"Inverse Proportional Function" PPT Courseware 3

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"Inverse Proportional Function" PPT Courseware 3

Use your brain

1. Teacher Li took a bus from Niushi to Shawan today. If Niushi and Shawan are 32 kilometers apart, the relationship between the speed y (km/h) and the time x (hours) is ______.

2. Our school’s dining group has a total of 5 tons of coal. The relationship between the number of days y that can be burned and the amount of coal burned per day x is ______.

Fill it out carefully:

1. It is known that point P (x1, 3) and point Q (-2, y1) satisfy the inverse proportional function y=1/x, then x1=1/3, y1=-1/2.

2. It is known that point P (2, -3) satisfies the inverse proportional function y=k/x, then k=-6.

Graph and properties of inverse proportional functions:

1. k>0----The image is in the first and third quadrants, and y decreases as x increases in each quadrant.

2. k<0----The image is in the second and fourth quadrants, and y increases with the increase of x in each quadrant.

Put pen to paper and do it

It is known that y is the inverse proportional function of x, and when x=4, y= -1, find:

(1) Functional relationship between y and x.

(2) The value of y when x=-2/3.

(3) When x has the value, y=4/5

Expansion exercises

1. It is known that the points (x1, -1) (x2, -5), (x3, -9) are on the graph of the function y= -1/x, then the following relational expression is correct ( )

A x1＜x2＜x3 ​​B x1＞x2＞x3

C X1＞X3＞X2 D x1＜x3＜x2

Expand research

If a vertical line is drawn through P to the y-axis, and the vertical foot is k, will the area of ​​the rectangle OQPK change as point P moves? If not, can you find the area?

Keywords: Inverse proportional function teaching courseware, New People's Education Edition eighth-grade mathematics volume PPT courseware, eighth-grade mathematics slide courseware download, inverse proportional function PPT courseware download, .ppt format

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Update Time: 2024-11-19

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 2 industry PPT template

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