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导数是研究函数性质的重要工具,其在函数中的应用一直是高考命题的重点、热点。试题往往融函数、导数、不等式和方程等知识于一体,重点解决探索函数的单调性与极值、最值,求几何曲线的切线,以及不等式的恒成立与参数的取值范围等问题,考查函数与方程思想、分类讨论思想、数形结合思想、转化与化归思想等多种数学思想方法。由于导数综合题综合性强、背景新、方法巧、能力要求高,造成很多考生的失分。下面就安徽高考题核心考点,借助近几年全国的一些经典题,探索解导数题的一般方法。一、高考考点分析1.利用导数研究函数的单调性、极值与最值问题
Derivatives is an important tool to study the nature of the function, its application in the function has been the focus of college entrance examination proposition, hot spots. Questions often melt functions, derivatives, inequalities and equations and other knowledge in one, focusing on solving the monotonic and extremum of the exploration function, the most value, find the tangent of the geometric curve, as well as the inequality of the constant establishment and parameters of the range of values and other issues, test Function and equation thinking, classification discussion, combination of ideas with numbers, transformation and conversion to thought and other mathematical ideas and methods. Due to the synthesis of derivative comprehensive strong new background, method skill, high ability requirements, resulting in a lot of candidates lose points. The following entrance exam on the core of Anhui, with some of the country’s classic questions in recent years, to explore the general method of solving problems. First, the college entrance examination test analysis 1. The use of derivatives to study monotonicity, extreme value and the most value problems