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【原创】数学篇(i)——涉及中线、角平分线的三个非对称不等式猜想

2014-12-27 04:20:45| 分类：默认分类 | 标签： |举报 |字号大中小订阅

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在△ABC中有

猜想1 wa*∑ma≤(9/16)*(b+c)^2 (1)

猜想2 ma*∑ma≤(9/8)*(b^2+c^2) (2)

猜想3 (ma+wa)*∑ma≤(9/8)*(b+c)^2 (3)

注笔者与吴裕东曾证明了刘保乾的猜想：wa*∑wa≤(9/4)*b*c （请参阅《不等式研究通讯》2004年第3期)

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