数学杂志2016，Vol.36Issue(4)：759-766,8.
到三定点相对距离的和等于定数的点的轨迹
THE LOCUS OF POINTS WITH EQUAL SUM OF RELATIVE DISTANCES TO THREE POINTS
摘要
Abstract
In this paper, we study the problem about relative distance in the relative metric space. By mass point geometry, we get the result that for any given real numberτ >4, the locus of the points P satisfying the condition, dT (P, A)+dT (P, B)+dT (P, C)=τ, is a convex dodecagon or nonagon (where T ≡ABC is a triangle formed by the three fixed points A, B, and C), which enriches the field of relative distance.关键词
相对距离/平面凸体/十二边形Key words
relative distance/plane convex body/dodecagon分类
数理科学引用本文复制引用
李晓玲,张素梅,张更生,沈建..到三定点相对距离的和等于定数的点的轨迹[J].数学杂志,2016,36(4):759-766,8.基金项目
Supported by National Natural Science Foundation of China (11371121) （11371121）
Na-tional Natural Science Foundation of USA (CNS 0835834 （）
DMS 1005206) （）
Natural Science Foundation of Hebei Province (A2013205073) （A2013205073）
Science Foundation of Hebei Normal University (L2013Z01) （L2013Z01）
