"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 4

Description

"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 4

Quiz:

1. Write the expression of the inverse proportional function: ______________.

2.The graph of the inverse proportional function is ____________.

3. The graph of the inverse proportional function y=-2/x is in the ________ quadrant.

4. When the inverse proportional function y=4/x passes through the point (m, 2), the value of m is ______.

5. If the image of the inverse proportional function y=k/x passes through point (2,-3), its expression is _______________.

review review

1. What kind of image is the inverse proportional function?

The graph of the inverse proportional function is a hyperbola

2. What is the relationship between the position of the graph of the inverse proportional function and k?

When k>0, the two curves are located in the first and third quadrants respectively;

When k<0, the two curves are located in the second and fourth quadrants respectively.

The graph of the inverse proportional function is a hyperbola

What is the relationship between the position of the graph of the inverse proportional function and k?

When k>0, the two curves are located in the first and third quadrants respectively. In each quadrant, the value of y decreases as the value of x increases;

When k<0, the two curves are located in the second and fourth quadrants respectively. In each quadrant, the value of y increases as the value of x increases.

1. Among the following functions, those whose graphs are located in the first and third quadrants are __________; in their quadrants, y increases with the increase of x, which are ___________.

2. (1) It is known that points A(-2,y1), B(-1,y2), C(3,y3) are all on the graph of the inverse proportional function y=4/x, compare y1, y2, y3 size relationship.

Solution: ∵k=4>0

∴The image is in the first and third quadrants. In each quadrant, y decreases as x increases.

∵x10, ∴Point A(-2,y1), point B(-1,y2) are in the third quadrant, point C(3,y3) is in the first quadrant.

∴y3>0, y2

Observe the two curves on the graph of the inverse proportional function and answer the following questions:

(1) Will they intersect the coordinate axes?

None of them intersect the coordinate axes.

(2) Is the graph of the inverse proportional function a centrally symmetric graph?

It is a centrally symmetrical figure, and the center of symmetry is the coordinate origin.

(3) Is the graph of the inverse proportional function an axis-symmetric graph?

They are axisymmetric figures, they have two axes of symmetry.

Review and Thoughts

1. Properties of the inverse proportional function: The graph of the inverse proportional function y=k/x, when k>0, the graph is located in the first and third quadrants. In each quadrant, the value of y decreases as x increases. ; When k<0, the image is located in the second and fourth quadrants, and the value of y increases with the increase of x.

2. The two branches of the hyperbola approach the coordinate axis but cannot intersect with the coordinate axis.

3. The graph of the inverse proportional function is a centrally symmetrical graph with the origin as the center of symmetry.

4. Pick any point on the graph of the inverse proportional function y=k/x, draw the vertical line (or parallel line) of the coordinate axis, and the S rectangle enclosed by the coordinate axis = 1 K 1

Keywords: teaching courseware for inverse proportional functions, teaching courseware for images and properties of inverse proportional functions, Beijing Normal University edition ninth grade mathematics volume PPT courseware, downloading ninth grade mathematics slide courseware, downloading PPT courseware for inverse proportional functions, images and properties of inverse proportional functions PPT courseware download, .ppt format

For more information about the "Inverse Proportional Function Image and Properties of Inverse Proportional Function" PPT courseware, please click the Inverse Proportional Function ppt Image and Properties of Inverse Proportional Function ppt tag.

"Images and Properties of Inverse Proportional Functions" PPT Courseware of Inverse Proportional Functions 5:

"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 5 Question-stimulating Review Introduction 1. From what aspects do we usually study functions? 2. What are the steps to draw a function graph? 3. What properties of linear functions have we studied with the help of images? cooperate..

"Images and Properties of Inverse Proportional Functions" PPT Courseware 3 of Inverse Proportional Functions:

"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 3 Quiz: 1. Write the coordinates of a point in the second quadrant: _________. 2. The straight line y=-x+3 passes through the ___________ quadrant. 3 .It is known that the area of ​​the rectangle is 6, then its length y and width x...

"Image and Properties of Inverse Proportional Functions" PPT Courseware of Inverse Proportional Functions 2:

"The Image and Properties of Inverse Proportional Function" Inverse Proportional Function PPT Courseware 2 Shape: The images are composed of two curves, so the image of the inverse proportion function is called a hyperbola. Position: The two curves of the function y=4/x are located in the first and third quadrants respectively. The function y=-4/x..

File Info

Update Time: 2024-10-05

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade First Volume Mathematics industry PPT template

Preview