"Proposition" PPT courseware

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"Proposition" PPT courseware

Part One: Observation and Thinking

Among the following sentences, which ones are judgment sentences and which ones are not? Why?

(1) Two right angles are equal.

(2)Do you participate in sports games?

(3) If a=b,b=c, then a=c.

(4) Connect two points A and B.

(5) Two triangles with equal areas are congruent.

(6) If a is an even number, then a must be divisible by 2.

A statement that makes a judgment about something is called a proposition.

Proposition PPT, the second part of the content: Do it

Among the following sentences, which ones are propositions and which are not propositions? They are propositions. Please rewrite them in the form of "if... then..." and then point out the conditions and conclusions of the propositions. .

1. Two equal angles are acute angles.

2. Draw a perpendicular bisector of the line segment.

3. When two straight lines intersect, there is only one intersection point.

4. Extend line segment AB to C so that AC=2AB

5. Two supplementary angles of the same angle are equal.

6. Two straight lines are parallel and have equal angles.

7. When a=b, there is a2=b2.

8. When a2=b2, there is a=b.

Correct propositions are called true propositions, and incorrect propositions are called false propositions.

Proposition PPT, the third part: practice

Which of the following sentences are propositions? Is it propositional? Indicate whether it is a true proposition or a false proposition?

1. Cats have four legs;

2. The sum of the two sides of the triangle is greater than the third side;

3. Draw a curve;

4. All quadrilaterals are rhombus;

5. Humid air;

6. Quadrilaterals with equal corresponding angles are similar quadrilaterals;

7. The opposite vertex angles are equal;

8. Corresponding sides of similar triangles are proportional;

9. Draw a perpendicular to segment MN through point P.

What are the conditions for the following proposition? What is the conclusion?

(1) If two angles are equal, then they are opposite vertex angles;

(2) If a>b,b>c, then a=c;

(3) Two triangles whose two angles and the opposite side of one of the angles are equal are congruent;

(4) All four sides of a rhombus are equal;

(5) The areas of congruent triangles are equal.

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Update Time: 2024-07-12

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