解题方法
1 . 已知椭圆
的离心率为
,其左、右顶点分别为
,
,左、右焦点为
,
,点
为椭圆上异于
,
的动点,且
的面积最大值为
.
(1)求椭圆
的方程;
(2)设过定点
的直线交椭圆
于
,
两点(与
,
不重合)证明:直线
与直线
的交点的横坐标为定值.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设过定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e4a3aea4b4b0d87c014030a6ff9027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
您最近一年使用:0次
2 . 已知椭圆
的离心率
,其左,右集点为
,过点
的直线
与椭圆
交于
两点、
的周长为
.
(1)求椭圆
的标准方程:
(2)过
右焦点的直线
互相垂直,且分别交椭圆
于
和
四点,求
的最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5585a42c8f07ad90b94ace9db3d78994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee05b3210c8964deef8ff771173d288.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532fb9d8a0715b513e9e3f144ea264e9.png)
您最近一年使用:0次
2021-03-28更新
|
1343次组卷
|
6卷引用:内蒙古赤峰市2021届高三一模数学(文)数学
内蒙古赤峰市2021届高三一模数学(文)数学内蒙古赤峰市2021届高三下学期3月模拟考试文科数学试题(已下线)押第20题 解析几何-备战2021年高考数学(文)临考题号押题(全国卷1)(已下线)押第20题 解析几何-备战2021年高考数学(理)临考题号押题(全国卷1)广东省揭阳市普宁市华侨中学2021届高三下学期二模数学试题(已下线)专题04 圆锥曲线(难点)-2020-2021学年高二数学下学期期末专项复习(北师大版2019选择性必修第一册、第二册)
名校
解题方法
3 . 已知椭圆
的右焦点为
,过点
且与
轴垂直的直线被椭圆截得的线段长为
,且
与短轴两端点的连线相互垂直.
(1)求椭圆
的方程;
(2)若圆
上存在两点
,
,椭圆
上存在两个点
满足:
三点共线,
三点共线,且
,求四边形
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b96eda0601673fafb836643969914f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a86e446c5c6e86f0fc040404e03c819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d5e8b886d20aba4e1332a2da81e97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22d169f2bb331cf379e4ae997ca5e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99393efa04579f3db5cf4f7e319f0440.png)
您最近一年使用:0次
2020-04-22更新
|
1379次组卷
|
5卷引用:2020届内蒙古包头市高三第一次模拟考试 数学(理)试题
名校
解题方法
4 . 已知椭圆C:
+
=1(a>b>0)的短轴长为2,且椭圆C的顶点在圆M:x2+
2=
上.
(1)求椭圆C的方程;
(2)过椭圆的上焦点作相互垂直的弦AB,CD,求|AB|+|CD|的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae2ab50ebf59903fd01c506cc238e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be773167be3ff7ec4fb4a7252dc64283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56c1daae9857d00e2c3a1b700410bf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求椭圆C的方程;
(2)过椭圆的上焦点作相互垂直的弦AB,CD,求|AB|+|CD|的最小值.
您最近一年使用:0次
2020-01-21更新
|
462次组卷
|
7卷引用:【全国百强校】内蒙古赤峰二中2019届高三上学期第三次月考数学(文)试题
【全国百强校】内蒙古赤峰二中2019届高三上学期第三次月考数学(文)试题山西省实验中学2017届高三下学期模拟热身数学(文)试题河北省武邑中学2019届高三上学期期中考试数学(理)试题【市级联考】河南省驻马店市2018-2019学年高二第一学期期终考试数学(理)试题(已下线)专题9.9 圆锥曲线的综合问题(练)【理】-《2020年高考一轮复习讲练测》(已下线)考点63 直线与圆锥曲线的位置关系-备战2022年高考数学一轮复习考点帮(新高考地区专用)【学科网名师堂】(已下线)第63讲 直线与圆锥曲线