(1) Fill in carefully.

1. In the function relation v=, it is a constant and a variable.

2. The value range of function y= independent variable x is.

3. A fruit wholesale market stipulates that when the wholesale fruit is not less than 100 kg, the wholesale price is 2.5 yuan per kg. If you bring cash to the market to buy apples, you can buy them at the wholesale price, which is less than 3,000 yuan. If the apple purchased is X Jin and the remaining cash after Xiao Wang's payment is Y Yuan, the functional relationship between Y and X is, and the range of independent variable X is.

4. It is known that the upper base length of trapezoid is x, the lower base length is 15 and the height is 8.

(1) The relationship between the trapezoidal area y and the length x of the upper bottom surface is as follows:

(2) When x increases 1, the value of y will increase (fill in the change size);

5. Write a proportional function through the first and third quadrants.

6, known function, when, is a linear function; When, it is a proportional function.

7. If the coordinate of the intersection of a straight line and a straight line is (,1), the solution of the equations is.

8. As shown in the figure, if the coordinate of the intersection of a straight line and a straight line is (-3,2), then when,; When,; When.

(2) Choose one carefully.

1, the area s of a circle is a function of radius, and the relationship is S=πr2. When r=2, the function value of s is ().

A.2πb。 4C。 ▁d。 8π

2. Given a rectangle with a circumference of 30cm, one side is ycm and the other side is xcm, and the functional relationship between y and x is ().

A.y = 15(0 & lt； x & lt 15)b . y = 15(x & gt； 0)

C.y = 15(x & lt； 15)d . y = 15(0 & lt； x≤ 15)

3. Two students, A and B, start from place A and arrive at place B by bike on the same road. The functional relationship between their distance S (km) from the starting point and driving time T (hours) is shown in the figure. According to the information provided on the map, there are the following statements: (1) They all drove18km; (2) A stayed for 0.5 hours on the way; (3) B starts 0.5 hours later than A; (4) After meeting, the speed of A is less than that of B; (5) Party A and Party B arrive at the destination at the same time.

Among them, the statement that conforms to the image description is ()

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

The distance between Ding Ding's home and school is (kilometers). He ran from home to school at a uniform speed, and then at a uniform speed (

The fruit trees in mango orchard are covered with ripe mangoes. A breeze blew and a ripe mango fell from the tree. Among the following four images, the image that best shows the relationship between speed and time during the falling of mango is ().

6, two linear functions and images in the same rectangular coordinate system is roughly ().

7. It is known that the function value of linear function increases with the increase of. If the image passes through the first, second and third quadrants, the value range of () will be.

A, B, C, D,

8. The coordinate of the intersection of a straight line and an axis is (-5,0), and the value range of is ().

A, B, C, D,

(3) patient calculation.

1 is known to be proportional to, and when = 1, =5.

The functional relationship between (1) and;

(2) Drawing the image of the function

(3) If the image axis intersects at point A and point B, find the area of △AOB.

2. The known function finds the resolution function through points (-4,9) and (6,3).

(4) Practical application

1. The cost y (yuan) of holding a table tennis match in a certain place consists of two parts: one part is the fixed cost b such as renting a venue, and the other part is directly proportional to the number of participants. When x=20, y= 1600, when x=30, y=2000.

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

(2) If there are 50 athletes participating in the competition and all the expenses are shared by the athletes, how much does each athlete need to pay?

2. Sanjiang Vocational Middle School needs to print enrollment publicity materials, and there are two printing houses to choose from.

A printing factory proposed: 0.2 yuan's printing fee and 500 yuan's plate-making fee are charged for each material;

The Second Printing Factory proposed that 0.4 yuan should pay the printing fee for each material, not the plate-making fee.

(1) Write the functional relationship between the charge (yuan) of two printing plants and the printing quantity (copies) respectively;

(2) Draw the images of these two functions in the same coordinate system;

(3) If Sanjiang Vocational Middle School paid 2000 yuan to buy printed materials, which printing factory would you choose and why?

(5) Exploration and innovation

1, as shown in Figure 7, one day at 6 o'clock in the morning, Mr. Yan set off from school, took a bus to the market to attend a meeting, arrived at the meeting place on time at 8 o'clock, and returned to school at noon 12. During this period, the relationship between his trip S(km) (that is, the distance from school) and time (h) can be represented by the dotted line in Figure 4. According to the related information provided in fig. 4,

(1) How far is the meeting place from the school?

(2) Please use short sentences to describe Teacher Yan's activities from 6 am to 12 noon.

2. If the temperature of plants is lower than 0℃ for more than 3 hours, preventive measures should be taken. The following figure is the meteorological information of this area released by the Meteorological Observatory on a certain day, which predicts the temperature change with time from 0: 00 to 8: 00 the next day, in which the images from 0: 00 to 5: 00 and from 5: 00 to 8: 00 meet a functional relationship respectively (Figure 5). Please judge whether the plant needs to take anti-frost measures the next day according to the information in the picture, and explain the reasons.

(VI) Scheme design

Company A plans to transport 100 tons of garlic seeds from Party A, Party B and Party C to other places with10 vehicles. According to the regulations, each car can only contain one kind of garlic, and it must be filled with at least one car of garlic.

(1) suppose that car x is used to transport a kind of garlic and car y is used to transport b kind of garlic. According to the information provided in the following table, find the functional relationship between y and x, and find the value range of independent variable x;

(2) Let the profit of this transportation be M (100 yuan), and find the functional relationship between M and X and the maximum profit. At this time, arrange the corresponding vehicle allocation scheme.

Garlic varieties a, b and c

Weight of each vehicle (ton) 8 10 1 1

Profit per ton of garlic transportation (100 yuan) 2.2 2. 1.2

Reference answer:

( 1) 1，，r，v； 2、 ; 3、 , ; 4、 ,4; 5, the answer is not unique, such as; 6、 , ; 7、 ; 8、 , ,

.

(2) 1，d； 2、A； 3、C； 4、D； 5、C； 6、B； 7、C； 8. a.

(3) 1, (1) According to the meaning of the question, set

When = 1, =5 is substituted, and the solution is,

∴ and is.

(2) As shown on the right,

(3)S = = =

2, according to the meaning of the question, so the resolution function is.

4. 1, (1) hypothesis, according to the meaning of the question, the solution,

So the functional relationship between y and x.

(2) Substituting into the analytical formula, we get

2800 50=56 (yuan)

2、( 1) , ; (2) omit the image; (3) According to the image, it can be concluded that a factory has a large number of prints.

5. 1, (1) 60km; (2) You can describe the activity according to your own ideas. For example, the teacher started to take the bus at home at 6 am, just in time for the rush hour. There is a traffic jam on the road. After waiting for nearly 30 minutes on the road, he finally arrived at the meeting place on time at 8 o'clock by taxi. He gave a wonderful speech at the meeting place for three hours. He took the high-speed train at 1 1 and got home at 12.

2. According to the image of piecewise function, ① it is a linear function from 0 to 5, its analytical formula is y= x+3, and the intersection point with x is (0); ② From 5 o'clock to 8 o'clock, it is a linear function, and its analytical formula is y= x-, and the intersection with x is (,0). The time when the temperature is below 0℃ is:-= (hours), because hours >; 3 hours, so anti-freezing measures should be taken.

6.( 1) According to the meaning of the question, if a kind of garlic is transported by X car and B kind of garlic is transported by Y car, then the number of cars transporting C kind of garlic is (10-x-y), so there are 8x+1 0y+1.

(2)M = 2.2 8x+2. 1 10y+2 1 1( 10-x-y)= 2 10- 1.4x .∫- 1.4 & lt； 0, ∴y decreases with the increase of x, and when x= 1, m has the maximum value. At this time, m = 210-1.4 = 208.6 (100 yuan), that is, the maximum profit is 20860 yuan. The corresponding transportation allocation scheme is: 65438.