1 . 已知曲线
:
与
:
在第一象限内交点为
.
(1)求过点
且与曲线
相切的直线方程;
(2)求两条曲线所围图形(如图所示阴影部分)的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aafae84e7fe39dc5b694c39405201d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)求两条曲线所围图形(如图所示阴影部分)的面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://img.xkw.com/dksih/QBM/2021/4/12/2698335416811520/2808213395636224/STEM/66a1b3e0-d535-4111-8540-dfad39e50796.png?resizew=176)
您最近一年使用:0次
2 . 如图:已知
通过点(1,2),与
有一个交点横坐标为
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/0c6addd3-0a6b-478f-bba2-ebf1ebce798c.png?resizew=255)
(1)求
与
所围的面积
与
的函数关系;
(2)当
为何值时,
取得最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53be61cd85ec86aabd164cae0265246b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7a6d0032f9161eccda678c0d1d9d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13727f8b48c102f85634d46413addda6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/0c6addd3-0a6b-478f-bba2-ebf1ebce798c.png?resizew=255)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53be61cd85ec86aabd164cae0265246b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7a6d0032f9161eccda678c0d1d9d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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