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高一数学《1.2空间几何体的三视图和直观图》_图文

1.2 空间几何体的三视图和直观图(1)
主讲:吴 迪
湖南省长沙市一中卫星远程学校

新课讲授
阅读教材P11 ~ P13回答下列问题: 1.什么叫投影、投影线、投影面? 2.什么叫中心投影? 3.什么叫平行投影、正投影、斜投影?
湖南省长沙市一中卫星远程学校

课堂练习

如图:在正方体ABCD ? A1B1C1D1中,E,F分别 是AA1,C1 D1的 中 点 ,G是 正 方 形BCC1 B1的 中 心 , 则四边形AGFE在该正方体的各个面上的投影可
能是图乙中的哪几个?

D1 F C1

A1

B1

ED A

G C①
B



②③④ 乙
湖南省长沙市一中卫星远程学校

新课讲授
阅读教材P11 ~ P13回答下列问题: 4.什么叫正视图、侧视图、俯视图、三视图?
5.你能画出圆柱、圆锥、棱锥、球的三视图吗?
湖南省长沙市一中卫星远程学校

思考题
如图P ? ABCD是一个底面是边长为1的正方形, 侧面都是等边三角形的四棱锥.请画出其三视图, 并描述三视图的边的大小.
P

A

D

B

C

湖南省长沙市一中卫星远程学校

课堂小结
本节课我们学习了中心投影概念及三视 图画法,重点掌握以下几点:
①平行投影中的正投影,斜投影的联想与 区间; ②简单几何图的三视图的画法 正投影法(压缩法): 上相等,高平齐,宽相等.
湖南省长沙市一中卫星远程学校

课后作业
《习案》《学案》
湖南省长沙市一中卫星远程学校


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