用向量法解决立体几何问题,不仅摆脱了几何问题中的作辅助线的困难,而且免去了寻找满足定理、公理所依据的条件这个繁杂过程,使计算、证明更简化;尤其在容易确立空间直角坐标系时,利用向量的坐标进行运算,对于证明空间中线与面平行、线与线垂直、线与面垂直更加方便;对于计算点到平面的距离、异面直线间的距离的计算以及异面 Using vector method to solve the problem of solid geometry not only gets rid of the difficulty of aiding in geometric problems, but also avoids the complicated process of searching for the conditions that satisfy the theorem and axiom to make the calculation and the proof more simplified. Especially in the space that is easy to establish Cartesian coordinate system, the use of vector coordinates, for the proof of space in the line with the surface parallel to the line perpendicular to the line, the line perpendicular to the surface more convenient; for the calculation of the point-to-plane distance, the calculation of the distance between different straight lines and differences surface