Seventh grade mathematics volume I final examination questions People's Education Edition

In junior high school, if you want to improve your math scores in grade seven, you should pay more attention to some details when you do the test questions. The following are the final examination questions of the seventh grade mathematics paper I compiled for you, hoping to help you!

The seventh grade mathematics volume one final examination questions 1. Multiple choice questions (3 points for each small question, 36 points for * * *).

1. Among the following equations, the one that belongs to the linear equation is ().

A.x2-2x=4

B.x=0

C.x+3y=7

D.x- 1=

2. The following calculation is correct ()

A.4x-9x+6x=-x

B.a-a=0

C.x3-x2=x

D.xy-2xy=3xy

3. The data of1460 000 000 is expressed by scientific notation, which should be ().

A. 1.46？ 107

B. 1.46？ 109

C. 1.46？ 10 10

D.0. 146？ 10 10

4. Find the value of 35 with a scientific calculator. The key sequence is ().

A.3，x■，5，= B.3，5，x■

C.5，3，x■ D.5，x■，3，=

At o lighthouse, it was observed that ship a was located at 54? At the same time, ship b is in the east of south 15? What about the direction? The size of AOB is ()

Point 69? B. 1 1 1？

C. 159？ D. 14 1？

6. A dress is sold at 10% of the original price. If the current price is one yuan, the original price is ().

Master of Business Administration (MBA)

District attorney

7. In the following categories, similar to x2y is ().

A.xy2 B.2xy

C.-x2y D.3x2y2

8. If the circumference of a rectangle is 6m, one side is m+n and the other side is ().

A.3m+n

B.2m+2n

C.2m-n

D.m+3n

9. known? A=37？ And then what? The complementary angle of a is equal to ()

.37 caliber? B.53？

C.63？ D. 143？

10. After the plane expansion diagram of the cube below is folded into a cube,? Dong? The antonym of the word is ()

A. Xiaogan B.

C. moving day

1 1. If [a] is the largest integer less than a, for example, [5]=4, [-6.7]=-7, then Equation 3[-? ]-2x=5 solution is ()

a7 B- 7

C.- D。

12. How many points are there on the same line? If there are 20 rays * * *, then the line segment * * * has ().

Article B.20

Article C.45 Article D.90

Fill in the blanks (4 points for each small question, 20 points for * * *)

13. Given that the polynomial 2mxm+2+4x-7 is a cubic polynomial about x, then m=.

14. In the "Nine Chapters of Arithmetic Analogy" written by Jason Wu, a mathematician in the Ming Dynasty in China, there is a mathematical topic called? Pagoda with lights? , what is the content? Looking from afar into the towering seventh floor, the red light doubled; * * * light three hundred and eighty-one. Can you tell me how many lights are on the top floor (from the top to the bottom of the tower)? There are lights on the top floor of this tower.

15. As shown in the figure, point B and point C are on the line segment AD, where m is the midpoint of AB and n is the midpoint of CD. If Mn = A and BC = B, the length of AD is.

16. balmer, a Swiss middle school teacher, successfully extracted the spectral data. Balmer formula is obtained, which opens the door to the mystery of spectrum. Please write the seventh data according to this rule.

17. As shown in the figure, now use a rectangle to arbitrarily frame a b in the table.

C d4, then

(1) the relationship between a and c is;

(2) When a+b+c+d=32, a=.

Iii. Answering questions (***64 points)

18.(24 points) (1) Calculation:-12 0 16-[5? (-3)2-|-43|];

(2) Solve the equation: =1;

(3) Simplify first, then evaluate:

A2b-5ac-(3a2c-a2b)+(3ac-4a2c), where a =- 1, b = 2 and c =-2.

19.(8 points) Solve the equation: 14.5+(x-7)=x+0.4(x+3).

20.(8 points) As shown in the figure, O is a point on the straight line BE. AOE=36？ , OC split equally? AOB, OD split equally? Bank of China, please? AOD degree.

2 1.(8 points) For a project, it takes 20 days for Party A to do it alone, and it takes 12 days for Party B to do it alone. After Party A and Party B have worked together for 6 days, Party B will continue to finish. How many days will it take Party B to complete the whole project?

22.(8 points) When a businessman comes to a new city and wants to rent a house, the conditions of the owner of A family are: pay 2000 yuan first, and then pay the rent every month. 380 yuan, the condition of the owner of family B is: pay the rent every month, 580 yuan.

(1) This businessman wants to live in this city for half a year, so which house is more economical to rent?

(2) How long do businessmen live, and the rent for renting two houses is the same?

23.(8 points) Read the following materials:

When Gauss was in elementary school, once the math teacher asked his classmates to calculate? 100 The sum of positive integers from 1 to 100? Many students have adopted the calculation method of sequential accumulation, which is very complicated and easy to make mistakes. After groping, the clever little Gauss gave the following beautiful solution process.

Solution: let S= 1+2+3+? + 100, ①

So S= 100+99+98+? + 1.②

①+②，get

2S = 10 1+ 10 1+ 10 1+？ + 10 1.

(① ② The left and right ends of the two formulas are added separately, with the left end equal to 2S and the right end equal to the sum of 100 10 1).

So 2S= 100? 10 1,

S=？ 100? 10 1.③

So 1+2+3+? + 100=5 050.

Later, people summed up this solution of Little Gauss as? Add in reverse order? .

Answer the following questions:

Could you use Gaussian, please? Add in reverse order? Calculation: 1+2+3+? + 10 1.

(2) Please carefully observe the formula ③ in the above-mentioned solution process and the similar formula ③ in your operation process, and guess:

1+2+3+? +n=。

(3) Please use the conclusion you guessed in (2) to calculate: 1+2+3+? + 1 999.

The answer to the final exam questions in the first volume of seventh grade mathematics I. Multiple choice questions

In option a of 1 B, the highest number of unknowns is quadratic; Option c contains two unknowns; In option D, the unknown is on the denominator, so choose B. 。

2. In option A, 4x-9x+6x = x; In option C, x3 and x2 are not similar items and cannot be merged; In option d, xy-2xy=-xy. So choose B.

3.B 4。 A 5。 D

6.b from the original price? = current price, get

Original price = current price? = Current price? .

7.C

8. the length of the other side of c =? 6m-(m+n)=3m-m-n=2m-n。

9.B 10。 C

1 1.c according to the meaning of the question, [-? ]=-4,

So 3? (-4)-2x=5, and the solution is x=-.

There are 20 rays of 12. C, indicating that there are 10 points on this straight line, so there are =45 line segments * * *.

Second, fill in the blanks

13. 1 The meaning of the problem is m+2=3, and the solution is m= 1.

14.3

15.2a-b AM+ND=MB+CN=a-b，AD=AM+ND+MN=a-b+a=2a-b。

16. The numerator of these data is 9 16, 25 and 36, which are the squares of 3, 4, 5 and 6 respectively.

So the numerator of the seventh data is 9, and the square is 8 1.

The denominator is smaller than the numerator by 4, so the seventh data is.

17.( 1)a+5=c or c-a=5 (2)5 (1)a differs from C by 5, so the relationship is a+5=c or c-a=5.

(2) The other three numbers can be represented by a according to the relationship between the numbers in the table, namely A+ 1, A+5 and A+6; When a+b+c+d=32, there is a+a+ 1+a+5+a+6=32, and the solution is a=5.

Third, answer questions.

18. Solution: (1) Original formula =-1-(45-64) =-1+19 =18.

(2)2(2x+ 1)-( 10x+ 1)= 6，

4x+2- 10x- 1=6，

4x- 10x=6-2+ 1，

-6x=5，x=-。

(3)a2b-5ac-(3a2c-a2b)+(3ac-4a2c)

=a2b-5ac-3a2c+a2b+3ac-4a2c

=a2b-2ac-7a2c。

When a =- 1, b = 2 and c =-2, the original formula =? (- 1)2? 2-2? (- 1)? (-2)-7? (- 1)2? (-2)=3-4+ 14= 13.

19. Solution: (x-7)=x+(x+3).

15? 29+20(x-7)=45x+ 12(x+3)。