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立体几何学是研究空间中的点线面体之间关系的一门学科。立体几何问题是高中数学重要的组成部分,大部分的立体几何问题比较灵活,对解题者思维敏捷程度的要求较高。空间向量法在解题的程序化与降低解题难度方面做出了巨大的贡献;辅助线法在加快解题速度和节省时间方面成效显著;平面束方程法在求解线与面之间关系类型题目方面收效颇丰。本文提出了解空间几何题目常用的三种方法:空间向量法、辅助线法和平面束方程法,并通过几个问题进行分析、求解。
Stereo geometry is a discipline that studies the relationship between point and line surfaces in space. Three-dimensional geometry is an important part of high school mathematics, most of the three-dimensional geometric problems more flexible, higher requirements for solving the problem of thinking more agile. Space vector method has made tremendous contribution to solving the problem of programming and reducing the difficulty of solving problems; the auxiliary line method has achieved remarkable results in accelerating the speed of solving problems and saving time; and the plane beam equation method The problem is quite fruitful. This paper presents three methods commonly used to solve the problem of space geometry: the space vector method, the auxiliary line method and the plane beam equation method, and analyzes and solves it through several problems.