"Quadratic Radical Formula" PPT courseware

Description

"Quadratic Radical Formula" PPT courseware

1. The concept of quadratic radicals

The algebraic formula √a (a≥0) is called the quadratic root formula

1. Two characteristics of quadratic radicals:

(1) The root index is in the shape of 2-----

(2) The radicand is greater than or equal to zero-----prime

2. a can be a number or a formula.

2. The value range of letters in the quadratic radical formula

√a is meaningful, the radicand number a≥0

The radicand a can be a number or a formula

Example 1 When x takes on what value, the following radical formula is meaningful?

Solution (1) From 2x-1≥0, we get x≥0.5

Therefore, when x ≥ 0.5, √(2x-1) is meaningful

(2) From 2-x≥0, we get x≤2

Therefore, when x ≤ 2, √(2-x) makes sense

(3) From 1/x≥0 and x≠0, we get x>0

So when x>0, √1/x is meaningful

(4) No matter what x is a real number, there is 1+x 2>0

So, √(1+x²) makes sense when x takes on any real number

Talk about it

What is the basic basis for finding the range of values ​​for letters in quadratic radicals?

①The radicand is greater than or equal to zero;

②When there are letters in the denominator, make sure the denominator is not zero.

③When multiple conditions are combined, use the inequality group to solve the problem

The concept of quadratic radicals:

An expression of the form √a (a≥0) is called a quadratic root expression

try your reaction

Factoring in the real range: 4x²-3

The courseware contains a wealth of examples, fully explains the definition and properties of quadratic radicals, and strengthens difficult and key content. It is very suitable for junior high school mathematics teaching.

Keywords: Quadratic radical teaching courseware, New People's Education Edition eighth grade mathematics volume 2 PPT courseware, eighth grade mathematics slide courseware download, quadratic radical PPT courseware download, .ppt format

For more information about the "Quadratic Radicals" PPT courseware, please click the Quadratic Radicals ppt tab.

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Update Time: 2024-09-26

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 2 industry PPT template

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