到二元几何元素距离的和(差)积(商)为定值的点的轨迹  

The Locus of Points with Equal Sum (Difference) and Product (Quotient) of Distances to Binary Geometric Elements

作　　者：黄保军[1] HUANG Bao-jun(School of Mathematical Science,Huaibei Normal University,Huaibei Anhui 235000,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《大学数学》2018年第1期111-117,共7页College Mathematics

基　　金：安徽省高校省级质量工程项目精品资源共享课:解析几何(2012gxk191)

摘　　要：利用解析的方法,同时结合几何直观,对到二元几何元素(点、直线或平面)距离之和、差、商为常数的点的轨迹的方程与形状,进行了详细探讨,所得结果完善了轨迹问题的有关结论,填补了解决该类问题的空白.This paper study equations and shapes of the locus of points with equal sum and difference and quotient of distance to binary geometric elements(points,straight lines,planes)by using analytic method with visual skill.The results in the paper perfect relative conclusions for locus and fill the gaps in these problems.

关 键 词：距离 轨迹 定值 二次曲面 

分 类 号：O182.2[理学—数学]