"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 2

Description

"Solving Quadratic Equations of One Variable" PPT courseware for quadratic equations of one variable 2

learning target

1. Understand the transformation idea of ​​reducing the order of solving quadratic equations of one variable;

2. Be able to use the direct square root method to solve quadratic equations of one variable of the form x2=p or (mx+n)2=p (p≥0);

3. Understand the idea of ​​analogy;

Key points: Be able to skillfully and accurately use the direct square root method to find solutions to quadratic equations of one variable.

Difficulty: Explore the solution of (x-m)2=a, and have the awareness of classification discussion.

Knowledge review

Question 1. What is a square root? How to express it by formula?

If the square of a number is equal to a, then the number is called the square root of a.

Question 2. What are the properties of square roots?

(1) A positive number has two square roots, and these two square roots are opposites of each other; (2) The square root of zero is zero; (3) Negative numbers have no square roots.

Question 3: What is the square root operation?

The operation of finding the square root of a number is called the square root operation.

Summary

What is the direct opening method?

Like solving x2=4, x2-2=0, the method of using the definition of square root to use direct square root to solve a quadratic equation of one variable is called the direct square root method.

summary

The direct square root method is suitable for solving quadratic equations of one variable in the form of (A)²=p(p≥0). A here can be a letter, a monomial, or a polynomial containing unknown numbers. In other words: as long as it can be transformed into a quadratic equation of the form (A)²=p (p≥0) after deformation, it can be solved by the direct square root method.

way of thinking

1. The essence of degree reduction: converting a quadratic equation into two linear equations;

Reduction method: direct square method;

Reduction embodies: transforming thoughts;

2. The general steps for solving a quadratic equation using the direct square root method: first transform the equation into a form where the left side is a perfect square containing the unknown number, and the right side is a non-negative number, and then use the definition of square root to solve.

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

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Update Time: 2024-09-08

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

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