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<image>
The diagram shows a model of a reflex arc. To verify that a certain drug can only block the transmission of excitation between neurons, but cannot block the conduction of excitation along nerve fibers, which of the following experimental operations is not necessary? ( )
A. Without the drug, stimulate at point $$B$$ and observe the phenomenon
B. Place the drug at point $$A$$, stimulate at point $$B$$, and observe the phenomenon
C. Place the drug at point $$B$$, stimulate at point $$C$$, and observe the phenomenon
D. Place the drug at point $$C$$, stimulate at point $$B$$, and observe the phenomenon
|
\boxed{C}
|
(GradeSchool) Science
|
MMK12
|
MMK12-8e050eb9-e277-4843-96f7-456aaf25107f
| 0.5
| -1
|
|
<image>As shown in the figure, in △ABC, ∠C = 90°, point D is on side BC, DE ∥ AB. If ∠CDE = 150°, then the measure of ∠A is ()
A. 30°
B. 60°
C. 120°
D. 150°
|
\boxed{B}
|
(GradeSchool) Geometric
|
geoqa_plus
|
geoqa_plus-6528
| 1
| 0.078125
|
|
<image>
As shown in the figure, the vertices A and D of a square ABCD with side length 1 move along the positive x-axis and y-axis, respectively. What is the maximum value of \(\overrightarrow{OB} \cdot \overrightarrow{OC}\)?
|
\boxed{2}
|
(GradeSchool) Non-Geo Math
|
MMK12
|
MMK12-3deadcb6-b33b-4141-9300-32e0c8d8d21d
| 0.125
| -1
|
|
<image>
Are all the green shapes identical in size and shape?
|
\boxed{Yes}
|
Spatial Reasoning
|
Processed
|
Processed-e4cca701-21ba-49d8-af7c-dfa3ba014d71
| 0.875
| -1
|
|
<image>In a donation activity, all 50 students in a class contributed their pocket money. Donations were made in denominations of 5 yuan, 10 yuan, 20 yuan, 50 yuan, and 100 yuan. The statistical chart shown reflects the proportion of people who donated different amounts. What is the average donation per student?
|
\boxed{31.2}
|
(GradeSchool) Non-Geo Math
|
K12
|
K12-3493
| 1
| 0.96875
|
|
<image>
Is there any overlap between Deep Sky Blue and Deep Pink points on the graph?
|
\boxed{No}
|
Tables/Diagrams/Charts
|
Processed
|
Processed-5e2ecda8-a850-4297-9915-0d213d8f9c93
| 0.875
| -1
|
|
<image>As shown in the figure, in rectangle ABCD, diagonals AC and BD intersect at point O. If ∠BOC = 120°, AC = 8, the length of AB is ( )
A. 6
B. 4
C. 4√3
D. 4√2
|
\boxed{B}
|
(GradeSchool) Geometric
|
geoqa_plus
|
geoqa_plus-1528
| 0.75
| -1
|
|
<image>
As shown in the figure, the graph in the first quadrant is a branch of the inverse proportion function $$y=\dfrac{1}{x}$$, and the graph in the second quadrant is a branch of the inverse proportion function $$y=-\dfrac{2}{x}$$. There is a line $$l$$ parallel to the $$x$$-axis above the $$x$$-axis, intersecting these graphs at points $$A$$ and $$B$$, respectively. Perpendiculars are drawn from points $$A$$ and $$B$$ to the $$x$$-axis, with the feet of these perpendiculars being points $$C$$ and $$D$$, respectively. If the perimeter of quadrilateral $$ACDB$$ is $$8$$, and $$AB < AC$$, then the coordinates of point $$A$$ are ___.
|
\boxed{\left(\dfrac{1}{3},3\right)}
|
(GradeSchool) Non-Geo Math
|
MMK12
|
MMK12-d635b8cd-944f-4148-a725-2c38cec4725c
| 1
| -1
|
|
<image>/n<image>/n<image>/nBased on the given images, answer the following question.
On World Environment Day (June 5th), the school organized an environmental protection knowledge quiz. A sample of students' scores was randomly selected and categorized into four levels: 'Excellent', 'Good', 'Pass', and 'Fail'. An incomplete statistical chart was created based on these categories. Based on the information provided in the statistical chart, answer the following question:
Score Statistics Table
| Level | Frequency | Frequency Rate |
| :---: | :---: | :---: |
| Excellent | 30 | $a$ |
| Good | $b$ | 0.45 |
| Pass | 24 | 0.20 |
| Fail | 12 | 0.10 |
| Total | $c$ | 1 |
Score Bar Graph
<ImageHere>
(1) In the table, $a=$ , $b=$ , $c=$ .
|
\boxed{0.25, 54, 120}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-2ae1643c-00ce-4dd3-813c-1d02ecc60eef
| 1
| 1
|
|
<image>/nBased on the given images, answer the following question.
Standing on a small island at a height of $h$ meters above sea level, you observe a ship to the due east with a depression angle of $30^{\circ}$ and another ship to the due south with a depression angle of $45^{\circ}$. What is the distance between the two ships? (Please choose from the options below): A. $2h$ meters B. $\sqrt{2}h$ meters C. $\sqrt{3}h$ meters D. $2\sqrt{2}h$ meters
|
\boxed{A}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-9d0c8609-528b-46ef-b679-47090e08920e
| 1
| 0.375
|
|
<image>/nBased on the given images, answer the following question.
Execute the following program, what is the output?
|
\boxed{11}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-9b01f47f-103a-4c18-b526-5a6c29d8252a
| 1
| 1
|
|
The below problem is with the following images:
<image>
As shown in the figure, a set of parallel lines ${{l}_{1}}//{{l}_{2}}//{{l}_{3}}$, intersect line $a$ at points $A$, $B$, $C$ and intersect line $b$ at points $D$, $E$, $F$. Given that $AB:BC=2:3$ and $DF=15$, find the length of $EF$.
|
\boxed{9}
|
(GradeSchool) Geometric
|
MMK12Converted
|
MMK12Converted-8d37d842-8453-409d-b47d-6172d9b5997f
| 1
| 0.75
|
|
<image>
How many schools have more than 40 classrooms?
|
\boxed{9}
|
Tables/Diagrams/Charts
|
Processed
|
Processed-31e8ea80-b59d-461f-baf6-0a189e7e6f75
| 0.375
| -1
|
|
<image>
A cart is pulled along a horizontal surface at a constant speed using a pulley system as shown in the figure. The weight of the cart is $G=\text{10N}$, and the force applied is $F=\text{15N}$. The mechanical efficiency of the system is 60%. What is the frictional force between the cart and the ground?
A. 27N
B. 36N
C. 18N
D. 270N
|
\boxed{A}
|
(GradeSchool) Science
|
MMK12
|
MMK12-b8d4ab43-e10a-451d-98ea-9a4e46087ba7
| 0.625
| -1
|
|
<image>Which graph indicates that the input signal has no power? Choose from the following options
A. Top row, far left graph.
B. Top row, second from the left graph.
C. Bottom row, second from the right graph.
D. Bottom row, far right graph.
## For Figure b) (entire set):
Answer with the option's letter from the given choices directly.
|
\boxed{A}
|
(GradeSchool) Science
|
Processed
|
Processed-cecb10cf-1dc3-4e8f-ae69-908b62192687
| 1
| 0.875
|
|
As shown in the figure, in quadrilateral $ABCD$, $E$ and $F$ are the midpoints of $AB$ and $AD$ respectively. If $EF=2$, $BC=5$, and $CD=3$, then what is the value of $\sin C$?
<image>
|
\boxed{\frac{4}{5}}
|
(GradeSchool) Non-Geo Math
|
MMMath
|
MMMath-358
| 0.875
| -1
|
|
<image>
As shown in the figure, two isosceles right triangles with leg lengths of $$\quantity{23}{cm}$$ are cut out from a square with side length $$\quantity{25}{cm}$$. If particles are uniformly scattered over the square, the probability that a particle lands in the middle strip region is ___.
|
\boxed{\dfrac{96}{625}}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-0a03de84-1e87-4de9-86bf-e45ed6365ed4
| 0.875
| -1
|
|
<image>Based on the progression of the figures, what can be inferred about the system being studied? Choose from the following options
A. The system is moving towards a state of equilibrium.
B. The system is experiencing increasing fluctuation over time.
C. The system is under periodic external influence.
D. The system is undergoing a phase transition.
Return just the letter that identifies the correct answer.
|
\boxed{A}
|
Broader STEM Topics
|
Processed
|
Processed-3ab7f0f5-54e0-4b0b-80bd-68b0289bdb48
| 0.125
| -1
|
|
<image>Return just the letter that identifies the correct answer.
Based on part (b) of the figure, what can be inferred about the relationship between the idler and the signal frequencies? Choose from the following options
A. The idler frequency is half of the signal frequency.
B. The idler frequency is up-converted from the signal frequency.
C. The idler and signal frequencies are unrelated.
D. The idler frequency is the same as the signal frequency.
|
\boxed{B}
|
(GradeSchool) Science
|
Processed
|
Processed-e4cf073b-75ff-4801-9b07-d88153cbb981
| 1
| 1
|
|
<image>/nBased on the given images, answer the following question.
Due to the influence of a typhoon, a tree breaks at a point 6 meters above the ground. The top of the tree falls to a point 8 meters from the base of the trunk. What was the length of the tree before it broke (excluding the roots)?
|
\boxed{16}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-6c0b36de-1262-4685-b7ea-f81f609f902b
| 1
| 0.375
|
|
<image>
Which elements are unique to set B?
A: [4, 13]
B: [2, 5, 7, 10, 16, 19]
C: [1, 8, 14, 17]
D: [2, 4, 5, 7, 10, 13, 16, 19]
|
\boxed{C}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-a3d92c37-63d4-4a54-85c4-78ab02ca893a
| 1
| 1
|
|
<image>
As shown in the figure, in the paper triangle $\vartriangle ABC$, $\angle BAC=50{}^\circ$. When the paper triangle $\vartriangle ABC$ is rotated 50° counterclockwise around point $A$, it forms $\vartriangle ADE$. At this time, side $AD$ passes through point $C$. If the measure of $\angle DBC$ is 40°, then the measure of $\angle ACB$ is.
|
\boxed{105^\circ}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-cb1ffd63-5fd2-41bf-939d-f8b9ab46afa0
| 0.25
| -1
|
|
<image>
As shown in the figure, ∠ACB = 90°, D is the midpoint of AB, and DC is extended to point E such that CE = $\frac{1}{4}$CD. A line through point B parallel to DE intersects the extension of AE at point F. If BF = 10, then the length of AB is.
|
\boxed{8}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-8885cf5c-db7e-461a-88a9-78c1fc40b170
| 0.125
| -1
|
|
<image>/n<image>/n<image>/nBased on the given images, answer the following question.
Given Figure 1, in rhombus ABCD, ∠B = 60°. A moving point P starts from point A and travels along segment AB with a speed of 1 unit per second to reach point B. Meanwhile, a moving point Q starts from point B and travels along the polyline B-C-D with a speed of 2 units per second to reach point D. Figure 2 shows the graph depicting the relationship between the area S of △BPQ and time t as points P and Q move. What is the value of a? Options: A. 2 B. 2.5 C. 3 D. 2√3
|
\boxed{D}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-ba23ccc9-a7e3-4830-b872-5b1339b65fd6
| 0.375
| -1
|
|
<image>What is the accuracy of the algorithm with lowest accuracy?
|
\boxed{1}
|
Tables/Diagrams/Charts
|
dvqa
|
dvqa-15247
| 1
| 1
|
|
<image>How many people like the least preferred object in the whole chart?
|
\boxed{1}
|
Tables/Diagrams/Charts
|
dvqa
|
dvqa-10302
| 1
| 1
|
|
<image>
Find the least common multiple of 8 and 15. Let's think step by step and output the final answer within \boxed{}.
|
\boxed{120}
|
(GradeSchool) Non-Geo Math
|
DeepScaleR
|
DeepScaleR-38785
| 1
| 1
|
|
The below problem is with the following images:
<image>
In triangle ACE, with P as the centroid, where PF is 6 and AD is 15, what is the length of PC?
|
\boxed{12}
|
(GradeSchool) Geometric
|
Processed
|
Processed-dde9bce8-5ff6-4ed0-a55a-450de86e6835
| 0.625
| -1
|
|
As shown in the figure, the three views of a geometric solid formed by small cubes with a side length of 3 are given. Please determine the volume of the geometric solid.
<image><image_1>
Front view
<image><image_2>
Left view
<image><image_3>
Top view
|
\boxed{135}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-43405898-c5e8-4dd2-9cd8-f43fe240012f
| 0.5
| -1
|
|
<image>
What is the percentage of the moderate disruption supplier?
|
\boxed{56}
|
Tables/Diagrams/Charts
|
Processed
|
Processed-3d7014f8-7b64-4186-a3e3-f881ef27ab4a
| 1
| 0.875
|
|
<image>
As shown in the figure, given $\vartriangle ABC$, $AB=6$, $AC=5$, $D$ is the midpoint of side $AB$, $E$ is a point on side $AC$, $\angle ADE=\angle C$, and the angle bisector of $\angle BAC$ intersects $DE$ and $BC$ at points $F$ and $G$ respectively. What is the value of $\frac{AF}{AG}$?
|
\boxed{\frac{3}{5}}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-3ea2ef9d-fd4d-4191-a782-0c677caf16e2
| 1
| 0.25
|
|
<image>
In 'The Nine Chapters on the Mathematical Art: Commercial Arithmetic', a tetrahedron with all four faces being right-angled triangles is called a 'bie nao' (biē nào). In the bie nao $P-ABD$ shown in the figure below, $PD \bot DA$, $PD \bot DB$, $BA \bot AD$, then the right-angle vertex of $\vartriangle PAB$ is.
|
\boxed{A}
|
Spatial Reasoning
|
MMK12
|
MMK12-39517d4d-6c9b-40a3-9f2c-e130697e1ead
| 0.5
| -1
|
|
<image>
As shown in the figure, there is a circuit $$AB$$ controlled by the switches illustrated. Closing any two of the five switches $$a$$, $$b$$, $$c$$, $$d$$, $$e$$ can form a circuit. The probability that the circuit forms a path is ___.
|
\boxed{\dfrac{3}{5}}
|
(GradeSchool) Science
|
MMK12
|
MMK12-e4c6cd07-6a8c-474a-b700-3a34ed7507f1
| 0.25
| -1
|
|
<image>Your answer should consist solely of the letter of the chosen option.
Which graph(s) indicate a threshold behavior where the quantity on the y-axis changes drastically at a specific point on the x-axis? Choose from the following options
A. Graphs (a) and (b)
B. Graph (c) only
C. Graphs (a) and (d)
D. All graphs
|
\boxed{C}
|
Broader STEM Topics
|
Processed
|
Processed-8465fc0a-a2e7-4faf-aa07-e9868c6d722f
| 1
| 1
|
|
<image>
Which color has the second largest area under the curve after Seafoam?
|
\boxed{Aqua}
|
Tables/Diagrams/Charts
|
Processed
|
Processed-26278a7a-5a84-45e6-bb37-f3652e6bc356
| 0.125
| -1
|
|
<image>/nBased on the given images, answer the following question.
For the equation $2^{x}-1 = a$ to have two distinct real roots, what should be the range of the real number $a$?
|
\boxed{(0,1)}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-4c9c968f-9f96-47ed-9c3f-e1ff97bb431c
| 0.5
| -1
|
|
<image>
As shown in the figure, given that $\angle AOB={{70}^{\circ }}$, ray $OC$ is the bisector of $\angle AOB$, then $\angle AOC=$ degrees.
|
\boxed{35}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-fd484d9f-595d-4d63-be18-67fc93c1c940
| 1
| 1
|
|
<image>
As shown in the figure, in $\triangle ABC$, $\angle ACB=90^\circ$, $AC=3$, and $AB=5$, what is the value of $\sin B$?
|
\boxed{\frac{3}{5}}
|
(GradeSchool) Non-Geo Math
|
MMMath
|
MMMath-1530
| 1
| 1
|
|
<image>What is the accuracy of the algorithm wise in the dataset guitar?
|
\boxed{10}
|
Tables/Diagrams/Charts
|
dvqa
|
dvqa-10412
| 1
| 1
|
|
<image>Which of the following contains a vague pronoun reference?
A. Option A in the image
B. Option B in the image
C. The given choices are misleading.
|
\boxed{B}
|
Social Science
|
M3CoT
|
M3CoT-4983
| 1
| 0.921875
|
|
<image>/n<image>/nBased on the given images, answer the following question.
Given a cube $AC_1$ with edge length 1, point $P$ is the center of face $AA_1D_1D$, and point $Q$ is on the diagonal $B_1D_1$ of face $A_1B_1C_1D_1$, with $PQ$ parallel to plane $AA_1B_1B$. What is the length of segment $PQ$? Choices: A. $\frac{\sqrt{2}}{2}$, B. $\frac{\sqrt{3}}{2}$, C. 1, D. $\sqrt{2}$
|
\boxed{A}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-39498159-fdc7-4596-a005-7f00ad3d7258
| 0.9375
| -1
|
|
<image>
Is Navy Blue greater than Dodger Blue?
Choices:
(A) no
(B) yes
|
\boxed{A}
|
Tables/Diagrams/Charts
|
Processed
|
Processed-5e52b7d3-ea6f-48b8-b7bc-2d945b42d4dc
| 0.25
| -1
|
|
<image>
In the flowchart shown in the figure, the value of the output $S$ is
|
\boxed{190}
|
Tables/Diagrams/Charts
|
MMK12
|
MMK12-33e53684-dc18-445f-a979-8468695e558e
| 1
| 0.625
|
|
<image>
A class is randomly selected from the senior year of a certain school, and the vision status of 50 students in the class is statistically analyzed based on their college admission health examination forms. The frequency distribution histogram is shown in the figure: If a certain college program A requires a vision of 0.9 or above, then the number of students in the class who can apply for program A is
|
\boxed{20}
|
Tables/Diagrams/Charts
|
MMK12
|
MMK12-318e8bb5-a4ba-4996-b390-69bcc252bad8
| 1
| 0
|
|
<image>
As shown in the figure, in rectangle $ABCD$, $AB=4$ and $AD=10$. When the right-angle vertex $P$ of the square slides on $AD$ (point $P$ does not coincide with $A$ or $D$), one right-angle side passes through point $C$, and the other intersects $AB$ at point $E$. Is there such a point $P$ that makes the perimeter of $\triangle DPC$ equal to twice the perimeter of $\triangle AEP$? Find the length of $DP$.
|
\boxed{8}
|
(GradeSchool) Non-Geo Math
|
MMMath
|
MMMath-3642
| 0.1875
| -1
|
|
<image>
If you add 2 brown items together, what is the total number of brown items?
|
\boxed{5}
|
Spatial Reasoning
|
Processed
|
Processed-829799f5-a113-45d2-922a-5da607b9fd36
| 0.875
| -1
|
|
<image>
How many places have exactly 33 items on their menu?
|
\boxed{3}
|
Tables/Diagrams/Charts
|
Processed
|
Processed-3ab78d31-c414-4b4e-8b8e-0e0b5508d018
| 1
| 1
|
|
<image>In a group of dachshund dogs, some individuals have rough fur and others have soft fur. In this group, the gene for the fur texture trait has two alleles. The allele for rough fur (F) is dominant over the allele for soft fur (f).
This Punnett square shows a cross between two dachshund dogs.
What is the probability that a dachshund dog produced by this cross will be homozygous dominant for the fur texture gene?
A. 2/4
B. 1/4
C. 4/4
D. 3/4
E. 0/4
|
\boxed{E}
|
(GradeSchool) Science
|
ScienceQA
|
ScienceQA-16958
| 1
| 0
|
|
<image>
If you are at Rollercoaster Land and want to go to Magician Village, how many options do you have for departure times?
|
\boxed{4}
|
Tables/Diagrams/Charts
|
Processed
|
Processed-c35e6dbe-3aac-4ca8-9477-e6c3097d3632
| 0.375
| -1
|
|
<image>
As shown in the figure, $\angle AOB$ is a straight angle, and $OM$ and $ON$ are the angle bisectors of $\angle AOC$ and $\angle BOD$ respectively. Given that $\angle COD=90^\circ$, find the measure of $\angle MON$?
|
\boxed{135}
|
(GradeSchool) Non-Geo Math
|
MMMath
|
MMMath-5807
| 0.5
| -1
|
|
<image>Two magnets are placed as shown.
Will these magnets attract or repel each other?
A. repel
B. attract
|
\boxed{A}
|
(GradeSchool) Science
|
ScienceQA
|
ScienceQA-8712
| 0.625
| -1
|
|
<image>As shown in the figure, each picture contains several rhombi of different sizes. The first picture has 1, the second picture has 3, and the third picture has 5. How many rhombi are there in the fourth picture? How many rhombi are there in the nth picture?
|
\boxed{7, 2n-1}
|
(GradeSchool) Non-Geo Math
|
K12
|
K12-11526
| 0.625
| -1
|
|
<image>As shown in the figure, in △ABC, points D and E are on sides AB and AC respectively, and DE∥BC. If AE:AC=3:4 and AD=6, then BD equals ().
|
\boxed{2}
|
(GradeSchool) Geometric
|
geoqa_plus
|
geoqa_plus-580
| 1
| 0.890625
|
|
<image>/nBased on the given images, answer the following question.
How many meters did they save by taking the shortcut inside the rectangular flower bed?
|
\boxed{2}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-4fec8e33-6a76-4d50-8e53-9f04876863d3
| 1
| 0.5
|
|
<image>
Chlorogenic acid, which has high medicinal value, can be extracted from honeysuckle (its structural formula is shown below). Which of the following statements is correct? ( )
A. All carbon atoms in the molecule can lie in the same plane.
B. $$1mol$$ of chlorogenic acid reacts with an excess of bromine water, consuming at most $$2.5molBr_{2}$$.
C. $$1mol$$ of chlorogenic acid reacts with an excess of $$NaOH$$ solution, consuming at most $$4mol\ NaOH$$.
D. The hydrolysis products of chlorogenic acid can all react with $$FeCl_{3}$$ solution to produce a color reaction.
|
\boxed{C}
|
(GradeSchool) Science
|
MMK12
|
MMK12-0ec60677-91f4-421a-be06-f4a445e30eb8
| 0.4375
| -1
|
|
<image>
As shown in the figure, with point O as the endpoint, rays OA, OB, OC, OD, and OE are drawn successively in clockwise direction. Moreover, OB is the bisector of $\angle AOC$, and OD is the bisector of $\angle COE$. If $\angle AOB=50^\circ$ and $\angle DOE=30^\circ$, what is the degree measure of $\angle BOD$?
|
\boxed{80}
|
(GradeSchool) Non-Geo Math
|
MMMath
|
MMMath-4833
| 0.5625
| -1
|
|
The solid figure is composed of two small cubes and a cylinder. Its front view is
<image><image_1>
A.
<image><image_2>
B.
<image><image_3>
C.
<image><image_4>
D.
<image><image_5>
##
|
\boxed{B}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-28917dd5-f395-4718-b2c1-1aba2eb25c31
| 0.75
| -1
|
|
<image>Return just the letter that identifies the correct answer.
Based on the trends shown in the sequence, what can be inferred about the overall system behavior? Choose from the following options
A. The system is reaching a state of equilibrium.
B. The system is undergoing cyclic variations.
C. The system is experiencing increasing entropy.
D. The system is undergoing a phase transition.
|
\boxed{A}
|
Broader STEM Topics
|
Processed
|
Processed-929c515a-fd84-4bc3-b7ff-f7362083ca55
| 0.75
| -1
|
|
<image>
As shown in the figure, a line $l$ passing through point $A(-3,4)$ is parallel to the $x$-axis, $OA=5$, point $B$ is on the positive half of the $x$-axis, and $OC$ bisects $\angle AOB$, intersecting $l$ at point $C$. The coordinates of point $C$ are.
|
\boxed{(2,4)}
|
(GradeSchool) Non-Geo Math
|
MMK12
|
MMK12-c21171e5-9b58-4251-bcb8-2402bf52ce0e
| 0.25
| -1
|
|
<image>
As shown in the figure, $$AB$$ is a chord of $$\odot O$$, with a length of $$8$$. $$P$$ is a moving point on $$\odot O$$ (not coinciding with $$A$$ or $$B$$). $$OC \perp AP$$ at point $$C$$, and $$OD \perp PB$$ at point $$D$$. The length of $$CD$$ is ______.
|
\boxed{4}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-c35590e2-904c-40a7-9c67-f4a73e805eb8
| 1
| 1
|
|
<image>In a group of American curl cats, some individuals have curled ears and others have straight ears. In this group, the gene for the ear type trait has two alleles. The allele for straight ears (e) is recessive to the allele for curled ears (E).
This Punnett square shows a cross between two American curl cats.
What is the probability that an American curl cat produced by this cross will be heterozygous for the ear type gene?
A. 0/4
B. 3/4
C. 2/4
D. 4/4
E. 1/4
|
\boxed{C}
|
(GradeSchool) Science
|
ScienceQA
|
ScienceQA-32765
| 1
| 0.234375
|
|
<image>Output only the correct option's letter (such as A, B, C, or D).
What does the iterative process displayed in figure (C) under "Jacobi Only" suggest about the convergence behavior? Choose from the following options
A. The solution \( u(x) \) converges rapidly to the true solution within 14 iterations.
B. The solution \( u(x) \) diverges from the true solution as the number of iterations increases.
C. The solution \( u(x) \) requires more than 600 iterations to converge to the true solution.
D. The solution \( u(x) \) approaches the true solution as the number of iterations increases but requires more iterations for convergence.
|
\boxed{D}
|
Broader STEM Topics
|
Processed
|
Processed-974c728e-f926-4ca8-8155-30237e525b13
| 1
| 0.375
|
|
<image>Within the image, there are various purchased items. It's worth noting that we should consider the water temperature to be 4 °C at this moment.
Count how many of the options in the image appear to be floating on the water's surface.
A. 2
B. 1
C. 0
|
\boxed{A}
|
(GradeSchool) Science
|
M3CoT
|
M3CoT-1960
| 0.75
| -1
|
|
<image>
As shown in the figure, to protect the hundred-mile sea of rapeseed flowers in Menyuan, two boardwalks AB and AC are constructed from the 'Fragrant Bath' visitor center A to the hundred-meter viewing corridor BC. If ∠B = 56°, ∠C = 45°, then the distance AD from the visitor center A to the viewing corridor BC is approximately meters. (sin56° ≈ 0.8, tan56° ≈ 1.5)
|
\boxed{60}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-891754d2-30ed-411c-b750-616066f49da6
| 1
| 0.25
|
|
<image>
The fraction equals zero, then the value of x is ______.
|
\boxed{1}
|
(GradeSchool) Non-Geo Math
|
MMK12
|
MMK12-1c0003b6-7403-445a-984b-bb784a7a5d0e
| 1
| 1
|
|
<image>
As shown in the figure, the radius of circle O is 4 cm, BC is the diameter. If AB = 10 cm, then AC = cm when AC is the tangent to circle O.
|
\boxed{6}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-0f0d59a2-3650-4d8b-8970-58e0be08e209
| 1
| 0.5
|
|
<image>
As shown in the figure, the side length of square A$_{0}$B$_{0}$C$_{0}$A$_{1}$ is 1, the side length of square A$_{1}$B$_{1}$C$_{1}$A$_{2}$ is 2, the side length of square A$_{2}$B$_{2}$C$_{2}$A$_{3}$ is 4, and the side length of square A$_{3}$B$_{3}$C$_{3}$A$_{4}$ is 8, and so on. Following this pattern, continue to construct square A$_{n}$B$_{n}$C$_{n}$A$_{n+1}$, with points A$_{0}$, A$_{1}$, A$_{2}$, A$_{3}$, ..., A$_{n+1}$ lying on the same straight line. Connect A$_{0}$C$_{1}$ to intersect A$_{1}$B$_{1}$ at point D$_{1}$, connect A$_{1}$C$_{2}$ to intersect A$_{2}$B$_{2}$ at point D$_{2}$, connect A$_{2}$C$_{3}$ to intersect A$_{3}$B$_{3}$ at point D$_{3}$, and so on. Let the area of quadrilateral A$_{0}$B$_{0}$C$_{0}$D$_{1}$ be S$_{1}$, the area of quadrilateral A$_{1}$B$_{1}$C$_{1}$D$_{2}$ be S$_{2}$, the area of quadrilateral A$_{2}$B$_{2}$C$_{2}$D$_{3}$ be S$_{3}$, and so on, the area of quadrilateral A$_{n-1}$B$_{n-1}$C$_{n-1}$D$_{n}$ be S$_{n}$. Then S$_{2019}$ = .
|
\boxed{\frac{2}{3}×4^{2018}}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-9ef771dc-8114-42cc-b40e-f52231937a48
| 0.125
| -1
|
|
<image>/n<image>/nBased on the given images, answer the following question.
A cube slides down a slope, and its cross-section is shown in the figure: \(\angle B=90^{\circ}\), the side length of the square \(D E F H\) is \(1 m\), \(B C=4 m\), and \(A C=8 m\). When the square \(D E F H\) moves to a position such that \(D C^{2}=A E^{2}+B C^{2}\), the length of \(A E\) is \(() m\).Choices:
A. \(\frac{49}{16}\)
B. 4
C. \(\sqrt{17}\)
D. \(2\sqrt{3}\)
|
\boxed{A}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-0905f820-7b91-4c94-a860-34b631cf8218
| 1
| 0.125
|
|
<image>
A tree planting group measured the heights of a batch of newly purchased saplings, and the data is shown in the stem-and-leaf plot (unit: cm). What is the median height of these saplings?
|
\boxed{76}
|
Tables/Diagrams/Charts
|
MMK12
|
MMK12-9fbc1949-f6a1-4654-ae49-04957ba52c95
| 1
| 0.625
|
|
<image>
Find the measure of \angle C. Round to the nearest degree.
Choices:
(A) 51
(B) 56
(C) 61
(D) 66
|
\boxed{B}
|
(GradeSchool) Geometric
|
Processed
|
Processed-3d6c1c15-395a-42c2-ab7b-ebcc7e8e9192
| 0.625
| -1
|
|
<image>
A paper strip of the same width is folded as shown in the figure, then $$∠1=$$___ degrees.
|
\boxed{65}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-db28fdf1-6ad5-4f13-8e83-02a9f54386c2
| 0.25
| -1
|
|
<image>
In the circuits shown in Figure A and B, when 220V AC voltage is applied across points a and b and points e and f respectively, the voltages measured across points c and d and points g and h are both 110V. If 110V AC voltage is applied across points c and d and points g and h respectively, then the voltages across points a and b and points e and f are ( )
A. 220V, 220V
B. 220V, 110V
C. 110V, 110V
D. 220V, 0V
|
\boxed{B}
|
(GradeSchool) Science
|
MMK12
|
MMK12-bcae1682-75fd-4d6f-9309-3c949b19688e
| 1
| 0.5
|
|
<image>
According to the pseudocode shown in the figure, the output result is ___.
|
\boxed{70}
|
Broader STEM Topics
|
MMK12
|
MMK12-4203924a-00e0-45ee-8c1d-053cd28d12fc
| 1
| 0
|
|
In $\triangle ABC$, $AB=AC$, and $\angle B=30^\circ$. The perpendicular bisector of side $AC$ intersects $AC$ and $BC$ at points $E$ and $D$ respectively. If $DE=2$, what is the length of $BC$?
<image>
|
\boxed{12}
|
(GradeSchool) Non-Geo Math
|
MMMath
|
MMMath-2470
| 0.125
| -1
|
|
<image>How many people like the least preferred object in the whole chart?
|
\boxed{1}
|
Tables/Diagrams/Charts
|
dvqa
|
dvqa-9725
| 1
| 1
|
|
<image>
What is the ratio of superheroes who can read minds to those who can fly?
|
\boxed{6:7}
|
Tables/Diagrams/Charts
|
Processed
|
Processed-705cf406-1b43-4fb9-bd02-25b8833f3e74
| 1
| 1
|
|
The below problem is with the following images:
<image>
In triangle ABC, which is inscribed in circle O, with AB = 30, AC = 24, and the altitude AH to side BC is 20, what is the radius of circle O?
|
\boxed{18}
|
(GradeSchool) Geometric
|
Processed
|
Processed-2a067f86-3631-400c-ab22-8fbb0f47fa8b
| 0.6875
| -1
|
|
<image>As shown in the figure, in diamond ABCD, ∠A = 110°, and the measure of ∠CBD is ( )
A. 90°
B. 70°
C. 55°
D. 35°
|
\boxed{D}
|
(GradeSchool) Geometric
|
geoqa_plus
|
geoqa_plus-4624
| 0.25
| -1
|
|
<image>
As shown in the figure, in $\triangle ABC$, $\angle ACB = 90^\circ$, $CD \perp AB$ with the foot of the perpendicular being $D$. $\triangle ABC \sim \triangle ACD$. Given that $AC = 4$ and $BC = 3$, what is the length of $AD$?
|
\boxed{\frac{16}{5}}
|
(GradeSchool) Non-Geo Math
|
MMMath
|
MMMath-3240
| 1
| 1
|
|
<image>/nBased on the given images, answer the following question.
As shown in the image, each small square in the grid has a side length of 1. Find the area of the segment formed by the arc $\overparen{A B}$ with center $O$ and radius $O A$, and the chord $A B$. Please select the correct option: \n\nChoices:\nA. $2 \\pi - 4$\n\nB. $2 \\pi - 8$\n\nC. $4 \\pi - 4$\n\nD. $\\pi - 4$
|
\boxed{A}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-048e396c-769d-4788-b20f-727bc6bcb440
| 1
| 0.375
|
|
<image>
As shown in the figure, in $\vartriangle ABC$, $AC=BC$. Perpendicular lines $ME$ and $BF$ are drawn from points $A$ and $B$ respectively to the line passing through point $C$. If $AE=CF=3$ and $BF=4.5$, then $EF=$.
|
\boxed{7.5}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-abd4e793-76bc-4259-8251-a8d11c43c434
| 0.375
| -1
|
|
<image>
Given that the graph of a power function passes through the points $(2,16)$ and $(\frac{1}{2},m)$, find the value of $m$. Let's think step by step and output the final answer within \boxed{}.
|
\boxed{\frac{1}{16}}
|
(GradeSchool) Non-Geo Math
|
DeepScaleR
|
DeepScaleR-28767
| 0.625
| -1
|
|
<image>
As shown in the figure, in rectangle ABCD, AB = 8, BC = 10, and E is a point on AB. When rectangle ABCD is folded along CE, point B lands on point F on AD. What is the length of AF?
|
\boxed{4}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-2e0fc463-5d62-4991-a198-7754416e86f2
| 0.75
| -1
|
|
<image>/n<image>/nBased on the given images, answer the following question.
As shown in the image, the graph of the function f(x) is a broken line segment ABC, where the coordinates of A, B, and C are (0, 4), (2, 0), and (6, 4), respectively. What is the value of f[f(0)]?
|
\boxed{2}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-afd5bfc3-e367-4e2f-b3d7-6a644d640fcc
| 1
| 0.875
|
|
<image>
The diagram shows neurons and their connections, with Figure 2 being an enlarged view of the connection between two neurons in Figure 1. Which of the following analyses is correct? ( )
A. The structure labeled 1 in the diagram is a dendrite, and the structure labeled 4 is a synaptic terminal.
B. In Figure 2, the direction of impulse transmission is 2.→3.
C. When the impulse reaches point X, the potential inside the cell membrane changes from negative to positive.
D. When point X is excited, the concentration of Na<sup>+</sup> inside the neuron membrane will be higher than outside the membrane.
|
\boxed{C}
|
(GradeSchool) Science
|
MMK12
|
MMK12-0c61155f-c11f-45c3-b15c-395e7122b4e3
| 1
| 0.375
|
|
As shown in Figure 1, this is a hexagonal ruler used in woodworking table saws, providing common angle measurements. In the hexagonal ruler diagram in Figure 2, the value of $x$ is ( )
<image><image_1>
Figure 1
<image><image_2>
Figure 2
A. $135^{\circ}$
B. $120^{\circ}$
C. $112.5^{\circ}$
D. $112^{\circ}$
|
\boxed{C}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-b22fc5e8-66b1-4096-adf8-cd76ce1f98df
| 1
| 0.125
|
|
Given that the radius of circle $O$ is $O A = 2$, if $O B = \sqrt{5}$, which of the following correct figures could be obtained?
A.
<image><image_1>
B.
<image><image_2>
C.
<image><image_3>
D.
<image><image_4>
|
\boxed{A}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-fd322312-d205-4f51-91e8-909fb4b57d64
| 1
| 0.125
|
|
<image>
In the diagram, objects labeled with the same letter have the same mass. If the mass of $$A$$ is $$20$$ grams, when the balance is in equilibrium, the mass of $$B$$ is ___ grams.
|
\boxed{10}
|
(GradeSchool) Science
|
MMK12
|
MMK12-f3157db3-9cac-4eaf-9276-f82ad4a3293c
| 1
| 0.875
|
|
<image>/nBased on the given images, answer the following question.
Given rational numbers a, b, c whose positions on the number line are shown in the image, and |c| > |a| > |b|. Calculate |a+b| - 2|c-b| + |a+c|. Choose the result from the options:
A. c-b
B. 0
C. 3b - 3c
D. 2a + 3b - c
|
\boxed{A}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-03af03c1-62ad-434b-a656-6bd1087cb954
| 0.875
| -1
|
|
<image>
The stem-and-leaf plot of the average monthly temperatures (in °C) for Chongqing in 2013 is shown below: What is the median of this data set?
|
\boxed{20}
|
Tables/Diagrams/Charts
|
MMK12
|
MMK12-1ed3843f-a841-4539-8866-c7c78093f25c
| 1
| 0.625
|
|
The below problem is with the following images:
<image><image>
As shown in the figure, two adjacent utility poles are fixed to the ground with steel cables. One pole has a steel cable attached at a height of 4 m above the ground, while the other has a steel cable attached at 6 m above the ground. Calculate the height above the ground at which the intersection point P of the two cables happens.
|
\boxed{2.4}
|
(GradeSchool) Geometric
|
Processed
|
Processed-13a6f389-8498-459d-a422-03271fff1028
| 0.875
| -1
|
|
<image>In the image, you can observe numerous items.Additionally, we are operating under the assumption that the current room temperature stands at 25 °C.
If you put these containers in a room at normal temperature, which one will develop droplets on its inner wall on its surface first?
A. Option A in the image
B. Option B in the image
C. All liquid temperatures are lower than room temperature (25°C), so no water droplets will appear on the inner wall of the container given from the image options.
|
\boxed{A}
|
(GradeSchool) Science
|
M3CoT
|
M3CoT-1732
| 1
| 0.578125
|
|
Glycolysis (shown below) is a critical metabolic pathway that is utilized by nearly all forms of life. The process of glycolysis occurs in the cytoplasm of the cell and converts 1 molecule of glucose into 2 molecules of pyruvic acid.How many net ATP would be generated directly from glycolysis from the breakdown of 2 glucose molecules?
A. 2
B. 4
C. 8
D. 12
<image>
|
\boxed{B}
|
(GradeSchool) Science
|
Processed
|
Processed-a7a1c576-1f7a-4507-8ebc-a37ba9315496
| 1
| 0
|
|
<image>
The flowchart of a program is shown in the figure. After the program runs, the output is $$x=$$ ___.
|
\boxed{8}
|
Broader STEM Topics
|
MMK12
|
MMK12-4ea573ca-5138-4226-bc0f-e6247b6ee638
| 1
| 1
|
|
<image>
As shown in the figure, point A is on the graph of the function y = $\frac{k}{x}$ (k > 0), AB is perpendicular to the x-axis at point B, and point C is on the negative half of the y-axis. Line segment AC intersects the x-axis at point D. If the area of triangle BCD is 2, and AD = CD, then the value of k is.
|
\boxed{8}
|
(GradeSchool) Non-Geo Math
|
MMK12
|
MMK12-a77e4f66-79dc-4c89-b3bf-bd8886566f7a
| 1
| 0.25
|
|
<image>
As shown in the figure, in parallelogram $$\Box ABCD$$, the angle bisector $$AE$$ of $$\angle A$$ intersects $$CD$$ at point $$E$$, $$AB=5$$, $$BC=3$$. Then the length of $$EC$$ is ___.
|
\boxed{2}
|
(GradeSchool) Geometric
|
MMK12
|
MMK12-82970ba7-fedc-4775-9fd2-2e4fd5a2f9b7
| 0.875
| -1
|
|
<image>/nBased on the given images, answer the following question.
In the triangle ABC (as shown in the image), it is known that angle 1 equals angle 2, PR equals PS, PR is perpendicular to AB at R, and PS is perpendicular to AC at S. Which of the following statements are correct? (1) AS = AR; (2) QP is parallel to AR; (3) Triangle BRP is congruent to triangle QSP. Options: A. All correct B. (1) and (2) are correct C. Only (1) is correct D. (1) and (3) are correct
|
\boxed{B}
|
(GradeSchool) Non-Geo Math
|
Processed
|
Processed-c44ef0f1-31de-44ff-8108-c006f9399b79
| 0.875
| -1
|
|
<image>As shown in the figure, in the parallelogram, diagonals AC and BD intersect at point O. If AC = 12, BD = 16, and CD = 11, the perimeter of △DOC is ( ).
A. 39
B. 31
C. 33
D. 25
|
\boxed{D}
|
(GradeSchool) Geometric
|
geoqa_plus
|
geoqa_plus-8438
| 1
| 0
|
|
<image>
Subtract 1 purple cube. How many objects are left?
|
\boxed{3}
|
Spatial Reasoning
|
Processed
|
Processed-58691cd9-0c2a-44e9-ba39-3632adadc70c
| 1
| 1
|
|
<image>As shown in the figure, point P is outside circle O, PA and PB are tangent to circle O at points A and B respectively, ∠P = 50°, then ∠AOB equals ()
A. 150° 130°
B. 155°
C. 135°
D. Cannot be determined
|
\boxed{B}
|
(GradeSchool) Geometric
|
geoqa_plus
|
geoqa_plus-8027
| 1
| 0.09375
|
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