[2014创新设计二轮专题复习常考问题8.ppt

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[2014创新设计二轮专题复习常考问题8.ppt

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[2014创新设计二轮专题复习常考问题8

常考问题8　平面向量的线性运算及综合应用 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 　　　 [真题感悟] 　[考题分析] 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. 2．两非零向量平行、垂直的充要条件设a＝(x1，y1)，b＝(x2，y2)， (1)若a∥b?a＝λb(λ≠0)；a∥b?x1y2－x2y1＝0. (2)若a⊥b?a·b＝0；a⊥b?x1x2＋y1y2＝0. 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. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 5．根据平行四边形法则，对于非零向量a，b，当|a＋b|＝|a－b|时，平行四边形的两条对角线长度相等，此时平行四边形是矩形，条件|a＋b|＝|a－b|等价于向量a，b互相垂直，反之也成立． 6．两个向量夹角的范围是[0，π]，在使用平面向量解决问题时要特别注意两个向量夹角可能是0或π的情况，如已知两个向量的夹角为钝角时，不单纯就是其数量积小于零，还要求不能反向共线． Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 热点与突破 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. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 答案　－12 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. [规律方法] 求数量积的最值，一般要先利用向量的线性运算，尽可能将所求向量转化为长度和夹角已知的向量，利用向量的数量积运算建立目标函数，利用函数知识求解最值． 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. Evaluation only. Created with Aspose.Slides