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空间向量为处理立体几何问题提供了许多新的解法,运用空间向量解决立体几何问题,有利于学生克服空间想象力的障碍和空间作图的困难,空间向量包括基向量和坐标向量.利用空间向量的坐标运算解立体几何问题,可把抽象的几何问题转化为代数计算问题,并具有很强的规律性和可操作性,而利用空间向量的坐标运算需先建立空间直角坐标系,但建立空间直角坐标系有时要受到图形的制约,在立体几何问题中很难普遍使用,其实向量的坐标形式只是选取了特殊的基底,
Spatial vectors provide many new solutions to the problem of three-dimensional geometry. The use of space vectors to solve the problem of three-dimensional geometry will help students to overcome the obstacles of spatial imagination and the difficulty of space mapping. Space vectors include base vectors and coordinate vectors. Of the coordinates to solve the problem of three-dimensional geometry, the abstract geometry can be transformed into algebraic problems, and has a strong regularity and maneuverability, and the use of space vector coordinates must first establish a rectangular space coordinate system, but the establishment of space Cartesian coordinate system is sometimes subject to the constraints of the graphics in the three-dimensional geometry is difficult to commonly used, in fact, the coordinate form of the vector just select a special substrate,