名校
1 . 已知
(
为自然对数的底数),
.
(1)当
时,求函数
的极小值;
(2)当
时,关于
的方程
有且只有一个实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290dfa43bcecc055837374f00dce6fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85451e2c824cbf9c1aa2a24848496a04.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c204be088a8fc6c096eedd5b1e7dc7.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c81b29ac8a01886b25dcef55c5f6877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69935380b7059b221227c9c841efefb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-03-07更新
|
451次组卷
|
4卷引用:湖南省长沙市长郡中学2018-2019学年高二下学期期末考试数学(理)试题
2014·江苏南通·一模
2 . 已知函数
.
(1当
时,
与
)在定义域上单调性相反,求的
的最小值.
(2)当
时,求证:存在
,使
的三个不同的实数解
,且对任意
且
都有
.
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/2dd8cf64b6904c409b0626364d3f5cde.png)
(1当
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/798aad047a9344a984e27afd86bc47cb.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/274a5cba98ec4744a1167a37dfe6cf19.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/f830c331aea94ee6b130643441db9056.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/1500db7870d44a09ba84226c6491e1b1.png)
(2)当
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/5cc8f5c33e9a4fb090452b3e9db65d61.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/352b57f5d3b1488e9ab698a6669e0ab7.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/03442e2e9a0f4202850a377cbda8c59e.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/019762b744684e778fca9db01dc243f2.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/2ad5a2a811094871810de9ed8896327f.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/05976cf0e61243368d3d06559327d38a.png)
![](https://img.xkw.com/dksih/QBM/2014/6/24/1571794857263104/1571794863235072/STEM/c250f4b2847643f6a9b3a121469b4bad.png)
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