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The answer to a good math score at the end of the term
The final examination questions of the first volume of seventh grade mathematics (total score 120 points, examination time 120 minutes)

Student's name, class seat number

First, multiple-choice questions (3 points for each small question, 30 points for * * *)

The absolute value of the reciprocal of 1 and-is ()

a 、- B、2 C 、-2 D、

2, as shown in the figure of geometry, from the top of the graph is ().

A B C D

3, the following statement is incorrect ()

A, the opposite number is equal to your own number is 0 B, and the number with the smallest absolute value is 0.

C The smallest integer is 0 D, and the smallest square is 0.

In 2007, Chang 'e I of China's lunar exploration project was launched and flew to the moon. It is known that the earth is about 384,000 kilometers from the surface of the moon, so this distance should be expressed as () in scientific notation.

A km b km c km d km 3.84× 103 km

5. At half past two on the clock, the angle formed by the hour hand and the minute hand is ().

A, 120 B, 105 C, 75 D, none of the above answers are correct.

6. The formal formula is called the second-order determinant, and its algorithm is expressed as = A2D-B2C. The result calculated according to this rule is ().

a、 1 1B 、- 1 1C、7d 、-2

7, rational number, the corresponding point on the number axis is as shown in the figure: then ()

A, B, C, D,

8, to make the solution of the equation for, must be ()

A, you can take any value b, c, d,

9. Xinhua Bookstore sells two kinds of books, A and B, which are sold as 1.560 yuan and 1.350 yuan respectively, in which A book makes a profit of 25% and B book loses 10%, so the profit and loss of Xinhua book on this day is ().

A, profit 162 yuan b, loss 162 yuan c, profit 150 yuan d, loss 150 copies.

10, exploring the law: observe the following list of monomials:,,, …, and according to the law, the10th monomial is ().

A, B, C, D,

2. Fill in the blanks (this big question is ***6 small questions, each with 3 points. *** 18)

1 1, if it is known that and are similar terms, the value of is.

12, known, then.

13, the solution of the linear equation of x is _ _ _ _ _ _ _ _.

14, the two equations about x are the same as the solution of, then =.

15, as shown in the figure, ∠ 1=∠2, ∠3=∠4, ∠ BOD = 65, then

∠AOE=_______ .

16, study the following formula, what laws will you find?

1×3+ 1=4=22

2×4+ 1=9=32

3×5+ 1= 16=42

4×6+ 1=25=52

……

Please use the formula to express the law you found: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Third, answer the question (this big question is ***9 small questions, ***72 points)

17, (6 points) calculation: -22÷(- 1)3×(-5)2

18, (6 points) calculation:

19, (7 points) Simplify the following formula first, and then evaluate it:, where,.

20.( 12) Solve the equation: (1) 0.5y-0.7 = 6.5-1.3y (2)

2 1, (7 points) It is known that the complementary angle of an angle is the complementary angle of this angle. Find this angle.

22.(6 points) The figure consists of six small cubes, drawn from the front, top and left respectively.

23.(9 points) As shown in the figure, the straight line AB and CD intersect at O, ∠BOC = 800, OE is the bisector OF ∠BOC, and of is the reverse extension line of OE.

(1) Number of times to find ∠2 and ∠3; (2) Description: bisection ∠AOD.

24.(9 points) A DVD rental store provides two ways to rent discs: one is to rent discs sporadically, and each disc charges 1 yuan; The other is membership card rental. Members pay the monthly membership fee of 12 yuan, and the rental fee is one 0.4 yuan. Xiao Bin often comes to the store to rent discs, if Xiao Bin rents X discs every month.

(1) Write out the rental amount payable by X-Bin under the two leasing methods respectively;

(2) If X-Bin rents 24 discs a month, which disc rental method is cost-effective?

(3) How many discs does Xiao Bin rent every month? Which method is more cost-effective?

25.( 10) During the May Day holiday, Xiao Ming, Liang Xiao and other students went to the park with their parents. The following is a conversation between Xiao Ming and his father when they buy tickets (pictured). Try to answer the following questions according to the information in the picture:

(1) How many adults and students did Xiaoming go to?

(2) Please help Xiao Ming think about which way to buy tickets is more economical?

Full score of this volume 100, 90 minutes for completion)

Name: Achievements:

1. Fill in the blanks (this big question * *, a total of 15 questions, 2 points for each question, out of 30 points).

1, as shown in the figure: the number whose distance from point A on the number axis is equal to 5 is.

2. It is correct to round 3. 14 15926 to one thousandth. If 302400 is expressed by scientific notation, it should be recorded as about 3.0× accurate to one decimal place.

3. It is known that the circumference of a circle is 50, and the radius of the circle is expressed by an algebraic expression containing π, which should be.

4. Each pencil is worth 1000000 yuan. After Xiao Ming bought n pencils with10 yuan, there was still RMB left.

5. When a =-2, the value of algebraic expression is equal to.

6. The algebraic expression 2x3Y2+3x2Y- 1 is a second-order term.

7. If 4amb2 and abn are similar terms, then m+n=.

8. Polynomials 3x3y- xy3+x2y2+y4+Y4 are arranged in ascending order by the letter X.

9. If it is ∣x-2∣= 1, then it is ∣x- 1∣=.

10, calculation: (a- 1)-(3a2-2a+ 1) =.

1 1. Calculate with a calculator (keep 3 significant figures): =.

12, Blackjack Game: Use the following numbers to score 24 points (each number can only be used once).

2, 6, 7, 8. Formula.

13, calculation: (-2a)3 =.

14, calculation: (x2+x- 1)? (-2x)= .

15. Observe the rule and calculate: (2+1) (22+1) (24+1) (28+1) =. The calculator doesn't work, and the result is in the form of power. )

Second, the choice (this big topic * * * a total of 4 questions, each question 2 points, out of 8 points)

16, the following statement is correct .................................................. ()

(A)2 is not algebraic; (b) it is a single item.

The linear coefficient of (c) is 1 (D) 1 is a monomial.

17. The following merged similar projects are correct ....................................................................... ()

(A)2a+3a = 5(B)2a-3a =-A(C)2a+3b = 5ab(D)3a-2b = ab

18, the following set of numbers arranged according to the law: 1, 2, 4, 8, 16, ..., No.2002 should be ().

A, b,-1 C, d, the above answers are incorrect.

19. If we know that A and B are reciprocal, and X and Y are reciprocal, then algebraic expression.

The value of |a+b|-2xy is ().

A.0b-2 c.-1d. cannot be determined.

Iii. Answer: (This big question is * * *, with a total of 4 questions, with 6 points for each question, out of 24 points).

20. Calculation: x+ +5

2 1, evaluation: (x+2) (x-2) (x2+4)-(x2-2) 2, where x =-

22. It is known that a is the smallest positive integer. Try to find the value of the following algebraic expression: (4 points for each small question, *** 12 points)

( 1)

(2) ;

(3) By (1), (2) What did you find or think of?

23. Given that a = 2x2-x+ 1, a-2b = x- 1, find b.

Four, the application problem (this big problem * * * has five questions, 24, 25 each question 7 points, 26, 27, 28 each question 8 points, out of 38 points)

24. It is known (as shown in the figure) that the side length of square ABCD is B, and the side length of square DEFG is A.

Find the area of (1) trapezoidal ADGF.

(2) the area of triangle AEF

(3) Area of triangular AFC

25. Known (as shown in the figure): use four right-angled triangles with base B, height A and hypotenuse C.

Make a square and find the area of the small square in the center of the figure. You can find it easily.

The area of the solution (1) small square =

Solution (2) Area of small square =

By solving (1) and (2), we can get the relationship between a, b and c as follows:

26. It is known that the taxi charging standards in our city are as follows: all taxis with a mileage of less than five kilometers will be charged to 5 yuan; If the mileage exceeds 5 kilometers, the excess part will be charged at 1.2 yuan per kilometer except 5 yuan.

(1) If someone travels by taxi for x kilometers (x >: 5), how much should he pay? (Column Algebra) (4 points)

(2) A tourist takes a taxi from Xinghua to Shagou and pays 4 1 yuan. Try to estimate how many kilometers it is from Xinghua to Shagou. (4 points)

27, the members of the first team and the second team get together. There are m people in the first team, and the second team has two more people than the first team. If each member of two teams gives a gift to each member of the other team.

Q: (1) The total number of gifts given by all players. (represented by the algebraic expression of m)

(2) When m= 10, how many gifts are given?

28. The price of a commodity in 1998 is 5% higher than that in 1997, while the price in 1999 is higher than that in 1998, and the price in 2000 was lower than that in 1999. So, in 2000, compared with 1997, was it price increase or price decrease? What is the percentage of price increase or decrease?

In 2006-2007, I studied the math questions (including answers) in the final examination paper of grade 9 of the three-year new people's education edition.

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