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"Primary Function" PPT Courseware 2
diagnostic exercises
1. Among the following relationships between variables, those with functional relationships are ( )
①When the height of the base of an isosceles triangle is 5, the area and base of the triangle;
②The sum of interior angles and the number of sides of a polygon;
③The area and radius of the circle;
④y=y and x in the square root 2x-1.
A. 1 B. 2 C. 3 D. 4
1. The concept of function:
Generally, in a certain change process, there are two variables x and y. If an x value is given, a y value is determined accordingly, then we call y a function of x, where x is the independent variable and y is the dependent variable.
2. Representation method of function:
(1) Image method: image and intuition;
(2) List method: specific and accurate;
(3) Analytical method: abstract and comprehensive.
Definition of a one-time function:
If the relationship between two variables x and y can be expressed in the form of y=kx-b (k and b are constants, k≠0), then y is said to be a linear function of x, where x is the independent variable and y is dependent variable.
In particular, when b=0, y is said to be a proportional function of x, which is expressed in the form of y=kx (k is a constant, k≠0).
The charging standard for Class A mobile phones of a certain telecommunications company is as follows: No matter how long the call lasts, each mobile phone must pay a monthly rental fee of 50 yuan. In addition, a fee of 0.4 yuan per minute of call is required.
(1) Write the relationship between the monthly fee payable y (yuan) and the call time x (minutes);
(2) A certain mobile phone user has 152 minutes of talk time this month. How much yuan should he pay?
(3) If the mobile phone user prepaid a phone bill of 200 yuan this month, how long can the user make calls this month?
Keywords: One-time function courseware, Beijing Normal University edition eighth-grade mathematics volume PPT courseware, eighth-grade mathematics slide courseware download, one-time function PPT courseware download, .ppt format
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