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高等数学背景下的函数与不等式高考试题分析
引用本文:李明生.高等数学背景下的函数与不等式高考试题分析[J].黄冈师范学院学报,2009,29(6):21-24.
作者姓名:李明生
作者单位:武汉体育学院,文化课教研室,湖北,武汉,430079
摘    要:以高等数学中的有关知识为背景,从连续函数在闭区间上的性质、严格凸函数的性质、詹森不等式三个方面对近几年来全国及各省、市部分高考题,特别是高考压轴题中的函数与不等式综合题进行了分析和解答。

关 键 词:函数  不等式  导数  单调性

College Entrance Examination analysis of function and inequality with advanced mathemactices
LI Ming-sheng.College Entrance Examination analysis of function and inequality with advanced mathemactices[J].Journal of Huanggang Normal University,2009,29(6):21-24.
Authors:LI Ming-sheng
Institution:LI Ming-sheng ( Department of Training, Wuhan Institute of Physical Education, Wuhan 430079, Hubei, China)
Abstract:With related knowledge of advanced mathemactics, we apply the properties of continuous function in closed interval and rigorous convex function, and Jensen' s inequality to analyse and solve some test questions of the College Entrance Examination in recent years, especially the compositive questions of function and inequality.
Keywords:function  inequality  derivative  monotone
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