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(a1,a2,…,an是正数,n∈且≥2)解证有关不等式问题,常常无法直接解决,而是先将解证的不等式进行适当的变形,凑出均值不等式的条件,再用均值不等式解决.这时,恰当的变形便成为解题的关键.下面介绍七种常用的变形技巧.1补项例1已知X>-1,且x≠0,n∈N,求证:(1
(a1,a2,...,an is a positive number, n∈ and ≥2) It is often impossible to solve the inequality problem directly. Instead, the inequality of the solution is first appropriately deformed, and the condition of the mean inequality is mined, and then Mean inequality solution. At this time, the proper deformation becomes the key to solving the problem. Here are seven commonly used deformation techniques. 1 Supplementary Example 1 is known as X>-1, and x≠0, n∈N, verification: (1