20 12 1 month

Instructions for candidates:

1. This paper * * * has 7 big questions and 27 small questions, ***6 pages, with full marks 100.

2. The examination time is 90 minutes. Please answer the questions with a blue or black pen and ballpoint pen.

The total score of the topic is one two three four five six seven.

Take the lead

Test-reviewers

1. Multiple-choice questions: (There is only one correct answer for each question, * *10, 3 points for each question, ***30 points)

The reciprocal of 1 Yes ()

A.B. C. D。

2. As shown in the figure, the number represented by dots on the number axis is added with the number represented by dots, and the result is ().

A.B.

C.D.

3. Formula, the calculation result is ()

A.B. C. D。

4. In the following operations, the correct result is ().

A.B.

C.D.

5. If the difference of a polynomial is 0, then this polynomial is ().

A.B.

C.D.

6. In the following equation, the equation solved by is ()

A.B.

C.D.

7. As shown in the figure, point M is the midpoint of line segment AB, and point N is any point on line segment AM (point N does not coincide with point A), so the following conclusion is not necessarily correct ().

A.

B.

C.

D.

8. At 2 o'clock in the afternoon (as shown in the picture), the angle formed by the minute hand and the hour hand of the clock is ()

a90

70-60 AD

9. The shopping mall marked a brand refrigerator as a 50% increase in purchase price, and then advertised "20% discount, plus 100 yuan in cash". As a result, each refrigerator can still make a profit in 300 yuan, so the purchase price of each refrigerator is ().

A.2000 yuan B. 1950 yuan C.2280 yuan D.2350 yuan

10. There is a cube with six faces marked with the number 1 ~ 6. As shown in the figure, the number observed by the cube from different directions is ().

A.、b、c、d、

Two. Fill in the blanks: (question 1 1, 12, 13, 15, 16, 2 points each, question 14, 1 4.

The reciprocal of 1 1. It's _ _ _ _ _ _.

12. Known: then =

13. On the number axis, the point corresponding to the distance number represents the number of points with unit length, and a piece of wood with unit length can cover an integer point at most on the number axis.

14. Please fill in the appropriate formula in ""below to make the equation hold. (Fill in polynomial,

Fill in the single item)

15. Calculation: =; 47.6 - = .

16. As shown in the figure, overlap the right-angled vertices (including 30 degrees) of two right-angled triangular plates.

If ∠ AOD = 128, ∠BOC = degrees.

17. Fill in the blanks according to the law of numbers in the picture. (3 spaces)

…

Third, the calculation problem: (***2 small questions, 5 points for each small question, * *10)

18.。 19.。

Solution: Solution:

Fourth, solve the equation: (***3 small questions, 5 points for each small question, *** 15 points)

20.。 2 1.。

Solution: Solution:

22.。

Solution:

V. Answer: (***2 small questions, each with 5 points, *** 10)

23. Please check the algebraic expression.

Simplify first and then evaluate.

Solution:

24. As shown in the figure, OC is the ray inside ∠AOB, and△ △ODE is a 60-degree triangular plate, so that the vertex of 60 degrees coincides with the O point, the ray where the edge OD is located bisects ∠AOC, and the ray where the edge OE is located bisects ∠BOC, thus obtaining the degree of ∠AOB.

6. Explore and solve problems: (* * 1 small questions, 1 points per grid, ***4 points)

25.① As shown in figure (1), there are two points on the straight line L and there are 1 line segments.

② As shown in Figure (2), there are three points and a line segment on the straight line L. 。

(3) As shown in Figure (3), please draw four points on the straight line L, and there are several line segments.

④ As shown in Figure (4), if there are n points on a straight line (n is a positive integer greater than 1), there is a line segment in the figure.

⑤ Apply the law found in ⑤ to solve problems: There are six classes in Grade One of a school playing football, and they are going to follow suit.

Tournament (that is, one game between two teams), it takes one game to complete all the games.

Seven, solve the application problem (***2 small questions, each small question 6 points, *** 12 points)

26. The fruit price of a supermarket is shown in the following table:

Variety apple watermelon orange pear banana

Price (RMB/kg) 4.0 3.2 1.8 2.0 3.6

(1) Xiaoming spent 15 yuan buying fruit and got the equation. According to the price of fruit in the supermarket, please describe the practical significance of this equation and then solve this practical problem.

Solution:

(2) Please put forward a similar practical problem according to the information provided in the table and solve it with the relevant knowledge of the equation.

Solution:

In order to solve the problem of migrant workers' children's difficulty in enrolling in school, Beijing has established a set of schooling guarantee mechanism for migrant workers' children since 2009, one of which is to exempt them from paying the "borrowing fee". According to statistics, in the autumn of 2009, there were15,000 children of migrant workers studying in primary and secondary schools in a certain district of Beijing, and by the autumn of 20 1 1, they were studying in this district. Among them, primary schools increased by 20% and secondary schools increased by 32%. In this way, in the autumn of 20 1 1, 3,600 children of migrant workers were enrolled in primary and secondary schools in this area.

(1)20 1 1 Among the 3,600 new students in autumn, how many are primary school students and middle school students respectively?

(2) If 40 primary school students need more teachers, the same number of middle school students need more teachers than primary school students 1 teacher. 20 1 1 After entering school in autumn, according to the calculation of 3,600 new students of children of migrant workers in primary and secondary schools in this area, a * * needs to be equipped with 3 10 primary and secondary school teachers.