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"Representation of Angles" 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,
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
There are four ways to represent angles:
(1) Use three capital letters to represent the angle;
(2) Use a capital English letter to represent the angle;
(3) Use an Arabic numeral to represent the angle;
(4) Use a Greek letter to represent the angle.
Group discussion question on page 4 of the textbook:
Answer: (1) Same.
(2) ∠ A and ∠ B can be represented by one letter.
(3) There are three angles with a point C as the vertex, namely ∠ ACD, ∠ BCD, and ∠ ACB.
(4) There are 7 corners in the picture.
Exercise 1
Among the following four figures, the figure that can use ∠1, ∠AOB, and ∠O to represent the same angle is ( ).
Exercise 2
Please express the angles in the figure in different ways and fill in the following table:
Exercise 3
As shown in the figure, three capital letters are used to represent the angles,
∠1 is ∠AEC, ∠2 is ∠BED,
∠3 is ∠ABC, ∠4 is ∠BCE.
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.
⒉ There are four ways to represent angles: ① It can be represented by three capital letters; ② It can be represented by a number; ③ It can also be represented by a Greek letter; ④ It can be represented by one capital letter.
In particular, a capital letter must be used to avoid confusion.
On-site inspection:
1. In Figure 1, ∠α and ∠β are represented by letters A, B, and C.
They can be expressed as __________ and __________ respectively.
2. In Figure 2, how many angles are there with B as the vertex? Express them. How many angles are there with D as the vertex? Express them.
Answer: There are three angles with B as the vertex, namely ∠ABD, ∠DBC, and ∠ABC; there are four angles with D as the vertex, namely ∠ADE, ∠ADB, ∠BDC, and ∠CDE.
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"Representation of Angles" PPT courseware 3:
"Representation of Angles" PPT Courseware 3 Learning Objectives 1. Understand the definition of angles 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 formed by two rays with common endpoints..
"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: ..