【摘要】 解析几何中介绍了三维Euclid空间中点、直线、平面的概念及关系,通过把三维Euclid空间中向量的数性积、矢性积与混合积等推广到n维Euclid空间的情形,研究了n维Euclid空间中向量间的关系,以此为基础,推广了点、直线、平面的概念,尤其给出了n维Euclid空间中关于点、直线、平面的几个重要关系定理,为线性规划的几何算法研究打下了理论基础.更多还原

【Abstract】 Analytic geometry is involved in the concepts of point,straight line and plane of the three dimensions space and their relations.In this paper,the n dimension vector relations are studied by generalizing the concepts of vector quantity product,vector product and mixed product from the three space to the n dimension space.Meanwhile,the concepts of point,straight line and plane are generalized to the case of the n dimension space.This paper also gives several important relation theorems between the n dimension point,straight line and plane,which lays a solid theoretical foundation for the linear programming geometry algorithm.更多还原