"Determining the expression of a linear function" linear function PPT courseware 3

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"Determining the expression of a linear function" linear function PPT courseware 3

Review and Thoughts

1. What is a linear function?

If the relationship between two variables x and y can be expressed in the form of y=kx+b (k, b are constants, k≠0), then y is said to be a linear function of x.

2. What is the graph of a linear function?

a straight line

3. What properties does a linear function have?

An object slides down a slope. The relationship between its speed v (m/s) and its sliding time t (seconds) is as shown in the figure on the right:

(1) Please write the relationship between v and t;

(2) What is the speed of the object when it slides down for 3 seconds?

practice

1. If the graph of a linear function y=2x+b passes through A(-1,1), then b=____, and the graph of this function passes through point B(1,__) and point C(____,0).

2. As shown in the figure, the straight line l is the image of the linear function y=kx+b. Fill in the blanks

(1)b=______,k=______;

(2) When x=30, y=______;

(3) When y=30, x=______.

3. It is known that straight line l is parallel to straight line y=-2x and intersects the y-axis at point (0,2). Find the analytical formula of straight line l.

Solution: Let the straight line l be y=kx+b,

∵l is parallel to the straight line y=-2x, ∴k= -2 and the straight line passes through the point (0, 2),

∴2=-2×0+b,

∴b=2

∴The original straight line is y=-2x+2

Lesson summary:

1. Set up a linear function expression;

2. List relevant equations based on known conditions;

3. Solve equations;

4. Substitute the calculated k and b back into the expression.

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For more information about the PPT courseware "Determining the expression of a linear function by a linear function", please click the ppt tag of Determining the expression of a linear function by a linear function ppt.

"Determining the expression of a linear function" linear function PPT courseware 4:

"Determining the Expression of a Linear Function" Linear Function PPT Courseware 4 Understand that two conditions determine a linear function, one condition determines a proportional function, and be able to find the expression from this. Can use the undetermined coefficient method to solve simple real-life problems and determine based on the graph of the function.

"Determining the expression of a linear function" linear function PPT courseware 2:

"Determining the expression of a linear function" linear function PPT courseware 2

An object slides down a slope. The relationship between its speed v (m/s) and its sliding time t (seconds) is as shown in the figure on the right:

(1) Please write down the relationship between v and t..

"Determining the expression of a linear function" linear function PPT courseware:

"Determining the Expression of a Linear Function" Linear Function PPT Courseware An object slides down a slope. The relationship between its speed v (meters/seconds) and its slide time t (seconds) is as shown in the figure. (1) What is the speed of the object when it slides down for 2 seconds? (2) What is the functional relationship between v and t...

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Update Time: 2024-10-02

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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