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导数作为一种解题工具在数学学习中有着非常重要的作用,尤其在解答有关高次函数问题时更是大显身手,体现出其强大的“兼容性”和“工具性”。与参数有关的范围求解,是各类考试的一个热点题型,也是高考的一个重点内容。下面就导数在参数求解方面的应用进行简要阐述。一、根据函数单调性求参数的取值范围利用单调性求参数范围的一般步骤为:(1)求f(x)的导数;(2)令f′(x)≥0或≤0,把参数分离出来;(3)
Derivatives as a problem solving tool play a very important role in mathematics learning, especially in solving high-order function problems, reflecting its strong “compatibility” and “instrumentality”. Solving the range related to parameters is a hot topic type for all kinds of exams and a key content of the college entrance examination. The following briefly describes the application of derivatives in parameter solving. First, according to the monotonicity of the function to find the parameter range The general steps to use monotonicity to find the parameter range are: (1) find the derivative of f (x); (2) let f’(x) ≥ 0 or ≤ 0, The parameters are separated; (3)