"Understanding Symmetry Phenomenon and Axisymmetric Figures" Movement of Figures PPT

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"Understanding Symmetry Phenomenon and Axisymmetric Figures" Movement of Figures PPT

Part One: Introduction to the topic

What kind of rides are there in the amusement park?

There is a lot of mathematical knowledge in these amusement projects. Today we will study the movement of graphics together.

These shapes all have a common mathematical feature in appearance. Can you spot it?

The shape is the same on both sides.

Understanding symmetry phenomena and axially symmetrical figures PPT, part 2: new teaching knowledge

Cut it.

Open the cut shape. Look, there's a crease in the middle.

The shapes cut out like this are all symmetrical, they are all axially symmetrical shapes.

We call this crease the axis of symmetry.

Knowledge points

1. Contact specific objects in life, and through observation, operation, and imagination, initially experience the symmetry phenomena in life, know the axis of symmetry, and understand some basic characteristics of axisymmetric figures. Can determine whether a figure is axially symmetrical.

2. In the process of understanding, making and appreciating axisymmetric figures, feel the symmetrical beauty of objects or figures, experience the fun of learning mathematics, and stimulate positive emotions towards mathematics learning.

Understanding symmetry phenomena and axisymmetric graphics PPT, the third part: knowledge sorting

Knowledge point 1: Judgment of axis versus graph

[Example 1] Which of the following figures are axisymmetric figures? Please put "√" in ( ).

[Explanation] If a shape is folded in half along a straight line and the shapes on both sides of the straight line can completely overlap, the shape is an axially symmetrical shape. The paper-cuts, triangles, sun diagrams and leaves in the above graphics are all axially symmetrical shapes.

[Method summary] To determine whether it is an axially symmetrical figure, you can first imagine whether the figure completely overlaps after being folded in half. If it overlaps, it is an axially symmetrical figure.

Knowledge point 2: Draw the axis of symmetry of an axially symmetrical figure.

[Example 1] Can you draw the axis of symmetry of the figure below?

[Explanation] The above two figures are both axially symmetrical figures. After folding these two figures, a crease is left. The straight line where the crease in the middle of the figure is located is the axis of symmetry of the figure. As shown below

【Example 2】Please continue.

[Method summary] To draw the axis of symmetry of an axisymmetric figure, first imagine where the fold of the figure is, where the crease is, and where the straight line of the symmetry axis is. (Note: The axis of symmetry is a dotted straight line)

Understanding symmetry phenomena and axisymmetric figures PPT, Part 4: Classroom exercises

1. Connect one after another, the shape of the folded figure.

2. Which of the following figures, letters or flags are axially symmetrical figures? Please mark "√" if yes.

3. The axis of symmetry of the axisymmetric figure below.

[Commentary] The axis of symmetry of an axially symmetrical figure is where the crease of the figure is after it is folded in half. The axis of symmetry is an imaginary straight line. The small tree and butterfly shapes are folded in half from the vertical direction, and the left and right sides can completely overlap, so the axis of symmetry is on the vertical line in the vertical direction; the snowflake shape can be completely overlapped after being folded in three directions, so it has three lines Symmetry axis.

Understanding symmetry phenomena and axially symmetrical figures PPT, Part 5: After-class exercises

1. Determine which of the following figures are axially symmetrical figures. If yes, put "√" in the brackets.

2. Among the flags below, the ones that are not axis-pair graphics are ( ).

[Explanation] Through observation, the first five-pointed star of the national flag is in the middle and can be completely overlapped when folded in half. The third one is similar to the first figure; the second vertically folded star will not overlap. If it is folded horizontally, the five-pointed star cannot be folded in half. So it is not an axisymmetric axis graph.

3. Please draw the axis of symmetry of the figure below.

4. Which piece of paper is the pattern below cut out from? Please continue.

[Answer] To answer this question, you need to rely on imagination to form an idea to answer the question.

When answering, you can think about what the shape of the paper above looks like after it is opened. The paper above looks like the following picture after it is opened:

By comparison, you can see that the pattern was cut out of the third sheet of paper.

Keywords: Free download of PPT courseware for mathematics in the second volume of the second grade of the People's Education Press, download of PPT on understanding symmetry phenomena and axially symmetrical graphics, download of PPT on the movement of graphics, .PPT format;

For more information about the PPT courseware "Movement of Graphics to Understand Symmetric Phenomenon and Axisymmetric Figures", please click the Motion of Graphics PPT to Understand Symmetric Phenomenon and Axisymmetric Figures PPT tag.

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Update Time: 2024-11-22

This template belongs to Mathematics courseware People's Education Press Second Grade Mathematics Volume 2 industry PPT template

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