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导数是初等数学与高等数学的重要衔接点,在高考中虽为B级要求,但却是近年高考考查的热点,并常常充当着“压轴题”的角色.高考对导数的考查定位于作为解决初等数学问题的工具出现,重点体现在运用导数知识研究函数的单调性、极值和最值问题.在这类问题中,十分注重分类讨论、变形转化、数形结合等思想方法的应用,并常留有高等数学的痕迹,细心研究,别有一番风味.只是,有时仅通过一次求导并不能完全解决问题,
Although the derivative is an important convergence point between elementary mathematics and advanced mathematics, although it is a Grade B requirement in college entrance examination, it is a hot spot in college entrance examination in recent years and often acts as a “finale problem.” As a tool to solve elementary mathematics problems, the emphasis is put on using the knowledge of derivatives to study the monotonicity, extreme value and maximum value of the functions, and in such problems, great attention has been paid to the application of such methodologies as categorization and discussion, transformation and transformation, , And often leave traces of advanced mathematics, careful study, do not have a flavor, but sometimes only by a derivative and can not completely solve the problem,