到n个定点距离的二次幂平均为定值的点的轨迹  

Locus of Point with Constant Second Power Averageof Distances from n fixed Points

作　　者：张会凌[1] 

机构地区：[1]甘肃教育学院数学系,甘肃兰州730000

出　　处：《天水师范学院学报》2001年第5期8-10,共3页Journal of Tianshui Normal University

摘　　要：证明了平面上一条曲线是圆的充要条件是此曲线为到n个定点的距离的二次幂平均等于正常数的点的轨迹。This paper has proved that a plane curve c is a circle if and only if c is the locus of a moving point that has a constant second power average of distances from n fixed points.;

关 键 词：圆 定点 距离 二次幂平均 定值 轨迹 平面 

分 类 号：O123.3[理学—数学]