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Some exercises about seventh grade mathematics
Seventh grade final exam questions

A meditation to mend:

The reciprocal of 1 and +2 is _ _ _ _, the absolute value of -2 is _ _ _ _, and the reciprocal of -0.5 is _ _ _ _ _.

2. The geometric figure shown in figure 1 consists of _ _ faces, and the lines intersecting the faces have _ _ lines and _ _ vertices.

3. Canadian mathematician john fields is reading a math book. He read from page one to page n.

4. According to Xinhua News Agency Beijing 10.6: According to the latest statistics of the State Forestry Administration, the total number of nature reserves in China has reached 1757, accounting for 13.2% of the total land area, including 188 national nature reserves with a total area of16.35 million mu. Please use scientific notation to express 65.438+63.5 million mu = _ _ _ _ _ _ _ _.

5. Randomly draw two cards of the same size, marked with, and. "The two cards drawn are similar items" is a _ _ _ _ _ _ _ _ event.

6. Figure 2 is a line chart showing the change of minimum temperature from 1 to 1 0 with time in a city. Please fill in the bar chart in Figure 3 according to the information provided in Figure 2.

According to the latest research by American scientists, smoking will reduce people's life span. In daily life, smoking an average pack of cigarettes can reduce life expectancy by 2 hours and 20 minutes. If a person starts smoking at the age of n, one pack a day, and the average life expectancy is 70 years (n

8. As shown in Figure 4, if parts of two rectangles overlap (overlapping parts are also rectangles), the perimeter of the shaded part is (simplified result) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

9. As shown in Figure 5, there are _ _ _ _ _ groups of parallel lines in Tangram * *, and the distance from H point to BD is the length of the line segment _ _ _ _ _ _ _, that is to say, an angle of 1350 in the figure is _ _ _ _ _.

10. In order to celebrate New Year's Day, Kaifeng No.14 Middle School arranged a string of small colored lights at the school gate, which kept flashing in the following order (as shown in Figure 6), in which the numbers indicate the arrangement numbers of the small colored lights, and the English letters R, G and B indicate that the lights are red, green and blue respectively, so the arrangement and color patterns of the small colored lights No.426 to No.428 are (drawn in the box designated at the lower right).

Second, choose carefully:

1 1. Aunt Li spent 25,000 yuan to buy a company's 1 year bond. After 1 year, after deducting 20% interest tax, the sum of principal and interest is 26,000 yuan. The annual interest rate of this bond is ().

a、4% B、5% C、6% D、8%

12. There are () kinds of incorrect statements about 0.

①0 is the smallest rational number ②0 is the antonym ③0 is the smallest positive number.

④ The absolute value of 0 is 0.50, which is the smallest positive integer, and 60 has no reciprocal.

⑦0 is the smallest natural number ⑧0 is not an algebraic expression ⑨0 multiplied by any number equals 0.

Participating in 0 is neither positive nor negative.

a、3 B、4 C、5 D、6

13, as shown in Figure 7, ∠AOC and ∠BOD are right angles. If ∠AOB= 1400, the degree of ∠DOC is ().

300 B、400 C、500 D、600

14. A bacterium divides into two after 1 min, and then divides into four after 1 min. It takes 1 hour to put such a bacterium in a bottle until the bottle is full of bacteria. If you put two such bacteria in the bottle at the beginning, the time it takes for the bacteria to fill the bottle is ().

A, half an hour b, 45 minutes c, 59 minutes d, 1 hour

15, after the equation is named, the correct result is ().

A, B,

C, D,

16, the positions of the corresponding points of rational numbers A and B on the number axis are shown in Figure 8, so the correct size relationship of A, B, -A and B is ().

A, B,

C, D,

17. Build a geometry with a small cube, so that its front view and top view are as shown in Figure 9. Such geometry requires at least a cube ().

a、5 B、6 C、7 D、8

18, three brands of flour sacks sold in a grain store were marked with the words "quality is" and "quality is" respectively. Take out two sacks at random, with a maximum mass of () kg.

a、0.8 B、0.6 C、0.5 D、0.4

19. There are m red balls, 7 white balls and n black balls in a bag. Every ball is the same except the color. If you choose one of them, the possibility of getting a white ball is the same as the possibility of not getting a white ball. Then the relationship between m and n is ().

A, B, C, D,

Table 1

Colors are red, yellow, blue, white, purple and green.

The number of flowers is 1 2 3 4 5 6.

20. Paint the six sides of the cube with different colors and draw flowers with different numbers. The colors and the number of flowers on each surface are shown in the table:

Now, put cubes with the same size, color and flower distribution together to form a parallelepiped as shown in figure 10, with * * * flowers on the bottom of the cuboid.

a、 18 B、 17 C、 14 D、 10

Third, carefully calculate:

2 1, calculate the following problem:

22. Solve the following equation:

⑴ ⑵

23. Simplify first, then evaluate:, where the distance from the point corresponding to X on the number axis to the origin is one unit length.

Fourth, think patiently:

Date 1 2 No.3, No.4, No.5, No.6, No.7, No.8

The reading of the electric meter is 2 1 24 28 33 39 42 46 49.

24. Yang Hui's family moved to a new house and bought a batch of new household appliances. In order to know the magnitude of power consumption,

Table 2

At the beginning of August, Yang Hui continuously checked the readings of the electric meter every morning, and the records are shown in Table 2. If it is 0.53 yuan per kilowatt hour, please estimate Yang Hui's electricity bill in April.

25. There are six rational numbers in the set circle of the graph 1 1. Please calculate the difference between the sum of positive numbers and the product of negative numbers.

26. Please carefully observe the two balance scales (as shown in figure 12) and find out the quality names of pears and apples by using the mathematical knowledge you have learned.

27. Table 3 is a statistical table of the number of domestic tourists and the realized tourism income during the 12 "Golden Week".

Time 1999 20001month Spring Festival 2000 May 1, 20001month 200 1 Spring Festival 200 1 May 1, 2006 54 38+0 200

a 2800 2000 4600 5980 4496 7376 6397 5 158 87 10 807 1 5947 8999

b 14 163 18 1230 198288250228 33 1306257346

Table 3 (where a: the number of domestic tourists, the unit is 10,000; B: Realized tourism revenue, in RMB 100 million.

(1) Please draw a broken-line statistical map of the number of domestic tourists; ⑵ 12 How many hundred million domestic tourists did you receive during the Golden Week? ⑶ Estimate the number of domestic tourists and tourism income during the May 1 Golden Week in 2003 (May 1 Golden Week in 2003 was forced to be cancelled due to SARS), and explain the reasons.

The verb (short for verb) is determined to try:

A team with a length of 1 10 meters travels at a speed of 1.5 meters per second. A player walks from the end of the team to the head of the team at a speed of 4 meters per second, and then immediately returns to the end of the team at the original speed. Ask the team members how many meters the team has walked from leaving to returning to the end of the team. Try to adapt the above question into a question to find the length of the team to answer.

A functional test paper

1. Fill in the blanks: (30 points)

1. Given that the circumference of a rectangle is 24 and one side of it is X, Then the functional relationship between its area Y and X is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

2. Plan to spend 500 yuan to buy basketball. The functional relationship between the total number of purchasable pieces n (pieces) and the unit price a (yuan) is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _, where _ _ _ _ _ _ _ is the independent variable and _ _ _ _ _ _ _.

3. In the function, the value range of the independent variable x is _ _ _ _ _ _ _ _ _ _ _. In the function y= 15-x, the value range of the independent variable x is

4. The following function: ① y = 2x2+x+1② y = 2π r3y = ④ y = (-1) x.

⑤ y =-(a+x) (A is a constant) has _ _ _ _ _ _ _ _.

5. The coordinates of the intersection of the straight line y=3-9x and the X axis are _ _ _ _ _ _ _ _ _ _ _ _ _.

6. If the straight line y = kx+b is parallel to the straight line y = 3x+4 and passes through (1, -2), then k=.

7. If it is known that the image of the linear function y =(m+4)x+m+2(m is an integer) does not pass through the second quadrant, then m =;;

8. The image of linear function y = kx+b passes through points A (0 0,2) and B (- 1, 0). If the image is translated by 2 units along the Y axis, the resolution function corresponding to the new image is:

9. The spring will stretch when it is hung on an object. According to the measurement, the length y(cm) of the spring has the following relationship with the mass x(kg) of the suspended object:

x 0 1 2 3 4 5 6 7 8

y 12 12.5 13 13.5 14 14.5 15 15.5 16

Then the functional relationship between the total length y(cm) of the spring and the mass x(kg) of the suspended object is:

Second, the choice (30 points)

1. In the same rectangular coordinate system, for the function: ① y =–x–1; ②y = x+ 1; ③y =–x+ 1; (4) y =-2 (x+ 1) image, the following statement is correct ().

A, ① and ③ B pass through the point (–1,0), ② and ④ intersect on the Y axis.

C, ① and ③ D are parallel to each other, and ② and ③ are symmetrical about X axis.

2, known function y=, when x=a, the function value is 1, then the value of a is ().

A.3 B.- 1 C.-3 D. 1

3. If the image of function y=kx passes through point P(3,-1), then the value of k is ().

a3 B- 3 c d-

4. In the following function, the image passing through the origin is ()

a . y = 5x+ 1 b . y =-5x- 1 c . y =-d . y =

5. Both point A (–5, y 1) and point B (–2, y2) are on the straight line y =–12x, so the relationship between y 1 and y2 is ().

a、y 1≤y2 B、y 1=y2 C、y 1y2

6. Function y = k (x–k) (k < 0 = no image ().

A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant

7. To get the straight line y= from the image of y= x, we should put the straight line y= x ().

(a) upward translation by unit; (b) Downward translation by unit.

(c) translate 2 units up; (d) translate 2 units down.

8, a pool of water storage of 20 m3, open the valve after the outflow of 5 m3 per hour, the cubic number of remaining water in the pool after the water Q (m3) and the functional relationship between the water time t (when) is graphically represented as ().

9. it is known that the linear function y=kx+b, y decreases with the increase of x, and kb

(A) (B) (C) (D)

10. After dinner on Sunday, Xiaohong set out from home for a walk. The chart describes the functional relationship between walking time and walking time. According to the picture, the following description conforms to Xiaohong's walking scene ().

(1) Starting from home, I went to a newspaper column, read the newspaper for a while, and then went home.

(b) Start from home, go straight (non-stop) and then go home.

(c) From home, I went to a newspaper column and read the newspaper for a while.

Go for a while, then go home.

(d) Starting from home, I walked a long way to find my classmates. 18 minutes later.

Before starting to return.

Third, answer questions:

The image of linear function y = kx+b passes through points (-2,3) and (1, 3).

① Find the values of k and b; ② Judge whether (-1, 1) is on this straight line?

2. Knowing that the image of a linear function is parallel and passes through the point (2,-1), find the analytical expression of this linear function. And draw the image of linear function.

The starting price of taxis in a city within 3.5㎞ is 8 yuan. For each increase of 1㎞ and 1 yuan in the future, please write down the functional relationship between the taxi distance x㎞ and the charge y yuan, and draw a picture. How much did Xiao Ming pay for taking 10㎞, if Liang Xiao paid it?

A factory in Beijing and a factory in Shanghai made several computers at the same time. The factory in Beijing can support 10 foreign computers, and the factory in Shanghai can support 4 foreign computers. It is now decided to give Chongqing 8 sets and Hankou 6 sets. If the freight rates from Beijing to Hankou and Chongqing are 400 yuan/Taiwan and 800 yuan/Taiwan respectively, then the freight rates from Shanghai to Hankou and Chongqing are 300 yuan/Taiwan and 500 yuan/Taiwan respectively. Q:

(1) Write the functional relationship between the total transportation cost from Beijing to Chongqing X Station and transportation;

(2) If the total freight is 8400 yuan, how many units will be shipped from Shanghai to Hankou?

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