| 三角形内部一点到三边距离的两个不等式 |
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| 引用本文： | 刘健.三角形内部一点到三边距离的两个不等式[J].安庆师范学院学报(自然科学版),2004,10(2):42-44. |
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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： | 应用三角形重要的Wolstenholmw不等式,建立了涉及三角形内部任一点到三边距离的一个不等式,由此结合三角形的加权正弦和不等式给出了一个新的三元二次几何不等式,提出了有关的两个猜想。
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| 关 键 词： | 三角形 点 实数 不等式 |
| 文章编号： | 1007-4260(2004)02-0042-03 |
Two Inequalities of the Distances of an Arbitary Point Interior of a Triangle to Its Three Sides |
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| LIUJian.Two Inequalities of the Distances of an Arbitary Point Interior of a Triangle to Its Three Sides[J].Journal of Anqing Teachers College(Natural Science Edition),2004,10(2):42-44. |
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| Authors: | LIUJian |
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| Abstract: | Applying the important Wolstenholme inequality of a triangle, an inequality referring to the distances of an arbitrary point interior of a triangle to its three sides is set up.According to weighted sine sum inequality of a triangle, a new geometric inequality of a triangle of quadratic form of the three variables is offered and several conjectures concerned are put forward. |
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| Keywords: | triangle point real numbers inequality |
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