"What is the maximum area" Quadratic Function PPT Courseware 2

"What is the maximum area" Quadratic Function PPT Courseware 2

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"What is the maximum area" Quadratic Function PPT Courseware 2

teaching objectives

1. Through review, further master the relevant properties of quadratic functions.

2. Be able to use quadratic function models to solve simple practical problems

Focus: sort out the content learned and construct a knowledge system that conforms to students’ cognitive structure.

Difficulty: Establish a quadratic function model to solve simple practical problems and expand students' thinking space.

Image and properties:

1. Fill in the blanks:

(1) The symmetry axis of the parabola y=-2x²+1 is the y-axis (x=0), and the vertex coordinates are (0, 1).

(2) Write the analytical formula of a quadratic function of an image passing through the origin: such as: y=x².

(3) The parabola y=-x²-2x+3 intersects the x-axis at points A (1, 0) and B (-3, 0), and intersects the y-axis at point C (0, 3), and △ABC The area is 6.

2. Find the symmetry axis and vertex coordinates of the parabola y=2x²-4x+1.

Solution: y=2x²-4x+1

= 2(x²-2x+1-1)+1

=2(x-1)²-2+1

=2(x-1)²-1

∴ The axis of symmetry is x=1, and the vertex coordinates are (1,-1)

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For more information about the PPT courseware "What is the maximum area of ​​a quadratic function", please click on the ppt label of "What is the maximum area of ​​a quadratic function ppt".

"What is the Maximum Area" Quadratic Function PPT Courseware 5:

"What is the Maximum Area" Quadratic Function PPT Courseware 5 Learning Objectives: 1. Master the problem of the maximum light transmission area of ​​rectangles and windows, and understand the mathematical model thinking and mathematical application value. 2. Learn to analyze and express quadratic relations between variables in practical problems in different contexts.

"What is the Maximum Area" Quadratic Function PPT Courseware 4:

"What is the Maximum Area" Quadratic Function PPT Courseware 4 Learning Objectives: 1. Explore the problem of the maximum area of ​​a rectangle and the problem of the maximum light transmission area of ​​a window. 2. Be able to analyze the quadratic function relationship between variables in the problem and solve the maximum (small) ) value issue. 3. Summary and problem solving..

"What is the maximum area" Quadratic Function PPT Courseware 3:

"What is the Maximum Area" Quadratic Function PPT Courseware 3. Carefully observe the construction model as shown in the figure. Make a rectangle ABCD inside a right triangle, where AB and AD are on the two right-angled sides respectively. (1) Let one side of the rectangle AB=xm So how to express the length of side AD? Analysis..

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