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func1100 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1100.png | As shown in the figure, given that the graph of the linear function y = mx + n passes through point P(-2, 3), the solution set for the inequality mx + n > 3 is (). | D. x < -2 | ['x > -3', 'x < -3', 'x > -2', 'x < -2'] | multi_choice |
func1101 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1101.png | "The fairy maiden glides in dustless socks, gracefully stepping on the water under the faint moonlight." The Song dynasty poet Huang Tingjian used the metaphor of a water fairy to describe the narcissus flower. As shown in the figure, the narcissus flower is placed within a square grid where points A, B, C are all on grid points. If point A(-2,3) and point B(0,1), then the coordinates of point C are ( ). | C. (1, 2) | ['(4,2)', '(2,2)', '(1,2)', '(2,1)'] | multi_choice |
func1104 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1104.png | Xiao Liang's father went to a gas station to refuel. If the display on the fuel dispenser shows that the amount changes with the variable, which of the following statements is correct? | D. The quantity is the independent variable | ['The amount of money is a constant', 'The unit price is a variable', '7.76 and 31 are constants', 'The quantity is a variable'] | multi_choice |
func1106 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1106.png | As shown in the figure, in a Cartesian coordinate system, the quadrilateral AOBC is a rhombus. If the coordinates of point A are (3, 4), what are the coordinates of point C? | C | ['(6, 4)', '(7, 4)', '(8, 4)', '(9, 4)'] | multi_choice |
func1107 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1107.png | As shown in the figure, in a plane Cartesian coordinate system, a particle M begins at point P0(1, 0) and moves upward 1 unit to P1(1, 1), then left 2 units to P2(-1, 1), then downward 3 units to P3(-1, -2), then right 4 units to P4(3, -2)... continuing in this manner. Let Pn(xn, yn), where n = 1, 2, 3,..., find the value of x2022 + x2023 + x2024 = ( ). | C | ['0', '-1011', '1012', '-1012'] | multi_choice |
func1108 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1108.png | As shown in the figure, Xiao Ming and his father are playing on a seesaw. It is known that Xiao Ming's weight is 50kg, and the distance from the fulcrum of the seesaw is 1.2m. Let the father's weight be x kg, and the distance from the fulcrum of the seesaw be y m. To keep the seesaw balanced, the relationship between x and y should satisfy ( ). | C | ['y = 60x', 'y = x/60', 'y = 60/x', 'y = 50x'] | multi_choice |
func1109 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1109.png | As shown in the figure, given ∠BOA=30°, ∠COA=150°, and OD bisects ∠BOC, if point B is represented as (2, 30°) and point C is represented as (4, 150°), then point D can be represented as ( ). | C | ['(3, 75°)', '(75°, 3)', '(3, 90°)', '(3, 60°)'] | multi_choice |
func111 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/111.png | As shown in the figure, in the Cartesian coordinate plane, triangle △AOC has its side OA on the y-axis, point C in the first quadrant, and point B as the midpoint of AC. The hyperbolic function y = k / x (x > 0) passes through points B and C. If the area of △AOC is 12, what is the value of k? | 8 | NULL | free_form |
func1110 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1110.png | 6. One day, Xiaoqiang ran from home to the stadium to exercise. After exercising for a while, he walked to a stationery store to buy pens, and then strolled back home. The graph illustrates the relationship between the distance Xiaoqiang was from his home (y in km) as a function of time. Which of the following options is incorrect? | D | ['小强从家到体育场用了15分钟', '体育场离文具店1千米', '小强在文具店停留了20分钟', '小强从文具店回家的平均速度是18/7千米/时'] | multi_choice |
func1111 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1111.png | The J-20 is China's independently developed fifth-generation fighter jet. As shown in the figure, Xiao Ming placed an image of the J-20 plane into a grid. If point B's coordinates are (1, -2) and point C's coordinates are (-1, 1), then the coordinates of point A are ( ). | A | ['(-9, 2)', '(-7, 3)', '(-6, 4)', '(-10, 2)'] | multi_choice |
func1112 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1112.png | A self-driving delivery car with a constant driving speed departs from the company, reaches Station A to unload parcels, immediately heads to Station B, and then returns to the company along the same route after unloading parcels. It is known that the company, Station A, and Station B are all on the same straight line, and the unloading time at each station is the same. The relationship between the car's distance traveled (s) and time (t) is shown in the graph. How long does the delivery car spend unloading parcels at each station? | D. 5 minutes | ['4 minutes', '6 minutes', '7 minutes', '5 minutes'] | multi_choice |
func1113 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1113.png | As shown in the figure, a particle moves within the first quadrant and along the x-axis and y-axis. In the first minute, it moves from the origin to the point (1, 0). In the second minute, it moves from the point (1, 0) to the point (1, 1). Then, it moves back and forth in directions parallel to the x-axis and y-axis as indicated by the arrows in the figure, with a movement of one unit length per minute. What is the coordinate of the particle's position at the 2024th minute?
A. (44, 5)
B. (5, 44)
C. (44, 0)
D. (0, 44) | C | ['(44, 5)', '(5, 44)', '(44, 0)', '(0, 44)'] | multi_choice |
func1114 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1114.png | As shown in the figure, the vertices O, A, and C of the parallelogram OABC have coordinates (0,0), (3,0), and (2,3), respectively. What are the coordinates of vertex B? | A | ['(5,3)', '(3,3)', '(4,3)', '(3,5)'] | multi_choice |
func1115 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1115.png | In Chinese chess, a knight moves in the shape of the character '日', commonly referred to as 'the knight moves in an L-shape'. Three chess pieces are positioned as shown at (0,2). What are the coordinates of the point where the knight lands directly in the first quadrant? | C. (1,1) | ['(2,1)', '(2,2)', '(1,1)', '(1,2)'] | multi_choice |
func1116 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1116.png | Place the rectangular paper OABC in the plane Cartesian coordinate system as shown in the figure. P is a point on the edge BC (not coinciding with points B or C). Connect OP, and fold △OCP to obtain △OCP'. Then fold the paper again through point P so that the corresponding point B' of point B lies on the line PC'. The crease intersects the x-axis at point E. Given that point B(4,3), when the quadrilateral PBEB' is a square, the coordinates of point E are ( ). | C | ['(4, 2.5)', '(4, 1.5)', '(4, 2)', '(4, 1)'] | multi_choice |
func1117 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1117.png | As shown in the figure, point A lies on the graph of the inverse proportional function y = (k / x) (k < 0, x > 0), and point B also lies on the graph of the same function y = (k / x) (k < 0, x > 0). Line segments OA and AB are connected. If the midpoint C of line segment AB happens to lie on the x-axis and ∠5AOC = 5°, what is the value of k ( )? | D | ['-6', '-7', '-12', '-14'] | multi_choice |
func1119 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1119.png | 7. The combination of numbers and shapes is a commonly used method for solving mathematical problems. As shown in the figure, the line y=2x-1 intersects with the line y=-x+b at point P(2,m). Then, the solution set for the inequality 2x-b > -x+1 with respect to x is ( ). | B. x > 2 | ['x < 2', 'x > 2', 'x < 3', 'x > 3'] | multi_choice |
func112 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/112.png | As shown in the figure, the inverse proportion function y = k/x (k ≠ 0) has a point A, and the area of △AOB is 5. Then, the expression of this inverse proportion function is ________. | y = -10/x | NULL | free_form |
func1120 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1120.png | As shown in the figure, it is a butterfly specimen, where the coordinates of the top point C of the butterfly's wing are (3, 5), and the coordinates of the tail point A of the butterfly's wing are (-3, -1). What are the coordinates of the other tail point B of the butterfly's wing? | B. (-3, 1) | ['(3, -1)', '(-3, 1)', '(3, 1)', '(-3, -1)'] | multi_choice |
func1121 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1121.png | As shown in the figure, point A is on the ray Ox, with OA = 2. If OA is rotated counterclockwise by 30° around point O to become OB, then the position of point B can be represented by the length of OB and the angle of Ox rotated counterclockwise to OB, namely (2, 30°). If OB is extended to point C such that OC = 3, and then OC is further rotated counterclockwise by 45° to become OD, the position of point D can be represented as ( ). | D | ['(3, 30°)', '(3, 45°)', '(2, 75°)', '(3, 75°)'] | multi_choice |
func1122 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1122.png | As shown in the figure, in the plane rectangular coordinate system, OP=√13. With point O as the center of a circle and the length of OP as the radius, the circle intersects the negative x-axis at point A. The x-coordinate of point A lies in ( )
A. Between 3 and 4
B. Between 4 and 5
C. Between -4 and -3
D. Between -5 and -4 | C | ['Between 3 and 4', 'Between 4 and 5', 'Between -4 and -3', 'Between -5 and -4'] | multi_choice |
func1123 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1123.png | As shown in the figure, points A and B in the first quadrant are both on the graph of the inverse proportional function y = 9/x. Draw AC perpendicular to the x-axis at point C and BD perpendicular to the x-axis at point D. Connect AO and BO. If OC = 3CD, then the area of △AOB is ( ). | D | ['4/3', '9/4', '5/2', '21/8'] | multi_choice |
func1124 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1124.png | As shown in the figure, a moving point P travels in the plane Cartesian coordinate system in the direction indicated in the figure. The first time, it moves from the origin O to point P1(1,1); the second time to point P2(2,1); the third time to point P3(3,0); the fourth time to point P4(4,-2); the fifth time to point P5(5,0); the sixth time to point P6(6,2). Following this motion pattern, what is the y-coordinate of point P2024?
A. -2
B. 0
C. 1
D. 2 | C | ['-2', '0', '1', '2'] | multi_choice |
func1126 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1126.png | As shown in the figure, the graph of the linear function y₁ = k₁x + b (k₁ > 0) intersects with the graph of the inverse proportional function y₂ = k₂ / x (k₂ > 0) at points A and B. The x-coordinate of point A is 1, and the x-coordinate of point B is -2. When y₁ ≥ y₂, the range of x is ( ). | C | ['x ≤ -2 or x ≥ 1', 'x ≤ -2 or 0 < x ≤ 1', '-2 ≤ x < 0 or x ≥ 1', '-2 ≤ x < 0 or 0 < x ≤ 1'] | multi_choice |
func1127 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1127.png | 10. As shown in the figure, a small ant moves in a 'stair-climbing' pattern on a plane Cartesian coordinate system, following the route shown in the figure. In its 1st move, it moves from the origin to the point (1, 0). In its 2nd move, it moves to the point (1, 1). In its 3rd move, it moves to the point (2, 1), and so on. Following this pattern, what will the ant's coordinates be after the 2024th move? ( ) | D (1012, 1012) | ['(1011, 1010)', '(1011, 1011)', '(1012, 1011)', '(1012, 1012)'] | multi_choice |
func1128 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1128.png | As shown in Figure 1, in a right triangle △ABC, point P moves from point A to point B and then to point C before stopping. The velocity is 2 units/second, and the relationship between the length of BP and the time of motion (in seconds) is shown in Figure 2. What is the length of AC? | C. 17 | ['15√5/2', '√427', '17', '√5'] | multi_choice |
func1129 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1129.png | Cycling is a healthy and environmentally friendly way of sports tourism, and it is increasingly favored by people. If Xiaojun, a cycling enthusiast, observes the relationship graph of distance traveled (km) and time (h) while riding a bicycle one day, which of the following statements is incorrect? | A | ["Xiao Ming's actual riding time is 5h.", 'Point B indicates that Xiao Ming has ridden 80km from the starting point.', "The average speed of Xiao Ming's ride from 0 to 2h is 15km/h.", "The speed of Xiao Ming's ride from 0 to 2h is slower than that from 3 to 5h."] | multi_choice |
func113 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/113.png | As shown in the figure, the coordinates of points A and B are (5,0) and (6,3) respectively, and C is a point in the Cartesian coordinate system. If the quadrilateral OABC is a parallelogram, then the coordinates of point C are ____________. | (1,3) | NULL | free_form |
func1130 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1130.png | The moving point A₀ in the Cartesian coordinate system moves for the first time to A₁(1, 1), the second time to A₂(3, 0), the third time to A₃(3, 0), the fourth time to A₄(4, −1), the fifth time to A₅(−5, −1), the sixth time to A₆(6, 0), the seventh time to A₇(7, 1), and so on. Following the regular pattern of movement, after the 2024th movement, the coordinates of point A₂₀₂₄ are ( ). | A | ['(2024, 1)', '(337, 1)', '(2024, -1)', '(2024, 0)'] | multi_choice |
func1131 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1131.png | As shown in the figure, the graph of the inverse proportional function y = k/x passes through vertex B of the rectangle OABC. If the coordinates of point A are (-1, 0) and the coordinates of point C are (0, 2), what is the value of k? ( ) | D. -2 | ['2', '1', '-1', '-2'] | multi_choice |
func1133 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1133.png | The graphs of the inverse proportional functions y₁=8/x and y₂=k/x (k > 0) in the first quadrant are shown as below. Points A and B are on the graphs of y₁ and y₂, respectively, and AB ∥ x-axis. If the area of △AOB is 2, what is the value of k? | A | ['4', '6', '10', '12'] | multi_choice |
func1134 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1134.png | As shown in the figure, the edge length of the cube is x cm, and its surface area is y cm². What is the functional relationship between y and x? ( ) | D | ['y = x³', 'y = 6x³', 'y = x²', 'y = 6x²'] | multi_choice |
func1135 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1135.png | It is known that a moving point P moves at a speed of 2 cm per second along the frame shown in Figure A following the path B → C → D → E → F → B. The relationship between the area S of △ABP and time t is shown in Figure B. If a = 24, then the value of b is ( ). | C | ['15', '16', '17', '18'] | multi_choice |
func1137 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1137.png | As shown in the figure, point A is any point on the graph of the inverse proportional function y = k/x in the first quadrant, points B and C are on the positive half-axis of x and y respectively, and AC∥x-axis. The area of △ABC is 2. What is the value of k? | D. 4 | ['1', '2', '3', '4'] | multi_choice |
func1139 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1139.png | The students in the interest group used mathematical software to explore the graph of the function y = -(bx)/((x+a)^2). They entered a set of values for a and b and obtained the graph of the function as shown. Based on their understanding of functions, it can be inferred that the values of a and b must satisfy which of the following conditions ( )? | D | ['a < 0, b > 0', 'a > 0, b < 0', 'a > 0, b > 0', 'a < 0, b < 0'] | multi_choice |
func114 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/114.png | As shown in the figure, on the x-axis and y-axis, intercept OA and OB, respectively, such that OA = OB. Then using A and B as centers, draw circles with a radius greater than 1/2 the length of AB. The two arcs intersect at point P. If the coordinates of point P are (a, 2a-3), what is the value of a? | 3 | NULL | free_form |
func1141 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1141.png | As shown in the figure, a checkerpiece originally at point A on the board, represented as (1, 2), moves in the direction indicated by the arrow to point B. The correct representation of its path using ordered pairs is ( ). | D | ['(1, 2) → (4, 1) → (4, 5)', '(1, 2) → (1, 4) → (4, 5)', '(1, 2) → (4, 1) → (5, 4)', '(1, 2) → (1, 4) → (5, 4)'] | multi_choice |
func1142 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1142.png | A middle school is participating in the opening ceremony of a sports meet. To make the performance formation neat and orderly, several key points need to be marked on the playground. As shown in the diagram, if we establish a rectangular coordinate system, the coordinates of point A are (1, -2), and the coordinates of point B are (-1, 1). What are the coordinates of point C? | B | ['(-2, -3)', '(-3, -3)', '(-3, -2)', '(-4, -2)'] | multi_choice |
func1143 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1143.png | As shown in the figure, point P moves in the coordinate plane following the direction indicated by the arrows. The first movement is from the origin to point (1, 1), the second movement to point (2, 0), the third movement to point (3, 2), and so on. Following this movement pattern, what will be the coordinates of point P after the 2025th movement? | C | ['(2024, 0)', '(2024, 1)', '(2025, 1)', '(2025, 2)'] | multi_choice |
func1144 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1144.png | As shown in the figure, point A lies on the curve of the inverse proportional function y=4/x (x>0). Line AO intersects the curve of another inverse proportional function y=2/x (x>0) at point B. Draw BC perpendicular to the x-axis, with C as the foot of the perpendicular. Draw AD perpendicular to the x-axis as well, with D as the foot of the perpendicular. Then the area of quadrilateral ABCD is ( ). | A. 1 | ['1', '2', '3', '4'] | multi_choice |
func1145 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1145.png | Shengou Primary School has two adorable alpacas. The construction team plans to use a 15-meter long iron fence to enclose three connected rectangular alpaca feed warehouses along one side of the school wall. The total storage area is x square meters. To facilitate material retrieval, a 1-meter-wide gap is left between each warehouse as a passage, and a 1-meter-wide gap is left on the side parallel to the wall as a small door. If AB = x meters, the functional relationship regarding x is ( ). | A | ['y = x(18 - 4x)', 'y = x(16 - 2x)', 'y = x(17 - 2x)', 'y = x(15 - 4x)'] | multi_choice |
func1146 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1146.png | As shown in the figure, in the square grid, the coordinates of point A are (-1, 1), the coordinates of point B are (2, 0), then the coordinates of point C are ( ). | A. (1, -2) | ['(1, -2)', '(1, 1)', '(1, -1)', '(-2, 1)'] | multi_choice |
func1147 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1147.png | As shown in the figure, the straight line AB intersects the x-axis at point C and the hyperbolic function y=a/x (a>1) at points A and B. A perpendicular is drawn from point B to the y-axis at point D, with D being the foot of the perpendicular. If S_ABCD=4, what is the value of a?
A. 8 B. 9 C. 10 D. 11 | B | ['8', '9', '10', '11'] | multi_choice |
func1148 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1148.png | As shown in the figure, inspired by the parabola graph, Xiao Ming designed a trophy in the Cartesian coordinate plane. The height BD of the trophy is 7, and the cup's cross-sectional axis includes part of the parabola y = (4/7)x² + 6. What is the diameter of the cup's opening AC? ( ) | B. 7 | ['7/2', '7', '√7/2', '√7'] | multi_choice |
func1149 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1149.png | The game of Go originated in China. According to the pre-Qin classic 'Shiben', it is recorded that: 'Yi created the game of Go, and Dan Zhu excelled at it.' The pieces for Go are divided into two colors: black and white. As shown in the figure, this is a part of the Go board. When it is placed in a certain plane rectangular coordinate system, if the coordinates of the white piece (①) are (-3, -1) and the coordinates of the black piece (②) are (1, -4), then the coordinates of the white piece (③) are ( ). | C. (-2, -5) | ['(-2, -3)', '(1, -4)', '(-2, -5)', '(-5, -2)'] | multi_choice |
func115 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/115.png | As shown in the figure, quadrilateral ABCD is a rhombus. The coordinates of points A and B are (√3, 0) and (0, 1), respectively. Points C and D lie on the coordinate axes. What is the area of rhombus ABCD? ________. | 2√3 | NULL | free_form |
func1150 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1150.png | As shown in the figure, in the Cartesian coordinate system, the line y = kx + b (k ≠ 0) intersects the line y = −2x + 1 at point A(m, 3). Which of the following statements is incorrect? ( )
A. k > 0, b > 0
B. The line y = −2x + 1 passes through the first, second, and fourth quadrants.
C. The solution to the system of equations y = kx + b and y = −2x + 1 with respect to x and y is
D. The solution set for the inequality kx + b > −2x + 1 with respect to x is x > 1. | D | ['k > 0, b > 0', 'The line passing through the first, second, and fourth quadrants is y = -2x + 1', 'The solution of the equation kx + b = y is y = -2x + 1', 'The solution set of the inequality kx + b > -2x + 1 is y = -2x + 1'] | multi_choice |
func1151 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1151.png | The process reflected below is: Li Hong walked from home to the Sports Center Square, exercised there for a while, then went to a noodle shop for noodles, and finally walked back home. Where x represents time and y represents Li Hong's distance from home. Based on the graph, which of the following four statements is incorrect ( ) | B. The distance between the Sports Center Square and the noodle shop is 4 kilometers | ['The average speed of Li Xiaohong walking home from the noodle shop is 3 km/h', 'The distance from the sports center to the noodle shop is 4 km', 'Li Xiaohong stayed at the sports center for 15 minutes', "The distance from the sports center to Li Xiaohong's home is 2.5 km"] | multi_choice |
func1152 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1152.png | As shown in the figure, points A, B, and C are all on the grid points of the graph paper. If the coordinates of point B are (1, 0) and the coordinates of point C are (1, 1), then the coordinates of point A are ( ). | B. (-1, 2) | ['(1, 2)', '(-1, 2)', '(-1, -2)', '(2, -1)'] | multi_choice |
func1153 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1153.png | As shown in the figure, point A lies on the graph of the inverse proportional function y = k / (x < 0). Through point A, draw AB perpendicular to the x-axis, with foot B. Point C lies on the x-axis. If AB = 2 and OB = 1, which of the following statements is incorrect? A. The coordinates of point A are (-1, 2) B. The area of △ABC is |k/2 − 1| C. If point A and point C are symmetric about the origin, then point A is on the other branch of this inverse proportional function D. If point A and point C are symmetric about the x-axis, then point A is on the other branch of this inverse proportional function | C | ['The coordinates of point A are \\((-1, 2)\\).', '\\(S_{\\triangle ABC} = \\frac{|k|}{2} \\), also the area of the triangle formed by the inverse proportional function, then \\(m > 2\\).', 'If point M is on the inverse proportional function, then point M is on another branch of the inverse proportional function.'] | multi_choice |
func1154 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1154.png | As shown in the figure, in △ABC, vertex A is on the negative half of the X-axis, B(0,2), C(√5,2), AB=BC. △ABC is rotated counterclockwise around point A at a rate of 90° per second. After 2023 seconds of rotation, what are the coordinates of point B? | D | ['(-1, 4)', '(-3, 1)', '(2, -1)', '(1, -1)'] | multi_choice |
func1155 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1155.png | When the mass remains constant, the volume V (unit: m³) of an object is an inverse proportional function of its material density ρ (unit: kg/m³). The graph is shown as in the figure. Which of the following statements is correct ( ). | C | ['The mass of the object is 16kg', 'When ρ = 3.2 kg/m³, V = 6 m³', 'When V ≤ 10 m³, ρ ≥ 3.2 kg/m³', 'The function analytical formula is V = 21.6 / ρ'] | multi_choice |
func1157 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1157.png | As shown in the figure, when a ball is hit at a certain angle to the ground at a specific speed, its trajectory is a parabola. Ignoring air resistance, the ball lands after 4 seconds. The function relationship between the ball's flight height h (in meters) and the flight time t (in seconds) is given by h = -5t² + 20t (where a is a constant, a ≠ 0). The following conclusions are made: ① The value of a is -5; ② The maximum height the ball can reach is 21 m; ③ There are two moments during the flight when the ball's height reaches exactly 15 m. The correct number of these conclusions is ( ) A. 0 B. 1 C. 2 D. 3 | C | ['The value of a is -5;', "The maximum height of the ball's flight can reach 1m;", 'The height of the ball reaches 15m at two different times during the flight.'] | multi_choice |
func1158 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1158.png | As shown in the figure, in a Cartesian coordinate system, a moving point starts from the origin O and moves sequentially in the directions up, right, down, left... Each time it moves 2 units, resulting in points A1(0,2), A2(2,2), A3(2,0), A4(0,0)... What is the x-coordinate of point A4024 ( )? | B. 2024 | ['4048', '2024', '1012', '506'] | multi_choice |
func1159 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1159.png | As shown in Figure 1, a rectangle ABCD has two diagonals AC and BD intersecting at point O. A point P starts at point A and moves along the edges of the rectangle in the path AB → BC at a constant speed until it reaches point C. Assume that the speed of point P is 1 unit length per second, the time of motion is x seconds, and the length of segment OP is y. The functional relationship between y and x is shown in Figure 2, where a and b are the vertical coordinates of the lowest points of the two curves in the graph. Then, the value of a + b is (). | D | ['12', '14', '16', '17'] | multi_choice |
func116 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/116.png | As shown in the figure, the parabola y = ax^2 + bx + c (a ≠ 0) intersects the x-axis at points A and B, and its vertex is P. Connect AP. If AB = 12 and AP = 10, what is the value of a ________? | -2/9 | NULL | free_form |
func1160 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1160.png | As shown in the figure, the radar detector detects six targets A, B, C, D, E, and F. According to the specified method of representing targets, the positions of targets C and F are represented as C(7,120°) and F(6,210°), respectively. Using this method to represent the positions of targets A, B, D, and E, which one is incorrectly represented? ( ) | D | ['(6, 30°)', '(2, 90°)', '(5, 240°)', '(4, 60°)'] | multi_choice |
func1161 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1161.png | As shown in the figure, the parabola of the quadratic function y=ax^2+bx+c+4 passes through the origin, and the vertex coordinates are (1,−4). Which of the following statements is incorrect? ( ) | D | ['c = -4', 'b^2 - 4a(c + 4) > 0', 'The minimum value of the function is -4', 'When \\(0 < x_1 < 1 < x_2\\), \\(y_1 < y_2\\)'] | multi_choice |
func1162 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1162.png | As shown in the figure, the straight line AB intersects the x-axis at point Q and intersects the graph of the inverse proportional function y = n - 1/x (n > 1) at points A and B. A perpendicular BP is drawn from point B to the y-axis, with the foot of the perpendicular at point P. If S_ABPQ = 6, then the value of n is ( ). | D | ['10', '11', '12', '13'] | multi_choice |
func1163 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1163.png | 10. As shown in the figure, point A is on the graph of the inverse proportion function y = −k/x (k > 0). Through point B, draw AB // y-axis, and point C is on the positive x-axis. If the area of △ABC is 5/2, then the value of k is ( ). | A. -5/2 | ['-5/2', '-5/2', '-5', '5'] | multi_choice |
func1164 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1164.png | As shown in the figure, an elastic ball starts from point P₀(0,1) and moves in the indicated direction. Each time the ball hits a side of the square OABC, it rebounds, with the angle of reflection equal to the angle of incidence (i.e., ∠P₀N₁P₁ = ∠P₁N₁P₂ = ... = ∠PₙNₙPₙ₊₁). The first point where the ball hits a side of the square is P₁(2,0), the second point is P₂, ..., and the n-th point of contact is Pₙ. What are the coordinates of point P₂₀₂₄? | A. (4,1) | ['(4, 1)', '(4, 3)', '(2, 4)', '(2, 0)'] | multi_choice |
func1165 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1165.png | The partial graph of the parabola y = ax^2 + bx + c (a ≠ 0) is shown, with one of its x-axis intersection points at (4,0), and the axis of symmetry being the line x = 1. The following conclusions are given: ① abc < 0; ② 2a + b = 0; ③ The equation ax^2 + bx + c = 2 has two distinct real roots; ④ If the points (-3, m) and (5, n) lie on the parabola, then m = n. How many of these statements are correct? ( ) | D | ['1', '2', '3', '4'] | multi_choice |
func1166 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1166.png | As shown in the figure, given the coordinates of points A, C, and D in parallelogram ABCD, what are the coordinates of point B? | D | ['(-3, -2)', '(-2, -2)', '(-3, -1)', '(-2, -1)'] | multi_choice |
func1167 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1167.png | As shown in the diagram, y₁ = k₁x - 2k and y₂ = k₂x + a are linear functions. Which of the following statements is correct? ( ) | D. The solution to the equation k₁x - 2k = x + a is x = 3. | ['a < 0', 'a > 0', 'When x = 2h, the values of the linear functions y1 = kx - 2k and y2 = -x + a are both integers', 'The solution to the equation kx - 2k = -x + a is x = 3'] | multi_choice |
func1168 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1168.png | As shown in the figure, the function y1 = kx (k ≠ 0) intersects with y2 = 2x + b at point 4. Which of the following statements is correct? ( ) | D | ['k < 0', 'k > b', 'When \\(x > 0\\), \\(y_1 > y_2\\)', 'When \\(x < -\\frac{3}{2}\\), \\(y_1 > y_2\\)'] | multi_choice |
func1169 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1169.png | As shown in the figure, given the vertices of the parallelogram ABCD as A(0, 3), B(-2, 0), and C(3, 0), if parallelogram ABCD is translated along the x-axis to the right such that the midpoint E of side AB falls exactly on the y-axis, what are the coordinates of point D?
A. (6, 3)
B. (6, 3/2)
C. (4, 3)
D. (4, 3/2) | A | ['(6, 3)', '(6, 3/2)', '(4, 3)', '(4, 3/2)'] | multi_choice |
func117 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/117.png | As shown in the figure, the line OA: y = kx intersects the graph of the inverse proportional function y = 12/x at points A(3, m) and B. What are the coordinates of point B? | (-3, -4) | NULL | free_form |
func1170 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1170.png | The partial graph of the parabola y = ax² + bx + c (a ≠ 0) is shown in the figure. One intersection point with the x-axis is (-3, 0), and the axis of symmetry is the line x = -1. The parabola is translated 2 units along the positive direction of the x-axis to obtain a new parabola y₁. Then, the range of x where y₁ ≥ 0 is ( ). | C. 1 < x < 3 | ['-3 < x < -1', '-1 < x < 1', '-1 < x < 3', '1 < x < 3'] | multi_choice |
func1171 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1171.png | As shown in the figure, if the coordinates of point A are (1, 3) and the coordinates of point C are (-2, -1), then the coordinates of point B are ( ). | B. (-1, 2) | ['(1, 2)', '(-1, 2)', '(-1, -2)', '(1, -2)'] | multi_choice |
func1173 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1173.png | As shown in the figure, A and B are arbitrary points on the inverse proportion function y = (k/x) (k < 0). Vertical lines are drawn from points A and B to the y-axis, with their feet being C and D respectively. Connect OA and OB. Let the areas of △AOC and △BOD be S1 and S2 respectively. Then ( ) | B | ['S1 > S2', 'S1 = S2', 'S1 < S2', 'Cannot be determined'] | multi_choice |
func1174 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1174.png | Photosynthesis usually refers to the process where green plants (including algae) absorb light energy to synthesize organic compounds from carbon dioxide and water, while releasing oxygen. The entire process is influenced by various factors such as light intensity, carbon dioxide concentration, and temperature. Xiao Ming studied the relationship between the rate of oxygen release (mg/hour) of a green plant during photosynthesis and light intensity L (kilolux) (unit of light intensity). He designed an experimental setup as shown in Figure ① and plotted the relationship between oxygen release rate W (mg/hour) and light intensity L (kilolux) at 15°C and 25°C, as shown in Figure ②. Which of the following statements is correct? ( )
A. When L = 7, the oxygen release rate of the green plant at 25°C is higher than that at 15°C.
B. When L = 8, after 3 hours of photosynthesis at 25°C, the green plant releases 30 mg more oxygen.
C. When L = 10, the light intensity required for photosynthesis of the green plant at 15°C is 10 kilolux.
D. The higher the light intensity, the faster the oxygen release rate of the green plant. | A | ['At 7 hours, the oxygen release rate of green plants at 25°C is higher than that at 15°C.', 'At 8 hours, the oxygen release rate of green plants at 25°C is 30 mg/hour higher than that at 15°C.', 'At 10 hours, the light intensity required for green plants at 15°C is 1 thousand lux higher than that at 25°C.', 'As light intensity increases, the oxygen release rate of green plants decreases.'] | multi_choice |
func1175 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1175.png | Car A and Car B depart from City A and travel to City B. Car A departs earlier than Car B. Throughout the journey, the distance y (in km) both cars travel away from City A is a function of the time t (in hours) Car A has been traveling, as shown in the figure. What is the time Car B has been traveling when the two cars meet? | A. 2.5h | ['2.5h', '2.75h', '3h', '3.25h'] | multi_choice |
func1177 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1177.png | As shown in the diagram, a point moves in the first and fourth quadrants. In the first instance, it moves from (0, -2) to (1, 1) in 1 second, and then moves in a zigzag pattern to the right, i.e., (0, -2) → (1, 1) → (2, -1) → (3, 2) → ..., taking 1 second for each movement. What are the coordinates of the point at the 2024th second? | D. (2024, -2) | ['(2023, 1)', '(2023, -1)', '(2024, 2)', '(2024, -2)'] | multi_choice |
func1179 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1179.png | As shown in Figure ①, in the rectangle MNPQ, point R starts from point N and moves along the path N→P→Q→M to the endpoint M. Let the distance traveled by point R be x, and the area of △MNR be y. If the graph of y as a function of x is as shown in Figure ②, which of the following statements is incorrect? ( ) | B | ['When y = 6, x = 10', 'When y = 5, x = 2', 'The maximum value of y is 10', 'The perimeter of rectangle MNPO is 18'] | multi_choice |
func118 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/118.png | If the coordinates of a point are (-1, 3), then the position of this point in the Cartesian coordinate system shown in the figure is point ______. | N | NULL | free_form |
func1180 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1180.png | As shown in the figure, in the Cartesian coordinate plane, the line y = 2x + 1 intersects the line y = -3x + 6 at point A. Then the solution to the system of linear equations { 3x + y - 6 = 0, 2x - y + b = 0 } is ( ). | B | ['x = 2, y = 0', 'x = 1, y = 3', 'x = -1, y = 9', 'x = 3, y = 1'] | multi_choice |
func1181 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1181.png | As shown in the figure, the hyperbola function y2=k/x (k is a constant, and k≠0) intersects with the straight proportional function y1=mx (m≠0) at points A and B. The x-coordinate of point A is -1. If y2<y1<0, what is the range of x ( )? | C | ['-1 < x < 0', 'x < -1', 'x > 1', '-1 < x < 0 or x > 1'] | multi_choice |
func1182 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1182.png | 8. As shown in the figure, for the quadratic function y = ax² + bx + c (a≠0), there are four statements: ① If (-3, y₁) and (2, y₂) are two points on the parabola, then y₂ > y₁; ② abc > 0; ③ a - b ≥ 2c; ④ 3a + b ≥ 2c. The number of correct statements is ( ). | D | ['1', '2', '3', '4'] | multi_choice |
func1183 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1183.png | As shown in the figure, in a Cartesian coordinate system, a point starts at P0(1,0) and moves upwards by 1 unit to P1(1,1), then moves 2 units to the left to P2, then 3 units downwards to P3, 4 units to the right to P4, 5 units upwards to P5, and so on, continuing this pattern of movement. What are the coordinates of P2024? | B | ['(-1011, -1012)', '(1013, -1012)', '(-1011, 1012)', '(1013, 1012)'] | multi_choice |
func1184 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1184.png | It is known that the current I through the resistor R and the voltage U across the resistor satisfy the relationship I = U / R. As shown in the figure, the four points respectively describe the conditions of resistors A, B, C, and D in different circuits, indicating the relationship between the current I through the resistor and the resistor value R. Among these, the points describing the conditions of resistors A and C happen to lie on the same inverse proportional function graph. Which resistor has the maximum voltage across it? | D | ['A. 甲', 'B. 乙', 'C. 丙', 'D. 丁'] | multi_choice |
func1185 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1185.png | As shown in the figure, place the "smiley face" emoji from WeChat on the Cartesian coordinate system. It is known that the left eye A is located at coordinates (-2, 3), and the right eye B is located at coordinates (0, 3). If the "smiley face" is shifted 3 units to the right, what will the coordinates of the mouth C be? | D | ['(1, 3)', '(-1, 1)', '(1, 2)', '(2, 1)'] | multi_choice |
func1186 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1186.png | As shown in the figure, the vertices O, A, and C of the rectangle OABC have coordinates (0,0), (5,0), and (3,8), respectively. What are the coordinates of point B? | D. (8,8) | ['(5,8)', '(6,6)', '(5,6)', '(8,8)'] | multi_choice |
func1187 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1187.png | As shown in the diagram, the rectangle OABC represents the pool table surface. The ball starts at position (3,0) and moves in the direction indicated. The trajectory of the ball is shown in the diagram. When the ball hits the edge of the table for the 2024th time, the position of the ball is ( ). | B. (1,4) | ['(0,3)', '(1,4)', '(5,0)', '(8,3)'] | multi_choice |
func1189 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1189.png | Go, originating in China and historically called 'Yi' in ancient times, is the ancestor of board games and has a history of more than 4000 years. As shown in the figure, it is a portion of a Go board. If the board is composed of small squares with a side length of 1, and the coordinates of the two stones on the board are A(-2, 4) and B(1, 2), what are the coordinates of stone D? | C | ['(2, 2)', '(−1, −2)', '(−2, −1)', '(2, 1)'] | multi_choice |
func119 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/119.png | As shown in the figure, all the centers of the squares are located at the origin of the coordinate system, and their sides are parallel to the x-axis or y-axis. From the inside out, the side lengths of the squares are 2, 4, 6, 8, ..., and the vertices are labeled A₁, A₂, A₃, A₄, ..., respectively. Then, the coordinates of vertex A₄₆ are ________. | (-17, -17) | NULL | free_form |
func1190 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1190.png | A certain elastic ball falls from a high place and bounces back up. It can be clearly observed that the higher the falling height of the ball, the higher its rebound height. A math interest group conducted several experiments using this ball on the same flat ground, and the experimental data is shown in the diagram. Based on the diagram, estimate the approximate falling height x of the ball when the rebound height is 100 cm ( ). | D. 200 cm | ['50 cm', '100 cm', '180 cm', '200 cm'] | multi_choice |
func1191 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1191.png | The following three problems all involve two variables: ① A water tank contains l m³ of water. When a water inlet is opened, water flows in at a speed of m³/h. After x hours, the water tank contains v m³ of water. ② A telecom company's monthly phone charges are as follows: a base rental fee of 12 yuan per phone per month, plus a call charge of 0.2 yuan/min. If the call time for a month is x minutes, the total cost is y yuan. ③ A piece of wire with a length of 1 is used to form a rectangle, where the area of the rectangle is y, and one side length is x. Among these, the functional relationship between the variables x and y can be represented by the graph shown in the figure ( ). | A | ['① ②', '② ③', '① ③', '① ② ③'] | multi_choice |
func1192 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1192.png | As shown in Figure 1, in △ABC, a moving point P starts at point A and moves along the path AB → BC → CA uniformly until it returns to point A and stops. Let the length of segment P be h, and the height of △ABC, CG = 7√3/2. Figure 2 roughly shows the relationship between h and time, where point F is the lowest point on curve DE. The coordinates of point F are ( ). | D. (12, 4√3) | ['(12, 4\\(\\sqrt{3}\\))', '(4, 4\\(\\sqrt{3}\\))', '(13, 2\\(\\sqrt{3}\\))', '(12, 4\\(\\sqrt{3}\\))'] | multi_choice |
func1193 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1193.png | As shown in the figure, in the Cartesian coordinate plane, O is the origin, and point A lies on the graph of the inverse proportion function y = -k/x (k > 0). Draw AM perpendicular to the x-axis at point M and AN perpendicular to the y-axis at point N. If the area of rectangle AMON is 3, then the value of k is ( ). | A | ['3', '-3', '6', '-6'] | multi_choice |
func1194 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1194.png | As shown in the figure, △OAB has vertex O(0,0), vertices A and B are in the second and third quadrants respectively, with AB=8 and OA=OB=5. What are the coordinates of point A? | D | ['(-5, 4)', '(3, 4)', '(5, -4)', '(-3, 4)'] | multi_choice |
func1196 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1196.png | As shown in Figure 1, point P starts from vertex B of point A and moves along B→C→A to point A. Figure 2 shows the relationship between the length of line segment BP (y) and time (x) as point P moves. If M is the lowest point of the curve, what is the length of AC? ( ) | D.8 | ['4', '5', '6', '8'] | multi_choice |
func1198 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1198.png | As shown in the figure, the quadratic function y = ax² + bx + c (where a, b, and c are constants, and a ≠ 0) has its graph intersecting the x-axis at points A(-3, 0) and B(1, 0). The following conclusions are provided:
① a < b < 0;
② If the points (-2, y₁) and (0.5, y₂) both lie on the parabola, then y₁ > y₂;
③ 9a - 3b + c = 0;
④ 4a + 2b + c > 0.
How many of the above are correct?
A. 1
B. 2
C. 3
D. 4 | C | ['1', '2', '3', '4'] | multi_choice |
func1199 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1199.png | As shown in the figure, two wooden strips are fixed together at one end with a bolt, allowing them to rotate freely. During the movement, the quantity that remains constant is ( )
A. The measure of ∠BAC
B. The length of AB
C. The length of BC
D. The area of △ABC | B | ['The measure of ∠BAC', 'The length of AB', 'The length of BC', 'The area of △ABC'] | multi_choice |
func12 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/12.png | As shown in the figure, given that the angle between segment OA and the due east direction is 30°, and OA = 10cm, the position of point A relative to point O can be described as ____________________. | 60° north of east and 10cm away from point O | NULL | free_form |
func120 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/120.png | As shown in the figure, the graphs of the functions y = ax + b and y = kx intersect at point P. Based on the graph, the solution to the system of linear equations y = ax + b and y = kx in terms of x and y is ________. | x = -4, y = -2 | NULL | free_form |
func1200 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1200.png | 8. As shown in Figure 1, in △ABC, AB = AC, AD ⊥ BC at point D (BD > AD). A moving point P starts from point B and moves along the broken line BA → AC until stopping at point C. Let the travel distance of point P be x, and the area of △BPD be y. The graph of the function y with respect to x is shown in Figure 2. What is the length of BC? ( ) | A. 6 | ['6', '8', '9', '10'] | multi_choice |
func1201 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1201.png | As shown in the figure, given A1(2, 4), A2(4, 4), A3(6, 0), A4(8, −4), A5(10, −4), A6(12, 0), ..., following this pattern, the coordinates of point A2023 are ( ). | A | ['(4046, 4)', '(4046, 0)', '(4046, -4)', '(4048, 0)'] | multi_choice |
func1203 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1203.png | Teacher Liu went to a gas station to refuel. As shown in the picture, this is the display screen of the fuel pump he used at a certain moment. Which one of the following is the constant ( )? | B. Unit price | ['Amount', 'Unit Price', 'Quantity', 'Amount and Quantity'] | multi_choice |
func1204 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1204.png | Henan is China's granary, and the moisture content of grain is an important indicator for evaluating grain quality. Grain moisture detection plays a very important role in the purchase, transportation, and storage of grain. The internal circuit of the resistance-based grain moisture meter is shown in Figure A. When grain is placed on the moisture-sensitive resistor R1, the resistance value of R1 changes, and its resistance varies with the grain moisture content as shown in Figure B. Based on the figures, which of the following statements is incorrect?
A. When the moisture content is 0, the resistance value of R1 is 40Ω.
B. The resistance value of R1 decreases as the grain moisture content increases.
C. The maximum grain moisture content that this device can detect is 12.5%.
D. The relationship between the moisture-sensitive resistor R1 and the grain moisture content is an inverse proportional relationship. | D | ['When the moisture content is 0, the resistance of R1 is 40Ω.', 'The resistance of R1 decreases with the increase of the moisture content of the grain.', 'The maximum moisture content of the grain measured by this device is 12.5%.', 'The moisture-sensitive resistor R1 is inversely proportional to the moisture content of the grain.'] | multi_choice |
func1205 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1205.png | As shown in the figure, in a plane rectangular coordinate system, rectangle ABCO has two sides aligned with the coordinate axes, OA = 2, and OC = 1. If rectangle ABCO is rotated counterclockwise around point O, rotating 90° each time, what are the coordinates of point B after the 2024th rotation? | C. (2, 1) | ['(-2, -1)', '(-1, 2)', '(2, 1)', '(1, -2)'] | multi_choice |
Subsets and Splits