"Proposition" PPT download

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"Proposition" PPT download

Part One: Introduction of New Course

Which of the following sentences are sentences that judge a certain thing? Please pick them out.

(1)I am Chinese.

(2) Please complete your homework on time!

(3)Have you eaten?

(4) An isosceles triangle is an axially symmetrical figure.

(5) Positive integers, 0 and negative integers are collectively called integers.

(6) The difference between two positive numbers is not a positive number

Statements that can make a positive or negative judgment are called propositions.

Proposition PPT, part 2 content: Proposition analysis

1. Understanding the proposition

Is the following sentence a proposition?

(1) Do you like mathematics? (2) Construct line segment AB=CD

(3) Pandas have no wings (4) Any triangle must have right angles

A proposition is a complete sentence, a declarative sentence, which can be an affirmative sentence or a negative sentence; a matter can be judged positively or negatively. On the contrary, if a sentence does not make any judgment about a certain thing, then it is not a proposition. Neither interrogative sentences nor imperative statements are propositions. Propositions can be written in the form of "if..., then..."

2. The composition and form of propositions

(1) If two angles are right angles, then the two angles are equal.

(2) If two angles are acute angles, then their sum is an obtuse angle.

(3) If two angles are supplementary angles of the same angle, then the two angles are equal.

(4) If two numbers are negative, then the one with a larger absolute value will be smaller.

(5) If two numbers are negative, then their difference is still negative.

(6) If a number is negative, then its odd powers are negative numbers.

A proposition is composed of two parts: conditions and conclusions. If the leading part is a condition, then the leading part is the conclusion. For propositions whose conditions and conclusions are not obvious, first write them in the form of "if..., then..." and then go to Find conditions and conclusions. For propositions with obvious conditions and conclusions, sometimes, is bounded by .

3. Classification of propositions

Definitions are common true propositions

To describe and clearly stipulate the meaning of certain names and terms is to give their definitions.

For example:

"In an equation, there is only one unknown number, and the exponent of the unknown number is 1. Such an equation is called a linear equation of one variable" is the definition of "a linear equation of one variable"

"An angle is a figure consisting of two rays with common endpoints" is the definition of "angle".

Let’s talk about it. How are even numbers, monomials, and the distance between two points defined?

Among integers, a number that is divisible by 2 is called an even number.

Even numbers include positive even numbers, negative even numbers and 0

Formulas that are the product of numbers and letters are called monomials. A single number or letter is also a monomial.

The length of the line segment between two points is called the distance between the two points."

Proposition PPT, the third part of the content: Class summary

1. What is a proposition? How is it composed? In what form can it be written?

2. What kind of proposition is a true proposition? What kind of proposition is false?

3. What proposition is the definition?

4. What is a counterexample? What is the use of giving a counterexample?

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, proposition PPT download, .PPT format;

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Update Time: 2024-10-03

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