"End of Chapter Review Lesson" Collection and Commonly Used Logic Terms PPT

Description

"End of Chapter Review Lesson" Collection and Commonly Used Logic Terms PPT

Part One: Reminder and Exploration

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={x∈N|1

(1) Use enumeration method to express sets A and B;

(2) Find A∩B and ∁U(A∪B).

[Solution] (1) From the question, A={2,3,4}, B={x∈R|(x-1)(x-2)=0}={ 1,2}．

(2) From the question, A∩B={2}, A∪B={1,2,3,4}, so ∁U(A∪B)={0,5,6}.

regular method

The operations of sets mainly include intersection, union and complement operations. This is also the main test point of the set part of the college entrance examination. Some questions are relatively simple and can be obtained directly based on the definition of set operations. Some questions are combined with solving inequalities or equations, which require First solve the inequalities correctly, and then perform set operations. Some set problems are relatively abstract. When solving problems, you need to use Venn diagrams for number-shape analysis or the use of number axes. The number-shape combination thinking method can make the problem intuitive and visual. This enables the problem to be solved simply and accurately.

Track training

1. It is known that the complete set U={1,2,3,4}, the set A={1,2}, B={2,3}, then ∁U(A∪B)=()

A． {1,3,4}

B． {3,4}

C. {3}

D. {4}

Parameter issues in set relations and operations

[Example 2] It is known that the set A={x|0≤x≤2}, B={x|a≤x≤a+3}.

(1) If (∁RA)∪B=R, find the value range of a;

(2) Is there a such that (∁RA)∪B=R and A∩B=∅?

regular method

When calculating the parameter range based on the relationship between sets, it is necessary to deeply understand the concept of subsets, convert problems in the form A⊆B into A B or A = B, and then list the inequality groups so that the problem can be solved. In the process of establishing inequalities, You can use the number axis to promote numbers with shapes and turn abstraction into concreteness. Pay attention to accurate drawing and comprehensive classification.

Keywords: Free download of PPT courseware for compulsory course No. 1 Mathematics in High School People's Education A version, download of PPT for end-of-chapter review course, download of PPT of sets and common logical terms, .PPT format;

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Update Time: 2024-10-01

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

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