"Basic Operations of Sets" Sets and Common Logic Terms PPT Courseware (Complete Collection, Supplements and Comprehensive Applications of Lesson 2)

Description

"Basic Operations of Sets" Sets and Common Logic Terms PPT Courseware (Complete Collection, Supplements and Comprehensive Applications of Lesson 2)

Part One: Learning Objectives

Understand the meaning of the complete set and complement, correctly understand the meaning of the symbol ∁UA, and be able to find the complement of the set A when the complete set is known

Able to solve set problems such as intersection, union and complement of sets

Able to correctly use the meaning of complement to solve some specific problems

Basic operations of sets PPT, part 2: self-study

Problem guide

Preview the fourth line from the bottom of textbook P17 - P19, and think about the following questions:

1. What does the full set mean?

2. What does complement mean?

3. How to understand the meaning of "∁UA"?

4. How to represent ∁UA using a Venn diagram?

A preliminary exploration of new knowledge

1. Complete works

(1) Definition: When studying the relationship between sets, if the sets to be studied are all _________ of a given set, then the given set is called a complete set.

(2) Notation: The complete set is usually written as ____.

■Instructions from famous teachers

The universe is not a set containing any elements, but only contains all the elements involved in the problem under study.

2. Complement

3. Properties of complements

(1)A∪(∁UA)=____．

(2)A∩(∁UA)=____．

(3)∁UU＝____, ∁U∅＝U, ∁U(∁UA)＝____.

(4)(∁UA)∩(∁UB)＝∁U(A∪B)．

(5)(∁UA)∪(∁UB)＝∁U(A∩B)．

■Instructions from famous teachers

∁UA’s three meanings

(1)∁UA represents a set.

(2)A is a subset of U, that is, A⊆U.

(3)∁UA is the set of all elements in U that do not belong to A.

self-test

Judge whether it is true or false (mark “√” if it is correct and “×” if it is wrong)

(1) The complete set of number set problems must be R.()

(2) The sets ∁BC and ∁AC are equal. ()

(3)A∩∁UA＝∅.()

(4) The complement of a set must contain elements. ()

Suppose the set U={1, 2, 3, 4, 5, 6}, M={1, 3, 5}, then ∁UM=()

A． {2, 4, 6} B． {1,3,5}

C． {1, 2, 4} D. U

It is known that the complete set U=R and the interval P=[-1,1], then ∁UP=()

A． (-∞,-1)

B. (1,+∞)

C． (-1,1)

D. (-∞,-1)∪(1,+∞)

Basic operations of sets PPT, the third part: lecture, practice and interaction

Complement operation

(1) If the interval U=[-2,2], then the complement ∁UA of A=[-2,0] is ()

A． (0,2) B. [0,2)

C． (0,2] D．[0,2]

(2) Suppose U={x|-5≤x<-2, or 2

regular method

Strategies for finding the complement of a set

(1) If the given set is a finite set, first list the elements in the set one by one, and then solve it by combining the definition of the complement set. In addition, for such problems, Venn diagrams are often used in the solution process. When handled in this way, it is relatively intuitive and vivid, and it is less likely to make mistakes when answering.

(2) If the given set is an infinite set, when solving problems related to the complement of the set, the number axis is often used. First, the known set and the complete set are expressed on the number axis respectively, and then the solution is solved according to the definition of the complement.

Comprehensive operations of set intersection, union and complement

(1) (2019•Changsha Test) It is known that the complete set U={1, 2, 3, 4, 5, 6, 7, 8}, set A={2, 3, 5, 6}, set B={1 ,3,4,6,7}, then the set A∩(∁UB)=()

A． {2,5} B. {3,6}

C． {2,5,6} D. {2, 3, 5, 6, 8}

(2) It is known that the complete set U=R, A={x|-4≤x<2}, B={x|-1

regular method

Techniques for solving set intersection, union and complement operations

(1) If the given set is a finite set, first list the elements in the set one by one, and then solve it by combining the definitions of intersection, union, and complement. In the solution process, Venn diagrams are often used to solve problems.

(2) If the given set is an infinite set of real numbers, the known set and the complete set are expressed on the number axis with the help of the number axis, and then the operations of intersection, union and complement are performed. Pay attention to boundary issues during the solution process.

Solving for parameter values ​​(ranges) related to the complement set

Suppose the set A={x|x+m≥0}, B={x|-2

Interactive exploration

(Variable conditions) If the condition in this example is changed from "(∁UA)∩B＝∅" to "(∁UA)∩B≠∅", and other conditions remain unchanged, what is the value range of m?

regular method

Method of solving parameters from the complement of sets

(1) The problem of determining parameters from the complement set, if the number of elements in the set is limited, can be solved by using the definition of the complement set and combining it with set knowledge.

(2) Parameter-finding problems related to set intersection, union, and complement operations. If there are infinite elements in the set, the number line analysis method is generally used to solve them.

Basic operations of sets PPT, Part 4: Feedback on achievement of standards

1. It is known that the complete set U={1, 2, 3, 4, 5, 6}, the set P={1, 3, 5}, Q={1, 2, 4}, then (∁UP)∪Q=()

A． {1}　B． {3,5}

C． {1, 2, 4, 6} D. {1,2,3,4,5}

2. Suppose the complete set U=R, the interval A=(0,+∞), B=(1,+∞), then A∩(∁UB)=()

A． [0,1) B． (0,1]

C． (-∞,0) D. (1,+∞)

3. It is known that the complete set U={1, 2, a2-2a+3}, A={1, a}, ∁UA={3}, then the real number a is equal to ()

A． 0 or 2　B. 0

C． 1 or 2 D． 2

Keywords: Free download of the compulsory course I PPT courseware of high school PEP B version of mathematics, PPT download of basic operations on sets, PPT download of sets and commonly used logical terms, PPT download of complete sets, supplements and comprehensive applications, .PPT format;

For more information about the PPT courseware "Sets and Commonly Used Logical Terms: The Complete Set of Basic Operations and Their Comprehensive Application" PPT courseware, please click on the "Sets and Commonly Used Logic Terms: Basic Operations of Sets ppt Complete Set and Complement and Comprehensive Application" ppt tag.

"End of Chapter Review Course" collection and common logic terms PPT courseware:

"End of Chapter Review Course" Sets and Common Logic Terms PPT Courseware Question Type Explores the Union, Intersection, and Complement Operations of Sets [Example 1] It is known that the complete set U={0,1,2,3,4,5,6}, the set A={xN|1

"End-of-Chapter Review and Improvement Course" collection and common logic terms PPT:

"End-of-Chapter Review and Improvement Course" Sets and Common Logic Terms PPT Part One: Comprehensive Improvement of Basic Concepts of Sets (1) It is known that set A = {0, 1, 2}, then set B = {x-y| The number of elements in xA, yA} is ( ) A. 1B. 3C. 5 D. 9 (2)If-..

"Sufficient conditions, necessary conditions" collection and common logical terms PPT (sufficient and necessary conditions in lesson 2):

"Sufficient and Necessary Conditions" collection and common logical terms PPT (Lesson 2: Necessary and Sufficient Conditions) Part One Content: Learning Objectives 1. Understand the concept of necessary and sufficient conditions. (Difficulty) 2. Ability to determine the sufficiency, necessity, and sufficiency of conditions. (Key points) 3. Will proceed...

File Info

Update Time: 2024-11-22

This template belongs to Mathematics courseware People's Education High School Mathematics Edition B Compulsory Course 1 industry PPT template

Preview