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三角函数最值问题涉及的知识面广,灵活性强,这类问题的基本求解途径,一是要利用三角函数的有界性,二是要将三角函数最值问题转化为我们所熟知的函数的最值问题。下面介绍几种常用题型的转化策略。1换元转化思想换元转化的方法适用于求y=asin~2x+bsin x+c(或y=acos~2x+bcos x+c)的三角函数最值问题,利用换元法,可将其转化为求解二次函数的最值问题。
The trigonometric function involves a wide range of knowledge, strong flexibility, the basic solution to such problems, one is to take advantage of the boundedness of trigonometric functions, the second is to convert the most value of the trigonometric functions into a function we are familiar with The value of the problem. Here are several commonly used questions conversion strategy. The method of commutation transformation The method of commutation transformation is suitable for the most value problem of trigonometric function of seeking y = asin ~ 2x + bsin x + c (or y = acos ~ 2x + bcos x + c) It translates into solving the most value problem of quadratic functions.