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[2013届高考数学一轮复习讲义:8.6立体几何中的向量方法证明平行与垂直
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. 点、线、面之间的位置关系 空间几何体 空间几何体的结构 空间几何体的体积、表面积 柱、锥、台、球的结构特征 三视图与直观图的画法 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. 1.线线、线面、面面间的平行关系 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 2.线线、线面、面面间的垂直关系 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 空间角 线线角 线面角 面面角 图形 角的范围 计算公式 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. 例1. 如图,在四棱锥P-ABCD中,底面ABCD是正方形,侧棱PD⊥底面ABCD,PD=DC,E是PC的中点,作EF ⊥PB交PB于点F. (1)求证:PA∥平面EDB; (2)求证:PB ⊥平面EFD; (3)求二面角C-PB-D的大小. D A B C E P F Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. B D P E G 解:如图所示建立空间直角坐标系,点D为坐标原点,设DC=1. (1)证明:连结AC, AC交BD于点G, 连结EG, A C Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. B P E 解:如图所示建立空间直角坐标系,点D为坐标原点,设DC=1. (1)证明: A C 方法二: D Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. B P E 解:如图所示建立空间直角坐标系,点D为坐标原点,设DC=1. (1)证明: A C 方法三: D Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. B P E F 解:如图所示建立空间直角坐标系,点D为坐标原点,设DC=1. A C D Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyrigh
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