"Representation of Angles" PPT Courseware 3

Description

"Representation of Angles" PPT Courseware 3

learning target

1. Understand the definition of angle and related concepts.

2. Understand concepts such as angles, right angles, square angles, and circumferential angles from the perspective of motion.

3. Master the expression of angles.

Definition of angle 1:

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

Definition of angle 2:

An angle can also be viewed as a figure formed by a ray rotating around its endpoint.

The ray at the starting position is called the starting side of the angle,

The ray at the ending position is called the terminal side of the angle.

When the initial and final sides of an angle are exactly in line with each other, the angle formed is called a straight angle;

When the ray rotates once and returns to the starting position, the angle formed is called the circumferential angle

The concept of angle

1. An angle is a figure composed of two rays with common endpoints.

2. An angle can also be regarded as a figure composed of a ray rotating around the endpoint.

Put a "√" in ( ) for the following statements that are correct.

1. The figure formed by two straight lines is called an angle ( )

2. The figure formed by two rays is called an angle.

3. The figure formed by two rays drawn from the same point is called an angle ( )

4. A straight angle is a straight line ( )

Representation of angle

1. Indicated by the symbol of angle and three capital letters.

How else can such an angle be represented?

O is the vertex of the angle, A and B are points on both sides of the angle respectively. A and B can exchange places, but O must be written in the middle. Any angle can be represented this way.

2. Use the symbol of an angle and a capital letter to indicate

This can be expressed when the angle with a certain letter (such as O) as the vertex has only one angle. If there are several angles with O as the vertex, this representation cannot be used.

3. Use the symbol of an angle and a number or Greek letter to represent it.

When using this method, an arc must be added near the vertex and marked with Arabic numerals or lowercase Greek letters α, β, and γ.

summary

⒈An angle is a figure composed of two rays with common endpoints. The elements of the angle are vertices and sides. The size of the angle does not change with the length of the side, that is, it has nothing to do with the side.

⒉There are four ways to represent angles:

①Can be represented by three capital letters;

②It can be represented by a capital letter;

③It can be represented by a number;

④ can also be represented by a Greek letter. In particular, a capital letter must be used to avoid confusion.

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"Representation of Angles" PPT Courseware 2:

"Representation of Angle" PPT Courseware 2 Angle is a figure composed of two rays with common endpoints. 1. Definition of angle: A figure composed of two rays with common endpoints is called an angle. An angle can also be regarded as a ray rotating around the endpoints. graphics composed of. 2. Definition of angle 2: ..

"Representation of Angles" PPT courseware:

"Representation of Angle" PPT courseware Definition of Angle (1) An angle is a figure composed of two rays with common endpoints. Definition of Angle (2) The ray at the starting position is called the starting side of the angle, and the ray at the ending position, It is called the terminal side of an angle. When the initial and terminal sides of an angle are exactly...

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Update Time: 2024-09-05

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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