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update files
Browse files- .gitattributes +1 -0
- TaipeiSansTCBeta-Regular.ttf +3 -0
- assets/Ch14_6_contour_curve_gradient_2D.svg +3 -0
- assets/Ch14_6_curve_tangent_plane_gradient_3D.svg +3 -0
- assets/Ch14_6_directional_derivative_3D.svg +3 -0
- assets/Ch14_6_directional_derivative_formula.svg +3 -0
- assets/Ch14_6_directional_derivative_gradient.svg +3 -0
- assets/Ch14_6_directional_derivative_gradient_3D.svg +3 -0
- assets/Ch14_6_directional_derivative_idea.svg +3 -0
- assets/Ch14_6_ex1.png +3 -0
- assets/Ch14_6_ex7.png +3 -0
- assets/Ch14_6_ex_compute_directional_direction.svg +3 -0
- assets/Ch14_6_ex_compute_directional_direction_not_normalized.svg +3 -0
- assets/Ch14_6_ex_max_directional_direction.svg +3 -0
- assets/Ch14_6_ex_tangent_contour_curve.svg +3 -0
- assets/Ch14_6_level_surface_gradient_3D.svg +3 -0
- assets/Ch14_6_max_directional_derivative_gradient_3D.svg +3 -0
- assets/Ch14_6_max_directional_direction.svg +3 -0
- assets/Ch14_6_max_directional_direction_gradient.svg +3 -0
- assets/Ch14_6_normal_line_gradient_3D.svg +3 -0
- assets/Ch14_6_partial_exist_directional_not.svg +3 -0
- assets/Ch14_6_tangent_plane_gradient_3D.svg +3 -0
- assets/Hant.svg +3 -0
- assets/SaddlePoint.png +3 -0
- assets/The_Directional_Derivative.png +3 -0
- assets/logo.png +3 -0
- assets/maximum.png +3 -0
- assets/partial_derivative.png +3 -0
- assets/—Pngtree—smiling emoji face giving thumbs_21439833.png +3 -0
- assets/—Pngtree—smiling face with thumbs up_17920558.png +3 -0
- assets/—Pngtree—thinking and smiling face emoji_17269046.png +3 -0
- layout/page/sections.py +0 -1
- layout/renderer/dt_callbacks.py +2 -65
- layout/renderer/dt_quiz.py +0 -8
- layout/renderer/dt_render_blocks.py +60 -51
- layout/shell/callbacks.py +0 -15
- layout/shell/header.py +4 -22
- pages/Ch14/C14_6/Md_14_6.md +0 -0
- pages/Ch14/C14_6/exported_result_14_6.json +0 -0
- pages/Ch14/C14_7/exported_result_14_7.json +201 -201
- pages/Ch14/C14_8/exported_result_14_8.json +126 -126
- pages/home.py +12 -19
- 中文.tex +11 -0
.gitattributes
CHANGED
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@@ -38,3 +38,4 @@ saved_model/**/* filter=lfs diff=lfs merge=lfs -text
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*.jpeg filter=lfs diff=lfs merge=lfs -text
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*.svg filter=lfs diff=lfs merge=lfs -text
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*.gif filter=lfs diff=lfs merge=lfs -text
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*.jpeg filter=lfs diff=lfs merge=lfs -text
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*.svg filter=lfs diff=lfs merge=lfs -text
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*.gif filter=lfs diff=lfs merge=lfs -text
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+
*.ttf filter=lfs diff=lfs merge=lfs -text
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TaipeiSansTCBeta-Regular.ttf
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@@ -0,0 +1,3 @@
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version https://git-lfs.github.com/spec/v1
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+
oid sha256:8cc967e1e428c552701c461e8169e6ae76c7a23694ea1a6a786d6746adec53c4
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+
size 20659344
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assets/Ch14_6_contour_curve_gradient_2D.svg
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Git LFS Details
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assets/Ch14_6_curve_tangent_plane_gradient_3D.svg
ADDED
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Git LFS Details
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assets/Ch14_6_directional_derivative_3D.svg
ADDED
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Git LFS Details
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assets/Ch14_6_directional_derivative_formula.svg
ADDED
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Git LFS Details
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assets/Ch14_6_directional_derivative_gradient.svg
ADDED
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Git LFS Details
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assets/Ch14_6_directional_derivative_gradient_3D.svg
ADDED
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Git LFS Details
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assets/Ch14_6_directional_derivative_idea.svg
ADDED
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Git LFS Details
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assets/Ch14_6_ex1.png
ADDED
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Git LFS Details
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assets/Ch14_6_ex7.png
ADDED
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Git LFS Details
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assets/Ch14_6_ex_compute_directional_direction.svg
ADDED
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Git LFS Details
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assets/Ch14_6_ex_compute_directional_direction_not_normalized.svg
ADDED
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Git LFS Details
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assets/Ch14_6_ex_max_directional_direction.svg
ADDED
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Git LFS Details
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assets/Ch14_6_ex_tangent_contour_curve.svg
ADDED
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Git LFS Details
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assets/Ch14_6_level_surface_gradient_3D.svg
ADDED
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Git LFS Details
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assets/Ch14_6_max_directional_derivative_gradient_3D.svg
ADDED
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Git LFS Details
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assets/Ch14_6_max_directional_direction.svg
ADDED
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Git LFS Details
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assets/Ch14_6_max_directional_direction_gradient.svg
ADDED
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Git LFS Details
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assets/Ch14_6_normal_line_gradient_3D.svg
ADDED
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Git LFS Details
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assets/Ch14_6_partial_exist_directional_not.svg
ADDED
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Git LFS Details
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assets/Ch14_6_tangent_plane_gradient_3D.svg
ADDED
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Git LFS Details
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assets/Hant.svg
ADDED
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Git LFS Details
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assets/SaddlePoint.png
ADDED
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Git LFS Details
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assets/The_Directional_Derivative.png
ADDED
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Git LFS Details
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assets/logo.png
ADDED
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Git LFS Details
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assets/maximum.png
ADDED
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Git LFS Details
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assets/partial_derivative.png
ADDED
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Git LFS Details
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assets/—Pngtree—smiling emoji face giving thumbs_21439833.png
ADDED
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Git LFS Details
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assets/—Pngtree—smiling face with thumbs up_17920558.png
ADDED
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Git LFS Details
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assets/—Pngtree—thinking and smiling face emoji_17269046.png
ADDED
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Git LFS Details
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layout/page/sections.py
CHANGED
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@@ -101,7 +101,6 @@ def make_section_control(
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variant="filled" if sid == active_id else "light",
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size="sm",
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style={"flex": "0 0 auto"},
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**{"data-sid": sid},
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)
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)
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variant="filled" if sid == active_id else "light",
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size="sm",
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style={"flex": "0 0 auto"},
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)
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)
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layout/renderer/dt_callbacks.py
CHANGED
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@@ -54,11 +54,9 @@ def _as_set(v) -> set:
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State({"type": "quiz-input", "qid": MATCH}, "value"),
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State({"type": "quiz-ans", "qid": MATCH}, "data"),
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State({"type": "quiz-pass-fill", "qid": MATCH}, "data"),
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State("student-id-store", "data"),
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State("page-url", "pathname"),
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prevent_initial_call=True,
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)
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-
def _cb_check_fill(n_check, n_hint, user_input, meta, prev_pass
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missing, msg = _quiz_missing_answer_notice({"kind": "fill", **(meta or {})})
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if missing:
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return _feedback_child(msg), "yellow", "light", {"display": "block"}, False
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@@ -87,38 +85,8 @@ def _cb_check_fill(n_check, n_hint, user_input, meta, prev_pass, student_id, pat
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return _feedback_child("（此題未開啟 AI 提示）"), "gray", "light", {}, (prev_pass or False)
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ok = eq_answer(user_input or "", meta.get("answers", []), ops, tol)
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trig = ctx.triggered_id
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is_check = isinstance(trig, dict) and trig.get("type") == "quiz-check"
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if ok:
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-
if is_check and student_id:
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qid = trig.get("qid", "")
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unit = (pathname or "").strip("/").replace("/", "_") or "unknown"
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try:
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from firebase_progress import log_quiz_result, log_quiz_question_stat, register_question
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_meta = meta or {}
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if qid:
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register_question(unit, qid, "fill",
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prompt_runs=_meta.get("prompt_runs"),
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prompt_md=_meta.get("prompt_md", ""))
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log_quiz_result(student_id, unit, qid, True, answer=user_input or "")
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log_quiz_question_stat(unit, qid, True)
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except Exception as e:
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print(f"[Firebase] fill correct 失敗：{e}")
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return _feedback_child(right_msg), "green", "light", {}, True
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if is_check and student_id:
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qid = trig.get("qid", "")
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unit = (pathname or "").strip("/").replace("/", "_") or "unknown"
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try:
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from firebase_progress import log_quiz_result, log_quiz_question_stat, register_question
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_meta = meta or {}
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if qid:
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register_question(unit, qid, "fill",
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prompt_runs=_meta.get("prompt_runs"),
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prompt_md=_meta.get("prompt_md", ""))
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log_quiz_result(student_id, unit, qid, False, answer=user_input or "")
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log_quiz_question_stat(unit, qid, False)
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except Exception as e:
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print(f"[Firebase] fill wrong 失敗：{e}")
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return _feedback_child(wrong_msg), "red", "light", {}, False
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@@ -153,11 +121,9 @@ def _fill_hint_loading_off(_children):
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Input( {"type": "quiz-hint-choice", "qid": MATCH}, "n_clicks"),
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State( {"type": "quiz-choice", "qid": MATCH}, "value"),
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State( {"type": "quiz-ans", "qid": MATCH}, "data"),
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State("student-id-store", "data"),
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State("page-url", "pathname"),
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prevent_initial_call=True,
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)
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-
def _cb_check_choice(n_submit, n_hint, val, meta
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missing, msg = _quiz_missing_answer_notice(meta or {})
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if missing:
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return _feedback_child(msg), "yellow", "light", {"display": "block"}, False
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ok = (selected == correct)
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else:
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ok = (val == (meta.get("answer") or ""))
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-
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# Firebase 記錄
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if student_id and is_submit:
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qid = trig.get("qid", "") if isinstance(trig, dict) else ""
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unit = (pathname or "").strip("/").replace("/", "_") or "unknown"
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try:
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from firebase_progress import log_quiz_result, log_quiz_question_stat, log_choice_option, register_question
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_meta = meta or {}
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options = _meta.get("options", [])
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if qid:
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_correct = _meta.get("answers") if qtype == "multi" else _meta.get("answer")
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register_question(unit, qid, qtype,
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prompt_runs=_meta.get("prompt_runs"),
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prompt_md=_meta.get("prompt_md", ""),
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options=options or None,
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correct_answer=_correct or None)
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# 記錄答題結果（含答案）
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selected_answer = ",".join(sorted(selected)) if qtype == "multi" else (val or "")
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log_quiz_result(student_id, unit, qid, ok, answer=selected_answer)
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log_quiz_question_stat(unit, qid, ok)
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# 記錄各選項被選次數（選擇題）
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if qtype == "choice" and val:
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log_choice_option(unit, qid, str(val))
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elif qtype == "multi":
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for sel_key in selected:
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log_choice_option(unit, qid, str(sel_key))
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except Exception as e:
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print(f"[Firebase] choice 失敗：{e}")
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if ok:
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msg = (meta.get("msg_right") or "✔ 正確！")
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if meta.get("explain"): msg += " " + meta["explain"]
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State({"type": "quiz-input", "qid": MATCH}, "value"),
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State({"type": "quiz-ans", "qid": MATCH}, "data"),
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State({"type": "quiz-pass-fill", "qid": MATCH}, "data"),
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prevent_initial_call=True,
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)
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def _cb_check_fill(n_check, n_hint, user_input, meta, prev_pass):
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missing, msg = _quiz_missing_answer_notice({"kind": "fill", **(meta or {})})
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if missing:
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return _feedback_child(msg), "yellow", "light", {"display": "block"}, False
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return _feedback_child("（此題未開啟 AI 提示）"), "gray", "light", {}, (prev_pass or False)
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ok = eq_answer(user_input or "", meta.get("answers", []), ops, tol)
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if ok:
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return _feedback_child(right_msg), "green", "light", {}, True
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return _feedback_child(wrong_msg), "red", "light", {}, False
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Input( {"type": "quiz-hint-choice", "qid": MATCH}, "n_clicks"),
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State( {"type": "quiz-choice", "qid": MATCH}, "value"),
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State( {"type": "quiz-ans", "qid": MATCH}, "data"),
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prevent_initial_call=True,
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)
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+
def _cb_check_choice(n_submit, n_hint, val, meta):
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missing, msg = _quiz_missing_answer_notice(meta or {})
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if missing:
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return _feedback_child(msg), "yellow", "light", {"display": "block"}, False
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ok = (selected == correct)
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else:
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ok = (val == (meta.get("answer") or ""))
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if ok:
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msg = (meta.get("msg_right") or "✔ 正確！")
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if meta.get("explain"): msg += " " + meta["explain"]
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layout/renderer/dt_quiz.py
CHANGED
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@@ -160,8 +160,6 @@ def render_quiz(node: dict):
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meta = {
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"qtype": qtype, "prompt_text": full_prompt_text,
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-
"prompt_runs": prompt_runs,
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"prompt_md": prompt_md,
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"options": opts, "answer": q.get("answer", ""),
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"answers": q.get("answers", []), "explain": q.get("explain", ""),
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"msg_right": q.get("msg_right", "✔ 正確！"),
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@@ -224,8 +222,6 @@ def render_quiz(node: dict):
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"normalize": q.get("normalize", []),
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"msg_right": node.get("right_msg", ""), "msg_wrong": node.get("wrong_msg", ""),
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"prompt_text": full_prompt_text,
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"prompt_runs": prompt_runs,
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"prompt_md": prompt_md,
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"ai": {
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"enabled": str(node.get("ai", "1")).lower() not in ("0", "false", "no", "off"),
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"provider": node.get("ai_provider") or "gemini",
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@@ -294,12 +290,8 @@ def render_quiz(node: dict):
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["分數 a/b", "a/b"],
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["π", "pi"],
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["e（自然數）", "e"],
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["sin(x)", "sin(x)"],
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["cos(x)", "cos(x)"],
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["ln(x)", "ln(x)"],
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["絕對值 |x|", "abs(x)"],
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["無限大 ∞", "oo"],
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["不存在", "DNE"],
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["乘號", "* 或直接省略"],
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],
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},
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meta = {
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"qtype": qtype, "prompt_text": full_prompt_text,
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"options": opts, "answer": q.get("answer", ""),
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"answers": q.get("answers", []), "explain": q.get("explain", ""),
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"msg_right": q.get("msg_right", "✔ 正確！"),
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"normalize": q.get("normalize", []),
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"msg_right": node.get("right_msg", ""), "msg_wrong": node.get("wrong_msg", ""),
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"prompt_text": full_prompt_text,
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"ai": {
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"enabled": str(node.get("ai", "1")).lower() not in ("0", "false", "no", "off"),
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"provider": node.get("ai_provider") or "gemini",
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["分數 a/b", "a/b"],
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["π", "pi"],
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["e（自然數）", "e"],
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["絕對值 |x|", "abs(x)"],
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["無限大 ∞", "oo"],
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["乘號", "* 或直接省略"],
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],
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},
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layout/renderer/dt_render_blocks.py
CHANGED
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@@ -81,86 +81,93 @@ def _px_or_raw(v: str | None, fallback_px: int) -> tuple:
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def render_geogebra(node: dict):
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"""
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-
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用法（JSON / ggb comment）：
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width / w
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height / h
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原理：
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-
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-
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| 97 |
-
這樣文字/物件的相對位置完全由 GeoGebra 自行決定，不會因為尺寸不一致而跑位。
|
| 98 |
"""
|
| 99 |
gid = (node.get("id") or "").strip()
|
| 100 |
w_raw = node.get("width") or node.get("w") or "100%"
|
| 101 |
-
h_raw
|
|
|
|
|
|
|
|
|
|
| 102 |
border = str(node.get("border") or "0") == "1"
|
| 103 |
caption = (node.get("caption") or "").strip()
|
| 104 |
use_card = str(node.get("card", "0")) not in ("0", "false", "False", "")
|
|
|
|
|
|
|
|
|
|
|
|
|
| 105 |
|
| 106 |
w_css, w_px = _px_or_raw(w_raw, 800)
|
| 107 |
-
_, h_px = _px_or_raw(h_raw,
|
| 108 |
|
| 109 |
-
# 設計尺寸
|
| 110 |
-
# 用 JSON 的 width/height 當比例基準；百分比寬度時用 h_px 推算
|
| 111 |
_, design_w = _px_or_raw(node.get("design_width") or node.get("dw") or "", 0)
|
| 112 |
_, design_h = _px_or_raw(node.get("design_height") or node.get("dh") or "", 0)
|
| 113 |
|
| 114 |
-
if design_w <= 0
|
| 115 |
-
#
|
| 116 |
-
|
| 117 |
-
|
| 118 |
-
|
| 119 |
-
|
| 120 |
-
|
| 121 |
-
design_h = round(base_h * scale_up)
|
| 122 |
|
| 123 |
-
|
| 124 |
-
|
|
|
|
| 125 |
|
| 126 |
-
#
|
| 127 |
-
|
| 128 |
-
design_h_final = design_h + round(extra_px * (design_w / (w_px or 800)))
|
| 129 |
-
|
| 130 |
-
# 寬高比（用設計尺寸計算，確保和原始一致）
|
| 131 |
-
aspect_pct = f"{design_h_final / design_w * 100:.4f}%"
|
| 132 |
-
|
| 133 |
-
# Aspect-ratio box：讓 iframe 自動跟著容器寬度縮放，高度保持比例
|
| 134 |
iframe_src = (
|
| 135 |
f"https://www.geogebra.org/material/iframe/id/{gid}"
|
|
|
|
| 136 |
f"/width/{design_w}/height/{design_h_final}"
|
| 137 |
f"/border/{'888888' if border else 'ffffff'}"
|
| 138 |
f"/sfsb/true/smb/false/stb/false/stbh/false/ai/false/asb/false"
|
| 139 |
f"/sri/false/rc/false/ld/false/sdz/false/ctl/false"
|
| 140 |
)
|
| 141 |
|
| 142 |
-
|
| 143 |
-
|
| 144 |
-
|
| 145 |
-
|
| 146 |
-
|
| 147 |
-
|
| 148 |
-
|
| 149 |
-
|
| 150 |
-
|
| 151 |
-
|
| 152 |
-
|
|
|
|
|
|
|
|
|
|
| 153 |
style={
|
| 154 |
-
"
|
| 155 |
-
"
|
| 156 |
-
"
|
| 157 |
-
"
|
| 158 |
-
"
|
|
|
|
| 159 |
},
|
| 160 |
)
|
| 161 |
|
| 162 |
-
|
| 163 |
-
inner_children = [html.Div(ratio_box, style=outer_style)]
|
| 164 |
if caption:
|
| 165 |
inner_children.append(
|
| 166 |
html.P(caption, style={"textAlign": "center", "fontSize": "0.9rem",
|
|
@@ -182,9 +189,11 @@ def maybe_render_paragraph_with_geogebra(item: dict):
|
|
| 182 |
node = {
|
| 183 |
"type": "geogebra", "id": gid,
|
| 184 |
"width": attrs.get("w") or attrs.get("width") or "100%",
|
| 185 |
-
"height": attrs.get("h") or attrs.get("height") or "
|
| 186 |
"design_width": attrs.get("dw") or attrs.get("design_width") or "",
|
| 187 |
"design_height": attrs.get("dh") or attrs.get("design_height") or "",
|
|
|
|
|
|
|
| 188 |
"border": attrs.get("border") or "0",
|
| 189 |
"caption": attrs.get("caption") or "",
|
| 190 |
"card": attrs.get("card") or "0",
|
|
|
|
| 81 |
|
| 82 |
def render_geogebra(node: dict):
|
| 83 |
"""
|
| 84 |
+
GeoGebra 嵌入。
|
| 85 |
|
| 86 |
用法（JSON / ggb comment）：
|
| 87 |
+
width / w : 外層容器最大寬度，預設 "100%"
|
| 88 |
+
height / h : GeoGebra 原始設計高度（px），預設 800
|
| 89 |
+
design_width / dw : GeoGebra 原始設計寬度（px）；未填時同 width（百分比則預設 800）
|
| 90 |
+
design_height / dh : GeoGebra 原始設計高度（px）；未填時同 height
|
| 91 |
+
extra_height / eh : 額外補高（px），直接加在設計高度上
|
| 92 |
+
app : GeoGebra app 類型（"3d" / "geometry" / "graphing" / "cas"）
|
| 93 |
+
border : "1" 顯示邊框
|
| 94 |
+
caption : 圖說文字
|
| 95 |
+
card : "1" 包在 Card 裡
|
| 96 |
|
| 97 |
原理：
|
| 98 |
+
iframe 以「設計尺寸」固定寬高（px）嵌入，不再縮放。
|
| 99 |
+
外層容器設 overflow: auto，當頁面容器比設計寬度窄時可橫向／縱向捲動，
|
| 100 |
+
確保 GeoGebra 內部所有區塊（2D + 3D 並排、slider、文字）完整顯示，不被裁切。
|
|
|
|
| 101 |
"""
|
| 102 |
gid = (node.get("id") or "").strip()
|
| 103 |
w_raw = node.get("width") or node.get("w") or "100%"
|
| 104 |
+
h_raw = node.get("height") or node.get("h") or "800"
|
| 105 |
+
# 把舊的預設值視為未設定
|
| 106 |
+
if h_raw in ("480", "480px"):
|
| 107 |
+
h_raw = "800"
|
| 108 |
border = str(node.get("border") or "0") == "1"
|
| 109 |
caption = (node.get("caption") or "").strip()
|
| 110 |
use_card = str(node.get("card", "0")) not in ("0", "false", "False", "")
|
| 111 |
+
app = (node.get("app") or "").strip().lower()
|
| 112 |
+
|
| 113 |
+
if not gid:
|
| 114 |
+
return dmc.Alert("⚠ GeoGebra：缺少 id 或 url。", color="yellow", variant="light")
|
| 115 |
|
| 116 |
w_css, w_px = _px_or_raw(w_raw, 800)
|
| 117 |
+
_, h_px = _px_or_raw(h_raw, 800)
|
| 118 |
|
| 119 |
+
# ── 設計尺寸：直接傳給 GeoGebra，決定 iframe 的真實像素大小 ──────────
|
|
|
|
| 120 |
_, design_w = _px_or_raw(node.get("design_width") or node.get("dw") or "", 0)
|
| 121 |
_, design_h = _px_or_raw(node.get("design_height") or node.get("dh") or "", 0)
|
| 122 |
|
| 123 |
+
if design_w <= 0:
|
| 124 |
+
# 未指定設計寬：用夠大的固定值讓 GeoGebra 不需要縮放。
|
| 125 |
+
# 1400 可容納 2D+3D 並排的典型 Classic 作品；
|
| 126 |
+
# 如需更小或更大可在 JSON/Markdown 用 dw= 覆蓋。
|
| 127 |
+
design_w = w_px if not w_raw.endswith("%") else 1400
|
| 128 |
+
if design_h <= 0:
|
| 129 |
+
design_h = h_px
|
|
|
|
| 130 |
|
| 131 |
+
# ── 額外補高：直接加，不乘縮放比 ────────────────────────────────────
|
| 132 |
+
_, extra_px = _px_or_raw(node.get("extra_height") or node.get("eh") or "0", 0)
|
| 133 |
+
design_h_final = design_h + extra_px
|
| 134 |
|
| 135 |
+
# ── iframe URL ────────────────────────────────────────────────────────
|
| 136 |
+
app_segment = f"/app/{app}" if app else ""
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 137 |
iframe_src = (
|
| 138 |
f"https://www.geogebra.org/material/iframe/id/{gid}"
|
| 139 |
+
f"{app_segment}"
|
| 140 |
f"/width/{design_w}/height/{design_h_final}"
|
| 141 |
f"/border/{'888888' if border else 'ffffff'}"
|
| 142 |
f"/sfsb/true/smb/false/stb/false/stbh/false/ai/false/asb/false"
|
| 143 |
f"/sri/false/rc/false/ld/false/sdz/false/ctl/false"
|
| 144 |
)
|
| 145 |
|
| 146 |
+
# ── iframe：className="ggb-iframe" 供 ggb_resize.js 偵測 ──────────────
|
| 147 |
+
iframe = html.Iframe(
|
| 148 |
+
src=iframe_src,
|
| 149 |
+
width=str(design_w),
|
| 150 |
+
height=str(design_h_final),
|
| 151 |
+
className="ggb-iframe",
|
| 152 |
+
style={"border": "none", "display": "block"},
|
| 153 |
+
allow="fullscreen",
|
| 154 |
+
)
|
| 155 |
+
|
| 156 |
+
# ── 捲動容器：className="ggb-wrap" 供 JS 調整 maxHeight ─────────────
|
| 157 |
+
scroll_box = html.Div(
|
| 158 |
+
iframe,
|
| 159 |
+
className="ggb-wrap",
|
| 160 |
style={
|
| 161 |
+
"width": w_css,
|
| 162 |
+
"maxWidth": "100%",
|
| 163 |
+
"overflowX": "auto",
|
| 164 |
+
"overflowY": "auto",
|
| 165 |
+
"margin": "0 auto",
|
| 166 |
+
"maxHeight": f"{design_h_final}px",
|
| 167 |
},
|
| 168 |
)
|
| 169 |
|
| 170 |
+
inner_children = [scroll_box]
|
|
|
|
| 171 |
if caption:
|
| 172 |
inner_children.append(
|
| 173 |
html.P(caption, style={"textAlign": "center", "fontSize": "0.9rem",
|
|
|
|
| 189 |
node = {
|
| 190 |
"type": "geogebra", "id": gid,
|
| 191 |
"width": attrs.get("w") or attrs.get("width") or "100%",
|
| 192 |
+
"height": attrs.get("h") or attrs.get("height") or "800",
|
| 193 |
"design_width": attrs.get("dw") or attrs.get("design_width") or "",
|
| 194 |
"design_height": attrs.get("dh") or attrs.get("design_height") or "",
|
| 195 |
+
"extra_height": attrs.get("eh") or attrs.get("extra_height") or "0",
|
| 196 |
+
"app": attrs.get("app") or "",
|
| 197 |
"border": attrs.get("border") or "0",
|
| 198 |
"caption": attrs.get("caption") or "",
|
| 199 |
"card": attrs.get("card") or "0",
|
layout/shell/callbacks.py
CHANGED
|
@@ -140,21 +140,6 @@ def switch_light_dark():
|
|
| 140 |
}
|
| 141 |
});
|
| 142 |
|
| 143 |
-
// === 專門處理 Mantine Card 背景色（根據 data-card-kind 套用對應顏色）===
|
| 144 |
-
document.querySelectorAll('.mantine-Card-root[data-card-kind]').forEach(function(card) {
|
| 145 |
-
var bodyColor = isDark ? card.dataset.bodyDark : card.dataset.bodyLight;
|
| 146 |
-
if (bodyColor) {
|
| 147 |
-
card.style.setProperty('background-color', bodyColor, 'important');
|
| 148 |
-
}
|
| 149 |
-
var header = card.querySelector('[data-card-header]');
|
| 150 |
-
if (header) {
|
| 151 |
-
var hColor = isDark ? header.dataset.headerDark : header.dataset.headerLight;
|
| 152 |
-
var fgColor = isDark ? header.dataset.fgDark : header.dataset.fgLight;
|
| 153 |
-
if (hColor) header.style.setProperty('background-color', hColor, 'important');
|
| 154 |
-
if (fgColor) header.style.setProperty('color', fgColor, 'important');
|
| 155 |
-
}
|
| 156 |
-
});
|
| 157 |
-
|
| 158 |
// 回傳字串避免 undefined（觸發 dash 更新）
|
| 159 |
return desired + ':' + Date.now();
|
| 160 |
}
|
|
|
|
| 140 |
}
|
| 141 |
});
|
| 142 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 143 |
// 回傳字串避免 undefined（觸發 dash 更新）
|
| 144 |
return desired + ':' + Date.now();
|
| 145 |
}
|
layout/shell/header.py
CHANGED
|
@@ -1,8 +1,6 @@
|
|
| 1 |
-
from dash_iconify import DashIconify
|
| 2 |
# header.py (或你專案中產生 header 的檔案)
|
| 3 |
from dash import html
|
| 4 |
import dash_mantine_components as dmc
|
| 5 |
-
from student_login import create_student_badge
|
| 6 |
|
| 7 |
HEADER_H = 50 # 想大一點改 72/80 即可
|
| 8 |
|
|
@@ -38,26 +36,10 @@ def generate_header():
|
|
| 38 |
|
| 39 |
right = dmc.Group(
|
| 40 |
align="center",
|
| 41 |
-
children=[
|
| 42 |
-
|
| 43 |
-
|
| 44 |
-
|
| 45 |
-
children=dmc.Tooltip(
|
| 46 |
-
label="老師後台",
|
| 47 |
-
children=dmc.ActionIcon(
|
| 48 |
-
DashIconify(icon="tabler:layout-dashboard", height=18),
|
| 49 |
-
size="md",
|
| 50 |
-
variant="subtle",
|
| 51 |
-
color="gray",
|
| 52 |
-
),
|
| 53 |
-
),
|
| 54 |
-
style={"lineHeight": 0},
|
| 55 |
-
),
|
| 56 |
-
dmc.Switch(
|
| 57 |
-
id="color-scheme-switch", size="lg", color="gray",
|
| 58 |
-
onLabel="🌙", offLabel="☀️", persistence=True
|
| 59 |
-
),
|
| 60 |
-
],
|
| 61 |
style={"height": "100%"},
|
| 62 |
)
|
| 63 |
|
|
|
|
|
|
|
| 1 |
# header.py (或你專案中產生 header 的檔案)
|
| 2 |
from dash import html
|
| 3 |
import dash_mantine_components as dmc
|
|
|
|
| 4 |
|
| 5 |
HEADER_H = 50 # 想大一點改 72/80 即可
|
| 6 |
|
|
|
|
| 36 |
|
| 37 |
right = dmc.Group(
|
| 38 |
align="center",
|
| 39 |
+
children=[dmc.Switch(
|
| 40 |
+
id="color-scheme-switch", size="lg", color="gray",
|
| 41 |
+
onLabel="🌙", offLabel="☀️", persistence=True
|
| 42 |
+
)],
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 43 |
style={"height": "100%"},
|
| 44 |
)
|
| 45 |
|
pages/Ch14/C14_6/Md_14_6.md
CHANGED
|
The diff for this file is too large to render.
See raw diff
|
|
|
pages/Ch14/C14_6/exported_result_14_6.json
CHANGED
|
The diff for this file is too large to render.
See raw diff
|
|
|
pages/Ch14/C14_7/exported_result_14_7.json
CHANGED
|
@@ -567,7 +567,7 @@
|
|
| 567 |
},
|
| 568 |
{
|
| 569 |
"type": "flow",
|
| 570 |
-
"id": "flow-
|
| 571 |
"persist": "",
|
| 572 |
"steps": [
|
| 573 |
{
|
|
@@ -578,7 +578,7 @@
|
|
| 578 |
{
|
| 579 |
"type": "quiz",
|
| 580 |
"qtype": "choice",
|
| 581 |
-
"id": "flow-
|
| 582 |
"prompt_runs": [
|
| 583 |
{
|
| 584 |
"text": "「函數 "
|
|
@@ -629,7 +629,7 @@
|
|
| 629 |
"wrong_hints": {},
|
| 630 |
"card": "0",
|
| 631 |
"answer": "b",
|
| 632 |
-
"flow": "flow-
|
| 633 |
"step": "step-1"
|
| 634 |
}
|
| 635 |
],
|
|
@@ -672,7 +672,7 @@
|
|
| 672 |
]
|
| 673 |
}
|
| 674 |
],
|
| 675 |
-
"gate_from": "flow-
|
| 676 |
}
|
| 677 |
]
|
| 678 |
},
|
|
@@ -1305,7 +1305,7 @@
|
|
| 1305 |
"body": [
|
| 1306 |
{
|
| 1307 |
"type": "flow",
|
| 1308 |
-
"id": "flow-
|
| 1309 |
"persist": "",
|
| 1310 |
"steps": [
|
| 1311 |
{
|
|
@@ -1316,7 +1316,7 @@
|
|
| 1316 |
{
|
| 1317 |
"type": "quiz",
|
| 1318 |
"qtype": "choice",
|
| 1319 |
-
"id": "flow-
|
| 1320 |
"prompt_runs": [
|
| 1321 |
{
|
| 1322 |
"text": "找臨界點的第一步是？"
|
|
@@ -1347,7 +1347,7 @@
|
|
| 1347 |
"wrong_hints": {},
|
| 1348 |
"card": "0",
|
| 1349 |
"answer": "c",
|
| 1350 |
-
"flow": "flow-
|
| 1351 |
"step": "step-1"
|
| 1352 |
}
|
| 1353 |
],
|
|
@@ -1361,7 +1361,7 @@
|
|
| 1361 |
{
|
| 1362 |
"type": "quiz",
|
| 1363 |
"qtype": "fill",
|
| 1364 |
-
"id": "flow-
|
| 1365 |
"prompt_runs": [
|
| 1366 |
{
|
| 1367 |
"latex": "$f_x = ?$",
|
|
@@ -1382,11 +1382,11 @@
|
|
| 1382 |
"right_msg": "",
|
| 1383 |
"wrong_msg": "",
|
| 1384 |
"card": "0",
|
| 1385 |
-
"flow": "flow-
|
| 1386 |
"step": "step-2"
|
| 1387 |
}
|
| 1388 |
],
|
| 1389 |
-
"gate_from": "flow-
|
| 1390 |
},
|
| 1391 |
{
|
| 1392 |
"id": "step-3",
|
|
@@ -1396,7 +1396,7 @@
|
|
| 1396 |
{
|
| 1397 |
"type": "quiz",
|
| 1398 |
"qtype": "fill",
|
| 1399 |
-
"id": "flow-
|
| 1400 |
"prompt_runs": [
|
| 1401 |
{
|
| 1402 |
"latex": "$f_y = ?$",
|
|
@@ -1417,11 +1417,11 @@
|
|
| 1417 |
"right_msg": "",
|
| 1418 |
"wrong_msg": "",
|
| 1419 |
"card": "0",
|
| 1420 |
-
"flow": "flow-
|
| 1421 |
"step": "step-3"
|
| 1422 |
}
|
| 1423 |
],
|
| 1424 |
-
"gate_from": "flow-
|
| 1425 |
},
|
| 1426 |
{
|
| 1427 |
"id": "step-4",
|
|
@@ -1431,7 +1431,7 @@
|
|
| 1431 |
{
|
| 1432 |
"type": "quiz",
|
| 1433 |
"qtype": "choice",
|
| 1434 |
-
"id": "flow-
|
| 1435 |
"prompt_runs": [
|
| 1436 |
{
|
| 1437 |
"text": "令 "
|
|
@@ -1469,11 +1469,11 @@
|
|
| 1469 |
"wrong_hints": {},
|
| 1470 |
"card": "0",
|
| 1471 |
"answer": "a",
|
| 1472 |
-
"flow": "flow-
|
| 1473 |
"step": "step-4"
|
| 1474 |
}
|
| 1475 |
],
|
| 1476 |
-
"gate_from": "flow-
|
| 1477 |
}
|
| 1478 |
]
|
| 1479 |
}
|
|
@@ -1639,7 +1639,7 @@
|
|
| 1639 |
"body": [
|
| 1640 |
{
|
| 1641 |
"type": "flow",
|
| 1642 |
-
"id": "flow-
|
| 1643 |
"persist": "",
|
| 1644 |
"steps": [
|
| 1645 |
{
|
|
@@ -1650,7 +1650,7 @@
|
|
| 1650 |
{
|
| 1651 |
"type": "quiz",
|
| 1652 |
"qtype": "choice",
|
| 1653 |
-
"id": "flow-
|
| 1654 |
"prompt_runs": [
|
| 1655 |
{
|
| 1656 |
"latex": "$D(1,2) = 16$",
|
|
@@ -1688,7 +1688,7 @@
|
|
| 1688 |
"wrong_hints": {},
|
| 1689 |
"card": "0",
|
| 1690 |
"answer": "b",
|
| 1691 |
-
"flow": "flow-
|
| 1692 |
"step": "step-1"
|
| 1693 |
}
|
| 1694 |
],
|
|
@@ -1702,7 +1702,7 @@
|
|
| 1702 |
{
|
| 1703 |
"type": "quiz",
|
| 1704 |
"qtype": "choice",
|
| 1705 |
-
"id": "flow-
|
| 1706 |
"prompt_runs": [
|
| 1707 |
{
|
| 1708 |
"latex": "$f_{xx}(1,2) = -3$",
|
|
@@ -1740,11 +1740,11 @@
|
|
| 1740 |
"wrong_hints": {},
|
| 1741 |
"card": "0",
|
| 1742 |
"answer": "a",
|
| 1743 |
-
"flow": "flow-
|
| 1744 |
"step": "step-2"
|
| 1745 |
}
|
| 1746 |
],
|
| 1747 |
-
"gate_from": "flow-
|
| 1748 |
},
|
| 1749 |
{
|
| 1750 |
"id": "step-3",
|
|
@@ -1754,7 +1754,7 @@
|
|
| 1754 |
{
|
| 1755 |
"type": "quiz",
|
| 1756 |
"qtype": "choice",
|
| 1757 |
-
"id": "flow-
|
| 1758 |
"prompt_runs": [
|
| 1759 |
{
|
| 1760 |
"text": "根據二階導數判別法，結果是？"
|
|
@@ -1785,11 +1785,11 @@
|
|
| 1785 |
"wrong_hints": {},
|
| 1786 |
"card": "0",
|
| 1787 |
"answer": "a",
|
| 1788 |
-
"flow": "flow-
|
| 1789 |
"step": "step-3"
|
| 1790 |
}
|
| 1791 |
],
|
| 1792 |
-
"gate_from": "flow-
|
| 1793 |
}
|
| 1794 |
]
|
| 1795 |
}
|
|
@@ -2198,7 +2198,7 @@
|
|
| 2198 |
"body": [
|
| 2199 |
{
|
| 2200 |
"type": "flow",
|
| 2201 |
-
"id": "flow-
|
| 2202 |
"persist": "",
|
| 2203 |
"steps": [
|
| 2204 |
{
|
|
@@ -2209,7 +2209,7 @@
|
|
| 2209 |
{
|
| 2210 |
"type": "quiz",
|
| 2211 |
"qtype": "fill",
|
| 2212 |
-
"id": "flow-
|
| 2213 |
"prompt_runs": [
|
| 2214 |
{
|
| 2215 |
"text": "先計算一階偏導數("
|
|
@@ -2240,7 +2240,7 @@
|
|
| 2240 |
"right_msg": "",
|
| 2241 |
"wrong_msg": "",
|
| 2242 |
"card": "0",
|
| 2243 |
-
"flow": "flow-
|
| 2244 |
"step": "step-1"
|
| 2245 |
}
|
| 2246 |
],
|
|
@@ -2254,7 +2254,7 @@
|
|
| 2254 |
{
|
| 2255 |
"type": "quiz",
|
| 2256 |
"qtype": "fill",
|
| 2257 |
-
"id": "flow-
|
| 2258 |
"prompt_runs": [
|
| 2259 |
{
|
| 2260 |
"text": "再請問"
|
|
@@ -2278,11 +2278,11 @@
|
|
| 2278 |
"right_msg": "",
|
| 2279 |
"wrong_msg": "",
|
| 2280 |
"card": "0",
|
| 2281 |
-
"flow": "flow-
|
| 2282 |
"step": "step-2"
|
| 2283 |
}
|
| 2284 |
],
|
| 2285 |
-
"gate_from": "flow-
|
| 2286 |
},
|
| 2287 |
{
|
| 2288 |
"id": "step-3",
|
|
@@ -2319,7 +2319,7 @@
|
|
| 2319 |
{
|
| 2320 |
"type": "quiz",
|
| 2321 |
"qtype": "choice",
|
| 2322 |
-
"id": "flow-
|
| 2323 |
"prompt_runs": [
|
| 2324 |
{
|
| 2325 |
"text": "所以 "
|
|
@@ -2349,11 +2349,11 @@
|
|
| 2349 |
"wrong_hints": {},
|
| 2350 |
"card": "0",
|
| 2351 |
"answer": "a",
|
| 2352 |
-
"flow": "flow-
|
| 2353 |
"step": "step-3"
|
| 2354 |
}
|
| 2355 |
],
|
| 2356 |
-
"gate_from": "flow-
|
| 2357 |
},
|
| 2358 |
{
|
| 2359 |
"id": "step-4",
|
|
@@ -2386,7 +2386,7 @@
|
|
| 2386 |
{
|
| 2387 |
"type": "quiz",
|
| 2388 |
"qtype": "fill",
|
| 2389 |
-
"id": "flow-
|
| 2390 |
"prompt_runs": [
|
| 2391 |
{
|
| 2392 |
"latex": "$$\nf_{xx}=\\frac{\\partial}{\\partial x}(2x)=?\n$$",
|
|
@@ -2407,11 +2407,11 @@
|
|
| 2407 |
"right_msg": "",
|
| 2408 |
"wrong_msg": "",
|
| 2409 |
"card": "0",
|
| 2410 |
-
"flow": "flow-
|
| 2411 |
"step": "step-4"
|
| 2412 |
}
|
| 2413 |
],
|
| 2414 |
-
"gate_from": "flow-
|
| 2415 |
},
|
| 2416 |
{
|
| 2417 |
"id": "step-5",
|
|
@@ -2421,7 +2421,7 @@
|
|
| 2421 |
{
|
| 2422 |
"type": "quiz",
|
| 2423 |
"qtype": "fill",
|
| 2424 |
-
"id": "flow-
|
| 2425 |
"prompt_runs": [
|
| 2426 |
{
|
| 2427 |
"latex": "$$\nf_{yy}=\\frac{\\partial}{\\partial y}(-2y)=?\n$$",
|
|
@@ -2442,11 +2442,11 @@
|
|
| 2442 |
"right_msg": "",
|
| 2443 |
"wrong_msg": "",
|
| 2444 |
"card": "0",
|
| 2445 |
-
"flow": "flow-
|
| 2446 |
"step": "step-5"
|
| 2447 |
}
|
| 2448 |
],
|
| 2449 |
-
"gate_from": "flow-
|
| 2450 |
},
|
| 2451 |
{
|
| 2452 |
"id": "step-6",
|
|
@@ -2456,7 +2456,7 @@
|
|
| 2456 |
{
|
| 2457 |
"type": "quiz",
|
| 2458 |
"qtype": "fill",
|
| 2459 |
-
"id": "flow-
|
| 2460 |
"prompt_runs": [
|
| 2461 |
{
|
| 2462 |
"latex": "$$\nf_{xy}=\\frac{\\partial}{\\partial y}(2x)=?\n$$",
|
|
@@ -2477,11 +2477,11 @@
|
|
| 2477 |
"right_msg": "",
|
| 2478 |
"wrong_msg": "",
|
| 2479 |
"card": "0",
|
| 2480 |
-
"flow": "flow-
|
| 2481 |
"step": "step-6"
|
| 2482 |
}
|
| 2483 |
],
|
| 2484 |
-
"gate_from": "flow-
|
| 2485 |
},
|
| 2486 |
{
|
| 2487 |
"id": "step-7",
|
|
@@ -2511,7 +2511,7 @@
|
|
| 2511 |
{
|
| 2512 |
"type": "quiz",
|
| 2513 |
"qtype": "fill",
|
| 2514 |
-
"id": "flow-
|
| 2515 |
"prompt_runs": [
|
| 2516 |
{
|
| 2517 |
"text": "因此"
|
|
@@ -2535,11 +2535,11 @@
|
|
| 2535 |
"right_msg": "",
|
| 2536 |
"wrong_msg": "",
|
| 2537 |
"card": "0",
|
| 2538 |
-
"flow": "flow-
|
| 2539 |
"step": "step-7"
|
| 2540 |
}
|
| 2541 |
],
|
| 2542 |
-
"gate_from": "flow-
|
| 2543 |
},
|
| 2544 |
{
|
| 2545 |
"id": "step-8",
|
|
@@ -2549,7 +2549,7 @@
|
|
| 2549 |
{
|
| 2550 |
"type": "quiz",
|
| 2551 |
"qtype": "choice",
|
| 2552 |
-
"id": "flow-
|
| 2553 |
"prompt_runs": [
|
| 2554 |
{
|
| 2555 |
"text": "因為"
|
|
@@ -2594,11 +2594,11 @@
|
|
| 2594 |
"wrong_hints": {},
|
| 2595 |
"card": "0",
|
| 2596 |
"answer": "c",
|
| 2597 |
-
"flow": "flow-
|
| 2598 |
"step": "step-8"
|
| 2599 |
}
|
| 2600 |
],
|
| 2601 |
-
"gate_from": "flow-
|
| 2602 |
},
|
| 2603 |
{
|
| 2604 |
"id": "step-9",
|
|
@@ -2637,7 +2637,7 @@
|
|
| 2637 |
]
|
| 2638 |
}
|
| 2639 |
],
|
| 2640 |
-
"gate_from": "flow-
|
| 2641 |
}
|
| 2642 |
]
|
| 2643 |
}
|
|
@@ -3844,7 +3844,7 @@
|
|
| 3844 |
"body": [
|
| 3845 |
{
|
| 3846 |
"type": "flow",
|
| 3847 |
-
"id": "flow-
|
| 3848 |
"persist": "",
|
| 3849 |
"steps": [
|
| 3850 |
{
|
|
@@ -3899,7 +3899,7 @@
|
|
| 3899 |
{
|
| 3900 |
"type": "quiz",
|
| 3901 |
"qtype": "choice",
|
| 3902 |
-
"id": "flow-
|
| 3903 |
"prompt_runs": [
|
| 3904 |
{
|
| 3905 |
"text": "此點是否在 "
|
|
@@ -3944,7 +3944,7 @@
|
|
| 3944 |
"wrong_hints": {},
|
| 3945 |
"card": "0",
|
| 3946 |
"answer": "c",
|
| 3947 |
-
"flow": "flow-
|
| 3948 |
"step": "step-1"
|
| 3949 |
}
|
| 3950 |
],
|
|
@@ -3995,7 +3995,7 @@
|
|
| 3995 |
{
|
| 3996 |
"type": "quiz",
|
| 3997 |
"qtype": "fill",
|
| 3998 |
-
"id": "flow-
|
| 3999 |
"prompt_runs": [
|
| 4000 |
{
|
| 4001 |
"text": "此邊界上的最大值："
|
|
@@ -4015,11 +4015,11 @@
|
|
| 4015 |
"right_msg": "",
|
| 4016 |
"wrong_msg": "",
|
| 4017 |
"card": "0",
|
| 4018 |
-
"flow": "flow-
|
| 4019 |
"step": "step-2"
|
| 4020 |
}
|
| 4021 |
],
|
| 4022 |
-
"gate_from": "flow-
|
| 4023 |
},
|
| 4024 |
{
|
| 4025 |
"id": "step-3",
|
|
@@ -4059,7 +4059,7 @@
|
|
| 4059 |
{
|
| 4060 |
"type": "quiz",
|
| 4061 |
"qtype": "fill",
|
| 4062 |
-
"id": "flow-
|
| 4063 |
"prompt_runs": [
|
| 4064 |
{
|
| 4065 |
"text": "此邊界上的最小值："
|
|
@@ -4079,11 +4079,11 @@
|
|
| 4079 |
"right_msg": "",
|
| 4080 |
"wrong_msg": "",
|
| 4081 |
"card": "0",
|
| 4082 |
-
"flow": "flow-
|
| 4083 |
"step": "step-3"
|
| 4084 |
}
|
| 4085 |
],
|
| 4086 |
-
"gate_from": "flow-
|
| 4087 |
},
|
| 4088 |
{
|
| 4089 |
"id": "step-4",
|
|
@@ -4093,7 +4093,7 @@
|
|
| 4093 |
{
|
| 4094 |
"type": "quiz",
|
| 4095 |
"qtype": "fill",
|
| 4096 |
-
"id": "flow-
|
| 4097 |
"prompt_runs": [
|
| 4098 |
{
|
| 4099 |
"text": "邊界 "
|
|
@@ -4134,11 +4134,11 @@
|
|
| 4134 |
"right_msg": "",
|
| 4135 |
"wrong_msg": "",
|
| 4136 |
"card": "0",
|
| 4137 |
-
"flow": "flow-
|
| 4138 |
"step": "step-4"
|
| 4139 |
}
|
| 4140 |
],
|
| 4141 |
-
"gate_from": "flow-
|
| 4142 |
},
|
| 4143 |
{
|
| 4144 |
"id": "step-5",
|
|
@@ -4171,7 +4171,7 @@
|
|
| 4171 |
{
|
| 4172 |
"type": "quiz",
|
| 4173 |
"qtype": "fill",
|
| 4174 |
-
"id": "flow-
|
| 4175 |
"prompt_runs": [
|
| 4176 |
{
|
| 4177 |
"text": "絕對最大值："
|
|
@@ -4191,7 +4191,7 @@
|
|
| 4191 |
"right_msg": "",
|
| 4192 |
"wrong_msg": "",
|
| 4193 |
"card": "0",
|
| 4194 |
-
"flow": "flow-
|
| 4195 |
"step": "step-5"
|
| 4196 |
},
|
| 4197 |
{
|
|
@@ -4203,7 +4203,7 @@
|
|
| 4203 |
{
|
| 4204 |
"type": "quiz",
|
| 4205 |
"qtype": "fill",
|
| 4206 |
-
"id": "flow-
|
| 4207 |
"prompt_runs": [
|
| 4208 |
{
|
| 4209 |
"text": "絕對最小值："
|
|
@@ -4223,7 +4223,7 @@
|
|
| 4223 |
"right_msg": "",
|
| 4224 |
"wrong_msg": "",
|
| 4225 |
"card": "0",
|
| 4226 |
-
"flow": "flow-
|
| 4227 |
"step": "step-5"
|
| 4228 |
},
|
| 4229 |
{
|
|
@@ -4288,7 +4288,7 @@
|
|
| 4288 |
]
|
| 4289 |
}
|
| 4290 |
],
|
| 4291 |
-
"gate_from": "flow-
|
| 4292 |
}
|
| 4293 |
]
|
| 4294 |
}
|
|
@@ -4810,7 +4810,7 @@
|
|
| 4810 |
},
|
| 4811 |
{
|
| 4812 |
"type": "flow",
|
| 4813 |
-
"id": "flow-
|
| 4814 |
"persist": "",
|
| 4815 |
"steps": [
|
| 4816 |
{
|
|
@@ -4821,7 +4821,7 @@
|
|
| 4821 |
{
|
| 4822 |
"type": "quiz",
|
| 4823 |
"qtype": "choice",
|
| 4824 |
-
"id": "flow-
|
| 4825 |
"prompt_runs": [
|
| 4826 |
{
|
| 4827 |
"text": "「函數 "
|
|
@@ -4872,7 +4872,7 @@
|
|
| 4872 |
"wrong_hints": {},
|
| 4873 |
"card": "0",
|
| 4874 |
"answer": "b",
|
| 4875 |
-
"flow": "flow-
|
| 4876 |
"step": "step-1"
|
| 4877 |
}
|
| 4878 |
],
|
|
@@ -4915,7 +4915,7 @@
|
|
| 4915 |
]
|
| 4916 |
}
|
| 4917 |
],
|
| 4918 |
-
"gate_from": "flow-
|
| 4919 |
}
|
| 4920 |
]
|
| 4921 |
},
|
|
@@ -5548,7 +5548,7 @@
|
|
| 5548 |
"body": [
|
| 5549 |
{
|
| 5550 |
"type": "flow",
|
| 5551 |
-
"id": "flow-
|
| 5552 |
"persist": "",
|
| 5553 |
"steps": [
|
| 5554 |
{
|
|
@@ -5559,7 +5559,7 @@
|
|
| 5559 |
{
|
| 5560 |
"type": "quiz",
|
| 5561 |
"qtype": "choice",
|
| 5562 |
-
"id": "flow-
|
| 5563 |
"prompt_runs": [
|
| 5564 |
{
|
| 5565 |
"text": "找臨界點的第一步是？"
|
|
@@ -5590,7 +5590,7 @@
|
|
| 5590 |
"wrong_hints": {},
|
| 5591 |
"card": "0",
|
| 5592 |
"answer": "c",
|
| 5593 |
-
"flow": "flow-
|
| 5594 |
"step": "step-1"
|
| 5595 |
}
|
| 5596 |
],
|
|
@@ -5604,7 +5604,7 @@
|
|
| 5604 |
{
|
| 5605 |
"type": "quiz",
|
| 5606 |
"qtype": "fill",
|
| 5607 |
-
"id": "flow-
|
| 5608 |
"prompt_runs": [
|
| 5609 |
{
|
| 5610 |
"latex": "$f_x = ?$",
|
|
@@ -5625,11 +5625,11 @@
|
|
| 5625 |
"right_msg": "",
|
| 5626 |
"wrong_msg": "",
|
| 5627 |
"card": "0",
|
| 5628 |
-
"flow": "flow-
|
| 5629 |
"step": "step-2"
|
| 5630 |
}
|
| 5631 |
],
|
| 5632 |
-
"gate_from": "flow-
|
| 5633 |
},
|
| 5634 |
{
|
| 5635 |
"id": "step-3",
|
|
@@ -5639,7 +5639,7 @@
|
|
| 5639 |
{
|
| 5640 |
"type": "quiz",
|
| 5641 |
"qtype": "fill",
|
| 5642 |
-
"id": "flow-
|
| 5643 |
"prompt_runs": [
|
| 5644 |
{
|
| 5645 |
"latex": "$f_y = ?$",
|
|
@@ -5660,11 +5660,11 @@
|
|
| 5660 |
"right_msg": "",
|
| 5661 |
"wrong_msg": "",
|
| 5662 |
"card": "0",
|
| 5663 |
-
"flow": "flow-
|
| 5664 |
"step": "step-3"
|
| 5665 |
}
|
| 5666 |
],
|
| 5667 |
-
"gate_from": "flow-
|
| 5668 |
},
|
| 5669 |
{
|
| 5670 |
"id": "step-4",
|
|
@@ -5674,7 +5674,7 @@
|
|
| 5674 |
{
|
| 5675 |
"type": "quiz",
|
| 5676 |
"qtype": "choice",
|
| 5677 |
-
"id": "flow-
|
| 5678 |
"prompt_runs": [
|
| 5679 |
{
|
| 5680 |
"text": "令 "
|
|
@@ -5712,11 +5712,11 @@
|
|
| 5712 |
"wrong_hints": {},
|
| 5713 |
"card": "0",
|
| 5714 |
"answer": "a",
|
| 5715 |
-
"flow": "flow-
|
| 5716 |
"step": "step-4"
|
| 5717 |
}
|
| 5718 |
],
|
| 5719 |
-
"gate_from": "flow-
|
| 5720 |
}
|
| 5721 |
]
|
| 5722 |
}
|
|
@@ -5882,7 +5882,7 @@
|
|
| 5882 |
"body": [
|
| 5883 |
{
|
| 5884 |
"type": "flow",
|
| 5885 |
-
"id": "flow-
|
| 5886 |
"persist": "",
|
| 5887 |
"steps": [
|
| 5888 |
{
|
|
@@ -5893,7 +5893,7 @@
|
|
| 5893 |
{
|
| 5894 |
"type": "quiz",
|
| 5895 |
"qtype": "choice",
|
| 5896 |
-
"id": "flow-
|
| 5897 |
"prompt_runs": [
|
| 5898 |
{
|
| 5899 |
"latex": "$D(1,2) = 16$",
|
|
@@ -5931,7 +5931,7 @@
|
|
| 5931 |
"wrong_hints": {},
|
| 5932 |
"card": "0",
|
| 5933 |
"answer": "b",
|
| 5934 |
-
"flow": "flow-
|
| 5935 |
"step": "step-1"
|
| 5936 |
}
|
| 5937 |
],
|
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@@ -5945,7 +5945,7 @@
|
|
| 5945 |
{
|
| 5946 |
"type": "quiz",
|
| 5947 |
"qtype": "choice",
|
| 5948 |
-
"id": "flow-
|
| 5949 |
"prompt_runs": [
|
| 5950 |
{
|
| 5951 |
"latex": "$f_{xx}(1,2) = -3$",
|
|
@@ -5983,11 +5983,11 @@
|
|
| 5983 |
"wrong_hints": {},
|
| 5984 |
"card": "0",
|
| 5985 |
"answer": "a",
|
| 5986 |
-
"flow": "flow-
|
| 5987 |
"step": "step-2"
|
| 5988 |
}
|
| 5989 |
],
|
| 5990 |
-
"gate_from": "flow-
|
| 5991 |
},
|
| 5992 |
{
|
| 5993 |
"id": "step-3",
|
|
@@ -5997,7 +5997,7 @@
|
|
| 5997 |
{
|
| 5998 |
"type": "quiz",
|
| 5999 |
"qtype": "choice",
|
| 6000 |
-
"id": "flow-
|
| 6001 |
"prompt_runs": [
|
| 6002 |
{
|
| 6003 |
"text": "根據二階導數判別法，結果是？"
|
|
@@ -6028,11 +6028,11 @@
|
|
| 6028 |
"wrong_hints": {},
|
| 6029 |
"card": "0",
|
| 6030 |
"answer": "a",
|
| 6031 |
-
"flow": "flow-
|
| 6032 |
"step": "step-3"
|
| 6033 |
}
|
| 6034 |
],
|
| 6035 |
-
"gate_from": "flow-
|
| 6036 |
}
|
| 6037 |
]
|
| 6038 |
}
|
|
@@ -6441,7 +6441,7 @@
|
|
| 6441 |
"body": [
|
| 6442 |
{
|
| 6443 |
"type": "flow",
|
| 6444 |
-
"id": "flow-
|
| 6445 |
"persist": "",
|
| 6446 |
"steps": [
|
| 6447 |
{
|
|
@@ -6452,7 +6452,7 @@
|
|
| 6452 |
{
|
| 6453 |
"type": "quiz",
|
| 6454 |
"qtype": "fill",
|
| 6455 |
-
"id": "flow-
|
| 6456 |
"prompt_runs": [
|
| 6457 |
{
|
| 6458 |
"text": "先計算一階偏導數("
|
|
@@ -6483,7 +6483,7 @@
|
|
| 6483 |
"right_msg": "",
|
| 6484 |
"wrong_msg": "",
|
| 6485 |
"card": "0",
|
| 6486 |
-
"flow": "flow-
|
| 6487 |
"step": "step-1"
|
| 6488 |
}
|
| 6489 |
],
|
|
@@ -6497,7 +6497,7 @@
|
|
| 6497 |
{
|
| 6498 |
"type": "quiz",
|
| 6499 |
"qtype": "fill",
|
| 6500 |
-
"id": "flow-
|
| 6501 |
"prompt_runs": [
|
| 6502 |
{
|
| 6503 |
"text": "再請問"
|
|
@@ -6521,11 +6521,11 @@
|
|
| 6521 |
"right_msg": "",
|
| 6522 |
"wrong_msg": "",
|
| 6523 |
"card": "0",
|
| 6524 |
-
"flow": "flow-
|
| 6525 |
"step": "step-2"
|
| 6526 |
}
|
| 6527 |
],
|
| 6528 |
-
"gate_from": "flow-
|
| 6529 |
},
|
| 6530 |
{
|
| 6531 |
"id": "step-3",
|
|
@@ -6562,7 +6562,7 @@
|
|
| 6562 |
{
|
| 6563 |
"type": "quiz",
|
| 6564 |
"qtype": "choice",
|
| 6565 |
-
"id": "flow-
|
| 6566 |
"prompt_runs": [
|
| 6567 |
{
|
| 6568 |
"text": "所以 "
|
|
@@ -6592,11 +6592,11 @@
|
|
| 6592 |
"wrong_hints": {},
|
| 6593 |
"card": "0",
|
| 6594 |
"answer": "a",
|
| 6595 |
-
"flow": "flow-
|
| 6596 |
"step": "step-3"
|
| 6597 |
}
|
| 6598 |
],
|
| 6599 |
-
"gate_from": "flow-
|
| 6600 |
},
|
| 6601 |
{
|
| 6602 |
"id": "step-4",
|
|
@@ -6629,7 +6629,7 @@
|
|
| 6629 |
{
|
| 6630 |
"type": "quiz",
|
| 6631 |
"qtype": "fill",
|
| 6632 |
-
"id": "flow-
|
| 6633 |
"prompt_runs": [
|
| 6634 |
{
|
| 6635 |
"latex": "$$\nf_{xx}=\\frac{\\partial}{\\partial x}(2x)=?\n$$",
|
|
@@ -6650,11 +6650,11 @@
|
|
| 6650 |
"right_msg": "",
|
| 6651 |
"wrong_msg": "",
|
| 6652 |
"card": "0",
|
| 6653 |
-
"flow": "flow-
|
| 6654 |
"step": "step-4"
|
| 6655 |
}
|
| 6656 |
],
|
| 6657 |
-
"gate_from": "flow-
|
| 6658 |
},
|
| 6659 |
{
|
| 6660 |
"id": "step-5",
|
|
@@ -6664,7 +6664,7 @@
|
|
| 6664 |
{
|
| 6665 |
"type": "quiz",
|
| 6666 |
"qtype": "fill",
|
| 6667 |
-
"id": "flow-
|
| 6668 |
"prompt_runs": [
|
| 6669 |
{
|
| 6670 |
"latex": "$$\nf_{yy}=\\frac{\\partial}{\\partial y}(-2y)=?\n$$",
|
|
@@ -6685,11 +6685,11 @@
|
|
| 6685 |
"right_msg": "",
|
| 6686 |
"wrong_msg": "",
|
| 6687 |
"card": "0",
|
| 6688 |
-
"flow": "flow-
|
| 6689 |
"step": "step-5"
|
| 6690 |
}
|
| 6691 |
],
|
| 6692 |
-
"gate_from": "flow-
|
| 6693 |
},
|
| 6694 |
{
|
| 6695 |
"id": "step-6",
|
|
@@ -6699,7 +6699,7 @@
|
|
| 6699 |
{
|
| 6700 |
"type": "quiz",
|
| 6701 |
"qtype": "fill",
|
| 6702 |
-
"id": "flow-
|
| 6703 |
"prompt_runs": [
|
| 6704 |
{
|
| 6705 |
"latex": "$$\nf_{xy}=\\frac{\\partial}{\\partial y}(2x)=?\n$$",
|
|
@@ -6720,11 +6720,11 @@
|
|
| 6720 |
"right_msg": "",
|
| 6721 |
"wrong_msg": "",
|
| 6722 |
"card": "0",
|
| 6723 |
-
"flow": "flow-
|
| 6724 |
"step": "step-6"
|
| 6725 |
}
|
| 6726 |
],
|
| 6727 |
-
"gate_from": "flow-
|
| 6728 |
},
|
| 6729 |
{
|
| 6730 |
"id": "step-7",
|
|
@@ -6754,7 +6754,7 @@
|
|
| 6754 |
{
|
| 6755 |
"type": "quiz",
|
| 6756 |
"qtype": "fill",
|
| 6757 |
-
"id": "flow-
|
| 6758 |
"prompt_runs": [
|
| 6759 |
{
|
| 6760 |
"text": "因此"
|
|
@@ -6778,11 +6778,11 @@
|
|
| 6778 |
"right_msg": "",
|
| 6779 |
"wrong_msg": "",
|
| 6780 |
"card": "0",
|
| 6781 |
-
"flow": "flow-
|
| 6782 |
"step": "step-7"
|
| 6783 |
}
|
| 6784 |
],
|
| 6785 |
-
"gate_from": "flow-
|
| 6786 |
},
|
| 6787 |
{
|
| 6788 |
"id": "step-8",
|
|
@@ -6792,7 +6792,7 @@
|
|
| 6792 |
{
|
| 6793 |
"type": "quiz",
|
| 6794 |
"qtype": "choice",
|
| 6795 |
-
"id": "flow-
|
| 6796 |
"prompt_runs": [
|
| 6797 |
{
|
| 6798 |
"text": "因為"
|
|
@@ -6837,11 +6837,11 @@
|
|
| 6837 |
"wrong_hints": {},
|
| 6838 |
"card": "0",
|
| 6839 |
"answer": "c",
|
| 6840 |
-
"flow": "flow-
|
| 6841 |
"step": "step-8"
|
| 6842 |
}
|
| 6843 |
],
|
| 6844 |
-
"gate_from": "flow-
|
| 6845 |
},
|
| 6846 |
{
|
| 6847 |
"id": "step-9",
|
|
@@ -6880,7 +6880,7 @@
|
|
| 6880 |
]
|
| 6881 |
}
|
| 6882 |
],
|
| 6883 |
-
"gate_from": "flow-
|
| 6884 |
}
|
| 6885 |
]
|
| 6886 |
}
|
|
@@ -8087,7 +8087,7 @@
|
|
| 8087 |
"body": [
|
| 8088 |
{
|
| 8089 |
"type": "flow",
|
| 8090 |
-
"id": "flow-
|
| 8091 |
"persist": "",
|
| 8092 |
"steps": [
|
| 8093 |
{
|
|
@@ -8142,7 +8142,7 @@
|
|
| 8142 |
{
|
| 8143 |
"type": "quiz",
|
| 8144 |
"qtype": "choice",
|
| 8145 |
-
"id": "flow-
|
| 8146 |
"prompt_runs": [
|
| 8147 |
{
|
| 8148 |
"text": "此點是否在 "
|
|
@@ -8187,7 +8187,7 @@
|
|
| 8187 |
"wrong_hints": {},
|
| 8188 |
"card": "0",
|
| 8189 |
"answer": "c",
|
| 8190 |
-
"flow": "flow-
|
| 8191 |
"step": "step-1"
|
| 8192 |
}
|
| 8193 |
],
|
|
@@ -8238,7 +8238,7 @@
|
|
| 8238 |
{
|
| 8239 |
"type": "quiz",
|
| 8240 |
"qtype": "fill",
|
| 8241 |
-
"id": "flow-
|
| 8242 |
"prompt_runs": [
|
| 8243 |
{
|
| 8244 |
"text": "此邊界上的最大值："
|
|
@@ -8258,11 +8258,11 @@
|
|
| 8258 |
"right_msg": "",
|
| 8259 |
"wrong_msg": "",
|
| 8260 |
"card": "0",
|
| 8261 |
-
"flow": "flow-
|
| 8262 |
"step": "step-2"
|
| 8263 |
}
|
| 8264 |
],
|
| 8265 |
-
"gate_from": "flow-
|
| 8266 |
},
|
| 8267 |
{
|
| 8268 |
"id": "step-3",
|
|
@@ -8302,7 +8302,7 @@
|
|
| 8302 |
{
|
| 8303 |
"type": "quiz",
|
| 8304 |
"qtype": "fill",
|
| 8305 |
-
"id": "flow-
|
| 8306 |
"prompt_runs": [
|
| 8307 |
{
|
| 8308 |
"text": "此邊界上的最小值："
|
|
@@ -8322,11 +8322,11 @@
|
|
| 8322 |
"right_msg": "",
|
| 8323 |
"wrong_msg": "",
|
| 8324 |
"card": "0",
|
| 8325 |
-
"flow": "flow-
|
| 8326 |
"step": "step-3"
|
| 8327 |
}
|
| 8328 |
],
|
| 8329 |
-
"gate_from": "flow-
|
| 8330 |
},
|
| 8331 |
{
|
| 8332 |
"id": "step-4",
|
|
@@ -8336,7 +8336,7 @@
|
|
| 8336 |
{
|
| 8337 |
"type": "quiz",
|
| 8338 |
"qtype": "fill",
|
| 8339 |
-
"id": "flow-
|
| 8340 |
"prompt_runs": [
|
| 8341 |
{
|
| 8342 |
"text": "邊界 "
|
|
@@ -8377,11 +8377,11 @@
|
|
| 8377 |
"right_msg": "",
|
| 8378 |
"wrong_msg": "",
|
| 8379 |
"card": "0",
|
| 8380 |
-
"flow": "flow-
|
| 8381 |
"step": "step-4"
|
| 8382 |
}
|
| 8383 |
],
|
| 8384 |
-
"gate_from": "flow-
|
| 8385 |
},
|
| 8386 |
{
|
| 8387 |
"id": "step-5",
|
|
@@ -8414,7 +8414,7 @@
|
|
| 8414 |
{
|
| 8415 |
"type": "quiz",
|
| 8416 |
"qtype": "fill",
|
| 8417 |
-
"id": "flow-
|
| 8418 |
"prompt_runs": [
|
| 8419 |
{
|
| 8420 |
"text": "絕對最大值："
|
|
@@ -8434,7 +8434,7 @@
|
|
| 8434 |
"right_msg": "",
|
| 8435 |
"wrong_msg": "",
|
| 8436 |
"card": "0",
|
| 8437 |
-
"flow": "flow-
|
| 8438 |
"step": "step-5"
|
| 8439 |
},
|
| 8440 |
{
|
|
@@ -8446,7 +8446,7 @@
|
|
| 8446 |
{
|
| 8447 |
"type": "quiz",
|
| 8448 |
"qtype": "fill",
|
| 8449 |
-
"id": "flow-
|
| 8450 |
"prompt_runs": [
|
| 8451 |
{
|
| 8452 |
"text": "絕對最小值："
|
|
@@ -8466,7 +8466,7 @@
|
|
| 8466 |
"right_msg": "",
|
| 8467 |
"wrong_msg": "",
|
| 8468 |
"card": "0",
|
| 8469 |
-
"flow": "flow-
|
| 8470 |
"step": "step-5"
|
| 8471 |
},
|
| 8472 |
{
|
|
@@ -8531,7 +8531,7 @@
|
|
| 8531 |
]
|
| 8532 |
}
|
| 8533 |
],
|
| 8534 |
-
"gate_from": "flow-
|
| 8535 |
}
|
| 8536 |
]
|
| 8537 |
}
|
|
@@ -8971,7 +8971,7 @@
|
|
| 8971 |
},
|
| 8972 |
{
|
| 8973 |
"type": "flow",
|
| 8974 |
-
"id": "flow-
|
| 8975 |
"persist": "",
|
| 8976 |
"steps": [
|
| 8977 |
{
|
|
@@ -8982,7 +8982,7 @@
|
|
| 8982 |
{
|
| 8983 |
"type": "quiz",
|
| 8984 |
"qtype": "choice",
|
| 8985 |
-
"id": "flow-
|
| 8986 |
"prompt_runs": [
|
| 8987 |
{
|
| 8988 |
"text": "「函數 "
|
|
@@ -9033,7 +9033,7 @@
|
|
| 9033 |
"wrong_hints": {},
|
| 9034 |
"card": "0",
|
| 9035 |
"answer": "b",
|
| 9036 |
-
"flow": "flow-
|
| 9037 |
"step": "step-1"
|
| 9038 |
}
|
| 9039 |
],
|
|
@@ -9076,7 +9076,7 @@
|
|
| 9076 |
]
|
| 9077 |
}
|
| 9078 |
],
|
| 9079 |
-
"gate_from": "flow-
|
| 9080 |
}
|
| 9081 |
]
|
| 9082 |
},
|
|
@@ -9721,7 +9721,7 @@
|
|
| 9721 |
"body": [
|
| 9722 |
{
|
| 9723 |
"type": "flow",
|
| 9724 |
-
"id": "flow-
|
| 9725 |
"persist": "",
|
| 9726 |
"steps": [
|
| 9727 |
{
|
|
@@ -9732,7 +9732,7 @@
|
|
| 9732 |
{
|
| 9733 |
"type": "quiz",
|
| 9734 |
"qtype": "choice",
|
| 9735 |
-
"id": "flow-
|
| 9736 |
"prompt_runs": [
|
| 9737 |
{
|
| 9738 |
"text": "找臨界點的第一步是？"
|
|
@@ -9763,7 +9763,7 @@
|
|
| 9763 |
"wrong_hints": {},
|
| 9764 |
"card": "0",
|
| 9765 |
"answer": "c",
|
| 9766 |
-
"flow": "flow-
|
| 9767 |
"step": "step-1"
|
| 9768 |
}
|
| 9769 |
],
|
|
@@ -9777,7 +9777,7 @@
|
|
| 9777 |
{
|
| 9778 |
"type": "quiz",
|
| 9779 |
"qtype": "fill",
|
| 9780 |
-
"id": "flow-
|
| 9781 |
"prompt_runs": [
|
| 9782 |
{
|
| 9783 |
"latex": "$f_x = ?$",
|
|
@@ -9798,11 +9798,11 @@
|
|
| 9798 |
"right_msg": "",
|
| 9799 |
"wrong_msg": "",
|
| 9800 |
"card": "0",
|
| 9801 |
-
"flow": "flow-
|
| 9802 |
"step": "step-2"
|
| 9803 |
}
|
| 9804 |
],
|
| 9805 |
-
"gate_from": "flow-
|
| 9806 |
},
|
| 9807 |
{
|
| 9808 |
"id": "step-3",
|
|
@@ -9812,7 +9812,7 @@
|
|
| 9812 |
{
|
| 9813 |
"type": "quiz",
|
| 9814 |
"qtype": "fill",
|
| 9815 |
-
"id": "flow-
|
| 9816 |
"prompt_runs": [
|
| 9817 |
{
|
| 9818 |
"latex": "$f_y = ?$",
|
|
@@ -9833,11 +9833,11 @@
|
|
| 9833 |
"right_msg": "",
|
| 9834 |
"wrong_msg": "",
|
| 9835 |
"card": "0",
|
| 9836 |
-
"flow": "flow-
|
| 9837 |
"step": "step-3"
|
| 9838 |
}
|
| 9839 |
],
|
| 9840 |
-
"gate_from": "flow-
|
| 9841 |
},
|
| 9842 |
{
|
| 9843 |
"id": "step-4",
|
|
@@ -9847,7 +9847,7 @@
|
|
| 9847 |
{
|
| 9848 |
"type": "quiz",
|
| 9849 |
"qtype": "choice",
|
| 9850 |
-
"id": "flow-
|
| 9851 |
"prompt_runs": [
|
| 9852 |
{
|
| 9853 |
"text": "令 "
|
|
@@ -9885,11 +9885,11 @@
|
|
| 9885 |
"wrong_hints": {},
|
| 9886 |
"card": "0",
|
| 9887 |
"answer": "a",
|
| 9888 |
-
"flow": "flow-
|
| 9889 |
"step": "step-4"
|
| 9890 |
}
|
| 9891 |
],
|
| 9892 |
-
"gate_from": "flow-
|
| 9893 |
}
|
| 9894 |
]
|
| 9895 |
}
|
|
@@ -10055,7 +10055,7 @@
|
|
| 10055 |
"body": [
|
| 10056 |
{
|
| 10057 |
"type": "flow",
|
| 10058 |
-
"id": "flow-
|
| 10059 |
"persist": "",
|
| 10060 |
"steps": [
|
| 10061 |
{
|
|
@@ -10066,7 +10066,7 @@
|
|
| 10066 |
{
|
| 10067 |
"type": "quiz",
|
| 10068 |
"qtype": "choice",
|
| 10069 |
-
"id": "flow-
|
| 10070 |
"prompt_runs": [
|
| 10071 |
{
|
| 10072 |
"latex": "$D(1,2) = 16$",
|
|
@@ -10104,7 +10104,7 @@
|
|
| 10104 |
"wrong_hints": {},
|
| 10105 |
"card": "0",
|
| 10106 |
"answer": "b",
|
| 10107 |
-
"flow": "flow-
|
| 10108 |
"step": "step-1"
|
| 10109 |
}
|
| 10110 |
],
|
|
@@ -10118,7 +10118,7 @@
|
|
| 10118 |
{
|
| 10119 |
"type": "quiz",
|
| 10120 |
"qtype": "choice",
|
| 10121 |
-
"id": "flow-
|
| 10122 |
"prompt_runs": [
|
| 10123 |
{
|
| 10124 |
"latex": "$f_{xx}(1,2) = -3$",
|
|
@@ -10156,11 +10156,11 @@
|
|
| 10156 |
"wrong_hints": {},
|
| 10157 |
"card": "0",
|
| 10158 |
"answer": "a",
|
| 10159 |
-
"flow": "flow-
|
| 10160 |
"step": "step-2"
|
| 10161 |
}
|
| 10162 |
],
|
| 10163 |
-
"gate_from": "flow-
|
| 10164 |
},
|
| 10165 |
{
|
| 10166 |
"id": "step-3",
|
|
@@ -10170,7 +10170,7 @@
|
|
| 10170 |
{
|
| 10171 |
"type": "quiz",
|
| 10172 |
"qtype": "choice",
|
| 10173 |
-
"id": "flow-
|
| 10174 |
"prompt_runs": [
|
| 10175 |
{
|
| 10176 |
"text": "根據二階導數判別法，結果是？"
|
|
@@ -10201,11 +10201,11 @@
|
|
| 10201 |
"wrong_hints": {},
|
| 10202 |
"card": "0",
|
| 10203 |
"answer": "a",
|
| 10204 |
-
"flow": "flow-
|
| 10205 |
"step": "step-3"
|
| 10206 |
}
|
| 10207 |
],
|
| 10208 |
-
"gate_from": "flow-
|
| 10209 |
}
|
| 10210 |
]
|
| 10211 |
}
|
|
@@ -10614,7 +10614,7 @@
|
|
| 10614 |
"body": [
|
| 10615 |
{
|
| 10616 |
"type": "flow",
|
| 10617 |
-
"id": "flow-
|
| 10618 |
"persist": "",
|
| 10619 |
"steps": [
|
| 10620 |
{
|
|
@@ -10625,7 +10625,7 @@
|
|
| 10625 |
{
|
| 10626 |
"type": "quiz",
|
| 10627 |
"qtype": "fill",
|
| 10628 |
-
"id": "flow-
|
| 10629 |
"prompt_runs": [
|
| 10630 |
{
|
| 10631 |
"text": "先計算一階偏導數("
|
|
@@ -10656,7 +10656,7 @@
|
|
| 10656 |
"right_msg": "",
|
| 10657 |
"wrong_msg": "",
|
| 10658 |
"card": "0",
|
| 10659 |
-
"flow": "flow-
|
| 10660 |
"step": "step-1"
|
| 10661 |
}
|
| 10662 |
],
|
|
@@ -10670,7 +10670,7 @@
|
|
| 10670 |
{
|
| 10671 |
"type": "quiz",
|
| 10672 |
"qtype": "fill",
|
| 10673 |
-
"id": "flow-
|
| 10674 |
"prompt_runs": [
|
| 10675 |
{
|
| 10676 |
"text": "再請問"
|
|
@@ -10694,11 +10694,11 @@
|
|
| 10694 |
"right_msg": "",
|
| 10695 |
"wrong_msg": "",
|
| 10696 |
"card": "0",
|
| 10697 |
-
"flow": "flow-
|
| 10698 |
"step": "step-2"
|
| 10699 |
}
|
| 10700 |
],
|
| 10701 |
-
"gate_from": "flow-
|
| 10702 |
},
|
| 10703 |
{
|
| 10704 |
"id": "step-3",
|
|
@@ -10735,7 +10735,7 @@
|
|
| 10735 |
{
|
| 10736 |
"type": "quiz",
|
| 10737 |
"qtype": "choice",
|
| 10738 |
-
"id": "flow-
|
| 10739 |
"prompt_runs": [
|
| 10740 |
{
|
| 10741 |
"text": "所以 "
|
|
@@ -10765,11 +10765,11 @@
|
|
| 10765 |
"wrong_hints": {},
|
| 10766 |
"card": "0",
|
| 10767 |
"answer": "a",
|
| 10768 |
-
"flow": "flow-
|
| 10769 |
"step": "step-3"
|
| 10770 |
}
|
| 10771 |
],
|
| 10772 |
-
"gate_from": "flow-
|
| 10773 |
},
|
| 10774 |
{
|
| 10775 |
"id": "step-4",
|
|
@@ -10802,7 +10802,7 @@
|
|
| 10802 |
{
|
| 10803 |
"type": "quiz",
|
| 10804 |
"qtype": "fill",
|
| 10805 |
-
"id": "flow-
|
| 10806 |
"prompt_runs": [
|
| 10807 |
{
|
| 10808 |
"latex": "$$\nf_{xx}=\\frac{\\partial}{\\partial x}(2x)=?\n$$",
|
|
@@ -10823,11 +10823,11 @@
|
|
| 10823 |
"right_msg": "",
|
| 10824 |
"wrong_msg": "",
|
| 10825 |
"card": "0",
|
| 10826 |
-
"flow": "flow-
|
| 10827 |
"step": "step-4"
|
| 10828 |
}
|
| 10829 |
],
|
| 10830 |
-
"gate_from": "flow-
|
| 10831 |
},
|
| 10832 |
{
|
| 10833 |
"id": "step-5",
|
|
@@ -10837,7 +10837,7 @@
|
|
| 10837 |
{
|
| 10838 |
"type": "quiz",
|
| 10839 |
"qtype": "fill",
|
| 10840 |
-
"id": "flow-
|
| 10841 |
"prompt_runs": [
|
| 10842 |
{
|
| 10843 |
"latex": "$$\nf_{yy}=\\frac{\\partial}{\\partial y}(-2y)=?\n$$",
|
|
@@ -10858,11 +10858,11 @@
|
|
| 10858 |
"right_msg": "",
|
| 10859 |
"wrong_msg": "",
|
| 10860 |
"card": "0",
|
| 10861 |
-
"flow": "flow-
|
| 10862 |
"step": "step-5"
|
| 10863 |
}
|
| 10864 |
],
|
| 10865 |
-
"gate_from": "flow-
|
| 10866 |
},
|
| 10867 |
{
|
| 10868 |
"id": "step-6",
|
|
@@ -10872,7 +10872,7 @@
|
|
| 10872 |
{
|
| 10873 |
"type": "quiz",
|
| 10874 |
"qtype": "fill",
|
| 10875 |
-
"id": "flow-
|
| 10876 |
"prompt_runs": [
|
| 10877 |
{
|
| 10878 |
"latex": "$$\nf_{xy}=\\frac{\\partial}{\\partial y}(2x)=?\n$$",
|
|
@@ -10893,11 +10893,11 @@
|
|
| 10893 |
"right_msg": "",
|
| 10894 |
"wrong_msg": "",
|
| 10895 |
"card": "0",
|
| 10896 |
-
"flow": "flow-
|
| 10897 |
"step": "step-6"
|
| 10898 |
}
|
| 10899 |
],
|
| 10900 |
-
"gate_from": "flow-
|
| 10901 |
},
|
| 10902 |
{
|
| 10903 |
"id": "step-7",
|
|
@@ -10927,7 +10927,7 @@
|
|
| 10927 |
{
|
| 10928 |
"type": "quiz",
|
| 10929 |
"qtype": "fill",
|
| 10930 |
-
"id": "flow-
|
| 10931 |
"prompt_runs": [
|
| 10932 |
{
|
| 10933 |
"text": "因此"
|
|
@@ -10951,11 +10951,11 @@
|
|
| 10951 |
"right_msg": "",
|
| 10952 |
"wrong_msg": "",
|
| 10953 |
"card": "0",
|
| 10954 |
-
"flow": "flow-
|
| 10955 |
"step": "step-7"
|
| 10956 |
}
|
| 10957 |
],
|
| 10958 |
-
"gate_from": "flow-
|
| 10959 |
},
|
| 10960 |
{
|
| 10961 |
"id": "step-8",
|
|
@@ -10965,7 +10965,7 @@
|
|
| 10965 |
{
|
| 10966 |
"type": "quiz",
|
| 10967 |
"qtype": "choice",
|
| 10968 |
-
"id": "flow-
|
| 10969 |
"prompt_runs": [
|
| 10970 |
{
|
| 10971 |
"text": "因為"
|
|
@@ -11010,11 +11010,11 @@
|
|
| 11010 |
"wrong_hints": {},
|
| 11011 |
"card": "0",
|
| 11012 |
"answer": "c",
|
| 11013 |
-
"flow": "flow-
|
| 11014 |
"step": "step-8"
|
| 11015 |
}
|
| 11016 |
],
|
| 11017 |
-
"gate_from": "flow-
|
| 11018 |
},
|
| 11019 |
{
|
| 11020 |
"id": "step-9",
|
|
@@ -11053,7 +11053,7 @@
|
|
| 11053 |
]
|
| 11054 |
}
|
| 11055 |
],
|
| 11056 |
-
"gate_from": "flow-
|
| 11057 |
}
|
| 11058 |
]
|
| 11059 |
}
|
|
@@ -12266,7 +12266,7 @@
|
|
| 12266 |
"body": [
|
| 12267 |
{
|
| 12268 |
"type": "flow",
|
| 12269 |
-
"id": "flow-
|
| 12270 |
"persist": "",
|
| 12271 |
"steps": [
|
| 12272 |
{
|
|
@@ -12321,7 +12321,7 @@
|
|
| 12321 |
{
|
| 12322 |
"type": "quiz",
|
| 12323 |
"qtype": "choice",
|
| 12324 |
-
"id": "flow-
|
| 12325 |
"prompt_runs": [
|
| 12326 |
{
|
| 12327 |
"text": "此點是否在 "
|
|
@@ -12366,7 +12366,7 @@
|
|
| 12366 |
"wrong_hints": {},
|
| 12367 |
"card": "0",
|
| 12368 |
"answer": "c",
|
| 12369 |
-
"flow": "flow-
|
| 12370 |
"step": "step-1"
|
| 12371 |
}
|
| 12372 |
],
|
|
@@ -12417,7 +12417,7 @@
|
|
| 12417 |
{
|
| 12418 |
"type": "quiz",
|
| 12419 |
"qtype": "fill",
|
| 12420 |
-
"id": "flow-
|
| 12421 |
"prompt_runs": [
|
| 12422 |
{
|
| 12423 |
"text": "此邊界上的最大值："
|
|
@@ -12437,11 +12437,11 @@
|
|
| 12437 |
"right_msg": "",
|
| 12438 |
"wrong_msg": "",
|
| 12439 |
"card": "0",
|
| 12440 |
-
"flow": "flow-
|
| 12441 |
"step": "step-2"
|
| 12442 |
}
|
| 12443 |
],
|
| 12444 |
-
"gate_from": "flow-
|
| 12445 |
},
|
| 12446 |
{
|
| 12447 |
"id": "step-3",
|
|
@@ -12481,7 +12481,7 @@
|
|
| 12481 |
{
|
| 12482 |
"type": "quiz",
|
| 12483 |
"qtype": "fill",
|
| 12484 |
-
"id": "flow-
|
| 12485 |
"prompt_runs": [
|
| 12486 |
{
|
| 12487 |
"text": "此邊界上的最小值："
|
|
@@ -12501,11 +12501,11 @@
|
|
| 12501 |
"right_msg": "",
|
| 12502 |
"wrong_msg": "",
|
| 12503 |
"card": "0",
|
| 12504 |
-
"flow": "flow-
|
| 12505 |
"step": "step-3"
|
| 12506 |
}
|
| 12507 |
],
|
| 12508 |
-
"gate_from": "flow-
|
| 12509 |
},
|
| 12510 |
{
|
| 12511 |
"id": "step-4",
|
|
@@ -12515,7 +12515,7 @@
|
|
| 12515 |
{
|
| 12516 |
"type": "quiz",
|
| 12517 |
"qtype": "fill",
|
| 12518 |
-
"id": "flow-
|
| 12519 |
"prompt_runs": [
|
| 12520 |
{
|
| 12521 |
"text": "邊界 "
|
|
@@ -12556,11 +12556,11 @@
|
|
| 12556 |
"right_msg": "",
|
| 12557 |
"wrong_msg": "",
|
| 12558 |
"card": "0",
|
| 12559 |
-
"flow": "flow-
|
| 12560 |
"step": "step-4"
|
| 12561 |
}
|
| 12562 |
],
|
| 12563 |
-
"gate_from": "flow-
|
| 12564 |
},
|
| 12565 |
{
|
| 12566 |
"id": "step-5",
|
|
@@ -12593,7 +12593,7 @@
|
|
| 12593 |
{
|
| 12594 |
"type": "quiz",
|
| 12595 |
"qtype": "fill",
|
| 12596 |
-
"id": "flow-
|
| 12597 |
"prompt_runs": [
|
| 12598 |
{
|
| 12599 |
"text": "絕對最大值："
|
|
@@ -12613,7 +12613,7 @@
|
|
| 12613 |
"right_msg": "",
|
| 12614 |
"wrong_msg": "",
|
| 12615 |
"card": "0",
|
| 12616 |
-
"flow": "flow-
|
| 12617 |
"step": "step-5"
|
| 12618 |
},
|
| 12619 |
{
|
|
@@ -12625,7 +12625,7 @@
|
|
| 12625 |
{
|
| 12626 |
"type": "quiz",
|
| 12627 |
"qtype": "fill",
|
| 12628 |
-
"id": "flow-
|
| 12629 |
"prompt_runs": [
|
| 12630 |
{
|
| 12631 |
"text": "絕對最小值："
|
|
@@ -12645,7 +12645,7 @@
|
|
| 12645 |
"right_msg": "",
|
| 12646 |
"wrong_msg": "",
|
| 12647 |
"card": "0",
|
| 12648 |
-
"flow": "flow-
|
| 12649 |
"step": "step-5"
|
| 12650 |
},
|
| 12651 |
{
|
|
@@ -12710,7 +12710,7 @@
|
|
| 12710 |
]
|
| 12711 |
}
|
| 12712 |
],
|
| 12713 |
-
"gate_from": "flow-
|
| 12714 |
}
|
| 12715 |
]
|
| 12716 |
}
|
|
|
|
| 567 |
},
|
| 568 |
{
|
| 569 |
"type": "flow",
|
| 570 |
+
"id": "flow-29",
|
| 571 |
"persist": "",
|
| 572 |
"steps": [
|
| 573 |
{
|
|
|
|
| 578 |
{
|
| 579 |
"type": "quiz",
|
| 580 |
"qtype": "choice",
|
| 581 |
+
"id": "flow-29::step-1::q1",
|
| 582 |
"prompt_runs": [
|
| 583 |
{
|
| 584 |
"text": "「函數 "
|
|
|
|
| 629 |
"wrong_hints": {},
|
| 630 |
"card": "0",
|
| 631 |
"answer": "b",
|
| 632 |
+
"flow": "flow-29",
|
| 633 |
"step": "step-1"
|
| 634 |
}
|
| 635 |
],
|
|
|
|
| 672 |
]
|
| 673 |
}
|
| 674 |
],
|
| 675 |
+
"gate_from": "flow-29::step-1::q1"
|
| 676 |
}
|
| 677 |
]
|
| 678 |
},
|
|
|
|
| 1305 |
"body": [
|
| 1306 |
{
|
| 1307 |
"type": "flow",
|
| 1308 |
+
"id": "flow-30",
|
| 1309 |
"persist": "",
|
| 1310 |
"steps": [
|
| 1311 |
{
|
|
|
|
| 1316 |
{
|
| 1317 |
"type": "quiz",
|
| 1318 |
"qtype": "choice",
|
| 1319 |
+
"id": "flow-30::step-1::q1",
|
| 1320 |
"prompt_runs": [
|
| 1321 |
{
|
| 1322 |
"text": "找臨界點的第一步是？"
|
|
|
|
| 1347 |
"wrong_hints": {},
|
| 1348 |
"card": "0",
|
| 1349 |
"answer": "c",
|
| 1350 |
+
"flow": "flow-30",
|
| 1351 |
"step": "step-1"
|
| 1352 |
}
|
| 1353 |
],
|
|
|
|
| 1361 |
{
|
| 1362 |
"type": "quiz",
|
| 1363 |
"qtype": "fill",
|
| 1364 |
+
"id": "flow-30::step-2::q2",
|
| 1365 |
"prompt_runs": [
|
| 1366 |
{
|
| 1367 |
"latex": "$f_x = ?$",
|
|
|
|
| 1382 |
"right_msg": "",
|
| 1383 |
"wrong_msg": "",
|
| 1384 |
"card": "0",
|
| 1385 |
+
"flow": "flow-30",
|
| 1386 |
"step": "step-2"
|
| 1387 |
}
|
| 1388 |
],
|
| 1389 |
+
"gate_from": "flow-30::step-1::q1"
|
| 1390 |
},
|
| 1391 |
{
|
| 1392 |
"id": "step-3",
|
|
|
|
| 1396 |
{
|
| 1397 |
"type": "quiz",
|
| 1398 |
"qtype": "fill",
|
| 1399 |
+
"id": "flow-30::step-3::q3",
|
| 1400 |
"prompt_runs": [
|
| 1401 |
{
|
| 1402 |
"latex": "$f_y = ?$",
|
|
|
|
| 1417 |
"right_msg": "",
|
| 1418 |
"wrong_msg": "",
|
| 1419 |
"card": "0",
|
| 1420 |
+
"flow": "flow-30",
|
| 1421 |
"step": "step-3"
|
| 1422 |
}
|
| 1423 |
],
|
| 1424 |
+
"gate_from": "flow-30::step-2::q2"
|
| 1425 |
},
|
| 1426 |
{
|
| 1427 |
"id": "step-4",
|
|
|
|
| 1431 |
{
|
| 1432 |
"type": "quiz",
|
| 1433 |
"qtype": "choice",
|
| 1434 |
+
"id": "flow-30::step-4::q4",
|
| 1435 |
"prompt_runs": [
|
| 1436 |
{
|
| 1437 |
"text": "令 "
|
|
|
|
| 1469 |
"wrong_hints": {},
|
| 1470 |
"card": "0",
|
| 1471 |
"answer": "a",
|
| 1472 |
+
"flow": "flow-30",
|
| 1473 |
"step": "step-4"
|
| 1474 |
}
|
| 1475 |
],
|
| 1476 |
+
"gate_from": "flow-30::step-3::q3"
|
| 1477 |
}
|
| 1478 |
]
|
| 1479 |
}
|
|
|
|
| 1639 |
"body": [
|
| 1640 |
{
|
| 1641 |
"type": "flow",
|
| 1642 |
+
"id": "flow-31",
|
| 1643 |
"persist": "",
|
| 1644 |
"steps": [
|
| 1645 |
{
|
|
|
|
| 1650 |
{
|
| 1651 |
"type": "quiz",
|
| 1652 |
"qtype": "choice",
|
| 1653 |
+
"id": "flow-31::step-1::q1",
|
| 1654 |
"prompt_runs": [
|
| 1655 |
{
|
| 1656 |
"latex": "$D(1,2) = 16$",
|
|
|
|
| 1688 |
"wrong_hints": {},
|
| 1689 |
"card": "0",
|
| 1690 |
"answer": "b",
|
| 1691 |
+
"flow": "flow-31",
|
| 1692 |
"step": "step-1"
|
| 1693 |
}
|
| 1694 |
],
|
|
|
|
| 1702 |
{
|
| 1703 |
"type": "quiz",
|
| 1704 |
"qtype": "choice",
|
| 1705 |
+
"id": "flow-31::step-2::q2",
|
| 1706 |
"prompt_runs": [
|
| 1707 |
{
|
| 1708 |
"latex": "$f_{xx}(1,2) = -3$",
|
|
|
|
| 1740 |
"wrong_hints": {},
|
| 1741 |
"card": "0",
|
| 1742 |
"answer": "a",
|
| 1743 |
+
"flow": "flow-31",
|
| 1744 |
"step": "step-2"
|
| 1745 |
}
|
| 1746 |
],
|
| 1747 |
+
"gate_from": "flow-31::step-1::q1"
|
| 1748 |
},
|
| 1749 |
{
|
| 1750 |
"id": "step-3",
|
|
|
|
| 1754 |
{
|
| 1755 |
"type": "quiz",
|
| 1756 |
"qtype": "choice",
|
| 1757 |
+
"id": "flow-31::step-3::q3",
|
| 1758 |
"prompt_runs": [
|
| 1759 |
{
|
| 1760 |
"text": "根據二階導數判別法，結果是？"
|
|
|
|
| 1785 |
"wrong_hints": {},
|
| 1786 |
"card": "0",
|
| 1787 |
"answer": "a",
|
| 1788 |
+
"flow": "flow-31",
|
| 1789 |
"step": "step-3"
|
| 1790 |
}
|
| 1791 |
],
|
| 1792 |
+
"gate_from": "flow-31::step-2::q2"
|
| 1793 |
}
|
| 1794 |
]
|
| 1795 |
}
|
|
|
|
| 2198 |
"body": [
|
| 2199 |
{
|
| 2200 |
"type": "flow",
|
| 2201 |
+
"id": "flow-32",
|
| 2202 |
"persist": "",
|
| 2203 |
"steps": [
|
| 2204 |
{
|
|
|
|
| 2209 |
{
|
| 2210 |
"type": "quiz",
|
| 2211 |
"qtype": "fill",
|
| 2212 |
+
"id": "flow-32::step-1::q1",
|
| 2213 |
"prompt_runs": [
|
| 2214 |
{
|
| 2215 |
"text": "先計算一階偏導數("
|
|
|
|
| 2240 |
"right_msg": "",
|
| 2241 |
"wrong_msg": "",
|
| 2242 |
"card": "0",
|
| 2243 |
+
"flow": "flow-32",
|
| 2244 |
"step": "step-1"
|
| 2245 |
}
|
| 2246 |
],
|
|
|
|
| 2254 |
{
|
| 2255 |
"type": "quiz",
|
| 2256 |
"qtype": "fill",
|
| 2257 |
+
"id": "flow-32::step-2::q2",
|
| 2258 |
"prompt_runs": [
|
| 2259 |
{
|
| 2260 |
"text": "再請問"
|
|
|
|
| 2278 |
"right_msg": "",
|
| 2279 |
"wrong_msg": "",
|
| 2280 |
"card": "0",
|
| 2281 |
+
"flow": "flow-32",
|
| 2282 |
"step": "step-2"
|
| 2283 |
}
|
| 2284 |
],
|
| 2285 |
+
"gate_from": "flow-32::step-1::q1"
|
| 2286 |
},
|
| 2287 |
{
|
| 2288 |
"id": "step-3",
|
|
|
|
| 2319 |
{
|
| 2320 |
"type": "quiz",
|
| 2321 |
"qtype": "choice",
|
| 2322 |
+
"id": "flow-32::step-3::q3",
|
| 2323 |
"prompt_runs": [
|
| 2324 |
{
|
| 2325 |
"text": "所以 "
|
|
|
|
| 2349 |
"wrong_hints": {},
|
| 2350 |
"card": "0",
|
| 2351 |
"answer": "a",
|
| 2352 |
+
"flow": "flow-32",
|
| 2353 |
"step": "step-3"
|
| 2354 |
}
|
| 2355 |
],
|
| 2356 |
+
"gate_from": "flow-32::step-2::q2"
|
| 2357 |
},
|
| 2358 |
{
|
| 2359 |
"id": "step-4",
|
|
|
|
| 2386 |
{
|
| 2387 |
"type": "quiz",
|
| 2388 |
"qtype": "fill",
|
| 2389 |
+
"id": "flow-32::step-4::q4",
|
| 2390 |
"prompt_runs": [
|
| 2391 |
{
|
| 2392 |
"latex": "$$\nf_{xx}=\\frac{\\partial}{\\partial x}(2x)=?\n$$",
|
|
|
|
| 2407 |
"right_msg": "",
|
| 2408 |
"wrong_msg": "",
|
| 2409 |
"card": "0",
|
| 2410 |
+
"flow": "flow-32",
|
| 2411 |
"step": "step-4"
|
| 2412 |
}
|
| 2413 |
],
|
| 2414 |
+
"gate_from": "flow-32::step-3::q3"
|
| 2415 |
},
|
| 2416 |
{
|
| 2417 |
"id": "step-5",
|
|
|
|
| 2421 |
{
|
| 2422 |
"type": "quiz",
|
| 2423 |
"qtype": "fill",
|
| 2424 |
+
"id": "flow-32::step-5::q5",
|
| 2425 |
"prompt_runs": [
|
| 2426 |
{
|
| 2427 |
"latex": "$$\nf_{yy}=\\frac{\\partial}{\\partial y}(-2y)=?\n$$",
|
|
|
|
| 2442 |
"right_msg": "",
|
| 2443 |
"wrong_msg": "",
|
| 2444 |
"card": "0",
|
| 2445 |
+
"flow": "flow-32",
|
| 2446 |
"step": "step-5"
|
| 2447 |
}
|
| 2448 |
],
|
| 2449 |
+
"gate_from": "flow-32::step-4::q4"
|
| 2450 |
},
|
| 2451 |
{
|
| 2452 |
"id": "step-6",
|
|
|
|
| 2456 |
{
|
| 2457 |
"type": "quiz",
|
| 2458 |
"qtype": "fill",
|
| 2459 |
+
"id": "flow-32::step-6::q6",
|
| 2460 |
"prompt_runs": [
|
| 2461 |
{
|
| 2462 |
"latex": "$$\nf_{xy}=\\frac{\\partial}{\\partial y}(2x)=?\n$$",
|
|
|
|
| 2477 |
"right_msg": "",
|
| 2478 |
"wrong_msg": "",
|
| 2479 |
"card": "0",
|
| 2480 |
+
"flow": "flow-32",
|
| 2481 |
"step": "step-6"
|
| 2482 |
}
|
| 2483 |
],
|
| 2484 |
+
"gate_from": "flow-32::step-5::q5"
|
| 2485 |
},
|
| 2486 |
{
|
| 2487 |
"id": "step-7",
|
|
|
|
| 2511 |
{
|
| 2512 |
"type": "quiz",
|
| 2513 |
"qtype": "fill",
|
| 2514 |
+
"id": "flow-32::step-7::q7",
|
| 2515 |
"prompt_runs": [
|
| 2516 |
{
|
| 2517 |
"text": "因此"
|
|
|
|
| 2535 |
"right_msg": "",
|
| 2536 |
"wrong_msg": "",
|
| 2537 |
"card": "0",
|
| 2538 |
+
"flow": "flow-32",
|
| 2539 |
"step": "step-7"
|
| 2540 |
}
|
| 2541 |
],
|
| 2542 |
+
"gate_from": "flow-32::step-6::q6"
|
| 2543 |
},
|
| 2544 |
{
|
| 2545 |
"id": "step-8",
|
|
|
|
| 2549 |
{
|
| 2550 |
"type": "quiz",
|
| 2551 |
"qtype": "choice",
|
| 2552 |
+
"id": "flow-32::step-8::q8",
|
| 2553 |
"prompt_runs": [
|
| 2554 |
{
|
| 2555 |
"text": "因為"
|
|
|
|
| 2594 |
"wrong_hints": {},
|
| 2595 |
"card": "0",
|
| 2596 |
"answer": "c",
|
| 2597 |
+
"flow": "flow-32",
|
| 2598 |
"step": "step-8"
|
| 2599 |
}
|
| 2600 |
],
|
| 2601 |
+
"gate_from": "flow-32::step-7::q7"
|
| 2602 |
},
|
| 2603 |
{
|
| 2604 |
"id": "step-9",
|
|
|
|
| 2637 |
]
|
| 2638 |
}
|
| 2639 |
],
|
| 2640 |
+
"gate_from": "flow-32::step-8::q8"
|
| 2641 |
}
|
| 2642 |
]
|
| 2643 |
}
|
|
|
|
| 3844 |
"body": [
|
| 3845 |
{
|
| 3846 |
"type": "flow",
|
| 3847 |
+
"id": "flow-33",
|
| 3848 |
"persist": "",
|
| 3849 |
"steps": [
|
| 3850 |
{
|
|
|
|
| 3899 |
{
|
| 3900 |
"type": "quiz",
|
| 3901 |
"qtype": "choice",
|
| 3902 |
+
"id": "flow-33::step-1::q1",
|
| 3903 |
"prompt_runs": [
|
| 3904 |
{
|
| 3905 |
"text": "此點是否在 "
|
|
|
|
| 3944 |
"wrong_hints": {},
|
| 3945 |
"card": "0",
|
| 3946 |
"answer": "c",
|
| 3947 |
+
"flow": "flow-33",
|
| 3948 |
"step": "step-1"
|
| 3949 |
}
|
| 3950 |
],
|
|
|
|
| 3995 |
{
|
| 3996 |
"type": "quiz",
|
| 3997 |
"qtype": "fill",
|
| 3998 |
+
"id": "flow-33::step-2::q2",
|
| 3999 |
"prompt_runs": [
|
| 4000 |
{
|
| 4001 |
"text": "此邊界上的最大值："
|
|
|
|
| 4015 |
"right_msg": "",
|
| 4016 |
"wrong_msg": "",
|
| 4017 |
"card": "0",
|
| 4018 |
+
"flow": "flow-33",
|
| 4019 |
"step": "step-2"
|
| 4020 |
}
|
| 4021 |
],
|
| 4022 |
+
"gate_from": "flow-33::step-1::q1"
|
| 4023 |
},
|
| 4024 |
{
|
| 4025 |
"id": "step-3",
|
|
|
|
| 4059 |
{
|
| 4060 |
"type": "quiz",
|
| 4061 |
"qtype": "fill",
|
| 4062 |
+
"id": "flow-33::step-3::q3",
|
| 4063 |
"prompt_runs": [
|
| 4064 |
{
|
| 4065 |
"text": "此邊界上的最小值："
|
|
|
|
| 4079 |
"right_msg": "",
|
| 4080 |
"wrong_msg": "",
|
| 4081 |
"card": "0",
|
| 4082 |
+
"flow": "flow-33",
|
| 4083 |
"step": "step-3"
|
| 4084 |
}
|
| 4085 |
],
|
| 4086 |
+
"gate_from": "flow-33::step-2::q2"
|
| 4087 |
},
|
| 4088 |
{
|
| 4089 |
"id": "step-4",
|
|
|
|
| 4093 |
{
|
| 4094 |
"type": "quiz",
|
| 4095 |
"qtype": "fill",
|
| 4096 |
+
"id": "flow-33::step-4::q4",
|
| 4097 |
"prompt_runs": [
|
| 4098 |
{
|
| 4099 |
"text": "邊界 "
|
|
|
|
| 4134 |
"right_msg": "",
|
| 4135 |
"wrong_msg": "",
|
| 4136 |
"card": "0",
|
| 4137 |
+
"flow": "flow-33",
|
| 4138 |
"step": "step-4"
|
| 4139 |
}
|
| 4140 |
],
|
| 4141 |
+
"gate_from": "flow-33::step-3::q3"
|
| 4142 |
},
|
| 4143 |
{
|
| 4144 |
"id": "step-5",
|
|
|
|
| 4171 |
{
|
| 4172 |
"type": "quiz",
|
| 4173 |
"qtype": "fill",
|
| 4174 |
+
"id": "flow-33::step-5::q5",
|
| 4175 |
"prompt_runs": [
|
| 4176 |
{
|
| 4177 |
"text": "絕對最大值："
|
|
|
|
| 4191 |
"right_msg": "",
|
| 4192 |
"wrong_msg": "",
|
| 4193 |
"card": "0",
|
| 4194 |
+
"flow": "flow-33",
|
| 4195 |
"step": "step-5"
|
| 4196 |
},
|
| 4197 |
{
|
|
|
|
| 4203 |
{
|
| 4204 |
"type": "quiz",
|
| 4205 |
"qtype": "fill",
|
| 4206 |
+
"id": "flow-33::step-5::q6",
|
| 4207 |
"prompt_runs": [
|
| 4208 |
{
|
| 4209 |
"text": "絕對最小值："
|
|
|
|
| 4223 |
"right_msg": "",
|
| 4224 |
"wrong_msg": "",
|
| 4225 |
"card": "0",
|
| 4226 |
+
"flow": "flow-33",
|
| 4227 |
"step": "step-5"
|
| 4228 |
},
|
| 4229 |
{
|
|
|
|
| 4288 |
]
|
| 4289 |
}
|
| 4290 |
],
|
| 4291 |
+
"gate_from": "flow-33::step-4::q4"
|
| 4292 |
}
|
| 4293 |
]
|
| 4294 |
}
|
|
|
|
| 4810 |
},
|
| 4811 |
{
|
| 4812 |
"type": "flow",
|
| 4813 |
+
"id": "flow-29",
|
| 4814 |
"persist": "",
|
| 4815 |
"steps": [
|
| 4816 |
{
|
|
|
|
| 4821 |
{
|
| 4822 |
"type": "quiz",
|
| 4823 |
"qtype": "choice",
|
| 4824 |
+
"id": "flow-29::step-1::q1",
|
| 4825 |
"prompt_runs": [
|
| 4826 |
{
|
| 4827 |
"text": "「函數 "
|
|
|
|
| 4872 |
"wrong_hints": {},
|
| 4873 |
"card": "0",
|
| 4874 |
"answer": "b",
|
| 4875 |
+
"flow": "flow-29",
|
| 4876 |
"step": "step-1"
|
| 4877 |
}
|
| 4878 |
],
|
|
|
|
| 4915 |
]
|
| 4916 |
}
|
| 4917 |
],
|
| 4918 |
+
"gate_from": "flow-29::step-1::q1"
|
| 4919 |
}
|
| 4920 |
]
|
| 4921 |
},
|
|
|
|
| 5548 |
"body": [
|
| 5549 |
{
|
| 5550 |
"type": "flow",
|
| 5551 |
+
"id": "flow-30",
|
| 5552 |
"persist": "",
|
| 5553 |
"steps": [
|
| 5554 |
{
|
|
|
|
| 5559 |
{
|
| 5560 |
"type": "quiz",
|
| 5561 |
"qtype": "choice",
|
| 5562 |
+
"id": "flow-30::step-1::q1",
|
| 5563 |
"prompt_runs": [
|
| 5564 |
{
|
| 5565 |
"text": "找臨界點的第一步是？"
|
|
|
|
| 5590 |
"wrong_hints": {},
|
| 5591 |
"card": "0",
|
| 5592 |
"answer": "c",
|
| 5593 |
+
"flow": "flow-30",
|
| 5594 |
"step": "step-1"
|
| 5595 |
}
|
| 5596 |
],
|
|
|
|
| 5604 |
{
|
| 5605 |
"type": "quiz",
|
| 5606 |
"qtype": "fill",
|
| 5607 |
+
"id": "flow-30::step-2::q2",
|
| 5608 |
"prompt_runs": [
|
| 5609 |
{
|
| 5610 |
"latex": "$f_x = ?$",
|
|
|
|
| 5625 |
"right_msg": "",
|
| 5626 |
"wrong_msg": "",
|
| 5627 |
"card": "0",
|
| 5628 |
+
"flow": "flow-30",
|
| 5629 |
"step": "step-2"
|
| 5630 |
}
|
| 5631 |
],
|
| 5632 |
+
"gate_from": "flow-30::step-1::q1"
|
| 5633 |
},
|
| 5634 |
{
|
| 5635 |
"id": "step-3",
|
|
|
|
| 5639 |
{
|
| 5640 |
"type": "quiz",
|
| 5641 |
"qtype": "fill",
|
| 5642 |
+
"id": "flow-30::step-3::q3",
|
| 5643 |
"prompt_runs": [
|
| 5644 |
{
|
| 5645 |
"latex": "$f_y = ?$",
|
|
|
|
| 5660 |
"right_msg": "",
|
| 5661 |
"wrong_msg": "",
|
| 5662 |
"card": "0",
|
| 5663 |
+
"flow": "flow-30",
|
| 5664 |
"step": "step-3"
|
| 5665 |
}
|
| 5666 |
],
|
| 5667 |
+
"gate_from": "flow-30::step-2::q2"
|
| 5668 |
},
|
| 5669 |
{
|
| 5670 |
"id": "step-4",
|
|
|
|
| 5674 |
{
|
| 5675 |
"type": "quiz",
|
| 5676 |
"qtype": "choice",
|
| 5677 |
+
"id": "flow-30::step-4::q4",
|
| 5678 |
"prompt_runs": [
|
| 5679 |
{
|
| 5680 |
"text": "令 "
|
|
|
|
| 5712 |
"wrong_hints": {},
|
| 5713 |
"card": "0",
|
| 5714 |
"answer": "a",
|
| 5715 |
+
"flow": "flow-30",
|
| 5716 |
"step": "step-4"
|
| 5717 |
}
|
| 5718 |
],
|
| 5719 |
+
"gate_from": "flow-30::step-3::q3"
|
| 5720 |
}
|
| 5721 |
]
|
| 5722 |
}
|
|
|
|
| 5882 |
"body": [
|
| 5883 |
{
|
| 5884 |
"type": "flow",
|
| 5885 |
+
"id": "flow-31",
|
| 5886 |
"persist": "",
|
| 5887 |
"steps": [
|
| 5888 |
{
|
|
|
|
| 5893 |
{
|
| 5894 |
"type": "quiz",
|
| 5895 |
"qtype": "choice",
|
| 5896 |
+
"id": "flow-31::step-1::q1",
|
| 5897 |
"prompt_runs": [
|
| 5898 |
{
|
| 5899 |
"latex": "$D(1,2) = 16$",
|
|
|
|
| 5931 |
"wrong_hints": {},
|
| 5932 |
"card": "0",
|
| 5933 |
"answer": "b",
|
| 5934 |
+
"flow": "flow-31",
|
| 5935 |
"step": "step-1"
|
| 5936 |
}
|
| 5937 |
],
|
|
|
|
| 5945 |
{
|
| 5946 |
"type": "quiz",
|
| 5947 |
"qtype": "choice",
|
| 5948 |
+
"id": "flow-31::step-2::q2",
|
| 5949 |
"prompt_runs": [
|
| 5950 |
{
|
| 5951 |
"latex": "$f_{xx}(1,2) = -3$",
|
|
|
|
| 5983 |
"wrong_hints": {},
|
| 5984 |
"card": "0",
|
| 5985 |
"answer": "a",
|
| 5986 |
+
"flow": "flow-31",
|
| 5987 |
"step": "step-2"
|
| 5988 |
}
|
| 5989 |
],
|
| 5990 |
+
"gate_from": "flow-31::step-1::q1"
|
| 5991 |
},
|
| 5992 |
{
|
| 5993 |
"id": "step-3",
|
|
|
|
| 5997 |
{
|
| 5998 |
"type": "quiz",
|
| 5999 |
"qtype": "choice",
|
| 6000 |
+
"id": "flow-31::step-3::q3",
|
| 6001 |
"prompt_runs": [
|
| 6002 |
{
|
| 6003 |
"text": "根據二階導數判別法，結果是？"
|
|
|
|
| 6028 |
"wrong_hints": {},
|
| 6029 |
"card": "0",
|
| 6030 |
"answer": "a",
|
| 6031 |
+
"flow": "flow-31",
|
| 6032 |
"step": "step-3"
|
| 6033 |
}
|
| 6034 |
],
|
| 6035 |
+
"gate_from": "flow-31::step-2::q2"
|
| 6036 |
}
|
| 6037 |
]
|
| 6038 |
}
|
|
|
|
| 6441 |
"body": [
|
| 6442 |
{
|
| 6443 |
"type": "flow",
|
| 6444 |
+
"id": "flow-32",
|
| 6445 |
"persist": "",
|
| 6446 |
"steps": [
|
| 6447 |
{
|
|
|
|
| 6452 |
{
|
| 6453 |
"type": "quiz",
|
| 6454 |
"qtype": "fill",
|
| 6455 |
+
"id": "flow-32::step-1::q1",
|
| 6456 |
"prompt_runs": [
|
| 6457 |
{
|
| 6458 |
"text": "先計算一階偏導數("
|
|
|
|
| 6483 |
"right_msg": "",
|
| 6484 |
"wrong_msg": "",
|
| 6485 |
"card": "0",
|
| 6486 |
+
"flow": "flow-32",
|
| 6487 |
"step": "step-1"
|
| 6488 |
}
|
| 6489 |
],
|
|
|
|
| 6497 |
{
|
| 6498 |
"type": "quiz",
|
| 6499 |
"qtype": "fill",
|
| 6500 |
+
"id": "flow-32::step-2::q2",
|
| 6501 |
"prompt_runs": [
|
| 6502 |
{
|
| 6503 |
"text": "再請問"
|
|
|
|
| 6521 |
"right_msg": "",
|
| 6522 |
"wrong_msg": "",
|
| 6523 |
"card": "0",
|
| 6524 |
+
"flow": "flow-32",
|
| 6525 |
"step": "step-2"
|
| 6526 |
}
|
| 6527 |
],
|
| 6528 |
+
"gate_from": "flow-32::step-1::q1"
|
| 6529 |
},
|
| 6530 |
{
|
| 6531 |
"id": "step-3",
|
|
|
|
| 6562 |
{
|
| 6563 |
"type": "quiz",
|
| 6564 |
"qtype": "choice",
|
| 6565 |
+
"id": "flow-32::step-3::q3",
|
| 6566 |
"prompt_runs": [
|
| 6567 |
{
|
| 6568 |
"text": "所以 "
|
|
|
|
| 6592 |
"wrong_hints": {},
|
| 6593 |
"card": "0",
|
| 6594 |
"answer": "a",
|
| 6595 |
+
"flow": "flow-32",
|
| 6596 |
"step": "step-3"
|
| 6597 |
}
|
| 6598 |
],
|
| 6599 |
+
"gate_from": "flow-32::step-2::q2"
|
| 6600 |
},
|
| 6601 |
{
|
| 6602 |
"id": "step-4",
|
|
|
|
| 6629 |
{
|
| 6630 |
"type": "quiz",
|
| 6631 |
"qtype": "fill",
|
| 6632 |
+
"id": "flow-32::step-4::q4",
|
| 6633 |
"prompt_runs": [
|
| 6634 |
{
|
| 6635 |
"latex": "$$\nf_{xx}=\\frac{\\partial}{\\partial x}(2x)=?\n$$",
|
|
|
|
| 6650 |
"right_msg": "",
|
| 6651 |
"wrong_msg": "",
|
| 6652 |
"card": "0",
|
| 6653 |
+
"flow": "flow-32",
|
| 6654 |
"step": "step-4"
|
| 6655 |
}
|
| 6656 |
],
|
| 6657 |
+
"gate_from": "flow-32::step-3::q3"
|
| 6658 |
},
|
| 6659 |
{
|
| 6660 |
"id": "step-5",
|
|
|
|
| 6664 |
{
|
| 6665 |
"type": "quiz",
|
| 6666 |
"qtype": "fill",
|
| 6667 |
+
"id": "flow-32::step-5::q5",
|
| 6668 |
"prompt_runs": [
|
| 6669 |
{
|
| 6670 |
"latex": "$$\nf_{yy}=\\frac{\\partial}{\\partial y}(-2y)=?\n$$",
|
|
|
|
| 6685 |
"right_msg": "",
|
| 6686 |
"wrong_msg": "",
|
| 6687 |
"card": "0",
|
| 6688 |
+
"flow": "flow-32",
|
| 6689 |
"step": "step-5"
|
| 6690 |
}
|
| 6691 |
],
|
| 6692 |
+
"gate_from": "flow-32::step-4::q4"
|
| 6693 |
},
|
| 6694 |
{
|
| 6695 |
"id": "step-6",
|
|
|
|
| 6699 |
{
|
| 6700 |
"type": "quiz",
|
| 6701 |
"qtype": "fill",
|
| 6702 |
+
"id": "flow-32::step-6::q6",
|
| 6703 |
"prompt_runs": [
|
| 6704 |
{
|
| 6705 |
"latex": "$$\nf_{xy}=\\frac{\\partial}{\\partial y}(2x)=?\n$$",
|
|
|
|
| 6720 |
"right_msg": "",
|
| 6721 |
"wrong_msg": "",
|
| 6722 |
"card": "0",
|
| 6723 |
+
"flow": "flow-32",
|
| 6724 |
"step": "step-6"
|
| 6725 |
}
|
| 6726 |
],
|
| 6727 |
+
"gate_from": "flow-32::step-5::q5"
|
| 6728 |
},
|
| 6729 |
{
|
| 6730 |
"id": "step-7",
|
|
|
|
| 6754 |
{
|
| 6755 |
"type": "quiz",
|
| 6756 |
"qtype": "fill",
|
| 6757 |
+
"id": "flow-32::step-7::q7",
|
| 6758 |
"prompt_runs": [
|
| 6759 |
{
|
| 6760 |
"text": "因此"
|
|
|
|
| 6778 |
"right_msg": "",
|
| 6779 |
"wrong_msg": "",
|
| 6780 |
"card": "0",
|
| 6781 |
+
"flow": "flow-32",
|
| 6782 |
"step": "step-7"
|
| 6783 |
}
|
| 6784 |
],
|
| 6785 |
+
"gate_from": "flow-32::step-6::q6"
|
| 6786 |
},
|
| 6787 |
{
|
| 6788 |
"id": "step-8",
|
|
|
|
| 6792 |
{
|
| 6793 |
"type": "quiz",
|
| 6794 |
"qtype": "choice",
|
| 6795 |
+
"id": "flow-32::step-8::q8",
|
| 6796 |
"prompt_runs": [
|
| 6797 |
{
|
| 6798 |
"text": "因為"
|
|
|
|
| 6837 |
"wrong_hints": {},
|
| 6838 |
"card": "0",
|
| 6839 |
"answer": "c",
|
| 6840 |
+
"flow": "flow-32",
|
| 6841 |
"step": "step-8"
|
| 6842 |
}
|
| 6843 |
],
|
| 6844 |
+
"gate_from": "flow-32::step-7::q7"
|
| 6845 |
},
|
| 6846 |
{
|
| 6847 |
"id": "step-9",
|
|
|
|
| 6880 |
]
|
| 6881 |
}
|
| 6882 |
],
|
| 6883 |
+
"gate_from": "flow-32::step-8::q8"
|
| 6884 |
}
|
| 6885 |
]
|
| 6886 |
}
|
|
|
|
| 8087 |
"body": [
|
| 8088 |
{
|
| 8089 |
"type": "flow",
|
| 8090 |
+
"id": "flow-33",
|
| 8091 |
"persist": "",
|
| 8092 |
"steps": [
|
| 8093 |
{
|
|
|
|
| 8142 |
{
|
| 8143 |
"type": "quiz",
|
| 8144 |
"qtype": "choice",
|
| 8145 |
+
"id": "flow-33::step-1::q1",
|
| 8146 |
"prompt_runs": [
|
| 8147 |
{
|
| 8148 |
"text": "此點是否在 "
|
|
|
|
| 8187 |
"wrong_hints": {},
|
| 8188 |
"card": "0",
|
| 8189 |
"answer": "c",
|
| 8190 |
+
"flow": "flow-33",
|
| 8191 |
"step": "step-1"
|
| 8192 |
}
|
| 8193 |
],
|
|
|
|
| 8238 |
{
|
| 8239 |
"type": "quiz",
|
| 8240 |
"qtype": "fill",
|
| 8241 |
+
"id": "flow-33::step-2::q2",
|
| 8242 |
"prompt_runs": [
|
| 8243 |
{
|
| 8244 |
"text": "此邊界上的最大值："
|
|
|
|
| 8258 |
"right_msg": "",
|
| 8259 |
"wrong_msg": "",
|
| 8260 |
"card": "0",
|
| 8261 |
+
"flow": "flow-33",
|
| 8262 |
"step": "step-2"
|
| 8263 |
}
|
| 8264 |
],
|
| 8265 |
+
"gate_from": "flow-33::step-1::q1"
|
| 8266 |
},
|
| 8267 |
{
|
| 8268 |
"id": "step-3",
|
|
|
|
| 8302 |
{
|
| 8303 |
"type": "quiz",
|
| 8304 |
"qtype": "fill",
|
| 8305 |
+
"id": "flow-33::step-3::q3",
|
| 8306 |
"prompt_runs": [
|
| 8307 |
{
|
| 8308 |
"text": "此邊界上的最小值："
|
|
|
|
| 8322 |
"right_msg": "",
|
| 8323 |
"wrong_msg": "",
|
| 8324 |
"card": "0",
|
| 8325 |
+
"flow": "flow-33",
|
| 8326 |
"step": "step-3"
|
| 8327 |
}
|
| 8328 |
],
|
| 8329 |
+
"gate_from": "flow-33::step-2::q2"
|
| 8330 |
},
|
| 8331 |
{
|
| 8332 |
"id": "step-4",
|
|
|
|
| 8336 |
{
|
| 8337 |
"type": "quiz",
|
| 8338 |
"qtype": "fill",
|
| 8339 |
+
"id": "flow-33::step-4::q4",
|
| 8340 |
"prompt_runs": [
|
| 8341 |
{
|
| 8342 |
"text": "邊界 "
|
|
|
|
| 8377 |
"right_msg": "",
|
| 8378 |
"wrong_msg": "",
|
| 8379 |
"card": "0",
|
| 8380 |
+
"flow": "flow-33",
|
| 8381 |
"step": "step-4"
|
| 8382 |
}
|
| 8383 |
],
|
| 8384 |
+
"gate_from": "flow-33::step-3::q3"
|
| 8385 |
},
|
| 8386 |
{
|
| 8387 |
"id": "step-5",
|
|
|
|
| 8414 |
{
|
| 8415 |
"type": "quiz",
|
| 8416 |
"qtype": "fill",
|
| 8417 |
+
"id": "flow-33::step-5::q5",
|
| 8418 |
"prompt_runs": [
|
| 8419 |
{
|
| 8420 |
"text": "絕對最大值："
|
|
|
|
| 8434 |
"right_msg": "",
|
| 8435 |
"wrong_msg": "",
|
| 8436 |
"card": "0",
|
| 8437 |
+
"flow": "flow-33",
|
| 8438 |
"step": "step-5"
|
| 8439 |
},
|
| 8440 |
{
|
|
|
|
| 8446 |
{
|
| 8447 |
"type": "quiz",
|
| 8448 |
"qtype": "fill",
|
| 8449 |
+
"id": "flow-33::step-5::q6",
|
| 8450 |
"prompt_runs": [
|
| 8451 |
{
|
| 8452 |
"text": "絕對最小值："
|
|
|
|
| 8466 |
"right_msg": "",
|
| 8467 |
"wrong_msg": "",
|
| 8468 |
"card": "0",
|
| 8469 |
+
"flow": "flow-33",
|
| 8470 |
"step": "step-5"
|
| 8471 |
},
|
| 8472 |
{
|
|
|
|
| 8531 |
]
|
| 8532 |
}
|
| 8533 |
],
|
| 8534 |
+
"gate_from": "flow-33::step-4::q4"
|
| 8535 |
}
|
| 8536 |
]
|
| 8537 |
}
|
|
|
|
| 8971 |
},
|
| 8972 |
{
|
| 8973 |
"type": "flow",
|
| 8974 |
+
"id": "flow-29",
|
| 8975 |
"persist": "",
|
| 8976 |
"steps": [
|
| 8977 |
{
|
|
|
|
| 8982 |
{
|
| 8983 |
"type": "quiz",
|
| 8984 |
"qtype": "choice",
|
| 8985 |
+
"id": "flow-29::step-1::q1",
|
| 8986 |
"prompt_runs": [
|
| 8987 |
{
|
| 8988 |
"text": "「函數 "
|
|
|
|
| 9033 |
"wrong_hints": {},
|
| 9034 |
"card": "0",
|
| 9035 |
"answer": "b",
|
| 9036 |
+
"flow": "flow-29",
|
| 9037 |
"step": "step-1"
|
| 9038 |
}
|
| 9039 |
],
|
|
|
|
| 9076 |
]
|
| 9077 |
}
|
| 9078 |
],
|
| 9079 |
+
"gate_from": "flow-29::step-1::q1"
|
| 9080 |
}
|
| 9081 |
]
|
| 9082 |
},
|
|
|
|
| 9721 |
"body": [
|
| 9722 |
{
|
| 9723 |
"type": "flow",
|
| 9724 |
+
"id": "flow-30",
|
| 9725 |
"persist": "",
|
| 9726 |
"steps": [
|
| 9727 |
{
|
|
|
|
| 9732 |
{
|
| 9733 |
"type": "quiz",
|
| 9734 |
"qtype": "choice",
|
| 9735 |
+
"id": "flow-30::step-1::q1",
|
| 9736 |
"prompt_runs": [
|
| 9737 |
{
|
| 9738 |
"text": "找臨界點的第一步是？"
|
|
|
|
| 9763 |
"wrong_hints": {},
|
| 9764 |
"card": "0",
|
| 9765 |
"answer": "c",
|
| 9766 |
+
"flow": "flow-30",
|
| 9767 |
"step": "step-1"
|
| 9768 |
}
|
| 9769 |
],
|
|
|
|
| 9777 |
{
|
| 9778 |
"type": "quiz",
|
| 9779 |
"qtype": "fill",
|
| 9780 |
+
"id": "flow-30::step-2::q2",
|
| 9781 |
"prompt_runs": [
|
| 9782 |
{
|
| 9783 |
"latex": "$f_x = ?$",
|
|
|
|
| 9798 |
"right_msg": "",
|
| 9799 |
"wrong_msg": "",
|
| 9800 |
"card": "0",
|
| 9801 |
+
"flow": "flow-30",
|
| 9802 |
"step": "step-2"
|
| 9803 |
}
|
| 9804 |
],
|
| 9805 |
+
"gate_from": "flow-30::step-1::q1"
|
| 9806 |
},
|
| 9807 |
{
|
| 9808 |
"id": "step-3",
|
|
|
|
| 9812 |
{
|
| 9813 |
"type": "quiz",
|
| 9814 |
"qtype": "fill",
|
| 9815 |
+
"id": "flow-30::step-3::q3",
|
| 9816 |
"prompt_runs": [
|
| 9817 |
{
|
| 9818 |
"latex": "$f_y = ?$",
|
|
|
|
| 9833 |
"right_msg": "",
|
| 9834 |
"wrong_msg": "",
|
| 9835 |
"card": "0",
|
| 9836 |
+
"flow": "flow-30",
|
| 9837 |
"step": "step-3"
|
| 9838 |
}
|
| 9839 |
],
|
| 9840 |
+
"gate_from": "flow-30::step-2::q2"
|
| 9841 |
},
|
| 9842 |
{
|
| 9843 |
"id": "step-4",
|
|
|
|
| 9847 |
{
|
| 9848 |
"type": "quiz",
|
| 9849 |
"qtype": "choice",
|
| 9850 |
+
"id": "flow-30::step-4::q4",
|
| 9851 |
"prompt_runs": [
|
| 9852 |
{
|
| 9853 |
"text": "令 "
|
|
|
|
| 9885 |
"wrong_hints": {},
|
| 9886 |
"card": "0",
|
| 9887 |
"answer": "a",
|
| 9888 |
+
"flow": "flow-30",
|
| 9889 |
"step": "step-4"
|
| 9890 |
}
|
| 9891 |
],
|
| 9892 |
+
"gate_from": "flow-30::step-3::q3"
|
| 9893 |
}
|
| 9894 |
]
|
| 9895 |
}
|
|
|
|
| 10055 |
"body": [
|
| 10056 |
{
|
| 10057 |
"type": "flow",
|
| 10058 |
+
"id": "flow-31",
|
| 10059 |
"persist": "",
|
| 10060 |
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| 10061 |
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| 10066 |
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| 10067 |
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|
| 10070 |
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|
| 10071 |
{
|
| 10072 |
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|
|
|
|
| 10104 |
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|
| 10118 |
{
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| 10119 |
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| 10120 |
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| 10122 |
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|
| 10123 |
{
|
| 10124 |
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|
|
|
| 10156 |
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| 10157 |
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| 10158 |
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|
| 10161 |
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| 10163 |
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{
|
| 10166 |
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|
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|
| 10170 |
{
|
| 10171 |
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| 10172 |
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| 10173 |
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|
| 10174 |
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|
| 10175 |
{
|
| 10176 |
"text": "根據二階導數判別法，結果是？"
|
|
|
|
| 10201 |
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|
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|
| 10614 |
"body": [
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{
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| 10628 |
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"id": "flow-32::step-1::q1",
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| 10629 |
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|
| 10630 |
{
|
| 10631 |
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|
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| 10656 |
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| 10657 |
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| 10658 |
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| 10670 |
{
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| 10671 |
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| 10672 |
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| 10673 |
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| 10675 |
{
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| 10676 |
"text": "再請問"
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|
| 10694 |
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|
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{
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| 10704 |
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|
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|
| 10735 |
{
|
| 10736 |
"type": "quiz",
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| 10739 |
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|
| 10740 |
{
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| 10741 |
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|
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|
| 10765 |
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|
| 10802 |
{
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| 10803 |
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| 10804 |
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| 10805 |
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| 10806 |
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|
| 10807 |
{
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| 10808 |
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| 10824 |
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| 10837 |
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| 10838 |
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| 10839 |
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| 10840 |
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| 10842 |
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| 10843 |
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| 10864 |
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| 10868 |
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|
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|
| 10872 |
{
|
| 10873 |
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|
| 10874 |
"qtype": "fill",
|
| 10875 |
+
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|
| 10876 |
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|
| 10877 |
{
|
| 10878 |
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|
|
|
| 10893 |
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| 10894 |
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| 10900 |
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| 10903 |
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| 10927 |
{
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| 10928 |
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|
| 10930 |
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|
| 10931 |
"prompt_runs": [
|
| 10932 |
{
|
| 10933 |
"text": "因此"
|
|
|
|
| 10951 |
"right_msg": "",
|
| 10952 |
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|
| 10953 |
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|
| 10954 |
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| 10955 |
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|
| 10956 |
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| 10957 |
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| 10958 |
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|
| 10959 |
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| 10960 |
{
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| 10961 |
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|
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|
| 10965 |
{
|
| 10966 |
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|
| 10967 |
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|
| 10969 |
"prompt_runs": [
|
| 10970 |
{
|
| 10971 |
"text": "因為"
|
|
|
|
| 11010 |
"wrong_hints": {},
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| 11011 |
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| 11012 |
"answer": "c",
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| 11014 |
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| 11015 |
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| 11016 |
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| 11017 |
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| 11018 |
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| 11019 |
{
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| 11020 |
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|
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|
| 11053 |
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|
| 11054 |
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| 11055 |
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|
| 11056 |
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| 11057 |
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| 11058 |
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| 11059 |
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|
|
|
|
| 12266 |
"body": [
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| 12267 |
{
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| 12268 |
"type": "flow",
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| 12269 |
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| 12270 |
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| 12271 |
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| 12272 |
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|
| 12321 |
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|
| 12322 |
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|
| 12323 |
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|
| 12324 |
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|
| 12325 |
"prompt_runs": [
|
| 12326 |
{
|
| 12327 |
"text": "此點是否在 "
|
|
|
|
| 12366 |
"wrong_hints": {},
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| 12367 |
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|
| 12368 |
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|
|
| 12417 |
{
|
| 12418 |
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|
| 12419 |
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|
| 12420 |
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"id": "flow-33::step-2::q2",
|
| 12421 |
"prompt_runs": [
|
| 12422 |
{
|
| 12423 |
"text": "此邊界上的最大值："
|
|
|
|
| 12437 |
"right_msg": "",
|
| 12438 |
"wrong_msg": "",
|
| 12439 |
"card": "0",
|
| 12440 |
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| 12441 |
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|
| 12442 |
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| 12443 |
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| 12444 |
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|
| 12445 |
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| 12446 |
{
|
| 12447 |
"id": "step-3",
|
|
|
|
| 12481 |
{
|
| 12482 |
"type": "quiz",
|
| 12483 |
"qtype": "fill",
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| 12484 |
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"id": "flow-33::step-3::q3",
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| 12485 |
"prompt_runs": [
|
| 12486 |
{
|
| 12487 |
"text": "此邊界上的最小值："
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|
|
|
| 12501 |
"right_msg": "",
|
| 12502 |
"wrong_msg": "",
|
| 12503 |
"card": "0",
|
| 12504 |
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| 12505 |
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| 12506 |
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| 12507 |
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| 12508 |
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| 12509 |
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| 12510 |
{
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| 12511 |
"id": "step-4",
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|
|
|
| 12515 |
{
|
| 12516 |
"type": "quiz",
|
| 12517 |
"qtype": "fill",
|
| 12518 |
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"id": "flow-33::step-4::q4",
|
| 12519 |
"prompt_runs": [
|
| 12520 |
{
|
| 12521 |
"text": "邊界 "
|
|
|
|
| 12556 |
"right_msg": "",
|
| 12557 |
"wrong_msg": "",
|
| 12558 |
"card": "0",
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| 12559 |
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|
| 12560 |
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|
| 12561 |
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| 12562 |
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| 12563 |
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| 12564 |
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| 12565 |
{
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|
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|
| 12593 |
{
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| 12594 |
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| 12595 |
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| 12597 |
"prompt_runs": [
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| 12598 |
{
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| 12599 |
"text": "絕對最大值："
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|
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|
| 12613 |
"right_msg": "",
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| 12614 |
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| 12615 |
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| 12617 |
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| 12619 |
{
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|
|
|
| 12625 |
{
|
| 12626 |
"type": "quiz",
|
| 12627 |
"qtype": "fill",
|
| 12628 |
+
"id": "flow-33::step-5::q6",
|
| 12629 |
"prompt_runs": [
|
| 12630 |
{
|
| 12631 |
"text": "絕對最小值："
|
|
|
|
| 12645 |
"right_msg": "",
|
| 12646 |
"wrong_msg": "",
|
| 12647 |
"card": "0",
|
| 12648 |
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"flow": "flow-33",
|
| 12649 |
"step": "step-5"
|
| 12650 |
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| 12651 |
{
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|
|
|
| 12710 |
]
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| 12711 |
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| 12712 |
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| 12713 |
+
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| 12714 |
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pages/Ch14/C14_8/exported_result_14_8.json
CHANGED
|
@@ -420,7 +420,7 @@
|
|
| 420 |
},
|
| 421 |
{
|
| 422 |
"type": "flow",
|
| 423 |
-
"id": "flow-
|
| 424 |
"persist": "",
|
| 425 |
"steps": [
|
| 426 |
{
|
|
@@ -431,7 +431,7 @@
|
|
| 431 |
{
|
| 432 |
"type": "quiz",
|
| 433 |
"qtype": "choice",
|
| 434 |
-
"id": "flow-
|
| 435 |
"prompt_runs": [],
|
| 436 |
"options": [
|
| 437 |
{
|
|
@@ -450,7 +450,7 @@
|
|
| 450 |
"wrong_hints": {},
|
| 451 |
"card": "0",
|
| 452 |
"answer": "b",
|
| 453 |
-
"flow": "flow-
|
| 454 |
"step": "step-1"
|
| 455 |
}
|
| 456 |
],
|
|
@@ -523,7 +523,7 @@
|
|
| 523 |
]
|
| 524 |
}
|
| 525 |
],
|
| 526 |
-
"gate_from": "flow-
|
| 527 |
}
|
| 528 |
]
|
| 529 |
},
|
|
@@ -1255,7 +1255,7 @@
|
|
| 1255 |
"body": [
|
| 1256 |
{
|
| 1257 |
"type": "flow",
|
| 1258 |
-
"id": "flow-
|
| 1259 |
"persist": "",
|
| 1260 |
"steps": [
|
| 1261 |
{
|
|
@@ -1307,7 +1307,7 @@
|
|
| 1307 |
{
|
| 1308 |
"type": "quiz",
|
| 1309 |
"qtype": "choice",
|
| 1310 |
-
"id": "flow-
|
| 1311 |
"prompt_runs": [
|
| 1312 |
{
|
| 1313 |
"latex": "$x$",
|
|
@@ -1349,7 +1349,7 @@
|
|
| 1349 |
"wrong_hints": {},
|
| 1350 |
"card": "0",
|
| 1351 |
"answer": "a",
|
| 1352 |
-
"flow": "flow-
|
| 1353 |
"step": "step-1"
|
| 1354 |
}
|
| 1355 |
],
|
|
@@ -1363,7 +1363,7 @@
|
|
| 1363 |
{
|
| 1364 |
"type": "quiz",
|
| 1365 |
"qtype": "fill",
|
| 1366 |
-
"id": "flow-
|
| 1367 |
"prompt_runs": [
|
| 1368 |
{
|
| 1369 |
"text": "代入 "
|
|
@@ -1404,11 +1404,11 @@
|
|
| 1404 |
"right_msg": "",
|
| 1405 |
"wrong_msg": "",
|
| 1406 |
"card": "0",
|
| 1407 |
-
"flow": "flow-
|
| 1408 |
"step": "step-2"
|
| 1409 |
}
|
| 1410 |
],
|
| 1411 |
-
"gate_from": "flow-
|
| 1412 |
},
|
| 1413 |
{
|
| 1414 |
"id": "step-3",
|
|
@@ -1499,7 +1499,7 @@
|
|
| 1499 |
]
|
| 1500 |
}
|
| 1501 |
],
|
| 1502 |
-
"gate_from": "flow-
|
| 1503 |
}
|
| 1504 |
]
|
| 1505 |
}
|
|
@@ -1956,7 +1956,7 @@
|
|
| 1956 |
"body": [
|
| 1957 |
{
|
| 1958 |
"type": "flow",
|
| 1959 |
-
"id": "flow-
|
| 1960 |
"persist": "",
|
| 1961 |
"steps": [
|
| 1962 |
{
|
|
@@ -1967,7 +1967,7 @@
|
|
| 1967 |
{
|
| 1968 |
"type": "quiz",
|
| 1969 |
"qtype": "fill",
|
| 1970 |
-
"id": "flow-
|
| 1971 |
"prompt_runs": [
|
| 1972 |
{
|
| 1973 |
"latex": "$\\nabla f = \\langle f_x,f_y\\rangle =$",
|
|
@@ -1991,7 +1991,7 @@
|
|
| 1991 |
"right_msg": "",
|
| 1992 |
"wrong_msg": "",
|
| 1993 |
"card": "0",
|
| 1994 |
-
"flow": "flow-
|
| 1995 |
"step": "step-1"
|
| 1996 |
},
|
| 1997 |
{
|
|
@@ -2003,7 +2003,7 @@
|
|
| 2003 |
{
|
| 2004 |
"type": "quiz",
|
| 2005 |
"qtype": "fill",
|
| 2006 |
-
"id": "flow-
|
| 2007 |
"prompt_runs": [
|
| 2008 |
{
|
| 2009 |
"latex": "$\\nabla g = \\langle g_x,g_y\\rangle =$",
|
|
@@ -2027,7 +2027,7 @@
|
|
| 2027 |
"right_msg": "",
|
| 2028 |
"wrong_msg": "",
|
| 2029 |
"card": "0",
|
| 2030 |
-
"flow": "flow-
|
| 2031 |
"step": "step-1"
|
| 2032 |
}
|
| 2033 |
],
|
|
@@ -2041,7 +2041,7 @@
|
|
| 2041 |
{
|
| 2042 |
"type": "quiz",
|
| 2043 |
"qtype": "fill",
|
| 2044 |
-
"id": "flow-
|
| 2045 |
"prompt_runs": [
|
| 2046 |
{
|
| 2047 |
"text": "由 "
|
|
@@ -2086,11 +2086,11 @@
|
|
| 2086 |
"right_msg": "",
|
| 2087 |
"wrong_msg": "",
|
| 2088 |
"card": "0",
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| 2089 |
-
"flow": "flow-
|
| 2090 |
"step": "step-2"
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| 2091 |
}
|
| 2092 |
],
|
| 2093 |
-
"gate_from": "flow-
|
| 2094 |
},
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{
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"id": "step-3",
|
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@@ -2100,7 +2100,7 @@
|
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| 2100 |
{
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"type": "quiz",
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"qtype": "fill",
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| 2103 |
-
"id": "flow-
|
| 2104 |
"prompt_runs": [
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| 2105 |
{
|
| 2106 |
"text": "代入約束條件 "
|
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@@ -2127,7 +2127,7 @@
|
|
| 2127 |
"right_msg": "",
|
| 2128 |
"wrong_msg": "",
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"card": "0",
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-
"flow": "flow-
|
| 2131 |
"step": "step-3"
|
| 2132 |
},
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| 2133 |
{
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@@ -2139,7 +2139,7 @@
|
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| 2139 |
{
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"type": "quiz",
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"qtype": "fill",
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-
"id": "flow-
|
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"prompt_runs": [
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{
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"latex": "$\\lambda = ?$",
|
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@@ -2160,11 +2160,11 @@
|
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| 2160 |
"right_msg": "",
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"wrong_msg": "",
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"card": "0",
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-
"flow": "flow-
|
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"step": "step-3"
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}
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],
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-
"gate_from": "flow-
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}
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}
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@@ -2543,7 +2543,7 @@
|
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| 2543 |
"body": [
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| 2544 |
{
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"type": "flow",
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"id": "flow-
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"persist": "",
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"steps": [
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{
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@@ -2554,7 +2554,7 @@
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{
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"type": "quiz",
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"qtype": "fill",
|
| 2557 |
-
"id": "flow-
|
| 2558 |
"prompt_runs": [
|
| 2559 |
{
|
| 2560 |
"text": "設定目標函數和約束條件：- 目標函數："
|
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@@ -2578,7 +2578,7 @@
|
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| 2578 |
"right_msg": "",
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"wrong_msg": "",
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"card": "0",
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-
"flow": "flow-
|
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"step": "step-1"
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},
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{
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@@ -2609,7 +2609,7 @@
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| 2609 |
{
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"type": "quiz",
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"qtype": "fill",
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"id": "flow-
|
| 2613 |
"prompt_runs": [],
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"answers": [
|
| 2615 |
"4*x+y=200"
|
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@@ -2625,7 +2625,7 @@
|
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| 2625 |
"right_msg": "",
|
| 2626 |
"wrong_msg": "",
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"card": "0",
|
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-
"flow": "flow-
|
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"step": "step-1"
|
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}
|
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],
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@@ -2639,7 +2639,7 @@
|
|
| 2639 |
{
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"type": "quiz",
|
| 2641 |
"qtype": "choice",
|
| 2642 |
-
"id": "flow-
|
| 2643 |
"prompt_runs": [
|
| 2644 |
{
|
| 2645 |
"text": "由梯度方程得 "
|
|
@@ -2691,11 +2691,11 @@
|
|
| 2691 |
"wrong_hints": {},
|
| 2692 |
"card": "0",
|
| 2693 |
"answer": "b",
|
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-
"flow": "flow-
|
| 2695 |
"step": "step-2"
|
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}
|
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],
|
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-
"gate_from": "flow-
|
| 2699 |
},
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| 2700 |
{
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"id": "step-3",
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@@ -2705,7 +2705,7 @@
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| 2705 |
{
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"type": "quiz",
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"qtype": "fill",
|
| 2708 |
-
"id": "flow-
|
| 2709 |
"prompt_runs": [
|
| 2710 |
{
|
| 2711 |
"text": "代入約束條件，求最佳組合："
|
|
@@ -2725,11 +2725,11 @@
|
|
| 2725 |
"right_msg": "",
|
| 2726 |
"wrong_msg": "",
|
| 2727 |
"card": "0",
|
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-
"flow": "flow-
|
| 2729 |
"step": "step-3"
|
| 2730 |
}
|
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],
|
| 2732 |
-
"gate_from": "flow-
|
| 2733 |
},
|
| 2734 |
{
|
| 2735 |
"id": "step-4",
|
|
@@ -2739,7 +2739,7 @@
|
|
| 2739 |
{
|
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"type": "quiz",
|
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"qtype": "fill",
|
| 2742 |
-
"id": "flow-
|
| 2743 |
"prompt_runs": [
|
| 2744 |
{
|
| 2745 |
"text": "代入目標函數，最大產量："
|
|
@@ -2759,11 +2759,11 @@
|
|
| 2759 |
"right_msg": "",
|
| 2760 |
"wrong_msg": "",
|
| 2761 |
"card": "0",
|
| 2762 |
-
"flow": "flow-
|
| 2763 |
"step": "step-4"
|
| 2764 |
}
|
| 2765 |
],
|
| 2766 |
-
"gate_from": "flow-
|
| 2767 |
}
|
| 2768 |
]
|
| 2769 |
}
|
|
@@ -3003,7 +3003,7 @@
|
|
| 3003 |
},
|
| 3004 |
{
|
| 3005 |
"type": "flow",
|
| 3006 |
-
"id": "flow-
|
| 3007 |
"persist": "",
|
| 3008 |
"steps": [
|
| 3009 |
{
|
|
@@ -3014,7 +3014,7 @@
|
|
| 3014 |
{
|
| 3015 |
"type": "quiz",
|
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"qtype": "choice",
|
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-
"id": "flow-
|
| 3018 |
"prompt_runs": [],
|
| 3019 |
"options": [
|
| 3020 |
{
|
|
@@ -3033,7 +3033,7 @@
|
|
| 3033 |
"wrong_hints": {},
|
| 3034 |
"card": "0",
|
| 3035 |
"answer": "b",
|
| 3036 |
-
"flow": "flow-
|
| 3037 |
"step": "step-1"
|
| 3038 |
}
|
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],
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|
@@ -3084,7 +3084,7 @@
|
|
| 3084 |
]
|
| 3085 |
}
|
| 3086 |
],
|
| 3087 |
-
"gate_from": "flow-
|
| 3088 |
}
|
| 3089 |
]
|
| 3090 |
},
|
|
@@ -3816,7 +3816,7 @@
|
|
| 3816 |
},
|
| 3817 |
{
|
| 3818 |
"type": "flow",
|
| 3819 |
-
"id": "flow-
|
| 3820 |
"persist": "",
|
| 3821 |
"steps": [
|
| 3822 |
{
|
|
@@ -3827,7 +3827,7 @@
|
|
| 3827 |
{
|
| 3828 |
"type": "quiz",
|
| 3829 |
"qtype": "choice",
|
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-
"id": "flow-
|
| 3831 |
"prompt_runs": [],
|
| 3832 |
"options": [
|
| 3833 |
{
|
|
@@ -3846,7 +3846,7 @@
|
|
| 3846 |
"wrong_hints": {},
|
| 3847 |
"card": "0",
|
| 3848 |
"answer": "b",
|
| 3849 |
-
"flow": "flow-
|
| 3850 |
"step": "step-1"
|
| 3851 |
}
|
| 3852 |
],
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|
@@ -3919,7 +3919,7 @@
|
|
| 3919 |
]
|
| 3920 |
}
|
| 3921 |
],
|
| 3922 |
-
"gate_from": "flow-
|
| 3923 |
}
|
| 3924 |
]
|
| 3925 |
},
|
|
@@ -4651,7 +4651,7 @@
|
|
| 4651 |
"body": [
|
| 4652 |
{
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| 4653 |
"type": "flow",
|
| 4654 |
-
"id": "flow-
|
| 4655 |
"persist": "",
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| 4656 |
"steps": [
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| 4657 |
{
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|
@@ -4703,7 +4703,7 @@
|
|
| 4703 |
{
|
| 4704 |
"type": "quiz",
|
| 4705 |
"qtype": "choice",
|
| 4706 |
-
"id": "flow-
|
| 4707 |
"prompt_runs": [
|
| 4708 |
{
|
| 4709 |
"latex": "$x$",
|
|
@@ -4745,7 +4745,7 @@
|
|
| 4745 |
"wrong_hints": {},
|
| 4746 |
"card": "0",
|
| 4747 |
"answer": "a",
|
| 4748 |
-
"flow": "flow-
|
| 4749 |
"step": "step-1"
|
| 4750 |
}
|
| 4751 |
],
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|
@@ -4759,7 +4759,7 @@
|
|
| 4759 |
{
|
| 4760 |
"type": "quiz",
|
| 4761 |
"qtype": "fill",
|
| 4762 |
-
"id": "flow-
|
| 4763 |
"prompt_runs": [
|
| 4764 |
{
|
| 4765 |
"text": "代入 "
|
|
@@ -4800,11 +4800,11 @@
|
|
| 4800 |
"right_msg": "",
|
| 4801 |
"wrong_msg": "",
|
| 4802 |
"card": "0",
|
| 4803 |
-
"flow": "flow-
|
| 4804 |
"step": "step-2"
|
| 4805 |
}
|
| 4806 |
],
|
| 4807 |
-
"gate_from": "flow-
|
| 4808 |
},
|
| 4809 |
{
|
| 4810 |
"id": "step-3",
|
|
@@ -4895,7 +4895,7 @@
|
|
| 4895 |
]
|
| 4896 |
}
|
| 4897 |
],
|
| 4898 |
-
"gate_from": "flow-
|
| 4899 |
}
|
| 4900 |
]
|
| 4901 |
}
|
|
@@ -5352,7 +5352,7 @@
|
|
| 5352 |
"body": [
|
| 5353 |
{
|
| 5354 |
"type": "flow",
|
| 5355 |
-
"id": "flow-
|
| 5356 |
"persist": "",
|
| 5357 |
"steps": [
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| 5358 |
{
|
|
@@ -5363,7 +5363,7 @@
|
|
| 5363 |
{
|
| 5364 |
"type": "quiz",
|
| 5365 |
"qtype": "fill",
|
| 5366 |
-
"id": "flow-
|
| 5367 |
"prompt_runs": [
|
| 5368 |
{
|
| 5369 |
"latex": "$\\nabla f = \\langle f_x,f_y\\rangle =$",
|
|
@@ -5387,7 +5387,7 @@
|
|
| 5387 |
"right_msg": "",
|
| 5388 |
"wrong_msg": "",
|
| 5389 |
"card": "0",
|
| 5390 |
-
"flow": "flow-
|
| 5391 |
"step": "step-1"
|
| 5392 |
},
|
| 5393 |
{
|
|
@@ -5399,7 +5399,7 @@
|
|
| 5399 |
{
|
| 5400 |
"type": "quiz",
|
| 5401 |
"qtype": "fill",
|
| 5402 |
-
"id": "flow-
|
| 5403 |
"prompt_runs": [
|
| 5404 |
{
|
| 5405 |
"latex": "$\\nabla g = \\langle g_x,g_y\\rangle =$",
|
|
@@ -5423,7 +5423,7 @@
|
|
| 5423 |
"right_msg": "",
|
| 5424 |
"wrong_msg": "",
|
| 5425 |
"card": "0",
|
| 5426 |
-
"flow": "flow-
|
| 5427 |
"step": "step-1"
|
| 5428 |
}
|
| 5429 |
],
|
|
@@ -5437,7 +5437,7 @@
|
|
| 5437 |
{
|
| 5438 |
"type": "quiz",
|
| 5439 |
"qtype": "fill",
|
| 5440 |
-
"id": "flow-
|
| 5441 |
"prompt_runs": [
|
| 5442 |
{
|
| 5443 |
"text": "由 "
|
|
@@ -5482,11 +5482,11 @@
|
|
| 5482 |
"right_msg": "",
|
| 5483 |
"wrong_msg": "",
|
| 5484 |
"card": "0",
|
| 5485 |
-
"flow": "flow-
|
| 5486 |
"step": "step-2"
|
| 5487 |
}
|
| 5488 |
],
|
| 5489 |
-
"gate_from": "flow-
|
| 5490 |
},
|
| 5491 |
{
|
| 5492 |
"id": "step-3",
|
|
@@ -5496,7 +5496,7 @@
|
|
| 5496 |
{
|
| 5497 |
"type": "quiz",
|
| 5498 |
"qtype": "fill",
|
| 5499 |
-
"id": "flow-
|
| 5500 |
"prompt_runs": [
|
| 5501 |
{
|
| 5502 |
"text": "代入約束條件 "
|
|
@@ -5523,7 +5523,7 @@
|
|
| 5523 |
"right_msg": "",
|
| 5524 |
"wrong_msg": "",
|
| 5525 |
"card": "0",
|
| 5526 |
-
"flow": "flow-
|
| 5527 |
"step": "step-3"
|
| 5528 |
},
|
| 5529 |
{
|
|
@@ -5535,7 +5535,7 @@
|
|
| 5535 |
{
|
| 5536 |
"type": "quiz",
|
| 5537 |
"qtype": "fill",
|
| 5538 |
-
"id": "flow-
|
| 5539 |
"prompt_runs": [
|
| 5540 |
{
|
| 5541 |
"latex": "$\\lambda = ?$",
|
|
@@ -5556,11 +5556,11 @@
|
|
| 5556 |
"right_msg": "",
|
| 5557 |
"wrong_msg": "",
|
| 5558 |
"card": "0",
|
| 5559 |
-
"flow": "flow-
|
| 5560 |
"step": "step-3"
|
| 5561 |
}
|
| 5562 |
],
|
| 5563 |
-
"gate_from": "flow-
|
| 5564 |
}
|
| 5565 |
]
|
| 5566 |
}
|
|
@@ -5939,7 +5939,7 @@
|
|
| 5939 |
"body": [
|
| 5940 |
{
|
| 5941 |
"type": "flow",
|
| 5942 |
-
"id": "flow-
|
| 5943 |
"persist": "",
|
| 5944 |
"steps": [
|
| 5945 |
{
|
|
@@ -5950,7 +5950,7 @@
|
|
| 5950 |
{
|
| 5951 |
"type": "quiz",
|
| 5952 |
"qtype": "fill",
|
| 5953 |
-
"id": "flow-
|
| 5954 |
"prompt_runs": [
|
| 5955 |
{
|
| 5956 |
"text": "設定目標函數和約束條件：- 目標函數："
|
|
@@ -5974,7 +5974,7 @@
|
|
| 5974 |
"right_msg": "",
|
| 5975 |
"wrong_msg": "",
|
| 5976 |
"card": "0",
|
| 5977 |
-
"flow": "flow-
|
| 5978 |
"step": "step-1"
|
| 5979 |
},
|
| 5980 |
{
|
|
@@ -6005,7 +6005,7 @@
|
|
| 6005 |
{
|
| 6006 |
"type": "quiz",
|
| 6007 |
"qtype": "fill",
|
| 6008 |
-
"id": "flow-
|
| 6009 |
"prompt_runs": [],
|
| 6010 |
"answers": [
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| 6011 |
"4*x+y=200"
|
|
@@ -6021,7 +6021,7 @@
|
|
| 6021 |
"right_msg": "",
|
| 6022 |
"wrong_msg": "",
|
| 6023 |
"card": "0",
|
| 6024 |
-
"flow": "flow-
|
| 6025 |
"step": "step-1"
|
| 6026 |
}
|
| 6027 |
],
|
|
@@ -6035,7 +6035,7 @@
|
|
| 6035 |
{
|
| 6036 |
"type": "quiz",
|
| 6037 |
"qtype": "choice",
|
| 6038 |
-
"id": "flow-
|
| 6039 |
"prompt_runs": [
|
| 6040 |
{
|
| 6041 |
"text": "由梯度方程得 "
|
|
@@ -6087,11 +6087,11 @@
|
|
| 6087 |
"wrong_hints": {},
|
| 6088 |
"card": "0",
|
| 6089 |
"answer": "b",
|
| 6090 |
-
"flow": "flow-
|
| 6091 |
"step": "step-2"
|
| 6092 |
}
|
| 6093 |
],
|
| 6094 |
-
"gate_from": "flow-
|
| 6095 |
},
|
| 6096 |
{
|
| 6097 |
"id": "step-3",
|
|
@@ -6101,7 +6101,7 @@
|
|
| 6101 |
{
|
| 6102 |
"type": "quiz",
|
| 6103 |
"qtype": "fill",
|
| 6104 |
-
"id": "flow-
|
| 6105 |
"prompt_runs": [
|
| 6106 |
{
|
| 6107 |
"text": "代入約束條件，求最佳組合："
|
|
@@ -6121,11 +6121,11 @@
|
|
| 6121 |
"right_msg": "",
|
| 6122 |
"wrong_msg": "",
|
| 6123 |
"card": "0",
|
| 6124 |
-
"flow": "flow-
|
| 6125 |
"step": "step-3"
|
| 6126 |
}
|
| 6127 |
],
|
| 6128 |
-
"gate_from": "flow-
|
| 6129 |
},
|
| 6130 |
{
|
| 6131 |
"id": "step-4",
|
|
@@ -6135,7 +6135,7 @@
|
|
| 6135 |
{
|
| 6136 |
"type": "quiz",
|
| 6137 |
"qtype": "fill",
|
| 6138 |
-
"id": "flow-
|
| 6139 |
"prompt_runs": [
|
| 6140 |
{
|
| 6141 |
"text": "代入目標函數，最大產量："
|
|
@@ -6155,11 +6155,11 @@
|
|
| 6155 |
"right_msg": "",
|
| 6156 |
"wrong_msg": "",
|
| 6157 |
"card": "0",
|
| 6158 |
-
"flow": "flow-
|
| 6159 |
"step": "step-4"
|
| 6160 |
}
|
| 6161 |
],
|
| 6162 |
-
"gate_from": "flow-
|
| 6163 |
}
|
| 6164 |
]
|
| 6165 |
}
|
|
@@ -6399,7 +6399,7 @@
|
|
| 6399 |
},
|
| 6400 |
{
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| 6401 |
"type": "flow",
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| 6402 |
-
"id": "flow-
|
| 6403 |
"persist": "",
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| 6404 |
"steps": [
|
| 6405 |
{
|
|
@@ -6410,7 +6410,7 @@
|
|
| 6410 |
{
|
| 6411 |
"type": "quiz",
|
| 6412 |
"qtype": "choice",
|
| 6413 |
-
"id": "flow-
|
| 6414 |
"prompt_runs": [],
|
| 6415 |
"options": [
|
| 6416 |
{
|
|
@@ -6429,7 +6429,7 @@
|
|
| 6429 |
"wrong_hints": {},
|
| 6430 |
"card": "0",
|
| 6431 |
"answer": "b",
|
| 6432 |
-
"flow": "flow-
|
| 6433 |
"step": "step-1"
|
| 6434 |
}
|
| 6435 |
],
|
|
@@ -6480,7 +6480,7 @@
|
|
| 6480 |
]
|
| 6481 |
}
|
| 6482 |
],
|
| 6483 |
-
"gate_from": "flow-
|
| 6484 |
}
|
| 6485 |
]
|
| 6486 |
},
|
|
@@ -7162,7 +7162,7 @@
|
|
| 7162 |
},
|
| 7163 |
{
|
| 7164 |
"type": "flow",
|
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-
"id": "flow-
|
| 7166 |
"persist": "",
|
| 7167 |
"steps": [
|
| 7168 |
{
|
|
@@ -7173,7 +7173,7 @@
|
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| 7173 |
{
|
| 7174 |
"type": "quiz",
|
| 7175 |
"qtype": "choice",
|
| 7176 |
-
"id": "flow-
|
| 7177 |
"prompt_runs": [],
|
| 7178 |
"options": [
|
| 7179 |
{
|
|
@@ -7192,7 +7192,7 @@
|
|
| 7192 |
"wrong_hints": {},
|
| 7193 |
"card": "0",
|
| 7194 |
"answer": "b",
|
| 7195 |
-
"flow": "flow-
|
| 7196 |
"step": "step-1"
|
| 7197 |
}
|
| 7198 |
],
|
|
@@ -7265,7 +7265,7 @@
|
|
| 7265 |
]
|
| 7266 |
}
|
| 7267 |
],
|
| 7268 |
-
"gate_from": "flow-
|
| 7269 |
}
|
| 7270 |
]
|
| 7271 |
},
|
|
@@ -8003,7 +8003,7 @@
|
|
| 8003 |
"body": [
|
| 8004 |
{
|
| 8005 |
"type": "flow",
|
| 8006 |
-
"id": "flow-
|
| 8007 |
"persist": "",
|
| 8008 |
"steps": [
|
| 8009 |
{
|
|
@@ -8055,7 +8055,7 @@
|
|
| 8055 |
{
|
| 8056 |
"type": "quiz",
|
| 8057 |
"qtype": "choice",
|
| 8058 |
-
"id": "flow-
|
| 8059 |
"prompt_runs": [
|
| 8060 |
{
|
| 8061 |
"latex": "$x$",
|
|
@@ -8097,7 +8097,7 @@
|
|
| 8097 |
"wrong_hints": {},
|
| 8098 |
"card": "0",
|
| 8099 |
"answer": "a",
|
| 8100 |
-
"flow": "flow-
|
| 8101 |
"step": "step-1"
|
| 8102 |
}
|
| 8103 |
],
|
|
@@ -8111,7 +8111,7 @@
|
|
| 8111 |
{
|
| 8112 |
"type": "quiz",
|
| 8113 |
"qtype": "fill",
|
| 8114 |
-
"id": "flow-
|
| 8115 |
"prompt_runs": [
|
| 8116 |
{
|
| 8117 |
"text": "代入 "
|
|
@@ -8152,11 +8152,11 @@
|
|
| 8152 |
"right_msg": "",
|
| 8153 |
"wrong_msg": "",
|
| 8154 |
"card": "0",
|
| 8155 |
-
"flow": "flow-
|
| 8156 |
"step": "step-2"
|
| 8157 |
}
|
| 8158 |
],
|
| 8159 |
-
"gate_from": "flow-
|
| 8160 |
},
|
| 8161 |
{
|
| 8162 |
"id": "step-3",
|
|
@@ -8247,7 +8247,7 @@
|
|
| 8247 |
]
|
| 8248 |
}
|
| 8249 |
],
|
| 8250 |
-
"gate_from": "flow-
|
| 8251 |
}
|
| 8252 |
]
|
| 8253 |
}
|
|
@@ -8704,7 +8704,7 @@
|
|
| 8704 |
"body": [
|
| 8705 |
{
|
| 8706 |
"type": "flow",
|
| 8707 |
-
"id": "flow-
|
| 8708 |
"persist": "",
|
| 8709 |
"steps": [
|
| 8710 |
{
|
|
@@ -8715,7 +8715,7 @@
|
|
| 8715 |
{
|
| 8716 |
"type": "quiz",
|
| 8717 |
"qtype": "fill",
|
| 8718 |
-
"id": "flow-
|
| 8719 |
"prompt_runs": [
|
| 8720 |
{
|
| 8721 |
"latex": "$\\nabla f = \\langle f_x,f_y\\rangle =$",
|
|
@@ -8739,7 +8739,7 @@
|
|
| 8739 |
"right_msg": "",
|
| 8740 |
"wrong_msg": "",
|
| 8741 |
"card": "0",
|
| 8742 |
-
"flow": "flow-
|
| 8743 |
"step": "step-1"
|
| 8744 |
},
|
| 8745 |
{
|
|
@@ -8751,7 +8751,7 @@
|
|
| 8751 |
{
|
| 8752 |
"type": "quiz",
|
| 8753 |
"qtype": "fill",
|
| 8754 |
-
"id": "flow-
|
| 8755 |
"prompt_runs": [
|
| 8756 |
{
|
| 8757 |
"latex": "$\\nabla g = \\langle g_x,g_y\\rangle =$",
|
|
@@ -8775,7 +8775,7 @@
|
|
| 8775 |
"right_msg": "",
|
| 8776 |
"wrong_msg": "",
|
| 8777 |
"card": "0",
|
| 8778 |
-
"flow": "flow-
|
| 8779 |
"step": "step-1"
|
| 8780 |
}
|
| 8781 |
],
|
|
@@ -8789,7 +8789,7 @@
|
|
| 8789 |
{
|
| 8790 |
"type": "quiz",
|
| 8791 |
"qtype": "fill",
|
| 8792 |
-
"id": "flow-
|
| 8793 |
"prompt_runs": [
|
| 8794 |
{
|
| 8795 |
"text": "由 "
|
|
@@ -8834,11 +8834,11 @@
|
|
| 8834 |
"right_msg": "",
|
| 8835 |
"wrong_msg": "",
|
| 8836 |
"card": "0",
|
| 8837 |
-
"flow": "flow-
|
| 8838 |
"step": "step-2"
|
| 8839 |
}
|
| 8840 |
],
|
| 8841 |
-
"gate_from": "flow-
|
| 8842 |
},
|
| 8843 |
{
|
| 8844 |
"id": "step-3",
|
|
@@ -8848,7 +8848,7 @@
|
|
| 8848 |
{
|
| 8849 |
"type": "quiz",
|
| 8850 |
"qtype": "fill",
|
| 8851 |
-
"id": "flow-
|
| 8852 |
"prompt_runs": [
|
| 8853 |
{
|
| 8854 |
"text": "代入約束條件 "
|
|
@@ -8875,7 +8875,7 @@
|
|
| 8875 |
"right_msg": "",
|
| 8876 |
"wrong_msg": "",
|
| 8877 |
"card": "0",
|
| 8878 |
-
"flow": "flow-
|
| 8879 |
"step": "step-3"
|
| 8880 |
},
|
| 8881 |
{
|
|
@@ -8887,7 +8887,7 @@
|
|
| 8887 |
{
|
| 8888 |
"type": "quiz",
|
| 8889 |
"qtype": "fill",
|
| 8890 |
-
"id": "flow-
|
| 8891 |
"prompt_runs": [
|
| 8892 |
{
|
| 8893 |
"latex": "$\\lambda = ?$",
|
|
@@ -8908,11 +8908,11 @@
|
|
| 8908 |
"right_msg": "",
|
| 8909 |
"wrong_msg": "",
|
| 8910 |
"card": "0",
|
| 8911 |
-
"flow": "flow-
|
| 8912 |
"step": "step-3"
|
| 8913 |
}
|
| 8914 |
],
|
| 8915 |
-
"gate_from": "flow-
|
| 8916 |
}
|
| 8917 |
]
|
| 8918 |
}
|
|
@@ -9291,7 +9291,7 @@
|
|
| 9291 |
"body": [
|
| 9292 |
{
|
| 9293 |
"type": "flow",
|
| 9294 |
-
"id": "flow-
|
| 9295 |
"persist": "",
|
| 9296 |
"steps": [
|
| 9297 |
{
|
|
@@ -9302,7 +9302,7 @@
|
|
| 9302 |
{
|
| 9303 |
"type": "quiz",
|
| 9304 |
"qtype": "fill",
|
| 9305 |
-
"id": "flow-
|
| 9306 |
"prompt_runs": [
|
| 9307 |
{
|
| 9308 |
"text": "設定目標函數和約束條件：- 目標函數："
|
|
@@ -9326,7 +9326,7 @@
|
|
| 9326 |
"right_msg": "",
|
| 9327 |
"wrong_msg": "",
|
| 9328 |
"card": "0",
|
| 9329 |
-
"flow": "flow-
|
| 9330 |
"step": "step-1"
|
| 9331 |
},
|
| 9332 |
{
|
|
@@ -9357,7 +9357,7 @@
|
|
| 9357 |
{
|
| 9358 |
"type": "quiz",
|
| 9359 |
"qtype": "fill",
|
| 9360 |
-
"id": "flow-
|
| 9361 |
"prompt_runs": [],
|
| 9362 |
"answers": [
|
| 9363 |
"4*x+y=200"
|
|
@@ -9373,7 +9373,7 @@
|
|
| 9373 |
"right_msg": "",
|
| 9374 |
"wrong_msg": "",
|
| 9375 |
"card": "0",
|
| 9376 |
-
"flow": "flow-
|
| 9377 |
"step": "step-1"
|
| 9378 |
}
|
| 9379 |
],
|
|
@@ -9387,7 +9387,7 @@
|
|
| 9387 |
{
|
| 9388 |
"type": "quiz",
|
| 9389 |
"qtype": "choice",
|
| 9390 |
-
"id": "flow-
|
| 9391 |
"prompt_runs": [
|
| 9392 |
{
|
| 9393 |
"text": "由梯度方程得 "
|
|
@@ -9439,11 +9439,11 @@
|
|
| 9439 |
"wrong_hints": {},
|
| 9440 |
"card": "0",
|
| 9441 |
"answer": "b",
|
| 9442 |
-
"flow": "flow-
|
| 9443 |
"step": "step-2"
|
| 9444 |
}
|
| 9445 |
],
|
| 9446 |
-
"gate_from": "flow-
|
| 9447 |
},
|
| 9448 |
{
|
| 9449 |
"id": "step-3",
|
|
@@ -9453,7 +9453,7 @@
|
|
| 9453 |
{
|
| 9454 |
"type": "quiz",
|
| 9455 |
"qtype": "fill",
|
| 9456 |
-
"id": "flow-
|
| 9457 |
"prompt_runs": [
|
| 9458 |
{
|
| 9459 |
"text": "代入約束條件，求最佳組合："
|
|
@@ -9473,11 +9473,11 @@
|
|
| 9473 |
"right_msg": "",
|
| 9474 |
"wrong_msg": "",
|
| 9475 |
"card": "0",
|
| 9476 |
-
"flow": "flow-
|
| 9477 |
"step": "step-3"
|
| 9478 |
}
|
| 9479 |
],
|
| 9480 |
-
"gate_from": "flow-
|
| 9481 |
},
|
| 9482 |
{
|
| 9483 |
"id": "step-4",
|
|
@@ -9487,7 +9487,7 @@
|
|
| 9487 |
{
|
| 9488 |
"type": "quiz",
|
| 9489 |
"qtype": "fill",
|
| 9490 |
-
"id": "flow-
|
| 9491 |
"prompt_runs": [
|
| 9492 |
{
|
| 9493 |
"text": "代入目標函數，最大產量："
|
|
@@ -9507,11 +9507,11 @@
|
|
| 9507 |
"right_msg": "",
|
| 9508 |
"wrong_msg": "",
|
| 9509 |
"card": "0",
|
| 9510 |
-
"flow": "flow-
|
| 9511 |
"step": "step-4"
|
| 9512 |
}
|
| 9513 |
],
|
| 9514 |
-
"gate_from": "flow-
|
| 9515 |
}
|
| 9516 |
]
|
| 9517 |
}
|
|
@@ -9757,7 +9757,7 @@
|
|
| 9757 |
},
|
| 9758 |
{
|
| 9759 |
"type": "flow",
|
| 9760 |
-
"id": "flow-
|
| 9761 |
"persist": "",
|
| 9762 |
"steps": [
|
| 9763 |
{
|
|
@@ -9768,7 +9768,7 @@
|
|
| 9768 |
{
|
| 9769 |
"type": "quiz",
|
| 9770 |
"qtype": "choice",
|
| 9771 |
-
"id": "flow-
|
| 9772 |
"prompt_runs": [],
|
| 9773 |
"options": [
|
| 9774 |
{
|
|
@@ -9787,7 +9787,7 @@
|
|
| 9787 |
"wrong_hints": {},
|
| 9788 |
"card": "0",
|
| 9789 |
"answer": "b",
|
| 9790 |
-
"flow": "flow-
|
| 9791 |
"step": "step-1"
|
| 9792 |
}
|
| 9793 |
],
|
|
@@ -9838,7 +9838,7 @@
|
|
| 9838 |
]
|
| 9839 |
}
|
| 9840 |
],
|
| 9841 |
-
"gate_from": "flow-
|
| 9842 |
}
|
| 9843 |
]
|
| 9844 |
},
|
|
|
|
| 420 |
},
|
| 421 |
{
|
| 422 |
"type": "flow",
|
| 423 |
+
"id": "flow-34",
|
| 424 |
"persist": "",
|
| 425 |
"steps": [
|
| 426 |
{
|
|
|
|
| 431 |
{
|
| 432 |
"type": "quiz",
|
| 433 |
"qtype": "choice",
|
| 434 |
+
"id": "flow-34::step-1::q1",
|
| 435 |
"prompt_runs": [],
|
| 436 |
"options": [
|
| 437 |
{
|
|
|
|
| 450 |
"wrong_hints": {},
|
| 451 |
"card": "0",
|
| 452 |
"answer": "b",
|
| 453 |
+
"flow": "flow-34",
|
| 454 |
"step": "step-1"
|
| 455 |
}
|
| 456 |
],
|
|
|
|
| 523 |
]
|
| 524 |
}
|
| 525 |
],
|
| 526 |
+
"gate_from": "flow-34::step-1::q1"
|
| 527 |
}
|
| 528 |
]
|
| 529 |
},
|
|
|
|
| 1255 |
"body": [
|
| 1256 |
{
|
| 1257 |
"type": "flow",
|
| 1258 |
+
"id": "flow-35",
|
| 1259 |
"persist": "",
|
| 1260 |
"steps": [
|
| 1261 |
{
|
|
|
|
| 1307 |
{
|
| 1308 |
"type": "quiz",
|
| 1309 |
"qtype": "choice",
|
| 1310 |
+
"id": "flow-35::step-1::q1",
|
| 1311 |
"prompt_runs": [
|
| 1312 |
{
|
| 1313 |
"latex": "$x$",
|
|
|
|
| 1349 |
"wrong_hints": {},
|
| 1350 |
"card": "0",
|
| 1351 |
"answer": "a",
|
| 1352 |
+
"flow": "flow-35",
|
| 1353 |
"step": "step-1"
|
| 1354 |
}
|
| 1355 |
],
|
|
|
|
| 1363 |
{
|
| 1364 |
"type": "quiz",
|
| 1365 |
"qtype": "fill",
|
| 1366 |
+
"id": "flow-35::step-2::q2",
|
| 1367 |
"prompt_runs": [
|
| 1368 |
{
|
| 1369 |
"text": "代入 "
|
|
|
|
| 1404 |
"right_msg": "",
|
| 1405 |
"wrong_msg": "",
|
| 1406 |
"card": "0",
|
| 1407 |
+
"flow": "flow-35",
|
| 1408 |
"step": "step-2"
|
| 1409 |
}
|
| 1410 |
],
|
| 1411 |
+
"gate_from": "flow-35::step-1::q1"
|
| 1412 |
},
|
| 1413 |
{
|
| 1414 |
"id": "step-3",
|
|
|
|
| 1499 |
]
|
| 1500 |
}
|
| 1501 |
],
|
| 1502 |
+
"gate_from": "flow-35::step-2::q2"
|
| 1503 |
}
|
| 1504 |
]
|
| 1505 |
}
|
|
|
|
| 1956 |
"body": [
|
| 1957 |
{
|
| 1958 |
"type": "flow",
|
| 1959 |
+
"id": "flow-36",
|
| 1960 |
"persist": "",
|
| 1961 |
"steps": [
|
| 1962 |
{
|
|
|
|
| 1967 |
{
|
| 1968 |
"type": "quiz",
|
| 1969 |
"qtype": "fill",
|
| 1970 |
+
"id": "flow-36::step-1::q1",
|
| 1971 |
"prompt_runs": [
|
| 1972 |
{
|
| 1973 |
"latex": "$\\nabla f = \\langle f_x,f_y\\rangle =$",
|
|
|
|
| 1991 |
"right_msg": "",
|
| 1992 |
"wrong_msg": "",
|
| 1993 |
"card": "0",
|
| 1994 |
+
"flow": "flow-36",
|
| 1995 |
"step": "step-1"
|
| 1996 |
},
|
| 1997 |
{
|
|
|
|
| 2003 |
{
|
| 2004 |
"type": "quiz",
|
| 2005 |
"qtype": "fill",
|
| 2006 |
+
"id": "flow-36::step-1::q2",
|
| 2007 |
"prompt_runs": [
|
| 2008 |
{
|
| 2009 |
"latex": "$\\nabla g = \\langle g_x,g_y\\rangle =$",
|
|
|
|
| 2027 |
"right_msg": "",
|
| 2028 |
"wrong_msg": "",
|
| 2029 |
"card": "0",
|
| 2030 |
+
"flow": "flow-36",
|
| 2031 |
"step": "step-1"
|
| 2032 |
}
|
| 2033 |
],
|
|
|
|
| 2041 |
{
|
| 2042 |
"type": "quiz",
|
| 2043 |
"qtype": "fill",
|
| 2044 |
+
"id": "flow-36::step-2::q3",
|
| 2045 |
"prompt_runs": [
|
| 2046 |
{
|
| 2047 |
"text": "由 "
|
|
|
|
| 2086 |
"right_msg": "",
|
| 2087 |
"wrong_msg": "",
|
| 2088 |
"card": "0",
|
| 2089 |
+
"flow": "flow-36",
|
| 2090 |
"step": "step-2"
|
| 2091 |
}
|
| 2092 |
],
|
| 2093 |
+
"gate_from": "flow-36::step-1::q1"
|
| 2094 |
},
|
| 2095 |
{
|
| 2096 |
"id": "step-3",
|
|
|
|
| 2100 |
{
|
| 2101 |
"type": "quiz",
|
| 2102 |
"qtype": "fill",
|
| 2103 |
+
"id": "flow-36::step-3::q4",
|
| 2104 |
"prompt_runs": [
|
| 2105 |
{
|
| 2106 |
"text": "代入約束條件 "
|
|
|
|
| 2127 |
"right_msg": "",
|
| 2128 |
"wrong_msg": "",
|
| 2129 |
"card": "0",
|
| 2130 |
+
"flow": "flow-36",
|
| 2131 |
"step": "step-3"
|
| 2132 |
},
|
| 2133 |
{
|
|
|
|
| 2139 |
{
|
| 2140 |
"type": "quiz",
|
| 2141 |
"qtype": "fill",
|
| 2142 |
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| 8057 |
"qtype": "choice",
|
| 8058 |
+
"id": "flow-35::step-1::q1",
|
| 8059 |
"prompt_runs": [
|
| 8060 |
{
|
| 8061 |
"latex": "$x$",
|
|
|
|
| 8097 |
"wrong_hints": {},
|
| 8098 |
"card": "0",
|
| 8099 |
"answer": "a",
|
| 8100 |
+
"flow": "flow-35",
|
| 8101 |
"step": "step-1"
|
| 8102 |
}
|
| 8103 |
],
|
|
|
|
| 8111 |
{
|
| 8112 |
"type": "quiz",
|
| 8113 |
"qtype": "fill",
|
| 8114 |
+
"id": "flow-35::step-2::q2",
|
| 8115 |
"prompt_runs": [
|
| 8116 |
{
|
| 8117 |
"text": "代入 "
|
|
|
|
| 8152 |
"right_msg": "",
|
| 8153 |
"wrong_msg": "",
|
| 8154 |
"card": "0",
|
| 8155 |
+
"flow": "flow-35",
|
| 8156 |
"step": "step-2"
|
| 8157 |
}
|
| 8158 |
],
|
| 8159 |
+
"gate_from": "flow-35::step-1::q1"
|
| 8160 |
},
|
| 8161 |
{
|
| 8162 |
"id": "step-3",
|
|
|
|
| 8247 |
]
|
| 8248 |
}
|
| 8249 |
],
|
| 8250 |
+
"gate_from": "flow-35::step-2::q2"
|
| 8251 |
}
|
| 8252 |
]
|
| 8253 |
}
|
|
|
|
| 8704 |
"body": [
|
| 8705 |
{
|
| 8706 |
"type": "flow",
|
| 8707 |
+
"id": "flow-36",
|
| 8708 |
"persist": "",
|
| 8709 |
"steps": [
|
| 8710 |
{
|
|
|
|
| 8715 |
{
|
| 8716 |
"type": "quiz",
|
| 8717 |
"qtype": "fill",
|
| 8718 |
+
"id": "flow-36::step-1::q1",
|
| 8719 |
"prompt_runs": [
|
| 8720 |
{
|
| 8721 |
"latex": "$\\nabla f = \\langle f_x,f_y\\rangle =$",
|
|
|
|
| 8739 |
"right_msg": "",
|
| 8740 |
"wrong_msg": "",
|
| 8741 |
"card": "0",
|
| 8742 |
+
"flow": "flow-36",
|
| 8743 |
"step": "step-1"
|
| 8744 |
},
|
| 8745 |
{
|
|
|
|
| 8751 |
{
|
| 8752 |
"type": "quiz",
|
| 8753 |
"qtype": "fill",
|
| 8754 |
+
"id": "flow-36::step-1::q2",
|
| 8755 |
"prompt_runs": [
|
| 8756 |
{
|
| 8757 |
"latex": "$\\nabla g = \\langle g_x,g_y\\rangle =$",
|
|
|
|
| 8775 |
"right_msg": "",
|
| 8776 |
"wrong_msg": "",
|
| 8777 |
"card": "0",
|
| 8778 |
+
"flow": "flow-36",
|
| 8779 |
"step": "step-1"
|
| 8780 |
}
|
| 8781 |
],
|
|
|
|
| 8789 |
{
|
| 8790 |
"type": "quiz",
|
| 8791 |
"qtype": "fill",
|
| 8792 |
+
"id": "flow-36::step-2::q3",
|
| 8793 |
"prompt_runs": [
|
| 8794 |
{
|
| 8795 |
"text": "由 "
|
|
|
|
| 8834 |
"right_msg": "",
|
| 8835 |
"wrong_msg": "",
|
| 8836 |
"card": "0",
|
| 8837 |
+
"flow": "flow-36",
|
| 8838 |
"step": "step-2"
|
| 8839 |
}
|
| 8840 |
],
|
| 8841 |
+
"gate_from": "flow-36::step-1::q1"
|
| 8842 |
},
|
| 8843 |
{
|
| 8844 |
"id": "step-3",
|
|
|
|
| 8848 |
{
|
| 8849 |
"type": "quiz",
|
| 8850 |
"qtype": "fill",
|
| 8851 |
+
"id": "flow-36::step-3::q4",
|
| 8852 |
"prompt_runs": [
|
| 8853 |
{
|
| 8854 |
"text": "代入約束條件 "
|
|
|
|
| 8875 |
"right_msg": "",
|
| 8876 |
"wrong_msg": "",
|
| 8877 |
"card": "0",
|
| 8878 |
+
"flow": "flow-36",
|
| 8879 |
"step": "step-3"
|
| 8880 |
},
|
| 8881 |
{
|
|
|
|
| 8887 |
{
|
| 8888 |
"type": "quiz",
|
| 8889 |
"qtype": "fill",
|
| 8890 |
+
"id": "flow-36::step-3::q5",
|
| 8891 |
"prompt_runs": [
|
| 8892 |
{
|
| 8893 |
"latex": "$\\lambda = ?$",
|
|
|
|
| 8908 |
"right_msg": "",
|
| 8909 |
"wrong_msg": "",
|
| 8910 |
"card": "0",
|
| 8911 |
+
"flow": "flow-36",
|
| 8912 |
"step": "step-3"
|
| 8913 |
}
|
| 8914 |
],
|
| 8915 |
+
"gate_from": "flow-36::step-2::q3"
|
| 8916 |
}
|
| 8917 |
]
|
| 8918 |
}
|
|
|
|
| 9291 |
"body": [
|
| 9292 |
{
|
| 9293 |
"type": "flow",
|
| 9294 |
+
"id": "flow-37",
|
| 9295 |
"persist": "",
|
| 9296 |
"steps": [
|
| 9297 |
{
|
|
|
|
| 9302 |
{
|
| 9303 |
"type": "quiz",
|
| 9304 |
"qtype": "fill",
|
| 9305 |
+
"id": "flow-37::step-1::q1",
|
| 9306 |
"prompt_runs": [
|
| 9307 |
{
|
| 9308 |
"text": "設定目標函數和約束條件：- 目標函數："
|
|
|
|
| 9326 |
"right_msg": "",
|
| 9327 |
"wrong_msg": "",
|
| 9328 |
"card": "0",
|
| 9329 |
+
"flow": "flow-37",
|
| 9330 |
"step": "step-1"
|
| 9331 |
},
|
| 9332 |
{
|
|
|
|
| 9357 |
{
|
| 9358 |
"type": "quiz",
|
| 9359 |
"qtype": "fill",
|
| 9360 |
+
"id": "flow-37::step-1::q2",
|
| 9361 |
"prompt_runs": [],
|
| 9362 |
"answers": [
|
| 9363 |
"4*x+y=200"
|
|
|
|
| 9373 |
"right_msg": "",
|
| 9374 |
"wrong_msg": "",
|
| 9375 |
"card": "0",
|
| 9376 |
+
"flow": "flow-37",
|
| 9377 |
"step": "step-1"
|
| 9378 |
}
|
| 9379 |
],
|
|
|
|
| 9387 |
{
|
| 9388 |
"type": "quiz",
|
| 9389 |
"qtype": "choice",
|
| 9390 |
+
"id": "flow-37::step-2::q3",
|
| 9391 |
"prompt_runs": [
|
| 9392 |
{
|
| 9393 |
"text": "由梯度方程得 "
|
|
|
|
| 9439 |
"wrong_hints": {},
|
| 9440 |
"card": "0",
|
| 9441 |
"answer": "b",
|
| 9442 |
+
"flow": "flow-37",
|
| 9443 |
"step": "step-2"
|
| 9444 |
}
|
| 9445 |
],
|
| 9446 |
+
"gate_from": "flow-37::step-1::q1"
|
| 9447 |
},
|
| 9448 |
{
|
| 9449 |
"id": "step-3",
|
|
|
|
| 9453 |
{
|
| 9454 |
"type": "quiz",
|
| 9455 |
"qtype": "fill",
|
| 9456 |
+
"id": "flow-37::step-3::q4",
|
| 9457 |
"prompt_runs": [
|
| 9458 |
{
|
| 9459 |
"text": "代入約束條件，求最佳組合："
|
|
|
|
| 9473 |
"right_msg": "",
|
| 9474 |
"wrong_msg": "",
|
| 9475 |
"card": "0",
|
| 9476 |
+
"flow": "flow-37",
|
| 9477 |
"step": "step-3"
|
| 9478 |
}
|
| 9479 |
],
|
| 9480 |
+
"gate_from": "flow-37::step-2::q3"
|
| 9481 |
},
|
| 9482 |
{
|
| 9483 |
"id": "step-4",
|
|
|
|
| 9487 |
{
|
| 9488 |
"type": "quiz",
|
| 9489 |
"qtype": "fill",
|
| 9490 |
+
"id": "flow-37::step-4::q5",
|
| 9491 |
"prompt_runs": [
|
| 9492 |
{
|
| 9493 |
"text": "代入目標函數，最大產量："
|
|
|
|
| 9507 |
"right_msg": "",
|
| 9508 |
"wrong_msg": "",
|
| 9509 |
"card": "0",
|
| 9510 |
+
"flow": "flow-37",
|
| 9511 |
"step": "step-4"
|
| 9512 |
}
|
| 9513 |
],
|
| 9514 |
+
"gate_from": "flow-37::step-3::q4"
|
| 9515 |
}
|
| 9516 |
]
|
| 9517 |
}
|
|
|
|
| 9757 |
},
|
| 9758 |
{
|
| 9759 |
"type": "flow",
|
| 9760 |
+
"id": "flow-38",
|
| 9761 |
"persist": "",
|
| 9762 |
"steps": [
|
| 9763 |
{
|
|
|
|
| 9768 |
{
|
| 9769 |
"type": "quiz",
|
| 9770 |
"qtype": "choice",
|
| 9771 |
+
"id": "flow-38::step-1::q1",
|
| 9772 |
"prompt_runs": [],
|
| 9773 |
"options": [
|
| 9774 |
{
|
|
|
|
| 9787 |
"wrong_hints": {},
|
| 9788 |
"card": "0",
|
| 9789 |
"answer": "b",
|
| 9790 |
+
"flow": "flow-38",
|
| 9791 |
"step": "step-1"
|
| 9792 |
}
|
| 9793 |
],
|
|
|
|
| 9838 |
]
|
| 9839 |
}
|
| 9840 |
],
|
| 9841 |
+
"gate_from": "flow-38::step-1::q1"
|
| 9842 |
}
|
| 9843 |
]
|
| 9844 |
},
|
pages/home.py
CHANGED
|
@@ -12,39 +12,32 @@ dash.register_page(__name__, path='/', title ="玩轉微積：首頁")
|
|
| 12 |
# titles = [ "網站成立理念", "微積分的重要性", "豐富的線上資源", "這個網站的特色", "製作團隊與期許" ]
|
| 13 |
titles = [
|
| 14 |
{"label": "網站成立理念", "id": "title_1"},
|
| 15 |
-
{"label": "微積分的
|
| 16 |
-
{"label": "
|
| 17 |
{"label": "這個網站的特色", "id": "title_4"},
|
| 18 |
{"label": "製作團隊與期許", "id": "title_5"},
|
| 19 |
]
|
| 20 |
|
| 21 |
texts = [
|
| 22 |
################
|
| 23 |
-
'''
|
| 24 |
###############
|
| 25 |
-
'''微積分
|
| 26 |
-
幾乎所有大學的理工、商管科系以至於技職體系等，皆將其列為必修課程，其重要性不言可喻。
|
| 27 |
-
更進一步的說，這門學問凝聚了千百年來人類對**「無窮」**的思考與建構，包含了**「無窮小」**、**「無窮大」**、**「無窮逼近」**、**「無窮分割」**、
|
| 28 |
-
**「無窮累加」**等。
|
| 29 |
-
早在古希臘時，阿基米德便開始思索如何利用窮盡法估量拋物線長度、圓周長、圓面積等，他的方法與思想被紀錄在《方法論》手稿中。
|
| 30 |
-
中世紀英國的牛頓與萊布尼茲，將這些思想以更有結構、張力的方式敘述，開創微積分理論，奠定了近代科學與工程發展的基石。''',
|
| 31 |
################
|
| 32 |
-
'''隨著網路與
|
| 33 |
-
無論是開放式課程（Open Course Ware）、磨課師（MOOCs）、或是利用 GeoGebra、Desmos 等工具製作的互動工具，都為學生提供了多元的學習管道。
|
| 34 |
-
近年來也有許多延展實境（XR）與動畫模擬資源，讓抽象的微積分概念更具體直觀。''',
|
| 35 |
################
|
| 36 |
'''
|
| 37 |
-
|
| 38 |
-
透過設計的互動元件，學習者能更直觀地理解每個主題，並在探索中產生「驚喜」與「共鳴」。
|
| 39 |
-
我們也導入 GPT 技術，讓使用者在答題錯誤時能即時獲得引導與解析，因為我們深信：從錯中學習，是有效學習的重要途徑。
|
| 40 |
''',
|
| 41 |
################
|
| 42 |
'''
|
| 43 |
-
本網站由國立高雄大學應用數學系師生共同開發。初期參與成員包含教師梁育豪、碩士班學生賴竹盈
|
| 44 |
-
|
| 45 |
-
|
|
|
|
|
|
|
| 46 |
'''
|
| 47 |
-
|
| 48 |
|
| 49 |
|
| 50 |
import re
|
|
|
|
| 12 |
# titles = [ "網站成立理念", "微積分的重要性", "豐富的線上資源", "這個網站的特色", "製作團隊與期許" ]
|
| 13 |
titles = [
|
| 14 |
{"label": "網站成立理念", "id": "title_1"},
|
| 15 |
+
{"label": "微積分學習的挑戰", "id": "title_2"},
|
| 16 |
+
{"label": "數位學習資源的發展", "id": "title_3"},
|
| 17 |
{"label": "這個網站的特色", "id": "title_4"},
|
| 18 |
{"label": "製作團隊與期許", "id": "title_5"},
|
| 19 |
]
|
| 20 |
|
| 21 |
texts = [
|
| 22 |
################
|
| 23 |
+
'''本平台的設計起點，來自於微積分學習過程中常見的困難：學生不只需要理解公式與計算方法，也需要看懂圖形、掌握幾何意義，並在練習過程中獲得適當的提示與回饋。因此，我們希望建置一個整合教材閱讀、互動作答、圖形視覺化與 AI 輔助的微積分學習平台，讓學生能在同一個學習流程中進行觀察、操作、作答與修正。''',
|
| 24 |
###############
|
| 25 |
+
'''微積分是理工、資訊、商管與相關領域的重要基礎課程，許多後續課程與應用問題都需要使用微積分中的概念。然而，微積分的學習困難往往不只在於計算本身，也包含概念理解與表徵轉換。例如，學生需要將文字敘述、代數公式、函數圖形與幾何意義連結起來，才能真正理解導數、積分、方向導數、梯度與多變數函數等內容。尤其在多變數微積分中，學習者還需要理解平面、曲面、方向變化與空間關係，若只依靠靜態文字或單純公式推導，容易造成學習上的斷裂與困惑。''',
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 26 |
################
|
| 27 |
+
'''隨著網路與數位教學資源的發展，微積分的學習方式已不再侷限於課堂講授。目前已有開放式課程、磨課師平台、教學影片、互動題目平台，以及 GeoGebra、Desmos 等圖形工具，能從不同面向輔助學生學習。這些資源各有特色，有些偏重完整課程與影片講解，有些強調互動練習，也有些主要提供圖形視覺化輔助。不過，學生在實際學習時，往往需要在教材、圖形、題目與回饋之間來回切換。若這些功能分散在不同平台或頁面中，學習流程容易被中斷，也較不容易形成連續的概念建構。''',
|
|
|
|
|
|
|
| 28 |
################
|
| 29 |
'''
|
| 30 |
+
本網站的特色，是將**教材內容**、**互動作答**、**圖形視覺化**與**生成式 AI 輔助**整合在同一個學習環境中。學生可以在閱讀教材的同時操作圖形，透過互動題目檢查自己的理解，並在作答錯誤或概念不清楚時取得提示與補充說明。平台也結合 GeoGebra 等動態視覺化工具，協助學生觀察函數圖形、方向導數、梯度向量與空間曲面等抽象概念。AI 輔助的設計並不是直接提供答案，而是希望在學生遇到困難時給予引導，協助學生檢視可能的錯誤想法，並回到概念本身重新思考。透過這樣的設計，我們希望讓微積分不只是紙上的公式，而是可以被操作、觀察與修正的學習內容���
|
|
|
|
|
|
|
| 31 |
''',
|
| 32 |
################
|
| 33 |
'''
|
| 34 |
+
本網站由國立高雄大學應用數學系師生共同設計與開發。初期參與成員包含教師梁育豪、碩士班學生賴竹盈與大學部學生陳筠潔。開發過程中，我們希望平台不只是單純呈現教材內容，而是能讓學生在閱讀、觀察、操作、作答與修正的過程中，逐步建立對微積分概念的理解。
|
| 35 |
+
|
| 36 |
+
在學生端，本平台期望提供一個更具連續性的學習環境，使學生能在同一頁面中閱讀教材、操作圖形、完成互動題目，並在需要時取得提示與回饋。在教師端，本平台則希望降低互動式教材建置的技術門檻，使教師能以較簡便的方式編寫、修改與維護教材內容。
|
| 37 |
+
|
| 38 |
+
本平台目前仍處於持續發展階段，未來將持續改善數學式輸入、互動題目判定、圖形操作引導、AI 提示回饋與學習紀錄呈現等功能，期望逐步成為兼具教材呈現、互動練習、視覺化理解與教學回饋的微積分學習平台。
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| 39 |
'''
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+
]
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| 42 |
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| 43 |
import re
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中文.tex
ADDED
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+
\usepackage{amsmath,amssymb}
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| 2 |
+
\usepackage{xcolor}
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\usepackage{xeCJK}
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\usepackage{fontspec}
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+
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\setCJKmainfont[
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| 7 |
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Path = C:/LaTeXFonts/,
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UprightFont = TaipeiSansTCBeta-Regular.ttf
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| 9 |
+
]{TaipeiSansTCBeta-Regular}
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+
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| 11 |
+
\pagestyle{empty}
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