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空间向量是解决立体几何问题的重要工具之一,而利用空间向量的坐标运算来解决立体几何中的位置关系和角与距离的有关计算问题,能把立体几何问题“程序化”且化为我们最熟悉的代数运算,为快速解题带来极大方便.下面我们通过实际例子来体验“向量坐标化”在解决立体几何问题中的应用.
Space vector is one of the important tools to solve the problem of solid geometry. The coordinate calculation of space vector is used to solve the position relationship and the related calculation problems of angle and distance in the three-dimensional geometry. It can “programize” the three-dimensional geometry problem. For the algebraic operations we are most familiar with, it is very convenient for solving problems quickly. Here we use the actual examples to experience the application of “vector coordinate” in solving the problem of solid geometry.