"Linear functions and linear equations of two variables" PPT courseware

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"Linear functions and linear equations of two variables" PPT courseware

inquiry learning

(1) Write the linear equation 3x-2y=5 in the form of a linear function y=3/2x-5/2

(2) Draw the graph of the linear function y=3/2x-5/2

(3) Draw the points with these sets of solutions as coordinates on the coordinate system. What did you find?

(4) Are the points with coordinates of all solutions of the linear equation 3x-2y=5 on the graph of the linear function y=3/2x-5/2?

in conclusion:

The points whose coordinates are the solution of the linear equation of two variables are on the corresponding function graph. In turn,

The coordinates of points on the graph of a linear function are solutions to the corresponding linear equations of two variables.

That is: linear equation of two variables (number)

correspond

The corresponding graph of a linear function is a straight line (shape)

In conclusion:

Find the solution to a system of linear equations in two variables

It is to find the coordinates of the intersection point of the image of the two linear equations corresponding to the linear function.

is the coordinate that determines the intersection of two straight lines.

It is to find the solution to a system of linear equations in two variables consisting of the expressions of two straight lines.

Activity Three: Consolidation Practice

1. The points with the solution of equation 2x-y=1 as coordinates are all on the image of linear function y=2x-1.

2. The solution of the equation system x-y=4 3x-y=16 is x=6 y=2. It can be seen that the image of the linear function y=x+4 and y=-3x+16 must have an intersection point, and the intersection coordinate is (6,2).

3. Based on the following graph, can you tell which solution of the system of equations it represents? What is this solution?

summary

The solution to a system of linear equations of two variables corresponds to the coordinates of the intersection of the graphs of linear functions corresponding to these two equations.

Therefore:

Graphical solution to a system of linear equations in two variables.

Write functions, draw graphs, find intersections, and draw conclusions

Take a quiz

1. If the coordinates of the intersection point of straight lines y=3x+6 and y=2x-4 are (a, b), it is the solution of the system of equations ______ ( )

A. y-3x=6 2y+x=-4 B. y-3x=6 2y-x=-4 C. 3x-y=6 3x-y=4 D. 3x-y=6 2x-y=4

2. Solve the equation system x+y=15, x-y=7 and the solution is ________, then the coordinates of the intersection of the straight lines y=-x+15 and y=x-7 are _______.

3. Straight line AB∥x axis, and the coordinates of point A are (1, -2), then the ordinate of any point on straight line AB is -2. At this time, we call straight line AB y=-2, then straight line y=3 and The intersection point of the straight line x=2 is ( )

A. (3, 2) B. (2, 3) C. (-2, -3) D. (-3, -2)

Keywords: Teaching courseware of linear functions and linear equations of two variables, Qingdao edition eighth grade mathematics volume 2 PPT courseware download, eighth grade mathematics slide courseware download, linear functions and linear equations of two variables PPT courseware download, .PPT format;

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Update Time: 2024-09-08

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

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