1. Known: 2x-3y= 1. If it is considered as a function, it can be expressed as

2. it is known that y is a linear function of x, and some corresponding values are given in the table, so the value of m is

3. If the function y=2x+b passes through the point (1, 3), then b = _ _ _ _ _ _ _

4. When x = _ _ _ _ _ _ _ the function value of y=3x+ 1 is equal to the function value of y=2x-4.

5. The straight line y=-8x- 1 translates upwards by _ _ _ _ _ _ units, and the straight line y=-8x+3 can be obtained.

6. It is known that the coordinates of the intersection of the straight line y=2x+8 with the X axis and the Y axis are _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _; And two coordinates.

The area of the triangle surrounded by the axis is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

7. The original length of a spring is 12 cm, and its hanging weight cannot exceed 15 kg, and each hanging weight 1kg will be extended by 0.5cm. Write the functional relationship between the spring length y(cm) and the hanging weight x(kg) after the hanging weight is _ _ _ _ _.

8. Write a linear function expression that meets the following two conditions: (write only one) _ _. (1) y decreases with the increase of x; (2) The image passes through the point (0, -3).

9. If the function is linear, then m = _ _ _ _ _ _, and _ _ _ _ increases with the increase of.

10. As shown in the figure, where is the engineering team? Every village? In this project, the length of the completed highway is between Y (meters) and X (days).

Relational images. According to the information provided in the picture, we can know that the length of the expressway is _ _ _ _ _ meters.

165438+

G), as can be seen from the figure, as long as the luggage quality does not exceed _ _ _ _ _ _ _ _ kg, it can be checked for free.

12. square A 1B 1O, A2B2C2C 1, A3B3C3C2,? Place as shown. Point A 1, A2, A3,?

And points C 1, C2, C3,? The points B 1( 1, 1), B2 (3 3,2) are known on a straight line (k>0) and the x axis respectively.

B3 (7 7,4), then the coordinate of Bn is _ _ _ _ _ _ _.

13. As shown in the figure below, use the function image to answer the following questions:

The solution of (1) equations is _ _ _ _ _ _ _ _;

(2) inequality 2x >；; The solution set of -x+3 is _ _ _ _ _ _ _ _;

Second, multiple-choice questions (3 points for each small question, out of 24 points)

1. In the linear function y=(2m+2)x+m, y decreases with the increase of x, and its image does not pass through the first quadrant, then m.

The value range of is () China. Exam. Capital. Source. Net.

Clock. Kao. Son. Yuan. net

2. Translate the straight line y=-2x upward to get the straight line AB, which passes through points (m, n) and 2m+n=6.

Then the analytical formula of straight line AB is ().

a、y=-2x-3 B、y=-2x-6 C、y=-2x+3 D、y=-2x+6

3. In the following statements: ① The coordinates of the intersection of the straight line y=-2x+4 and the straight line y=x+ 1 are (1,1); ② linear function =kx+b, if k >；; 0, b<0, its image passes through the first, second and third quadrants; ③ The function y=-6x is a linear function, and y decreases with the increase of x; ④ It is known that the image of a linear function is parallel to the straight line y=-x+ 1 and passes through the point (8,2), then the analytical formula of this linear function is Y =-x+6; ⑤ In the plane rectangular coordinate system, the image of the function passes through the first, second and fourth quadrants ⑤ If y in the linear function decreases with the increase of x, the range of m is m >；; 3. The coordinate of point A is (2,0), point B moves on the straight line Y =-X, and when the line segment AB is the shortest, the coordinate of point B is (-1,1); 8 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 there are at most five points C that meet the conditions. The correct one is ().

A.2 B.3 C.4 D.5

4. given points (-2, y 1), (-1, y2), (1, y3) are all on the straight line y=-3x+b, then the relationship between the values of y 1, y2 and y3 is ().

a . y 1 & gt； y2 & gty3b . y 1y 1 & gt； Y2 D.y35. In the following function, the image satisfies two conditions ① ууууууууууууууууууууууу. 109 1 increases with the increase of; 2 and? Positive semi-axis of shaft

Intersection, then its analytical formula is ()

(A)у=-2？ - 1 (B)у=-2？ + 1 (C)у=2？ - 1 (D)у=2？ + 1

6. It is known that y-2 is proportional to X. When x=2 and y=4, if point (m, 2m+7),

On the image of this function, the value of m is ()

A.-2b 2c-5d 5

7. The personal monthly income of a company's marketing department is equal to its monthly sales.

As can be seen from the information given in the figure, marketers

When there is no sales.

When the income is ()

3 10 yuan, 300 yuan, 290 yuan and 280 yuan

8. If the image of function y=kx+b is shown in the figure, the image of function y=2kx+b may be ().

Iii. Answering questions (***50 points)

1.( 10) There are two piles of rice bowls with the same specifications neatly stacked on the desktop. Please answer according to the data information given in the picture.

Question: (1) Find the height y(cm) and the number x (no

It is required to write the range of the independent variable x);

(2) If there are 12 rice bowls on the desktop, pile them neatly and find out their height.

2.( 10 point) The image of the known linear function passes through two points, A(-2, -3) and B( 1, 3). (1) Find the analysis of this linear function.

Type; ⑵ Try to judge whether the point P(- 1, 1) is on the image of this linear function. ⑵ Find the circle of this function with X axis and Y axis.

The area of a triangle.

3.( 10) shoes? Shoe size? And shoe length (cm). How many groups are there in the table below? Shoe size? Corresponding value of shoe length conversion: [Note:? Shoe size? Is a number representing the size of shoes]

Shoe length (cm) 16 19 2 1 24

Shoe Size (No.) 22 28 32 38

(1) Let the shoe length be x,? Shoe size? For y, try to determine which function image the point (x, y) is on.

(2) Find the functional relationship between x and y;

(3) If someone wears a size 44? Shoe size? Dear shoes, how long are his shoes?

4.( 10) In the earthquake relief, in order to ensure the safety of grain storage, a county grain bureau decided to transfer all the grain from warehouses A and B to warehouses A and B with strong earthquake resistance. It is known that the grain in warehouse A is 100 tons and that in warehouse B is 80 tons, while the grain in warehouse A is 70 tons and the grain in warehouse B is 1 10 tons. From a and b to a and B.

The distance and freight of the warehouse are as follows (in the table? Yuan/ton? Km represents the RMB required for transportation of grain per ton 1 km).

(1) If warehouse A transports tons of grain to warehouse A, please write the functional relationship between the total freight (yuan) and (tons) for transporting grain to warehouse A and warehouse B.

(2) When warehouse A and warehouse B transport several tons of grain to warehouse A and warehouse B, what is the most economical total freight?

5.( 10) A vegetable processing factory undertakes the task of exporting vegetables, and a batch of vegetable products need to be packed into cartons with certain specifications. There are two options for supplying this kind of cartons:

Option 1: Customized purchase from carton factory, with the price of 4 yuan per carton;

Scheme 2: The vegetable processing factory rents machines to process and manufacture this kind of cartons, and the machine rental fee is charged according to the number of cartons produced. The factory needs a one-time investment of 16000 yuan for machine installation, and the processing cost of each box is 2.4 yuan.

(1) If cartons of this specification are needed, please write down the functional relationship between the cost (yuan) of buying cartons from carton factory and the cost (yuan) of processing and manufacturing cartons in vegetable processing factory.

(2) Suppose you are the decision maker, which scheme do you think should be chosen? And explain why.

Reference answer:

I. Fill in the blanks 1.2. -7 3. 1 4.-5 5.46.(-4,0), (0,8), 16.

7.Y = 0.5x+ 128. Omitted 9. 1, increasing10.50411.2012.13. ( 1) X = 1

Second, the multiple-choice question1.b2.d3.b4.a5.d6.c7.b8.c.

Third, answer questions.

1.( 1)y = 1.5x+4.5(2)22.5

2.( 1) y=2x+ 1 (2) is not in (3)0.25

3. Solution: (1) linear function.

(2) setting.

The solution can be obtained from the meaning of the problem.

? (x is some discontinuous values. Generally, x is 16, 16.5, 17, 17.5,? , 26, 26.5, 27, etc. )

Note: only the values of k and b are needed, and there is no penalty for not writing in the last step.

Answer: The length of this person's shoes is 27cm.

4. The solution (1) is as follows:

= Among them

(2) In the above linear function

? Decrease with the increase of …

? When =70 tons, the total freight is the least.

The most economical total freight is:

Answer: The total freight for transporting 70 tons of grain from warehouse A to warehouse A, 30 tons from warehouse B and 80 tons from warehouse B to warehouse B is at least 37 100 yuan.

5. Solution: (1) The cost of customized carton purchase by carton factory:

The cost of processing cartons by vegetable processing plants themselves is:

(2) ,

By, get:, get:.

When,,

Scheme 1: The cost of customized purchasing cartons by carton factory is low.

When,,

Scheme 2, the cost of processing cartons in vegetable processing plants is low.

When,,

Both schemes are ok, and the cost of both schemes is the same.