| 探索以(Fn-k,Fn,Fn)为边长的Fibonacci三角形 |
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| 引用本文： | 郝锋. 探索以(Fn-k,Fn,Fn)为边长的Fibonacci三角形[J]. 大学数学, 2011, 27(3): 106-109 |
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| 作者姓名： | 郝锋 |
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| 作者单位： | 江苏大学,理学院,江苏,镇江,212013 |
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| 摘 要： | Fibonacci三角形是边长为Fibonacci数、面积为整数的三角形.存在以(F<,n-k>,F<,n>.F<,n>)为边长的Fibonacci三角形的情形可以被划分为三类(k时,不存在边长为(F<,n-k>,F<,n>.F<,n>)的Fibonacci三角形.
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| 关 键 词： | Fibonacci数 Lucas数 Fibonacci三角形 |
Research Fibonacci Triangles with Side Lengths(F_(n-k),F_n,F_n) |
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| HAO Feng. Research Fibonacci Triangles with Side Lengths(F_(n-k),F_n,F_n)[J]. College Mathematics, 2011, 27(3): 106-109 |
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| Authors: | HAO Feng |
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| Affiliation: | HAO Feng(Faculty of science,Jiangsu University,Zhenjiang,Jiangsu 212013,China) |
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| Abstract: | A triangles with side lengths of Fibonacci numbers and integral area are called Fibonacci Triangles.The existence of Fibonacci triangles with side lengths(Fn-k,Fn,Fn) can be partitioned three cases and non-existence of Fibonacci triangles(Fn-k,Fn,Fn) of k=2t+2is proved with the method of quadrate residue(k
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| Keywords: | Fibonacci numbers Lucas numbers Fibonacci triangles |
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