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func1 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1.png | As shown, A is a point on the hyperbolic function y = k/x. If the area of △ABO is 2, then the value of k is ______. | 4 | NULL | free_form |
func10 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/10.png | The partial graph of the parabola y = ax² + bx + c is shown in the figure. What is the range of x when y > 0? ______________________ | -3 < x < 1 | NULL | free_form |
func1000 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1000.png | According to research, an increase in blood lactate concentration in the human body is an important reason for feeling fatigued after exercise. When the blood lactate concentration drops below 50mg/L, the athlete has essentially recovered from fatigue. Sports scientists have drawn a graph based on experimental data, which reflects the change in blood lactate concentration in athletes over time for different recovery methods. Which of the following statements is incorrect? | C | ['The lactic acid concentration first rises and then falls after exercise.', 'At t = 20 min, the average lactic acid concentration under both methods is about 150mg/L.', 'Using a static method to relax, the athlete can eliminate fatigue in about 30 minutes.', 'To quickly achieve the effect of eliminating fatigue, the athlete should relax using a slow exercise method.'] | multi_choice |
func1001 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1001.png | As shown in the figure, in the rectangular coordinate plane, the graph of a linear function y = kx + b intersects the x-axis at point A(-3, 0), intersects the y-axis at point B, and intersects the graph of the proportional function y = 4/3x at point C(m, 4). Observing the function graphs, the solution set for the inequality 4/3x < kx + b with respect to x is ( ). | C | ['x < 4', 'x > 4', 'x < 3', 'x > 3'] | multi_choice |
func1002 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1002.png | As shown in the figure, the line l1: y = x + 4 intersects with the line l2: y = mx + n at point A(-1, b). Then the solution to the system of equations { y - x = 4, y - mx = n } with respect to x and y is ( ). | C | ['\\( \\begin{cases} x = 3 \\\\ y = 1 \\end{cases} \\)', '\\( \\begin{cases} x = -1 \\\\ y = -3 \\end{cases} \\)', '\\( \\begin{cases} x = -1 \\\\ y = 3 \\end{cases} \\)', '\\( \\begin{cases} x = 3 \\\\ y = -1 \\end{cases} \\)'] | multi_choice |
func1003 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1003.png | Xiao Ming drives from location A to location B on a highway. The relationship between the distance traveled y (kilometers) and time x (hours) over the entire trip is shown in the given graph. Among the following statements, which one is incorrect? ( ) A. Xiao Ming traveled 21 kilometers in the first hour. B. During the first 0.4 hours of the trip, Xiao Ming's average speed was 42 kilometers/hour. C. During 0.4 to 1 hours, Xiao Ming's speed was slower compared to the first 0.4 hours. D. The distance from location A to location B is 40 kilometers. | B | ['Xiaoming drove 21 thousand meters in the first hour.', "Before driving for 0.4 hours, Xiaoming's average speed was 42 thousand meters per hour.", "From 0.4 to 1 hour, Xiaoming's speed was slower than before 0.4 hours.", 'The distance from point A to point B is 40 thousand meters.'] | multi_choice |
func1005 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1005.png | On a grid with unit length 1, there is a sequence of points A₁, A₂, A₃, A₄, ... (where n is a positive integer) that are all grid points. These points are arranged according to a specific pattern as shown in the figure. The coordinates of the points are A₁(2,0), A₂(1,-1), A₃(0,0), A₄(2,2), .... What are the coordinates of A₂₀₂₅? | B | ['(1012, 0)', '(1014, 0)', '(-1010, 0)', '(-1012, 0)'] | multi_choice |
func1006 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1006.png | As shown in the figure, the linear function y₁ = x + b and the linear function y₂ = kx + 4 intersect at point P(2, 3). What is the solution set for the inequality x + b > kx + 4 with respect to x? | C. x > 2 | ['x > -2', 'x > 0', 'x > 2', 'x > 3'] | multi_choice |
func1007 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1007.png | As shown in the figure, point A is an arbitrary point on the graph of the inverse proportion function y=6/x (x>0). AB is perpendicular to the x-axis at B, and point C is a moving point on the x-axis. The area of △ABC is ( ). | A | ['3', '6', '8', 'Cannot be determined'] | multi_choice |
func1008 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1008.png | As shown in Figure ①, in rectangle ABCD, point P starts from point B and moves uniformly to point D → A along the direction. The motion of P stops at point A. It is known that point P's speed is 2 cm/s, and let the motion time of point P be t (s). The area of △PAB is represented by y as a function of t (cm²). If the graph of the function is shown in Figure ②, then the area of rectangle ABCD is ( ). | D. 48 cm² | ['12 cm²', '24 cm²', '36 cm²', '48 cm²'] | multi_choice |
func1009 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1009.png | As shown in the figure, the coordinates of vertices A, B, and C of quadrilateral ABCD are (0, 2), (-4, -4), and (-4, -4) respectively. What are the coordinates of vertex D? | A. (8, 2) | ['(8, 2)', '(4, 1)', '(-8, 2)', '(4, -1)'] | multi_choice |
func101 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/101.png | As shown in the figure, the ordered pair corresponding to O is (1,3). There is an English word whose letters correspond to the ordered pairs (1,2), (1,3), (2,3), and (5,1) in sequence. What is this English word? | HOPE | NULL | free_form |
func1010 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1010.png | As shown in the figure, the moving point P moves in the direction indicated by the arrows in the plane rectangular coordinate system. In the 1st move, it moves from the origin to the point (1,1), in the 2nd move, it continues to the point (2,0), in the 3rd move, it continues to the point (3,2), and so on. Following this pattern of movement, what will the coordinates of the moving point P be after the 2024th move? | A | ['(2024, 0)', '(2024, 2)', '(2023, 2)', '(2023, 0)'] | multi_choice |
func1011 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1011.png | As shown in the figure, the linear function y = x + a and the quadratic function y = x² + bx intersect at point A(-3, 0) and point B. Then the solution set of x + a > x² + bx is ( ). | D | ['x > 1', 'x > 1 or x < -3', '-3 < x < \\(\\frac{1}{2}\\)', '-3 < x < 1'] | multi_choice |
func1012 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1012.png | As shown in Figure 1, point P starts from vertex A of a square, moves along a straight line to a point inside the square, and then moves from this point along another straight line to vertex D. Let the distance traveled by point P be x. Figure 2 shows the relationship graph between y and x as point P moves. What is the side length of the square? ( ) | C. 2 | ['4', '2√2', '2', '1'] | multi_choice |
func1013 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1013.png | As shown in the figure, the graph of the linear function y = x + 2 intersects with the graph of the linear function y = kx + b (where k and b are constants, and k ≠ 0) at the point P(m, 4). Then the solution to the system of equations {y = x + 2, y = kx + b} with respect to x and y is ( ). | C | ['{ x = 2, y = 0 }', '{ x = 0, y = 4 }', '{ x = 2, y = 4 }', '{ x = 4, y = 2 }'] | multi_choice |
func1014 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1014.png | When using the graphical method to solve a system of two linear equations with two variables, the graphs of the corresponding two linear functions are drawn in the same Cartesian coordinate system as shown in the figure. Which system of equations does this correspond to? | A | ['\\(\\begin{cases} x + y - 2 = 0 \\\\ 2x - y - 1 = 0 \\end{cases}\\)', '\\(\\begin{cases} 2x - y - 1 = 0 \\\\ 3x - 2y - 1 = 0 \\end{cases}\\)', '\\(\\begin{cases} 2x - y - 1 = 0 \\\\ 3x + 2y - 5 = 0 \\end{cases}\\)', '\\(\\begin{cases} x - y - 2 = 0 \\\\ 3x - 2y - 1 = 0 \\end{cases}\\)'] | multi_choice |
func1015 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1015.png | As shown in the diagram, in the rectangular coordinate system, the coordinates of the vertices O, B, and C of △OBC are O(0, 0), B(-6, 0), and C(0, 6) respectively, and ∠OCB=90° and OC=BC. Now, stretch △OBC horizontally and vertically to twice its original length to the left side. What are the coordinates of the corresponding point of C? | D | ['(-3, 3)', '(-3, -6)', '(-6, 3)', '(-6, 6)'] | multi_choice |
func1016 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1016.png | 7. The relationship between the remaining oil volume y(L) in a car's fuel tank and the driving distance x(km) is shown in the graph. If the car consumes the same amount of oil per kilometer, then when the remaining oil volume in the tank is 28L, the driving distance of the car is ( ). | B. 220km | ['180km', '220km', '260km', '280km'] | multi_choice |
func1017 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1017.png | As shown in the figure, the straight line l1: y = x + 1 intersects the straight line l2: y = mx + n at the point P(1, b). What is the solution to the system of equations {x - y = -1, mx - y = -n}? | C | ['\\( \\begin{cases} x = 1 \\\\ y = 1 \\end{cases} \\)', '\\( \\begin{cases} x = 1 \\\\ y = 3 \\end{cases} \\)', '\\( \\begin{cases} x = 1 \\\\ y = 2 \\end{cases} \\)', '\\( \\begin{cases} x = 1 \\\\ y = 1 \\end{cases} \\)'] | multi_choice |
func1019 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1019.png | As shown in the figure, in the plane Cartesian coordinate system, the coordinates of point A are (9,0), and the coordinates of point C are (0,3). A rectangle OABC is formed with OA and OC as sides. Moving points E and F start from O and B respectively, each moving towards their endpoints A and C at a constant speed of 1 unit per second along OA and BC. When the movement time is 10 seconds, the value of AC·EF is ( ). | D | ['10√10', '15√10', '15', '30'] | multi_choice |
func102 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/102.png | As shown in the figure, in the regular hexagon OABCDE, a Cartesian coordinate system is established with point O as the origin, and edge OA lies on the x-axis. If the coordinates of point A are (6, 0), then the coordinates of point B are __________. | (9, 3√3) | NULL | free_form |
func1021 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1021.png | As shown in the figure, given the parabola y = ax^2 + bx + c (a ≠ 0) with its vertex at (1, m), and two x-axis intersections A and B, where point B is at (-1, 0), which of the following conclusions is correct ( )? | D. c = -a·m | ['The coordinates of point \\(A\\) are \\((2, 0)\\)', '\\(b^2 - 4ac \\geq 0\\)', '\\(c = am\\)', '\\(c - a = m\\)'] | multi_choice |
func1022 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1022.png | As shown in the figure, the graphs of the functions y = 2x and y = ax + 6 intersect at point P(m, 4). Then the solution set of the inequality 2x ≥ ax + 6 in terms of x is ( ). | A. x ≥ 2 | ['\\(x \\geq 2\\)', '\\(x \\leq 2\\)', '\\(x \\geq 4\\)', '\\(x \\leq 3\\)'] | multi_choice |
func1023 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1023.png | As shown in Figure ①, in rectangle ABCD, point P starts from point B and moves uniformly along the path B-C-D-A, stopping at point A. The speed of point P is 2 cm/s. Let the movement time of point P be x (s), and the area of △PAB be y (cm²). If the function graph regarding x is shown in Figure ②, what is the area of rectangle ABCD? | A. 48 cm² | ['48 cm²', '32 cm²', '84 cm²', '36 cm²'] | multi_choice |
func1024 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1024.png | As shown in the figure, in the rectangular coordinate system, the coordinates of the right-angle vertex C of Rt△ABC are (2, 0). Point A is on the positive x-axis, and AC = 4. If △ABC is rotated 90° counterclockwise around point C, what are the coordinates of the point corresponding to A after rotation? | A | ['(2, 4)', '(2, -4)', '(2, 2)', '(4, 2)'] | multi_choice |
func1025 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1025.png | As shown in the figure, the graph of the linear function y = kx + b passes through points A and B. What is the solution set of kx + b > 2? ( ). | B | ['-3 < x < 0', 'x > 0', 'x > 2', 'x > -3'] | multi_choice |
func1026 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1026.png | As shown in the figure, P is a point in the rectangular coordinate system. A perpendicular is drawn from point P to the x-axis and y-axis, with the foot M on the x-axis having a coordinate of 3 and the foot N on the y-axis having a coordinate of 4. What are the coordinates of point P? ( ) | D | ['(0, 3)', '(0, 4)', '(4, 3)', '(3, 4)'] | multi_choice |
func1027 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1027.png | As shown in the figure, point P is a point in the plane coordinate system. Then the distance from point P to the origin is ( ). | B | ['4', '3', '9', '5'] | multi_choice |
func1028 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1028.png | Solid sucrose cannot dissolve in water to obtain sugar water. There are four bottles of sugar water labeled A, B, C, and D, as shown in the figure: the x-axis represents the mass of sugar water, and the y-axis represents the sugar concentration (sugar concentration is the ratio of the mass of sugar solid to the mass of sugar water). Among them, the points describing A and D happen to lie on the same inverse proportional function graph. Then, the bottle of sugar water with the highest mass of sugar solid is ( ). | B. B | ['A', 'B', 'C', 'D'] | multi_choice |
func1029 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1029.png | As shown in the figure, M is the center of the regular hexagon EFGHPQ. In the rectangular coordinate system, if the coordinates of point M are (0, 0) and the coordinates of point E are (-1, 0), then the coordinates of point H are ( ). | C. (1, 0) | ['(-2, 0)', '(1, 1)', '(1, 0)', '(2, 0)'] | multi_choice |
func103 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/103.png | As shown in the figure, the straight line y = 1/3x (x > 0) intersects with the inverse proportional function y = k/x (x > 0) at point A(3,1). (1) k = _______; (2) From point A, draw AB ⊥ y-axis at point B. Using AB as a side, draw a square ABCD downward such that BC coincides with the x-axis. Then OA² - OC² = _______. | 5 10 | NULL | free_form |
func1030 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1030.png | Spring chill, on March 23, 2024, it rained in Qixian, and soon turned into sleet. Figure 1 shows the variation of temperature over time. What is the day's temperature difference (the difference between the highest and lowest temperatures)? | B. 12°C | ['16°C', '12°C', '8°C', '4°C'] | multi_choice |
func1031 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1031.png | As shown in the figure, the graph of the linear function y = kx + b intersects the x-axis at the point (3, 0). What is the solution set of the inequality kx + b ≥ 0? | D | ['x < 3', 'x ≤ 3', 'x > 3', 'x ≥ 3'] | multi_choice |
func1032 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1032.png | As shown in the figure, in a plane rectangular coordinate system, two insects, A and B, start simultaneously from point O at the same speed and crawl at a uniform speed along paths L1 and L2 (indicated by bold lines) respectively, completing one round and returning to the origin. The time taken is t1 and t2 respectively. If point A(-4, 4) and point B(4, 4), what is the relationship between t1 and t2? ( ) | B | ['t1 < t2', 't1 = t2', 't1 > t2', 'Cannot be determined'] | multi_choice |
func1033 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1033.png | It is known, as shown in the figure, that the graphs of the linear functions y1 = mx + n and y2 = -x + a intersect at point A(3, 2). Then the solution set for mx + n ≤ -x + a is ( ). | D | ['2 < x ≤ 3', '0 < x ≤ 2', 'x ≥ 2', 'x ≤ 3'] | multi_choice |
func1035 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1035.png | As shown in the figure, in the same Cartesian coordinate system, the graphs of the functions y₁ = 2x + a and y₂ = -x + 2 intersect at point A(m, 3). Then the solution set of the inequality y₁ < y₂ is ( ). | C | ['x > -1', 'x > -1', 'x < -1', 'x ≤ -1'] | multi_choice |
func1036 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1036.png | As shown in the figure, the linear function y₁ = kx + 4 and y₂ = x + b intersect at point P(1, 3). Observing this, the solution set of the inequality x + b ≥ kx + 4 with respect to x is ( ). | D. x ≥ 1 | ['x < 1', 'x < 1', 'x \\geq 3', 'x \\geq 1'] | multi_choice |
func1037 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1037.png | China's first Mars rover has been officially named 'Zhurong.' To cope with extreme temperature environments, the Mars rover uses a new type of thermal insulation material—nanogel. The thermal conductivity κ (W/m·K) of this material varies with temperature T (°C) as shown in the table. Which of the following statements is incorrect? Temperature T (°C): 100, 150, 200, 250. Thermal conductivity κ (W/m·K): 0.15, 0.25, 0.30, 0.35. A. In this variation process, the independent variable is temperature, and the dependent variable is thermal conductivity. B. Within a certain temperature range, as the temperature increases, the thermal conductivity of the material increases. C. When the temperature is 350°C, the thermal conductivity of the material is 0.35 W/m·K. D. For every 10°C increase in temperature, the thermal conductivity of the material increases by 0.01 W/m·K. | D | ['In this process, the independent variable is temperature, and the dependent variable is thermal conductivity.', 'Within a certain temperature range, as the temperature increases, the thermal conductivity of the material should also increase.', 'When the temperature is 350°C, the thermal conductivity of the material is 0.35 W/(m·K).', 'For every 10°C increase in temperature, the thermal conductivity of the material increases by 0.01 W/(m·K).'] | multi_choice |
func1039 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1039.png | As shown in the figure, the parabola y = ax^2 + bx + c intersects the x-axis at points A(-2, 0) and B(6, 0), and intersects the y-axis at point C. Four students, Jia, Yi, Bing, and Ding, are exploring the graph and properties of this function together. Below are the conclusions they have reached: ① The axis of symmetry is the line x = 2; ② When y > 0, x ∈ (-2, 6); ③ 4a - b = 0; ④ 5a + c < 0; ⑤ b^2 - 4ac > 0. How many of these statements are correct? ( ). | C | ['1', '2', '3', '4'] | multi_choice |
func104 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/104.png | As shown in the figure, point P(6, a) lies on the graph of the inverse proportional function y = 48/x. PH ⊥ x-axis at point H, and OP is connected. Then, the value of sin∠OPH is ________. | 3/5 | NULL | free_form |
func1040 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1040.png | Given the quadratic function y = ax^2 + bx + c (where a, b, and c are constants and a ≠ 0), its graph is as shown in the figure. The axis of symmetry is the line x = -1, and it passes through the point (0, 1). The following conclusions are provided: ① abc < 0; ② b = 2a; ③ 4a − 2b + c > 0; ④ a − b > m(a + b) (where m is any real number). The number of correct statements is ( ). | B | ['1', '2', '3', '4'] | multi_choice |
func1041 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1041.png | As shown in the figure, points A and B are on the hyperbolic function y = k/x, and on the graph, perpendicular lines are drawn from points A and B to the x-axis and y-axis, forming a shaded area of 7. What is the value of k? | C. 5 | ['6', '7', '5', '8'] | multi_choice |
func1042 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1042.png | As shown in Figure 1, in the quadrilateral ABCD, AB < BC, point E is a moving point on diagonal AC. Connect BE and DE. Draw EF perpendicular to BC at point F through point E. Let AE be x, and the length of a certain line segment in Figure 1 be y. If the graph representing the functional relationship between y and x is roughly as shown in Figure 2, then this line segment could be ( )
A. Segment BE B. Segment EF C. Segment CE D. Segment DE | D | ['Line segment BE', 'Line segment EF', 'Line segment CE', 'Line segment DE'] | multi_choice |
func1043 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1043.png | In the rectangular coordinate system, a smart robot follows a defined instruction starting from the origin O. The robot moves continuously in the sequence 'up → right → down → left', with each move being 1 unit in length. Its movement path is shown in the diagram. It first reaches point A₁, then point A₄. What are the coordinates of point A₂₀₂₄? ( ) | C. (1012, 0) | ['(1011, 0)', '(1011, 1)', '(1012, 0)', '(1012, 1)'] | multi_choice |
func1044 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1044.png | Master Wang went to the gas station to refuel. The figure shows the display screen of the fuel dispenser he used. Which of the following is the constant? | C. Unit price | ['Amount', 'Quantity', 'Unit Price', 'Amount and Quantity'] | multi_choice |
func1045 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1045.png | PTC is a new type of semiconductor ceramic material with a temperature set as needed, called the 'Curie point temperature.' Below this temperature, its resistance decreases as the temperature increases, and above this temperature, its resistance increases as the temperature increases. PTC materials are widely used in heating components that possess dual functionalities of heating and temperature control. Figure 1 shows a household electric mosquito repellent device, whose heating section uses PTC heating materials. The relationship between resistance (R/kΩ) and temperature (T/°C) for this material is shown in Figure 2. Which of the following statements is NOT correct? ( ) | D | ['According to Figure 2, the Curie point temperature of the PTC material is 30°C.', 'When T = 80°C, the resistance value of the PTC heating element is 14kΩ.', 'When R = 10kΩ, T = 60°C.', 'The resistance value of the heating part increases with the increase in temperature.'] | multi_choice |
func1046 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1046.png | Given the quadratic function y = ax² + bx + c (where a, b, c are constants, and a ≠ 0), its graph is shown in the figure. Its axis of symmetry is the line x = -1, and it passes through the point (0, 1). The following conclusions are given: ① a < 0; ② b = 2a; ③ 4a - 2b + c > 0; ④ b² - 4ac > 0. Which one is correct ( )? | D | ['① ②', '① ② ④', '① ② ③', '① ② ③ ④'] | multi_choice |
func1047 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1047.png | As shown in the figure, the straight line l₁: y = x + 3 and the straight line l₂: y = ax + b intersect at point A(m, 4). Then the solution set for the inequality x + 3 ≤ ax + b is ( ). | D | ['x \\geq 4', 'x \\leq 4', 'x \\geq m', 'x \\leq 1'] | multi_choice |
func1048 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1048.png | As shown in the figure, the straight line l1: y = kx + b (k ≠ 0) and the straight line l2: y = mx + n (m ≠ 0) intersect in the first quadrant. Which of the following statements is not necessarily correct? ( ). | B. k + b < 0 | ['km > 0', 'k + b < 0', 'b - n > 0', 'mb < 0'] | multi_choice |
func1049 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1049.png | As shown in the figure, this is the speed-time relationship graph of a Mars rover during testing. Which of the following statements is incorrect ( ). | C | ['The speed of the train increases before the 10th second of the test.', 'The train runs for 30 meters in the first 4 seconds of the test.', 'The train runs for 60 meters in the first 4 seconds of the test.', 'The speed of the train is the same at the 50th second and the 50th second of the test.'] | multi_choice |
func105 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/105.png | As shown in the figure, it is known that the graph of the inverse proportional function y = k / x (k < 0) passes through the midpoint D of the hypotenuse OA of the right triangle △OAB and intersects the leg AB at point C. If the area of △AOC is 9, the value of k is ______. | -6 | NULL | free_form |
func1050 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1050.png | Xiao Zhang rode a bike from the library to home, stopped at a stationery store for 1 minute to buy a pen, and then continued riding home. If Xiao Zhang's riding speed remained constant, and the distance S (in meters) from home and the time t (in minutes) correspond as shown in the graph, what is the distance between the stationery store and Xiao Zhang's home? | B. 300 meters | ['500 meters', '300 meters', '250 meters', '200 meters'] | multi_choice |
func1051 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1051.png | As shown in figure (a), a moving point P on the edge of rectangle ABCD starts from point B and travels uniformly in the direction B→C→D→A until it stops at point A. The moving speed of point P is 2 cm/s. Let the movement time of point P be t (s), and the area of △PAB be y (cm²). If the function graph related to this is as shown in figure (b), then the perimeter of rectangle ABCD is ( ). | B. 28 cm | ['14cm', '28cm', '36cm', '48cm'] | multi_choice |
func1052 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1052.png | As shown in the figure, in the rectangular coordinate system, a moving point starts from the origin O and moves 1 unit at a time along the direction shown by the arrows, sequentially obtaining the points P1(0, 1), P2(1, 1), P3(1, 0), P4(1, −1), P5(2, −1), P6(2, 0), ..., then what are the coordinates of point P2024? | B. (675, 1) | ['(674, 1)', '(675, 1)', '(674, 0)', '(673, 1)'] | multi_choice |
func1053 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1053.png | Xiao Liang's father goes to a gas station to refuel. If the display board of the fuel dispenser changes the amount with the change of a variable, which of the following judgments is correct? | D | ['The amount of money is an independent variable', 'The unit price is an independent variable', '7.76 and 31 are constants', 'The amount of money increases with the increase in the number of variables'] | multi_choice |
func1054 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1054.png | As shown in the figure, in a Cartesian coordinate system, starting from point P1(1,0), P2(−1,−1), P3(1,−1), P4(1,1), P5(−2,1), P6(−2,−2)... and so on, what are the coordinates of P2021? | C. (−506, −505) | ['(-503, 503)', '(504, 504)', '(-506, 505)', '(-505, -505)'] | multi_choice |
func1055 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1055.png | As shown in the figure, given the line y = kx + b (k and b are constants, k ≠ 0), the solution to the equation kx + b = 1 with respect to x is: () | A. -4 | ['-4', '-1', '0', '-2'] | multi_choice |
func1057 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1057.png | The point E(m, n) is located in the plane Cartesian coordinate system as shown in the figure. Which point might correspond to the coordinates (m-2, n+2)? | A | ['A point', 'B point', 'C point', 'D point'] | multi_choice |
func1059 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1059.png | The great Archimedes once said, 'Give me a lever long enough and a fulcrum on which to place it, and I can move the Earth!' This statement reveals the significance and value of the 'lever principle.' For example, when Xiao Ming uses a crowbar to move a large stone, he is applying the 'lever principle.' Given the resistance force F1(N) and the resistance arm L1(m) as shown in the graph, if Xiao Ming wants the applied force F2 not to exceed 150N, the length of the force arm L2 (unit: m) must satisfy ( ). | D | ['0 < L2 ≤ 4', '0 < L2 < 4', 'L2 > 4', 'L2 ≥ 4'] | multi_choice |
func1060 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1060.png | One day, student Xiao Han went to school. He first walked a certain distance and then switched to riding a bicycle. As a result, he was still 7 minutes late. The relationship between his distance from home (unit: m) and his travel time x (unit: min) is shown in the graph. If he left home directly by bicycle (with a constant speed), then he would ( )
A. Still be 2 minutes late arriving at school
B. Arrive at school just on time
C. Arrive 3 minutes early at school
D. Arrive 2 minutes early at school | B | ['still be 2 minutes late to school', 'arrive at school just on time', 'arrive at school 3 minutes early', 'arrive at school 2 minutes early'] | multi_choice |
func1061 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1061.png | The function y = kx + b (where k and b are constants, k ≠ 0) is graphed as shown. Which of the following statements is correct? ( )
A. When x = -2, y = 1
B. If the points (m, 1) and (1, n) lie on the line, then m > n
C. k < 0
D. If the graph of y = kx + b forms a triangle with the coordinate axes with an area of 2, then b = 2 | D | ['When x = -2, y = 1', 'If point (1, m) and point (1, n) are on the line, then m > n', 'k < 0', 'If the area of the triangle formed by the graph of y = kx + b and the coordinate axes is 2, then b = 2'] | multi_choice |
func1062 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1062.png | As shown in the figure, the line y=kx intersects the hyperbolic curve y=m/x at points A and B. Given that the coordinates of point A are (4, 1), what is the solution set of the inequality kx ≥ m/x? | D | ['x > 4', '0 < x \\leq 4', 'x \\geq 4 or x \\leq -4', 'x > 4 or -4 \\leq x < 0'] | multi_choice |
func1064 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1064.png | Xiao Ming and his family drove to Cuihu Lake for a visit and then returned home. The relationship between the distance from Xiao Ming's home (h) and the time taken is shown in the figure. Which of the following statements is incorrect?
A. The average speed of Xiao Ming's family going to Cuihu Lake is 80km/h
B. Xiao Ming's family stopped to play for 4.5 hours
C. The average speed of Xiao Ming's family returning is 60km/h
D. After Xiao Ming's family started, when the distance reached 90 kilometers, the time taken was 9/8 hours | D | ["The average speed of Xiaoming's family to Cuihu Lake is 80 km/h", "Xiaoming's family stopped playing for 4.5 hours", "The average speed of Xiaoming's family returning home is 60 km/h", "After Xiaoming's family set off, the distance was 90 km, and the time spent was 9/8 hours"] | multi_choice |
func1065 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1065.png | As shown in the figure, a port M is located on the east-west coastline. Two ships, Victory and Intelligent, depart the port simultaneously and sail in fixed directions. Victory and Intelligent travel 12 nautical miles and 16 nautical miles per hour, respectively. After 1 hour, Victory and Intelligent are at points A and B, respectively, and the distance between them is 20 nautical miles. If Victory sails in a direction 40° north of west, what is the sailing direction of Intelligent? ( ) | A. 50° north of east | ['50° north-east', '50° north-west', '40° north-east', '40° north-west'] | multi_choice |
func1066 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1066.png | As shown in the figure, in the rectangular coordinate system Oxy, point A(4,3) is given, and the angle between the line OA and the positive x-axis is α. What is the value of cosα? ( ) | C | ['3/5', '3/4', '4/5', '4/3'] | multi_choice |
func1067 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1067.png | As shown in the figure, in the right-angled triangle △ABC, ∠C is the right angle, DE is the midline, and point P moves from point D to point B at a speed of 1 cm/s. Figure 2 shows the graph of the area V (cm²) of △DEP as a function of time t (s) during the movement of point P. What is the value of a? | B. 3 | ['2', '3', '3/2', '4/3'] | multi_choice |
func1068 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1068.png | As shown in Figure ①, there is a point E on side BC of square ABCD. Connect AE. Point P starts from vertex A of the square and moves uniformly along A→D→C to point C at a constant speed of 1 cm/s. Figure ② shows the function graph of the area y(cm²) of △APE as a function of time t(s) during the motion of point P. When t = 7, the value of y is ( ). | B. 13/2 | ['8', '13/2', '6', '9/2'] | multi_choice |
func1069 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1069.png | If the graph of the inverse proportional function y = 4/x is shown in the figure, the area of the shaded region is ( ). | C.2 | ['4', '3', '2', '1'] | multi_choice |
func1070 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1070.png | 7. As shown in the figure, in the rectangular coordinate system, the vertex P of square PQMN is on the line y = 2x, Q is on the graph of the function y = k/x (k > 0, x > 0), and points M and N are on the x-axis. If the x-coordinate of point Q is 3√2, what is the value of k ( )? | C. 12 | ['6', '6√2', '12', '12√2'] | multi_choice |
func1071 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1071.png | As shown in the figure, if the line y = kx + b intersects the x-axis at point A(-2, 0) and intersects the positive y-axis at point B, with the area of △OAB being 6, then the equation of the line is ( ). | B. y = 3x + 6 | ['y = 1/3 x + 6', 'y = 3x + 6', 'y = 3/2 x + 3', 'y = 2/3 x + 3'] | multi_choice |
func1072 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1072.png | The graph of the linear function y = kx + b is shown in the figure. Which of the following conclusions is correct? ( ) | B | ['k < 0', 'b = -1', 'y decreases as x increases', 'b = 2'] | multi_choice |
func1073 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1073.png | As shown in the figure, point A is on the graph of the function y = -3/x (x > 0), point B is on the graph of the function y = -5/x (x > 0), and AB is parallel to the x-axis, while BC is perpendicular to the x-axis at point C. What is the area of quadrilateral ABCO? ( ) | C | ['1', '2', '\\(\\frac{7}{2}\\)', '\\(\\frac{5}{2}\\)'] | multi_choice |
func1074 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1074.png | As shown in the figure, point A lies on the graph of the function y = 2/x (x > 0), point B lies on the graph of the function y = 3/x (x > 0), and AB is perpendicular to the x-axis while BC is perpendicular to the x-axis at point C. What is the area of quadrilateral ABCO? | B. 2 | ['1', '2', '3', '5'] | multi_choice |
func1075 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1075.png | As shown in the figure, a Cartesian coordinate system is established on a 6×4 grid such that point A has coordinates (1, 2) and point B has coordinates (-1, -1). What are the coordinates of point C? | D | ['(1,2)', '(3,1)', '(-3,-1)', '(-3,1)'] | multi_choice |
func1076 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1076.png | The great ancient Greek philosopher, mathematician, and physicist Archimedes once said: 'Give me a fulcrum, and I can move the Earth!' This famous quote encapsulates the meaning and value of the 'lever principle.' The lever principle has wide applications in production and daily life. For example, when Xiao Ming uses a crowbar to move a large rock, he is using the 'lever principle.' Given that the resistance force F1 (N) and the resistance arm L1 (m) are as shown in the graph, if Xiao Ming wants to use a driving force F2 not exceeding 200 N to move the rock, the driving arm L2 (unit: m) must satisfy ( ). | D | ['0 < L2 ≤ 3', 'L2 < 3', 'L2 > 3', 'L2 ≥ 3'] | multi_choice |
func1077 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1077.png | As shown in the figure, the graph of the linear function y = kx + b intersects the x-axis at the point (2, 0), and intersects the graph of y = x + 1 at the point P(1, 2). Which of the following statements is correct?
A. The solution of the system of equations y = kx + b is \left\{ \begin{aligned} x = 1, \\ y = -2 \end{aligned} \right.
B. The solution of the equation kx + b = 0 is x = -2
C. The solution of the equation kx + b = 0 is x = -2
D. The solution set of the inequality kx + b < x + 1 is x < 1 | A | ['The solution of the system of equations \\( \\begin{cases} y = kx + b \\\\ y = x + 1 \\end{cases} \\) is \\( \\begin{cases} x = 1 \\\\ y = 2 \\end{cases} \\)', 'The solution of the equation kx + b = -2 is x = -2', 'The solution of the equation kx + b = 1 is x = -2', 'The solution set of the inequality kx + b < x + 1 is x < 1'] | multi_choice |
func1079 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1079.png | As shown in the figure, in the plane rectangular coordinate system, D(3,4) moves from line l towards G. Segment AB, CD, DE, FG successively follow a non-elastic string of length 2024 units fixed at one end at point A. The sequence of endpoints is A, and the final endpoint is D. The result is | A | ['(-3, 2)', '(-3, 4)', '(3, 4)', '(3, 2)'] | multi_choice |
func108 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/108.png | As shown in the figure, △ABC is placed on a grid where each small square has a side length of 1, and points A, B, and C all fall on grid points. If the coordinates of point B are (2, -1), then the coordinates of the point equidistant from the three vertices of △ABC are __________. | (0, 0) | NULL | free_form |
func1080 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1080.png | As shown in the figure, in a rectangular coordinate system, the vertices A, B, C of rhombus ABCD are on the coordinate axes. If the coordinates of point B are (-1,0) and ∠BCD = 120°, what are the coordinates of point D? | B (2, √3) | ['(1, 2)', '(2, √3)', '(√3, 2)', '(2, 2)'] | multi_choice |
func1081 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1081.png | Duoduo walks from home to school, and the function relationship between the distance from home (meters) and walking time (minutes) is shown in the figure. If Duoduo maintains a constant walking speed, what is the time spent resting midway? | B. 5.6 minutes | ['5 minutes', '5.6 minutes', '6 minutes', '6.4 minutes'] | multi_choice |
func1082 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1082.png | If the linear function y = kx + b (k ≠ 0) has a graph as shown in the figure, which of the following statements is correct?
A. k > 0
B. b = 4
C. y increases as x increases
D. When x > 4, y < 0 | D | ['k > 0', 'b = 4', 'The slope increases with the increase of \\(b\\)', 'When \\(x > 4\\), \\(y < 0\\)'] | multi_choice |
func1083 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1083.png | 3. The Chinese knot is a type of handcrafted art, featuring symmetrical and intricate designs. It symbolizes the long history of the Han ethnicity and aligns with Chinese traditional decorative customs and aesthetic preferences, hence it is named the Chinese knot. The mathematical definition of the Chinese knot is as follows: it is located at a position in the Cartesian coordinate system (as shown in the given figure) and represents the symmetrical beauty of a mathematical graph. It features several elegant curves, such as the addition of points displayed as simple two-dimensional lines, among which the curve corresponds to the lemniscate. The lemniscate in the Cartesian coordinate system is shown in the figure. Which of the following conclusions is correct?
A. ①②④⑤
B. ③④⑤
C. ②③④
D. ①③④⑤ | D | ['The double helix curve is a closed curve (the axes, coordinates, and labels are all integers);', 'The double helix curve has 4 intersection points with the coordinate axes;', 'The area of the triangle formed by the points O, P, and B is 6;', 'All of the above statements are correct.'] | multi_choice |
func1084 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1084.png | As shown in the figure, in the rectangular coordinate system, the coordinates of point A are (0,3). After triangle △OAB is translated to the right along the x-axis, it becomes △O'A'B'. The corresponding point A' of point A lies on the line y=x. What is the distance between point B and its corresponding point B'? ( ) | A. 3 | ['3', '4', '5', '6'] | multi_choice |
func1085 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1085.png | As shown in the figure, the graph of the linear function y = kx + b (where k and b are constants and k ≠ 0) intersects the x-axis and y-axis at points A(2, 0) and B(0, 1), respectively. Then the solution set of the inequality kx + b > 1 for x is ( ). | B | ['x < 1', 'x < 0', 'x < 2', 'x > 2'] | multi_choice |
func1086 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1086.png | As shown in the figure, the position of point A is correctly described as ( ). | D | ['A place 3km away', 'In the direction of 40° northeast of point O', 'In the direction of 40° northeast of point O, 3km away', 'In the direction of 50° northwest of point O, 3km away'] | multi_choice |
func1087 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1087.png | As shown in the figure, point O is the center of a regular hexagon. Points P and Q start simultaneously from the position (4,1,0) and move along the directions indicated in the figure. The speed of point P is 1 unit length per second, and the speed of point Q is 2 unit lengths per second. What are the coordinates of the 2024th meeting point? | C (-1, -√3/2) | ['(-1, -√3/2)', '(1, 0)', '(-1/2, -√3/2)', '(-1, 0)'] | multi_choice |
func1088 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1088.png | As shown in the figure, for the linear function y = kx + b and y = -x + 5, the coordinate of their intersection is (2, 3). Then the solution of the equation -x + 5 = kx + b with respect to x is ( ) | D | ['x = 3', 'x = 2', 'x = 3', 'x = 2'] | multi_choice |
func1089 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1089.png | The Chinese knot is a type of handmade weaving craft. Due to its symmetrical and delicate appearance, it represents the long history of the Han ethnic group, aligns with traditional Chinese decorative customs, and meets aesthetic standards, hence the name 'Chinese knot.' The Chinese knot has aesthetically complex curves, but it can be reduced to the simplest two-dimensional lines. The small character lines correspond to the double-knot curve at integer nodes in a two-dimensional Cartesian coordinate system, as shown in the figure. Which of the following conclusions are correct?
① The area formed by the double-knot curve is less than 6;
② The coordinates of the intersection points of the double-knot curve are all integer points (points where both the x-coordinate and y-coordinate are integers);
③ The area of the triangle formed by any three points on the double-knot curve does not exceed 3;
④ On a point P on the double-knot curve, with points A and B being the intersections of the double-knot curve with the x-axis, there are 4 points P that satisfy the area of triangle PAB being equal to 3.
A.①②③ B.②③④ C.①③④ D.②③④ | C | ['The area enclosed by the curve is less than 6.', 'The curve contains 1 integer point (both the x-coordinate and y-coordinate are integers).', 'Any two points on the curve are symmetric with respect to the origin.', 'If A and B are two points on the curve, and AB is the x-axis, then the area of triangle PAB is 4.'] | multi_choice |
func109 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/109.png | As shown in the figure, the relationship between temperature T (℃) of a certain area and the increase in altitude h (km) is provided. Observing the graph, it can be concluded that the ground temperature of the area is ______ ℃; when the altitude exceeds ______ km, the temperature will drop below 0℃. | 30, 5 | NULL | free_form |
func1090 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1090.png | The steelyard is one of humanity's great inventions. As shown in the diagram below, this is a type of steelyard. The weight is fixed at point A, the weighing pan hangs at point B, and point C is the zero scale point. When the weighing pan is empty, lifting the handle allows the weight to move to point C, and the steelyard is balanced. When an item weighing x grams is placed on the weighing pan, the weight is moved to a position where the distance from the weight to the handle is y millimeters, at which point the steelyard is balanced. It is known that x and y satisfy the linear function relationship. The corresponding data table for x and y is shown below:
What is the value of y when x = 14?
A. 45 B. 46 C. 48 D. 50 | B | ['45', '46', '48', '50'] | multi_choice |
func1091 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1091.png | On Saturday, Li Jian rode his bicycle from home to the botanical garden to play. After spending some time there, he headed back home. On his way back, he discovered a beautiful view near a homestay, stopped to take some photos, and then continued cycling home. Based on the graph showing the distance from and time away from home, which of the following statements is correct?
A. Li Jian's home is 10 kilometers away from the botanical garden.
B. He spent 1.5 hours playing in the botanical garden.
C. His average speed cycling back home from the homestay after taking photos was 10 km/h.
D. The homestay is 2 kilometers away from Li Jian's home. | C | ["The distance from Li Jian's home to the botanical garden is 10 km.", 'He played in the botanical garden for 1.5 hours.', 'The average speed of his return journey from the homestay is 10 km/h.', "The distance from the homestay to Li Jian's home is 2 km."] | multi_choice |
func1093 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1093.png | As shown in the figure, △ABC is obtained by translating △A'B'C'. If A'(-3,0), B'(-4,-2), C'(0,-5), A(m,3.5), B(0,n), then the value of m+n is ( ). | A | ['2.5', '3', '3.5', '4'] | multi_choice |
func1094 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1094.png | As shown in the figure, the area of square ABCD is 3. AB is on the positive half of the x-axis, and with A(1,0) as the center and AC as the radius, a circle is drawn that intersects the negative half of the x-axis at point E. What is the x-coordinate of point E? | B | ['-√3 + 1', '1 - √6', '-√6 - 1', '1 - 3√2'] | multi_choice |
func1095 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1095.png | 1. In order to further implement the spirit of the State Council's 'Opinions on Strengthening School Physical Education to Promote Students' Physical and Mental Health and Overall Development,' a school plans to purchase some basketballs and jump ropes for students. After investigating the prices in a certain store, it is known that the price of one basketball is 50 yuan more than 4 times the price of one jump rope. w1 and w2 represent the relationship between the cost w (in yuan) and the quantity n (unit: pieces or ropes) for purchasing basketballs and jump ropes, respectively, as shown in the figure. If the unit price of the jump rope is x yuan, the equation can be established as ( ). | A | ['w1 = 600 / (4x + 50), w2 = 100 / x', 'w1 = 600 / x, w2 = 100 / (4x + 50)', 'w1 = 600 / x, w2 = 100 / (4x + 50)', 'w1 = 600 / x, w2 = 100 / (4x - 50)'] | multi_choice |
func1097 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1097.png | The following four graphs approximately depict the relationship between two variables. Which of the following sequences aligns these graphs with the described scenarios correctly? ( )
① A car travels at a constant speed on a highway (the relationship between the car's traveled distance and time);
② Water is uniformly poured into an inverted bottle (the relationship between the water level and pouring time);
③ A thermometer at room temperature is placed in a cup of hot water (the relationship between the thermometer reading and time);
④ A cup of hot water cools down (the relationship between water temperature and time).
A.①②③④ B.②③④① C.①④②③ D.③②④① | D | ['①②④③', '②①④③', '①④②③', '③②④①'] | multi_choice |
func1098 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1098.png | As shown in the figure, in the rectangular coordinate plane xOy, the straight lines l₁/l₂ are the graphs of the functions y=k₁x+b₁ and y=k₂x+b₂, respectively. Then the solution set of the inequality k₁x+b₁ > k₂x+b₂ for x is ( ). | A. x < -2 | ['x < -2', 'x > -2', 'x ≤ 2', 'x ≥ 2'] | multi_choice |
func1099 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/1099.png | Walking is my hometown "2023 Henan Province Cycling Open and Central Plains Cycling Open kicked off passionately at the head of the South-to-North Water Diversion Project Middle Route. The graphs show the journey y (in kilometers) of contestants A and B over time x (in hours) (whole journey). Which of the following statements is incorrect?" | A | ['A reaches the finish line before B', 'Both ran 21 thousand meters in the first hour', 'Within the first hour after the start, A is ahead of B', 'Both ran 42.195 thousand meters'] | multi_choice |
func11 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/11.png | Xiaomei's house (A), Xiaoming's house (B), and Xiaoli's house (C) are in the same neighborhood, as shown in the figure. If the position of Xiaomei's house (A) is represented as (-4, -3) and Xiaoming's house (B) is represented as (2, 1), then the position of Xiaoli's house (C) can be represented as ________. | (-2, 0) | NULL | free_form |
func110 | /home/yz979/scratch/chengye/math/data/original_set/funcset/images/images/110.png | As shown in the figure, points A and B lie on the graphs of the inverse proportional functions y=12/x and y=k/x, respectively. Perpendiculars are drawn from points A and B to the x-axis and y-axis, forming a shaded area with an area of 7. What is the value of k? | 7 | NULL | free_form |
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