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www.7868l.com:2013年浙江省富阳市第二中学高一数学同步课件《三视图》(新人教A版必修2)_图文

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1.如图,一个几何体的主视图与左视图都 是边长为2的正方形,其俯视图是直径为2 的圆,则该几何体的表面积为____ ___.

主视图

左视图

俯视图

2.一个三棱锥的三视图是三个直角三角

形,如图所示,则该三棱锥的外接球的

表面积为



3
4
主视图

2
左视图

俯视图

3.一个几何体的三视图及其尺寸 如右图所示(单位:cm),则该几 何体的体积是 ▲ cm3.

4.如图,一个空间几何体的正视图,左 视图,俯视图为全等的等腰直角三角形, 如果等腰直角三角形的直角边长为1,那 么这个几何体的体积为 ▲ .

5.一个几何体的三视图如右图所示,其 中正视图中△ABC是边长为2的正三角形, 俯视图为正六边形,那么该几何体的侧 视图的面积为______________.

6.已知几何体的三视图如图所示, 则该几何体的表面积为_________
2

4

4

4

4

7如图是一个几何体的三视图,根据 图中数据,可得该几何体的体积是
3
4
3

8.一个空间几何体的三视图及有关尺寸 如右上图所示,则此几何体的侧面积为

3

4

4

9、已知某几何体的三视图如下图所 示,其中侧视图是边长为2的正三角 形,正视图是矩形,且AA1=3 ,作出 该几何体的直观图并求其体积

10.已知一个正三棱锥P-ABC的主视图 如图所示,则此正三棱锥的侧面积等于 ___________
P

6

A

C

B

33


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