"Understanding systems of linear equations of two variables" PPT courseware for systems of linear equations of two variables

Description

"Understanding systems of linear equations of two variables" PPT courseware for systems of linear equations of two variables

learning target:

1. Be able to identify linear equations of two variables and systems of linear equations of two variables; understand the solutions to linear equations of two variables and systems of linear equations of two variables;

2. Be able to judge whether a set of values ​​is a solution to an equation (set)

3. Through the analysis of practical problems, understand that the system of equations is an effective mathematical model that depicts the real world, and cultivate students' observation, induction and generalization skills.

main difficulty:

Key points: The meaning of solutions to linear equations of two variables and systems of linear equations of two variables

Difficulty: Try to find the solution to a simple system of linear equations of two variables.

Yesterday, 8 of us went to Hongshan Park to play, including adults and children. We spent a total of 34 yuan on tickets. Each adult ticket is 5 yuan, and each child ticket is 3 yuan. Do you know how many adults and how many children they went to?

If there are x adults and y children, what kind of equation can you get?

x+y=8

5x+3y=34

Class summary:

1. Definition

2. Solutions to linear equations of two variables appear in pairs

3. Use the substitution method to find solutions to linear equations of two variables and systems of linear equations of two variables.

4. Judgment methods for linear equations of two variables and systems of linear equations of two variables

5. There are countless solutions to linear equations of two variables;

Compliance test

1. Among the following equations, which one is a linear equation of two variables ( )

A.x+2y=3z B.xy=1 C.x+y=1 D.x-y2=2008

2. Regarding the solution to the linear equation of two variables 4x+5y=13, which of the following statements is correct ( )

A. There is only one solution B. There are two solutions

C. There are countless sets of solutions. D. Any set of rational numbers is its solution.

Expand and extend

1. In the equation (a2-4)x2+(2-3a)x+(a+2)y+3a=0, if this equation is a linear equation of two variables about x and y, then the value of a is ＿＿.

2. Write a system of linear equations in two variables with x=3 y=3 as the solution.

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For more information about the PPT courseware "Learning the system of linear equations in two variables and understanding the system of linear equations in two variables", please click the PPT tag of "Learning the system of linear equations in two variables ppt".

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Update Time: 2024-09-07

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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