"Function" One-time function PPT courseware 4

Description

"Function" One-time function PPT courseware 4

learning target

1. The concept of function;

2. Several representation methods of functions;

3. Experience functional relationships in life;

think:

1How many variables are there in each problem?

2. What are the connections between variables in the same problem?

Question 1: The relationship between driving mileage s (kilometers) and driving time t (hours) is: S=60t.

Question 2 The relationship between box office revenue y yuan and the number of tickets sold x: y=10x

When X=150, y=1500;

When X=205, y=2050;

induction

1 There are ( ) variables in every change process.

2 Two variables are related to each other. When one variable determines a value, the other variable also ( ).

The concept of function:

In a change process, if there are two variables x and y, and for every certain value of x, y has a unique corresponding value, then we say that x is an independent variable and y is a function of x.

If y=b when x=a, then b is called the value of the function when the value of the independent variable is a.

Function concept understanding

(1) In a process of change

(2) There are two variables x and y

(3) For every certain value of x, y has a unique certain value corresponding to it

Thinking: 1. S=60t; 2. y=10x; 3. L=10+0.5m

Which of the above three questions are independent variables and which are functions of independent variables?

Three representations of functions

1. Like 1. S=60t; 2. y=10x; 3. L=10+0.5m. The functional relationship is given by mathematical formulas (called analytical method)

2. The functional relationship of the previous physical examination and electrocardiogram is given using images (called image method)

3. The functional relationship of Liu Xiang’s competition results is given in a table (called the list method)

practice

1. Write the relational expressions in each of the following questions and point out the independent variables and functions.

(1) The area S of the square changes with the side length x S=x2

(2) The cultivated land area of ​​Xiushui Village is 106m2. The per capita cultivated land area y of this village changes with the change of the number of people x, y=106/x

(3) Changes in the interior angle and degree y of a regular polygon with the number of sides n y= (n-2) ×180°

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Update Time: 2024-10-03

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 2 industry PPT template

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