"Definition and Proposition" Proof PPT Courseware 5

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"Definition and Proposition" Proof PPT Courseware 5

It can be seen from this that communication between people must have a common understanding of certain nouns or terms in order to proceed normally. For this reason, people have described the meaning of each noun or term in as much detail as possible and made clear regulations, that is, giving their definitions.

What is a definition?

Generally, a statement used to explain the meaning of a noun or a term is called a definition.

Learn and practice: Please give the following definitions

⑴ Irrational numbers: Infinite non-repeating decimals are called irrational numbers.

⑵Right triangle: A triangle with one right angle is called a right triangle.

⑶Linear function: If the relationship between two variables x and y can be expressed in the form of y=kx+b (k, b are constants, k≠0), then y is said to be a linear function of x.

What other mathematical definitions have you learned? Can you explain what the definition does?

The role of definition:

(1) Can be used as a judgment method;

(2) can also be used as a property.

Proposition: A sentence that judges something is called a proposition.

Note: Sentences expressing judgment are all propositions, regardless of whether the result of the judgment is correct; conversely, if a sentence does not make any judgment about a certain thing, then it is not a proposition.

In-class exercises

1. Which of the following sentences are propositions? Which ones are not propositions?

(1) Are positive numbers greater than all negative numbers?

(2) The shortest line segment between two points.

(3)√2 is not an irrational number.

(4) Draw a straight line parallel to the known straight line.

What did you learn in this lesson?

Definition: A sentence that stipulates the meaning of a name or term;

The concept of proposition: a sentence that makes a correct or incorrect judgment about a certain thing;

The structure of a proposition: Usually a proposition consists of two parts: a condition and a conclusion.

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"Definition and Proposition" PPT courseware:

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"Definition and Proposition" Proof PPT Courseware 4:

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Update Time: 2024-10-18

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