| 广义勾股定理和勾股型不等式 |
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| 引用本文： | 汪文贤. 广义勾股定理和勾股型不等式[J]. 安徽工程科技学院学报：自然科学版, 2007, 22(2): 66-69 |
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| 作者姓名： | 汪文贤 |
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| 作者单位： | 浙江工业大学浙西分校,浙江,衢州,324000 |
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| 摘 要： | 从直角三角形中两边之和大于第三边和勾股定理出发,通过构造“面直角三角形”和“体直角三角形”,以及考察直角四棱锥,在使用类比、归纳、对称和推广等方法的基础上,作出“面直角三角形”、“体直角三角形”及直角四棱锥状态下的相应猜想,并对这些猜想进行了必要论证,从而建立起了广义勾股定理和勾股型不等式.
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| 关 键 词： | 勾股定理 猜想 广义勾股定理 勾股型不等式 |
| 文章编号： | 1672-2477（2007）02-0066-04 |
| 修稿时间： | 2007-03-20 |
Generalized pythagoras theorem and inequatily of pythagoras type |
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| WANG Wen-xian. Generalized pythagoras theorem and inequatily of pythagoras type[J]. Journal of Anhui University of Technology and Science, 2007, 22(2): 66-69 |
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| Authors: | WANG Wen-xian |
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| Affiliation: | Western Zhejiang Branch School, Zhejiang University of Technology, Quzhou 324000,China |
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| Abstract: | Based on the theorem and "the sum of two laterral is bigger than the third lateral of right triangle","the plane right triangle"and "the three-dimensional right triangle",as well as the right angle four pyramids were constructed.The suspicion and its essential proof on "the plane right triangle","the three-dimensional right triangle" and the right angle four pyramid were suggested with the methodology of analogy,induction,symmertry and promotion foundations.Finally,the extensive Pythagoras theorem and its Pythagoras theorem inequality were established. |
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| Keywords: | pythagoras theorem conjecture generalized pythagoras theorem inequatily of pythagoras type |
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