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

Description

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

teaching objectives

knowledge and abilities

Arc length and sector area will be calculated.

Be able to calculate the lateral area and total area of ​​a cone, and use this knowledge to solve related problems.

Know the relationship between the lateral area of ​​a cone and the sector area.

Process and Method

Explore the calculation methods and problem-solving rules of arc length, sector shape and the area of ​​their combined shapes through drawing, recognizing pictures and reading figures.

In the process of exploring the arc length formula and sector area formula, you can experience the mathematical thinking method of "from the specific to the general".

Emotional attitudes and values

Experience the joy of success in cooperation and communication.

After studying the knowledge in this section, focus on the mathematical thinking from "special to general". How to use arc length to represent the area of ​​a sector?

The penetration and application of thinking methods can cultivate students' ability to summarize and reason.

The radius of a rotating wheel on a conveyor belt is 10cm.

(1) How many centimeters is item A on the conveyor belt conveyed when the wheel rotates once?

(2) When the wheel rotates 1°, how many centimeters is the item A on the conveyor belt conveyed?

(3) When the wheel rotates n°, how many centimeters is the item A on the conveyor belt conveyed?

learn by analogy

(1) The arc length formula involves three quantities, the arc length, the degree of the central angle, and the radius of the arc. If you know two of the quantities, you can find the third quantity.

(2) When the problem involves multiple unknown quantities, consider using a system of equations to solve it

example

There is a pillar on an open grass field. A 3m long rope is tied to the pillar, and a dog is tied to the other end of the rope.

(1) What is the maximum activity area of ​​this dog?

(2) If the dog can only turn n° angles around the pole, what is its maximum activity area?

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

"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 is the line segment connecting the vertex and the center of the base. 2. The generatrix l of the cone connects the vertices of the cone and...

File Info

Update Time: 2024-10-15

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

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