名校
解题方法
1 . 已知函数
(
为自然对数的底数)
(1)求
的单调区间;
(2)是否存在正 实数
使得
,若存在求出
,否则说明理由;
(3)若存在不等实数
,使得
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3373c14a97d5719f0dd3d724123d96c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e04b4cd16224102ef696222caa56ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若存在不等实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2037b0bad7c7a312bac1ac0653d9a491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c158a550aaa60c8a2282649dae147e1d.png)
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2016-12-04更新
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574次组卷
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3卷引用:2017届江苏泰州中学高三摸底考试数学试卷