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用“山顶数对称提取法”解特殊高次方程

Employing the "Symmetry Extraction Method of Mountain-peak Number " to Solve Special Higher-order Equations


作者:刘思远*王文婧
 中国人民大学附属小学 中国 北京
*通信作者:刘思远;单位:中国人民大学附属小学
少年创新探索, 2026, 3(2), 0-0; https://doi.org/10.58244/jle.263856
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摘 要:
通过观察方程各项的系数特征与结构,我探索出“山顶数对称提取法”。并用它解开了一类特殊的一元五次方程。还发现这一方法在更次高程中也适用。
关键词:系数结构;山顶数;对称提取法;高次方程
 
Abstract:
By observing and analyzing the coefficient structure, I applied the "symmetry extraction method of mountain-peak numbers" to solve a particular type of univariate quintic equation. Additionally, I found that this method is also applicable to equations of even higher degrees.
Keywords: Coefficient structure, Symmetry extraction method, Mountain-peak number, Higher-order equations

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作 者 / Authors

刘思远  今年10岁,最大的爱好是研究各类方程,喜欢从数学题里找规律、想巧法。始终相信“观察+探索=数学发现”,理想是成为一名数学家,解锁更多数学的奥秘。

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