"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 5 Simple campus recruitment activity planning plan summary enterprise and institution recruitment publicity lecture PPT template is a general PPT template for business post competition provided by the manuscript PPT, simple campus recruitment activity planning plan summary enterprise and institution recruitment promotion Lecture PPT template, you can edit and modify the text and pictures in the source file by downloading the source file. If you want more exquisite business PPT templates, you can come to grid resource. Doug resource PPT, massive PPT template slide material download, we only make high-quality PPT templates!
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"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 5
Setting up doubts to stimulate thinking and review introduction
1. From what aspects do we usually study functions?
2. What are the steps to draw a function graph?
3. What properties of linear functions have we studied with the help of images?
Collaborative exploration to discover problems
By analogy with the process of drawing the graph of a function, students are asked to draw the graph of the inverse proportional function y=4/x.
question:
1. What is the shape of the graph of the inverse proportional function?
2. What should we pay attention to when drawing the graph of an inverse proportional function?
Summary
1.x≠0
2. Use smooth curves to connect the points;
3. The image is extended and should not be drawn with clear endpoints;
4. The development trend of the curve is that it is infinitely close to the coordinate axis, but does not intersect with the coordinate axis.
The graph of the inverse proportional function is determined by k
When k>0, the two hyperbolas are located in the first and third quadrants respectively;
When k<0, the two hyperbolas are located in the second and fourth quadrants respectively;
Challenge yourself and improve your abilities
1. Is the graph of the inverse proportional function a centrally symmetric graph? If so, please find the center of symmetry.
2. Is the graph of the inverse proportional function an axis-symmetric graph? If so, can you try to explain what its axis of symmetry is?
Summarize and integrate into the system
The graph of the inverse proportional function is composed of two curves, so the graph of the inverse proportional function is called a hyperbola.
1. It is known that y=y1+y2, y1 and y2 are directly proportional and inversely proportional, and when x=2 and x=3, the value of y is equal to 19. Find the coefficient relationship between y and x, and find x= The value of y at 4.
2. Exercise 6.2 Contact Expansion
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"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 4:
"Graphics and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 4 Quiz: 1. Write the expression of the inverse proportional function: ______________. 2. The graph of the inverse proportional function is ____________. 3. Inverse proportional function y=-2/x The image is in the ________quadrant..
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"Images and Properties of Inverse Proportional Functions" Inverse Proportional Function PPT Courseware 3 Quiz: 1. Write the coordinates of a point in the second quadrant: _________. 2. The straight line y=-x+3 passes through the ___________ quadrant. 3 .It is known that the area of the rectangle is 6, then its length y and width x...
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