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The first volume of the final examination paper of junior one mathematics and its answers.
Junior high school first semester mathematics final examination questions

First, multiple-choice questions (3 points for each question, ***36 points)

1. The following statement is true ()

A, the shortest line segment between two points b, the ray is a straight line.

C, the figure composed of two rays is called angle D. An angle less than a right angle can be divided into acute angle and obtuse angle.

3. As shown in the figure, b and c are any two points on the line segment AD, m is the midpoint of AB, and n is the midpoint of CD. If Mn = A and BC = B, the length of line segment AD is ().

a、2(a-b) B、2a-b

c、a+b D、a-b

4. It is known that ∠ AOB = 30, ∠ BOC = 80 and ∠ AOC = 50, then ()

A, ray OB is in ∠AOC;; B, ray OB is outside ∠AOC.

C, line OB coincides with ray OA D, and ray OB coincides with ray OC.

5 The following equation is deformed, and the correct result is ()

A if a=b, then A+C = B+D B if 3a=b, then a=b-3.

C if 6x= 12, then x=2 D if 3x = 2A+2, then x=a 12.

6 If x=2 is the solution of equation 2 (x-3)+ 1 = x+a, then the value of a is ().

A -3 B-2 C 2 D 3

7 If the value of the algebraic expression is equal to 5, then the value of x is ().

A -5 B -7 C 3 D 5

8 The steps to solve the equation are as follows. The wrong step is ().

a2(x- 1)-(x+2)= 3(4-x)b 2x-2-x+2 = 12-3x

C 4x= 12 D x=3

9 the denominator in the following equation is correct ()

A is 2x- 1 = 3-3x.

B is 2 (x-2)-3x-2 =-4-

C is 3x+ 1 = 10-2x+6.

D is 3x+3 = 2x-3x+ 1.

1

10, a student walks 5 kilometers per hour from home to school and 4 kilometers per hour when returning by the same road. In this way, the return time is longer than the school time 10 minutes. If the time required for going to school is x hours, the correct equation is ().

A B C D

1 1. This commodity is subject to a 10% discount for two consecutive times. After the price reduction, the price of each commodity is M yuan, so the original price of the commodity is ().

A 0.92m yuan B 1. 12m yuan c yuan d yuan.

12. The distance of the earth going around the sun every hour is about1.1×105km. According to scientific notation, the distance of the earth's rotation in one day (within 24 hours) is about _ _ _ _ _ _.

[ ]

A.0.264× 107 km B.2.64× 106 km

c . 26.4× 105km d . 264× 104km。

Fill in the blanks (3 points for each question, 18 points)

13. To plant a neat row of trees, you can determine the straight line where the tree pits are located as long as you determine the position of the lower tree pits. The mathematical knowledge used here is _ _ _ _ _ _ _ _ _ _ _.

14. As shown in the figure, A, B and C are on a straight line, and it is known that ∠ 1 = 23 and ∠ 2 = 67.

Then the relationship between CD and CE is _ _ _ _ _ _ _.

The equation 3x-7 =-2x-5 of 15 can be transformed into 3x 2x = 7-5. The theoretical basis of this deformation process is

16 when m=, the root of the equation about x (m-2) x = 5 (x x x 1) is 2.

17 When n=, the monomials 2x4-and 2n- 1 are similar terms.

18.2.73x1051Yes _ _ _ _ _ _.

Three solution questions (this question ***66 points)

17. (5 points for this question) Put a pair of triangular rulers together as shown in the figure, and try to determine ∠A, ∠B,

∠AEB∠ACD degree, and use "

18. (5 points in this question) As shown in Figure 9, AB=20cm, C is a point on AB, AC= 12cm, D is the midpoint of AC, and E is the midpoint of BC. Find the length of line segment DE.

19. (This is called 12 minute) Solve the following equation.

( 1)

(2).

(3).

(4).

20. Use scientific notation to represent the following figures. (8 points)

① The storage capacity of the reservoir is 3281.400m3 = _ _ m3.

② There are 3,800 students in Jiefang Street Primary School. If students are organized to visit the Science and Technology Museum today and get tickets to 7 yuan, Jiefang Street Primary School will pay RMB _ _ _ _ _ _ _ _ _ _ _ _ _.

(3) There are 26 excavators in a development zone site. If each excavator digs an average of 750 m3 per day _ _ _ _ _ m3 will be dug in 12 days.

(4) The number of books in the school library is 3 1257 = _ _ _ _ _.

2 1(9 points) Fill a cylindrical bucket with an inner diameter of 20 cm and a height of 36 cm with water, and then pour the water into a cylindrical water tank with an inner diameter of 24 cm. At this time, water accounts for half of the volume of the water tank. How high is the water tank?

22. (7 points for this question) In the trapezoidal area formula,

23. (This question 10) A and B ride in the opposite direction of A and B respectively. It is known that the speed ratio of A and B is 2: 3, A leaves earlier than B 15 minutes, and meets B after 1 hour for 45 minutes. At this time, A walked 6 kilometers less than B, and let A and B ride.

24 (10). Figure 4 shows the weekly statistics of ambient air quality of five cities in Guangxi (March 3, 20021~ April 6, 2002). (1) Please draw the corresponding sector chart.

(2) What information can you get from the pictures?

(3) What do you think is the reason for the air quality difference?

Interviewee: qf133151065438 | Level 1 | 201-1420: 52.

Name of senior one math exam: 1. Single choice (3 points for each small question, ***30 points) 1. The cube of a number equals itself, and this number is () a, 0 B, 1 C,-1, 1 D and -65438+. Unequal ones are () a, (-3) 2 and -32b, (-3) 2 and 32 C, (-2) 3 and -23d, |-2 | 3 and |-23 | 3, (-1) 200+(- 1). -1/3, 1/4,-1/5, 1/6, … The seventh number is () a,-1/7 B, 1/7 C,-. 6. Comparing the sizes of-1/5 and-1/6, the result is () a, > b, < c, = d, and the uncertainty is 7. The following statement is wrong. The absolute value of the reciprocal of b and -7/9 is 9/7. C, the opposite number is equal to its own number is zero and all positive. Dividing by a number is equal to multiplying by its reciprocal. 8.(-m) 10 1 > 0, then there must be () a, m > 0b, m < 0c, m = 0d. None of the above is true. 9. When a positive integer n is compared with its reciprocal 1/n and its reciprocal -n, the correct ones are () a, -n ≤ n ≤ 1/n b,-n <1/n < n.