"Using the Combination Method to Solve Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable

Description

"Using the Combination Method to Solve Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable

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＋2√5x+5=0

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, for equations of the form x2=a (a≥0),

According to the definition of square root, we can solve x1=√a, x2=-√a. This method of solving quadratic equations 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.

3. For a quadratic equation of one variable whose quadratic term coefficient is not 1, what should be done first when solving it using the collocation method?

Keywords: teaching courseware for quadratic equations, teaching courseware for solving quadratic equations using the matching method, Beijing Normal University edition ninth grade mathematics volume 1 PPT courseware, downloading ninth grade mathematics slide courseware, downloading PPT courseware for quadratic equations, using matching Method to solve quadratic equations PPT courseware download, .ppt format

For more information about the PPT courseware "Using the Combination Method to Solve Quadratic Equations of One Dimension and Quadratic Equations of One Dimension", please click the Solving Quadratic Equations of One Dimension Using the Combination Method ppt Quadratic Equations of One Dimension ppt tag.

"Using the Combination Method to Solve Quadratic Equations of One Variable" PPT courseware 2:

"Using the Combination Method to Solve Quadratic Equations" PPT Courseware 2 Review and review the steps of using the combination method to solve quadratic equations: 1. Move terms: move the constant term to the right side of the equation; 2. Formula: add both sides of the equation The square of half the coefficient of a linear term; 3. Square root: According to the square root meaning...

"Using the Combination Method to Solve Quadratic Equations of One Variable" PPT courseware:

"Using the Combination Method to Solve Quadratic Equations" PPT courseware learning objectives: 1. Be able to use the combination method to solve quadratic equations whose quadratic term coefficients are not 1. 2. Experience exploring the general form of quadratic equations (x+h)=k (k0) process, further understand the meaning of the matching method 3. Experience...

"Using the Combination Method to Solve Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 3:

"Using the Combination Method to Solve Quadratic Equations of One Variable" Quadratic Equations PPT Courseware 3 Review and Thoughts 1. Use the direct square root method to solve the following equations (1) x-6=0 (2) (x+3)=5 2. Can What are the characteristics of quadratic equations of one variable solved by the direct square root method? Discuss one by one...

File Info

Update Time: 2024-09-16

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

Preview