基变换在几何问题上的应用  

Bases Transformationin Geometric Problems

作　　者：郑宇泽 ZHENG Yuze(College of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117

出　　处：《高等数学研究》2024年第4期126-126,F0003,共2页Studies in College Mathematics

摘　　要：本文使用矩阵的工具将平面内准圆的结论推广到n维欧氏空间,并且论证了n维欧氏空间中顶点在原点的二次锥面有n条相互垂直的直母线的充要条件是该锥面所对应二次型的迹为零.In this paper,we generalize the inner quasi circle conclusion to n-dimensional Euclidean space by using the tool of matrix and prove that the quadratic cone with its apex at the origin has n mutually perpendicular generatrices in n-dimensional Euclidean space if and only the trace of the corresponding quadratic form of the cone is zero.

关 键 词：内准圆 基变换 二次型 

分 类 号：O18[理学—数学]