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gugeren的博客
有则写之，无则空之
	https://blog.creaders.net/u/5804/ > 复制 > 收藏本页

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gugeren

注册日期: 2012-01-06
访问总量: 3,059,871 次

· 【美国时事通】当被捕杀者成为猎

· 【RRN】白帽逮捕一宾夕法尼亚州

· 【RRN】军方将清洗叛国军官

· 【RRN】FBI局长Wray被控叛国罪但

· 【美国时事通】川普胜选后，她要

· 【RRN】海军陆战队逮捕马约卡斯

· 【美国时事通】911，J6等真相将

【DIY】

【数学】

【美国大学申请】

· 美国劳工部对2010-2020年劳动力

【杂记】

【股票+金融】

【自己文章】

【转贴好文章】

· 【RRN】FBI局长Wray被控叛国罪但

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评论：

趣味的数学-2

1】

【a】一个圆的半径是R。求它的外切正6边形与它的内接正6边形的面积之比。

【b】求它的外切正n-边形与它的内接正n-边形的面积之比。

【转引并改编自Edward J. Barbeau等编著的“Five hundred Mathematical Challenges”；中文译名《给数学迷的500个挑战性问题》第386题。】

【从这道题似乎可以理解当年中国数学家刘徽（225？-295？）和祖冲之（429-500）等人如何利用圆的外切和内接正多边形来逐步逼近圆周率的。】

2】

二进制中，有一类数可以表示为111...11【即n个1】。求它们的平方，并把这些平方数也用二进制来表示。

【转引自Edward J. Barbeau等编著的“Five hundred Mathematical Challenges”；中文译名《给数学迷的500个挑战性问题》第299题。】