People's education printing plate seventh grade mathematics final examination paper

Strive to create strength, attitude determines height. My wish: I can play my own level in the final exam of seventh grade mathematics. I sorted out the final examination paper of seventh grade mathematics published by PEP, hoping to help everyone!

People's education printing plate seventh grade mathematics final examination questions

I. Multiple choice questions (*** 12 small questions, 3 points for each small question, out of 36 points)

1. Calculate 1? The result of () is ()

A.﹣·c.﹣5

2. The following questions are not suitable for comprehensive investigation ()

A. understand the weekly physical exercise time of the whole class.

B. Safety inspection of passengers before boarding

C. the school recruits teachers and interviews candidates.

D. understand the daily pocket money of urban primary and secondary school students.

3. The following calculation is correct ()

a . 2(a+b)= 2a+b b.3x2﹣x2=2 c.﹣(m﹣n)=﹣m+n d . a+2 a2 = 3 a3

4. If A and 2b are opposite numbers, what about B? 0, then the reciprocal of a is ()

A.﹣·c.﹣

5. Given that the polynomial 5x2ym+ 1+xy2-3 is a polynomial of degree six, then nm= ().

A.﹣8

6. As shown in the figure, it is a traffic no-go sign, and the geometric figure that makes up this sign is ().

A. circle, rectangle B. circle, line segment C. ball, rectangle D. ball, line segment

7. As shown in the figure, there are many roads between A and B, so the serial number of the shortest path is ().

A.①﹣④ B.②﹣④ C.③﹣⑤ D.②﹣⑤

8. As shown in the figure, AOC,? BOD is a right angle. AOD:？ AOB = 3: 1, then? The degree of BOC is ()

A.22.5？ B.45？ C.90？ D. 135？

9. As shown in the figure, it is a fan-shaped statistical chart of the annual expenditure expenses of two families. According to the statistical chart, the following judgment on the annual food expenditure expenses is correct ().

A. there are more families in place a than in place B. There are more families in place B than in place A.

There are as many C.A. households as B. It is impossible to determine which one has more.

10. Given the position of real number A on the number axis, the result of simplifying |a+ 1|+|a| is ().

D.﹣2a﹣ 1

1 1. It is known that | n+2 |+(5m-3) 2 = 0, then the equation 65438+ 100mx+4 = 3x+n has x= ().

b.﹣2·d.﹣

12. A store can still make a profit of 20% if it sells a product with a 10% discount (that is, a discount of 10%). If the price of the commodity is 28 yuan per piece, the purchase price of the commodity is ().

A.2 1 yuan B. 19.8 yuan C.22.4 yuan D.25.2 yuan.

Fill in the blanks (***6 small questions, 3 points for each small question, full score 18 points)

13.﹣7+4= .

14. If the lowest temperature is -8℃ and the highest temperature is 9℃ higher than the lowest temperature, the highest temperature of the day is℃.

15. If the polynomial 5 (A2-2ab+B2)-(A2+Mab-B2) about A and B does not contain the ab term, then m=.

16. According to the sales volume in recent years, two automobile sales companies, A and B, have made the following statistics respectively:

From 2002 to 2006, the sales of the two companies increased rapidly.

17. Given that A and B are reciprocal, C and D are reciprocal, and the absolute value of X is 2, then X4-(A+B+C? d)x2+(a+b)20 14+(﹣c？ D) The value of d) 2015 is.

18. Use black pieces of the same size and place them according to the rules shown in the figure. There are black pieces in the nth figure.

Third, solve the problem (***8 small questions, out of 66 points)

19. Calculation:

( 1)5? (﹣3)﹣32? eight

(2)﹣2 [6+(﹣3)3].

20. Solve the equation: 3x-5 (x- 1) = 3+2 (x+3).

2 1. There is such a problem: calculate the value of 2x3 ~ 3x2y ~ (x3 ~ 2xy2+y3)+(x3+4x2y ~ y3), where x=2 and y = ~/kloc. Xiao Ming mistakenly copied x=2 into x =-2, but his calculation result is also correct. Why do you think this is? And find the correct value.

22. In order to understand the extracurricular reading preferences of seventh-grade students in a school, some seventh-grade students in the school were randomly selected for a questionnaire survey (each student only chose one kind of book). The following figures are two incomplete statistical charts drawn after sorting out the data. Please answer the following questions according to the information provided in the picture:

(1) A student was investigated in this activity.

(2) in the pie chart,? Other? The central angle of the sector is equal to degrees;

(3) completing the bar graph;

(4) If there are 600 students in this grade, what do you think this grade likes? Popular science knowledge? The number of students is about.

23. Draw a line segment AB=3cm, extend AB to C, make AC=3AB, and in turn extend AB to E, make AE= CE, and find the length of line segment CE.

24. As shown in the picture, you know? AOB= 140？ ,? COE and? EOD is complementary, OE is equally divided? AOD。

(1) What if? COE=40？ And then what? DOE=，？ BOD =；

(2) setting? COE=？ ,? BOD=？ Please explore? With what? The quantitative relationship between.

25. When some students named the equation, the ﹣2 on the right side of the equation was not multiplied by 3. At this time, the solution of the equation is x=2. Try to find the value of a and the correct solution of the original equation.

26. If a development company wants to produce a batch of new products, it must undergo fine processing before it can be put on the market. At present, both Red Star and Superstar want to process these products. It is known that it takes more than 20 days for Red Star to process these products alone than for superstar to process these products alone. Red Star can process 16 products a day, and superstar can process 24 products a day. The company will hand in 80 yuan, superstar 120 yuan one day.

(1) How many new products will this company process?

(2) During the processing, the company needs to send another engineer to the factory for technical guidance every day, and pay 5 yuan the lunch allowance every day. The product processing scheme formulated by the company is as follows: it can be completed by one factory alone or by two factories at the same time. Please help the company choose a processing scheme that saves money and time from all available schemes.

Reference answer to the final examination paper of seventh grade mathematics published by People's Education Press.

I. Multiple choice questions (*** 12 small questions, 3 points for each small question, out of 36 points)

1. Calculate 1? The result of () is ()

A.﹣·c.﹣5

Rational division of test sites.

Analysis basis? Divide two numbers, the same sign is positive, divided by the absolute value? Rules for direct calculation.

Solution: 1? (﹣ )=﹣5,

So choose C.

Comment on this problem to examine the division of rational numbers. Clear rules are the key to solve this kind of problem. Pay attention to determine the symbol of the operation first.

2. The following questions are not suitable for comprehensive investigation ()

A. understand the weekly physical exercise time of the whole class.

B. Safety inspection of passengers before boarding

C. the school recruits teachers and interviews candidates.

D. understand the daily pocket money of urban primary and secondary school students.

Comprehensive survey and sampling survey of test sites.

The survey results obtained from the analysis and census are more accurate, but it needs more manpower, material resources and time, while the survey results obtained from the sampling survey are similar.

Solution: a, understand the weekly physical exercise time of the whole class, the number is small, and it is appropriate to adopt a comprehensive survey, so option a is wrong;

B, passengers on the plane before the security check, is of great significance, should adopt a comprehensive investigation, so option b is wrong;

C, the school recruits teachers, and the interview of candidates must be fully investigated, so the C option is wrong;

D, understand the daily pocket money of urban primary and secondary school students, the workload is large, the census is of little significance, and it is not suitable for a comprehensive survey, so the D option is correct.

So choose D.

Comments on this topic examines the difference between sampling survey and comprehensive survey. According to the characteristics of the respondents, choose the general survey or sampling survey flexibly. Generally speaking, sampling surveys should choose destructive surveys, surveys that cannot be conducted and surveys that are of little significance or value. For surveys with high precision, surveys with great importance often choose general surveys.

3. The following calculation is correct ()

a . 2(a+b)= 2a+b b.3x2﹣x2=2 c.﹣(m﹣n)=﹣m+n d . a+2 a2 = 3 a3

Test sites merge similar items; Remove brackets and add brackets.

According to the rule of merging similar items, adding coefficients, keeping the letter index unchanged and removing brackets, the answer can be obtained.

Solution: A, every item in brackets is multiplied by the coefficient before brackets, so A is wrong;

B, merge similar items, coefficient plus letters and letter index remain unchanged, so B is wrong;

C, the parentheses are preceded by negative numbers, so c is correct;

D, not the same kind of goods can not be merged, so D is wrong;

So choose: C.

This topic reviews the merger of similar items, the merger of similar items, the addition of coefficients and the index of letters. Pay attention to the negative number before parentheses and the positive number before parentheses.

4. If A and 2b are opposite numbers, what about B? 0, then the reciprocal of a is ()

A.﹣·c.﹣

Countdown of test sites; Countdown.

According to the analysis, a+2b=0 can be obtained from the sum of opposites, and then a =-2b can be obtained, and the answer can be obtained from the product of reciprocal equal to 1.

Solutions; ∫a and 2b are antonyms,

? a+2b=0，

? a=﹣2b，

? The reciprocal of a is,

So choose: a.

Commenting on this problem mainly focuses on reciprocal and reciprocal, and the key is to master reciprocal: two numbers whose product is 1 are reciprocal.

5. Given that the polynomial 5x2ym+ 1+xy2-3 is a polynomial of degree six, then nm= ().

A.﹣8

Test site polynomial; Single item.

The equations about m and n are obtained by using the determination method of monomial and polynomial degree, and then the answers are obtained.

Solution: ∫ The polynomial 5x2ym+ 1+xy2﹣3 is a polynomial of degree six, and the degree of the single term 7x2ny5 ﹣ m is also 6.

? ,

Solution:

So nm=23=8.

So choose: C.

This paper mainly examines the degree of polynomial and single item, and correctly mastering the method of judging polynomial degree is the key to solving the problem.

6. As shown in the figure, it is a traffic no-go sign, and the geometric figure that makes up this sign is ().

A. circle, rectangle B. circle, line segment C. ball, rectangle D. ball, line segment

The test center understands plane graphics.

Analysis is based on a plane figure: all parts of a figure are on the same plane to get the answer.

Solution: According to the diagram, the geometric figures that make up this sign are rectangles and circles.

So choose a.

This topic mainly examines plane graphics, and the key is to master the definition of plane graphics.

7. As shown in the figure, there are many roads between A and B, so the serial number of the shortest path is ().

A.①﹣④ B.②﹣④ C.③﹣⑤ D.②﹣⑤

The nature of the test center line segment: the line segment between two points is the shortest.

The analysis can be answered according to the nature of the line segment.

Solution: As can be seen from the figure, among the four roads of Party A and Party B, only ②-④ are line segments.

So the sequence number of the shortest path is ②-④.

Therefore, choose: B.

This question examines the nature of line segments, and correctly grasping the shortest line segment between two points is the key to solving the problem.

8. As shown in the figure, AOC,? BOD is a right angle. AOD:？ AOB = 3: 1, then? The degree of BOC is ()

A.22.5？ B.45？ C.90？ D. 135？

Calculation of test center angle.

Is the analysis based on the meaning of the question? AOB and? AOD is x and 3x respectively. List the equations according to the meaning of the question and solve them.

Solution: Settings? AOB and? AOD is x, 3x,

From the meaning of the question, x+90? =3x，

X=45？ ,

then what AOB=45？ ,

So what? BOC=？ AOC﹣？ AOB=45？ .

So choose B.

The key to solving this problem is to correctly understand graphics and flexibly use the idea of combining numbers and shapes.

9. As shown in the figure, it is a fan-shaped statistical chart of the annual expenditure expenses of two families. According to the statistical chart, the following judgment on the annual food expenditure expenses is correct ().

A. there are more families in place a than in place B. There are more families in place B than in place A.

There are as many C.A. households as B. It is impossible to determine which one has more.

Test center fan chart.

Theme finale; Chart type.

According to the definition of fan chart, the total amount in this problem is not clear, so it is impossible to determine which of the two charts has more.

Solution: Because the sum of the two fan-shaped statistical charts is unclear,

So a, b and c are all wrong,

Therefore, choose: d.

Note This topic studies the definition of a pie chart. Statistical charts are called fan charts, and circles and sectors are used to represent the relationship between the whole and the part. The circle represents the whole, and each sector in the circle represents a different part of the whole. The size of the sector reflects the percentage of this part in the whole.

10. Given the position of real number A on the number axis, the result of simplifying |a+ 1|+|a| is ().

D.﹣2a﹣ 1

Addition and subtraction of algebraic expressions of test sites; Absolute value; Real number and number axis.

According to the position of point A on the number axis, we can judge the symbol of point A, then remove the absolute value symbol and merge similar items.

Solution: ∫ As can be seen from the figure, ∫ 1.