本文涉及的问题是富含多变量的条件最值问题.我们知道,n元变量同时变化,互相制约,互相干扰,往往使人感到纷繁复杂,漫无头绪,难以下手.但我们可以分而治之,即让大多数的变量固定,而让少数的变量变动,然后搞清所论的量对少数变量的依赖关系,从而局部调整,然后让先前固定的变量“活化”而重新动起来,我们称这种思想为“局部调整思想”.以下是使用“局部调整法”对一道IMO试题的新解: This article deals with the problem of multivariate conditionally maximizing value.We know that n variables simultaneously change, mutual restraint, interfere with each other, often make people feel complicated, clueless, difficult to start.However, we can divide and rule, namely Let the majority of the variables fixed, and let a small number of variables change, and then find out the amount of dependence on a small number of variables, and thus partial adjustment, and then allow the previously fixed variables “Activation ” and move again, we call This idea is “local adjustment thinking ”. The following is the use of “local adjustment ” on a new test IMO questions: