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<image> (2012 Autumn • Shizhong District School Examination) The position of the number a on the number line is shown in the figure, and |a+1|=2. Then |3a+7|=____. | 2 |
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<image>Given \(0° < \alpha < 90°\), when \(\alpha = __________\), . | 30^\circ |
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<image>In a math activity class, Mingming designed a method to measure the height of a table using two identical rectangular wooden blocks. First, they placed the blocks as shown in Diagram ①, then swapped the positions of the two blocks and placed them as shown in Diagram ②. The measured data is shown in the images. According to the measured data, Mingming calculated the height of the table to be ______.
| 75 |
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<image> Color the largest ball red and the smallest ball blue. | 略 |
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<image>What percentage of the original price is the sale price of a certain shirt during a big discount?
| 80\% |
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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>The children's cinema can accommodate up to 850 viewers for a movie screening.
| 25500 |
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<image>Move the ruler to measure the length of the twig to the nearest inch. The twig is about (_) inches long. | 2 inches |
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<image>Calculate \( ()^{2} = ___ \) . | 2 |
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<image>As shown in the figure, the perimeter of rectangle ABCD is 20, and the length of the diagonal AC is 5. Then the perimeter of △ABC is (___ ). | 15 |
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<image>Read the program flowchart as shown in the figure, and run the corresponding program. If the input value of $$m$$ is $$2$$, then the output result $$i=$$ ______.
| 4 |
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<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 |
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<image>Class 5(1) students climbed Tiantai Mountain, and the journey from school to Tiantai Mountain is as follows:
1. The students took ____ hours to reach the mountain top.
2. During which time period did they rest? How many times did they rest? What was the total rest time?
3. Please describe the journey of Class 5(1) climbing Tiantai Mountain. | 3 |
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<image> As shown in the figure, it 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>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 |
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<image>The output of the program flowchart shown in the image is __________
| 8 |
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<image> Here is a simple scale made by Xiao Dong. He hung 4 weights of 2 kilograms each on the right end and 3 weights of 3 kilograms each on the left end. Which end will be higher? Why? | Left end higher |
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<image>As shown in the figure, quadrilateral $$ABCD$$ is an inscribed quadrilateral in circle $$⊙O$$. If $$∠B=130^{\circ}$$, then $$∠AOC=$$________$${\,\!}^{\circ}$$. | 100 |
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<image> Given the following algorithm statement, the result of this algorithm's execution is (___ ). | 11 |
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<image>Hint: Please answer the question and provide the final answer at the end.
Question: Add 3 tiny matte spheres. How many tiny matte spheres are left? | 4 |
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<image>As shown in the , there are three roads from Xiaoming's place to Xiaoying's house. Xiaoming wants to get to Xiaoying's house as soon as possible. Please help him choose a route____. | 2 |
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<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 |
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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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<image>A security department, in order to ensure secure information transmission, uses a key encryption system. The principles of encryption and decryption are shown in the diagram:
Now, let the decryption key be: \( x \to y = a^x \) (where \( a > 0 \) and \( a \neq 1 \)). As shown above, if the ciphertext "3" is decrypted to obtain the plaintext "8", then when the sender inputs the plaintext "4", the ciphertext received by the receiver should be "___". | 2 |
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<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 |
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<image>Move the ruler to measure the length of the nail to the nearest inch. The nail is about (_) inches long. | 2 inches |
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<image>Execute the program flowchart as shown in the diagram, then the output n = ____.
| 5 |
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<image>Move one matchstick to make the equation true.
| 29+37=66 |
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<image> During the days of earthquake relief and rescue, a team of traffic police is repairing a road. On average, if they work every day, it will take (__ _) days to complete the repair of this road. _ | 4 |
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<image>The driver of the car sees the license plate number of the car behind them in the rearview mirror. The actual license plate of this car is ____. | 81938 |
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<image> When incorrect input data is found during computation, you can use the key to clear the error.
[_____ ] | 正确 |
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<image>Move one matchstick to make the equation correct.
__ | 12-3=9 |
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<image>Draw a "√" behind the longer one. | √ |
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<image> As shown in the figure is the graph of the quadratic function \(y=ax^{2}-x+a^{2}-1\). The value of \(a\) is ____. | 1 |
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<image>Of the following numbers, how many are both axially symmetric and centrally symmetric (__)?
| 2 |
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<image> As shown in the program flow chart, when the input value of x is 3, the output result is ______.
``` | 1 |
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<image>Among tan45°, sin60°, 3.14, π, 0.101001, , the number of irrational numbers is (_). | 2 |
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<image>According to the figure, the output result is ________. | 105 |
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<image>Simplify the and the result is ____. | 1 |
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<image>(2015 Autumn • Nanjing Final) The positions of rational numbers a and b on the number line are shown in the figure. Simplify the expression |a - b| + |a + b| to obtain the result of ____. | -2b |
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<image> According to the (right) flowchart, if the input value of m is 3, then the output value of m is ____________. | 13 |
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<image>Crossing the River
| 7 |
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<image> The projection of a large art character board on the ground in the square is shown in the image. The projection belongs to ______. (Fill in "parallel projection" or "central projection") | central projection |
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<image> The distance covered in 1 minute is approximately 200 (___). | meters |
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<image>Execute the program flowchart shown in the image and output the value of $$A$$, which is ______ .
| 31 |
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<image>According to the flowchart shown in the image, the value of the output \( s \) is ____.
| 91 |
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<image>If , the value of the real number k is ________. | -1 |
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<image> 0 ÷ (-) = (___ ). | 0 |
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<image>Execute the program flowchart as shown in the figure. If \( p=15 \), then the output \( n= \) ___________.
| 5 |
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<image>If the algorithm flowchart on the right is executed, the output number is equal to ______. | 5 |
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<image>If the area of the ABCD parallelogram is 120 and the circumference of the yellow semi-circle is 38.55, compute the degree of the DAB angle. Assume $\pi=3.14$. Round computations to 2 decimal places. | 24.83 |
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<image>If \( y = (m^{2} + m) \)\( + (m - 2)x + m^{2} - 4 \) is a quadratic function, find the value of \( m \). | 2 |
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<image>Move the ruler to measure the length of the nail to the nearest inch. The nail is about (_) inches long. | 2 inches |
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<image> Color the circle blue and the triangle yellow. | 略 |
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<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 |
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<image>The diagram on the right is a flowchart of an algorithm. The output result is ______ ▲______. | 7 |
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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>The flowchart of a certain program is shown in the figure. The output S = (____). | 26 |
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<image>Write the six characters "创建文明城市" on the six faces of a cube. The net of the cube is shown in the diagram . On this cube, the character opposite to "创" is ________. | 明 |
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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. | 4 centimeters |
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<image> Color it.
Color the rectangle red, the square yellow, the triangle green, and the circle blue. | 略 |
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<image>Xiao Ming wants to nail a horizontal wooden strip to the wall. He needs to use at least ___________ nails to secure the strip. The reason is ___________.
| 2 |
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<image> (2014 Autumn • Jiangxi Final Exam) As shown in the figure, the English word reflected in the mirror is ____. | HAPPY |
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<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> 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 |
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<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 |
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<image>Aunt Wang drives from home to work, and the graph below shows the variation in her driving speed.
(1) The maximum speed at which Aunt Wang drove was ____ km/h.
(2) Aunt Wang spent a total of ____ minutes on the road.
(3) Can you guess what might have happened at 7:06? ____. | 60 |
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<image>What is the measurement of the total area of FEGH? | √(2) |
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<image>Use paper clips to measure the line. The line is about (_) paper clips long. | 3 |
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<image>According to the program flowchart shown in the image, the output result is i=____.
| 8 |
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<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 |
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<image>(Shandong) Execute the flowchart on the right, if \textit{p}=0.8, then the output \textit{n}=____. | 4 |
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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>Look at the picture and choose a number.
___ | 2 |
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<image>In the flowchart shown in the diagram, the output result is ___.
| 120 |
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<image> Fill in the blank with ">" or "<": ○0 (You can use a calculator). | > |
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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>CDE creates an equilateral triangle. Side HI projecting into an equilateral triangle beyond the rectangle. Square JHKL has an inner inscribed circle. What is the area size of the entire inscribed circle? | 2304*π |
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<image>The imaginary part of the complex number is ________ _. | 2 |
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<image>Execute the program flow chart as shown in the image, the output value of $$S$$ is ______
| 4 |
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<image> As shown in the figure, in rhombus ABCD, the diagonals AC and BD intersect at point O, and H is the midpoint of side AD. Given OH = 8, the perimeter of rhombus ABCD is ____. | 64 |
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<image>Execute the program flowchart as shown in the image. If the output \( S = 7 \), then the input \( k \) ( \( k \in \mathbb{N}^{*} \) ) is ____.
| 3 |
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