| 关于多边形的顶点重心与圆内接多边形的垂心的若干结论 |
| |
| 引用本文： | 徐苏焦,沈最意.关于多边形的顶点重心与圆内接多边形的垂心的若干结论[J].浙江海洋学院学报(自然科学版),2006,25(4):461-464. |
| |
| 作者姓名： | 徐苏焦 沈最意 |
| |
| 作者单位： | 1. 浙江海洋学院教师教育中心,浙江舟山,316004
2. 浙江海洋学院数理与信息学院,浙江舟山,316004 |
| |
| 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。
|
| 关 键 词： | 多边形 顶点重心 圆内接多边形 垂心 |
| 文章编号： | 1008-830X（2006）04-0461-04 |
| 收稿时间： | 2006-01-05 |
| 修稿时间： | 2006年1月5日 |
Some Results about Median Point of Any Polygon and Orthocenter of Any Inscribed Polygon of a Circle |
| |
| XU Su-jiao,SHEN Zui-yi.Some Results about Median Point of Any Polygon and Orthocenter of Any Inscribed Polygon of a Circle[J].Journal of Zhejiang Ocean University(Natural Science Edition),2006,25(4):461-464. |
| |
| Authors: | XU Su-jiao SHEN Zui-yi |
| |
| Institution: | 1.Center for Teacher Education of Zhejiang Ocean University, Zhoushan 316004; 2.Mathematics Physics and Information College of Zhejiang Ocean University, Zhoushan 316004, China |
| |
| Abstract: | 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. |
| |
| Keywords: | polygon median point inscribed polygon of a circle orthocenter |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
