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解决立体几何问题有综合推理与空间向量的方法,其中利用空间向量法可回避经过作图—证明—计算等复杂的推理过程,为一些用传统方法解决技巧性大、随机性较强的问题提供了通法.本文拟对2010年高考题空间向量在立体几何中有关线线、线面、面面所成角的问题的应用进行归纳和说明,以帮助同学们加深对这类问题的理解.一、异面直线所成的角考点若AB、CD为两条异面直线,(?),(?)分别为它们的方向向量,那么AB、CD所成
The method of solving three-dimensional geometric problems is general reasoning and space vector, in which the use of spatial vector method can be avoided through the complex process of mapping - proof - calculation and other inference, for some traditional methods to solve the highly technical, random problem The general method.This paper intends to 2010 college entrance examination space vector in the solid geometry of the line, surface, face angle formed by induction and description to help students deepen their understanding of such issues. First, the angle formed by the cross-section of a straight line If AB, CD for the two straight lines, (?), (?), Respectively, for their direction vector, then AB, CD