| Category | Format | Size |
|---|---|---|
| Beijing Normal University Ninth Grade Mathematics Volume 2 | pptx | 6 MB |
"Side Area of a Cone" Circle PPT Courseware 2
Description
"Side Area of a Cone" Circle PPT Courseware 2
Cone formation:
1. Right triangle rotates around the right side
2.Fan-shaped enclosure
What does the side expansion of a cone look like?
It is a fan shape.
Fill in the blanks based on the relationship between sectors and cones:
As shown in the figure, assuming the length of the cone's generatrix is l and the radius of the base is r, then the radius (R) of this sector is ________,
The arc length (L) of the sector is ________, so the side area (S side) of the cone is ________;
If the base radius of the cone is r and the generatrix length is l, then its side area (S side) ________.
Calculating the side area of a cone in life
The base diameter of the conical chimney cap is 80cm, and the busbar length is 50cm.
(1) Draw its expansion diagram;
(2) Calculate the central angle and area of this expanded diagram.
For a conical part, the cross section through the axis is an isosceles triangle, its waist length is equal to the length of the cone's generatrix, and its base length is equal to the diameter of the base of the cone.
(1) The busbar length of conical parts;
(2) Cone angle (that is, the vertex angle of an isosceles triangle) a;
(3) Surface area of the part.
It is known that the diameter of the base of the cone is 80cm and the length of the busbar is 90cm. Find the central angle and surface area of its side expansion diagram.
It is known that the length of the cone's generatrix AB=6cm, and the radius of the base OB=2cm.
Find: (1) the height of the cone; (2) the cone angle ∠CAB.
in conclusion:
If the axial section of a cone is an equilateral triangle, then the side expansion of the cone is a semicircle.
Double solution problems related to circles
In Rt△ABC, AB=6, BC=8, then the diameter of the circumcircle of this triangle is _____.
It is known that ⊙O1 is tangent to ⊙O2, and the radius of ⊙O1 is 6cm, and the distance between the centers of the two circles is 8cm, then the radius of ⊙O2 is __________.
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"Side Area of a Cone" Circle PPT Courseware 3:
"Side Area of a Cone" Circle PPT Courseware 3 Teaching Objectives Knowledge and Ability To enable students to understand the concept of regular polygons and initially master the first theorem of the relationship between regular polygons and circles. Through the teaching of regular polygon definitions, students will be trained in induction, observation, reasoning, Migration capabilities. ..
"Side Area of a Cone" Circle PPT courseware:
"Side Area of a Cone" Circle PPT courseware review Communicate with peers about the concepts of cones A cone is surrounded by a base and a side. Its base is a circle and its side is a curved surface. Explore new knowledge. The side expansion of a cone is a fan-shaped sector. Radius: cone..
"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...
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Update Time: 2024-06-28
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