自高中新课程引入空间向量以来,空间向量作为研究立体几何的强有力的工具,给立体几何问题的研究注入了新的生机和活力,开辟了很多解题的新途径、新方法、新思路.坐标向量法或基底向量法是解答立体几何的通性通法,它大大降低了综合法(即传统的几何法)中“一作、二证、三计算”的解题难度,节省了思考时间,尤其是用法向量求解二面角,不论二面角的开口方向如何,不管两个半平面的“形状”怎样, Since the introduction of space vector into high school and new curriculum, space vector, as a powerful tool for studying solid geometry, has injected new vigor and vitality into the study of solid geometry problems and opened up many new ways, new methods and new ideas for solving problems. The coordinate vector method or the base vector method is the general method of solving the three-dimensional geometry, which greatly reduces the difficulty of solving the problem of “one for one, two cards, three calculations” in the comprehensive method (ie, the traditional geometric method), saves thinking The time, especially the usage vector, solves the dihedral angle regardless of the opening direction of the dihedral, regardless of the “shape” of the two half-planes,