"Side Area and Total Area of ​​a Cone" Circle PPT Courseware 2

Description

"Side Area and Total Area of ​​a Cone" Circle PPT Courseware 2

A cone is surrounded by a base and a side. Its base is a circle and the side is a curved surface.

1.The height h of the cone

The line segment connecting the vertex to the center of the base.

2. Generatus l of the cone

The line segment connecting the vertex of the cone to any point on the circumference of the base is called the generatrix of the cone.

Thinking: How many generating lines are there in a cone?

Explore new knowledge

Question 1:

1. Expand the side of a cone along the generatrix of the cone to obtain a fan shape. What is the relationship between the arc length of this fan shape and the circumference of the base?

Question 2:

2. The side expansion of a cone is a fan shape. The radius of this fan shape is equal to which line segment in the cone?

Side area and total area of ​​a cone

The side area of ​​a cone is the area of ​​a sector whose arc length is the circumference of the base of the cone and whose radius is one of the generatrix of the cone.

The total area of ​​the cone = the side area of ​​the cone + the base area.

Practice in class

1. It is known that the base radius of a cone is 12cm and the bus length is 20cm. Then the side area of ​​the cone is _________ and the total area is __________

2. A cone-shaped ice cream cone has a bottom diameter of 6cm and a height of 4cm. The area of ​​paper required to surround such an ice cream cone is ( )

A.66πcm² B.30πcm²

C.28πcm² D.15πcm²

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"Side Area and Total Area of ​​a Cone" Circle PPT courseware:

"Side Area and Total Area of ​​a Cone" Circle PPT courseware teaching objectives knowledge and ability to calculate arc length and sector area. Be able to calculate the lateral area and total area of ​​a cone, and be able to use this knowledge to solve related problems. Know the lateral area of ​​a cone and the relationship between sector area..

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Update Time: 2024-10-16

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 1 industry PPT template

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