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[ { "content": "<image>\nQuestion: For real numbers \\(x\\) and \\(y\\), define a new operation \\(_{}\\), where \\(a\\) and \\(b\\) are constants, and the right-hand side of the equation uses the usual addition and multiplication operations. Given that \\(3 * 5 = 15\\), \\(4 * 7 = 28\\), then \\(1 * 1 = ________...
[ "cold_start_9k/images/67106.jpg" ]
[ { "content": "<image>\nQuestion: A bag contains a(a>12) balls that are different only in color. There are 2 white balls, 4 black balls, 6 red balls, and b yellow balls. By randomly drawing a ball, recording its color, and putting it back into the bag repeatedly, a statistical chart of the probabilities of drawi...
[ "cold_start_9k/images/67108.jpg" ]
[ { "content": "<image>\nQuestion: _=_______", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: (1+tan 12°)(1+tan 22°)(1+tan 23°)(1+tan 33°). The expression consists of a product of four terms, each of the form (1 + tan(angle)), where the angles are 12°, 22°, 23°,...
[ "cold_start_9k/images/67114.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the large \"E\" and small \"E\" are placed on the same table. The measured \\( l_{1} \\) is 3m, \\( l_{2} \\) is 2m, the height of the large \"E\" \\( b_{1} \\) is 30mm. Then the height of the small \"E\" \\( b_{2} \\) is ______ mm.", "role": "user" ...
[ "cold_start_9k/images/67125.jpg" ]
[ { "content": "<image>\nQuestion: How much money does Suzie need to buy two books signed by a famous author, three CDs signed by a famous band, and one program signed by a famous dancer?", "role": "user" }, { "content": "<perception>The image shows a list of signed items and their prices.\n- skate si...
[ "cold_start_9k/images/67156.jpg" ]
[ { "content": "<image>\nQuestion: In the Cartesian coordinate system \\( xoy \\), if the distance from point P on the parabola to the focus of the parabola is 6, then the x-coordinate of point P, \\( x \\)= ________________", "role": "user" }, { "content": "<perception>The image shows the equation o...
[ "cold_start_9k/images/67159.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the diagram, on a railway there are two points A and B (considered as two points on a line) that are 40 kilometers apart. C and D are two villages (considered as two points), AD is perpendicular to AB, BC is perpendicular to AB, and the foot of the perpendiculars are...
[ "cold_start_9k/images/67164.jpg" ]
[ { "content": "<image>\nQuestion: The school prepared 3 cars for the third grade (1) class and (2) class to go on an autumn outing. On average, how many people can sit in each car?", "role": "user" }, { "content": "<perception>The image shows a group of students and teachers preparing to board three ...
[ "cold_start_9k/images/67165.jpg" ]
[ { "content": "<image>\nQuestion: How many boxes of apples did Uncle Zhang's family harvest?", "role": "user" }, { "content": "<perception>The image shows a blue truck and a speech bubble. The speech bubble says: \"It's harvest time, we need to transport all of them. We can transport 30 boxes at a ti...
[ "cold_start_9k/images/67169.jpg" ]
[ { "content": "<image>\nQuestion: How much money does Ian need to buy a broom, a rake, and a hammer?", "role": "user" }, { "content": "<perception>The image shows a list of items and their prices: shovel ($20.00), garden hose ($20.00), rake ($16.00), hammer ($14.00), and broom ($15.00).\n</perception...
[ "cold_start_9k/images/67176.jpg" ]
[ { "content": "<image>\nQuestion: How many cupcakes were sold in total over the 4 days?", "role": "user" }, { "content": "<perception>The image is a table titled \"Cupcakes sold\". The table has two columns: \"Day\" and \"Number of cupcakes\". The rows list the days Sunday, Monday, Tuesday, and Wedne...
[ "cold_start_9k/images/67179.jpg" ]
[ { "content": "<image>\nQuestion: In the flowchart shown in the image, the output result is ________ .", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"Start\". Then, it initializes two variables: a = 5 and s = 1. The flowchart then enters a loop....
[ "cold_start_9k/images/67190.jpg" ]
[ { "content": "<image>\nQuestion: The distance from the focus of the parabola to the directrix is ____________", "role": "user" }, { "content": "<perception>The image shows the equation of a parabola: y^2 = -8x. This is a parabola that opens to the left. The standard form of a parabola opening to th...
[ "cold_start_9k/images/67194.jpg" ]
[ { "content": "<image>\nQuestion: In a barrel of sugar water with a concentration of 80%, adding 80 kilograms of water will make the concentration of this sugar water 40%.", "role": "user" }, { "content": "<perception>The image shows a cartoon character pointing to a speech bubble. The speech bubble ...
[ "cold_start_9k/images/67212.jpg" ]
[ { "content": "<image>\nQuestion: How much more does a bead with green and blue swirls cost than a pink striped glass bead?", "role": "user" }, { "content": "<perception>The image shows a list of beads and their prices. The first item is \"pink striped glass bead\" which costs $0.19. The second item ...
[ "cold_start_9k/images/67216.jpg" ]
[ { "content": "<image>\nQuestion: The maximum value of the function is ___.", "role": "user" }, { "content": "<perception>The image shows a piecewise function defined as follows:\n- y = 4x + 3 when x <= 0\n- y = x + 3 when 0 < x <= 1\n- y = -x + 5 when x > 1</perception>\n<reasoning>We need to find ...
[ "cold_start_9k/images/67221.jpg" ]
[ { "content": "<image>\nQuestion: What is the most frequently occurring number of times Harry had soccer practice each month, based on his calendar?", "role": "user" }, { "content": "<perception>The image is a table titled \"Soccer practice\". The table has two columns: \"Month\" and \"Number of prac...
[ "cold_start_9k/images/67237.jpg" ]
[ { "content": "<image>\nQuestion: Read the program flowchart as shown in the figure, run the corresponding program, and the output value of i is equal to ___.", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program starts by initializing S to 0 and i to 1....
[ "cold_start_9k/images/67242.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the picture, the floor of the room needs to be tiled with square tiles. What should be the side length of the tiles in decimeters to ensure that the tiling is neat and economical? What is the maximum side length of the tiles in decimeters needed?", "role": "user"...
[ "cold_start_9k/images/67262.jpg" ]
[ { "content": "<image>\nQuestion: Someone's commuting times to work over 5 days (unit: minutes) are {}. If the average of this data set is 10, then the variance is ____ ▲___ .", "role": "user" }, { "content": "<perception>The image shows a list of numbers separated by commas: x, 8, 10, 11, 9. This re...
[ "cold_start_9k/images/67263.jpg" ]
[ { "content": "<image>\nQuestion: If the photography club gains 10 new members, how many members will it have?", "role": "user" }, { "content": "<perception>The image is a table titled \"Club membership\". The table has two columns: \"Club\" and \"Number of members\". The rows list the following club...
[ "cold_start_9k/images/67268.jpg" ]
[ { "content": "<image>\nQuestion: Look at the image, form an equation, and find the value of x.\nThe perimeter of the rectangle is 9 cm.", "role": "user" }, { "content": "<perception>The image shows a rectangle. The length of the rectangle is labeled as 3 cm and the width is labeled as x cm. The peri...
[ "cold_start_9k/images/67274.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the length of the rectangle is 7 and the width is 5. 400 soybeans are randomly scattered inside the rectangle, and 96 soybeans are counted to have fallen outside the ellipse. Based on this experimental data, the estimated area of the ellipse is approximat...
[ "cold_start_9k/images/67301.jpg" ]
[ { "content": "<image>\nQuestion: Using the small rhombuses shown in Image ① to form a large rhombus, if the longer diagonal of the formed large rhombus is 88 cm (as shown in Image ②), the number of small rhombuses needed is ______.", "role": "user" }, { "content": "<perception>The image shows two fi...
[ "cold_start_9k/images/67313.jpg" ]
[ { "content": "<image>\nQuestion: The area of the plane region represented by the inequality is __________", "role": "user" }, { "content": "<perception>The image shows the inequality |x-1| + |y-2| <= 1. This represents a region in the xy-plane. The absolute value terms suggest that the region will ...
[ "cold_start_9k/images/67324.jpg" ]
[ { "content": "<image>\nQuestion: From , randomly select any three numbers to form a three-digit number without repeating digits. The number of even numbers is _______ (answer with a number).", "role": "user" }, { "content": "<perception>The image shows the digits 0, 1, 2, and 3. The task is to form ...
[ "cold_start_9k/images/67328.jpg" ]
[ { "content": "<image>\nQuestion: The output of the program shown in the right diagram is __________.", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by initializing x to 3 and y to 1. Then, it enters a loop that continues as long as x is les...
[ "cold_start_9k/images/67329.jpg" ]
[ { "content": "<image>\nQuestion: Mingming used bricks to measure the length of a bookshelf. Each brick is 9 centimeters long. He placed 7 bricks on the bookshelf and found that there were still 2 centimeters left to one side of the bookshelf. What is the approximate length of the bookshelf?", "role": "user"...
[ "cold_start_9k/images/67331.jpg" ]
[ { "content": "<image>\nQuestion: Given the program flowchart shown in the image, what is the output number?", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables: k = 1 and s = 0. Then, it enters a loop. Inside the...
[ "cold_start_9k/images/67337.jpg" ]
[ { "content": "<image>\nQuestion: To lay the lawn as shown in the image: 20 yuan per square meter, how much will it cost in total to lay this lawn? π = 3", "role": "user" }, { "content": "<perception>The image shows a shape composed of a rectangle and two semi-circles on either end. The length of the...
[ "cold_start_9k/images/67342.jpg" ]
[ { "content": "<image>\nQuestion: How many years older is grandpa than Xiao Ming?", "role": "user" }, { "content": "<perception>The image shows a cartoon of a grandpa and a boy named Xiao Ming. The grandpa is saying \"My age is 6 times yours.\" Xiao Ming is saying \"I am 11 years old this year.\"</pe...
[ "cold_start_9k/images/67349.jpg" ]
[ { "content": "<image>\nQuestion: What is the total amount of money Zoe needs to purchase a pearl bead, an orange glass bead, and a shiny red bead?", "role": "user" }, { "content": "<perception>The image shows a list of beads and their prices. The list includes: orange glass bead ($0.08), shiny red b...
[ "cold_start_9k/images/67351.jpg" ]
[ { "content": "<image>\nQuestion: The program flowchart is shown in the figure, what will be the value of S after the program runs?", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with initializing i=5 and s=1. Then, it enters a loop. Inside the loop, i...
[ "cold_start_9k/images/67364.jpg" ]
[ { "content": "<image>\nQuestion: If \\(a > 0\\), \\(b > 0\\), and the function has an extremum at \\(x = 1\\), then the maximum value of \\(ab\\) is __ .", "role": "user" }, { "content": "<perception>The image shows the function f(x) = 4x^3 - ax^2 - bx - 2. The problem states that a > 0, b > 0, and...
[ "cold_start_9k/images/67385.jpg" ]
[ { "content": "<image>\nQuestion: What is the sum of percentages for the reason 'There are more new infections, not just more tests' across all categories?", "role": "user" }, { "content": "<perception>The image is a bar graph from the Pew Research Center, displaying survey results about the primary ...
[ "cold_start_9k/images/67389.jpg" ]
[ { "content": "<image>\nQuestion: During the \"60th National Day\" period, a certain organization arranged for its employees to visit Beijing for sightseeing. To attract citizens to group tours to scenic spots in Beijing, Chunqiu Travel Agency offered the following pricing standards:\n\nThe organization paid Chu...
[ "cold_start_9k/images/67406.jpg" ]
[ { "content": "<image>\nQuestion: (1) ; \n(2) \\((2x^{3}y)^{2} \\cdot (-2xy) + (-2x^{3}y)^{3} \\div (2x^{2})\\)", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: (-1)^2012 + (-1/2)^-2 - (3.14 - π)^0.\n</perception> <reasoning>The question asks to evaluate the ex...
[ "cold_start_9k/images/67411.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, a rectangular piece of paper ABCD with a length of 70 cm is folded twice along the axis of symmetry EF, and the distance between AB and CD becomes 60 cm after folding. What is the original width of the paper? ____ cm.", "role": "user" }, { "co...
[ "cold_start_9k/images/67414.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the output of the program after execution is ______.", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by initializing two variables: P to 0 and I to 1. Then, it enters a loop. Inside th...
[ "cold_start_9k/images/67456.jpg" ]
[ { "content": "<image>\nQuestion: Xinxin's home is 960 meters away from the school. She goes home for lunch at noon. How far does she need to walk each day from going to school in the morning until returning home in the evening?", "role": "user" }, { "content": "<perception>The image shows Xinxin's h...
[ "cold_start_9k/images/67464.jpg" ]
[ { "content": "<image>\nQuestion: The domain of the function \\( y = f(x) \\) is \\( (a,b) \\). The graph of \\( y = f'(x) \\) in the interval \\( (a,b) \\) is shown in the figure. Then the number of local maxima points of \\( y = f(x) \\) in the interval \\( (a,b) \\) is ____.", "role": "user" }, { ...
[ "cold_start_9k/images/67472.jpg" ]
[ { "content": "<image>\nQuestion: Execute the program shown in the image. The output result is ______ .", "role": "user" }, { "content": "<perception>The image shows a program written in a BASIC-like language. The program initializes two variables, i and S, to 1 and 0 respectively. It then enters a W...
[ "cold_start_9k/images/67475.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, in right triangle $$Rt\\triangle ABC$$, $$∠B=90^{\\circ}$$, $$AB=9$$, $$BC=6$$. Fold $$\\triangle ABC$$ so that point $$A$$ coincides with the midpoint $$D$$ of $$BC$$. The fold line is $$MN$$. Then the length of segment $$BN$$ is ________.", "role": ...
[ "cold_start_9k/images/67481.jpg" ]
[ { "content": "<image>\nQuestion: (2012 Autumn • Beijing Monthly Exam) A rectangular piece of cardboard has strips of 2.5 cm wide cut from its length and width. The area is reduced by 28 square centimeters compared to the original area. The original perimeter of the cardboard is ____ centimeters.", "role": "...
[ "cold_start_9k/images/67494.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, two squares with side length of 4 centimeters are combined to form a rectangle. The perimeter of this rectangle is ____ centimeters.", "role": "user" }, { "content": "<perception>The image shows a rectangle composed of two adjacent squares. Ea...
[ "cold_start_9k/images/67498.jpg" ]
[ { "content": "<image>\nQuestion: Suppose the following statistics about the service life of a certain device $$x$$ and the maintenance cost $$y$$ ($$Ten thousand yuan$$): Given that $$y$$ has a linear correlation with $$x$$, and the linear regression equation is $$y=a+bx$$, with $$b=1.23$$ known. Please estimat...
[ "cold_start_9k/images/67502.jpg" ]
[ { "content": "<image>\nQuestion: Given that x + y = 7, and x > y, the value of x - y is (____ )", "role": "user" }, { "content": "<perception>The image shows the equation x^2 + y^2 = 25. This equation represents a circle centered at the origin (0,0) with a radius of 5. We are also given that x + y =...
[ "cold_start_9k/images/67520.jpg" ]
[ { "content": "<image>\nQuestion: (2002 • Shanghai school-level independent admission) A rectangular vegetable plot is divided into three sections as shown in the figure. It is known that the second section is 10 meters wider than the first section and has an area of 1000 square meters; the third section is 4 me...
[ "cold_start_9k/images/67521.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the line PA passes through the center O of the semicircle and intersects the semicircle at points A and B. PC is tangent to the semicircle at point C. Given that PC = 3 and PB = 1, find the radius of the semicircle _____.", "role": "user" }, { ...
[ "cold_start_9k/images/67535.jpg" ]
[ { "content": "<image>\nQuestion: Count the apples. (First circle 10, then count them.)\n\nThere are a total of (___).", "role": "user" }, { "content": "<perception>The image shows a collection of apples arranged in a somewhat rectangular pattern. There are three rows of apples. The top row has four ...
[ "cold_start_9k/images/67543.jpg" ]
[ { "content": "<image>\nQuestion: (2015 Spring • Weifang Midterm Exam) As shown in the figure, a system M is constituted by connecting four different components A, B, C, and D. The system M works normally when at least one of components A and B works normally, and at least one of components C and D works normall...
[ "cold_start_9k/images/67557.jpg" ]
[ { "content": "<image>\nQuestion: There are two flower beds (as shown in the image). The perimeter of the rectangular flower bed is 64 meters, and the perimeter of the square flower bed is 8 meters more than the perimeter of the rectangular flower bed. What is the side length of the square flower bed?", "rol...
[ "cold_start_9k/images/67590.jpg" ]
[ { "content": "<image>\nQuestion: How many more cans of food did the top collector gather compared to the lowest collector?", "role": "user" }, { "content": "<perception>The image is a table titled \"Cans of food collected\". The table has two columns: \"Name\" and \"Number of cans of food\". The row...
[ "cold_start_9k/images/67593.jpg" ]
[ { "content": "<image>\nQuestion: Each basket contains 32 kilograms of apples. How many kilograms of apples are there in total?", "role": "user" }, { "content": "<perception>The image shows three baskets filled with red apples. Each basket appears to be full to the brim with apples. The baskets are m...
[ "cold_start_9k/images/67615.jpg" ]
[ { "content": "<image>\nQuestion: On a map with a scale of , the measured distance from Taizhou to Nanjing is 5.4 centimeters. The actual distance from Taizhou to Nanjing is ____ kilometers.", "role": "user" }, { "content": "<perception>The image shows a scale bar. The scale bar is labeled with 0, 30...
[ "cold_start_9k/images/67625.jpg" ]
[ { "content": "<image>\nQuestion: When does the percentage of people who prefer democracy reach the peak?", "role": "user" }, { "content": "<perception>The image is a line graph titled \"Support for Democracy Declines in Tunisia\". The graph shows the trend of opinions on democracy from 2012 to 2014....
[ "cold_start_9k/images/67646.jpg" ]
[ { "content": "<image>\nQuestion: Given that the random variable X follows a normal distribution =____ .", "role": "user" }, { "content": "<perception>The image shows a mathematical expression related to normal distribution. It states that X follows a normal distribution N(0, δ²), and the probability...
[ "cold_start_9k/images/67652.jpg" ]
[ { "content": "<image>\nQuestion: To form 1 triangle, 3 small sticks are needed. To form 2 triangles, 5 small sticks are needed. To form 3 triangles, 7 small sticks are needed (as shown in the image). Following this pattern, how many small sticks are needed to form 20 triangles?", "role": "user" }, { ...
[ "cold_start_9k/images/67661.jpg" ]
[ { "content": "<image>\nQuestion: The blacksmith received five pieces of chain, each with three links (as shown in the diagram). To form a single chain, how many links do you think need to be opened at a minimum? (Write only the answer, no need to show the steps)", "role": "user" }, { "content": "<pe...
[ "cold_start_9k/images/67666.jpg" ]
[ { "content": "<image>\nQuestion: Given variables \\( x \\) and \\( y \\) satisfying the constraint (where \\( a > 1 \\)). If the maximum value of the objective function \\( z = x + y \\) is 4, then the value of \\( a \\) is _______ .", "role": "user" }, { "content": "<perception>The image shows a s...
[ "cold_start_9k/images/67667.jpg" ]
[ { "content": "<image>\nQuestion: Given the sets U = {1, 2, 3, 4}, M = {1, 2}, and N = {2, 3}, then = ________.", "role": "user" }, { "content": "<perception>The image shows the expression \"C_U(M ∪ N)\". This represents the complement of the union of sets M and N with respect to the universal set U...
[ "cold_start_9k/images/67687.jpg" ]
[ { "content": "<image>\nQuestion: A truck travels from City A to City B at a speed of 60 kilometers per hour, for a duration of 12 hours. On the return trip, due to an increase in speed, it took 2 fewer hours. The speed on the return trip was ____ kilometers per hour.", "role": "user" }, { "content":...
[ "cold_start_9k/images/67688.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of contestants from Argentina and Brazil combined?", "role": "user" }, { "content": "<perception>The image is a table showing the number of contestants from Argentina and Brazil at two different point levels, 80 points and 85 points. The tabl...
[ "cold_start_9k/images/67692.jpg" ]
[ { "content": "<image>\nQuestion: If the value of the fraction is 0, then the value of x is ___.", "role": "user" }, { "content": "<perception>The image shows a fraction. The numerator is x squared plus x. The denominator is x squared minus 1.</perception>\n<reasoning>The fraction is $\\frac{x^2+x}{...
[ "cold_start_9k/images/67696.jpg" ]
[ { "content": "<image>\nQuestion: A certain city plans to renovate its old urban area. Based on the development situation from 2001 to 2003, bar charts were made showing the number of real estate development companies and the average building area per real estate development company for each year. Using the info...
[ "cold_start_9k/images/67711.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the three-view diagram of a certain solid, the volume of the solid is _ ▲ _", "role": "user" }, { "content": "<perception>The image shows the three-view diagram of a solid. The front view is a trapezoid with a lower base of 2 and a height of 2. The side v...
[ "cold_start_9k/images/67714.jpg" ]
[ { "content": "<image>\nQuestion: (2014 Autumn • Saihan District School-Level Midterm Exam) As shown in the figure, if point A is moved 20 units to the right, and then 15 units to the left, the number represented by this point is ____.", "role": "user" }, { "content": "<perception>The image shows a n...
[ "cold_start_9k/images/67724.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of cups of lemonade sold by Doug over the past 6 days?", "role": "user" }, { "content": "<perception>The image is a table titled \"Cups of lemonade sold\". The table has two columns: \"Day\" and \"Number of cups\". The rows represent the days...
[ "cold_start_9k/images/67725.jpg" ]
[ { "content": "<image>\nQuestion: [Question] . ________.", "role": "user" }, { "content": "<perception>The image shows a mathematical expression: (-6) x (-2) + |-5|. It involves multiplication of two negative numbers and addition of the absolute value of a negative number. </perception> <reasoning>Th...
[ "cold_start_9k/images/67732.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, given that OD bisects ∠AOC, ∠AOB = 3∠COD, and ∠BOC = 4∠AOD, then the measure of ∠AOB is ____.", "role": "user" }, { "content": "<perception>The image shows a diagram with several rays emanating from a point O. The rays are labeled OA, OB, OC, ...
[ "cold_start_9k/images/67738.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, the number of shaded triangles accounts for ____% of the total number.", "role": "user" }, { "content": "<perception>The image shows an oval shape containing several triangles. Some triangles are shaded black, and some are white. There are 6 b...
[ "cold_start_9k/images/67744.jpg" ]
[ { "content": "<image>\nQuestion: Making lanterns.\n\n(1) How many fewer lanterns did Fangfang make compared to Dongdong? __\n(2) Can you come up with other questions? Give it a try.", "role": "user" }, { "content": "<perception>The image shows three children, Fangfang, Dongdong, and Pingping, sittin...
[ "cold_start_9k/images/67751.jpg" ]
[ { "content": "<image>\nQuestion: The output result in the program flowchart is ___ .", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts with initializing two variables, P to 0 and i to 2. Then, there is a loop. Inside the loop, P is updated by ...
[ "cold_start_9k/images/67752.jpg" ]
[ { "content": "<image>\nQuestion: (2011 Autumn • Yanping District Final Exam) As shown in the , in the right triangle ABC, ∠B=90°, D is a point on the extension of side BC, and CD=CA, ∠ADC=15°. If AB=3cm, then CD=____cm.", "role": "user" }, { "content": "<perception>The image shows a right triangle A...
[ "cold_start_9k/images/67755.jpg" ]
[ { "content": "<image>\nQuestion: The length of one diagonal of rhombus ABCD is 6, and the length of side AB is a root of the equation . Then the perimeter of rhombus ABCD is ________.", "role": "user" }, { "content": "<perception>The image shows the quadratic equation x^2 - 7x + 12 = 0. We need to f...
[ "cold_start_9k/images/67758.jpg" ]
[ { "content": "<image>\nQuestion: Find the area of the shaded region. (Unit: cm)", "role": "user" }, { "content": "<perception>The image shows a rectangle with dimensions 5 and 2.4, and a shaded parallelogram. The parallelogram shares the height of the rectangle, which is 5. The base of the parallelo...
[ "cold_start_9k/images/67771.jpg" ]
[ { "content": "<image>\nQuestion: Below is a simple numerical operation program. When the input value $$x$$ is $$-3$$, the output value is ______.", "role": "user" }, { "content": "<perception>The image shows a flowchart representing a numerical operation program. The program takes an input value 'x'...
[ "cold_start_9k/images/67783.jpg" ]
[ { "content": "<image>\nQuestion: (2023·Shangluo Simulation) Execute the flowchart shown in the figure, and the output $$ n= $$ (__)", "role": "user" }, { "content": "<perception>The image shows a flowchart. The flowchart starts with \"开始\" (Start). Then, it initializes two variables: n = 1 and S = 0...
[ "cold_start_9k/images/67799.jpg" ]
[ { "content": "<image>\nQuestion: Arrange the given 25 numbers into a number table as shown in the right image, with 5 numbers per row in an arithmetic sequence from left to right, and the 5 numbers in each column in an arithmetic sequence from top to bottom. Given that the number in the exact middle of the tabl...
[ "cold_start_9k/images/67811.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the diagram, on a rectangular ground with a length of 12 meters and a width of 8 meters, two perpendicular roads of equal width are to be built (each road parallel to one side of the rectangle). The remaining area is to be planted with flowers and grass, and this rem...
[ "cold_start_9k/images/67817.jpg" ]
[ { "content": "<image>\nQuestion: Given \\( a \\) and \\( b \\) satisfy ._", "role": "user" }, { "content": "<perception>The image shows the equation |a+3| + √(b-2) = 0, followed by \"则ab = _\". This indicates that we need to find the value of ab given the equation. Since the absolute value and the s...
[ "cold_start_9k/images/67818.jpg" ]
[ { "content": "<image>\nQuestion: A total of 698 students from the third grade went on a trip. The school rented 19 buses. How many empty seats are left?", "role": "user" }, { "content": "<perception>The image shows a blue bus with a driver and several passengers. A sign on the bus reads \"限乘 37 人\",...
[ "cold_start_9k/images/67823.jpg" ]
[ { "content": "<image>\nQuestion: The value of the arithmetic sequence is ______________.", "role": "user" }, { "content": "<perception>The image shows a mathematical expression. It states that in the sequence {a_n}, a_2 + a_8 = 10. It then asks for the value of S_9, which represents the sum of the ...
[ "cold_start_9k/images/67825.jpg" ]
[ { "content": "<image>\nQuestion: How many players won exactly 2 matches last summer?", "role": "user" }, { "content": "<perception>The image is a table titled \"Tennis matches won last summer\". The table has two columns: \"Tennis matches won\" and \"Frequency\". The rows show the number of tennis m...
[ "cold_start_9k/images/67850.jpg" ]
[ { "content": "<image>\nQuestion: As shown in the figure, points are taken sequentially on the two sides of ∠MON such that DE = CD = BC = AB = OA. If ∠MON = 20°, then ∠NDE = ____.", "role": "user" }, { "content": "<perception>The image shows an angle ∠MON. Points A, B, C, E are on ray OM, and points ...
[ "cold_start_9k/images/67858.jpg" ]
[ { "content": "<image>\nQuestion: If the function \\( y = (1-m) + 2 \\) is a quadratic function with respect to \\( x \\), and the parabola opens upwards, then the value of \\( m \\) is ___.", "role": "user" }, { "content": "<perception>The image shows the expression \"x^(m^2 - 2)\". This expression...
[ "cold_start_9k/images/67868.jpg" ]
[ { "content": "<image>\nQuestion: How many student rulers is the length of a meter stick equivalent to?", "role": "user" }, { "content": "<perception>The image shows two rulers. The top ruler is labeled \"学生尺\" (student ruler) and has a length of 20 centimeters. The bottom ruler is labeled \"米尺\" (me...
[ "cold_start_9k/images/67896.jpg" ]
[ { "content": "<image>\nQuestion: When \\( x = 1 \\), the fraction is undefined. When \\( x = 4 \\), the fraction's value is zero. Then \\( m + n = \\) ___ .", "role": "user" }, { "content": "<perception>The image shows a fraction. The numerator is x + 2m and the denominator is x - n.</perception>\n...
[ "cold_start_9k/images/67909.jpg" ]
[ { "content": "<image>\nQuestion: What is the total number of employees in all companies combined?", "role": "user" }, { "content": "<perception>The image is a table titled \"Company sizes\". The table has two columns: \"Company\" and \"Number of employees\". The companies listed are Country Bakery, ...
[ "cold_start_9k/images/67914.jpg" ]
[ { "content": "<image>\nQuestion: Execute the program flowchart as shown in the image, and the output value of y is ________.", "role": "user" }, { "content": "<perception>The image shows a flowchart of a program. The program starts by initializing x to 16. Then, it enters a loop. Inside the loop, it...
[ "cold_start_9k/images/67921.jpg" ]
[ { "content": "<image>\nQuestion: Lingling has a rectangular fish tank with a length of 80 cm, a width of 50 cm, and a height of 60 cm. Initially, there was some water in the tank (as shown in Image 1). After placing 4 identical decorative balls into the tank (as shown in Image 2), the water level rose by 2 cm. ...
[ "cold_start_9k/images/67922.jpg" ]
[ { "content": "<image>\nQuestion: The diagram shows the flowchart of an algorithm. The value of the output \\( k \\) is ______.", "role": "user" }, { "content": "<perception>The image shows a flowchart of an algorithm. The algorithm starts with initializing k to 1. Then, k is updated to k+1. A condit...
[ "cold_start_9k/images/67925.jpg" ]
[ { "content": "<image>\nQuestion: What is the total amount of money Jayla needs to purchase 5 orders of pasta with meat sauce and 3 orders of pasta with mushrooms?", "role": "user" }, { "content": "<perception>The image shows a menu with prices for different pasta dishes. \"pasta with meat sauce\" co...
[ "cold_start_9k/images/67926.jpg" ]
[ { "content": "<image>\nQuestion: What is the total cost for 3/4 of a kilogram of agave syrup?", "role": "user" }, { "content": "<perception>The image is a table showing the prices of different types of sweeteners per kilogram. The table lists powdered sugar at $3 per kg, dark brown sugar at $2 per k...
[ "cold_start_9k/images/67945.jpg" ]
[ { "content": "<image>\nQuestion: In order to facilitate tourists visiting a certain scenic area, each attraction is equipped with two pathways, namely a staircase and an accessible pathway. As shown in the figure, at a certain attraction point \\( P \\), the staircase for tourists has an inclination angle of \...
[ "cold_start_9k/images/67959.jpg" ]
[ { "content": "<image>\nQuestion: What is the average percentage of adults who think that 'Increased use of contract or temp employees' and 'Decline of union membership' hurt American workers?", "role": "user" }, { "content": "<perception>The image is a bar graph from the Pew Research Center, titled ...
[ "cold_start_9k/images/67961.jpg" ]
[ { "content": "<image>\nQuestion: Suning Appliance's New Year's promotion increases the cost price of a certain brand of television by 40%, and then advertises \"New Year's Grand Promotion, 20% Discount\". As a result, each television still makes a profit of 270 yuan. What is the cost price of each television?",...
[ "cold_start_9k/images/67980.jpg" ]
[ { "content": "<image>\nQuestion: Read the flowchart as shown in the figure, run the corresponding program, the output value of S is ____.", "role": "user" }, { "content": "<perception>The image shows a flowchart for a program. The program starts with initializing two variables: S = 0 and n = 3. Then...
[ "cold_start_9k/images/67982.jpg" ]
[ { "content": "<image>\nQuestion: Distribute a pile of candies to 6 children, each receiving 7 pieces with 2 pieces left. Add ______ pieces, so each child can receive 1 more piece.", "role": "user" }, { "content": "<perception>The image shows a jar full of colorful candies. The jar is tied with a pin...
[ "cold_start_9k/images/67985.jpg" ]
[ { "content": "<image>\nQuestion: Given that =__ ___ __________._", "role": "user" }, { "content": "<perception>The image shows a mathematical expression. The expression is f(x) = x^2 + 3xf'(2). The question asks to find the value of f'(2). </perception>\n<reasoning>Let's analyze the given equation: ...
[ "cold_start_9k/images/67992.jpg" ]