1 . 设函数
,
为正整数,
为常数,曲线
在
处的切线方程为
.
(1)求
的值; (2)求函数
的最大值; (3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d1d18461b2ba628c90d2d27f2c6dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0576d3caabf87110d38f1b5456db362.png)
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2016-12-01更新
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2136次组卷
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4卷引用:2012年全国普通高等学校招生统一考试文科数学(湖北卷)