20 10 which teacher wrote the math test paper for the senior high school entrance examination in Qiandongnan?

Qiandongnan prefecture 20 10 junior high school graduation entrance examination.

Mathematics Test

The total score of this paper is 150. Examination time is 120 minutes)

Precautions for the exam:

1. When answering questions, be sure to fill in your name and admission ticket number at the designated position on the answer sheet.

2. When answering multiple-choice questions, be sure to black out the answer label of the corresponding question on the answer sheet with 2B pencil. If you need to change it, clean it with an eraser, and then choose to apply other answer labels.

3. When answering multiple-choice questions, you must write the answer in the designated position on the answer sheet with a 0.5mm black pen.

All questions must be answered on the answer sheet, and the answers on the test paper are invalid.

5. After the exam, return the test paper and the answer sheet together.

1. Multiple choice questions: (4 points for each small question, ***40 points. There is only one correct answer to every question. Please use 2B pencil to black the label of the corresponding question in the title column of the answer sheet. )

1. The following operations are correct.

A.= 2 b .-(X- 1)=-X- 1 c . = 9d .-|-2 | =-2

2. If it is a fraction, the value of x is

A.3 or -3 B. -3 C. 3 D. 9

3. Observe the picture below.

They are arranged according to certain rules. According to this rule, the "★" of the 20th graph has

A. 57 BC to 60 BC

4. In rectangular coordinate system, if the image with analytical formula is translated by two units to the left along the axis, and then translated by one unit down along the Y axis, the analytical formula of the image at this time is

A.B.

C.D.

5. Set it at an acute angle. If it is =3K-9, the value range of k is

A.b. C. D。

6. As shown in the figure, if it is the height on the hypotenuse, the ratio of the area to the area.

The value of is.

A.B.

C.D.

7. Fold a rectangle with a width of to the shape shown in the figure, so the length of the crease is

A. 4 D BC

8. If the solution of the equation is satisfied, the value range of is

University of California, Los Angeles or

9. On the root of a quadratic equation with one variable, it is

A. there are two equal real roots. There is no real source.

C. there are two unequal real roots. C. the location of the root cannot be determined.

10. Teacher Zhang of Kaili No.1 Middle School put a cup of 100 boiling water on the asbestos net and cooled it naturally when doing experiments in the chemistry laboratory. On the right is this glass of water.

According to the information shown in the picture, the following statement is incorrect.

A It took 6 minutes for the water temperature to gradually drop from 100 to 35.

B the water temperature at 14 minutes after the start of refrigeration is 15.

C. The indoor temperature of the laboratory is 15.

D. naturally cooling the water to 10.

Fill in the blanks: (4 points for each small question, 32 points for * * *. Please write the answer directly in the corresponding position on the answer sheet with a signature pen or a pen with 0.5 mm black ink. )

1 1.

12. Simplify.

13. After the factors other than the root sign are moved into the root sign, the result is.

14. If and =, then.

15. Quadratic function, when, the value range is.

16. There are red, yellow and green traffic lights at the intersection of Qingjiang sentry box in Kaili City. Teacher Pan from Kaililang Middle School drives to school through the intersection every day. The probability that he meets a red light at this intersection is, the probability that he meets a yellow light is, so the probability that he meets a green light is (the result is reserved).

17. As shown in the figure, the curve is the branch of the inverse proportional function in the second quadrant, the second quadrant is the coordinate origin, the point is on the curve, and the axis and area are 2, so the analytical formula of this curve is.

18. As shown in the figure, it is a point on the diameter extension line, tangent to,, and then.

3. Answer the questions. (7 small questions, ***78 points. Please write the answer directly on the answer sheet with a signature pen or a pen with 0.5 mm black ink. )

19.(8 points) Factorization in the real number range:

20.( 12 point) is called an acute angle, and its value is.

2 1.(8 points) As shown in the figure, the section radius of the horizontal cylindrical water pipeline is 0.6, in which the water level is 0.3, and the area of the water part on the section is found (the result is reserved).

22.( 12 point) As shown in the figure, make intersections with the radius of the edge, at point, point, in, in, in.

Prove:

23.( 10) This is a two-person roulette game. Prepare three roulette tables that can rotate freely. Party A and Party B rotate the roulette table, and when the pointer stops, Party B records the numbers. When three numbers are the same, Party A wins, otherwise, Party B wins.

Please draw a tree diagram to see if the game is fair and explain the reasons.

24.( 14) An enterprise in Kaili plans to produce a new product in 20 10. The following is the information provided by the relevant departments of the enterprise:

Human Resources Department: No more than 600 front-line workers produce new products on 20 10. The annual working time of each person is planned to be 2200 hours.

Sales department: 20 10 observation products, each piece takes an average of 80 hours, and each piece needs to be equipped with four main components.

Supply Section: At the end of 2009, there are 8,000 major parts in stock, and another 40,000 major parts can be purchased in 20 10.

According to the above information, how many pieces will be produced in 20 10? How many workers can be transferred to develop other new products to reduce the backlog?

25.( 14 point) As shown in the figure, in the plane rectangular coordinate system, it crosses the parabola.

(1) Find the analytical formula of parabola;

(2) Whether there are two points on the parabola (on the right side of the symmetry axis), so that the quadrilateral becomes a square; if so, find the coordinates of the point; If it does not exist, please explain why.