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用数学归纳法证明一个与正整数n有关的命题 p(n)时,其证明的关键是如何从归纳假设p(k)过渡到 p(k+1)．本文结合实例介绍几种常用的技巧和策略, 供参考．
When mathematical proposition is used to prove a proposition p(n) related to a positive integer n, the key to its proof is how to transition from the inductive hypothesis p(k) to p(k+1). This article introduces several commonly used techniques and strategies with reference to examples.