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<image> (2007 Dongcheng District Preliminary Exam - Science) _ Given that x and y satisfy the constraint conditions, the minimum value is ____________ . | 2 |
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<image>Simplify: = ________________. | -1 |
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<image> Can you fill in the missing numbers on Zhao Ming's ID card?
(1) The missing number is ____.
(2) What other information did you find? | 860801 |
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<image>Arrange the numbers 1 to 9 in a circle. Please cut between two numbers to form two nine-digit numbers in clockwise and counterclockwise order respectively. If the difference between these two nine-digit numbers is divisible by 396, where should you cut? | 5\ and\ 7 |
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<image>In which picture are there half as many circles as triangles and twice as many squares as triangles?
A. A
B. B
C. C
D. D
E. E | E. E |
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<image>Given the following four problems: ① Input a number x and output its absolute value; ② Find the perimeter of a square with an area of 6; ③ Find the maximum number among three numbers a, b, and c; ④ Find the function value of f(x) = . There are ______ problems that need to be described using selection structures. | 3 |
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<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 |
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<image>The flow chart of a program is shown in the figure. If the input is t=4, then the output k=______.
| 3 |
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<image> In △ABC, ∠C=90°, AC=9, sinB=, then AB=
[____ ]
A. 15
B. 12
C. 9
D. 6 | 15 |
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<image>The Yiling Yangtze River Bridge is a three-tower cable-stayed bridge. As shown in the figure, the longest steel cables AB and AC are hung from the left and right sides of the middle tower respectively. The distance between the base of the tower column D and point B is 228 meters. Then the length of BC is ___ meters.
| 456 |
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<image>$$(1)$$ The square root of $$16$$ is _______, the cube root of $$-27$$ is _______. $$(2)$$ If the distance from point $$P(m+1, 3m-5)$$ in the first quadrant to the $$x$$-axis equals the distance to the $$y$$-axis, the value of $$m$$ is _____. $$(3)$$ If the graph of the linear function $$y=-2x+3$$ is shifted downward by $$3$$ units, the equation of the resulting linear function is ________. $$(4)$$ As shown in the figure, all the quadrilaterals are squares, and all the triangles are right triangles. The side length of the largest square is $$10cm$$. The side lengths of squares $$A$$, $$B$$, and $$C$$ are $$6cm$$, $$5cm$$, and $$5cm$$, respectively. The area of square $$D$$ is ________ $$cm^{2}$$. | ±4 |
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<image>As shown in the figure, the ratio of the measures of ∠AOB, ∠COB, and ∠COD is 2:1:3, and ∠AOC + ∠DOB = 140°. Find the measure of ∠AOD.
| 120 |
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<image> As shown in the figure, there are three points $$A$$, $$B$$, and $$C$$ on the number line, which can move left and right along the number line. Please answer the following questions:
$$(1)$$ If point $$B$$ moves three units to the right to point $$D$$, the number represented by point $$D$$ is ______;
$$(2)$$ Move point $$A$$ to point $$E$$ such that one of the points $$B$$, $$C$$, and $$E$$ is the midpoint of the segment connecting the other two points. Please directly write out the distances and directions of all movements of point $$A$$;
$$(3)$$ If the three points $$A$$, $$B$$, and $$C$$ move such that they become three distinct rational numbers, and they can be represented in the form of $$1$$, $$a$$, and $$a+b$$, as well as in the form of $$0$$, $$b$$, and $$ \dfrac {b}{a}$$, find the values of $$a$$ and $$b$$. | 1 |
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<image> Draw a big "√" and a small "○".
(___ )___ (___ ) | ○ |
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<image>All vehicles in the garage can only drive forwards or backwards. The black car wants to leave the garage (see diagram). What is the minimum number of grey vehicles that need to move at least a little bit so that this is possible? | 4 |
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<image>As shown in the diagram, in $$\triangle ABC$$, $$∠B=90^{\circ}$$, $$AB=3$$, $$AC=5$$. If $$\triangle ABC$$ is folded so that point $$A$$ coincides with point $$C$$, with the fold line being $$DE$$, then the perimeter of $$\triangle ABE$$ is ________. | 7 |
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<image>:
____________ | 4 |
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<image>Which of the kangaroo cards shown below can be turned around so that it then looks the same as the card shown on the right?
A. A
B. B
C. C
D. D
E. E | E. E |
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<image>:
Running the program flowchart shown in the image, if the input n=4, the output value of S is ___.
| 11 |
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<image>Execute the flowchart as shown in the image, then the output S = ____. | 63 |
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<image> Given that the perimeter of ABCD is 26, and AB = 5, then BC = (___ ). | 8 |
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<image>(2012 Spring • Yueqing City Monthly Exam) Xiao Ming stands in front of the mirror and sees the jersey number in the mirror as shown in the image. What is the actual number on the jersey? _____. | 25 |
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<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>A square piece of paper, 4 inches on a side, is folded in half vertically. Both layers are then cut in half parallel to the fold. Three new rectangles are formed, a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?
A. $\frac{1}{3}$
B. $\frac{1}{2}$
C. $\frac{3}{4}$
D. $\frac{4}{5}$
E. $\frac{5}{6}$ | E. $\frac{5}{6}$ |
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<image>Carefully observe the cartoon faces shown in the image. The positional relationship of the two circles that do not appear in the image is ___ .
| Intersecting |
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<image>(2012 Autumn • Nan'an City Final Exam) Xiao Hua writes the characters "Construction," "Build," "Harmony," "Harmonious," "South," and "Peace" on the six surfaces of a cube respectively. The unfolded diagram of this cube is shown in the . In this cube, the character opposite to "Build" is "____." | 构 |
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<image>If the letters of the Word MAMA are written underneath each other then the word has a vertical axis of symmetry. For which of these words does that also hold true?
A. ADAM
B. BAUM
C. BOOT
D. LOGO
E. TOTO | E. TOTO |
|
<image>Execute the flowchart shown in the image, the output result is ______ .
| 16 |
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<image>The diagram below is a flowchart of an algorithm. If the output result is 31, then the value of the integer M in the decision box is ____.
| 4 |
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<image>After Haohao goes out, he walks a certain distance to the bus stop, and then takes the bus to school. Among the four images below, which one do you think describes Haohao's school day?
| 3 |
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<image> In a square grid, the parabola \( y_{1} = x^{2} + bx + c \) and the straight line \( y_{2} = kx + m \) are shown in the figure. Please observe the graph and answer: when -11 ____ \( y_{2} \) (fill in ">", "<", or "="). | < |
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<image>Execute the flowchart as shown in the image. The output value of \(a\) is ____.
| 127 |
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<image>The digits of the sequence $123451234512345 \ldots$ fill the cells on a sheet of paper in a spiral-like manner beginning with the marked cell (see the figure). Which digit is written in the cell being 100 cells above the marked one? | 1 |
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<image>If the ABCD shape is a combination of a rectangle and a semi-circle, the perimeter of the ABCD shape is 70, the BCFGH shape is a rectangle where an equilateral triangle has been removed from one side of it, the area of the BCFGH shape is 108, the CFIJ shape is a combination of a rectangle and a semi-circle, the length of the FI side is 6 and the area of the CFIJ shape is 90, compute the length of the AB side of the ABCD shape. Assume $\pi=3.14$. Round computations to 2 decimal places. | 17.04 |
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<image> The diagram below is a program flowchart for a certain algorithm. The result output by the program after execution is ____. | 27 |
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<image>Think about it and circle the correct answer.
Fold a square piece of paper twice as shown below, cut out the small hole as illustrated, and then unfold it. Which of the following patterns will you get?
| 4 |
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<image>(__) has only 12 legs. The equation is __________________. | 3 |
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<image>A barber wants to write the word SHAVE on a board so that a customer who sees the word in the mirror can read the word normally. How does he have to write the word on the board?
A. A
B. B
C. C
D. D
E. E | E. E |
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<image>When looking in the mirror, Xiaoming saw his school's badge in the reflection. In reality, it is: ____. | 实验中学 |
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<image>ABC is identified as a sector. EDFG conforms a square. In the shape EDFG, what is the measurement of GF? | 32 |
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<image>The flowchart of a certain program is shown as in the figure, then the output S = ___
| 26 |
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<image>Execute the flowchart as shown in the image. If the input value of A is 2, then the output value of P is ____________________ _________________________ __
| 4 |
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<image>[2013·Hunan Gaokao] If x^{2}dx=9, then the value of the constant T is ________. | 3 |
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<image>ABCD is a parallelogram. DCE is an isosceles triangle, and the sides DC and CE are of equal length. ECFG is a square. What would the perimeter of ECFG be? | 144 |
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<image> (2014•Dongtai City) Xiaojie conducted an experiment to heat a pot of cold water and recorded the temperature changes, then created a statistical chart (as shown in the figure). Fill in the blanks according to the chart.
(1) Before heating, the water temperature was ____°C.
(2) It took ____ minutes for the water temperature to rise from 26°C to 90°C, and ____ minutes to rise from 90°C to 100°C.
(3) If heating continues for another 5 minutes, the water temperature will be approximately ____°C. | 26 |
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<image>Which of the following diagrams shows the locus of the midpoint of the wheel when the wheel rolls along the zig-zag curve shown?
A. A
B. B
C. C
D. D
E. E | E. E |
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<image>(Autumn 2012 - City Xiang District School Midterm) Run the corresponding program as shown in the figure. If the input values for \( a \) and \( b \) are \( \log_{2}3 \) and \( \log_{3}2 \) respectively, then the output value \( M \) is ____. | 2 |
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<image>Fill in the blanks with appropriate units. (grams, kilograms, tons)
Figure (1) weighs 300_____; ____ Figure (2) maximum load is 4_____; ____ Figure (3) weighs 1_____. | kilograms |
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<image>(11·Hezhou) After folding the net of the cube shown in the figure back into a cube, the Chinese character opposite to the character "应" is ___▲__. | 静 |
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<image>The flag of Kangaria is a rectangle with side-lengths in the ratio $3: 5$. The flag is divided into four rectangles of equal area as shown. What is the ratio of the length of the shorter sides of the white rectangle to the length of its longer sides?
A. $1: 3$
B. $1: 4$
C. $2: 7$
D. $3: 10$
E. $4: 15$ | E. $4: 15$ |
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<image>Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long. | 2 centimeters |
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<image>The matrix of numbers in the diagram consists of 77 even numbers.
(1) In the matrix, draw any parallelogram-like frame as shown in the diagram. Suppose one of the numbers in the upper-left corner is x. How can the other three numbers be represented?
(2) If the sum of the four numbers is 326, can you find what these four numbers are? | No integer solution |
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<image>Calculate the result of _______________ | 12 |
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<image> = ________.____ | 36 |
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<image>Execute the flowchart as shown in the image. The output value of k is __ (___)
| 5 |
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<image>_______________ | 1 |
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<image>The first row shows 11 cards, each with two letters. The second row shows rearangement of the cards. Which of the following could appear on the bottom line of the second row?
A. ANJAMKILIOR
B. RLIIMKOJNAA
C. JANAMKILIRO
D. RAONJMILIKA
E. ANMAIKOLIRJ | E. ANMAIKOLIRJ |
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<image>As shown in the figure, the perimeter of △ABC is 28 cm. Fold the side AC of △ABC so that vertex C coincides with point A, and the crease intersects BC at point D and intersects AC at point E. Connect AD. If AE = 4 cm, then the perimeter of △ABD is ___ cm. __ | 20 |
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<image>Execute the flowchart shown in the image, then the output value of $$i$$ is ______ .
| 4 |
|
<image>Rotate the wheel (as shown in the image), and after stopping, the pointer may point to a bicycle.____.(Determine if true or false)
| True |
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<image>Execute the program flowchart as shown in the figure. If the input \( a=1 \) and \( b=2 \), then the output value of \( a \) is ____.
| 9 |
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<image> Do you know what area unit is written after the number on the sign in the picture? | square\ meters |
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<image>In a game one is allowed to take (some or all) building blocks from the top of a stack of building blocks, turn them upside down and place them back in the same position within one move. Goran starts with this stack of building blocks: <image1> In the end all building blocks should be ordered according to size. What is the minimum number of moves Goran needs to make? | 3 |
|
<image>Find the area of the shaded region in the image (unit: meters).
| 6 |
|
<image>【Problem】
(1) How often does the nurse measure the patient's temperature?
(2) What is the highest temperature in degrees Celsius of the patient? What is the lowest temperature in degrees Celsius of the patient?
(3) During which period of time did the patient's temperature drop the fastest on this day? During which period of time was the patient's temperature relatively stable?
(4) Based on the temperature, is the patient's condition improving or deteriorating? | 3 |
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<image> In the morning, a train comes out of a tunnel. Can you determine whether the train is heading east or west? | West |
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<image>___________. _ | 120° |
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<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 |
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<image>The temperature record of a patient is shown in the figure:
(1) This type of chart is a ____ chart.
(2) The nurse measures the temperature of the patient every ____ hours.
(3) The highest temperature of this patient is ____, and the lowest is ____.
(4) The black line in the figure represents ____.
(5) The patient's temperature at 12 o'clock the next day is ____.
(6) Considering the temperature, is the patient's condition deteriorating or improving? ____. | line |
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<image>Hint: Please answer the question and provide the final answer at the end.
Question: Add 6 purple rubber blocks. How many purple rubber blocks are left? | 7 |
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<image> Execute the flowchart as shown in the image, and output S=___. | 20 |
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<image> Move one matchstick to make the equation correct. | 4+7=11 |
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<image>Draw a "√" behind the longer one. | √ |
|
<image> The sales quantities of two products A and B in a Taobao shop from August to December 2013 are shown in the figure. By the end of ______ month, the total sales quantity of product A exceeds that of product B. | 11 |
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<image>According to the pseudocode shown in the image, the output value of S is ___.
| 21 |
|
<image>Xiaoming went on a trip with his father during vacation, and he created the following chart to show the driving situation of the car from City A to City B. Look at the chart and answer the following questions. (Only fill in the blanks, no need to show the process)
(1) The car traveled ____ kilometers from City A to the toll station at Highway C.
(2) The car rested for ____ hours when it was ____ kilometers away from City B.
(3) On the road section from City A to City B, the car's average speed was ____ kilometers per hour. (excluding rest time) | 60 |
|
<image>Given the algorithm's flowchart as shown in the image, if the output values (x, y) are marked sequentially as (x_{1},y_{1}),(x_{2},y_{2}),…,(x_{n},y_{n}), and an array output in the program is (t, -8), then t is ______ . | 81 |
|
<image>In the rectangle shown, the perimeter of section A is longer.____(True or False)
| False |
|
<image>_________________________ | -1 |
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<image>Use paper clips to measure the line. The line is about (_) paper clips long. | 2 |
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<image>As shown in the figure, point A is on the circumference of a coin, and the coin is tangent to the number line at the origin O (points A and O coincide). Assuming the diameter of the coin is 1 unit length, if the coin is rolled along the positive direction of the number line for one complete revolution, point A happens to coincide with point A′ on the number line. The real number corresponding to point A′ is ______. | \pi |
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<image> Color the largest ball red and the smallest ball blue. | 略 |
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<image>Student Yingying's motto is "Attitude determines everything," and she has written these words on each face of a cubic box. The surface development diagram is shown in the . Therefore, in this cube, the character opposite to the character "一" on the surface is ______ . | 度 |
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<image> As shown in the diagram, when heating a certain mass of water, the relationship between temperature and time is represented by the line a in the figure. If all other conditions remain unchanged and only the mass of the water is increased, which line would then represent the relationship between temperature and time? Please explain your reasoning. | c |
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<image>Given \(0° < \alpha < 90°\), when \(\alpha = __________\), . | 30^\circ |
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<image>A large square is divided into smaller squares, as shown. A shaded circle is inscribed inside each of the smaller squares. What proportion of the area of the large square is shaded?
A. $\frac{8 \pi}{9}$
B. $\frac{13 \pi}{16}$
C. $\frac{3}{\pi}$
D. $\frac{3}{4}$
E. $\frac{\pi}{4}$ | E. $\frac{\pi}{4}$ |
|
<image>In the given triangle △ABC, ∠A = 90°, point D is on the side AC, and DE ∥ BC. If ∠1 = 155°, then the measure of ∠B is _______.
| 65 |
|
<image>Calculate: | -1 |
|
<image>Which of the following diagrams shows the locus of the midpoint of the wheel when the wheel rolls along the zig-zag curve shown?
A. A
B. B
C. C
D. D
E. E | E. E |
|
<image>ABCD conforms a square. FEGH is geometrically a square. What is the side length HG in the shape FEGH? | 60 |
|
<image>ABCD is a parallelogram. HGIJ conforms a square. Can you tell me the length of HJ in shape HGIJ? | 6 |
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<image>Execute the program flowchart as shown in the figure, then the output value of $$k$$ is ______ .
| 6 |
|
<image>Execute the program flow chart as shown in the image, the output value of $$S$$ is ______
| 4 |
|
<image> The flowchart of a certain program is shown in the figure. The output (x, y) values are recorded sequentially as: (x_{1}, y_{1}), (x_{2}, y_{2}), …, (x_{n}, y_{n}), …; If an output array of the program contains (x, -10), then the value of x in the array is ______ . | 32 |
|
<image>If \( y = (m^{2} + m) \)\( + (m - 2)x + m^{2} - 4 \) is a quadratic function, find the value of \( m \). | 2 |
|
<image> equals ____________ | 0 |
|
<image>Crossing the River
| 7 |
|
<image> Based on the shadow of the small tree and the orientation shown in the figure, fill in the blank. The time reflected in the figure is approximately (___) of the day. (Fill in "morning", "noon", or "afternoon"). | morning |
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<image>Execute the pseudocode shown in the image. The final output value of S is ______.
| 14 |
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<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 |
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