少年学者

用“山顶数对称提取法”解特殊高次方程

作者：刘思远^*，王文婧

中国人民大学附属小学中国北京

^*标记署名为通讯作者

提交：2026-01-23修改：2026-02-20录用：2026-04-01出版：2026-04-10

少年创新探索 2026, 3(2), 1-3; https://doi.org/10.58244/jie.263856

课题资助：自筹经费。无利益冲突需要说明。

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

正文内容

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

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