"Applications of Quadratic Functions" PPT courseware download

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"Applications of Quadratic Functions" PPT courseware download

Part One: Learning Objectives

1. Let students become more familiar with the conversion between point coordinates and line segments.

2. Let students learn to use the knowledge of quadratic functions to solve relevant practical problems.

3. Master the idea of ​​mathematical modeling and realize that mathematics comes from life and serves life.

New course introduction

1. The graph of the quadratic function y=a(x-h)2+k is a ________, its axis of symmetry is ________, and the vertex coordinates are ________.

2. The graph of the quadratic function y=ax2+bx+c is a ________, its axis of symmetry is _________, and the vertex coordinate is___________. When a>0, the parabola opens to _________, and there is the most_______ _ point, the function has the most ________ value, it is ________; when a<0, the parabola opens to ________, there is the most ________ point, the function has the most ________ value, it is __________.

3. The symmetry axis of the quadratic function y=2(x-3)2+5 is ________, and the vertex coordinate is ________. When x=________, the maximum __ value of y is ________.

4. The symmetry axis of the quadratic function y=-3(x+4)2-1 is ________, and the vertex coordinate is ________. When x=____, the function has the maximum ____ value, which is ____.

5. The symmetry axis of the quadratic function y=2x2-8x+9 is ________, and the vertex coordinate is ________. When x=____, the function has the maximum ____ value, which is ____.

Application of quadratic functions PPT, part 2: knowledge explanation

A store sells T-shirts. It is known that the unit price when purchased in batches is 2.5 yuan. According to market research, the sales volume and unit price satisfy the following relationship: within a period of time, when the unit price is 13.5 yuan, the sales volume is 500 pieces, and the unit price is 13.5 yuan per unit. If you reduce it by 1 yuan, you can sell 200 more pieces. Could you please help analyze, at what unit sales price can you make the most profit?

If the sales price is x yuan (x≤13.5 yuan), then

Sales volume can be expressed as: _______ pieces;

Sales volume can be expressed as: _______ yuan;

The profit obtained can be expressed as: _______ yuan;

When the sales unit price is _______ yuan, the maximum profit can be obtained, and the maximum profit is __________ yuan.

When is the total orange production greatest?

There are 100 orange trees in an orchard, and each tree bears an average of 600 oranges. Now we are planning to plant more orange trees to increase production, but if we plant more trees, the distance between the trees and the sunlight received by each tree will It will decrease. According to empirical estimates, every time a tree is planted, each tree will bear 5 fewer oranges on average.

If x trees are planted and the total output of oranges in the orchard is y, then the relationship between y and x is:

y=(600-5x)(100+x ) =-5x²+100x+60000

Application of quadratic function PPT, the third part: the idea of ​​"application of quadratic function"

Looking back at the process of solving the "maximum profit" and "maximum output" problems in this lesson, can you summarize the basic ideas for solving such problems?

1. Understand the problem;

2. Analyze the variables and constants in the problem and the relationship between them;

3. Express the relationship between them mathematically;

4. Do mathematical solutions;

5. Check the rationality of the test results.

Application of quadratic functions PPT, part 4: in-class exercises

1. (Gansu·High School Entrance Examination) A cannonball is fired into the air. The height after x seconds is y meters, and the relationship between time and height is y=ax2bx+c (a≠0). If the height of the cannonball at the 7th second and the 14th second are equal, then the height of the cannonball at the following times is the highest ( )

A． 8 seconds B. 10 seconds C. 12 seconds D. 15th second

2. (Baotou·High School Entrance Examination) Cut a 20cm long wire into two sections, and use the length of each section of wire as the perimeter to make a square. Then the minimum value of the sum of the areas of the two squares is _____cm2.

3. (Lanzhou·High School Entrance Examination) As shown in the picture, Xiao Ming’s father tied a rope between two trees 2 meters apart and made a simple swing for Xiao Ming. The place where the rope was tied was 2.5 meters above the ground, and the rope naturally drooped. It is in the shape of a parabola. When the tree with a height of 1 meter is 0.5 meters closer to the small clear distance, its head just touches the rope. Then the distance between the lowest point of the rope and the ground is ______ meters.

4. (Zhaotong·High School Entrance Examination) When a certain rocket is launched vertically upward, the relationship between its height h(m) and time t(s) can be expressed by the formula h=-5t2+150t+10. After ______s, the rocket reaches its highest point.

Application of quadratic functions PPT, Part 5: Class summary

1. Mainly learned how to transform practical problems into mathematical problems, especially how to use the relevant properties of quadratic functions to solve practical problems.

2. When using quadratic functions to solve practical problems, establishing an appropriate rectangular coordinate system is the key to solving the problem.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for the second volume of ninth grade, application of quadratic functions PPT download, .PPT format;

For more information about the "Applications of Quadratic Functions" PPT courseware, please click on the "Applications of Quadratic Functions" ppt tab.

"Applications of Quadratic Functions" PPT free download:

"Application of Quadratic Function" PPT free download Part 1 content: Learning objectives 1. Experience the process of exploring the maximum profit in the T-shirt sales process, realize that the quadratic function is a mathematical model of a type of optimization problem, and experience the application of mathematics Value. 2. Master the reality..

"Application of Quadratic Functions" PPT download:

"Application of Quadratic Function" PPT Download Part 1 Content: Situational Problem A certain large grain farmer planted 360 acres of high-quality rice last year, and plans to increase the rent of Yuan, the income per mu of newly added land this year...

"Applications of Quadratic Functions" PPT:

"Applications of Quadratic Functions" PPT Part 1 Content: Review and think about whether the graph of the quadratic function intersects with the x-axis, and what determines it? The symbol of b-4ac determines b-4ac�0, and there are two intersection points b- 4ac=0, there is only one intersection point b-4ac�0, there is no intersection point..

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Update Time: 2024-10-20

This template belongs to Mathematics courseware Hebei Education Edition Ninth Grade Mathematics Volume 2 industry PPT template

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