| 一个三角形心距不等式的逆向 |
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| 引用本文： | 吴善和. 一个三角形心距不等式的逆向[J]. 高师理科学刊, 2002, 22(4): 10-12 |
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| 作者姓名： | 吴善和 |
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| 作者单位： | 龙岩师范高等专科学校,数学系,福建,龙岩,364012 |
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| 摘 要： | 建立一个含指数参数和角参数的关于三角形内心与外心距离的几何不等式 ,给出了文 [1 ]中不等式dλ 2 -λ-1( ｜a-b｜λ + ｜b -c｜λ + ｜c -a｜λ)的逆向形式
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| 关 键 词： | 三角形 内心 外心 距离 不等式 逆向 |
| 文章编号： | 1007-9831(2002)04-0010-03 |
| 修稿时间： | 2002-07-03 |
The inverse form about a triangle inequality of distance between center of inscribed circle and center of circumscribed circle |
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| WU Shan-he. The inverse form about a triangle inequality of distance between center of inscribed circle and center of circumscribed circle[J]. Journal of Science of Teachers＇College and University, 2002, 22(4): 10-12 |
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| Authors: | WU Shan-he |
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| Abstract: | This paper intends to establish a geometric inequality containing exponent parameter and angular parameter about the distance between center of inscribed circle and center of circumscribed circle.And this geometric inequality is the inverse form of the inequality d λ2 -λ-1 (| a - b | λ+| b - c | λ+| c - a | λ) established in the paper. |
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| Keywords: | triangel center of inscribed circel center of circumscribed circle distance inequality inverse |
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