解题方法
1 . 已知椭圆
的左,右焦点分别为
,
,焦距为
,点
在
上.
(1)
是
上一动点,求
的范围;
(2)过
的右焦点
,且斜率不为零的直线
交
于
,
两点,求
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.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/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a20dc43538548ac95367b0a5695fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)
![](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/34005d3b709a89e3db6bb786bbfb2369.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/c5db41a1f31d6baee7c69990811edb9f.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/76ea1c3fe8431260ecb8dffcdae8d570.png)
您最近一年使用:0次
解题方法
2 . 已知点
,
在椭圆
上.
(1)求椭圆C的离心率;
(2)过点P的直线
与椭圆的另一个交点为R,当
(
为坐标原点)的面积最大时,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328aaba77106396d4ca644c8b7a352e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6279af64d303267c35dc8d885a2bf9f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
(1)求椭圆C的离心率;
(2)过点P的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a840183bf89cb5e9f6d4adc7681dc111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
解题方法
3 . 已知椭圆C:
经过点
,其长半轴长为2.
(1)求椭圆C的方程:
(2)设经过点
的直线
与椭圆C相交于D,E两点,点E关于x轴的对称点为F,直线DF与x轴相交于点G,求
的面积
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d38c670ff6957144c4a8d2550065c4.png)
(1)求椭圆C的方程:
(2)设经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42f05b013e4b7166cbc87c5a83d6a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d480e8b2c516612b47a19cb62d9bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2022-04-29更新
|
2446次组卷
|
6卷引用:江苏省南京市金陵中学2022届高三学业水平选择性模拟考前最后一卷数学试题
4 . 已知椭圆的中心在坐标原点
,焦点在
轴上,离心率
,且____________.
在①过点
;②过焦点且垂直于长轴的弦的长度为
;③长轴长为6这三个条件中任选一个,补充在上面问题中,并解答.
(1)求椭圆的方程;
(2)过右焦点
的直线
交椭圆于
、
两点.当直线
的倾斜角为
时,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8328c021c9a815bf28a443563931aa.png)
在①过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bbf049b9152f8fc3703404c687a9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求椭圆的方程;
(2)过右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fdc02f00cf00a6dfd88b53a90f1f7a4.png)
您最近一年使用:0次
2021-12-10更新
|
1357次组卷
|
7卷引用:2021年黑龙江省哈尔滨市第三中学校高二上学期期中数学试题
2021年黑龙江省哈尔滨市第三中学校高二上学期期中数学试题河北省深州市长江中学2021-2022学年高二上学期期末数学试题2023版 北师大版(2019) 选修第一册 突围者 第二章 全章综合检测高考新题型-圆锥曲线(已下线)第3章 圆锥曲线与方程 综合测试-【暑假自学课】2023年新高二数学暑假精品课(苏教版2019必修第一册)(已下线)模块四 专题7 高考新题型(劣构题专训)基础夯实练(人教A)宁夏回族自治区银川市育才中学2023-2024学年高三上学期月考五文科数学试题
名校
解题方法
5 . 已知椭圆
(
)的离心率为
,长轴长为
,左、右焦点分别为F1,F2,上顶点为A.
(1)求椭圆的方程;
(2)若点P为椭圆上一点,且∠F1F2P=90°,求△F1F2P的面积;
(3)过点A作斜率为k1,k2的两条直线,分别交椭圆于D,E两点,若D,E两点关于原点对称,求k1k2的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
(1)求椭圆的方程;
(2)若点P为椭圆上一点,且∠F1F2P=90°,求△F1F2P的面积;
(3)过点A作斜率为k1,k2的两条直线,分别交椭圆于D,E两点,若D,E两点关于原点对称,求k1k2的值.
您最近一年使用:0次
名校
解题方法
6 . 已知椭圆E:
的右焦点为F,右顶点为A1,设离心率为e,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0cb51f6668ce68f11ccc0c31fdcba1d.png)
,其中O为坐标原点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/94b8ffb5-6d9b-4a76-9c95-dcb1658a2796.png?resizew=188)
(1)求椭圆E的方程;
(2)过右焦点F的直线与椭圆E交于A,B两点,线段AB的垂直平分线交直线AB于点C,交直线l:x=2于点P,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01d515029b29f868a438956f58b6def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0cb51f6668ce68f11ccc0c31fdcba1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b292a041f2b41dd7d60e8e59842502.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/94b8ffb5-6d9b-4a76-9c95-dcb1658a2796.png?resizew=188)
(1)求椭圆E的方程;
(2)过右焦点F的直线与椭圆E交于A,B两点,线段AB的垂直平分线交直线AB于点C,交直线l:x=2于点P,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e032073446e25d9e9e0e8a9756b654ca.png)
您最近一年使用:0次
解题方法
7 . 已知椭圆
:
的长轴长为6,离心率为
.
(1)求椭圆
的方程;
(2)直线
与椭圆
交于
,
两点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.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/05da40a2d7dab5d6a003906ca19d4749.png)
您最近一年使用:0次
2020-11-28更新
|
1789次组卷
|
3卷引用:黑龙江省2020-2021学年高二第一学期学业水平考试 数学(理)试题
黑龙江省2020-2021学年高二第一学期学业水平考试 数学(理)试题黑龙江省2020-2021学年高二第一学期学业水平考试 数学(文)试题(已下线)考点47 直线与椭圆的位置关系(考点专练)-备战2021年新高考数学一轮复习考点微专题
名校
解题方法
8 . 如图,
分别是椭圆
:
+
=1(
)的左、右焦点,
是椭圆
的顶点,
是直线
与椭圆
的另一个交点,
.
(1)求椭圆
的离心率;
(2)已知
的面积为
,求a,b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7355be4fcbc3130a5951364a3be76d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5268413295580cfda0755ab458b36b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86dbcf83cd5d3421b3eed7be7dab32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74064c3fa84f604f6636f6bbf778bdc1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/15/4955c2a5-db97-4ebd-ac50-54437ea73682.png?resizew=160)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bf0cf2f9b056030f17dfba06f62b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd1766294dc48dd810a6ab4840703a0.png)
您最近一年使用:0次
2020-09-21更新
|
690次组卷
|
16卷引用:2019年浙江省普通高中学业水平名校模拟卷(六)
2019年浙江省普通高中学业水平名校模拟卷(六)陕西省渭南市大荔县2019-2020学年高二上学期期末数学(理)试题广东省佛山市第一中学2019-2020学年高二上学期第二次段考数学试题(已下线)专题26 椭圆-十年(2011-2020)高考真题数学分项(已下线)【新东方】绍兴qw103广西南宁市上林县中学2020-2021学年高二上学期期末考试数学(文)试题宁夏吴忠中学2020-2021学年高二下学期期末数学(文)试题(已下线)检测(二)-【专题突破】2021-2022学年高二数学之圆锥曲线与方程(人教A版选修1-1)江苏省淮安市淮安区2020-2021学年高二上学期期中数学试题福建省南安市第三中学2021-2022学年高二10月检测数学试题(已下线)专题42 盘点圆锥曲线中的面积问题——备战2022年高考数学二轮复习常考点专题突破江苏省扬州市江都区、仪征市2021-2022学年高二上学期12月联考数学试题陕西省西安市长安区第一中学2022-2023学年高二上学期第一次质量检测文科数学试题北京市第一零九中学2023届高三高考冲刺数学试题广东省深圳市盐田高级中学2021-2022学年高二上学期期中数学试题江苏省镇江市扬中市第二高级中学2023-2024学年高二上学期期中数学试题
解题方法
9 . 已知椭圆
的离心率为
,右焦点
.
(Ⅰ)求椭圆
的方程;
(Ⅱ)若直线
与圆
相切,且与椭圆
交于
、
两点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ce47fde921058026708a4321a0e213.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c674f3c711069ccc820a033c1acea08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b4bcb812c997db47214cb52c905f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/af8731669a3d9372520d4f4c328fc52a.png)
您最近一年使用:0次
解题方法
10 . 动点
在椭圆
上,过点
作
轴的垂线,垂足为
,点
满足
,已知点
的轨迹是过点
的圆.
(1)求椭圆
的方程;
(2)设直线
与椭圆
交于
,
两点(
,
在
轴的同侧),
,
为椭圆的左、右焦点,若
,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16088f0f60f1ce8ca9961ccc96097be9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a291e0d0e2f620a15826a1aa3c04bc37.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
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3卷引用:山东省2019-2020学年普通高中学业水平等级考试4月(模拟)数学试题