"One-time Function" PPT download

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"One-time Function" PPT download

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"One-time Function" PPT download

Part One: Use your brain

What kind of function can be used to express the corresponding rules of variables in the following questions?

(1) The circumference L of the circle changes with the change of the radius r;

L=2πr

(2) The density of iron is 7.8g/cm, and the mass m (unit g) of the iron block changes with its volume V (unit cm);

m=7.8V

(3) The thickness of each exercise book is 0.5cm. The total thickness h (unit cm) of some exercise books stacked together changes with the change of the number n of these exercise books;

h=0.5n

(4) Freeze a 0℃ object so that it drops by 2℃ every minute. The temperature T (unit: ℃) of the object changes with the freezing time t (unit: minutes).

T=-2t

One-time function PPT, the second part: induction

Generally, a function of the form y=kx (k is a constant, k≠0) is called a proportional function, where k is called the proportional coefficient.

Why is it emphasized here that k is a constant, k≠0?

(1) Can you give some examples of proportional functions?

(2) Which of the following functions are proportional functions?

One-time function PPT, the third part: Comprehensive application training

1. Which of the two quantities in the following relationship is directly proportional to ( )

A. The time and speed from place A to place B; B. Area and side length of square

C. The amount of money required to buy the same exercise books and the number of exercise books; D. People's weight and height

2. Among the following functions, y is a proportional function of x ( )

A. y=4x+1 B. y=2x2 C. y=-√5x D. y=√x

3. Which of the following statements is not true ( )

A. In y=3x-1, y+1 is directly proportional to x; B. In y=-7x, y is directly proportional to x

C. In y=2(x+1) y is directly proportional to x+1; D in y=x+3 y is directly proportional to x

4. Function y=(2m+6)x2+(1-m)x is a proportional function, then the value of m is ( )

A. m=-3 B. m=1 C. m=3 D. m>-3

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, one-time function PPT download, .PPT format;

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Update Time: 2024-09-08

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