1 . 已知双曲线
的左、右顶点分别为
、
,动直线
与圆
相切,且与双曲线左、右两支的交点分别为
.
![](https://img.xkw.com/dksih/QBM/2020/7/1/2496497727479808/2496761142763520/STEM/57c4a823d9df40038fb32492a7688365.png?resizew=182)
(1)求
的取值范围,并求
的最小值;
(2)记直线
的斜率为
,直线
的斜率为
,那么,
是定值吗?证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1fa37c4c826b5dcfebe86ab6177906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc5bd66dd6d5e09ff0893a938aed56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e453fda86a168d28478bd9772bee9d93.png)
![](https://img.xkw.com/dksih/QBM/2020/7/1/2496497727479808/2496761142763520/STEM/57c4a823d9df40038fb32492a7688365.png?resizew=182)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c54705d32dc6820f1a90eec2225dcf.png)
(2)记直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68634c2c23d016c50668fbfc198e3dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e460dd0fa7a3ce2fb223b69ca5a0a279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
您最近一年使用:0次
2020-07-01更新
|
340次组卷
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2卷引用:海南省海口市第一中学2018-2019学年高二上学期期中考试数学(A卷)试题