"Application of linear function" PPT courseware of linear function (Lesson 1)

Description

"Application of a linear function" PPT courseware of a linear function (Lesson 1), 24 pages in total.

Part One: Learning Objectives

Find the expression of a linear function from the coordinates of a point

Find the expression of a linear function based on the position transformation of a straight line

Find the expression of a linear function based on the properties of geometric figures

Find the expression of a linear function based on the quantitative relationship

Application of one-time function PPT, part 2 content: class introduction

(1) If y=kx+b (k, b are constants, k≠0), then y is said to be a linear function of x.

(2)y=kx(k≠0) then y is a proportional function of x.

(3) The linear function y=kx+b has the following properties:

When k>0, y increases as x increases.

When k<0, y decreases as x increases.

PPT on the application of linear functions, the third part: Understanding new knowledge

Knowledge point: Find the expression of a linear function from the coordinates of a point

An object slides down a slope. The relationship between its speed v (m/s) and its sliding time t (s) is as shown in the figure.

(1) Write the relationship between v and t;

(2) What is the speed of the object when it slides down for 3 seconds?

think about it

How many conditions are needed to determine the expression of a proportional function?

Summarize

To find the expression of a linear function from an image, the key is to find two points on the image, substitute their coordinates into the expression, and solve for the values ​​of k and b. When selecting points, the intersection point of the image with the x-axis and y-axis is generally selected to facilitate the solution.

Knowledge point: Find the expression of a linear function from the position transformation of a straight line

1. The rule of two straight lines being parallel: if two straight lines are parallel, the k value is equal.

2. The law of translation: "Add up and subtract down". Up and down are the translation of shapes, and addition and subtraction are the changes of numbers:

The straight line y=kx+b can be seen as the translation of the straight line y=kx:

①When b>0, translate the straight line y=kx upward by b units to obtain the straight line y=kx+b;

②When b<0, translate the straight line y=kx downward by |b| units to get the straight line y=kx+b.

Application of linear function PPT, Part 4: Classroom exercises

Use each piece of paper 6 cm long, overlap it by 1 cm and paste it into a paper strip, as shown in the picture. The function between the length of the paper tape y (cm) and the number of paper strips x

The number expression is ()

A. y＝6x＋1 B． y＝4x＋1

C. y＝4x＋2 D． y＝5x＋1

Application of linear function PPT, Part 5: Class summary

1. To determine the relational expression of a linear function is to determine the values ​​of the constants k and b in the linear function relational expression y=kx+b(k≠0).

2. The steps to find the linear function relation are:

Suppose → Substitute → Find → Restore, that is:

(1) Suppose: Suppose the linear function relationship y=kx+b;

(2) Substitution: Substitute the given data into the functional relational expression;

(3) Find: Find the value of k;

(4) Reduction: Write the linear function relational expression.

Keywords: Free download of Beijing Normal University version of eighth-grade mathematics volume PPT courseware, PPT download of the application of a function, PPT download of a function, .PPT format;

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Update Time: 2024-09-29

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