高中数学人教必修二空间几何体的结构课

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1、1.1 空间几何体的结构 第一课时空间几何体及棱柱、棱锥的结构特征 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.知识探究(一):空间几何体的类型 如果我们只考虑物体的形状和大小, 而不

2、考虑其他因素,那么由这些抽象出 来的空间图形就叫做空间几何体.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Create

3、d with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.(2)(5) (7)(9)(13) (16)(14) (15)组成几何体的每个面 都是平面多边形 Evaluation only.Evaluation only. Created with Aspose.Slides

4、for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.(1) (8)(3) (6)(10) (4)(11) (12)组成它们的面不是 不全是几何图形 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Pr

5、ofile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.面 顶点棱由若干个平面 多边形围成的 几何体叫做多 面体 .Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides

6、 for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.轴由一个平面图 形绕它所在平面 内的一条定直线 旋转所形成的封 闭几何体叫做旋 转体 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profil

7、e 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspo

8、se Pty Ltd.知识探究(二):棱柱的结构特征 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.1、有两个面互相平行2、其余各面都是四边形3、每相邻两个四边形的公共边都互相平行Eva

9、luation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.有两个面互相平行,其余各面都是 四边形,每相邻两个四边形的公共边都 互相平行,由这些面围成的多面体叫做 棱柱. 知识探究(三):棱柱的概念 Eva

10、luation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.侧面顶点侧棱底面1、两个互相平行的面叫做棱柱的底面2、其余各面叫做棱柱的侧面3、相邻侧面的公共边叫做棱柱的侧棱4、侧面与底面的公共顶点叫做棱柱的顶

11、点.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.思考1:下列多面体都是棱柱吗?ABCDEA1B1C1D1E1ABCA1B1C1ABCDA1B1C1D1ABCDA1 B1C1D1Eval

12、uation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.思考2:如图,截面BCEF将长方体分割成 两部分,这两部分是否为棱柱? ABC DA1B1C1D1EFEvaluation only.Evaluat

13、ion only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.思考3:棱柱上、下两个底面的形状 大小如何?各侧面的形状如何?两底面是全等的多边形 各侧面都是平行四边形Evaluation only.Evaluation only. Created

14、with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.三棱柱、四棱柱、五棱柱、六棱柱、知识探究(四):棱柱的分类 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client P

15、rofile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.思考4:有两个面互相平行,其余各面都 是平行四边形的多面体一定是棱柱吗?思考5:一个棱柱至少有几个侧面?一个 N棱柱分别有多少个底面和侧面?有多少 条侧棱?有多少个顶点?Evaluation only.Evaluation only. Created with Aspose.Slides for .N

16、ET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.知识探究(五):棱柱的表示 Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.1、有一个面是多边形 2、其余各面都是有一个公共顶点的三角形知识探究(六): 棱锥的结构特征 Evaluation only.Evaluation only. Created wi

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