求由三条曲线
所围成的封闭图形的面积.(请作图)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae0b6552b3b8d7cc62c22d98fc33f9a.png)
10-11高二下·海南·期末 查看更多[1]
(已下线)2010-2011年海南省嘉积中学高二下学期质量检测数学理卷(一)
更新时间:2016-11-30 18:04:12
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【知识点】 求曲边图形的面积
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【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d984f36b9dbbd99ae3fa3c1442ec898.png)
的图象如图所示,它与直线
在原点处相切,此切线与函数图象所围区域(图中阴影部分)的面积为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d984f36b9dbbd99ae3fa3c1442ec898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f0b59d15d59d00521958ecf7045d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d876c494a89de1b52f19d07b362106c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/8586bf9e-a500-4452-887e-1950591cd225.png?resizew=213)
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(0.85)
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【推荐2】已知曲线
与
在第一象限内的交点为P.
![](https://img.xkw.com/dksih/QBM/2020/6/5/2478095195193344/2478267257053184/STEM/4c5d3c4842cd4a0f905cfb36ab1b1f7a.png?resizew=226)
(1)求曲线
在点P处的切线方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a140d6d30530e4f67c8325308d476.png)
(2)求两条曲线所围图形
如图所示阴影部分
的面积S.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410d4dffa436a513e840d30ca5e07aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f651b68d91620da5ebda6729dbf89374.png)
![](https://img.xkw.com/dksih/QBM/2020/6/5/2478095195193344/2478267257053184/STEM/4c5d3c4842cd4a0f905cfb36ab1b1f7a.png?resizew=226)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a140d6d30530e4f67c8325308d476.png)
(2)求两条曲线所围图形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
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