"Simple Axisymmetric Figures" Axisymmetric PPT in Life (Lesson 3)

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"Simple Axisymmetric Figures" Axisymmetric PPT in Life (Lesson 3)

Part One: Learning Objectives

1. Experience the process of exploring the axial symmetry of simple figures, further understand the properties of axial symmetry, accumulate experience in mathematical activities, and develop spatial concepts.

2. Explore and understand angular symmetry and its related properties.

Simple axisymmetric graphics PPT, part 2: classic examples

[Example 1] As shown in the figure, if ∠AOC is known, please use the ruler and compass drawing method to draw the bisector of the angle.

[Example 2] As shown in the figure, in △ABC, ∠A=90°, BD bisects ∠ABC, AD=3 cm, BC=10 cm.

(1)The distance from D to BC is __________;

(2)The area of ​​△DBC is __________.

[Example 3] There are two triangular plates of the same size and both containing 30° angles. They are placed as shown in the figure, where M is the intersection of AD and BC.

(1) Is the distance from point M to AB equal to MC?

(2) Find the degree of ∠AMB.

Simple axisymmetric graphics PPT, the third part: Variation exercises

1. As shown in the figure, △ABC is known, use a ruler and compass to draw the angle bisector CD. (Keep the traces of the drawing, no writing is required)

2. As shown in the figure, in △ABC, it is known that ∠A=90°, AB=AC, BD bisects ∠ABC, and DE⊥BC is at point E.

(1) If AD=2 cm, then the distance from point D to side BC is ________;

(2) If BC=7 cm, then the perimeter of △CDE is ________.

3. As shown in the figure, BD is the bisector of ∠ABC, AB=BC, point P is on BD, PM⊥AD, PN⊥CD, and the vertical feet are M and N respectively. Try to explain: PM=PN.

Simple axisymmetric graphics PPT, Part 4: Consolidation training

4. Which of the following statements is correct ()

A. The distance from a point on the angle bisector to both sides of the angle is equal

B. The angle bisector is the axis of symmetry of the angle.

C. If two angles are equal, then the two angles are opposite to each other.

D. Two angles with a common side are supplementary angles

5. As shown in the figure, use a ruler and compass to draw the bisector OE of ∠AOB. In the process of making the angle bisector, the method used to determine the congruence of triangles is ()

A.ASA B.SSS

C.SAS D.AAS

6. As shown in the figure, OP is the bisector of ∠AOB, PC⊥OA, PD⊥OB, and the vertical feet are C and D respectively, then the following conclusion is wrong ()

A.PC=PD

B.∠CPD=∠DOP

C.∠CPO=∠DPO

D.OC=OD

Keywords: Free download of Beijing Normal University edition seventh-grade mathematics PPT courseware for the second volume, simple axial symmetry graphics PPT download, axial symmetry in life PPT download, .PPT format;

For more information about the PPT courseware "Axisymmetric in Life and Simple Axisymmetric Figures", please click on the Axisymmetric in Life PPT and Simple Axisymmetric Figures PPT tag.

"Simple Axisymmetric Figures" Axisymmetric PPT in Life (Lesson 2):

"Simple Axisymmetric Figures" Axial Symmetry in Life PPT (Lesson 2) Part One Content: Learning Objectives 1. Experience the process of exploring the axial symmetry of simple graphics to further understand the properties of axial symmetry, accumulate experience in mathematical activities, and develop spatial concepts. 2 .Explore and learn..

"Simple Axisymmetric Figures" Axisymmetric PPT in Life (Lesson 1):

"Simple Axisymmetric Figures" Axial Symmetry in Life PPT (Lesson 1) Part One Content: Learning Objectives 1. Experience the process of exploring the axial symmetry of simple graphics, further understand the properties of axial symmetry, accumulate experience in mathematical activities, and develop spatial concepts. 2 .Explore and learn..

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Update Time: 2024-09-14

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