Create app.py

app.py

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+import gradio as gr
+import re
+
+# 题目列表
+questions = [
+    "1. 37^(-42)=",
+    "2. lim_{x→0} x³/(tanx - x)=",
+    "3. cos x = x 的实根为 x=",
+    "4. f(x)=(x-1)e^(x+1)+√(2x)+1/x-ln²x 的最小值为",
+    "5. f(x)=x/6 + sinx/x 的极值点数量为",
+    "6. y=(x-e)e^x+ln²(x+1)-√(x+1) 在(0,e1)处的切线在x轴上的截距为",
+    "7. 点(1, 0)关于直线5x-2y+3=0的对称点为",
+    "8. (2+3i)^7的虚部为",
+    "9. arg(3+7i)/(9-4i)=(弧度制)",
+    "10. 5!11! mod 998244353=",
+    "11. C₃₇¹⁵=",
+    "12. (x+2)^5除以x²+x+1的商(忽略余式)为",
+    "13. 设f(x)=x⁴e^(x²)则f^(4)(x)/e^(x²)展开后x⁴的系数为",
+    "14. 102233201和123456789的最大公约数为",
+    "15. 2025的所有因数之和为",
+    "16. ∑_{n=1}^∞ n^(-n)=",
+    "17. ∫₀¹x^(-x)dx=",
+    "18. ∑_{n=1}^{25}∏_{k=1}^n(1+1/k²)=",
+    "19. (11,45,14)×(19,198,10)=",
+    "20. 以(−2,−1,−1),(−1,1,3),(2,−4,1),(2,2,0)为顶点的四面体的体积为",
+    "21. 点(1,0)到y=arctanx的距离为",
+    "22. 5¹²+8¹²的所有质因数之和为",
+    "23. 因式分解:x⁵-6x⁴+12x³-8x²-7x-1=",
+    "24. 因式分解:a³b-3a³+a²b²+2ab²-6ab+2b³=",
+    "25. √1,√2,√3,…,√2025的方差为",
+    "26. 过(−2,−1),(−1,1),(0,2),(1,−2),(3,0)的二次曲线的离心率为",
+    "27. x³-3x-5=0的复数根的实部为",
+    "28. 已知六点(−2,−27),(−1,13),(0,5),(1,3),(2,−11),(3,−7),用最小二乘法拟合直线的相关系数为",
+    "29. 以(−1,−1),(0,5),(6,2)为顶点的三角形外接圆半径为 其垂心坐标为",
+    "30. (x+2)^4(3x²-5)(x²-6x-1)的展开式中x⁴的系数为",
+    "31. 设X~N(0,0.5²),则P(-0.2≤X≤0.3)=",
+    "32. 曲线y=2^x-x²(x∈[-2,4])的长度为",
+    "33. 椭圆x²/5+y²/2=1的周长为",
+    "34. 曲线ρ=1-sinθ在点(1,0)处的曲率为",
+    "35. 曲线2x²+y²-5y+4=0和x²+2xy-3y²-2=0的所有公切线斜率之积为",
+    "36. (13579 BD)₁₅转换为10进制是",
+    "37. f(x)=1/(1-x-x²)在x=0处的泰勒展开的前6项为",
+    "38. [2025,5202]中的质数数量为",
+    "39. 已知a₁=2，aₙ₊₁=aₙ-1/aₙ，则a₂₀₂₅=",
+    "40. 已知a₁=2，a₂=3，aₙ₊₂=aₙ₊₁-1/aₙ，则a₂₀₂₅=",
+    "41. 冰雹猜想:从27开始，迭代得到1的最少次数为",
+    "42. 已知a₁=0，a₂=1，aₙ₊₂=(n+1)(aₙ+aₙ₊₁)，则a₄₀₉₆ mod 998244353=",
+    "43. 已知f²(x)f'(x)=xe^x，f(2)=3，则f(0)=",
+    "44. 已知某分子和分母均小于1000的分数约等于0.294663573085847，则该分数为",
+    "45. 满足2ⁿ中不出现重复数字的最大正整数n为",
+    "46. 已知a^a+b^b+c^c+d^d=abcd(abcd为1~9的正整数)，则abcd=",
+    "47. 100! mod 998244353=",
+    "48. √(eπ)小数点后第37位是",
+    "49. 已知f''(x)=2f(x)+x，f(0)=2，f'(0)=-1/2，则f(1)=",
+    "50. 3^(4^5)的各位数字之和为"
+]
+
+# 答案列表（已按题目顺序整理并统一格式）
+answers = [
+    "1.3662e-66",        # 1
+    "3",                  # 2
+    "0.73909",            # 3
+    "0.08027",            # 4
+    "4",                  # 5
+    "-1.6762",            # 6
+    "(-1.7586,1.1034)",   # 7
+    "4449",               # 8
+    "1.5841",             # 9
+    "797038588",          # 10
+    "9364199760",         # 11
+    "x³+9x²+30x+41",      # 12
+    "492",                # 13
+    "3607",               # 14
+    "3751",               # 15
+    "1.2913",             # 16
+    "1.2913",             # 17
+    "81.672",             # 18
+    "(-2322,156,1323)",   # 19
+    "15.833",             # 20
+    "0.67234",            # 21
+    "12691",              # 22
+    "(x²-3x-1)(x³-3x²+4x+1)",  # 23
+    "(a²+2b)(ab-3a+b²)",  # 24
+    "112.34",             # 25
+    "0.84984",            # 26
+    "-1.1395",            # 27
+    "0.09798",            # 28
+    "3.9841 (0.92308,2.8462)",  # 29
+    "-475",               # 30
+    "0.38117",            # 31
+    "10.750",             # 32
+    "11.613",             # 33
+    "1.0607",             # 34
+    "176",                # 35
+    "13947703",           # 36
+    "1+x+2x²+3x³+5x⁴+8x⁵", # 37
+    "386",                # 38
+    "-35.709",            # 39
+    "-125.93",            # 40
+    "111",                # 41
+    "641190802",          # 42
+    "1.2238",             # 43
+    "127/431",            # 44
+    "29",                 # 45
+    "3435",               # 46
+    "35305197",           # 47
+    "3",                  # 48
+    "3.8564",             # 49
+    "2250"                # 50
+]
+
+def verify_answers(*user_answers):
+    """验证用户答案并返回评分结果"""
+    results = []
+    score = 0
+    for idx, (user_ans, correct_ans) in enumerate(zip(user_answers, answers)):
+        is_correct = False
+        user_ans = str(user_ans).strip()
+        
+        # 数值型答案验证（保留五位有效数字）
+        if re.match(r'^-?\d+\.\d+e?-?\d*$', correct_ans) or re.match(r'^-?\d+\.\d+$', correct_ans):
+            try:
+                # 统一科学计数法格式
+                user_num = float(user_ans.replace('×10^', 'e').replace('^', 'e'))
+                correct_num = float(correct_ans.replace('×10^', 'e').replace('^', 'e'))
+                # 计算有效数字位数
+                sig_figs = 5 - (0 if correct_num == 0 else len(str(int(abs(correct_num)))))
+                user_rounded = round(user_num, sig_figs) if sig_figs > 0 else int(round(user_num))
+                correct_rounded = round(correct_num, sig_figs) if sig_figs > 0 else int(round(correct_num))
+                is_correct = abs(user_rounded - correct_rounded) < 1e-4
+            except:
+                pass
+        
+        # 整数答案验证
+        elif correct_ans.isdigit() and user_ans.isdigit():
+            is_correct = user_ans == correct_ans
+        
+        # 向量/坐标答案验证（忽略空格和中英文符号）
+        elif correct_ans.startswith('(') and correct_ans.endswith(')'):
+            user_clean = user_ans.replace(' ', '').replace('，', ',').lower()
+            correct_clean = correct_ans.replace(' ', '').replace('，', ',').lower()
+            is_correct = user_clean == correct_clean
+        
+        # 多项式/因式分解答案验证（忽略空格和次方符号）
+        elif 'x' in correct_ans:
+            user_clean = user_ans.replace(' ', '').replace('^', '').lower()
+            correct_clean = correct_ans.replace(' ', '').replace('^', '').lower()
+            is_correct = user_clean == correct_clean
+        
+        # 分数答案验证
+        elif '/' in correct_ans:
+            is_correct = user_ans == correct_ans
+        
+        # 纯文本答案验证
+        else:
+            is_correct = user_ans == correct_ans
+        
+        # 生成结果反馈
+        if is_correct:
+            results.append(f"✅ 题目 {idx+1} 正确！")
+            score += 1
+        else:
+            results.append(f"❌ 题目 {idx+1} 错误，正确答案：{correct_ans}")
+    
+    results.append(f"------------------------\n总分：{score}/{len(questions)}")
+    return "\n".join(results)
+
+# 创建Gradio界面
+with gr.Blocks(title="GeoGebra数学测试题", theme=gr.themes.Soft()) as app:
+    gr.Markdown("# GeoGebra数学应用能力测试")
+    gr.Markdown("### 说明：非整数答案请保留五位有效数字，直接输入数字或表达式")
+    
+    # 动态生成题目输入框
+    input_components = []
+    with gr.Column():
+        for idx, q in enumerate(questions):
+            with gr.Row():
+                gr.Markdown(f"**{idx+1}. {q}**")
+                input_box = gr.Textbox(
+                    label=f"题目 {idx+1} 答案",
+                    placeholder="在此输入答案...",
+                    container=False
+                )
+                input_components.append(input_box)
+    
+    # 提交按钮与结果显示
+    gr.Markdown("---")
+    with gr.Row():
+        submit_btn = gr.Button("提交答案", variant="primary")
+        clear_btn = gr.Button("清空答案")
+    result_display = gr.Textbox(
+        label="答题结果",
+        lines=15,
+        placeholder="提交后将在此显示每道题的对错及总分..."
+    )
+    
+    # 绑定事件
+    submit_btn.click(
+        fn=verify_answers,
+        inputs=input_components,
+        outputs=result_display
+    )
+    clear_btn.click(
+        fn=lambda: [""]*len(input_components),
+        inputs=None,
+        outputs=input_components
+    )
+
+# 启动应用
+if __name__ == "__main__":
+    app.launch()