名校
解题方法
1 . 在平面直角坐标系
中,已知双曲线
的右焦点为
,一条渐近线的倾斜角为
,点
在双曲线
上.
(1)求双曲线
的标准方程;
(2)若点
在直线
上,点
在双曲线
上,且焦点
在以线段
为直径的圆上,分别记直线
的斜率为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a855587b8ce641f20294992e27d420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d599059e6b2c918ab15ee22611b6962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff6ae1209d4f0b0013a2299d211e6ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
您最近一年使用:0次
2024-01-25更新
|
162次组卷
|
4卷引用:广西壮族自治区北海市2023-2024学年高二上学期期末教学质量检测数学试题
名校
解题方法
2 . 已知双曲线
,过点
的直线l与该双曲线的两支分别交于
两点,设
,
.
(1)若
,点O为坐标原点,当
时,求
的值;
(2)设直线l与y轴交于点E,
,
,证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257daacf4f9e51faf431d5da4bccd6f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f251dc986252e8b88469aa76bbfe8d58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94165c5047e68e952df7a8dc6dc32fda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8968103ac7f02c521e7c3130b9a54f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112340e2528eb73480721b0f208419b8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70924f16a22ff64187035a74e696b97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be43c33ac26bcd6559cc320e45d70fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37474e3311493c2e3de8ca62ffc05b64.png)
(2)设直线l与y轴交于点E,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2830a108bfa2a11cb6ea5df1df8b8e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54883e5b7ebfa066c87e1d1d3bd9d65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff141a77e796894f84d0104f8f947e8a.png)
您最近一年使用:0次
2022-10-21更新
|
693次组卷
|
9卷引用:广西北海市2022-2023学年高二上学期期末教学质量检测数学试题
广西北海市2022-2023学年高二上学期期末教学质量检测数学试题河南省豫北名校2022-2023学年高二上学期10月教学质量检测数学试题辽宁省铁岭市昌图县第一高级中学2022-2023学年高二上学期期中数学试题(已下线)专题15 圆锥曲线大题专项练习(已下线)专题15 圆锥曲线大题专项练习江西省南昌市八一中学2022-2023学年高二上学期12月月考数学试题(已下线)专题08 椭圆双曲线综合大题(9题型)-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)陕西省宝鸡市长岭中学2023-2024学年高二上学期期中考试数学试题江西省遂川县唐彩高级中学、永丰县欧阳修高级中学2023-2024学年高二下学期第二次联考数学试题