1 . 已知函数
,
R.
(1)当
,
时,求曲线
在点
处的切线方程;
(2)当
,
时,求
在区间
上的最大值:
(3)当
时,设
.判断
在
上是否存在极值.若存在.指出是极大值还是极小值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07c2e60a27bd809f9d42831922ab7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526c6e33166cdaadce9d0226b67642c7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d914f739d0635a04e342814fddfbd261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4903fc688b6acc5ca90b120355ea55e.png)
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2023-07-10更新
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4卷引用:北京市通州区2022-2023学年高二下学期期末质量检测数学试题
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