"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 5

Description

"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 5

learning target

1. Understand what the preparation method is;

2. Be able to use the matching method to accurately and skillfully solve quadratic equations of one variable;

3. Understand the key, basic ideas and steps of the preparation method;

4. Understand the ideas of transformation, analogy and reduction.

Consolidation exercises

(1) The roots of the equation x²=0.25 are X1=0.5, x2=-0.5

(2) The root of the equation 2x²=18 is X1=3, x2=-3

(3) The roots of equation (2x-1)²=9 are X1=2, x2=-1

2. Choose an appropriate method to solve the following equations:

(1)x²－81＝0 (2) x²＝50

(3) (x＋1)²=4 (4)x²＋2x+5=0

concept:

Put the left side of the quadratic equation into a perfect square, and then use the square root method to solve it. This method of solving the quadratic equation is called the matching method.

Explore the rules:

(1)x²＋8x+4²=(x+4 )²

(2)x²-4x+2²=(x-2)²

(3)x²-6x+3²=(x-3)²

Thinking: When the coefficient of the quadratic term is 1, what is the relationship between the constant term and the coefficient of the linear term?

Rule: When the coefficient of the quadratic term is 1, the constant term is half the square of the coefficient of the linear term.

Talk about your gains! !

1. Generally speaking, for an equation of the form x2=a (a≥0), according to the definition of square root, this method of solving quadratic equations of one variable is called the square root method.

2. Match the left side of the quadratic equation into a perfect square, and then use the square root method to solve it. This method of solving the quadratic equation is called the matching method.

Keywords: quadratic equations courseware, solving quadratic equations courseware, New People's Education Edition ninth-grade mathematics PPT courseware, ninth-grade mathematics slide courseware download, quadratic equations PPT courseware download, solving quadratic equations PPT courseware Download, .ppt format

For more information about the PPT courseware "Quadratic Equations of One Variable and Solving Quadratic Equations of One Variable", please click the "Quadratic Equations of One Variable Equation ppt Solution of Quadratic Equations of One Variable" ppt tag.

"Solving Allocation Methods for Quadratic Equations of One Variable" PPT courseware:

"Solution Method for Quadratic Equations" PPT courseware General steps for solving quadratic equations using the combination method: (1) Change the coefficient of the quadratic term of the equation into ________; (2) Move the constant term to the _______ of the equation _side; (3) Add linear term coefficient______ to both sides of the equation..

"Factorization Method for Solving Quadratic Equations of One Variable" PPT courseware:

"Factorization Method for Solving Quadratic Equations" PPT courseware uses the factorization method to solve quadratic equations. General steps: (1) Change the right side of the equation to zero; (2) Decompose the left side of the equation into two linear equations. ________ of factors; (3) Let each factor be zero, we get..

"Formula Method for Solving Quadratic Equations of One Variable" PPT courseware:

"Formula Method for Solving Quadratic Equations of One Variable" PPT courseware 1. For the quadratic equation ax2+bx+c=0(a0), when b2-4ac0, its root is x=________. This formula is called the ________ formula of the quadratic equation. Use the root formula to solve quadratic equations of one variable..

File Info

Update Time: 2024-10-15

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 1 industry PPT template

Preview