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Choose one carefully first (this big question is ***8 small questions, each with 3 points and ***24 points).

1. Given that point m (-2,3) is on a hyperbola, then the following points must be on a hyperbola: ... ().

A.(3，2)b .(-2，-3 ) C.(2，3)d .(3，-2)

2. On the number axis, the solution set of inequality group indicates that it is ................................... ().

3. Calculation: ........................................ ()

A.B. C. D。

4. If the score is restored to the original value, the value of the score () A. Change it to the original B. Enlarge it by 2 times C. Reduce it by 2 times D. Don't change it.

5. The images of linear function y=kx+b and inverse proportional function are as shown in the figure, so the following statement is correct … ()? A. their function value y increases with the increase of x. B. their function value y decreases with the increase of x? C. the values of their independent variable x are all real numbers d.k < 0.

6. There are three points on the inverse proportional function image,,, where,, and the size relationship is ................................................... ().

A.B. C. D。

7. As shown in the figure, in △ABC, P is a point above AB, then under the following conditions (1) ∠ ACP = ∠ B; (2)∠APC =∠ACB； (3)AC2 = Associated Press? AB； (4)AB？ CP=AP？ CB, where the condition that makes △APC and △ACB similar is ... ()

a， 1 b，2 c，3 d，4

Question 5, question 7, question 8

8. Beauty is a feeling. The closer the ratio of lower body length to height is to 0.6 18, the more beautiful it is. As shown in the figure, the height of a woman is 165cm, and the ratio of the lower body length x to the height l is 0.60. In order to achieve the best possible effect, the height of high heels she should wear is about ..................................................

a . 4 CMB . 6 CMC . 8cm d . 10cm

9. Define a new operation: a ⊕ b = then the image of the function y = 3 ⊕ x is roughly ().

Second, fill in carefully (this big question * * 10, 10 is empty, with 2 points for each space and 20 points for * * *).

10. The sum of all positive integer solutions of inequality is equal to.

1 1. If the fractional equation about has no solution, the value of is.

12. Please write a function of the image in the second and fourth quadrants:.

13. The known point A is the point on the inverse proportional function image. If perpendicular to the axis, the vertical feet are, and the area of is.

14. If the distance between AB is 8cm on the map with the scale of120000, then the actual distance between AB is km.

15. At a certain moment, the shadow length of Xiaoli whose height is 165cm is 55cm. At this time, Xiaoling measured the shadow length of the flagpole at the same position of 5m, so the height of the flagpole was m 。

16. Students from Class A and Class B took part in tree planting activities. It is known that Class A plants 6 more trees every day than Class B. It takes the same number of days to plant 80 trees in Class A and 70 trees in Class B.. If Class A plants trees every day, the equation can be listed according to the meaning of the question.

17. It is known that the solution of the equation is positive, so the value range of m is.

18. As shown in the figure, the image of the linear function intersects with the axis, and the axis intersects at point A and point B,

The image of the inverse proportional function intersects at c and d, and passes through c and d respectively.

Axis, the axis is vertical, the vertical feet are e and f, and CF and DE are connected. There are four conclusions as follows:

① ; ②△DCE?△CDF； ③ The areas of △ cef and △DEF are equal;

④△AOB∽△FOE .. The correct conclusion is.

(Fill in the serial numbers of all the conclusions you think are correct) DrawingNo. 18

19. as shown in the figure, point a is on the hyperbola, point b is on the hyperbola, AB∑X axis, and c and d are on the x axis. If the quadrilateral ABCD is a rectangle, its area is.

Question 17, question 18

20. As shown in the figure, figure 1 is a regular triangular cardboard with a side length of 1 and an area of S 1. Cut a regular triangular cardboard with a side length of 1 2 along the bottom edge of Figure1to get Figure 2, and then cut a smaller regular triangular cardboard along the same bottom edge (that is, its side length is the side length of the regular triangular cardboard cut earlier).

Third, answer carefully (this big question ***5 small questions, out of 32 points) 2 1. (Solving inequality (group) requires that the solution is set on the number axis.

( 1) (2)

22. (This question is 2 small questions, each with 4 points. )

(1) calculation:

23. (The full mark of this question is 6) First simplify the algebraic expression, and then select the appropriate integer from the interval for evaluation.

22. (The full mark of this question is 8) Xiaoming and Xiaoying play dice, and the six faces of the dice are marked with the numbers 1 to 6 respectively. The rules are as follows:

(1) Before the competition, each person chooses a number;

(2) Throw two even dice at the same time;

If the sum of the points of two dice thrown at the same time is the same as the number chosen by who, then who wins.

(1) List all possible results of throwing two even dice at the same time by list method or tree diagram:

(2) The number chosen by Xiao Ming is 5, and the number chosen by Xiao Ying is 6. If you join the game, what number would you choose to make your chances of winning more than them? Please explain the reason.

24. (The full mark of this question is 4) A driver drives a car from place A to place B, and travels at an average speed of 80 km/h for 6 hours to reach his destination. (1) When he returns at the same speed, find the functional relationship between car speed v(km/h) and time t(h);

(2) If it takes 8 hours for the driver to return at a uniform speed, find the speed when returning. www.xkb 1.com

As shown in the figure, in the trapezoidal ABCD, ad∨BC, ∠ D = 90, BE⊥AC, E is the vertical foot, and AC = BC.

(1) verification: CD = be.

⑵ If AD=3 and DC=4, find AE.

25. (The full mark of this question is 6) As shown in the figure, in △ABC and △ADE, ∠BAD=∠CAE, ∠ ABC = ∠ ade.

Find a pair of similar triangles in the picture and explain the reasons.

Fourth, think about it (this big topic is ***2 small questions, out of 22 points).

26. (The full mark of this question is 10) The original 600 old desks in a school are in urgent need of maintenance. The original plan was independently undertaken by Construction Team A and completed within the specified time. However, after half of the completion of construction group A, due to the requirement of the competent department to shorten the construction period, construction group B took over, which shows that the work efficiency of construction group B is twice that of construction group A, and the project was completed five days ahead of schedule.

(1) Find the average number of desks maintained by construction group A every day;

⑵ The school cleared 360 desks in need of maintenance and handed them over to Construction Team A, which worked for 2 days. In order not to exceed the construction period of 8 days, it was decided to start from the third day to improve work efficiency. In this way, it will take construction team A at least 3 days to complete the whole maintenance task. If Construction Team A maintains the desk every day on average after improving work efficiency, the range of values can be found.

(3) If Team A charges 3 yuan for repairing an old desk and Team B charges 5 yuan for repairing an old desk, then a number of existing old desks are in urgent need of maintenance. According to the requirements of the Planning Department, an average of 100 desks need to be repaired every day, which is completed through negotiation between Team A and Team B. Under the condition of (2), how many old desks can Team A repair every day to minimize the total cost of daily maintenance? What's the minimum charge? Why?

27 (full mark of this question 12) Reading comprehension:

For any positive real numbers A and B, ∫≥0,

∴ ≥0,

∴≥, only when a = b, the equal sign holds.

Conclusion: In ≥ (a and B are both positive real numbers), if ab is a constant value P, then A+B is ≥,

Only when a = b, a+b has the minimum value.

According to the above, answer the following questions: xkb 1.com.

(1) If m > 0, there is a minimum value only when m =;

If m > 0, 2 has a minimum value only when m =.

(2) As shown in the figure, it is known that the straight line L 1: intersects the X axis at point A, and another straight line L2 passing through point A intersects the hyperbola at point B (2, m), so as to find the analytical expression of the straight line L2.

(3) Under the condition of (2), if point C is any point on the hyperbola, let the intersection line L/kloc-0 of CD∨y axis be at point D, and find the quadrilateral area surrounded by points A, B, C and D when the line segment CD is shortest.