"Function" PPT

Description

"Function" PPT

Part One: Learning Objectives

1. Understand the independent variables, functions and function values ​​in variables, and be able to determine the value range of independent variables in simple functions;

2. Experience and explore the concept of functions, and understand the basic ideas of change and correspondence;

3. By exploring the changing laws, you can feel the beauty of mathematics.

Function PPT, the second part: a small test of skills

1. Complete the following questions and point out the variables and constants.

①Xiao Ming goes to the store to buy exercise books, each priced at 2 yuan. The relationship between the total number of books x (books) purchased and the total amount y (yuan) can be expressed as __________;

②The relationship between the circumference C and the radius r of a circle is __________________;

③The relationship between the sum of the interior angles S of an n-sided polygon and the number of sides n___________;

④The vertex angle of an isosceles triangle is x degree, then the degree of base angle y is expressed as ___________ using a formula containing x.

Explore research

1. Xiao Ming goes to the store to buy exercise books. The unit price is 2 yuan each, and the total number of books purchased is x (books).

The relationship expression with the total amount y (yuan) can be expressed as ________;

2. The relationship between the circumference C and the radius r of a circle is ______________;

3. The relationship between the sum of the interior angles S of an n-sided polygon and the number of sides n ______________;

4. The vertex angle of an isosceles triangle is x degree, then the degree of base angle y is expressed by a formula containing x as ______________.

Function PPT, the third part: Self-challenge

1. Determine whether the variable y in the following questions is a function of x?

(1) y and x in y = 2x;

(2) y and x in y= x²;

(3) y and x in y²=x;

(4) In the following demographic table of my country, the year and population can be recorded as two variables x and y. Does each determined year (x) in the table correspond to a determined population (y)? ?

Function PPT, Part 4: Analysis of Examples

Example 1 There is 50L of gasoline in the fuel tank of a car. If no more gas is added, the remaining fuel volume y (unit: L) in the fuel tank will decrease with the increase of the mileage x (unit: km). The average fuel consumption is 0.1L/km.

(1) Write an expression expressing the functional relationship between y and x.

(2) Point out the value range of the independent variable x

(3) How much fuel is left in the fuel tank when the car travels 200 km?

Solution: (1) The functional relationship is: y= 50-0.1x

(2) From x≥0 and 50-0.1x ≥0, we get 0 ≤ x ≤ 500

∴The value range of the independent variable is: 0 ≤ x ≤ 500

(3) When x = 200, the value of function y is: y=50-0.1×200=30

Therefore, when the car travels 200 km, there is still 30L of oil in the fuel tank.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, function PPT download, .PPT format;

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Update Time: 2024-09-30

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 2 industry PPT template

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