"Axisymmetric Phenomenon" Axisymmetric PPT Courseware 3

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"Axisymmetric Phenomenon" Axisymmetric PPT Courseware 3

Can you quickly cut out a shape so that the left and right sides completely overlap? You can discuss it, or you can see how other students cut it.

Thinking: What are the characteristics of these graphics you cut out?

If a figure is folded along a straight line, and the parts on both sides of the straight line can overlap each other, the figure is called an axially symmetric figure (symmetric figure), and this straight line is its axis of symmetry.

Axisymmetric graphics Two graphics are axially symmetrical

The difference between one graph and two graphs

Contact 1. After folding along a straight line, the parts on both sides of the straight line can overlap with each other.

2. All have an axis of symmetry (at least one)

3. If an axially symmetrical figure is divided into two figures along the axis of symmetry, then the two figures are symmetrical about this line; conversely, if two axially symmetrical figures are regarded as one figure, then the figure is an axially symmetrical figure. .

Thinking: Are two axially symmetric figures congruent? If an axisymmetric figure is divided into two figures along the axis of symmetry, are the two figures congruent? Are these two shapes symmetrical?

think about it

1. Are two axially symmetric figures necessarily congruent? Are two congruent figures necessarily symmetrical?

2. What is the connection and difference between an axially symmetrical figure and the axially symmetrical formation of two figures?

Connection: An axially symmetrical figure is divided into two figures along the symmetry axis to form an axially symmetrical figure; when the two axially symmetrical figures are regarded as a whole, it is an axially symmetrical figure.

Difference: an axially symmetrical figure refers to a figure with a special shape; axial symmetry between two figures means that the two figures have a special positional relationship.

summary:

What did you gain from studying this lesson?

1. The concept of axisymmetric graphics

2. The concept of two figures forming axial symmetry

3. The difference and connection between the two

4. Find the axis of symmetry and corresponding points of the axially symmetrical figure

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"Axisymmetric Phenomenon" Axisymmetric PPT Courseware 2:

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Update Time: 2024-11-01

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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