"Exploring the Nature of Axisymmetry" Axisymmetric PPT in Life

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"Exploring the Nature of Axisymmetry" Axisymmetric PPT in Life

Part One: Learning Objectives

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

2. Understand the properties of axial symmetry: In two figures that are axially symmetrical, the lines connecting corresponding points are bisected perpendicularly by the axis of symmetry, the corresponding line segments are equal, and the corresponding angles are equal.

Exploring the properties of axial symmetry PPT, part 2: classic examples

[Example 1] As shown in the figure, △ABC and △A'B'C' are symmetrical about the straight line l.

(1) Find its corresponding point, corresponding line segment and corresponding angle;

(2) What is the relationship between line segment AB and line segment A'B'? What about line segment BC and B'C'?

(3) What is the relationship between ∠A and ∠A'? What about ∠C and ∠C'?

(4) Connecting BB', what is the relationship between straight line l and line segment BB'?

Answer: (1) Corresponding points: point A and point A', point B and point B', point C and point C';

Corresponding line segments: line segment AB and line segment A'B', line segment BC and line segment B'C',

Line segment AC and line segment A'C';

Corresponding angles: ∠A and ∠A', ∠B and ∠B', ∠C and ∠C';

(2)AB=A'B',BC=B'C';

(3)∠A=∠A',∠C=∠C';

(4) Line segment BB' is perpendicularly bisected by straight line l.

Exploring the properties of axial symmetry PPT, Part 3: Variation exercises

1. As shown in the figure, Rt△AFC and Rt△AEB are axially symmetrical about the dotted line. The following conclusions are given:

①∠1=∠2;

②△ANC≌△AMB;

③CD=DN.

The correct conclusion is __________. (fill in the serial number)

2. As shown in the figure, straight line l is the symmetry axis of an axially symmetrical figure. Draw the other half of this axially symmetrical figure.

3. As shown in the figure, point P is a point within ∠AOB. Draw the symmetry points P1 and P2 of point P about OA and OB respectively. Connect P1P2, intersect OA at point M, and intersect OB at point N. The perimeter of △PMN is 15 , then the length of P1P2 is _______.

Exploring the properties of axial symmetry PPT, Part 4: Consolidation of training

4. If two figures are axially symmetrical about a certain straight line, the corresponding points must be in ()

A.Both sides of this straight line B.Same side of this straight line

C.On this straight line D.On both sides of the straight line or on the straight line

5. As shown in the figure, the pentagon ABCDE is an axially symmetrical figure with the straight line l as the axis of symmetry, then the following conclusion is wrong ()

A.AE is bisected perpendicularly by straight line l B.∠1=∠2

C.AB=ED D.BC=DE

6. As shown in the figure, △ABC and △A'B'C' are symmetric about the straight line l, and the following conclusions are drawn: (1) △ABC≌△A'B'C'; (2) ∠BAC=∠B'A'C ';(3)BC=B'C'; (4)AB=A'C'. The correct ones are ()

A. 4 B. 3

C.2 D.1

Keywords: Free download of Beijing Normal University version of seventh grade mathematics volume 2 PPT courseware, exploring the properties of axial symmetry PPT download, axial symmetry in life PPT download, .PPT format;

For more information about the PPT courseware "Axisymmetry in Life Exploring the Properties of Axial Symmetry", please click the Axial Symmetry in Life PPT Exploring the Properties of Axial Symmetry PPT tag.

"Exploring the Nature of Axisymmetry" Axisymmetric PPT teaching courseware in life:

"Exploring the Nature of Axial Symmetry" The first part of the Axisymmetric PPT teaching courseware in life: Learning objectives 1. Explore and master the properties of axial symmetry. (Key points) 2. Be able to use the properties of axial symmetry to make symmetrical points, symmetrical figures, and symmetry Axis, etc. (difficulty) ... ...

"Exploring the Nature of Axisymmetry" PPT download of Axisymmetry in Life:

"Exploring the Nature of Axial Symmetry" Download the Axisymmetric PPT in Life Part 1: Teaching Objectives 1. Understand the concepts and meanings of axial symmetry and axisymmetric graphics; 2. Be able to draw the symmetry axis of an axisymmetric graphic, and be able to determine whether a graphic is It is an axially symmetrical figure; 3...

"Exploring the Properties of Axisymmetry" Axisymmetric PPT Courseware 3:

"Exploring the Nature of Axial Symmetry" Axis Symmetry PPT Courseware 3 Preparation for the experimental operation before class: Fold a rectangular paper in half and use the tip of a pen to poke the number 14. Open the paper and lay it flat. Cooperation and communication: 1. In the picture, two 14 what is the relationship? 2. During the process of tying words, click E and...

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Update Time: 2024-07-29

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