"Comparison of Angles" Basic Plane Graphics PPT Download

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"Comparison of Angles" Basic Plane Graphics PPT Download

Part One: Learning Objectives

1. Experience the research process of comparing the sizes of angles, and experience the consistency of the methods of comparing angles and comparing line segments; (Key Points)

2. Be able to compare the sizes of angles and estimate the size of an angle;

3. Recognize the bisector of an angle during operation activities, and use the definition of the bisector of an angle to solve calculation problems related to angles. (difficulty)

Comparison of angles PPT, part 2: exploration of new knowledge

1. Compare the sizes of the angles below

Compare angle sizes using superposition method

Thinking: Are the lengths of both sides of the angle related to the size of the angle? Can a magnifying glass change the size of an angle?

Overlay method

Place the vertices of the two angles and one side coincident, and place the other side on the same side of the coincident side.

2. Comparative applications of angles and angle bisectors

(1) Compare the sizes of ∠AOB, ∠AOC, ∠AOD, and ∠AOE, and tell us how you compare.

(2) What method would you use to compare the sizes of ∠BOC and ∠EOD;

(3) Xiaoliang uses the folding method to make OD and OC overlap, and OE falls inside ∠BOC, so ∠BOC is greater than ∠EOD. Can you understand this method?

(4) Please draw the folding crease OF in the picture. What is the size relationship between ∠DOF and ∠COF?

Angle bisector definition: A ray starting from the vertex of an angle and dividing the angle into two equal angles is called the bisector of the angle.

geometric language

Because OC is the angle bisector of ∠AOB,

So ∠AOC = ∠BOC = ∠AOB

Or ∠AOB = 2∠BOC = 2∠AOC

3. Estimate the size of the angle

1. Please estimate the degrees of ∠AOB and ∠DEF in Figure 4-21 in the textbook, and tell us your estimation method.

2. Explore: Work together with deskmates to use a set of triangles to create angles of different degrees. Based on the angles everyone spelled out, summarize the degree characteristics of these angles.

Comparison of angles PPT, the third part: In-person inspection

1. In the following formula, the equation that can express "OC is the angle bisector of ∠AOB" is ( )

2. As shown in the figure, ∠1=∠2, try to find a pair of equal angles in the figure.

∠BAD=∠CAE

3. There are 120 pages of exercises in the textbook.

Comparison of angles PPT, part 4 content: Class summary

Comparison of angles

Compare angle sizes

Observation

Metrics

Overlay method

bisector of angle

Properties of bisectors of angles

angle calculation

Comparison of angles PPT, part 5: homework assignments

A: Textbook Exercise 4.4 1, 2, 3

B: Textbook Exercises 4.4 4

Keywords: Free download of Beijing Normal University Edition seventh-grade mathematics PPT courseware for the first volume, comparison of angles PPT download, basic plane graphics PPT download, .PPT format;

For more information about the "Comparison of Angles of Basic Plane Figures" PPT courseware, please click on the Comparison of Angle of Basic Plane Figures PPT tab.

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Update Time: 2024-07-30

This template belongs to Mathematics courseware Beijing Normal University Edition Seventh Grade Mathematics Volume 1 industry PPT template

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