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立体几何着重研究的是点、线、面之间的关系,研究空间三种位置关系(即空间直线与直线、直线与平面、平面与平面)以及三种角(异面直线所成的角、直线与平面所成的角和二面角)的计算,而借助于向量的计算方法来处理立体几何求角度的问题却越来越多。空间向量在解决立体几何问题中的作用得到了更加足够的重视,因此势必成为解决立体几何问题的一个有力工具。
Three-dimensional geometry focuses on the relationship between point, line and surface, the relationship between the three spatial locations (space and straight line, line and plane, plane and plane) and three angles The angle between the straight line and the plane and the dihedral angle) are calculated. However, the problem of calculating the angle of the three-dimensional geometry by means of vector calculation is more and more solved. Space vector in solving the problem of three-dimensional geometry has been given more attention, and therefore will inevitably become a powerful tool to solve the problem of three-dimensional geometry.