messages listlengths 2 2 | images listlengths 1 1 |
|---|---|
[
{
"content": "<image>\nQuestion: As shown in the figure, AB, AC, and BD are tangents to circle O. P, C, and D are the points of tangency. If AB = 5 and AC = 3, then the length of BD is ___.",
"role": "user"
},
{
"content": "<perception>The image shows a circle O with three tangent lines AB, AC, and ... | [
"cold_start_9k/images/66171.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, △ABC is translated to the right to become △DEF. If BE=3cm, then CF= ______ cm.",
"role": "user"
},
{
"content": "<perception>The image shows two triangles, △ABC and △DEF. △DEF is the result of translating △ABC to the right. Point B is translat... | [
"cold_start_9k/images/66182.jpg"
] |
[
{
"content": "<image>\nQuestion: How many times is the price of the shoes compared to the hat?",
"role": "user"
},
{
"content": "<perception>The image shows a pair of boots and a hat. The boots are priced at 24 yuan, and the hat is priced at 8 yuan.</perception>\n<reasoning>The question asks how man... | [
"cold_start_9k/images/66195.jpg"
] |
[
{
"content": "<image>\nQuestion: There is a spinning top (as shown in the figure), with a cylinder on top and a cone at the bottom. The diameter of the cylinder's base is 4 cm, its height is 2 cm, and the cone's height is 1.5 cm. To fit this spinning top into a rectangular packaging box, the volume of the box m... | [
"cold_start_9k/images/66207.jpg"
] |
[
{
"content": "<image>\nQuestion: In the 2008 Beijing Olympics, the Chinese team topped the gold medal tally and won all the gold medals in table tennis. After the Olympics, many table tennis fans appeared in Class 6A, with 14 boys, who are 2 more than twice the number of girls. There are ____ girl table tennis ... | [
"cold_start_9k/images/66229.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the sequence , then \\(a_{1} + a_{2} + a_{3} + a_{4} + \\ldots + a_{99} + a_{100} = \\_\\_\\_\\_\\_.",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function definition for a sequence denoted as $a_n$. The function is defined as follow... | [
"cold_start_9k/images/66232.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart as shown in the image, then the output value of S is _______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing two variables: S = 0 and n = 1. Then, it enters a ... | [
"cold_start_9k/images/66234.jpg"
] |
[
{
"content": "<image>\nQuestion: A and B are two ships starting at the same time from locations A and B, which are 145 km apart from each other along the east-west direction. Ship A travels from point A to the west, while ship B travels from point B to the south. The speed of ship A is 40 km/h, and the speed of... | [
"cold_start_9k/images/66235.jpg"
] |
[
{
"content": "<image>\nQuestion: Given: As shown in the figure, in △ABC, AB=AC, ∠B=75°, then ∠A=______ degrees.",
"role": "user"
},
{
"content": "<perception>The image shows an isosceles triangle ABC, where AB=AC. Angle B is labeled as 75 degrees. The question asks for the measure of angle A in degr... | [
"cold_start_9k/images/66238.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function f(x) = , if f(f(0)) = 6, then the value of a is (__)",
"role": "user"
},
{
"content": "<perception>\nThe image shows a piecewise function defined as follows:\nf(x) =\n{ 3^x + 1, if x < 1\n{ x^2 + ax, if x >= 1\nThe problem states that f(f(0)) = 6 a... | [
"cold_start_9k/images/66253.jpg"
] |
[
{
"content": "<image>\nQuestion: There were 852 tourists in the Science Park in the morning. At noon, 265 tourists left, and in the afternoon, 403 more tourists arrived. How many tourists are in the park now?",
"role": "user"
},
{
"content": "<perception>The image shows a group of children and a tea... | [
"cold_start_9k/images/66266.jpg"
] |
[
{
"content": "<image>\nQuestion: (2014 Autumn • Anyang Final Exam) As shown in the figure, AD is perpendicular to BC at point D, BD = DC, point C is on the perpendicular bisector of AE, and DE = 8. Then AB + BD = ____.",
"role": "user"
},
{
"content": "<perception>The image shows a geometric figure ... | [
"cold_start_9k/images/66273.jpg"
] |
[
{
"content": "<image>\nQuestion:",
"role": "user"
},
{
"content": "<perception>The image shows a car and two speech bubbles. The first speech bubble says \"I can travel 261 kilometers in 3 hours.\" The second speech bubble says \"At this rate, how many kilometers can I travel in 5 hours?\"</percepti... | [
"cold_start_9k/images/66308.jpg"
] |
[
{
"content": "<image>\nQuestion: How many more bricks are in 3 piles compared to 1 pile?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of piles\" and the second column is labeled \"Number of bricks\". The first row shows 1 p... | [
"cold_start_9k/images/66311.jpg"
] |
[
{
"content": "<image>\nQuestion: A pen is placed flat against a ruler (as shown in the image). Xiao Ming notices that the tip of the pen (Point A) is exactly at the approximately 5.6 cm mark on the ruler, and the other end (Point B) is exactly at the approximately 20.6 cm mark on the ruler. The approximate rule... | [
"cold_start_9k/images/66330.jpg"
] |
[
{
"content": "<image>\nQuestion: The maximum value of the function is ________",
"role": "user"
},
{
"content": "<perception>The image shows the function f(x) = sin(x + φ) - 2sin(φ)cos(x). The goal is to find the maximum value of this function. </perception> <reasoning>We can rewrite the function u... | [
"cold_start_9k/images/66332.jpg"
] |
[
{
"content": "<image>\nQuestion: If the perimeter of △ABC is 20 and the area is , then the length of side BC is ___________.",
"role": "user"
},
{
"content": "<perception>The image shows the text \"10√3, A = 60°\". This suggests that in a triangle ABC, the area is 10√3 and angle A is 60 degrees. The... | [
"cold_start_9k/images/66340.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the average of these numbers?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Quiz show scores\". The table has two columns: \"Name\" and \"Score\". The \"Name\" column lists the names of quiz show participants: Vince, Bruce, Kenny... | [
"cold_start_9k/images/66345.jpg"
] |
[
{
"content": "<image>\nQuestion: The function (constant α∈Z) is an even function and is monotonically decreasing on (0,+∞), then the value of α is ___.",
"role": "user"
},
{
"content": "<perception>The image shows the function f(x) = x^(α^2 - 2α - 3), where α is an integer. The problem states that ... | [
"cold_start_9k/images/66349.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the image, if the perimeter of the square is 20 centimeters, the area of the parallelogram is ____ square centimeters.",
"role": "user"
},
{
"content": "<perception>The image shows a square and a parallelogram. The base of the parallelogram is the same as... | [
"cold_start_9k/images/66351.jpg"
] |
[
{
"content": "<image>\nQuestion: _________。_",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: lg 25 + lg 2 lg 50 + (lg 2)^2 =. The expression involves logarithms (lg), numbers 25, 50, and 2, and arithmetic operations such as addition and squaring. The goal is ... | [
"cold_start_9k/images/66352.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in square ABCD, ∠D = ∠B = 50°, AB = BC, then ∠2 = _________ degrees.",
"role": "user"
},
{
"content": "<perception>The image shows a quadrilateral ABCD with a line segment AC connecting vertices A and C. Angle 1 and angle 2 are formed at verte... | [
"cold_start_9k/images/66358.jpg"
] |
[
{
"content": "<image>\nQuestion: If 3 screws are removed from each tool box, how many screws will be in 4 tool boxes?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of tool boxes\" and the second column is labeled \"Number of... | [
"cold_start_9k/images/66361.jpg"
] |
[
{
"content": "<image>\nQuestion: The school bought 5 bundles of , each bundle containing 5 pieces. They distributed 23 pieces to the third grade, and there are ____ pieces left.",
"role": "user"
},
{
"content": "<perception>The image shows a blue jump rope with light brown handles. The rope is coile... | [
"cold_start_9k/images/66364.jpg"
] |
[
{
"content": "<image>\nQuestion: Read the program flowchart below, the output of the program is (___ ),",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing two variables, S and i, to 1. Then, there is a loop. Inside the loop, S... | [
"cold_start_9k/images/66370.jpg"
] |
[
{
"content": "<image>\nQuestion: If the program shown in the image is run, the output will be ____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables: s to 1 and i to 3. Then, it enters a loop. The loop continues ... | [
"cold_start_9k/images/66371.jpg"
] |
[
{
"content": "<image>\nQuestion: If the program flowchart shown in the image is executed, then the output S = ____.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables, i and S, to 1. Then, it enters a loop. Inside ... | [
"cold_start_9k/images/66376.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the set (__ )",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression involving sets.\nSet A is defined as A = {x ∈ Z | |x - 3| < 2}, which means A contains all integers x such that the absolute value of (x - 3) is less than 2.\n... | [
"cold_start_9k/images/66387.jpg"
] |
[
{
"content": "<image>\nQuestion: In a square cardboard with a side length of 30 cm, equal squares are cut from the four corners, and then the edges are folded up along the dotted lines (as shown in the figure) to make an open-top square-bottom box. When the side length of the bottom of the box is ___ cm, the vo... | [
"cold_start_9k/images/66390.jpg"
] |
[
{
"content": "<image>\nQuestion: Inside a plastic box, there are seven cards, each labeled with . Three people, A, B, and C, each took 2 of them and performed division. \nA says: The quotient is 71. \nB says: The quotient is 72. \nC says: The quotient is 73. \nTheir calculations are all correct. What number... | [
"cold_start_9k/images/66407.jpg"
] |
[
{
"content": "<image>\nQuestion: On a certain day, a vegetable vendor used 60 yuan to purchase a total of 40 kg of tomatoes and string beans from the vegetable wholesale market to sell at the market. The wholesale and retail prices of tomatoes and string beans that day are shown in the table: . How much profit ... | [
"cold_start_9k/images/66437.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the weight of the bear in kilograms?",
"role": "user"
},
{
"content": "<perception>The image shows a cartoon tiger and a cartoon polar bear. The tiger says \"My weight is 320 kilograms.\" The polar bear says \"My weight is 3 times the tiger's weight minus 153... | [
"cold_start_9k/images/66438.jpg"
] |
[
{
"content": "<image>\nQuestion: The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many players scored at least 1 goal last season?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Soccer goals last seas... | [
"cold_start_9k/images/66443.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the program flowchart as shown in the figure, the output value of $$S$$ is ______ .",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with initializing two variables: S = 1 and n = 18. Then, there is a loop. The l... | [
"cold_start_9k/images/66462.jpg"
] |
[
{
"content": "<image>\nQuestion: (2014 Autumn • Taixing City School Monthly Exam) In the figure, △ABC ≌ △DEF, the perimeter of △DEF is 26 cm, DE = 9 cm, EF = 11 cm, ∠E = ∠B. Then AC = ____ cm.",
"role": "user"
},
{
"content": "<perception>The image shows two triangles, △ABC and △DEF, positioned such... | [
"cold_start_9k/images/66476.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the point (a,b) in the first quadrant lies on the line 2x+3y-1=0, the minimum value of the algebraic expression is ________.",
"role": "user"
},
{
"content": "<perception>The image shows the expression 2/a + 3/b. The problem states that the point (a,b) li... | [
"cold_start_9k/images/66480.jpg"
] |
[
{
"content": "<image>\nQuestion: Solve the equation: _",
"role": "user"
},
{
"content": "<perception>The image shows an equation: (x-3)/(x-2) + 1 = 3/(2-x). The equation involves fractions with x in the denominator. The denominators are x-2 and 2-x, which are negatives of each other. </perception>\n... | [
"cold_start_9k/images/66483.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Colton need to buy a brass clip and a four-inch nail?",
"role": "user"
},
{
"content": "<perception>The image shows a list of hardware items and their prices. The items are: flat-head bolt ($0.02), four-inch nail ($0.04), gold tack ($0.05), small ... | [
"cold_start_9k/images/66491.jpg"
] |
[
{
"content": "<image>\nQuestion: Aunt Wang went to the clothing store to buy a blouse, which cost 540 yuan. How many yuan cheaper is this than the marked price?",
"role": "user"
},
{
"content": "<perception>The image shows a clothing store with a sign that says \"All clothes in this store are 10% of... | [
"cold_start_9k/images/66493.jpg"
] |
[
{
"content": "<image>\nQuestion: f[f(2)] = ___.",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function definition. The function f(x) is defined as x+1 when x is less than or equal to 1, and -x+3 when x is greater than 1. The question asks to find the value of f[f(2)].</pe... | [
"cold_start_9k/images/66503.jpg"
] |
[
{
"content": "<image>\nQuestion: A single beehive can be approximately considered as a regular hexagonal shape. As shown in the figure, this is a graphic of a group of beehives. Suppose the (1)st figure contains 1 beehive, the (2)nd figure contains 7 beehives, and the (3)rd figure contains 19 beehives. Followin... | [
"cold_start_9k/images/66513.jpg"
] |
[
{
"content": "<image>\nQuestion: Let positive real numbers x, y, z satisfy , then the maximum value of y is __________.",
"role": "user"
},
{
"content": "<perception>The image shows two equations:\n1. x + y + z = 4\n2. xy + yz + zx = 5\n\nThe problem asks to find the maximum value of y, given that x... | [
"cold_start_9k/images/66537.jpg"
] |
[
{
"content": "<image>\nQuestion: Given that the hyperbola passes through the vertex of the parabola \\( y = (x-1)^{2} + 2 \\), then \\( k = \\) ___.",
"role": "user"
},
{
"content": "<perception>The image shows the equation y = k/x. This represents a hyperbola. The question states that this hyperbo... | [
"cold_start_9k/images/66556.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, a student standing at point \\(C\\) in a teaching building directly opposite to the flagpole observes the elevation angle to the top of the flagpole \\(A\\) to be \\(30^{\\circ}\\), and the depression angle to the bottom of the flagpole \\(B\\) to be \\(4... | [
"cold_start_9k/images/66563.jpg"
] |
[
{
"content": "<image>\nQuestion: :\n\nAccording to the procedure described in the figure, if the starting input value is n=6, then the final output result is ___.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with \"Input n\". Then it calculates s_n ... | [
"cold_start_9k/images/66568.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the median number of pizzas made by the pizza chef over the past 7 days?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Pizzas made\". The table has two columns: \"Day\" and \"Number of pizzas\". The rows list the days of the week... | [
"cold_start_9k/images/66572.jpg"
] |
[
{
"content": "<image>\nQuestion: The math scores of 54 students in a certain class for their first exam are . The mean and standard deviation of these scores are 90 points and 4 points, respectively. If each student's score increases by 5 points in the second exam, then the sum of the mean and the standard devi... | [
"cold_start_9k/images/66584.jpg"
] |
[
{
"content": "<image>\nQuestion: (Spring 2010 • Tengzhou End of Term Exam) As shown in the figure, given that AB = AC, CD = BD, and E is on line segment AD, then the number of pairs of congruent triangles in the figure is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a quadrila... | [
"cold_start_9k/images/66601.jpg"
] |
[
{
"content": "<image>\nQuestion: Execute the flowchart shown in the image, and the sum of all the output values is ____________.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart. The flowchart starts with initializing x to 1. Then, it checks if x is a multiple of 3. If it is... | [
"cold_start_9k/images/66605.jpg"
] |
[
{
"content": "<image>\nQuestion: The value of T output by executing the program flowchart shown in the image is (_ )",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables, S and T, to 0. Then, it enters a loop. Inside... | [
"cold_start_9k/images/66619.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function f(x)=, then f(5)=____________.",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 2^x if x < 4\nf(x) = f(x-1) if x >= 4\nThe question asks for the value of f(5).\n</perception>\n<reasoning... | [
"cold_start_9k/images/66630.jpg"
] |
[
{
"content": "<image>\nQuestion: ___________ .",
"role": "user"
},
{
"content": "<perception>The image shows a definite integral expression. The integral is from 0 to 3 of the function (3x^2 + 2x) with respect to x. The expression is: ∫_0^3 (3x^2 + 2x) dx = </perception>\n<reasoning>The question is ... | [
"cold_start_9k/images/66649.jpg"
] |
[
{
"content": "<image>\nQuestion: Buying stationery.\nPen: 8.7 yuan each\nNotebook: 5.3 yuan each\nA group of 18 third-grade students collectively buys 18 pens and 18 notebooks. How much does it cost in total?",
"role": "user"
},
{
"content": "<perception>The image shows the discount policy of a stat... | [
"cold_start_9k/images/66650.jpg"
] |
[
{
"content": "<image>\nQuestion: A rectangular vegetable garden has one side against a wall (as shown in the figure). The length is 7 meters, and the width is 6 meters. Now, fencing needs to be placed around the other three sides. How many meters of fencing are at least required?",
"role": "user"
},
{
... | [
"cold_start_9k/images/66664.jpg"
] |
[
{
"content": "<image>\nQuestion: How much money does Julia spend on 3 pounds of plain yogurt and 1 pound of cream cheese?",
"role": "user"
},
{
"content": "<perception>The image shows a table with dairy products and their prices per pound. The table lists cottage cheese at $2 per pound, sour cream a... | [
"cold_start_9k/images/66677.jpg"
] |
[
{
"content": "<image>\nQuestion: (Spring 2010 • Xiaonan District School Final) Arrange 25 numbers into a table as shown in the figure. Each row of 5 numbers from left to right forms an arithmetic sequence, and each column of 5 numbers from top to bottom also forms an arithmetic sequence. The number in the cente... | [
"cold_start_9k/images/66682.jpg"
] |
[
{
"content": "<image>\nQuestion: When \\(a(a-1) - (a^2 - b) = -2\\), find the value of .",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: a fraction with \"2(b-a)\" in the numerator and \"a^2 + b^2 - 2ab\" in the denominator. The expression is: (2(b-a))/(a^2 ... | [
"cold_start_9k/images/66684.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the difference between the White and Hispanic Congressional seats?",
"role": "user"
},
{
"content": "<perception>The image is a bar graph showing the percentage of congressional seats, all lawmaker posts on social media, and posts mentioning \"Black lives mat... | [
"cold_start_9k/images/66720.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, the side length of the equilateral △ABC is 1 cm. Points D and E are located on AB and AC, respectively. When △ADE is folded along line DE, point A falls at point A′, and point A′ is outside △ABC. The perimeter of the shaded region is ___ cm.",
"role":... | [
"cold_start_9k/images/66741.jpg"
] |
[
{
"content": "<image>\nQuestion: The root of the equation is _____________.",
"role": "user"
},
{
"content": "<perception>The image shows the equation: sqrt(2x - 3) = 1. It is an algebraic equation involving a square root. The task is to find the root of the equation. </perception>\n<reasoning>The ... | [
"cold_start_9k/images/66744.jpg"
] |
[
{
"content": "<image>\nQuestion: The flowchart of a program is shown in the figure. When the output value of \\( y \\) is \\(-8\\), the output value of \\( x \\) is ______",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts with initializing var... | [
"cold_start_9k/images/66747.jpg"
] |
[
{
"content": "<image>\nQuestion: Mr. Casey, a track coach, recorded the sizes of all the nearby track teams. How many teams have exactly 85 members?",
"role": "user"
},
{
"content": "<perception>The image is a stem-and-leaf plot showing the sizes of track teams. The stem represents the tens digit, a... | [
"cold_start_9k/images/66766.jpg"
] |
[
{
"content": "<image>\nQuestion: How many kilometers per hour is the ostrich faster than the car?",
"role": "user"
},
{
"content": "<perception>The image shows an ostrich and a truck. The ostrich says \"I run 52.3 kilometers per hour.\" The truck says \"I run 44.5 kilometers per hour.\"</perception>... | [
"cold_start_9k/images/66772.jpg"
] |
[
{
"content": "<image>\nQuestion: According to the program flowchart shown in the figure, if the input is x=8, what will be the output k=(___ )?",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by taking an input x. Then, it initializes k to 0... | [
"cold_start_9k/images/66774.jpg"
] |
[
{
"content": "<image>\nQuestion: :\n\nThe Guilin landscape is renowned as \"the best scenery under heaven.\" The Elephant Trunk Hill, located in Guilin's Elephant Hill Park, is a symbol of Guilin's landscape and a landmark of Guilin City. Xiao Chen (BC), who is 1.7 meters tall, observes the summit A of the hill... | [
"cold_start_9k/images/66776.jpg"
] |
[
{
"content": "<image>\nQuestion: _= _________.",
"role": "user"
},
{
"content": "<perception>The image shows a mathematical expression: (1 - π)^0. It represents the quantity (1 minus pi) raised to the power of 0. </perception> <reasoning>The question asks for the value of the expression (1 - π)^0. A... | [
"cold_start_9k/images/66797.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, in quadrilateral $$ABCD$$, $$\\overrightarrow{DC} = \\dfrac{1}{3}\\overrightarrow{AB}$$, point $$E$$ is the midpoint of $$BC$$, and $$\\overrightarrow{AE} = x\\overrightarrow{AB} + y\\overrightarrow{AD}$$, then $$3x - 2y =$$ ______ .",
"role": "user"
... | [
"cold_start_9k/images/66801.jpg"
] |
[
{
"content": "<image>\nQuestion: The management department conducted a survey of 10,000 local middle school students on their participation in the \"Sunny Winter Long Run\" activity. Let x (unit: meters) represent the average daily distance run. The following four categories are used for the statistics based on... | [
"cold_start_9k/images/66803.jpg"
] |
[
{
"content": "<image>\nQuestion: There are two excavation tasks for two sections of a river canal with equal lengths, assigned to Team A and Team B respectively, to be carried out simultaneously. The diagram below reflects the relationship between the length of the excavated canal y (in meters) and the excavati... | [
"cold_start_9k/images/66812.jpg"
] |
[
{
"content": "<image>\nQuestion: The perimeter is ____.",
"role": "user"
},
{
"content": "<perception>The image shows a rectangle. The length of the rectangle is labeled as 6 and the width is labeled as 4.</perception>\n<reasoning>The perimeter of a rectangle is given by the formula P = 2l + 2w, whe... | [
"cold_start_9k/images/66817.jpg"
] |
[
{
"content": "<image>\nQuestion: Xiao Ming accidentally broke a triangular glass into four pieces as shown in the image (i.e., the four pieces labeled 1, 2, 3, and 4 in the image). Which piece do you think should be taken to pair with another piece to restore the original triangle of the same size? You should t... | [
"cold_start_9k/images/66826.jpg"
] |
[
{
"content": "<image>\nQuestion: During a handicraft activity, Xiaoyu first folded a rectangular piece of paper as shown in the left diagram, making the left side of the crease 1 cm shorter than the right side; after unfolding the paper, he folded it again as shown in the right diagram, making the left side of ... | [
"cold_start_9k/images/66830.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the diagram, a rectangular flower bed ABCD with unequal adjacent sides has one side AD using an existing wall, and the total length of the fences surrounding the other three sides is 6m. If the area of the rectangle is 4m², then the length of AB is ____m (the length ... | [
"cold_start_9k/images/66832.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the average number of donations received per month?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Charity donations\". The table has two columns: \"Month\" and \"Number of donations\". The months listed are November, December, Ja... | [
"cold_start_9k/images/66839.jpg"
] |
[
{
"content": "<image>\nQuestion: In order to understand the intention of undergraduate students to participate in a certain social practice activity, a university intends to use stratified sampling to select a sample of 300 students from the four grades of its undergraduates for investigation. It is known that ... | [
"cold_start_9k/images/66844.jpg"
] |
[
{
"content": "<image>\nQuestion: (Autumn 2013 • End of term in Yixing) The figure shows the three views of a geometric body. If the volume of this geometric body is 30, then its surface area is ____.",
"role": "user"
},
{
"content": "<perception>The image shows the three views of a geometric body. T... | [
"cold_start_9k/images/66858.jpg"
] |
[
{
"content": "<image>\nQuestion: :\n\nRead the program flowchart on the right, then the output S = (__)",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables: S to 0 and i to 1. Then, it enters a loop. Inside the loop... | [
"cold_start_9k/images/66862.jpg"
] |
[
{
"content": "<image>\nQuestion: If 2 ducks leave each lake, how many ducks will be left in 5 lakes?",
"role": "user"
},
{
"content": "<perception>The image is a table with two columns. The first column is labeled \"Number of lakes\" and the second column is labeled \"Number of ducks\". The table sh... | [
"cold_start_9k/images/66867.jpg"
] |
[
{
"content": "<image>\nQuestion: What is the maximum number of ducks that Sophie counted at any pond in the city?",
"role": "user"
},
{
"content": "<perception>The image shows a stem and leaf plot titled \"Ducks per pond\". The stem represents the tens digit and the leaf represents the ones digit. T... | [
"cold_start_9k/images/66870.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, △A′B′C′ is obtained by translating △ABC 2 cm along the direction of the ray AC. If AC = 3 cm, then A′C = ____ cm.",
"role": "user"
},
{
"content": "<perception>The image shows two triangles, △ABC and △A′B′C′. △A′B′C′ is the result of translati... | [
"cold_start_9k/images/66886.jpg"
] |
[
{
"content": "<image>\nQuestion: The right image shows the program flowchart of a certain algorithm. The output result after the program runs is ___.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables: s = 0 and... | [
"cold_start_9k/images/66907.jpg"
] |
[
{
"content": "<image>\nQuestion: The algorithm flowchart is shown in the image, and its output result is _______.",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts by initializing a variable 'a' to 1. Then, it enters a loop where 'a' is u... | [
"cold_start_9k/images/66916.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, for the square of natural numbers greater than or equal to 2, perform the following \"splitting\": split it into the sum of n consecutive odd numbers. Then the largest number in the splitting of the natural number 9^2 is (___).",
"role": "user"
},
... | [
"cold_start_9k/images/66920.jpg"
] |
[
{
"content": "<image>\nQuestion: Let the function \\( f(x) = \\). If \\( f(3) = 2 \\) and \\( f(-2) = 0 \\), then \\( b = ___ \\).",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = log_a(x+1) when x > 0\nf(x) = x^2 + ax + b when x <= 0\n\... | [
"cold_start_9k/images/66922.jpg"
] |
[
{
"content": "<image>\nQuestion: How many more pieces of mail did Rachel receive on Wednesday compared to Saturday?",
"role": "user"
},
{
"content": "<perception>The image is a table titled \"Pieces of mail received\". The table has two columns: \"Day\" and \"Number of pieces of mail\". The rows are... | [
"cold_start_9k/images/66929.jpg"
] |
[
{
"content": "<image>\nQuestion: How many students are there in the Experimental Elementary School?",
"role": "user"
},
{
"content": "<perception>The image shows two children with speech bubbles. The boy says \"平均每个年级有308人\", which translates to \"On average, each grade has 308 students\". The girl ... | [
"cold_start_9k/images/66953.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function \\( f(x) = \\), for any \\( x \\in [0, 1] \\), it always holds that \\( f(x - a) \\leq f(x) \\) (where \\( a > 0 \\)), then the real number \\( a = \\_\\_\\_\\_\\_\\_\\_\\_\\_ \\).",
"role": "user"
},
{
"content": "<perception>\nThe image shows a ... | [
"cold_start_9k/images/66976.jpg"
] |
[
{
"content": "<image>\nQuestion: Given point \\textit{P} lies on the curve C_{1}: , point \\textit{Q} lies on the curve C_{2}: (\\textit{x}-5)^{2}+\\textit{y}^{2}=1, and point \\textit{R} lies on the curve C_{3}: (\\textit{x}+5)^{2}+\\textit{y}^{2}=1, then the maximum value of | \\textit{PQ} | - | \\textit{PR} ... | [
"cold_start_9k/images/66981.jpg"
] |
[
{
"content": "<image>\nQuestion: To ensure secure information transmission, there is a system called the secret key cryptography system, whose encryption and decryption principles are as follows: . Now the encryption key is \\( y = \\log_{a}(x + 2) \\). As shown above, the plaintext \"6\" is encrypted to obtain... | [
"cold_start_9k/images/66993.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, AC is the bisector of ∠BAD, and CE is the bisector of ∠ACD. How many pairs of equal angles are there in the figure? What are those angles?",
"role": "user"
},
{
"content": "<perception>The image shows a geometric figure with several lines and ... | [
"cold_start_9k/images/66999.jpg"
] |
[
{
"content": "<image>\nQuestion: Point P is on the ellipse , and F_{1} and F_{2} are its left and right foci, respectively. Then the perimeter of triangle △PF_{1}F_{2} is ___ .",
"role": "user"
},
{
"content": "<perception>The image shows the equation of an ellipse: x^2/25 + y^2/16 = 1. The questio... | [
"cold_start_9k/images/67009.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the figure, three numbers, 3, 1, and 8, are written on the circumference. The following operation is called one operation: write the sum of these two adjacent numbers between any two adjacent numbers. Figure 1 to Figure 2 represents the first operation. After the fif... | [
"cold_start_9k/images/67011.jpg"
] |
[
{
"content": "<image>\nQuestion: The function \\( f(x) = \\) is an odd function, then the real number \\( a = \\) .",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = x^2 - 2x + 3, if x > 0\nf(x) = -x^2 + ax - 3, if x < 0\nThe problem stat... | [
"cold_start_9k/images/67013.jpg"
] |
[
{
"content": "<image>\nQuestion: How much more does this nail cost than a gold tack?",
"role": "user"
},
{
"content": "<perception>The image shows a list of items and their prices. The items are: gold tack ($0.02), four-inch nail ($0.06), small metal hook ($0.01), elastic band ($0.01), and red thumb... | [
"cold_start_9k/images/67023.jpg"
] |
[
{
"content": "<image>\nQuestion: (2008 Dalian No. 24 High School) The known maximum value is __________ .",
"role": "user"
},
{
"content": "<perception>The image shows a system of inequalities:\nx - y ≤ 1\nx ≥ 1/2\n2x + y ≤ 4\nand a function z = x - 3y. The question asks for the maximum value of the... | [
"cold_start_9k/images/67029.jpg"
] |
[
{
"content": "<image>\nQuestion: If, then x = (_____ ).",
"role": "user"
},
{
"content": "<perception>The image shows the equation \"sqrt(x) = 5\". It's a mathematical equation where the square root of x is equal to 5. We need to find the value of x. </perception>\n<reasoning>The equation is sqrt(x)... | [
"cold_start_9k/images/67031.jpg"
] |
[
{
"content": "<image>\nQuestion: As shown in the image, the number of \"higher-level\" elements for \"finding the derivative of simple functions\" is ________.",
"role": "user"
},
{
"content": "<perception>The image is a flowchart showing the structure of knowledge about derivatives. It starts with ... | [
"cold_start_9k/images/67038.jpg"
] |
[
{
"content": "<image>\nQuestion: Given the function \\( f(x) = \\), find \\( f[f(-2)] = \\)_",
"role": "user"
},
{
"content": "<perception>The image shows a piecewise function defined as follows:\nf(x) = 2x, if x >= 0\nf(x) = x^2, if x < 0\nThe question asks to find the value of f[f(-2)].</perceptio... | [
"cold_start_9k/images/67047.jpg"
] |
[
{
"content": "<image>\nQuestion: Read the program flowchart as shown in the figure, run the corresponding program, and the output value of n is (_ )",
"role": "user"
},
{
"content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables: S = 1 and ... | [
"cold_start_9k/images/67067.jpg"
] |
[
{
"content": "<image>\nQuestion: How many ice creams can mom buy with the remaining money after buying the cake?",
"role": "user"
},
{
"content": "<perception>The image shows a woman holding a sign that says \"50 yuan\". There is a cake that costs 32 yuan and an ice cream that costs 3 yuan. The ques... | [
"cold_start_9k/images/67104.jpg"
] |
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