1. Fill in the blanks: (30 points)

1. Given that the circumference of a rectangle is 24 and one side of it is X, Then the functional relationship between its area Y and X is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

2. Plan to spend 500 yuan to buy basketball. The functional relationship between the total number of purchasable pieces n (pieces) and the unit price a (yuan) is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _, where _ _ _ _ _ _ _ is the independent variable and _ _ _ _ _ _ _.

3. In the function, the value range of the independent variable x is _ _ _ _ _ _ _ _ _ _ _. In the function y= 15-x, the value range of the independent variable x is

4. The following function: ① y = 2x2+x+1② y = 2π r3y = ④ y = (-1) x.

⑤ y =-(a+x) (A is a constant) has _ _ _ _ _ _ _ _.

5. The coordinates of the intersection of the straight line y=3-9x and the X axis are _ _ _ _ _ _ _ _ _ _ _ _ _.

6. If the straight line y = kx+b is parallel to the straight line y = 3x+4 and passes through (1, -2), then k=.

7. If it is known that the image of the linear function y =(m+4)x+m+2(m is an integer) does not pass through the second quadrant, then m =；;

8. The image of linear function y = kx+b passes through points A (0 0,2) and B (- 1, 0). If the image is translated by 2 units along the Y axis, the resolution function corresponding to the new image is:

9. The spring will stretch when it is hung on an object. According to the measurement, the length y(cm) of the spring has the following relationship with the mass x(kg) of the suspended object:

x 0 1 2 3 4 5 6 7 8

y 12 12.5 13 13.5 14 14.5 15 15.5 16

Then the functional relationship between the total length y(cm) of the spring and the mass x(kg) of the suspended object is:

Second, the choice (30 points)

1. In the same rectangular coordinate system, for the function: ① y =–x–1; ②y = x+ 1； ③y =–x+ 1； (4) y =-2 (x+ 1) image, the following statement is correct ().

A, ① and ③ B pass through the point (–1,0), ② and ④ intersect on the Y axis.

C, ① and ③ D are parallel to each other, and ② and ③ are symmetrical about X axis.

2, known function y=, when x=a, the function value is 1, then the value of a is ().

A.3 B.- 1 C.-3 D. 1

3. If the image of function y=kx passes through point P(3,-1), then the value of k is ().

a3 B- 3 c d-

4. In the following function, the image passing through the origin is ()

a . y = 5x+ 1 b . y =-5x- 1 c . y =-d . y =

5. Both point A (–5, y 1) and point B (–2, y2) are on the straight line y =–12x, so the relationship between y 1 and y2 is ().

a、y 1≤y2 B、y 1=y2 C、y 1y2

6. Function y = k (x–k) (k < 0 = no image ().

A, the first quadrant b, the second quadrant c, the third quadrant d and the fourth quadrant

7. To get the straight line y= from the image of y= x, we should put the straight line y= x ().

(a) upward translation by unit; (b) Downward translation by unit.

(c) translate 2 units up; (d) translate 2 units down.

8, a pool of water storage of 20 m3, open the valve after the outflow of 5 m3 per hour, the cubic number of remaining water in the pool after the water Q (m3) and the functional relationship between the water time t (when) is graphically represented as ().

9. it is known that the linear function y=kx+b, y decreases with the increase of x, and kb

(A) (B) (C) (D)

10. After dinner on Sunday, Xiaohong set out from home for a walk. The chart describes the functional relationship between walking time and walking time. According to the picture, the following description conforms to Xiaohong's walking scene ().

(1) Starting from home, I went to a newspaper column, read the newspaper for a while, and then went home.

(b) Start from home, go straight (non-stop) and then go home.

(c) From home, I went to a newspaper column and read the newspaper for a while.

Go for a while, then go home.

(d) Starting from home, I walked a long way to find my classmates. 18 minutes later.

Before starting to return.

Third, answer questions:

The image of linear function y = kx+b passes through points (-2,3) and (1, 3).

① Find the values of k and b; ② Judge whether (-1, 1) is on this straight line?

2. Knowing that the image of a linear function is parallel and passes through the point (2,-1), find the analytical expression of this linear function. And draw the image of linear function.

The starting price of taxis in a city within 3.5㎞ is 8 yuan. For each increase of 1㎞ and 1 yuan in the future, please write down the functional relationship between the taxi distance x㎞ and the charge y yuan, and draw a picture. How much did Xiao Ming pay for taking 10㎞, if Liang Xiao paid it?

A factory in Beijing and a factory in Shanghai made several computers at the same time. The factory in Beijing can support 10 foreign computers, and the factory in Shanghai can support 4 foreign computers. It is now decided to give Chongqing 8 sets and Hankou 6 sets. If the freight rates from Beijing to Hankou and Chongqing are 400 yuan/Taiwan and 800 yuan/Taiwan respectively, then the freight rates from Shanghai to Hankou and Chongqing are 300 yuan/Taiwan and 500 yuan/Taiwan respectively. Q:

(1) Write the functional relationship between the total transportation cost from Beijing to Chongqing X Station and transportation;

(2) If the total freight is 8400 yuan, how many units will be shipped from Shanghai to Hankou?

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