"Quadratic Radicals" Real Numbers PPT Courseware (Lesson 2)

Description

"Quadratic Radicals" Real Numbers PPT Courseware (Lesson 2)

Part One Content: Basic Knowledge Key Points

Knowledge point 1: Multiplication and division of quadratic radicals

1. The result of calculating √6a·√2a is (A)

A.2√3a B.√3/3

C.√3a D.√3a/3

2. (Adapted) Which of the following operations is correct (B)

A.2√7•3√7=6√7

B.√(4/3)=√4/√3=(2√3)/("( " √3 〖" )" 〗^2 )=(2√3)/3

C.√3/√9=√(3/9)=√(1/3)=3

D.√15÷√5×√3=√15÷√15=1

Knowledge point 2: Addition and subtraction of quadratic radicals

5. Which of the following calculations is correct (D)

A.√3+√2=√5 B.2+√2=2√2

C.2√6-√5=1 D.√8-√2=√2

6. Calculation: √48-2√3+7√75=　37√3.

Quadratic Radical PPT, Part 2: Improvement of Comprehensive Ability

11. If the integer part of √3 is x and the decimal part is y, then the value of √3x-y is (C)

A.3√3-3 B.√3

C.1 D.3

12. The following is the reasoning process by which A and B obtain √14+√6>√(14+6):

A: Because √14>√9=3, √6>√4=2, so √14+√6>3+2=5. And √(14+6)=√20<√25=5, so √ 14+√6>√(14+6).

B: Construct a right triangle. The lengths of the two right-angled sides are √14 and √6 respectively. Use the Pythagorean theorem to find that the square of the hypotenuse length is (√14)2+(√6)2=14+6, because the length of the hypotenuse is is greater than 0, so the length of the hypotenuse is √(14+6), because √14, √6, √(14+6) are the lengths of the three sides of the triangle, so √14+√6>√(14+6).

Regarding the reasoning between the two people, which of the following statements is correct (A)

A.Both are correct B.Both are wrong

C. A is correct, B is wrong D. A is wrong, B is correct

Quadratic Radical PPT, Part 3: Expansion, Research and Breakthroughs

17. If a+b=2, then a and b are said to be balanced numbers about 1.

(1)3 and -1 are equilibrium numbers about 1, 5-√2 and -3+√2 are equilibrium numbers about 1;

(2) It is known that m is an integer. If (m+√3)×(1-√3)=-5+3√3, determine whether m+√3 and 5-√3 are balanced numbers about 1, and explain the reason. .

Keywords: Beijing Normal University edition eighth grade mathematics PPT courseware free download, quadratic radical PPT download, real number PPT download, .PPT format;

For more information about the "Quadratic Radicals of Real Numbers" PPT courseware, please click on the Real Numbers PPT Quadratic Radicals PPT tab.

"Quadratic Radicals" Real Number PPT Courseware (Lesson 1):

"Quadratic Radical Expression" Real Number PPT Courseware (Lesson 1) Part One: Knowledge Points Basic Knowledge Point 1 Concept of Quadratic Radical Expression 1. The following formula: 72x(1- m)(a^2+b^2)100 Among (a^2 - 1)(| a| +1), there must be (B) A.3 B.4...

"Quadratic Radicals" Real Numbers PPT:

"Quadratic Roots" Real Numbers PPT Part One: Knowledge Review 1. What is the arithmetic square root of a number? How to express? Generally, if the square of a positive number x is equal to a, that is, x=a, then this positive number x is called the arithmetic square root of a. The arithmetic square root of a...

"Addition and Subtraction of Quadratic Radicals" Quadratic Radicals PPT (Lesson 2):

"Addition and Subtraction of Quadratic Radical Expressions" Quadratic Radical Expression PPT (Lesson 2) Part One: Learning Objectives: Master the operation rules of mixed operations of quadratic radicals. (Key Points) Be able to use the mixed operation rules of quadratic radicals to perform related operations. .(Difficulty) ... ... ...

File Info

Update Time: 2024-11-22

This template belongs to Mathematics courseware Beijing Normal University Edition Eighth Grade Mathematics Volume 1 industry PPT template

Preview