1 . 已知
,关于x的不等式
的解集为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a42fff822c5f61fec5fcd5c8e86941e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e080d3d338e4398d91b493797eb8ce33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e0a0dde137e24c80d0afeec024f2b6.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 已知函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd66879c7d7c41c4119ac9571a90342.png)
(1)讨论
的单调性.
(2)证明:当
时, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0de742522bdf16fedb2765f379029a4.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd66879c7d7c41c4119ac9571a90342.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c472109d36ba3e37771845ac86f714a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0de742522bdf16fedb2765f379029a4.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d985495cdfb142edece75f11da70b3da.png)
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3 . 已知函数
.
(1)当m=1时,求f(x)在[1,e]上的值域;
(2)设函数f(x)的导函数为
,讨论
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb24718f5f35dfa0a16562452a9896c.png)
(1)当m=1时,求f(x)在[1,e]上的值域;
(2)设函数f(x)的导函数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e808873b814cf720131eeed83e88bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e808873b814cf720131eeed83e88bf.png)
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4 . 定义
为正整数
的各位数字中不同数字的个数,例如
.在等差数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
___________ ,数列
的前100项和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/006d54905e72dac6b9f6fcf1a6ada6d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ebe46bffead42216839a2b4958a420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/903304fb655d626931c005a4dbc8ea29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65723ad260705c559714d9b12e20a1fd.png)
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5 . 已知函数
.
(1)求
的单调区间;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d266194b551192e78733572f7af4c21.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72ac1e74d58a6119bd9fd62942118ac.png)
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