解题方法
1 . 已知
,
分别是双曲线C:
(
)的左、右焦点,过
作一直线交C于M,N两点,若
,且
的周长为1.则C的焦距为___________ .
![](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/99b343054b22bb3d30eeec12c3ae4d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f0ec66ed29f6a7d502a9da85ab2760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656690e5d6fe1b44a4983086229f34ae.png)
您最近一年使用:0次
名校
2 . 双曲线C:
的左,右焦点分别为
,
,过
的直线与C交于A,B两点,且
,
,点M为线段
的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.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/a3a7681c38f74e21181bb9de077b0c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6a4ebe4e7f13e979ac94a3b4904af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd12cd3cc9732627d3115abb76d55d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-12-27更新
|
998次组卷
|
4卷引用:河南省(菁师联盟)2022-2023学年高三上学期12月质量监测考试理科数学试题
解题方法
3 . 已知椭圆
和双曲线
的焦距相同,且椭圆
经过点
,椭圆
的上、下顶点分别为
,点
在椭圆
上且异于点
,直线
与直线
分别交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/75b1b072-1e3b-4a1a-80fe-44f13c992955.png?resizew=204)
(1)求椭圆
的标准方程;
(2)当点
运动时,以
为直径的圆是否经过
轴上的定点?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acca1c00ee33a8d7aabf1d626541259e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e454c7161999e2a67138869f59d319b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6074284a3d33225adde446bed11b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fec96b5e74f5c2915a1d34d0fdeb737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/75b1b072-1e3b-4a1a-80fe-44f13c992955.png?resizew=204)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
4 . 已知双曲线
的左右焦点分别为
,
,过点
且垂直于x轴的直线与该双曲线的左支交于A,B两点,
,
.分别交y轴于P,Q两点,若
的周长为12,则
取得最大值时,该双曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3656055f5256cd06e636ea96e9f89c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fea5f7430235e65d2c2e6b2ecc46712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84fca28db13d8525e905f56b02663f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-05-25更新
|
869次组卷
|
5卷引用:浙江省“9+1”联盟2019-2020学年高二下学期期中数学试题
浙江省“9+1”联盟2019-2020学年高二下学期期中数学试题(已下线)3.2 双曲线(难点)(课堂培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)(已下线)期中重难点突破专题03-【尖子生专用】2021-2022学年高二数学考点培优训练(人教A版2019选择性必修第一册)(已下线)第3章 圆锥曲线与方程 单元综合检测(能力提升)(单元培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)(已下线)2020年高考全国2数学理高考真题变式题6-10题