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求三角函数的最值(或值域)是近几年高考中常常出现的一类问题.这类问题不仅以小题的形式单独考查三角函数的最值,还以解答题的形式综合考查三角函数最值的应用.求解这类问题不仅需要用到三角函数的图象与性质和三角恒等变换,而且还常涉及一次函数、二次函数的性质,也和不等式、方程、几何等知识综合运用,具有很强的综合性与灵活性.下面我们对三角函数最值问题的常见类型及求解策略进行归类分析.
Find trigonometric function of the most value (or range) is the college entrance examination in recent years often appear in a class of problems.This kind of problem not only in the form of a small topic to test the trigonometric function of the value, but also to answer questions in the form of a comprehensive examination of the triangle The application of the most value of the function.To solve such problems not only need to use trigonometric function of the image and the nature and the triangular equivalent transform, but also often involves the function of the quadratic function, but also and inequality, equations, geometry and other knowledge synthesis Use, has a very strong comprehensiveness and flexibility.The following we classify the common types of trigonometric function most value problem and the solution strategy.