2014中国东南数学奥林匹克试题
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(2014.7.27拍于天安门)
背景(Pedoe不等式):



证明(BSJL):
令http://data.artofproblemsolving.com/images/latex/f/d/3/fd36f6b6c12c37d9142a860a946bbca60ab4fc1c.gif,
则
如果原不等式不成立,则有http://data.artofproblemsolving.com/images/latex/1/4/7/1478d89bb5ea131c5c326af4e77d7adbfe6fa72b.gif.
然而,http://data.artofproblemsolving.com/images/latex/5/4/a/54a67a3332a6971d9a044a69e440be261ba22c27.gif
http://data.artofproblemsolving.com/images/latex/0/1/f/01f3f2c8dc8a39f134313d58f48b1658f3ec6873.gif
,

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