用“山顶数对称提取法”解特殊高次方程
中国人民大学附属小学 中国 北京
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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
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
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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。
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.
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
