《空间向量与立体几何》是高中数学选修2-1的第三章内容,本章内容既是必修四《平面向量》在空间的推广与引申,一些结论和定理在空间仍然成立,也是必修二《立体几何》的初步延伸,空间向量为立体几何在证明线线、线面、面面平行与垂直的证明,以及求解线线所成的角、线面所成的角、面面所成的角提供了一种运用向量或者坐标解决问题的方法和途径。在《新课程标准》对本章内容明确提出:“通过本章的学习使学生在对 ”Space Vector and Solid Geometry“ is the third chapter of high school mathematics elective 2-1. This chapter is not only a generalization and extension of the compulsory four ”plane vectors“ in space, but some conclusions and theorems still hold in space and are also compulsory. Geometry ”of the initial extension of the space vector for the three-dimensional geometry to prove the line, line, face parallel and vertical proof, as well as solving the line angle, the line angle, face angle formed by A way to solve problems using vectors or coordinates. In the “New Curriculum Standards” of the content of this chapter clearly put forward: "Through this chapter to learn so that students in