名校
解题方法
1 . 设
、
分别为具有公共焦点
、
的椭圆和双曲线的离心率,
是两曲线的一个公共点,且满足
,则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33558881906c228c262ff8024dcfc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f3688da13ad36dd4609e8f52e1d605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96117256153582f49d1067309c693e99.png)
您最近一年使用:0次
2016-12-03更新
|
555次组卷
|
5卷引用:2015-2016学年吉林省吉林一中高二11月月考理科数学卷
10-11高二下·吉林长春·期末
解题方法
2 . 已知
是椭圆
的左、右焦点,过点
作倾斜角为
的直线
交椭圆于
两点,
.
(1)求椭圆的离心率;
(2)若
,求椭圆的标准方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475a3fdc7b27d5ffa8c864dc478903d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a99ab29029a0a2604ba8fd5e9f238709.png)
(1)求椭圆的离心率;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f23420529a6a808d22d454e87a6194.png)
您最近一年使用:0次
12-13高二上·吉林长春·期末
3 . 设
分别是椭圆:
的左、右焦点,过
斜率为1的直线
与该椭圆相交于
两点,且
成等差数列.
(Ⅰ)求该椭圆的离心率;
(Ⅱ)设点
满足
,求该椭圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e70c65ad326a79fd3ea10d610f3cfa8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46542a780fb5b49fa3e9806e038658c4.png)
(Ⅰ)求该椭圆的离心率;
(Ⅱ)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6392c1cd4088165b31664a5d3b12753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a1e114f6780728627a1871f47b930.png)
您最近一年使用:0次
名校
4 . 中心在原点,焦点在x轴上的一椭圆与一双曲线有共同的焦点F1,F2,且|F1F2|=
,椭圆的长半轴长与双曲线半实轴长之差为4,离心率之比为3∶7.
(1)求这两曲线方程;
(2)若P为这两曲线的一个交点,求△F1PF2的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38acfaa0f912c2598cc341ec98da8a08.png)
(1)求这两曲线方程;
(2)若P为这两曲线的一个交点,求△F1PF2的面积.
您最近一年使用:0次
2016-12-04更新
|
407次组卷
|
3卷引用:2015-2016学年吉林省扶余市一中高二上学期期末考试理科数学试卷
2011·广东深圳·一模
名校
解题方法
5 . 已知椭圆
的左焦点
及点
,原点
到直线
的距离为
.
(1)求椭圆
的离心率
;
(2)若点
关于直线
的对称点
在圆
上,求椭圆
的方程及点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fdf846741b304bed6ee5744c1b3f98e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a477603f3f88c3b48352b6130f9ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1936b35d7998bbae3f299c4e42fb76.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473ed55b98860ae6c0fbf3663f6b9fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2016-12-01更新
|
542次组卷
|
5卷引用:2015-2016学年吉林省吉林一中高二下开学验收数学试卷
2015-2016学年吉林省吉林一中高二下开学验收数学试卷广州市岭南中学2016-2017学年期高二第二学期中考试理科数学试题江西省抚州市南城县第二中学2022-2023学年高二上学期第一次月考数学试题(已下线)2011届深圳市高三第一次调研考试数学文卷(已下线)2011-2012学年云南省会泽县茚旺高级中学高三上期中文科数学试卷