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序言从近几年各地高考试题分析,立体几何题型一般是一个解答题,2至3个填空或选择题.解答题一般与棱柱和棱锥相关,主要考查线线关系、线面关系和面面关系,其重点是考查空间想象能力和推理运算能力,其解题方法一般都有两种以上,并且一般都能用空间向量来求解.近几年凡涉及空间向量应用于立体几何的高考试题,都着重考查应用空间向量求异面直线所成的角、二面角,证明线线平行、线面平行和证明异面直线垂直和线面垂直等基本问题.
Preamble In recent years from around the college entrance examination test analysis, the three-dimensional geometry is generally a question type questions, 2-3 fill in the blank or multiple choice questions. Answer questions generally related to the prism and pyramid, the main line of inspection relations, line surface and surface Relationship, the focus is to examine the spatial imagination and inferential computing power, the problem-solving methods are generally more than two, and generally can be used to solve the space vector.In recent years, involving space vector applied to the three-dimensional geometry of the college entrance examination questions, Both of them focus on examining the angles and dihedral angles formed by finding different lines with space vector, proving the basic problems such as parallel lines, parallel lines and proving the perpendicularity of perpendicular lines and perpendicular lines.