1 . 已知函数
,圆
.
(1)若
,写出曲线
与圆C的一条公切线的方程(无需证明);
(2)若曲线
与圆C恰有三条公切线.
(i)求b的取值范围;
(ii)证明:曲线
上存在点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cad114964b344e7c9b3903a21354e4.png)
,对任意
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33602ec4a1803c9ad4d4a03bb8e96a0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(i)求b的取值范围;
(ii)证明:曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336565fe6ab5fd35e8f7dbffdde4d81d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cad114964b344e7c9b3903a21354e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dc75721e8a356c73c541f10edc3e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd07a2ebb545586dcaf0d7a6015b35d7.png)
您最近一年使用:0次
名校
2 . 已知双曲线
的左,右焦点分别为
,
,过右焦点
且倾斜角为
直线l与该双曲线交于M,N两点(点M位于第一象限),
的内切圆半径为
,
的内切圆半径为
,则
为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1653c086d557b1845d82c2d4d8231f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42fc33bcfc63ec2f4940ccd3f862400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efc18a5bb2e53586331b2a58538a48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12bdb8e9f4bd99efe2c4cdb7234b1298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f20f21a9d50b61dac519a3ddab539d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e34cb2921334b3a4bc856eed3a825d2.png)
您最近一年使用:0次
2022-01-25更新
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