自然数幂和是指:1~p+2~p+…+n~p(p为正整数),当p=1,2,3这三种情形时,是我们所熟悉的.对它们公式的推导方法有很多,但老师在课堂上介绍的应用古代数学家的“形数理论”来推导却令我印象深刻,同时深受启发,又作了进一步的创新与推广.1.认识“形数理论”在人教版必修5中2.1节《数列的概念与 Natural power sum means: 1 ~ p + 2 ~ p + ... + n ~ p (p is a positive integer), familiar with the three cases of p = 1, 2. Derivation of their formulas There are many ways, but the introduction of the teacher introduced in the classroom by the “mathematic theory” of ancient mathematicians has impressed me deeply, and has been deeply inspired and made further innovations and promotion .1. Shape theory “in the PEP 5 compulsory 2.1 in section” the concept and sequence of numbers