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

Description

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

learning target

1. Understand the concepts of linear functions and proportional functions, and the relationship between them.

2. Able to write simple linear function and proportional function expressions according to the given conditions.

What is a function?

Generally, if there are two variables x and y in a change process, and for each value of variable x, variable y has a unique value corresponding to it, then we say y is a function of x, where x is the independent variable.

Discuss the following two functional relationships:

(1)y=0.5x+3. (2)y=-0.2x+100.

What are their structural characteristics?

1. They are all equations containing two variables x and y.

2. The exponents of x and y are both linear.

3. None of the coefficients of the independent variable x is 0.

Track training

1. Among the following functions, y is a linear function of x ( )

①y=x-6; ②y= 2x²+3; ③y=2/x;

④y=x/8 ⑤y=5 ⑥y=x²

2. In the linear function y=-3x-6, the coefficient of the independent variable x is ____ and the constant term is ____.

3. If y=(m-2)x+ m² -4 is a proportional function about x, then m____; if it is a linear function about x, then m____.

Practice in class

1. (Nanchong·High School Entrance Examination) As shown in the figure, the ball moves from point A to point B. The functional relationship between speed v (m/s) and time t (s) is v=2t. If the speed of the ball when it moves to point B is 6 m/s, then the time it takes for the ball to go from point A to point B is ().

A. 1 sB. 2 sC. 3 sD. 4 s

2. A bookstore offers two ways to rent books: one is to rent books sporadically, charging 1 yuan per book, and the other is to charge a membership card, the card fee is 12 yuan per month, and the book rental is 0.4 yuan per book. Xiaobin often comes here This store rents books, if the number of books rented per month is x.

(1) Write the functional relationship between the amount y1 (yuan) payable for sporadic book rentals and the number of books x (books) rented.

(2) Write the functional relationship between the amount y2 (yuan) payable by the membership card for renting books and the number of rented books x (books).

(3) Which method of renting books should Xiaobin choose to be more cost-effective? Why?

Class summary

Through the study of this class, we need to master:

1. The concepts and relationships of linear functions and proportional functions.

2. Able to write expressions of linear functions or proportional functions based on known simple information.

Keywords: linear function courseware, linear function and proportional function courseware, Beijing Normal University edition eighth grade mathematics volume PPT courseware, eighth grade mathematics slide courseware download, linear function PPT courseware download, linear function and proportional function PPT courseware 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 download of linear function:

"Linear function and proportional function" PPT download of linear function Part 1: Knowledge points Basic knowledge point 1 Linear function 1. Which of the following functions 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|..

"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...

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Update Time: 2024-07-06

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

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