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在函数导数综合问题的考查中,运用导数工具研究函数的性质及其图象特征,是解决不等式成立问题或方程根的问题(即函数的零点问题)等压轴问题的常规方法.但具体解题过程中,我们常因原函数或目标函数的导函数结构复杂,无法确定导函数的零点和符号,从而无法确定原函数或目标函数的单调区间、极值(最值)等,导致相关函数的零点问题(方程根的问题)、不等式成立等问题的研究受阻遇困!究其原因,笔者认为导数综合
In the study of the synthesis of the function derivatives, using the derivative tools to study the properties of the functions and their image features is a common method to solve the problem of the inequalities such as the problem of establishing the inequality or the root of the equation (ie, the zero point of the function). However, In the process, we often can not determine the monotonic interval, extremum (extreme value) and so on of the original function or objective function due to the complex structure of the derivative functions of the original function or the objective function. Therefore, it is impossible to determine the zero point and the sign of the derivative function. Problems (equation root problem), the establishment of inequalities and other issues blocked the study! The reason, I think the derivative synthesis