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近几年全国新课标卷对于导数应用的考查,其难点一直围绕函数的单调性、极值(最值)展开,以导数为工具探究函数的性质,借此研究不等式、方程等问题,着重考查分类讨论、数形结合、化归与转化的数学思想方法,意在考查学生的运算求解能力,推理论证能力,充分体现数学理性思维的特点,从思维的层次性、深刻性、创新性等方面进行全面考查,凸显了高考试题的选拔功能,一直在履行压轴的使命.本文通过解析近几年新课标卷导数压轴题,透视归纳导数压轴
In recent years, the new curricular examination of the country for the application of derivative test, the difficulty has been around the monotonic function, the extreme value (value) expansion, the derivative as a tool to explore the nature of the function to study inequalities, equations and other issues, focusing on This paper examines the mathematical thinking methods of categorical discussion, combination of numbers and forms, conversion and transformation, and aims at examining students’ ability of solving and reasoning and arguing, and fully embodies the characteristics of mathematical rational thinking. From the aspects of thinking level, profoundness and innovation, etc. Aspects of a comprehensive examination, highlighting the selection function of college entrance examination questions, has been to fulfill the mission of the finale.In this paper, by analyzing the new curriculum standard in recent years,