"Linear function and proportional function" PPT download of linear function

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"Linear function and proportional function" PPT download of linear function

Part One Content: Basic Knowledge Key Points

Knowledge point 1: linear function

1. Among the following functions, which one is a linear function (B)

A.y=x3 B.y=-2x+1

C.y=2/x D.y=2x2+1

2. If the function y=(m-1)x|m|-5 is a linear function, then the value of m is (B)

A.±1 B.-1 C.1 D.2

3. Places A and B are 880 kilometers apart. A car drives from place A to place B at an average speed of 110 kilometers per hour. After t hours, the car is s kilometers away from place B. Then the distance between s and t The relational expression is s=880-110t, and the value range of t is 0≤t≤8.

Knowledge point 2 Proportional function

4. (Adapted) Among the following relationships between variables, one variable is a proportional function of the other variable (B)

A. The area S of the square changes as the side length x changes.

B. The perimeter C of the square changes as the side length x changes.

C. There is 10 L of water in the water tank, and the water is discharged at a flow rate of 0.5 L/min. The remaining water volume V (L) in the water tank changes with the change of the water discharge time t (min).

D. The length a of one side of a triangle with an area of ​​20 changes with the change of the height h on this side.

PPT on linear functions and proportional functions, part 2: improvement of comprehensive capabilities

7. The following functions: ①y=πx; ②y=2x-1; ③y=1/x; ④y=2-1-3x; ⑤y=x2-1. Among them are linear functions (B)

A. 4 B. 3

C.2 D.1

8. A teacher leads x students to visit the zoo. It is known that each adult ticket is 30 yuan and each student ticket is 10 yuan. Assume that the total cost of the tickets is y yuan, then the functional relationship between y and x is (A)

A.y=10x+30 B.y=40x

C.y=10+30x D.y=20x

9. Uncle Li wants to enclose a rectangular vegetable garden. Use a long enough wall on one side of the vegetable garden and fence the other three sides. The total length is exactly 24 meters. The vegetable garden to be enclosed is a rectangle ABCD as shown in the figure. Assume The length of side BC is x meters and the length of side AB is y meters. Then the functional relationship between y and x is (A)

A.y=-1/2x+12 B.y=-2x+24

C.y=2x-24 D.y=1/2x-12

10. (Textbook Motif Variation) Within the elastic limit, the length of the spring y (cm) is a linear function of the mass of the hanging object x (kg). A spring is 15 cm long when no object is hung; when the mass of the hanging object is When the mass of the hanging object is 8 kg, the length of the spring is 20 cm. When the mass of the hanging object is 8 kg, the length of the spring is 23 cm.

PPT on linear functions and proportional functions, the third part: Expansion, exploration and breakthroughs

11. We know that for every 1 km altitude increase, the temperature drops by 6 ℃. At a certain moment, the ground temperature in Yiyang is 20 ℃, and the temperature x km above the ground is y ℃.

(1) Write down the functional relationship between y and x.

(2) It is known that Yiyang Biyun Peak is about 500 m above the ground. What is the approximate temperature at the top of the mountain at this time?

(3) At this moment, there is a plane flying over Yiyang. If the instrument in the cabin shows that the temperature outside the plane is -34 ℃, what is the height of the plane from the ground?

Solution: (1) The functional relationship between y and x is y=20-6x(x≥0).

(2) According to the question, when x=0.5, y=20-6×0.5=17.

Answer: The temperature on the top of the mountain at this time is about 17 ℃.

(3) When y=-34 is obtained from the question, -34=20-6x, the solution is x=9.

Answer: The height of the aircraft from the ground is 9 km.

Keywords: Free download of Beijing Normal University edition eighth-grade mathematics PPT courseware for the first volume, linear function and proportional function PPT download, linear function PPT download, .PPT format;

For more information about the PPT courseware of "Larvic Functions and Proportional Functions", please click on the PPT tab of "Linear Functions and Proportional Functions".

"Linear Functions and Proportional Functions" PPT teaching courseware for linear functions:

"Linear Functions and Proportional Functions" The first part of the linear function PPT teaching courseware content: Learning objectives: linear functions, proportional functions, the relationship between linear functions and proportional functions, determine the relationship between linear functions in practical problems... ... ... linear functions and proportional functions ..

"Linear function and proportional function" PPT of linear function:

"Linear function and proportional function" PPT of linear function Part 1: Learning objectives 1. Master the concepts of linear function and proportional function. (Key points) 2. Be able to find the relational expression of linear function according to conditions. (Difficulty) ... ... ... linear function and proportional...

"Linear function and proportional function" PPT courseware of linear function 2:

"Linear Function and Proportional Function" Linear Function PPT Courseware 2 Review and Thinking 1. What is a function? In a certain change process, there are two variables x and y. If an x ​​value is given and a y value is determined accordingly, then we call it y is a function of x where x is the independent variable y is the dependent variable..

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Update Time: 2024-11-19

This template belongs to Mathematics courseware Beijing Normal University Edition Eighth Grade Mathematics Volume 1 industry PPT template

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