"Inverse Proportional Function" PPT courseware 7

Description

"Inverse Proportional Function" PPT courseware 7

Write the following functional relationship

1. When the distance s =10, the functional relationship between time t and speed v.

2. When the rectangular area S=5, the functional relationship between the length a and the width b.

3. When the triangle area S =20, the functional relationship between the base y and the height x of the triangle.

Please observe what common features these formulas have?

A function of the form y=k/x (k is a constant, k≠0) is called an inverse proportional function

Inverse proportional function y=k/x, then xy=k, k is a constant, and k≠0

Do it

1. Among the following functions, which ones are inversely proportional functions (x is the independent variable)?

(1) y=3/x (2) xy=-1/4 (3) x=-5y

2.y is the inverse proportional function of x. The following table gives some values ​​of x and y:

(1) Write the expression of this inverse proportional function;

(2) Complete the above table according to the function expression.

Solution: (1) Let y=k/x.

Substituting x= -1 and y=2 into the above formula, we get k= -2.

So y=-2/x.

think about it

If the graph of an inverse proportional function passes through the point (-2, 5), its analytical formula is y=-10/x.

If the intersection point of the graph of the linear function y=kx+b and the inverse proportional function y=k/x is (2, 3), then k=6, b=9.

It is known that point (2, 5) is on the image of the inverse proportional function y=□/x, where "□" is contaminated and unreadable writing, then the following points on the image of the inverse proportional function are ( )

A.(2,-5) B.(-5,-2)

C. (-3, 4) D. (4, -3)

summary:

(1) Content:

Inverse proportional function: meaning (expression) y=k/x (k≠0)

How to find the analytical expression xy=k (k≠0)

Keywords: Inverse proportional function teaching courseware, Qingdao edition ninth grade mathematics volume 2 PPT courseware download, ninth grade mathematics slide courseware download, inverse proportional function PPT courseware download, .PPT format;

For more information about the "Inverse Proportional Function" PPT courseware, please click the Inverse Proportional Function ppt tab.

"Image and Properties of Inverse Proportional Functions" PPT courseware:

"Image and Properties of Inverse Proportional Functions" PPT courseware draws the image of the inverse proportional function y=6/x. 1. List: 2. Draw points: Use the corresponding values ​​​​of each group in the table as the coordinates of the points, and draw the corresponding values ​​​​in the plane rectangular coordinate system point. 3. Connection: Use smooth curves to connect each...

"Application of Inverse Proportional Functions" PPT courseware:

"Application of Inverse Proportional Functions" PPT courseware uses the knowledge of inverse proportional functions to solve practical problems. The general idea can be roughly divided into the following two steps: (1) Carefully review the question and establish the inverse proportional function ________; (2) Based on the known conditions, find the solution from a variable ______________..

"Inverse Proportional Function" PPT courseware 8:

"Inverse Proportional Function" PPT courseware 8 1. A function of the form ________(k is a constant, and k0) is called an inverse proportional function, where k is called _________. 2. The value range of the independent variable x in the inverse proportional function is______. 1. (4 points) The following functions are inversely proportional functions..

File Info

Update Time: 2024-09-03

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

Preview