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

Description

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

learning target:

1. Be able to use the combination method to solve quadratic equations of one variable whose quadratic term coefficient is not 1.

2. Experience the process of exploring the general form of a quadratic equation (x+h)²=k (k≥0), and further understand the significance of the matching method

3. Understand the idea of ​​“transformation” in mathematics

Knowledge review

1. What are the steps to solve equations using the formula method?

2. Use the formula method to solve the following equations:

(1)x2-6x-16=0

(2)x2+3x-2=0

Think about it:

How to use the combination method to solve the equation 2x²-5x+2=0?

Please think about the equation x²-5/2x+1=0 and

What is the relationship between the equation 2x²-5x+2=0?

In conclusion

1. 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?

First, we need to change the coefficient of the quadratic term to 1

2. General steps for solving quadratic equations of one variable using the combination method:

(1) The coefficient becomes 1

(2) Relocation

(3) Formula

(4) Prescription

(5) Solve

(6) Fixed root

practice

1. Use the formula method to solve the following equations. The wrong formula is ( )

A.x²+2x-99=0 becomes (x+1)²=100

B.t²-7t-4=0 becomes (t-7/2)²=65/4

C.x²+8x+9=0 becomes (x+4)²=25

D.3x²-4x-2=0 becomes (x-2/3)²=10/9

2. Solve the following equations

(1)2x²-8x+1=0

(2)2x²+3x=0

(3)3x²-1=6x

(4)-2x²+19x=20

expand:

1. Use the matching method to show that the value of x²-3x+5 is always greater than 0

2. When x takes what value, does x²+2x-2 have a minimum value? And find the minimum value.

3. Please explain it in the form of a formula, no matter what value x takes:

(1)-2x²+12x-8 cannot be equal to 11

(2) The equation x²-x+1=0 has no solution

In conclusion

1. What is the method to solve a quadratic equation in which the coefficient of the quadratic term is not 1?

2. What are the general steps to solve a quadratic equation of the form ax²+bx+c=0(a≠0) using the matching method?

Coefficientization 1, term transfer, formula, deformation, square root, solution, definite solution

think

1. Under what conditions can the equation x²+px+q=0 be solved by the combination method?

2. The equation ax²+bx+c=0 (a≠0), when a, b, and c satisfy what relationship can it be solved by the combination method?

Keywords: teaching courseware for solving quadratic equations of one variable using the matching method, Qingdao edition ninth grade mathematics volume PPT courseware download, downloading ninth grade mathematics slide courseware, using the matching method to solve quadratic equations of one variable PPT courseware download, .PPT format;

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

"Using the Combination Method to Solve Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 2:

"Using the Combination Method to Solve Quadratic Equations" Quadratic Equations PPT Courseware 2 Review of Old Knowledge 1. What is the general form of the quadratic equation of X? 2. What are the integral equations you have learned? How are they solved? Remove denominators, remove brackets, move items, merge similar items..

File Info

Update Time: 2024-11-15

This template belongs to Mathematics courseware Qingdao Edition Ninth Grade Mathematics Volume 1 industry PPT template

Preview