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"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.
"Mixed Operations of Quadratic Radicals" PPT courseware:
"Mixed Operations of Quadratic Radicals" PPT courseware What characteristics do they have to be combined in order to perform addition and subtraction operations of quadratic radicals? (1) Name three quadratic radicals of the same kind for 25; (2) Try to name a group of quadratic radicals of the same kind. (3) Which of the following formulas are quadratic radicals of the same kind?
"Addition and Subtraction Operations of Quadratic Radicals" PPT courseware:
"Addition and Subtraction Operations of Quadratic Radicals" PPT courseware Steps: Step 1: Convert each quadratic radical into the simplest quadratic radical. Step 2: Combine the quadratic radicals that can be combined. Summary: For quadratic radicals like 3, 12, and 75, after simplification, we use the square root of...
"Multiplication and Division Operations of Quadratic Radicals" PPT courseware:
"Multiplication and Division Operations of Quadratic Radical Expressions" PPT courseware summary: 1. ab = ab (a0, b0) 2. a/b = a/b (or ab = ab) (a0, b>0) Note: The quadratic radical expression The result of the operation should be reduced to the simplest quadratic radical. Removing the quadratic radical from the denominator is called rationalization of the denominator. Now...