名校
解题方法
1 . 已知双曲线
(
,
)的左、右顶点分别为
、
,离心率为2,过点
斜率不为0的直线l与
交于P、Q两点.
(1)求双曲线
的渐近线方程;
(2)记直线
、
的斜率分别为
、
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a35802f04f793ebd9c8be4c9e21cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadbf7aa4f403594ba11782c1313f1e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91cc73fc003489f948409634b6abbf8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6d57a429a90bebc86693c02fc378fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)记直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec18c028746b73be7503ff6ff458a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
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2022-03-13更新
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6卷引用:重庆市第八中学校2021-2022学年高二下学期期末复习二数学试题