"Inverse Proportional Function" PPT Courseware 8

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"Inverse Proportional Function" PPT Courseware 8

1. A function of the form ________(k is a constant, and k≠0) 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) Which of the following functions is an inverse proportional function ()

A． y＝2x＋1　B． y＝3x＋2

C. y=4x2 D. y=6x

2. (4 points) When the area S of a triangle is constant, the relationship between its height h and base a is ()

A． Directly proportional functional relationship B. inverse proportional function relationship

C. linear functional relationship D. Not a functional relationship

10. Among the following relationships, the inverse proportional function is ()

A． The relationship between the area S and the radius r of a circle

B． The area of ​​a triangle is constant, and the relationship between its base a and the height h on this side is

C. The relationship between a person’s age and height

D. Xiao Ming goes from home to school, the relationship between the remaining distance s and the speed v

11. If the function y=a+1x is an inverse proportional function, the value range of a is ()

A． a＞－1　B. a≠-1

C. a<-1 D． a≠0

12. If y is directly proportional to x and y is inversely proportional to z, then the following statement is correct ()

A． z is a proportional function of x

B． z is the inverse proportional function of x

C. z is a linear function of x

D. z is not a function of x

13. It is known that y is inversely proportional to 2x+1, and when x=1, y=2, then when y=-2, x=________.

17． (10 points) A driver drives a car from point A to point B, reaching the destination in 6 hours at an average speed of 80 kilometers/hour.

(1) When the driver drives the car back at a constant speed on the original road, find the functional relationship between the car speed v (km/h) and time t (hours);

(2) If the driver takes 4.8 hours to return at a constant speed, find the speed when returning.

18. (10 points) It is known that the function y=y1-y2, y1 is inversely proportional to x, y2 is directly proportional to x-2, and when x=1, y=-1, when x=3, y=5.

(1) Find the functional relationship between y and x.

(2) When x=6, find the value of y.

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