"Three Views" Projection and View PPT Courseware 3

Description

"Three Views" Projection and View PPT Courseware 3

learning target

1. Go through the process of abstracting geometry from physical objects and further develop the concept of space.

2. Be able to draw three-dimensional views of cylinders, cones, and spheres, and experience the mutual transformation between these geometric entities and their views.

Knowledge explanation

1.What is projection?

Generally, when an object is illuminated with _____, the shadow obtained on _____ is called the projection of the object.

2. Classification of projection:

Projections formed by _____ are parallel projections (such as sunlight);

A projection formed by _____ is a central projection (such as a light bulb)

When we observe an object from a certain angle, the image we see is called a view of the object.

In life, we should look at one thing and analyze one thing from different angles and multiple aspects.

We use three mutually perpendicular planes (for example: three walls at the corner) as the projection surface, where:

The one facing us is called the front, the one below the front is called the horizontal plane, and the one on the right is called the side.

Given the top view, draw its front view and left view.

1. The picture below is a top view of a triangular prism whose base is an isosceles right triangle. Try to draw its front view and left view, and communicate with your peers.

Do this: given the top view, draw its front view and left view.

2. The picture below is a top view of a quadrangular prism with an isosceles trapezoid base. Try to draw its front view and left view, and communicate with your companions.

Practice in class

1. (2010 Bengbu High School Entrance Examination) There is a cube with the numbers 1, 2, 3, 4, 5, and 6 written on its six sides respectively. The results observed by three people from different angles are as shown in the picture. If you remember the number opposite to 6 is a, and the number opposite 2 is b, then the value of a+b is ( )

A． 3B. 7C. 8D. 11

Answer:B

2. (2010 Anhui High School Entrance Examination) As shown in the figure, among the following four geometric bodies, only two of the front view, left view, and top view are the same ( )

Answer:D

3. (2010·Wuhu High School Entrance Examination) The three views of a geometric body are as shown in the figure, then this geometric body is ( )

Answer:A

Summary of this lesson

1. Three views

Front view - as seen from the front

Left view - view from the left

Top view - picture seen from above

2. When drawing three views of an object, the following principles must be followed:

Position: Front view Left view Top view

Size: length is aligned, height is equal, and width is equal.

3. When drawing a picture, the outline of the visible part is usually drawn as a solid line, and the outline of the invisible part is usually drawn as a dotted line.

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Update Time: 2024-11-21

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

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