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三角函数是中学数学的重要内容,参数范围问题的求解是中学数学的难点所在,两者结合产生的问题,具有抽象程度高、求解灵活性大的性点,在解法上没有固定模式可套,且对解题者的数学技能及创新意识的考查具有独到之处.因而,它成了数学高考复习的难点和竞赛命题的热点,本文通过实例介绍几种常见的变通策略,供读者参考.1.参数分离法把问题中的参数和未知数分离开来,利用未知数的性质确定参数的取值范围.
Trigonometric function is an important part of high school mathematics. The solution to the problem of parameter range is the difficulty of middle school mathematics. The problem of the combination of the two is characterized by high degree of abstraction and large flexibility of solution. There is no fixed mode in the solution, And it has its own uniqueness to the problem-solver’s math skill and innovation consciousness examination.Therefore, it becomes the hot spot that the maths college entrance examination review difficulty and the contest proposition.This article introduces several common work-around strategies through the examples for the reader’s reference.1 The parameter separation method separates the parameters in the problem from the unknowns, and uses the properties of the unknowns to determine the range of parameters.