"Translation" Intersecting Lines and Parallel Lines PPT Courseware 2

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"Translation" Intersecting Lines and Parallel Lines PPT Courseware 2

think

What do the following motion phenomena have in common?

Phenomenon 1 Xiaohua rides a bicycle along the straight road to school every day

Phenomenon 2 In tourist attractions, you can often see people taking cable cars up or down the mountain along the cableway.

Phenomenon 3 In the factory, products flow neatly from one production station to another along the production line on the conveyor belt.

Phenomenon 4 In stations and department stores, people take escalators to go up or down stairs.

Now can you answer the question just asked?

1. What do these patterns have in common?

2. Can the entire pattern be drawn based on one part of the above patterns? If so, can you imagine how it was drawn?

The concept of translation: moving a figure a certain distance along a certain straight line in a plane. This movement of the figure is called translation transformation, or translation for short.

Properties: (1) If you move a figure as a whole along a certain straight line, you will get a new figure, which has exactly the same shape and size as the original figure.

To put it simply: the shape and size of the graphic will not change after translation.

The direction of graphic translation is not necessarily horizontal or vertical;

The second major feature of translation:

Each point in the new figure is obtained by moving a certain point in the original figure. These two points are corresponding points, and the line segments connecting each group of corresponding points are parallel and equal.

Simply put: the line segments connecting each set of corresponding points are parallel and equal.

1. Translation changes the graphics ( )

A location B size C shape D location, size and shape

2. After translation, the line segments connected to the corresponding points ( )

A parallel B equal C parallel and equal D neither parallel nor equal

3. After translation, each point on the graph has moved a certain distance in the same direction. The following statement is correct ( )

A different points move different distances B may be the same or different C different points move the same distance D cannot be determined

Learning experience

After studying this class, please talk about your gains.

(1) What main knowledge did you learn in this class?

If you move a graphic as a whole along a certain straight line, you will get a new graphic, which has exactly the same shape and size as the original graphic.

Each point in the new figure is obtained by moving a certain point in the original figure. These two points are corresponding points, and the line segments connecting each group of corresponding points are parallel and equal.

This movement of graphics is called translation transformation, or translation for short.

(2) Pay attention to cultivating the awareness of using the knowledge you have learned to solve practical problems.

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Update Time: 2024-10-18

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

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