| 关于垂足三角形的一个重要恒等式 |
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| 引用本文： | 刘健.关于垂足三角形的一个重要恒等式[J].高师理科学刊,2011,31(6):33-35. |
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| 作者姓名： | 刘健 |
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| 作者单位： | 华东交通大学初等数学研究所,江西南昌,330013 |
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| 摘 要： | 给出了垂足三角形一个重要恒等式的证明,并给出这个恒等式的一些推论,其中包括与Ptolemy定理等价的“三弦定理”.最后,提出了有关垂足多边形的一个猜想.
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| 关 键 词： | 垂足三角形 点 有向面积 |
On an important identity for the pedal triangle |
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| LIU Jian.On an important identity for the pedal triangle[J].Journal of Science of Teachers＇College and University,2011,31(6):33-35. |
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| Authors: | LIU Jian |
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| Institution: | LIU Jian(Institute of Elementary Mathematics,East China Jiaotong University,Nanchang 330013,China) |
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| Abstract: | Gave a new proof of an important identity involving pedal triangles,obtained some corollaries of the proven result,including the three chord theorem equivalent with the Ptolemy theorem.Finally,a conjecture of the pedal polygon was put forward. |
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| Keywords: | pedal triangle point directed area |
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