"Three Views of Objects" PPT Courseware 3

"Three Views of Objects" PPT Courseware 3
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Qingdao Edition Ninth Grade Mathematics Volume 2 pptx 6 MB
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"Three Views of Objects" PPT Courseware 3

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"Three Views of Objects" PPT Courseware 3

Do it

1. The two pictures shown in the figure are top views of the geometry built by several small cubes. The numbers in the small squares indicate the number of small cubes at that position. Please draw the front view and left view of the corresponding geometry. .

2. As shown in the figure, it is a top view of a geometry made up of several small cubes. The number in the small square indicates the number of small cubes at that position. Please draw the front and left views of the geometry.

3. As shown in the figure, it is a top view of the geometry built by several small cubes. The number in the small square indicates the number of small cubes at that position. Please draw the front view and left view of the corresponding geometry.

give it a try

1. Can you place the corresponding cube combination based on the three views below?

2. What does a building built based on the three views below look like? How many floors are there? How many small cubes are needed in total?

try it

Use small cubes to build a geometric body so that its front view and top view are as shown in the figure.

Is there only one such geometry? How many small cubes does it need at least?

How many small cubes are needed at most?

The minimum number required for one of the swing methods:

3+2+1+1+1+1+1=10

The maximum number of small cubes required:

3+3+3+2+2+2+1=16

Thinking questions

How many ways are there to place the geometry that satisfies the front view and top view in "Try It" with the minimum number of pieces?

summary

1. Draw three views of the geometric combination.

2. Draw the other two views based on the top view and the number of small cubes.

3. Given three views, find the total number of small cubes.

4. Given two attempts, find the maximum and minimum number of small cubes.

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For more information about the "Three Views of an Object" PPT courseware, please click the "Three Views of an Object" ppt tag.

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Update Time: 2024-09-06

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