综观教辅等学习资料和各级试卷立体几何题的设计到其标准答案的拟定,一般都是以向量中的“坐标法”与传统的几何法的综合为依据的,这不仅从根本上使包括向量的线性运算在内的“回路法”(回路是指向量从一点出发,通过一条封闭的折线路径又回到原点的那条通路)、“数量积”等非坐标运算的向量被边缘化,而且有被忽视的感觉,从而导致教师不注重立体几何非坐标运算的向量教学,要么一带而过,要 Looking at the teaching materials such as supplementary teaching and examination papers at all levels of three-dimensional geometric design to the formulation of the standard answers, are generally based on vector “coordinate method” and the traditional geometric method based on the comprehensive, not only from the fundamental (Loop refers to the path from which the vector starts from a point and returns to the origin via a closed polyline path), non-coordinate such as “number product”, etc. The vector of computing is marginalized, and there is a feeling of being neglected, which leads teachers not to pay attention to the vector teaching of the non-coordinate arithmetic of the three-dimensional geometry.