空间夹角与距离是高中立体几何中一个重要的知识点,并且求解的方法很多,但在教学实践中可以看到,多数学生很难准确的作出辅助线,找到二面角的平面角及点到平面的垂线或异面直线的公垂线.那么,能否避免这些问题而直接求解空间夹角与距离呢?联想教学大纲中异面直线所成角的向量求法,笔者将向量法推广到一般情形来尝试求解空间的夹角与距离问题,收到了良好的效果. Spatial angle and distance are an important knowledge point in high school stereo geometry, and there are many methods to solve it. However, in the teaching practice, it can be seen that most students find it difficult to accurately make auxiliary lines and find the plane angles and points of dihedral angles. The vertical line to the plane or perpendicular to the surface. So, can we avoid these problems and directly solve the space angle and distance? In the association teaching syllabus, we use the vector method. To the general situation to try to solve the space angle and distance problems, received good results.