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Authoritative PPT Summary
"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 the relationship between v and t;
(2) What is the speed of the object when it slides down for 3 seconds?
think about it
How many conditions are needed to determine the expression of a proportional function?
What about determining the expression of a linear function?
Summary: When determining a function expression, if you require several coefficients, you need to know the coordinates of several points.
Question: What are the steps required to determine a linear function expression?
1. Suppose—suppose the function expression y=kx+b
2. Substitute - Substitute the coordinates of the point into y=kx+b, and list the equations about k and b
3. Solve the equation and find k and b
4. Write - just substitute the calculated k and b values back into the expression
Trial test
①If the graph of a linear function y=2x+b passes through the point (-1, 1), then b= the graph of the function passes through the point B (1, ) and the point C (, 0)
②If the image of y=kx passes through the (1, 2) point, then it must pass through ( )
A (2,-1) B (-0.5, 1) C (-2, 1) D (-1, 0.5)
③As shown in the figure, the straight line l is the image of the linear function y=kx+b, fill in the blanks (i) b= ( ) k= ( )
(ii) When x=30, y=()
(iii) When y=30, x=()
④ Determine the linear function expression according to the conditions: y is a proportional function of x. When x=2, y=6, find the functional expression of y and x
⑤If the graph of function y=kx+b passes through the points (-3, 2) (1, 6), find k, b and their expressions
the other side of victory
①If the image of the linear function image y=ax+3 passes through A(1,-2), then a= ( )
②The straight line y=2x+b passes through the point (1, -2), then the coordinates of its intersection with the y-axis are ( )
③A certain function has the following two properties: its image is a straight line passing through the origin (0, 0); the y value decreases as x increases.
Please write a function that satisfies the above conditions (expressed in relational 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 3:
"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 xy can be expressed in the form of y=kx+b (kb is the constant k0), it is called y is a linear function of x. 2. What is the graph of a linear function?
"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...