Beijing Normal University version of mathematics test questions for the first year of junior high school, it is best not to choose and fill in the blanks, but to have a lot of them!

1. Mathematics test questions for seventh grade volume 2

Author: admin Source of test questions: Original number of clicks on this site: 526 Update time: 2009-4-22

one. Multiple choice questions (each question is 3 points, ***30 points)

1. The degree of the polynomial 3x2y+2y-1 is ( )

A, 1st degree B, 2nd degree C, 3 times D, 4 times

2. The volume of a square with edge length a is a3. If the edge length is expanded to twice the original, the volume is ( )

A, 2a3 B, 8a3 C, 16 a3 D, a3

3. China’s fifth census data in 2000 shows that the total population of our country is 1295,330,000 people, accurate to tens of millions ( )

A, 1.30×109 B, 1.259×109 C, 1.29×109 D, 1.3×109

4. The following four sets of numbers are the lengths of three wooden sticks. They cannot be used to form a triangle. is ( )

A. 3cm, 4cm, 5cm B. 12cm, 12cm, 1cm C. 13cm, 12cm, 20cm D. 8cm, 7cm, 16cm

5. Known The measures of the three interior angles of △ABC are a, 2a, and 3a respectively. This triangle is ( ) triangle.

A. Acute triangle B. Right triangle C. Obtuse triangle D. Uncertain

6. The flag is the symbol of a country. The flags of the following four countries are not axially symmetrical figures. Yes ( )

A, Vietnam B, Australia

C, Canada D, Cambodia

7. Which of the following pictures can roughly reflect the performance of sprinters in the competition? The speed change from the starting point to the end point ( )

A, B, C, D,

8. As shown in the figure, it is known that △ABD≌△CBE, the following conclusion is not The correct answer is ( )

A, ∠CBE＝∠ABD B, BE＝BD C, ∠CEB＝∠BDE D, AE＝ED

9. Fold a rectangular piece of paper in half, then fold it in half again, and tear off one corner of the resulting rectangle. The opened figure must have ( ) axes of symmetry.

　

A, one B, two C, three D, four

10. The room is paved with two colors of flooring, of which the black floor area is white One-half of the floor area, there is a treasure hidden under the floor, the probability of hiding it under the white floor is ( )

A, 1 B, C, D,

2. I will fill it out. (Each question is worth 3 points, ***15 points)

11.22+22+22+22=____________.

12. The lengths of the two sides of the triangle are 5cm and 8cm respectively, then the range of the third side length is ___________.

13. The height of the triangle is x, the length of its base is 3, and the relationship between the area of ??the triangle s and the height x is ____________.

14. As shown in the figure, O is the midpoint of AB and CD, then the reason why △OAC≌△OBD is __________.

　

15. There are 2 red balls, 3 white balls, and 5 black balls in the bag. Take out a ball at random and touch the red ball. The probability of the ball is ________.

3. Answer the questions (6 points for each question, maximum 24 points)

16. (2mn+1) (2mn-1)-(2m2n2+2)

17. There is such a question "Calculate (2x3-3x2y-2xy2)-(x3-2xy2+y2)+(-x3 -3x2y-y2), where x= , y=-1. "Student A mistakenly copied x= as x=-, but the result of his calculation is also correct. What do you think is going on?

18. As shown in the figure, AB∥CD, straight line EF intersects AB and CD at points E and F respectively, EG bisects ∠BEF and intersects CD at point G, ∠EFG=500, find the degree of ∠BEG.

　

19. Xiaolin accidentally broke a piece of triangular glass on the decorative cabinet door while helping his grandma clean it (the broken shape is as shown in the picture), Xiaolin decided to use his own I saved up my pocket money and went to a glass shop to buy a piece of glass of the same size and asked my father to install it.

(1) Please use a ruler and compass to help Xiaolin draw a figure that is congruent with the original triangle in the box below. (Do not write the method, keep the traces of the drawing)

(2) Xiaolin found a glass shop with the drawing, and the salesperson measured the lengths of the three sides of the triangle as 20 cm, 15 cm, and 25 cm respectively. The salesperson said that glass is sold by the square meter. Could you please help Xiao Lin estimate how many square meters it would cost to buy a piece of glass of the same size?

4. Answer the questions. (7 points for each question, ***21 points)

20. The picture below shows several 4×4 square grids. Please draw four different division methods along the grid lines. Divide it into two congruent shapes.

　

21. As shown in the figure, AB∥CD, AE＝CF, ED∥BF. Do you think △ABF≌△CDE in the figure? Please explain why.

　　　

22. Note that this question provides two alternative questions. Please choose one of the following questions 22-1 and 22-2 to answer. More Doing a question does not count too much.

22—1. As shown in the picture, it is a part of a butterfly pattern. Please draw the other part of the pattern so that it takes L as the axis of symmetry. At this time, you will get a complete pattern of a beautiful butterfly. Give it a try. (Not written)

　　

22—2. The picture below is the time displayed by an electronic clock when seen in a mirror. What time do you think the actual time should be? Draw it behind.

Five. Answer the questions. (10 points for each question, ***30 points)

23. The following table is a statistical table of my country’s population density (population density is the number of people per square kilometer). Please draw a statistical chart and try your best to Make it more vivid. And talk about what information you can get from the picture.

Year 1949 1959 1969 1979 1989 1999 2003

Population density 57 70 84 102 118 131 134

24. Analyze the graph below to reflect the relationship between variables, imagine A practical situation that suits it, write it out for everyone to communicate and share.

　　　

25. Choose one of the following two questions to answer.

25-1. Xiao Ke and Xiao Ai play games together. Xiao Ke has a set of cartoons in his hand. There are three cartoons in his hand. One is Mickey Mouse and the other two are Snoopy. They are called Xiao Ai draws two from them. If they take out Mickey Mouse and Snoopy, then Xiao Ai loses and Xiao Ke wins. Is the game fair? What is the probability that Xiao Ai wins?

　

25-2. China Sports Lottery and China Welfare Lottery both have 3D gameplay. The gameplay is 2 yuan per bet. The selected three digits match the three digits drawn. If they are the same, you will win 1,000 yuan. Can you use your knowledge to explain what is the probability of winning in this way? If you want to win a prize with one bet, how many bets must you buy? How to buy?

Reference answer: (The answer to the picture-making question in this answer is not unique. This answer is for reference only)

1. Multiple choice question: CBADB BADBD

2. I will fill in: 11. 16 12. Greater than 3 and less than 13 13.S＝ 17. The original formula is simplified to: -6x2y-2y2, no matter x is or -, x2 is, the result remains unchanged. 18.650

19. 0.015 square meters

IV.20. (The answer is not unique)

　

21. ED∥BF gets ∠ AFB=∠CED, AB∥CD gives ∠A=∠C; adding EF to both sides of AE=CF gives AF=CE. According to the angle-angle-side theorem, two triangles are congruent.

22.

(1) (2)

V.23. (The answer is not unique)

　

< p>As can be seen from the picture, the population of our country is increasing. Since 1999, under the control of the state, the population growth has been slow. (As long as it makes sense)

24. (The answer is not unique) Xiao Ming went to school. After walking for a while, he saw an acquaintance and talked to him for a while. He found that he was going to be late. After saying goodbye to my acquaintances, I quickly went to school.

25. (1) The game is unfair, and the probability of Xiao Ai winning is .

(2) The probability of winning in 3D is . If you want to win, you must buy at least 1,000 bets, from 001 to 999.

1. Multiple choice questions (each question is 3 points, ***30 points)

1. The degree of the polynomial 3x2y+2y-1 is ( )

A, 1st degree B, 2nd degree C, 3 times D, 4 times

2. The volume of a square with edge length a is a3. If the edge length is expanded to twice the original, the volume is ( )

A, 2a3 B, 8a3 C, 16 a3 D, a3

3. China’s fifth census data in 2000 shows that the total population of our country is 1295,330,000 people, accurate to tens of millions ( )

A, 1.30×109 B, 1.259×109 C, 1.29×109 D, 1.3×109

4. The following four sets of numbers are the lengths of three wooden sticks. They cannot be used to form a triangle. is ( )

A. 3cm, 4cm, 5cm B. 12cm, 12cm, 1cm C. 13cm, 12cm, 20cm D. 8cm, 7cm, 16cm

5. Known The measures of the three interior angles of △ABC are a, 2a, and 3a respectively. This triangle is ( ) triangle.

A. Acute triangle B. Right triangle C. Obtuse triangle D. Uncertain

6. The flag is the symbol of a country. The flags of the following four countries are not axially symmetrical figures. Yes ( )

A, Vietnam B, Australia

C, Canada D, Cambodia

7. Which of the following pictures can roughly reflect the performance of sprinters in the competition? The change in speed from the starting point to the end point ( )

A, B, C, D,

9. Fold a rectangular piece of paper in half, then fold it in half again, and tear the resulting rectangle. Remove one corner, and the opened graph must have ( ) axes of symmetry.

　

A, one B, two C, three D, four

10. The room is paved with two colors of flooring, of which the black floor area is white One-half of the floor area, there is a treasure hidden under the floor, the probability of hiding it under the white floor is ( )

A, 1 B, C, D,

2. I will fill it out. (Each question is worth 3 points, ***15 points)

11.22+22+22+22=____________.

12. The lengths of the two sides of the triangle are 5cm and 8cm respectively, then the range of the third side length is ___________.

13. The height of the triangle is x, the length of its base is 3, and the relationship between the area of ??the triangle s and the height x is ____________.

5. There are 2 red balls, 3 white balls, and 5 black balls in the bag. If a ball is randomly picked out from it, the probability of getting the red ball is ________.

3. Answer the questions (6 points for each question, maximum 24 points)

16. (2mn+1) (2mn-1)-(2m2n2+2)

17. There is such a question "Calculate (2x3-3x2y-2xy2)-(x3-2xy2+y2)+(-x3 -3x2y-y2), where x= , y=-1. "Student A mistakenly copied x= as x=-, but the result of his calculation is also correct. What do you think is going on? 19. Xiaolin accidentally broke a piece of triangular glass on the decorative cabinet door while helping his grandma clean it (the broken shape is as shown in the picture). Xiaolin decided to use his saved pocket money to go to a glass shop to buy a piece of glass of the same size. , ask my father to install it.

(1) Please use a ruler and compass to help Xiaolin draw a figure that is congruent with the original triangle in the box below. (Do not write the method, keep the traces of the drawing)

(2) Xiaolin found a glass shop with the drawing, and the salesperson measured the lengths of the three sides of the triangle as 20 cm, 15 cm, and 25 cm respectively. The salesperson said that glass is sold by the square meter. Could you please help Xiao Lin estimate how many square meters it would cost to buy a piece of glass of the same size?

4. Answer the questions. (7 points for each question, ***21 points)

20. The picture below shows several 4×4 square grids. Please draw four different division methods along the grid lines. Divide it into two congruent shapes.

22. Note that this question provides two alternative questions. Please choose one of the following questions 22-1 and 22-2 to answer. There will be no extra points for answering one more question. .

22—1． As shown in the picture, it is a part of a butterfly pattern. Please draw the other part of the pattern so that it takes L as the axis of symmetry. At this time, you will get a complete pattern of a beautiful butterfly. Give it a try. (Not written)

　　

22—2. The picture below is the time displayed by an electronic clock when seen in a mirror. What time do you think the actual time should be? Draw it behind.

Five. Answer the questions. (10 points for each question, ***30 points)

23. The following table is a statistical table of my country’s population density (population density is the number of people per square kilometer). Please draw a statistical chart and try your best to Make it more vivid. And talk about what information you can get from the picture.

Year 1949 1959 1969 1979 1989 1999 2003

Population density 57 70 84 102 118 131 134

24. Analyze the graph below to reflect the relationship between variables, imagine A practical situation that suits it, write it out for everyone to communicate and share.

25-1. Xiao Ke and Xiao Ai play games together. Xiao Ke has a set of cartoons in his hand. There are three cartoons in his hand. One is Mickey Mouse and the other two are Snoopy. They are called Xiao Ai draws two from them. If they take out Mickey Mouse and Snoopy, then Xiao Ai loses and Xiao Ke wins. Is the game fair? What is the probability of Xiao Ai winning?

　

25-2. China Sports Lottery and China Welfare Lottery both have 3D gameplay. The gameplay is 2 yuan per bet. The selected three digits match the three digits drawn. If they are the same, you will win 1,000 yuan. Can you use your knowledge to explain what is the probability of winning this way? If you want to win a prize with one bet, how many bets must you buy? How to buy?

Reference answer: (The answer to the picture-making question in this answer is not unique. This answer is for reference only)

1. Multiple choice question: CBADB BADBD

2. I will fill in: 11. 16 12. Greater than 3 and less than 13 13.S＝ 17. The original formula is simplified to: -6x2y-2y2, no matter x is or -, x2 is, the result remains unchanged. 18.650

19. 0.015 square meters

IV.20. (The answer is not unique)

　

21. ED∥BF gets ∠ AFB=∠CED, AB∥CD gives ∠A=∠C; adding EF to both sides of AE=CF gives AF=CE. According to the angle-angle-side theorem, two triangles are congruent.

22.

(1) (2)

V.23. (The answer is not unique)

　

< p>As can be seen from the picture, the population of our country is increasing. Since 1999, under the control of the state, the population growth has been slow. (As long as it makes sense)

24. (The answer is not unique) Xiao Ming went to school. After walking for a while, he saw an acquaintance and talked to him for a while. He found that he was going to be late. After saying goodbye to my acquaintances, I quickly went to school.

25. (1) The game is unfair, and the probability of Xiao Ai winning is .

(2) The probability of winning in 3D is . If you want to win, you must buy at least 1,000 bets, from 001 to 999.