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在近几年高考和模拟考中,有一类抽象的可导函数问题频频亮相,题目以能力立意短小精悍,难度较大区分度高,多为客观题中的压轴题.除考查可导函数的运算法则及函数的图象和性质外,重点考查分析问题和解决问题的能力以及构造法和创新意识.这些题目的思维起点都是从观察问题的某一特征入手,通过转化和联想构造满足条件的特殊函数或抽象函数,从而打开解题的通道使问题获解.下面对几个精彩试题进行剖析与大家分享.
In recent years, college entrance examination and simulation test, there is a class of abstract frequently-occurring function of the problem appeared frequently, the topic of ability to short and pithy, more difficult to distinguish high degree, mostly objective questions in the acoustical problem.In addition to examining the function of the operator Law and function of the image and nature, the focus of examination of the ability to analyze and solve problems and constructivism and innovative awareness of these topics are starting point of thinking of a feature to observe the problem, through the transformation and association to meet the conditions Special function or abstract function, so as to open the problem channel so that the problem is solved. Here are a few wonderful questions to analyze and share with you.