"Several Common Geometries" PPT courseware

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Qingdao Edition Ninth Grade Mathematics Volume 2	pptx	6 MB

"Several Common Geometries" PPT courseware

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Upload Time: 2024-10-02

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Description

"Several Common Geometries" PPT courseware

learning target:

1. Classify common geometric objects (prisms, pyramids).

2. Know the concept of polyhedron.

3. Understand the relationship between the edges, vertices and number of faces of a polyhedron.

Classification of prisms

According to the number of sides of the polygon on the base of the prism,

The base of a prism can be a triangle, quadrilateral, pentagon,...

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

Prisms can also be divided into: straight prisms and oblique prisms

Classification of pyramids

Classification of pyramids:

According to the number of sides of the base polygon, it can be divided into three pyramids, four pyramids, five pyramids,...

polyhedron

Prisms, pyramids, and pyramids are all geometric entities surrounded by some planar polygons.

A geometric body surrounded by several planar polygons is called a polyhedron.

The individual polygons that surround a polyhedron are called faces of the polyhedron.

The common edge of two adjacent faces is called the edge of the polyhedron.

The common point between edges is called the vertex of the polyhedron.

Four common geometric surface area and volume formulas

1. Cuboid

Surface area = 2 (ab+bc+ca)

Volume = abc (a, b, c are length, width and height respectively)

2. Cube

Surface area=6a²

Volume = a³ (here a is the edge length of the cube)

3.Cylinder

Side area=2πRh

Total area=2πRh+2πR²=2πR(h+R)

Volume=πR²h

(Here R represents the radius of the circle at the base of the cylinder, h represents the height of the cylinder)

4. Cone

Side area=πRl

Total area=πRl+πR²

Volume = 1/3πR²h (where R, l, h represent the radius, bus length and height of the base circle of the cone)

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Update Time: 2024-10-02

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"Several Common Geometries" PPT courseware