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1、LOGO空间几何体的斜二测画法数学必修二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.空间几何体的斜二测画法上节课我们学习了空间几何体的三视图,根据三视图我们可以推测所表示的空 间几何体
2、的形状,但是,三视图缺乏直观性,为了解决这个问题,我们今天就一起学 习下空间几何体的直观图及其画法。BCDA这样把空间图形画在平面内,使之富有立体感,同时还能表达各主要部分 的位置关系以及度量关系。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.Copyri
3、ght 2004-2011 Aspose Pty Ltd.空间几何体的斜二测画法空间几何体的直观图是一种平行投影下的图像,一般我们采用斜二测画法来作 空间几何体的直观图。下面就让我们通过一个具体的例子来看下什么是斜二测画法 以及它的作图要点和步骤。例用斜二测画法画水平放置的六边形的直观图 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.
4、0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.空间几何体的斜二测画法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
5、 Aspose Pty Ltd.空间几何体的斜二测画法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.空间几何体的斜二测画法Evaluation only.Evaluation only.
6、 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.空间几何体的斜二测画法Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2
7、.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.空间几何体的斜二测画法(1)在已知图形中取互相垂直的x轴和y轴,两轴相交于o点画直观图时,把它画成对应的x轴、y轴,使,它确定的平面表示水平平面。(2)已知图形中平行于x轴或y轴的线段,在直观图中分别画成平行于x轴或y轴的线段(3)平面图形中平行于x轴的线段,在直观图中保持原长度不变;平行于y轴的线段,长度为原来的一半斜
8、二测画法的步骤:小结:“横同,竖半, ”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.关于水平放置的圆的直观图的画法,常用正等测画法 在实际画水平放置的圆的直观图时,通常使用椭圆模版Ev
9、aluation 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.空间几何体的斜二测画法思考: 那么对于立体的图形我们该如何画呢?BCDA同样,让我们通过一个例题来具体说明下。Evaluation only.E
10、valuation 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.空间几何体的斜二测画法例2 用斜二测画法画长、宽、高分别为4CM、3CM、2CM 的长方体的直观图Z说明:注意建系的原则Evaluation only.Evaluation
11、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.空间几何体的斜二测画法说明:先在地面上用斜二测画法 做出长方体的一个底面Evaluation only.Evaluation only. Created with Aspose.Slides f
12、or .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.空间几何体的斜二测画法说明:平行于Z轴的长度和平行的性 质都保持不变Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.C
13、reated 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.空间几何体的斜二测画法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
14、.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.空间几何体的斜二测画法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
15、Aspose Pty Ltd.思考:画棱柱、棱锥的直观图大致可分几个步 骤进行?画轴 画底面成图画侧棱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.空间几何体的斜二测画法例3已知几何体的
16、三视图,用斜二测画法画出 它的直观图正视图侧视图俯视图 由三视图可知:该几何 体是怎么的一个组合体 ? 如何画出一个圆柱的直 观图? 如何画出一个圆锥的直 观图? 思考三视图与直观图有 何关系?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.空间几何体的斜二测画法侧视图俯视图正视图Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slide