导数虽然是大纲要求的选修内容,但由于它与高等数学相衔接,为研究函数问题,开辟了一条新的途径;同时它又和函数、不等式、向量、解析几何等内容相互交汇渗透,拓宽了高考对数学问题的命题空间,因而利用导数解决函数问题已成为高考命题的一个热点。 Although it is an elective element of the outline requirement, the derivative has opened up a new way to study the function problem due to its connection with higher mathematics. At the same time, it also interacts with the functions, inequalities, vectors, analytic geometry and other elements to broaden College entrance examination of mathematical proposition space, so the use of derivatives to solve the problem of function has become a hot topic college entrance examination proposition.