"Inverse Proportional Function" PPT courseware

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"Inverse Proportional Function" PPT courseware

function definition

Generally speaking, in a certain change, there are two variables x and y. If a value of x is given, a value of y is determined accordingly, then we call y a function of x, where x is called the independent variable, y is called the dependent variable.

Please recall what functions we have learned?

Review and Thoughts

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

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

Question 1: If you memorize 10 words every day, then the relationship between the total number of words mastered (y) and time x (days) is _____.

Question 2: Xiao Ming originally mastered 150 words and will memorize 10 words every day. Then the relationship between the total number of words he masters y (number) and time x (days) is _______

Question 3: There are about 1,200 words in the ninth-grade English textbook. Xiao Ming plans to master them all in x (days). Then the relationship between the average number of words y (number) that needs to be memorized every day and the time x (days) is_ ______.

Question 4: A rectangle with an area of ​​6400�, then the relationship between the length a(m) and width b(m) of the flower bed is _______

Definition of inverse proportional function

Generally, if the relationship between two variables x and y can be expressed in the form of y=k/x (k is a constant, k ≠0), then y is said to be an inverse proportional function of x.

Note: Neither the variables x nor y can be equal to 0.

Example 1: The current I, resistance R, and voltage U satisfy the relationship U=IR. In lighting circuits, the normal voltage U=220V.

(1) Find the functional relationship between I and R?

(2) Is variable I an inverse proportional function of R?

(3) Use the written relationship to complete the following table:

Example 2: In a certain circuit, keeping the voltage U (volts) constant, the current I (amps) is an inverse proportional function of the resistance R (ohms). When the resistance R=5 ohms, the current I=2 amps.

(1) Find the functional relationship between I and R.

(2) When the current I=0.5A, find the value of the resistor R.

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"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..

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Update Time: 2024-10-05

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