"Definition and Proposition" Proof PPT Courseware 3

Description

"Definition and Proposition" Proof PPT Courseware 3

(1) Definition:

Generally, a sentence that can clearly define the meaning of a name or term is called the definition of the name or term.

(2) Can you give the definition of the following names?

Irrational numbers: Infinite non-repeating decimals are called irrational numbers.

Pressure: The pressure per unit area is called pressure.

Define "proposition"

Compare the expression forms of the following sentences. Which one makes a judgment about the matter? Which ones don’t make judgments about things?

(1) Birds are animals.

(2) If a2=b2, then a=b.

(3) 0.33 is an irrational number.

(4) The two straight lines are parallel and have equal angles.

Statement:

Generally speaking, a sentence that makes a correct or incorrect judgment about a certain thing is called a proposition.

The current proposition can be seen as consisting of two parts: the proposition (condition) and the conclusion (conclusion). The proposition is the known matter, and the conclusion is the matter deduced from the known matter.

Example: Find the conditions and conclusions of the proposition:

Two triangles with three corresponding equal sides are congruent.

Condition: The three sides of the two triangles are equal,

Conclusion: These two triangles are congruent.

In the same triangle, equal sides correspond to equal angles.

Condition: Two sides of the same triangle are equal,

Conclusion: The angles they subtend are also equal.

If two sides of the same triangle are equal, then the angles they subtend are also equal.

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"Definition and Proposition" PPT courseware:

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"Definition and Proposition" Proof PPT Courseware 5:

"Definitions and Propositions" Proof PPT Courseware 5 It can be seen from this: Communication between people must have a common understanding of certain nouns or terms to proceed normally. For this reason, people have given as detailed a description as possible to the meaning of each noun or term, and made clear regulations...

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Update Time: 2024-10-15

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