| 一个三元二次型三角不等式的一些应用 |
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| 引用本文： | 刘健. 一个三元二次型三角不等式的一些应用[J]. 沈阳师范大学学报(自然科学版), 2005, 23(4): 344-346 |
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| 作者姓名： | 刘健 |
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| 作者单位： | 华东交通大学,江西,南昌,330013 |
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| 摘 要： | “三正弦不等式”是一个涉及三个三角形的三元二次型不等式，统一了大批有关三角菇的几何不等式，本文应用它的一个推论，推导出一些新的三角形不等式，提出并应用计算机验证了两个有关的猜想．
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| 关 键 词： | 三角形 实数 不等式 |
| 文章编号： | 1008-374X（2005）04-0344-03 |
| 收稿时间： | 2004-03-16 |
| 修稿时间： | 2004-03-16 |
Some applications of triangle inequality of ternary quaratic form |
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| LIU Jian. Some applications of triangle inequality of ternary quaratic form[J]. Journal of Shenyang Normal University(Natural Science Edition), 2005, 23(4): 344-346 |
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| Authors: | LIU Jian |
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| Abstract: | "The three sines inequality" is a ternary quadratic inequality related to three triangles,which unifies quite a lot of geometric inequalities concerned with triangles.Using one of its corollaries,this paper aims at obtaining some new triangle inequalities and raising two conjectures concerned that were verified by computer. |
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| Keywords: | triangle real numbers inequality |
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