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

Description

"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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Update Time: 2024-11-22

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade Mathematics Volume 2 industry PPT template

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