摘要
设P是圆上任一点 ,P到圆内接(外切)正n边形A1A2 …An各边的距离分别为d1,d2 ,… ,dn,当m为自然数时 ,本文给出了∑ni=1dmi 为定值的充分必要条件以及∑ni =1dmi 为定值时的定值表达式。
Given that \%P\% is an arbitrary point in a circle, let \$d\-1,d\-2,\:,d\-n\$ be respectively distances from \$P\$ to each side of inscribed/circumscribed equilateral n-polygons in a circle. This paper gives an ample necessary condition for \$∑ni=1d\+m\-i\$ being a constant when \%m\% is a natural number, and establish the formula of \$∑ni=1d\+m\-i\$ when \$∑ni=1d\+m\-i\$ is constant.
出处
《浙江树人大学学报》
2002年第5期78-80,84,共4页
Journal of Zhejiang Shuren University
关键词
余弦函数
充分必要条件
圆内接正多边形
圆外切正多边形
定值
cosine function
inscribed regular n-polygons in a circle
circumscribed regular n-polygons in a circle
sufficient and necessary condition
