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三角函数是高中数学中重要的内容之一,而最值问题的求解是三角函数的重要题型,在近几年的高考题中经常出现,极具灵活性。它往往与二次函数、三角函数图像、函数的单调性等知识联系在一起,在求解时,一要注意三角函数式的变形方向,二要注意正、余弦函数本身的有界性,还要注意灵活选用方法。本文介绍三角函数最值问题的一些常见类型的解题方法。
The trigonometric function is one of the important contents of high school mathematics, and the solution of the most value problem is an important question type of trigonometric function. It appears frequently in the college entrance examination questions in recent years, and it is very flexible. It is often associated with knowledge of quadratic functions, trigonometric functions, and monotonicity of functions. When solving, one must pay attention to the direction of the trigonometric function, and secondly, the boundedness of the positive and cosine function itself. Pay attention to the method of choice. This article describes some common types of problem solving methods for the trigonometric function maximum value problem.