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命题趋势“函数”作为高中数学中的核心知识,其思想方法贯穿于高中数学课程的始终,是高考考点中的重中之重.同时,不等式问题中蕴含着丰富的函数思想,与函数单调性、函数的极值和最值密切相关.从而使得“函数”与“不等式”既是知识的交汇点,也是知识的生长点.“函数”和“不等式”是一个有机的统一体,其中函数是核心.而导数是研究函数变化率、解决函数问题的有效工具.利用导数可以便捷
Proposition trend “function ” as the core knowledge in high school mathematics, its thinking method runs through the high school mathematics curriculum, is the top priority in the college entrance examination sites.At the same time, inequality contains a wealth of functional thinking, and function Monotonicity, the extremum and the most significant value of the function are closely related, so that “function ” and “inequality ” are not only the intersection of knowledge but also the point of growth of knowledge. An organic unity, in which the function is the core. Derivatives is an effective tool to study the rate of change of function and solve the function problem.