已知函数
.
(1)求函数
的单调区间;
(2)证明:对任意的正整数
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6474f49bcecbe5a6145d24c84d7028.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:对任意的正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011bd6d2e094988b395938fd504fc1b9.png)
更新时间:2020-06-21 06:30:45
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【推荐1】已知函数
.
(1)求函数
的单调递减区间;
(2)若实数
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,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5851bc1bb9aa01a872eff847dbe2d211.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63f625c2063f15b178aab2d4a743744d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
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适中
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【推荐2】已知函数
,其中e为自然对数的底数.
(1)若
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(2)若
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>0时,
<
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b130e66f054f78ae5687a26caa337a34.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da67075d5f20954afe0232112e159ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee07f4ca4ac0e5f2e8edb5ea750d501.png)
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适中
(0.65)
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【推荐1】已知函数
.
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的单调区间;
(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff7978e698b20c3b12f2e9d3a00c47b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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适中
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解题方法
【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb57abd0da8e582fa8cbed6f685f7401.png)
(1)当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb57abd0da8e582fa8cbed6f685f7401.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16534214250c59605aae906eef0094c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba69d6a8f6e7f67925c4950d03d945e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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