images
images listlengths
1
1
problem
stringlengths
7
3.71k
answer
stringlengths
1
37
<image>Read the program in the image, the output i=____.
4
<image> In complex plane, the point corresponding to the complex number is located in the ____ ▲__ __ quadrant. (Xuzhou City Quality Inspection 2008)
First
<image>Mr Hofer has drawn a picture of flowers on the inside of a display window (large picture). What do these flowers look like when you look at the picture from the outside? A. A B. B C. C D. D E. E
E. E
<image> Mom bought some cotton fabric, used 0.8 meters to make aprons, and has some fabric left. Is there more fabric used for making aprons or more fabric left?
More remaining cloth
<image>If \( y = (m^{2} + m) \)\( + (m - 2)x + m^{2} - 4 \) is a quadratic function, find the value of \( m \).
2
<image>Among the following 4 patterns, the number of patterns that are both rotationally symmetric and reflectionally symmetric is ______.
1
<image>What number is shown?
4
<image>The scale of a map is . Thus, the distance on the map ____ represents ____. Converting it to a numerical scale, it is ____.
1:4000000
<image>_is actually the distance of 1cm in the image, representing the actual (__ __)m. Rewriting it as a numerical scale would be (____).
600;1:60000
<image>Hint: Please answer the question and provide the final answer at the end. Question: If you add 2 tiny rubber blocks, how many tiny rubber blocks remain?
3
<image>Execute the program flow chart as shown in the image, the output value of $$S$$ is ______
4
<image>Ronja had four white tokens and Wanja had four grey tokens. They played a game in which they took turns to place one of their tokens to create two piles. Ronja placed her first token first. Which pair of piles could they not create? A. A B. B C. C D. D E. E
E. E
<image> (2012 Autumn • Jiulongpo District School Monthly Exam) As shown in the figure, a circle with a diameter of 1 unit rolls to the right along the number line for 2012 revolutions. A point on the circle moves from the origin O to the point O′. Then the real number corresponding to the point O′ is ____.
2012π
<image>If the function \( f(x) = x^3 - \), and the zero point \( x_0 \in (n, n+1) \) ( \( n \in \mathbb{Z} \) ), then \( n = \_________ \).
1
<image>(Shandong) Execute the flowchart on the right, if \textit{p}=0.8, then the output \textit{n}=____.
4
<image>Read the program on the right, output i=____.
4
<image>If the area of the ABC sector is 189.97, the perimeter of the BDEC parallelogram is 52 and the area of the FBD sector is 25.12, compute the degree of the CBA angle. Assume $\pi=3.14$. Round computations to 2 decimal places.
93.6
<image>(2012 • Beijing) Execute the program flowchart as shown in the figure, the output value of S is (__ )
8
<image>As shown in the diagram, $$AD$$ is the angle bisector of the external angle $$∠CAE$$ of $$\triangle ABC$$, $$∠B=35^{\circ}$$, and $$∠DAE=60^{\circ}$$. Find the measure of $$∠C$$.
85
<image>$$(1)$$ Calculate: $$-3 + (-4) =$$ __________. $$(2)$$ Given a sequence $$2$$, $$4$$, $$8$$, $$16$$, $$\ldots$$, following this pattern, the $$n$$-th term is __________. $$(3)$$ Given that $${2}{a}^{2}{b}^{m}$$ and $${7}{a}^{n}{b}^{5}$$ are like terms, then $$m+n=$$ __________. $$(4)$$ As shown in the figure, given that line $$AB$$ and line $$CD$$ intersect at point $$O$$, and $$OA$$ bisects $$∠COE$$, if $$∠DOE = 70^{\circ}$$, then $$∠BOD =$$ __________.
-7
<image>In the complex plane, the point corresponding to the conjugate of the complex number (where \(i\) is the imaginary unit) is located in the __________ quadrant.
Fourth quadrant
<image>The algorithm structure shown in the figure is ___ structure.
sequence
<image>Execute the flowchart as shown in the figure, and the output T = _________ ._
20
<image>In the flowchart shown in the diagram, the output result is ___.
120
<image>In a certain program flowchart as shown in the figure, when the input is 50, the output result after the program operation is ____.
6
<image>As shown in the (2013•Jiangnan District School-level Mock Test), in the quadrilateral ABCD with a perimeter of 30cm, AB is ____cm.
15
<image> As shown in the program flow chart, when the input value of x is 3, the output result is ______. ```
1
<image> Each face of a certain cube has a Chinese character. The following image shows one of its net diagrams. Determine the Chinese character on the face opposite to the face with the character “我” ('wo', which means 'I'). The character is ______.
<image>(___ ) is the highest.
3
<image>Move the ruler to measure the length of the nail to the nearest inch. The nail is about (_) inches long.
2 inches
<image>As shown in the figure, $$f(x)=1+\sin x$$, then the area of the shaded region is ______.
π + 2
<image> gets up earlier than (__ ).
Xiaogang
<image>Please represent the Light of Civilization with coordinates.
(4,7)
<image>This picture shows you Anna's house from the front: At the back it has three windows but no door. Which picture shows Anna's house from the back? A. A B. B C. C D. D E. E
E. E
<image>Formulate the calculation (1) (2) A number is 9 less than 5 times 38. What is this number?
145
<image>The diagram on the right is a flowchart of an algorithm. The output result is ______ ▲______.
7
<image>If the ABCDE shape is a rectangle where an equilateral triangle has been removed from one side of it, the perimeter of the ABCDE shape is 90, the perimeter of the BFGC rectangle is 56, the BFHI shape is a combination of a rectangle and a semi-circle and the area of the BFHI shape is 84, compute the length of the AB side of the ABCDE shape. Assume $\pi=3.14$. Round computations to 2 decimal places.
20.48
<image>Below is a line chart recording a patient's body temperature over a period of time. (1) The patient's body temperature was measured every _____ hours. (2) The difference between the patient's highest and lowest body temperatures is _____ ℃. (3) From 12:00 to 16:00, the patient's body temperature increased by _____ ℃. (4) From 16:00 to 20:00, the patient's body temperature decreased by _____ ℃. (5) During which period was the patient's body temperature consistently decreasing?
4
<image>Grandma's watch has an hour, minute and second hand. We don't know which hand does which job, but we know that the watch tells the correct time. At 12:55:30 hours the watch looked as pictured. How will the watch look at 8:11:00 hours? A. A B. B C. C D. D E. E
E. E
<image> Execute the flowchart as shown in the image, and output S=___.
20
<image>Which part of the house is missing? A. A B. B C. C D. D E. E
E. E
<image>In the following image, identify the figure that is different from the others.
3 \text{ \&
<image>The flowchart of a certain program is shown in the figure. The output S = (____).
26
<image>There are 3 parts, one of which is defective and slightly heavier. Based on the weighing process shown in the image, part number ____ is definitely defective.
2
<image>Which of the tiles below is NOT part of the wall next door? A. A B. B C. C D. D E. E
E. E
<image>As shown in the figure, in the plane Cartesian coordinate system, the vertices of the isosceles trapezoid ABCD have coordinates A(1,1), B(2,-1), C(-2,-1), and D(-1,1). Using A as the center of symmetry, reflect point P(0,2) to get its image P_{1}; using B as the center of symmetry, reflect point P_{1} to get its image P_{2}; using C as the center of symmetry, reflect point P_{2} to get its image P_{3}; using D as the center of symmetry, reflect point P_{3} to get its image P_{4}; using A as the center of symmetry, reflect point P_{4} to get its image P_{5}; and so on. Find the coordinates of point P_{1} and point P_{2010}.
(2,-2)
<image>Use paper clips to measure the line. The line is about (_) paper clips long.
3
<image>The program flowchart is shown in the figure. If the result is output exactly after 6 cycles, then a = ______ .
2
<image>ABCD is geometrically a square. HGIJ is geometrically a square. Can you tell me the length of IG in shape HGIJ?
6
<image>As shown in the figure, quadrilateral $$ABCD$$ is an inscribed quadrilateral in circle $$⊙O$$. If $$∠B=130^{\circ}$$, then $$∠AOC=$$________$${\,\!}^{\circ}$$.
100
<image>In a lottery there are 48 numbers, numbered from , each draw reveals one number, if you pick the winning number you win the prize. Xiao Ming's parents are arguing about the lottery, and Xiao Ming also joined the discussion, their correct opinion is____________________(___)\frac{} Choices:
\frac{1
<image>Crossing the River
7
<image> 0 ÷ (-) = (___ ).
0
<image>In the 2009 CCTV Chinese New Year's Gala, the skit "No Problem" starring Zhao Benshan, Xiao Shenyang, and others received unanimous praise. The online voting rate also increased steadily, from 25% on the first day to 50% on the third day. What is the average daily growth rate ___ %? (Keep two significant figures, ≈ 1.4142)
41\%
<image>As shown in the figure, the parabola $$y = ax^2 + bx + c (a \neq 0)$$ passes through the origin and the point $$(-2,0)$$, then $$2a - 3b$$ ________ $$($$choose "$$>$$", "$$<$$" or "$$=$$"$$) 0$$.
>
<image>Add 8 yellow balls. How many yellow balls are left?
9
<image>Execute the pseudocode shown in the image. The final output value of S is ______.
14
<image>The output of the program flowchart shown in the image is __________
8
<image>Use paper clips to measure the line. The line is about (_) paper clips long.
2
<image>(Spring 2009, Jiāxīng Final Exam) Fill in the appropriate units of volume or capacity in the blanks. The capacity of the rice cooker is about 4.5____ The volume of the pencil case is about 400____.
liters, cubic centimeters
<image>Move the ruler to measure the length of the nail to the nearest inch. The nail is about (_) inches long.
2 inches
<image>According to the pseudocode shown in the image, the output value of S is ___.
21
<image><image1> In the picture above five ladybirds can be seen. Each one is sitting on a certain flower. A ladybird is only allowed to sit on a flower if the following conditions are met: 1) The difference between the number of points on each wing is equal to the number of leaves on the stem. 2) The number of points on the wings of the ladybird is equal to the number of petals on the flower. Which of the following flowers is without a ladybird? A. A B. B C. C D. D E. E
E. E
<image>Around the year 263 AD, the Chinese mathematician Liu Hui discovered that as the number of sides of a polygon inscribed in a circle increases infinitely, the area of the polygon can approximate the area of the circle arbitrarily closely. He established the "method of exhaustion." Using this method, Liu Hui obtained an approximate value of $$ \pi $$ accurate to two decimal places, which is 3.14, known as the "Hui's ratio." As shown in the program flowchart that uses Liu Hui's "method of exhaustion" concept, the output value of \textit{$$ n $$} is ______. ($$ Reference data: $$ \textit{$$\sin $$} $$15^{\circ} = 0.2588$$, \textit{$$\sin $$} $$7.5^{\circ} = 0.1305 $$)
24
<image>If , the value of the real number k is ________.
-1
<image>ABC is identified as a sector. CBDE conforms a parallelogram. EDFG forms a square. FDHI conforms a square. How do you measure the perimeter of FDHI?
8
<image>_________________________
-1
<image>The Shanghai World Expo 2010 site opens daily at 9:00 AM and stops admitting visitors at 8:00 PM. In the flowchart on the right, S represents the total number of visitors admitted as reported by the official Shanghai World Expo website at each hour, and a represents the number of visitors admitted in the hour preceding the report. The blank execution box should be filled with ___
S=S+a
<image> Draw a "√" under the larger one and a "△" under the smaller one. __(___ )___________(___ )
(√)\quad(△)
<image>In order to get to his bone, the dog has to follow the black line. In total he turns 3-times to the right and 2-times to the left. Which path does he take? A. A B. B C. C D. D E. E
E. E
<image> (2014 Autumn • Jiangxi Final Exam) As shown in the figure, the English word reflected in the mirror is ____.
HAPPY
<image>(I) A square piece of paper with a side length of 62.8 cm is rolled into a cylindrical tube. The radius of the base of this cylindrical tube is cm, and the height is cm. (II) The image shows the math competition scores of four students. The names of the students are not shown in the image. Xiao Wang says: I am not the last place; Xiao Qiang says: My rank is ahead of Xiao Fang; Xiao Fang says: My rank is ahead of Xiao Wang; Xiao Zhang says: My rank is behind Xiao Fang. What is Xiao Fang's score?
10, 62.8, 125
<image>(Autumn 2016, Xinghua City Monthly Exam) As shown in the figure, the students of Class 1, Grade 7, wrote "放飞我的梦想" ("Let my dreams fly") on the unfolded shape of a cube in their math class to save resources, using it as a banner for their class meeting. If this sheet of paper is folded back into a cube, the character opposite to "放" ("let") will be _____.
<image>If ∠A is an acute angle, cosA = , then ∠A = _________
30^{\circ
<image> Use a △ to mark the position of the little monkey. The little monkey starts from ·→ jumps 3 steps to the right → jumps 4 steps up → jumps 6 steps down.
(4, 2)
<image>Move the ruler to measure the length of the twig to the nearest inch. The twig is about (_) inches long.
2 inches
<image>Execute the flowchart, and it will print a sequence of numbers. The 3rd term of this sequence is ___.
30
<image> As shown in the figure, the diagonals of rectangle $$ABCD$$ intersect at point $$O$$. Given that $$∠AOB=60^{\circ}$$ and $$AB=4$$, find the length of $$AC$$. ______.
8
<image>ABC is in the form of a sector. Side DE expanding into an equilateral triangle beyond the rectangle. HGI forms a sector. Can you tell me the length of arc HI in sector HGI?
3*π
<image>The decreasing interval of the function is ___________________.
(0, \sqrt{1/3
<image> When (_______), it is a quadratic surd.
0
<image>A glass of milk, drank \(\frac{\) , at this point the glass still contains \(\frac{\) .______.
正确
<image> As shown in the figure, the side length of the square \(ABCD\) is 2, and the side \(AD\) is on the negative half of the \(x\)-axis. The graph of the inverse proportion function \(y= \dfrac {k}{x} (x < 0)\) passes through point \(B\) and the midpoint \(E\) of side \(CD\). Find the value of \(k\). ______ .
-4
<image> When incorrect input data is found during computation, you can use the key to clear the error. [_____ ]
正确
<image>As shown in the figure, O is a point on line AB, OC bisects ∠AOD, OE is within ∠BOD, and ∠DOE is \(\frac{1}{2}\) of ∠DOB. If ∠COE is 72°, find the degree measure of ∠DOE.
36