1. Images with linear function y=x- 1 fail ().

A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant

2. (Fuzhou, 2004) It is known that the image of the proportional function y=kx(k≠0) passes through the second quadrant and the fourth quadrant, then ().

A.y decreases with the increase of x, and B.y increases with the increase of x.

C. when x

D. no matter how x changes, y remains the same.

3. (Gansu, 2003) Combining the image with the proportional function y=4x, the answer is: when x >；; When 1, the value range of y is ()

a . y = 1 b . 1≤y & lt； 4c . y = 4d . y & gt； four

4. (Harbin, 2004) The straight line y=x- 1 intersects the coordinate axis at points A and B, point C is on the coordinate axis, and △ABC is an isosceles triangle, so the most eligible point C is ().

A.4 B.5 C.7 D.8

The monthly telephone bill of 5.24 yuan is 0. 15 yuan per minute, so the relationship between the monthly telephone bill y (yuan) and the call time x (minutes) is that a resident's monthly telephone bill is 38.7 yuan, and the call time is minutes. If the call time is 62 minutes, the telephone bill is yuan.

6. As shown in the figure, it shows the relationship between the sales volume of household appliances and the sales volume in a shopping mall, as well as the relationship between the sales cost and the sales volume in one day.

① At that time, the sales volume = 10000 yuan, and the sales cost = 10000 yuan. Is the mall profitable or losing money at this time?

If you sell parts in one day, the sales amount is equal to the sales cost.

③ The corresponding function expression is.

④ Write the functional expression between profit and sales volume.

7. A company is going to sign a car rental contract with individual car owners or taxi companies to reduce the cost of car use. Suppose that the car travels xKm every month, the monthly fee of individual car owners is y 1 yuan, and the monthly fee of taxi companies is y2 yuan. The functional relationship between y 1 and y2 and x is shown in the figure. Observe the image and answer the following questions.

(1) When the monthly driving distance is within what range, is it more economical to rent a company car?

(2) When the monthly driving distance is within what range, the cost of renting two cars is the same?

(3) If our company estimates that the monthly driving distance is 2300Km, which car is more cost-effective for our company to rent?

8. In Cartesian coordinate system, there are A(- 1,-1), B( 1,-1), C( 1, 1), and D (-/kloc-).

(1) Find the value of s when a =.

(2) Find the functional relationship between S and A when A changes in the real number range.

9. It is known that the image of linear function y= x+m intersects with X axis and Y axis at points A and B respectively, and the image of inverse proportional function y= intersects with point C (4, n) in the first quadrant, and the X axis of CD ⊥ is at point D. 。

(1) Find the values of m and n and make two function images;

(2) If points P and Q start from points A and C at the same time and move to D and A at the same speed along lines AD and CA, let AP = K. What is the value of K? Is the triangle with vertices A, P and Q similar to △AOB?

10. As shown in the figure, L 1 and L2 respectively represent the function images of the cost y (cost = lamp price+electricity fee, unit: yuan) and the lighting time x(h) of incandescent lamps and energy-saving lamps. Assuming that the service life of both lamps is 2 000h, the lighting effect is the same.

(1) According to the image, the functional relationships of L 1 and L2 are obtained respectively;

(2) When the lighting time is what, the cost of two lamps is equal?

(3) Liang Xiao's room is planned to be illuminated for 2 500 h. He bought an incandescent lamp and an energy-saving lamp. Please help him design the most economical way to use the lamp (give the answer directly without writing the solution process).

1 1. In order to determine the position of the car, we use the number axis Ox to represent this road, and the origin O is a zero-kilometer road sign (as shown in the figure), and make the following agreement:

① Speed v>0 means that the car is driving in the positive direction of several axes; Speed c < 0 means that the car is driving in the negative direction of several axes; Speed v=0 means that the car is stationary.

② The coordinate s>0 of the car position on the number axis indicates that the car is located on the right side of the zero kilometer road sign; The coordinate position of the car on the number axis s

According to the above agreement, the two cars driving at a constant speed on the expressway are drawn in the same rectangular coordinate system in the form of function images, as shown in the figure. Please answer the following questions:

(1) Fill in the following table about the driving situation of two cars on this expressway reflected by these two linear function images.

Direction of travel

Speed (km) h

Position before departure

Jiache

B car

(2) Can A and B meet? If you can meet, find the time of meeting and your position on the highway; If you can't meet, please explain why.

Reference answer:

1.B 2。 A 3。 D 4。 C

5.y = 0. 15x+24，98，33.36。 ① The loss is 233y 1 = X4Y = X-2.

7. (1) More than 3000 kilometers, (2)3000 kilometers, (3) individuals.

8.( 1) (2) When a≤— 1, S = 2；; When-1 < A ≤ 0, s = 2-(1+a) 2; When 0 < a ≤ 1, s = (1-a) 2; When a≥ 1, S=0. 9. (1) 3,6 (2) or

10.( 1) Let the analytical expression of the straight line L 1 = K 1x+2, and we can get k1= from the image of 17=500k 1+2.

∴y 1=0.03x+2(0≤x≤2 000)。

Let the analytical formula of the straight line L2 be y2=k2x+20,

K2=0.0 12 is obtained from the image of 26=500k2+20.

y=0.0 12x+20(0≤x≤2 000)。

(2) When y 1=y2, the cost of the two lamps is equal.

0.03x+2=0.0 12x+20, the solution is x = 1 0,000.

When the lighting time is 1 000 hours, the cost of the two lamps is equal.

(3) 2 000 hours for energy-saving lamps and 500 hours for incandescent lamps.

1 1. Solution: (1) A car: negative direction of X axis (left), 40, right side of zero kilometer road sign190km;

B train: positive direction of X axis (to the right), 80km to the left of 50000km road sign.

(2) A and B meet.

Suppose two cars meet in t hours.

So three hours later, the two cars met 70 kilometers to the right of the zero-kilometer road sign.