%0 Journal Article
%T 到三定点相对距离的和等于定数的点的轨迹<br>THE LOCUS OF POINTS WITH EQUAL SUM OF RELATIVE DISTANCES TO THREE POINTS
%A 作者
%A 李晓玲
%A 张素梅
%A 张更生
%A 沈建
%J 数学杂志
%D 2016
%X 本文研究了相对测度空间中的距离问题. 利用质点几何的理论方法获得如下结果:对任意给定的实数, 满足条件dT (P,A) + dT (P,B) + dT (P,C) =τ的点P的轨迹是凸十二边形或九边形(其中T:=ABC 是由给定的不同三点A, B, C构成的三角形), 所得结果丰富了相对距离研究领域的内容.<br>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 number τ > 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
%K 相对距离 平面凸体 十二边形&lt
%K br&gt
%K relative distance plane convex body dodecagon
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20160411&flag=1