[高一数学必修二2.3.3.ppt

个旧三中 王春芳制 X Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 1、根据定义，一条直线与一个平面垂直，则这条直线和平面 内 。 任意一 条直线都垂直 2、在空间中，垂直于同一直线的两条直线互相平行。 3、垂直于同一平面的两直线互相平行。 1、在平面中，垂直于同一直线的两条直线互相平行。 4、垂直于同一条直线的两平面互相平行。 判断下列命题是否正确： √ × √ √ 性质定理 2、根据判定定理，要判定直线与平面垂直，只需在 内找出 都与这条直线 。 平面 两条相交直线 垂直 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 知识与技能 使学生掌握直线与平面垂直的性质：垂直于同一平面的两条直线平行，并会用性质定理解答问题。 过程与方法 培养学生的几何直观能力，使他们在直观感知，操作确认的基础上学会归纳、概括结论。 情感态度与价值观 培养学生学会从“感性认识”到“理性认识”过程中获取新知。 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. （1）如图，长方体ABCD—A1B1C1D1中，棱AA1，BB1， CC1，DD1所在直线都垂直于平面ABCD，它们之间具 有什么位置关系？ A A1 B C D B1 C1 D1 互相平行 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. （2）如图，已知直线a,b和平面? ，如果a⊥?,b⊥?，那么，直线a,b一定平行吗？ ? 证明： O 反证法 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 线面垂直的性质定理： 符号语言： 图形语言： 垂直于同一平面的两直线互相平行。 a b α Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile