已知椭圆
的离心率为
,右准线方程为
.
![](https://img.xkw.com/dksih/QBM/2021/7/11/2762011246452736/2762172619005952/STEM/bbd6aacf-0fa6-414e-8dee-ace8b1f87254.png?resizew=271)
(1)求椭圆
的标准方程;
(2)过椭圆的右焦点
作斜率为
的直线
与椭圆
交于
、
两点,
为右准线与
轴的交点,记直线
的斜率为
,直线
的斜率为
,若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c778e409fe63e187a09444bc888e8f3.png)
![](https://img.xkw.com/dksih/QBM/2021/7/11/2762011246452736/2762172619005952/STEM/bbd6aacf-0fa6-414e-8dee-ace8b1f87254.png?resizew=271)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过椭圆的右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2a6a6f47f48b15e980dab36fd36671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
18-19高二下·江苏苏州·期中 查看更多[2]
更新时间:2021-07-11 22:37:29
|
相似题推荐
解答题-问答题
|
较难
(0.4)
名校
【推荐1】已知椭圆的中心在原点,焦点在x轴上
分别为左、右焦点,椭圆的一个顶点与两焦点构成等边三角形,且
.
(1)求椭圆方程;
(2)对于x轴上的某一点T,过T作不与坐标轴平行的直线L交椭圆于
两点,若存在x轴上的点S,使得对符合条件的L恒有
成立,我们称S为T的一个配对点,当T为左焦点时,求T的配对点的坐标;
(3)在(2)条件下讨论当T在何处时,存在有配对点?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7268f78d0cbf2b17261b769e852375b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b593ba67824961ff7d9e3922a4666468.png)
(1)求椭圆方程;
(2)对于x轴上的某一点T,过T作不与坐标轴平行的直线L交椭圆于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47fad1530eff87a020a1a947cfb56258.png)
(3)在(2)条件下讨论当T在何处时,存在有配对点?
您最近一年使用:0次
解答题-问答题
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较难
(0.4)
名校
解题方法
【推荐2】已知焦点在
轴上的椭圆的左、右焦点分别为
,
,上顶点为
,离心率为
,
的面积为
.
(1)求椭圆的标准方程.
(2)若过点
的直线与该椭圆交于
,
两点,
与
分别表示
和
的面积,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47444b5fbc4252516d54263062e47c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
(1)求椭圆的标准方程.
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8be8c61966aae2791f4fbde70bb88d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f79180c6ffd1f0766df8e231d12f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4fd7fa2b475ce1b169c3515df2c9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5798a198e276eb18cdb4837bdab85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c72ba853ca4c12af9b6bad7e70ba2c6.png)
您最近一年使用:0次
【推荐1】在平面直角坐标系xoy中,已知椭圆
的左顶点与上顶点的距离为
,且经过点
.
![](https://img.xkw.com/dksih/QBM/2020/11/12/2590928333660160/2591387842019328/STEM/7cd61f94-68ed-451d-8847-908bcd02c251.png?resizew=256)
(1)求椭圆C的方程.
(2)直线
与椭圆C相交于P、Q两点,M是PQ的中点.若椭圆上存在点N满足
,求证:△PQN的面积S为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f21c7162941d2b54ebafb1795599195.png)
![](https://img.xkw.com/dksih/QBM/2020/11/12/2590928333660160/2591387842019328/STEM/7cd61f94-68ed-451d-8847-908bcd02c251.png?resizew=256)
(1)求椭圆C的方程.
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee4f9a062e957b6e8004df097a44609.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
解题方法
【推荐2】已知
分别为椭圆
的左、右焦点,椭圆E的离心率为
,过
且不与坐标轴垂直的直线
与椭圆E交于A,B两点,
的周长为8.
(1)求椭圆E的标准方程;
(2)过
且与
垂直的直线
与椭圆E交于C,D两点,求四边形ACBD面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ff8a5886e42095da57422c8777c10d.png)
(1)求椭圆E的标准方程;
(2)过
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
您最近一年使用:0次