"Linear functions and linear inequalities of one variable" PPT courseware

Description

"Linear functions and linear inequalities of one variable" PPT courseware

Example memories

1 Use the graph of the function y=-2/5x+5

(1) Write the solution set of the inequality -2/5x+5>0;

(2) Write the solution set of the inequality -2/5x+5≤0.

Practice in class

1. If the graph of the function y=kx+b (k, b are constants, k≠0) is as shown in the figure, then when y<0, the value range of x is ( ).

(A)x>1

(B)x>-3

(C)x<1

(D)x<-3

2. (Guiyang City High School Entrance Examination Question) It is known that the graph of the linear function y=kx+b is as shown in the figure. When y<0, the value range of x is ( ).

(A)x<0

(B)x>0

(C)x<2

(D)x>2

Consolidate and expand

As shown in the figure, using the image of y=-2.5x+5,

(1) Find the solution of -2.5x+5=0;

(2) Find the solution set of -2.5x+5>0;

(3) Find the solution set of -2.5x+5≤0;

(4) Can you find the solution set of -2.5x+5>2.5?

(5) What other solutions to inequalities can you find?

When x > 0, what is the value range of y?

The abscissa of the intersection point of straight line y=kx+b and straight line y=2x+3 is 2, then the solution set of the inequality kx+b<2x+3 about x is ______

Expand and improve

It is known that the graphs of functions y=kx+b and y=mx intersect at point P(-3,2).

(1) Can you write the solution set of the inequality mx>0 based on the image?

(2) What is the solution set of the inequality kx+b>mx?

(3) What is the solution set of the inequality group kx+b>mx>0?

Solution: (1) x<0;

(2) x>-3;

(3) -3

Compliance in court

1. When the point on the straight line y=x-1 is above the x-axis, the range of the corresponding independent variable is ( )

A. x>1 B． x≥1 C. x<1 D． x≤1

2. It is known that the intersection point of the straight line y=2x+k and the x-axis is (-2, 0), then the solution set of the inequality 2x+k<0 about x is ( )

A. x>-2 B. x≥-2 C. x<-2 D. x≤-2

3. If the solution set of the inequality ax+1>0 (a≠0) about x is x<1, then the intersection point of the straight line y=ax+1 and the x-axis is ( )

A. (0,1) B. (-1,0) C. (0,-1) D. (1,0)

4． When the value of the independent variable x satisfies x>2, the point on the straight line y=-x+2 is below the x-axis.

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Update Time: 2024-07-13

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

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