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以函数为载体,以导数为工具,考查函数性质及导数应用为目标,是最近几年函数与导数交汇试题的显著特点和命题趋向.运用导数确定含参数函数的参数取值范围是一类常见的探索性问题,主要是求存在性问题或恒成立问题中的参数的范围.解决这类问题,主要是运用等价转化的数学思想,通过分离参数、数形结合、分类讨论等思维方法进行求解.而求解策略的恰当选择,取决于求解策略是否准确.本文就此类含参数的导数问题做如下阐述.
Taking function as carrier, taking derivative as tool, examining the properties of function and derivative application as the goal, it is the salient features and proposition tendency of the intersection of function and derivative in recent years. Using the derivative to determine the range of parameter with parameter function is a common Of the exploratory issues, mainly to find the scope of the existing problems or constitutive parameters.In solving such problems, mainly through the use of equivalent transformation of mathematical thinking, through the separation of parameters, the number of forms of combination, classification and discussion of thinking methods Solving, and the proper choice of solution strategy depends on whether the solution strategy is accurate.In this paper, the derivation of such derivatives with parameters is explained as follows.