"Using a system of linear equations of two variables to determine the expression of a linear function" PPT download of a system of linear equations of two variables

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"Determining linear function expressions using linear equations of two variables" PPT download of linear equations of two variables, 32 pages in total.

Part One: Learning Objectives

Use the method of undetermined coefficients to find linear function expressions

Use linear equations of two variables to find linear function expressions for practical problems

Use linear equations of two variables to determine linear function expressions PPT, Part 2: Gain new knowledge

Knowledge points: Use linear equations of two variables to find linear function expressions

Because the general form of a linear function is y=kx+b (k, b are constants, k≠0), the key to finding the expression of a linear function is to determine the values ​​of k and b (i.e., the undetermined coefficients).

Summarize

Like this, the method of finding the expression of a function by first setting the function expression (determining the function model) and then determining the unknown coefficients in the expression based on conditions is called the undetermined coefficient method.

Knowledge points: Use linear equations of two variables to find linear function expressions of practical problems

Places A and B are 100 km apart. Two people, A and B, are riding toward each other from places A and B respectively at the same time. Assuming that they both keep driving at a constant speed, the distance s (km) between them and place A is 100 km. A linear function of the driving time t(h). After 1 hour, person B is 80 km away from place A; after 2 hours, person A is 30 km away from place A. How long will it take for the two people to meet?

How did you do it? Communicate with peers.

Use linear equations of two variables to determine linear function expressions PPT, Part 3: Class summary

1. Undetermined coefficient method:

The method of first setting up a function expression, and then determining the unknown coefficients in the expression according to the given conditions, to obtain the function expression is called the undetermined coefficient method.

2. General steps for finding expressions using the method of undetermined coefficients:

(1) Set up a function expression containing undetermined coefficients;

(2) Substitute the corresponding values ​​of the independent variables and functions in the known conditions into the function expression to obtain an equation (set) about the undetermined coefficients;

(3) Solve the equation (set) and find the undetermined coefficients;

(4) Substitute the obtained value of the undetermined coefficient back into the set expression.

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For more information about the PPT courseware "Determining the expression of a linear function using a system of linear equations in two variables using a system of linear equations in two variables", please click on the PPT tag "Determining the expression of a linear function using a system of linear equations in two variables" PPT tag.

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"Using a system of linear equations of two variables to determine the expression of a linear function" System of linear equations of two variables PPT:

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"Using linear equations of two variables to determine linear function expressions" PPT courseware for linear equations of two variables:

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Update Time: 2024-09-30

This template belongs to Mathematics courseware Beijing Normal University Edition Eighth Grade Mathematics Volume 1 industry PPT template

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