向量基本定理的几何表示

 以纯向量为工具研究几何问题,将向量基本定理用几何形式表示,可以将几何中的基本元素点、线、面、体用一个公式表示,实现了几何问题与向量问题相互转化,从理论上给出了几何问题和代数问题相互转化的又一方法.这一方法不仅涵盖了笛卡儿的坐标法,而且从非正交的角度推广了笛卡儿的坐标法,并由此引出了许多新的结论、方法和题型,并从几何的角度推广了向量基本定理,给出了其确切的几何解释,形成了相应的向量几何理论.从实体几何的角度看,它解决了几何应用过程中的许多计算、证明和作图问题,并且丰富了欧几里得空间的内涵.

Geometric Representation of Fundamental Theorem of Vector

This paper studies the geometry problems with a pure vector tool. The geometry and vector problems can be transformed into each other, and this paper establishes the corresponding vector geometry theory to completely solve this transformation problem, covering the Cartesian coordinate method. A new, independent, complete mathematics system is formed, which leads to a lot of new methods and problems. From a geometric point of view to generalize the fundamental vector theorem, the fundamental vector theorem would have a precise geometric interpretation. From the solid geometry perspective, it not only solves a number of calculation, proof and mapping problems in the application process, and also enriches the connotation of the Euclidean space.