id stringlengths 4 8 | image_url stringlengths 77 81 | query stringlengths 7 1.32k | answer stringlengths 1 148 | choice stringlengths 4 597 | question_type stringclasses 2
values |
|---|---|---|---|---|---|
func908 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/908.png | As shown in the figure, it is known that point K is on the line: y = 2x + 4. First, point K is shifted a units to the left and then b units down to point K1. If point K1 exactly falls on the line, what relationship between a and b must hold? ( ) | A | ['2a - b = 0', '2a + b = 0', '2a - b = 4', '2a + b = 4'] | multi_choice |
func909 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/909.png | As shown in the figure, in the Cartesian coordinate system, point A is at (9,0), point C is at (0,3). A rectangle OABC is formed with OA and OC as sides. Points E and F start moving simultaneously at a speed of 1 unit per second along OA and BC respectively, towards their endpoints A and C. Denote the time of movement as t seconds. When the quadrilateral AFCE forms a rhombus, what is the value of t? | A | ['4', '5', '6', '√10'] | multi_choice |
func91 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/91.png | In the plane rectangular coordinate system, the position of the square A₁B₁C₁D₁ is as shown in the figure. The coordinates of point B₁ are (0,2), and the coordinates of point C₁ are (1,0). Extend A₁D₁ to intersect the x-axis at point C₂, construct square A₂B₂C₂D₂... Continue this pattern, then the distance from point A₄ to the x-axis is _______. | 3√5 / 16 | NULL | free_form |
func910 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/910.png | As shown in the figure, in the rectangular coordinate system, the side BC of rectangle ABCD is parallel to the x-axis. If the coordinates of point A are (-1, 2), the coordinates of point C are (3, -3), and one end of a 2024-unit-long inelastic thread (whose thickness is negligible) is fixed at point A and wound clockwise along the edges of rectangle ABCD, the coordinates of the other end of the thread are ( ).
A. (3, -2) B. (3, -3) C. (2, -3) D. (2, 2) | A | ['(3, -2)', '(3, -3)', '(2, -3)', '(2, 2)'] | multi_choice |
func911 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/911.png | As shown in the figure, a plane Cartesian coordinate system OXY is established on a 4×5 grid paper. The coordinates of point A are (1,1), and the coordinates of point B are (1,-2). If point C is a grid point in the quadrants on this paper and satisfies S△ABC = 3, how many such points C are there ( )? | D | ['3', '4', '5', '6'] | multi_choice |
func912 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/912.png | A biology interest group observes the growth of a certain plant and obtains the function graph showing the height of the plant (y, in cm) in relation to the observation time x (in days), as depicted in the diagram. Based on this, calculate the minimum number of days required for the plant's height to exceed 10 cm ( ). | C | ['16 days', '32 days', '40 days', '60 days'] | multi_choice |
func913 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/913.png | As shown in the figure, given that the line v1 = k1x + b1 passes through point A(-3,2), the line v2 = k2x + b2 passing through point A also intersects at point B(-5,0). What is the solution set for the inequality 0 < k2x + b2 < k1x + b1? ( ) | B. −5 < x < −3 | ['x < -3', '-5 < x < -3', '-5 < x < 0', 'x < 0'] | multi_choice |
func914 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/914.png | As shown in the figure, point P moves in the plane Cartesian coordinate system in the direction indicated by the arrows. The first move is from the origin to (1,1), the second move continues to the point (2,0), and the third move continues to the point (3,2). Following this pattern, what will be the coordinates of point P after the 2024th move? | C | ['(2024, 2)', '(2024, 1)', '(2024, 0)', '(2023, 0)'] | multi_choice |
func915 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/915.png | As shown in the figure, during an activity, Class 1 at location A is preparing to travel 5 km to location B to meet with Class 2. How would you describe the position of Class 1 relative to Class 2 in terms of direction and distance? | D | ['Southwest 50°, 5 km', 'Northeast 50°, 5 km', 'Southwest 40°, 5 km', 'Northeast 40°, 5 km'] | multi_choice |
func916 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/916.png | As shown in the figure, in a Cartesian coordinate plane, a moving point P starts from the origin O, moves horizontally to the right by 1 unit, and then vertically upward by 1 unit, reaching point P1(1, 1). Then it moves horizontally to the left by 2 units, and vertically downward by 2 units, reaching point P2(-1, -1). Next, it moves horizontally to the right by 3 units, and vertically upward by 3 units, reaching point P3(2, 2). Then it moves horizontally to the left by 4 units, and vertically downward by 4 units, reaching point P4(-2, -2). Following this pattern, what are the coordinates of point P2024? | B | ['(1012, 1012)', '(-1012, -1012)', '(1013, 1013)', '(-1013, -1013)'] | multi_choice |
func917 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/917.png | Which of the following real-life scenarios can be depicted by the given graph? | C | ['A bicycle accelerating (relationship between speed and time)', 'A basketball thrown upwards (relationship between height and time)', 'A burning candle (relationship between candle length and time)', 'A flag-raising ceremony (relationship between flag height and time)'] | multi_choice |
func918 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/918.png | An exploration team marked the positions and related data (unit: km) of locations A, B, and C on a map as shown in the figure. What is the origin of the rectangular coordinate system in the plane of the three locations? | C | ['Point C', 'Point D', 'Point E', 'Point F'] | multi_choice |
func919 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/919.png | For the two broken lines, A and B, which of the following statements is correct ( )? | A. A represents y as a function of x, while B cannot represent y as a function of x. | ['Line A represents y as a function of x, and Line B does not represent y as a function of x.', 'Neither Line A nor Line B represents y as a function of x.', 'Both Line A and Line B represent y as a function of x.', 'Line A does not represent y as a function of x, and Line B represents y as a function of x.'] | multi_choice |
func92 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/92.png | In the recently concluded school sports meet, A and B had a race. Initially, A was 4 meters ahead of B. Both started running at the same time, with A's speed being 4 meters per second and B's speed being 6 meters per second. As shown in the graph, the distance (s) of both runners is represented as a function of running time (t). The coordinates of the intersection point P of the two graphs are ________. | (2, 12) | NULL | free_form |
func920 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/920.png | In the parallelogram ABCD, the coordinates of points A, C, and D are shown in the figure. What are the coordinates of point B? | D | ['(-3, -2)', '(-2, -2)', '(-3, -1)', '(-2, -1)'] | multi_choice |
func921 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/921.png | 8. In the square grid diagram below, some locations near the school are marked. Each small square grid has a side length of 200m. In the diagram, taking the positive directions of the east and north as the x-axis and y-axis respectively, and establishing a rectangular coordinate system O-xy where 200m represents 1 unit length, the coordinates of the supermarket are (-6, 2), and the coordinates of the gymnasium are (2, -3). What are the coordinates of the school? | B. (-7, -5) | ['(-4, -4)', '(-7, -5)', '(-5, -7)', '(7, 5)'] | multi_choice |
func922 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/922.png | As shown in the figure, it is a temperature variation chart of a certain day in Beijing. Based on the graph, which of the following statements is correct ( ).
A. The lowest temperature of the day is 0°C
B. Starting from 6 a.m., the temperature gradually rises, reaching the highest temperature of the day, close to 40°C, at 3 p.m.
C. There are two time points during the day when the temperature is 10°C
D. The duration of temperatures below 20°C exceeds 12 hours | D | ['The lowest temperature of the day is 0°C.', 'The temperature starts to rise gradually from 6 AM and reaches the highest temperature of the day close to 40°C at 1 PM.', 'There are two points in time when the temperature is 10°C.', 'The temperature stays below 20°C for more than 12 hours in the day.'] | multi_choice |
func923 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/923.png | As shown in the figure, in a rectangular coordinate plane, a moving point starts from the origin O and moves continuously in the directions of up, right, and down. Each time it moves one unit, resulting in the points A1(0, 1), A2(1, 1), A3(1, 0), A4(2, 0)... What are the coordinates of the point A2024? | C. (1012, 0) | ['(1011, 0)', '(1011, 1)', '(1012, 0)', '(1012, 1)'] | multi_choice |
func924 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/924.png | As shown in the figure, in a rectangular coordinate plane, there is a rectangular piece of paper. The coordinates of three vertices of the rectangle are A(-4, 1), B(-2, 1), and C(-2, -2). Then the coordinates of the points that the rectangular paper can cover could be ( ) | C | ['(-3, 2)', '(0, -3)', '(-3, 0)', '(-2, -3)'] | multi_choice |
func926 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/926.png | As shown in the figure, the parabola y = ax^2 + bx + c (a ≠ 0) has its axis of symmetry at the line x = 1 and one of its intersection points with the x-axis is (-1, 0). Part of the graph is shown in the figure. Which of the following statements is incorrect? A. b^2 - 4ac < b^2 B. The equation ax^2 + bx + c = 0 has two roots: x = 1 and x = 3 C. When x ∈ R, y increases as x increases D. b = 2a | C | ['The discriminant \\(4ac < b^2\\)', 'The two roots of the quadratic equation \\(ax^2 + bx + c = 0\\) are \\(x = -1, x = 3\\)', 'The vertex of the parabola is \\((1, -4a)\\)', 'When \\(x > 1\\), \\(y\\) increases with \\(x\\)'] | multi_choice |
func927 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/927.png | The content that the human brain can remember is limited. Over time, what is remembered gradually fades away. The German psychologist Hermann Ebbinghaus was the first to discover the regularity of memory retention and forgetting. He used his test data to draw a curve (as shown in the figure), which is the famous Ebbinghaus forgetting curve. In this curve, the vertical axis represents the amount of memory retained during learning, and the horizontal axis represents time. Which of the following statements is correct?
A. The rate of forgetting is the slowest within the first 1 hour.
B. The rate of forgetting is the fastest 2 hours after learning.
C. It takes 2 hours for the memory retention to drop to 40%.
D. After 24 hours, the amount of memory retention remains unchanged. | C | ['The forgetting speed is the slowest within 1 hour of memory.', 'The forgetting speed is the fastest after 2 hours of memory.', 'It takes 2 hours for the memory retention to drop to 40%.', 'The memory retention remains unchanged after 24 hours.'] | multi_choice |
func928 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/928.png | As shown in the figure, in rectangle ABCD, A(-4, 1), B(0, 1), and C(0, 3), what are the coordinates of point D? | C. (-4, 3) | ['(-3, 3)', '(-2, 3)', '(-4, 3)', '(4, 3)'] | multi_choice |
func929 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/929.png | As shown in the figure, the vertices A and B of the rhombus ABCD have coordinates (0, 8) and (-6, 0), respectively. What are the coordinates of point D? | B. (10, 8) | ['(9, 8)', '(10, 8)', '(11, 8)', '(12, 8)'] | multi_choice |
func93 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/93.png | As shown in the figure, it is known that the graph of the linear function y = kx + b passes through points A(2, 3) and B(-4, 0), and the graph of the linear function y = mx passes through point A. Then the range of the variable x for which the function value of y = kx + b is less than the function value of y = mx is ______. | -4 < x < -2 | NULL | free_form |
func930 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/930.png | As shown in the figure, a linear function y = kx + b intersects with y = x + 2 at point P(m, 4). What is the solution of the following system of linear equations in terms of x and y: {kx - y = -b; y - x = 2}? | D | ['\\(\\begin{cases} x = 6 \\\\ y = 4 \\end{cases}\\)', '\\(\\begin{cases} x = 4 \\\\ y = 6 \\end{cases}\\)', '\\(\\begin{cases} x = 4 \\\\ y = 2 \\end{cases}\\)', '\\(\\begin{cases} x = 2 \\\\ y = 4 \\end{cases}\\)'] | multi_choice |
func931 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/931.png | As shown in the figure, point A moves along the positive half of the x-axis and the positive half of the y-axis. Point A starts from the origin and jumps to points A1(0, 1), A2(1, 0), A3(2, 0), A4(0, 2), A5(0, 3), A6(3, 0), A7(4, 0), A8(0, 4)... and so on. According to this pattern, what is the coordinate of point A2024? ( ) | C | ['(0, 1013)', '(0, 1012)', '(0, 1012)', '(1012, 0)'] | multi_choice |
func932 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/932.png | Based on the knowledge of physics, under constant pressure, the pressure p (Pa) exerted on an object is an inverse proportional function of its force-bearing area S (m²). The graph of the function is shown. When S = 0.25 m², the pressure p exerted on the object is ( ). | B | ['100', '400', '1000', '2500'] | multi_choice |
func933 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/933.png | The hyperbolas l₁: y = -6 / x and l₂: y = k / x (k > 0) are shown in the diagram. Point A is a point on l₁. A perpendicular AB is drawn from point A to the x-axis, and a perpendicular AC is drawn from point A to the y-axis, with the feet of the perpendiculars being points B and C, respectively. AB intersects l₂ at point D. If the area of △AOD is 2, find the value of k ( ). | D | ['4', '-4', '2', '-2'] | multi_choice |
func934 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/934.png | As shown in the figure, point A moves on the positive half of the x-axis and the positive half of the y-axis. Point A starts from the origin and successively passes through points A1(0,1), A2(1,0), A3(2,0), A4(0,2), A5(0,3), A6(3,0), A7(4,0), A8(0,4)… Following this pattern, the coordinates of point A2023 are ( ). | D. (1012, 0) | ['(0, 1013)', '(1013, 0)', '(0, 1012)', '(1012, 0)'] | multi_choice |
func935 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/935.png | As shown in the figure, the parabola y = ax² + bx + c intersects the positive half of the x-axis at points A and B(6,0), and intersects the negative half of the x-axis at point C. ① b² - 4ac > 0; ② a + c < b; ③ (a + b > 0). Among these conclusions, the number of correct statements is (). | D | ['0', '1', '2', '3'] | multi_choice |
func937 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/937.png | As shown in the figure, the line y = -2x + 2 intersects the line y = kx + b (where k and b are constants, k ≠ 0) at point A(m, 4). Then the solution set of the inequality -2x + 2 < kx + b is ( ). | A | ['x > -1', 'x < -2', 'x < -1', 'x > -2'] | multi_choice |
func938 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/938.png | Chess originated in China, and the Chinese chess culture has a long history. As shown in the image, it represents a part of Chinese chess. If the 'Shuai' is located at point (2, -1) and the 'Pao' is located at point (3, 1), then the 'Bing' is located at point ( ). | A | ['(0,2)', '(-3,3)', '(-2,0)', '(-2,1)'] | multi_choice |
func939 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/939.png | In a certain city, typhoons often occur during summer, causing significant inconvenience for people's travel. Xiao Ming observed the wind force changes over 12 consecutive hours on August 16 and plotted a graph showing the variations in wind force over time (as shown in the figure). Which of the following statements is correct? ( ) A. The wind force is minimal at 8:00. B. From 8:00 to 12:00, the maximum wind force is 7 levels. C. From 8:00 to 14:00, the wind force continuously increases. D. From 15:00 to 20:00, the wind force continuously decreases. | D | ["The wind force is the smallest at 8 o'clock.", "The wind force is the largest at 7 levels from 8 o'clock to 12 o'clock.", "The wind force increases continuously from 8 o'clock to 14 o'clock.", "The wind force decreases continuously from 15 o'clock to 20 o'clock."] | multi_choice |
func94 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/94.png | The following table shows the billing details for two phone plans:
Monthly Fee (in yuan) | Outgoing Call Time Limit (in minutes) | Over-limit Fee for Outgoing Calls (yuan/min) | Incoming Calls
Plan 1: 58 | 150 | 0.25 | Free
Plan 2: 88 | 350 | 0.19 | Free
Note: The monthly fee is fixed. If the outgoing call duration does not exceed the limit, no additional charge is incurred; if it exceeds the limit, the extra duration is charged as per the plan. Incoming calls are free. The graph shows the relationship between the total cost y (in yuan) and the outgoing call time t (in minutes) for both plans. Determine the value of t when the total costs are equal. | 270 | NULL | free_form |
func940 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/940.png | 1. As shown in the figure, in the plane rectangular coordinate system, the coordinates of points A, B, and C are A(-4,0), B(4,0), and C(0,3), respectively. Connect AC and BC. If AC = BC = 5, and point M is a moving point on line BC, when AM is the shortest, find AM = ( ). | B | ['5', '24/5', '12/5', '3'] | multi_choice |
func941 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/941.png | As shown in the figure, the line y = -2x + 15 intersects the line y = kx + b (where k and b are constants, k ≠ 0) at point A(n, 5). Then the solution set for the inequality -2x + 1 < kx + b with respect to x is ( ). | D. x > -2 | ['x > -1', 'x < -2', 'x < -1', 'x > -2'] | multi_choice |
func942 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/942.png | As shown in the figure, in the Cartesian coordinate system, there are several points whose x-coordinates and y-coordinates are integers, arranged sequentially in the direction indicated by the '-' in the diagram: (1,0) → (2,0) → (2,1) → (1,1) → (1,2) → (2,2) → ... . Based on this pattern, the coordinates of the 2024th point are ( ). | A | ['(45,1)', '(45,2)', '(45,3)', '(45,4)'] | multi_choice |
func945 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/945.png | The relationship between the weight of salt dissolved in a certain amount of water (y/g) and the temperature (t/°C) is shown in the figure. Which of the following statements is correct?
A. When the temperature is 60°C, the weight of salt dissolved in a certain amount of water is 49g.
B. The weight of salt dissolved in a certain amount of water increases as the temperature rises.
C. When the temperature is 40°C, the weight of salt dissolved in a certain amount of water is the maximum.
D. To make the weight of salt dissolved in a certain amount of water greater than 43.6g, the temperature can only be controlled between 40°C and 80°C. | C | ['When the temperature is 60°C, the weight of the salt dissolved in water is 49g.', 'The weight of the salt dissolved in water increases with the increase in temperature.', 'When the temperature is 40°C, the weight of the salt dissolved in water is the largest.', 'To ensure that the weight of the salt dissolved in water is greater than 43.6g, the temperature can be controlled between 40°C and 80°C.'] | multi_choice |
func946 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/946.png | As shown in the diagram, the graphs of functions v1 = -2x and v2 = ax + 3 intersect at point A(m, 2). Then the solution set for the inequality -2x > ax + 3 is ( ). | C. x < -1 | ['x > -1', '-1 < x < 0', 'x < -1', '-3 < x < -1'] | multi_choice |
func947 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/947.png | As shown in the figure, the following graph illustrates the relationship between the driving speed of a car (km/h) and time (minutes). How many of the following statements are correct? ( ) (1) The car drove for a total of 40 minutes. (2) AB represents the car moving at a constant speed. (3) At the 25th minute, the car's speed was 90 km/h. (4) At the 40th minute, the car stopped. A. 1 B. 2 C. 3 D. 4 | C | ['1', '2', '3', '4'] | multi_choice |
func948 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/948.png | As shown in the figure, given that the line y = x + b intersects with y = kx + 3 at point A, the solution of the system of two linear equations {y = kx + 3, y = x + b} for x and y is ( ). | A | ['\\( \\begin{cases} x = 1 \\\\ y = 2 \\end{cases} \\)', '\\( \\begin{cases} x = 2 \\\\ y = 1 \\end{cases} \\)', '\\( \\begin{cases} x = 0 \\\\ y = 3 \\end{cases} \\)', '\\( \\begin{cases} x = 1 \\\\ y = 3 \\end{cases} \\)'] | multi_choice |
func949 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/949.png | It is known that the graph of the linear function y = kx + b is shown in the figure. What is the nature of the roots of the binary quadratic equation kx² + bx + k = 0? | B. Two unequal real roots | ['There are two equal real roots', 'There are two unequal real roots', 'There are no real roots', 'Cannot be determined'] | multi_choice |
func95 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/95.png | Xiaoming establishes a rectangular coordinate system for a cross-section of a shaft, taking the straight line on the bottom edge of the shaft cross-section as the x-axis and the axis of symmetry as the y-axis, as shown in the figure. If the unit length of the coordinate axis is 1 mm, then the coordinates of the turning point P in the figure are ________. | (9, 10) | NULL | free_form |
func950 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/950.png | As shown in the diagram, Class 1 is located at point A and Class 2 is located at point B, 5 meters away. Describe the position of Class 1 relative to Class 2 in terms of direction and distance ( ). | D. 50° north-east, 5 meters away | ['South-east 50°, 5m', 'South-west 50°, 5m', 'North-west 50°, 5m', 'North-east 50°, 5m'] | multi_choice |
func951 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/951.png | As shown in the figure, the graphs of the linear functions y1 = kx + 4 and y2 = x + b intersect at point P(1,3). What is the solution set of the inequality x + b ≤ kx + 4 with respect to x? | D. x ≤ 1 | ['x ≥ 3', 'x ≤ 3', 'x ≥ 1', 'x ≤ 1'] | multi_choice |
func952 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/952.png | As shown in the diagram, the four graphs respectively represent the relationships between variables. Please, in the order of the graphs, match the following four scenarios to them.
a. The shot put thrown by an athlete (relationship between the height of the shot put and time);
b. A car moving at a constant speed on a straight road (relationship between the distance traveled by the car and time);
c. A spring changing in length as weights are incrementally added (relationship between the length of the spring and the mass of the weights);
d. Xiaoming traveling from point A to point B, staying there for a period of time, and then returning to point A at the same speed and along the same route (relationship between Xiaoming's distance from point A and time).
The correct order is ( )
A. abcd B. ahdc C. acbd D. acdb | D | ['abdc', 'ahdc', 'acbd', 'acdb'] | multi_choice |
func953 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/953.png | As shown in the figure, in the Cartesian coordinate system, the points covered by the circular shadow could be ( ). | C | ['(1, 2)', '(-2, -1)', '(-2, 1)', '(2, -1)'] | multi_choice |
func954 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/954.png | As shown in the figure, a maple leaf is fixed in a square grid. If the coordinates of point A are (-1, -1) and the coordinates of point B are (1, -1), then the coordinates of point C are ( ). | A | ['(0, 1)', '(1, 0)', '(1, 1)', '(-1, 1)'] | multi_choice |
func955 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/955.png | In a rectangular coordinate plane where the unit lengths of the horizontal axis and vertical axis are equal, the positions of points M(1,1) and N(5,0) are shown in the diagram. What could be the origin of this coordinate system? | B. Point B | ['Point A', 'Point B', 'Point C', 'Point D'] | multi_choice |
func956 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/956.png | 2. For the quadratic function y = ax² + bx + c (a ≠ 0), the graph is shown in the figure below. The following conclusions are given: ① abc > 0; ② b + 4a = 0; ③ b + c > 0; ④ If the graph has two points (x₁, y₁) and (x₂, y₂) where 0 < x₁ < x₂, then y₁ + y₂ = 4. The number of correct conclusions is ( ). | C. 3 | ['1', '2', '3', '4'] | multi_choice |
func958 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/958.png | 7. The position of point A is shown in the figure. Which of the following descriptions about the location of point A is correct? () | C. 5 km northwest of point O at an angle of 40° | ['In the direction of 40° northwest, 5km away', '5km away from point O', 'In the direction of 40° northwest from point O, 5km away', 'In the direction of 50° northwest from point O, 5km away'] | multi_choice |
func959 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/959.png | As shown in the figure, given point A₁(1,0), A₂(1,1), A₃(0,1), A₄(-1,1), A₅(-1,0), A₆(-1,-1), A₇(0,-1), A₈(1,-1), …, what are the coordinates of point A₂₀₂₄? | D | ['(-507, -507)', '(507, 507)', '(507, -506)', '(-506, -506)'] | multi_choice |
func96 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/96.png | As shown in the figure, given the quadratic function y1 = ax^2 + bx + c and the linear function y2 = mx + n, based on the graph, the range of x when y2 ≥ y1 is ________. | -2 ≤ x ≤ 1 | NULL | free_form |
func961 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/961.png | As shown in the figure, it is a part of the Go board. After establishing a rectangular coordinate system, the coordinate of black stone ① is (1, -4) and the coordinate of white stone ② is (-3, -1). What is the coordinate of white stone ③? | A. (-2, -5) | ['(-2, -5)', '(0, 0)', '(5, 1)', '(0, -1)'] | multi_choice |
func962 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/962.png | As shown in the diagram, which illustrates the height changes of a boy and a girl from elementary school to high school, which of the following statements about their height growth rate is incorrect? | D | ["The boy's growth rate is fastest at the age of 12.", "The boy's height growth rate can reach 7 cm/year.", "The girl's growth rate is faster than the boy's at the age of 10.", "The girl's height growth rate can reach 7 cm/year."] | multi_choice |
func964 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/964.png | As shown in the figure, the graphs of the functions y = -2x and y = kx + 4 intersect at point A(m, 4). Then the solution set of the inequality kx + 4 + 2x ≥ 0 with respect to x is ( ). | C. x ≥ -2 | ['x ≥ 4', 'x ≤ 4', 'x ≥ -2', 'x ≤ -2'] | multi_choice |
func965 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/965.png | As shown in the figure, in △AOB, OA=OB=8, the coordinates of point C are (0,2), and point P is a moving point on OB. Connect CP, and rotate CP counterclockwise by 90° around point C to obtain line segment CD, making point D fall on AB. What are the coordinates of point D? | D. (2,6) | ['(2, 4)', '(6, 2)', '(2, 5)', '(2, 6)'] | multi_choice |
func966 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/966.png | Tangram, also known as Seven Boards of Skill or Wisdom Puzzle, is an ancient traditional Chinese puzzle game. It consists of seven pieces: five isosceles right triangles, one square, and one parallelogram, which can be arranged to form various shapes such as humans, animals, buildings, letters, and more. As shown in the figure, these pieces are assembled to form a 'small boat.' If the coordinates of point A are (-2, 1) and the coordinates of point B are (0, -1), what are the coordinates of point C? | D | ['(-3, 0)', '(-2, 3)', '(2, -4)', '(-3, -2)'] | multi_choice |
func967 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/967.png | As shown in the figure, the vertices O, A, and C of □OABC have coordinates (0, 0), (3, 0), and (1, 2), respectively. What are the coordinates of vertex B? | A. (4, 2) | ['(4,2)', '(2,4)', '(4,3)', '(3,4)'] | multi_choice |
func968 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/968.png | In mathematician Keller's '100-meter sprint mathematical model,' the first 30 meters is the 'acceleration phase,' from 30 meters to 80 meters is the 'medium-speed phase,' and from 80 meters to 100 meters is the 'sprint phase.' One time during Xiao Bin's 100-meter sprint, the relationship between his speed v (m/s) and distance x (m) is shown in the graph. Based on the graph, analyze which of the following statements is incorrect ( ) | B | ['The speed of the runner at 15 meters is 6.5 m/s', 'The speed of the runner is the highest at the end of the acceleration phase', 'In the middle phase, the speed of the runner first increases and then decreases', 'In the sprint phase, the speed of the runner increases to the maximum'] | multi_choice |
func969 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/969.png | As shown in the figure, cargo ship B is 35 nautical miles away from port A. The position of cargo ship B relative to port A is described by the ordered pair (South 40° West, 35 nautical miles). Then the position of port A relative to cargo ship B can be described as ( ). | D. (North 40° East, 35 nautical miles) | ['(southwest 50°, 35 nautical miles)', '(northwest 40°, 35 nautical miles)', '(northeast 50°, 35 nautical miles)', '(northeast 40°, 35 nautical miles)'] | multi_choice |
func97 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/97.png | As shown in the figure, the vertices A and C of rectangle OABC are located on the positive x-axis and y-axis respectively. The graph of the inverse proportional function y=9/x intersects sides AB and BC of the rectangle at points D and E respectively. Line DE intersects the x-axis at point F. If the area of △ADF is 9/4, then the area of rectangle OABC is __________. | 18 | NULL | free_form |
func970 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/970.png | In the rectangular coordinate plane, the graph of the linear function y=2x-5 is shown as in the figure. Which of the following statements is incorrect? ( )
A. When x > 0, y > -5
B. The solution to the equation 2x-5=0 is x=5/2
C. When y < 0, x < -5
D. The solution set for the inequality 2x-5 > 0 is x > 5/2 | C | ['When \\(x > 0\\), \\(y > -5\\)', 'The solution to the equation \\(2x - 5 = 0\\) is \\(x = \\frac{5}{2}\\)', 'When \\(y < 0\\), \\(x < -5\\)', 'The solution set to the inequality \\(2x - 5 > 0\\) is \\(x > \\frac{5}{2}\\)'] | multi_choice |
func971 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/971.png | As shown in the figure, in a Cartesian coordinate plane, a moving point starts from the origin O and travels along the indicated direction, reaching points P1, P2, P3, ..., and so on. Relevant data is given in the figure. What is the y-coordinate of point P2024? ( ) | D. 1 | ['0', '√2/2', '-√2/2', '1'] | multi_choice |
func972 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/972.png | It is known that the voltage of the battery U (unit: V) is constant. When using the battery, the current I (unit: A) and resistance R (unit: Ω) are inversely proportional. Its graph is shown in the figure. What is the voltage of the battery? | D | ['4/9 V', '9/4 V', '18 V', '36 V'] | multi_choice |
func973 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/973.png | If the flat schematic of a classroom is given, and Xiaoqiang's seat, marked as '2nd column, 4th row,' is represented as (2,4), while Xiaohua's seat is at (5,3), which of the following four seats is adjacent to Xiaohua's seat? | B | ['(6,1)', '(4,3)', '(3,4)', '(3,3)'] | multi_choice |
func974 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/974.png | As shown in the figure, P is any point on the curve of the function y = 4/x in the first quadrant. The point P' is the symmetric point of P about the origin. Through P, draw P'A parallel to the y-axis; through P', draw P'A parallel to the x-axis. P'A and P'A intersect at point A. Then the area of △PAP' is ( )
A. Changes with the position of point P
B. Equals 8
C. Equals 4
D. Equals 6 | B | ['Changes with the position of point P', 'Equals 8', 'Equals 4', 'Equals 6'] | multi_choice |
func975 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/975.png | As shown in the figure, the gate of a company is a parabolic-shaped structure. The width of the gate at ground level and the height of the highest point of the gate from the ground are both 8m. The company plans to install one wall lamp on each side of the gate at a height of 5m from the ground. The horizontal distance between the two wall lamps is ( ). | A. 2√6m | ['√6m', '2√5m', '2√3m', '4m'] | multi_choice |
func976 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/976.png | The graph of the quadratic function y = ax^2 + bx + c is shown in the figure. Which of the following statements is correct? ( ) | B | ['a > 0, b > 0, c > 0', 'a > 0, b < 0, c > 0', 'a > 0, b > 0, c < 0', 'a > 0, b < 0, c < 0'] | multi_choice |
func977 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/977.png | As shown in the figure, when x takes what values, is the graph of the function in the third quadrant ( )? | D | ['x < -2', 'x > -1', '-2 < x < -1', '-2 < x < 0'] | multi_choice |
func978 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/978.png | As shown in the figure, point A is on the hyperbola graph of an inverse proportional function. AB is perpendicular to the x-axis, and the area of △OAB is 2. What could be the coordinates of the point where the ink butterfly lands on the hyperbola graph of the inverse proportional function? | C | ['(1, 2)', '(1, 3)', '(1, 4)', '(1, 5)'] | multi_choice |
func979 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/979.png | As shown in the figure, y1 and y2 respectively represent the relationship between the cost y (unit: yuan) required by a certain brand of fuel-powered vehicles and electric vehicles and the driving distance S (unit: kilometers). The driving distance for a fuel-powered vehicle costing 25 yuan and an electric vehicle costing 10 yuan is the same. It is known that the cost per kilometer of a fuel-powered vehicle is 0.1 yuan more than 2 times the cost per kilometer of an electric vehicle. Let the cost per kilometer of an electric vehicle be x yuan, then the equation can be established as ( ). | D | ['\\( \\frac{25}{2x + 0.1} = 10 \\)', '\\( \\frac{25}{2x - 0.1} = 10 \\)', '\\( \\frac{25}{2x + 0.1} = 0 \\)', '\\( \\frac{25}{2x + 0.1} = 1 \\)'] | multi_choice |
func98 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/98.png | As shown in the figure, given A(-3,3) and B(-1,1.5), the line segment AB is shifted to the right by d units such that points A and B simultaneously land on the graph of the inverse proportional function y=6/x (x>0), with the corresponding points being A' and B' respectively. What is the value of d? | 5 | NULL | free_form |
func980 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/980.png | As shown in the figure, in the Cartesian coordinate plane, △ABO has vertices A, B, and O with coordinates (1,0), (0,1), and (0,0) respectively. Points P1, P2, P3, … have adjacent points symmetric concerning one of the vertices of △ABO. For instance, P1 and P2 are symmetric about point A; P2 and P3 are symmetric about point B; P3 and P4 are symmetric about point O; P4 and P5 are symmetric about point A; P5 and P6 are symmetric about point B; P6 and P7 are symmetric about point O, and this cycle continues. Given that the coordinates of P1 are (1,1), find the coordinates of P2024. | B | ['(1,1)', '(1,-1)', '(-1,3)', '(1,-3)'] | multi_choice |
func982 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/982.png | As shown in the diagram, in the Cartesian coordinate system xOy, the moving point P moves sequentially in the direction indicated by the arrows. The first move is from point (-1, 0) to point (0, 1), the second move is to point (1, 0), the third move is to point (2, -2), and so on. Following this movement pattern, the moving point P will be at which point after the 2024th move? | A | ['(2023, 0)', '(2024, -2)', '(2023, 1)', '(2024, 0)'] | multi_choice |
func983 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/983.png | As shown in the figure, in the Cartesian coordinate plane, A1(1,2), A2(2,0), A3(3,-2), A4(4,0)... Based on this pattern, find the coordinates of point A2024 ( ). | A | ['(2024, 0)', '(2024, 2)', '(2024, -2)', '(2024, 1)'] | multi_choice |
func984 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/984.png | As shown in the figure, point O(0,0) and point A(0,1) are two vertices of the square OAA1B. Using the diagonal OA as a side, construct the square OA1A2B1, then using the diagonal OA1 of the square OA1A2B1 as a side, construct the square OA2A3B2, and so on according to this pattern. What are the coordinates of point A2024? | C | ['(2^1012, 0)', '(-2^1012, 0)', '(0, 2^1012)', '(0, -2^1012)'] | multi_choice |
func985 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/985.png | As shown in the figure, in the rectangular coordinate system, the coordinates of vertices B, C, and D of quadrilateral ABCD are (-5, 0), (0, 0), and (2, 3), respectively. What are the coordinates of vertex A? | D | ['(-2, 3)', '(-3, 2)', '(-2, 2)', '(-3, 3)'] | multi_choice |
func987 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/987.png | As shown in Figure 1, given that rectangle ABCD (AB > AD) has a point on side AD, point P starts from point B and moves along the broken line B-E-D to point D, where it stops. At the same time, point Q starts from point B and moves along BC to point C, where it stops. Both points P and Q have a speed of 1 cm/s. Let the movement time be y (s), and the area of △BPF be y1 (cm²). If the relationship between y and x is as shown in Figure 2, then the area of △ABF is ( ). | B. 54 cm² | ['120 cm²', '54 cm²', '24 cm²', '60 cm²'] | multi_choice |
func988 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/988.png | The square OBCD is shown in the rectangular coordinate system as illustrated. Point O(0, 0) and point D(0, 6), then the coordinates of point C are ( ). | D | ['(6, 3)', '(3, 6)', '(0, 6)', '(6, 6)'] | multi_choice |
func989 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/989.png | As shown in the figure, in the rectangle ABCD, side AB lies on the positive x-axis, and side CD is in the first quadrant. AB=3, BC=4. When point D lies on the graph of the reciprocal function y=k/x (x>0), the midpoint E of BC is also exactly on the graph of y=k/x (x>0). What is the value of k? ( ) | D | ['6', '8', '10', '12'] | multi_choice |
func99 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/99.png | As shown in the figure, in the rectangular coordinate plane, points A and B lie on the graphs of the inverse proportion functions y=4/x (x<0) and y=-1/x (x>0), respectively. The equation x^2-ax+1 is a perfect square trinomial. Point C is located in the first quadrant, AC is perpendicular to the x-axis at point P, BC is perpendicular to the y-axis at point Q. Connect AB and PQ. It is known that the y-coordinate of point A is -2.
(1) The coordinates of point A are __________.
(2) If the coordinates of point B are 2, and the area of quadrilateral APQB is 8, then the equation of the straight line containing segment AB is __________. | (-1, -2) and y = -7/3x + 1/3 | NULL | free_form |
func990 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/990.png | As shown in the figure, a science interest group of students who love programming has written an electronic frog-jumping program. Frog P jumps in the plane rectangular coordinate system in the direction indicated by the arrow in the figure. During the 1st jump, it jumps from the origin to the point (1,1), during the 2nd jump, it jumps to the point (2,0), and during the 3rd jump, it jumps to the point (3,2), and so on. Following this jumping pattern, after the 2024th jump, the coordinates of frog P are ( ). | A. (2024, 0) | ['(2024, 0)', '(2024, 1)', '(2023, 1)', '(2024, 2)'] | multi_choice |
func991 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/991.png | As shown in the figure, point A is on the graph of the inverse proportional function y=k/x. A line parallel to the x-axis passes through point A and intersects the graph of the inverse proportional function y=-3/x at point B. Point C is on the x-axis, and the area of △ABC is 2. What is the value of k? ( ) | B | ['7', '-7', '-5', '5'] | multi_choice |
func992 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/992.png | As shown in the figure, in a plane Cartesian coordinate system, semicircles O1, O2, O3, O4, ..., each with a radius of 1 unit, form a smooth curve. Point P starts from the origin O and moves to the right along this curve at a speed of π/2 units per second. What are the coordinates of point P at the 2024th second? | B | ['(2024, -1)', '(2024, 0)', '(2025, 0)', '(2025, -1)'] | multi_choice |
func993 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/993.png | As shown in the figure, in rectangle ABCD, AB=4, AD=2, and AB lies on the x-axis. Taking point A as the center and the diagonal AC as the radius, an arc is drawn intersecting the positive x-axis at point M. What are the coordinates of point M? | C. (2√5 - 1, 0) | ['(2√5 + 0, 0)', '(2√5 + 1, 0)', '(2√5 - 1, 0)', '(2√5, 0)'] | multi_choice |
func994 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/994.png | The parabola y = -x² + bx + c has a partial graph as shown in the diagram. If y > 3, then the range of x is ( ). | B. -2 < x ≤ 0 | ['-4 < x < 1', '-2 < x < 0', 'x < -4 or x > 1', 'x < -2 or x > 0'] | multi_choice |
func995 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/995.png | 3. The graph of the quadratic function y=ax^2+bx+c (a≠0) is shown, which of the following statements is incorrect? | A | ['abc < 0', 'The maximum value of the function is \\(\\frac{4ac - b^2}{4a}\\)', 'When \\(x = -\\frac{b}{2a}\\), \\(y = 0\\)', '\\(4a + 2b + c < 0\\)'] | multi_choice |
func996 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/996.png | As shown in the figure, a particle moves in the first quadrant and on the x-axis or y-axis. After the first minute, it moves from the origin to the point (1,0). After the second minute, it moves from point (1,0) to point (1,1). Then it continues to move back and forth in the directions parallel to the x-axis and y-axis, as indicated by the arrows, moving a unit length per minute. What are the coordinates of the particle's position at the end of the 200th minute?
A. (1,4) B. (4,14) C. (13,4) D. (4,13) | B. (4,14) | ['(14,4)', '(4,14)', '(13,4)', '(4,13)'] | multi_choice |
func997 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/997.png | As shown in the figure, point P is an arbitrary point on the graph of the inverse proportional function y = k/x (k ≠ 0). A perpendicular line PM is drawn from point P to the x-axis, with M being the foot of the perpendicular. If the area of △POM equals 5, what is the value of k? | A | ['-10', '10', '-5', '5'] | multi_choice |
func998 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/998.png | Admiring the blooming flowers, the beautiful Wu Gorge looks like a painting. A 'backpacker' set out from home to the park to appreciate the flowers at 8:00 AM. The distance he covered (in kilometers) as it changes over time (in hours) is depicted in the graph. Among the following statements, which one is incorrect?
A. He rested for half an hour during the journey.
B. By 10:00, he had covered approximately 9 kilometers.
C. In this scenario, the independent variable is time, and the dependent variable is distance.
D. His average speed from the point of rest to reaching the final destination was approximately 5 kilometers per hour. | D | ['He took a half-hour break on the way.', 'The distance traveled at 10 hours is 9 kilometers.', 'In this process of change, the independent variable is time, and the dependent variable is distance.', 'The average speed from the end of the break to the destination is 5 kilometers per hour.'] | multi_choice |
func999 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/999.png | As shown in the figure, the quadratic function y = ax^2 + bx + c intersects the x-axis at points (-2, 0) and (4, 0). Among the following statements: ① ac < 0; ② The roots of the equation ax^2 + bx + c = 0 are x1 = -2, x2 = 4; ③ When x > 1, y increases as x increases. The correct statements are ( ). | D | ['0', '1', '2', '3'] | multi_choice |
geo1 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/1.png | Find m \angle C. | 51.75 | NULL | free_form |
geo2 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/2.png | Find x. | 5 \sqrt { 13 } | NULL | free_form |
geo3 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/3.png | Find the perimeter of the figure. Round to the nearest tenth if necessary. | 92.5 | NULL | free_form |
geo4 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/4.png | In the figure, m \angle 11 = 62 and m \angle 14 = 38. Find the measure of \angle 3. | 62 | NULL | free_form |
geo5 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/5.png | What is the value of x below to the nearest tenth? | 9.7 | NULL | free_form |
geo6 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/6.png | Find the circumference of the figure. Round to the nearest tenth. | 36.4 | NULL | free_form |
geo7 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/7.png | If N Q and V X are medians, \triangle P N R \sim \triangle W V Y, N Q = 8, P R = 12, W Y = 7 x - 1, and V X = 4 x + 2, find x. | 4 | NULL | free_form |
geo8 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/8.png | Find x. | 2 | NULL | free_form |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.