摘要
利用递归方法给出任意多边形的中线与顶点重心的定义,再给出圆内接多边形高线的定义,然后证明圆内接多边形的高线(或所在直线)共点,由此得到圆内接多边形垂心的定义,最后给出多边形的顶点重心与圆内接多边形的垂心的若干性质。
In this article, we first give some definitions of central lines and median point of any polygon by recursion method, then give a definition of altitudes of a inscribed polygon of a circle. We also prove that the altitudes of a inscribed polygon of a circle are concurrent, then got a definition of orthocenter of a inscribed polygon of a circle. Finally give some properties of median point of any polygon and orthocenter of a inscribed polygon of a circle.
出处
《浙江海洋学院学报(自然科学版)》
CAS
2006年第4期461-464,共4页
Journal of Zhejiang Ocean University(Natural Science Edition)
关键词
多边形
顶点重心
圆内接多边形
垂心
polygon
median point
inscribed polygon of a circle
orthocenter