"Side view of a right prism" PPT courseware

Description

"Side view of a right prism" PPT courseware

learning target:

1. Know the relevant elements and structural characteristics of prisms;

2. Know how to represent prisms;

3. Know that the side view of a prism is a rectangle;

4. Ability to use side expansion diagrams to solve simple problems.

New course introduction

Classification of prisms

According to the number of sides of the polygon on the base of the prism, the base of the prism can be a triangle, a quadrilateral, a pentagon...

Such prisms are called three prisms, four prisms, and five prisms...

Each face of a prism is a polygon and a prism is a polyhedron

Knowledge explanation

According to whether the side edge is perpendicular to the bottom surface, it can be divided into:

(1) A prism whose side edges are not perpendicular to the base is called an oblique prism.

(2) A prism whose side edges are perpendicular to the base is called a right prism.

How to represent a prism

Prisms are usually represented by letters representing the vertices of the base.

Prism ABCD- A1B1C1D1

Knowledge induction

The side view of a prism is a rectangle, the width of the rectangle is equal to the length of the side edges of the prism, and the length of the rectangle is equal to the circumference of the prism.

Dialysis of typical cases

As shown in the figure, the upper and lower bases of a right triangular prism are right triangles. Please calculate the area of ​​the expanded surface of the right triangular prism based on the data marked in the figure.

Solution: In the right angle △ABE, according to the Pythagorean theorem, we get

AB=√AE²+√BE²=√4²+√3²=5

Then the area of ​​the right prism

=2×1/2×3×4+4×6+3×6+5×6=84 (cm2).

Summary of this lesson

Relevant concepts and simple properties of prisms, and understanding the base and side edges of prisms.

Side development and surface development of a prism, imagining the actual object described based on the development.

Draw a simple unfolded side view of a prism and calculate the side area and surface area of ​​the prism.

Understand the side expansion diagram of a prism, and experience the mutual transformation of spatial graphics and plane graphics.

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For more information about the "Side Development of a Right Prism" PPT courseware, please click the "Side Development of a Right Prism" ppt tag.

"Side expansion view of a right prism" PPT courseware 2:

"Side Development of a Right Prism" PPT Courseware 2 Learning Objectives: 1. Know the relevant elements and structural characteristics of a prism. 2. Know the representation method of a prism. 3. Know that the side development of a prism is a rectangle. 4. Be able to use side development Figure solves simple problems. Classification of prisms..

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Update Time: 2024-06-25

This template belongs to Mathematics courseware Qingdao Edition Ninth Grade Mathematics Volume 2 industry PPT template

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