小学、初中、高中各种试卷真题知识归纳文案合同PPT等免费下载www.doc985.com专题2-6导数大题证明不等式归类目录题型01不等式证明方法......................................................................................................................................................1题型02单变量构造:利用第一问结论...............................................................................................................................2题型03单变量构造:数列型...............................................................................................................................................3题型04数列不等式:无限和裂项型...................................................................................................................................4题型05数列不等式:累积相消型.......................................................................................................................................5题型06数列不等式:取对数型...........................................................................................................................................6题型07虚设根型证不等式...................................................................................................................................................6题型08利用函数“凸凹反转性”证明不等式...................................................................................................................7题型09同构型不等式证明...................................................................................................................................................8题型10双变量型构造..........................................................................................................................................................9题型11极值点偏移型:和型证明.....................................................................................................................................10题型12极值点偏移型:积型证明.....................................................................................................................................11题型13极值点偏移型:平方型证明.................................................................................................................................12题型14三角函数型不等式证明.........................................................................................................................................12题型15韦达定理代换型.....................................................................................................................................................13题型16切线放缩型证明.....................................................................................................................................................14高考练场..............................................................................................................................................................................14题型01不等式证明方法【解题攻略】利用导数证明不等式问题,基本思维方法如下:(1)直接构造函数法:证明不等式(或)转化为证明(或),进而构造辅助函数;(2)适当放缩构造法:一是根据已知条件适当放缩;二是利用常见放缩结论;(3)构造“形似”函数,稍作变形再构造,对原不等式同解变形,根据相似结构构造辅助函数.利用导数证明不等式的基本步骤(1)作差或变形;(2)构造新的函数;(3)利用导数研究的单调性或最值...