"Expanded Figure" Projection and View PPT Courseware

Description

"Expanded Figure" Projection and View PPT Courseware

learning target

1. Experience the process of converting three-dimensional graphics into two-dimensional graphics;

2. Through observation, imagination and hands-on experience, discover the three views and expanded views of three-dimensional figures;

3. Develop the concept of space in folding;

4. Try to explain the rationality of the guess results.

What is three views

1. Viewed from the front (main view)

2. Viewed from the side (left view)

3. View from above (top view)

view

In seventh grade (Part 1), we have learned three views of a cube and its simple combinations. Do you remember which three views they are? Can you draw the front, left and top views of the picture below?

Note: There are certain requirements for drawing three views. The main view reflects the length and height of the object, the top view reflects the length and width of the object, and the left view reflects the height and width of the object. Therefore, when drawing three views, the main and top views must be longer. For alignment, the height of the main and left views should be equal, and the width of the left and top views should be equal.

⒈Do you recognize the geometry in the picture?

⒉Can you imagine their front view, left view and top view?

⒊Can you draw them?

Do it: A top view of a geometry made of several identical small cubes is as shown in the figure. The number in the square represents the number of small squares at that position. Please draw three views of this geometry.

Please practice

1. The three views of two objects are as shown in the figure. Please tell their shapes respectively.

2. The top view of a geometric body made of several identical small cubes is as shown in the figure. The number in the square represents the number of small squares at that position. Please draw three views of this geometric body.

Hands

Use small cubes to build a geometric body so that its front view is as shown in the figure. Is there only one such geometric body? How many small cubes does it have at least? How many cubes are needed at most? Put it around and give it a try.

Inquiry activities

Use 6 identical small squares to build a geometric body. Its top view is shown in Figure 3-25. There are several rescue methods of different shapes (you can try it with physical models)? Can you use three views? Does it represent the results of your inquiry?

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Update Time: 2024-09-28

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

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