1 . 已知双曲线
的渐近线方程为
,且过点
.
(1)求双曲线
的标准方程;
(2)若点
,过右焦点
且与坐标轴都不垂直的直线
与
交于
,
两点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a230a8f61af5bc893ba2ba7461478e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb93f7ff9c77f337896dc96bbd358a6.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5028dbec933b301c57d773161dced1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a204540ce1b025edce5a3160881a7f.png)
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2022-10-15更新
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2卷引用:河南省鹤壁市浚县第一中学2022-2023学年高二上学期11月考试数学试题