名校
1 . 已知椭圆
的离心率
,长轴的左、右端点分别为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4bd53315fe8bb59e8d66b0e7b36465.png)
(1)求椭圆
的方程;
(2)设直线
与椭圆
交于
两点,直线
与
交于点
,试问:当
变化时,点
是否恒在一条直线上?若是,请写出这条直线的方程,并证明你的结论;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4bd53315fe8bb59e8d66b0e7b36465.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/303094682b317daea83be885d1c7ff4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afabae304b3812b793aaa4da4deb3a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec18c028746b73be7503ff6ff458a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2022-04-05更新
|
3271次组卷
|
16卷引用:河南省新乡市诚城卓人学校2021-2022学年高二上学期12月月考数学理科试题
河南省新乡市诚城卓人学校2021-2022学年高二上学期12月月考数学理科试题广东省广州市第二中学高二上学期数学人教A版选修2-1模块测试试卷安徽省合肥市庐阳区第一中学2019-2020学年高二上学期期末数学(理)试题安徽省合肥市第一中学2019-2020学年高二上学期期末理科数学试题北京市门头沟区2022届高三上学期期末调研数学试题北京市首都师范大学附属中学2022届高三下学期开学检测数学试题四川省眉山市仁寿县第一中学2021-2022学年高三二诊模拟考试数学(文)试题陕西省西安工业大学附属中学2022届高三下学期第七次适应性训练文科数学试题重庆市缙云教育联盟2022届高三第二次诊断性检测数学试题(已下线)三轮冲刺卷02-【赢在高考·黄金20卷】备战2022年高考数学(理)模拟卷(全国卷专用)(已下线)临考押题卷02-2022年高考数学临考押题卷(北京卷)(已下线)回归教材重难点04 圆锥曲线-【查漏补缺】2022年高考数学(文)三轮冲刺过关辽宁省沈阳市东北育才学校科学高中部2022届高三第七次模拟(线上)数学试题(已下线)专题7 圆锥曲线之极点与极线 微点3 圆锥曲线之极点与极线综合训练(已下线)第27讲 圆锥曲线中定直线问题-【同步题型讲义】2022-2023学年高二数学同步教学题型讲义(人教A版2019选择性必修第一册)(已下线)重难点突破16 圆锥曲线中的定点、定值问题 (十大题型)-2
解题方法
2 . 已知椭圆
,双曲线
,设椭圆
与双曲线
有相同的焦点,点
,
分别为椭圆
与双曲线
在第一、二象限的交点.
(1)求椭圆
的标准方程;
(2)设直线
与
轴相交于点
,过点
作直线交椭圆
于
,
两点(不同于
,
),求证:直线
与直线
的交点
在一定直线上运动,并求出该直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0fe9059acc47d2447576e1260c4622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154330ed83f84360ccd0c2c59973f674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d2434ee56e28be2c28d278e4a53e99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c493c860dba2c861a596db8059a5a96c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2021-08-04更新
|
781次组卷
|
5卷引用:河南省许昌市2020-2021学年高二下学期期末数学(理)试题
河南省许昌市2020-2021学年高二下学期期末数学(理)试题(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)3.2 双曲线的标准方程-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) 云南省昆明市第二十四中学2023届高三下学期教学质量第二次监测数学(理)试题(已下线)3.2 双曲线(练习)-高二数学同步精品课堂(苏教版2019选择性必修第一册)
3 . 设点
、
分别是椭圆C:
的左、右焦点,且
,点M、N是椭圆C上位于
轴上方的两点,且向量
与向量
平行.
(1)求椭圆C的方程;
(2)当
时,求
的面积;
(3)当
时,求直线
的方程.
![](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/36fcadd63cbad0c7b883e04507232ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba39e809fac8f3ccb81f5bc4a71bec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8c53921a9bbb356d2da12fde7e3526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58caa827baae837a041c9b05f31c46e.png)
(1)求椭圆C的方程;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fd31a29214fa32bf0422b452a22416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bad3be8e3fdeda3a12251d3751715e1.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d8098e85e1d02fac617d1222fb8e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbdbe9a17a23c44cec8c7475c4dc1a9.png)
您最近一年使用:0次
名校
解题方法
4 . 设椭圆
方程为
,椭圆
的短轴长为2,离心率为
.
(1)求椭圆
的方程;
(2)设
分别为椭圆
的左、右顶点,过定点
的直线与椭圆
交于
两点,证明:直线
,
的交点在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077855b1492bf35aac52f358e5e093ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c29a7e8eea08197bf53164a560bee58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2021-07-18更新
|
1480次组卷
|
7卷引用:重庆市西南大学附属中学2020-2021学年高二下学期期末数学试题
重庆市西南大学附属中学2020-2021学年高二下学期期末数学试题(已下线)3.1 椭圆-2021-2022学年高二数学尖子生同步培优题典(苏教版2019选择性必修第一册)(已下线)第2章《圆锥曲线与方程》章节复习巩固(基础练)-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)(已下线)3.1.1 (整合练)椭圆及其标准方程-2021-2022学年高二数学考点同步解读与训练(人教A版2019选择性必修第一册)(已下线)期末重难点突破专题01-【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)椭圆的综合问题(已下线)第五篇 向量与几何 专题9 完全四点形的调和性 微点2 完全四点形的调和性综合训练
名校
解题方法
5 . 阿波罗尼斯是古希腊著名数学家,他的主要研究成果集中在他的代表作《圆锥曲线》一书中.阿波罗尼斯圆是他的研究成果之一,指的是已知动点
与两定点
,
的距离之比
,
是一个常数,那么动点
的轨迹就是阿波罗尼斯圆,圆心在直线
上.已知动点
的轨迹是阿波罗尼斯圆,其方程为
,定点分别为椭圆
的右焦点
与右顶点
,且椭圆
的离心率为
.
的标准方程;
(2)如图,过右焦点
斜率为
的直线
与椭圆
相交于
,
(点
在
轴上方),点
,
是椭圆
上异于
,
的两点,
平分
,
平分
.
①求
的取值范围;
②将点
、
、
看作一个阿波罗尼斯圆上的三点,若
外接圆的面积为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c216350e17d9c2923bbb5a88857d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343615457604ef10fe990dabd87de36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/d5c7316976a221c051a2c14df80b1347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如图,过右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f90d13daca1f0d9f673d9b9b748499.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda40d4d62aa28f9e5f877bbea5ce511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1492f2abc84300b30768aec34952250e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963111aff6952322dfaca75ae069873c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf0d9011ae8816a8368189bbd4942e5.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bda2c1e94af9c9c4ea5b0ab763a2f37.png)
②将点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40631b29484bd9e39b6d26791dc05a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7de20fe4ddee31adafad5699fb84b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-07-12更新
|
5169次组卷
|
11卷引用:重庆市巴蜀中学2020-2021学年高二下学期期末数学试题
重庆市巴蜀中学2020-2021学年高二下学期期末数学试题(已下线)专题12 圆锥曲线的方程的压轴题(二)-【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)专题08 《圆锥曲线与方程》中的解答题压轴题(2)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册) (已下线)专题1 阿波罗尼斯圆及其应用 微点4 阿波罗尼斯圆与圆锥曲线重庆市南开中学校2023届高三上学期期末数学试题安徽省合肥一六八中学等学校2024届高三上学期名校期末联合测试数学试题安徽“耀正优+”2024届高三名校上学期期末测试数学试题(已下线)圆锥曲线新定义(已下线)信息必刷卷01(江苏专用,2024新题型)河南省信阳市新县高级中学2024届高三考前第三次适应性考试数学试题
名校
解题方法
6 . 已知点
是椭圆
的右焦点,过点
的直线
交椭圆于
两点,当直线
过
的下顶点时,
的斜率为
,当直线
垂直于
的长轴时,
的面积为
.
(Ⅰ)求椭圆
的标准方程;
(Ⅱ)当
时,求直线
的方程;
(Ⅲ)若直线
上存在点
满足
成等比数列,且点
在椭圆外,证明:点
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98214cac757430c9d5775ad0dadb185a.png)
![](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/7789a500686c7a73770404ead6af0590.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.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/25dd698d57d1cf239eb8752aecaaa4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebde58ddedcd6c53580d41dd5dbd0cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅲ)若直线
![](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/0e35b1c1dffbaccc72196ed21a0cea04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2020-05-11更新
|
1615次组卷
|
5卷引用:黑龙江省哈尔滨市第九中学2020-2021学年度高二上学期期末考试数学(文)试题
黑龙江省哈尔滨市第九中学2020-2021学年度高二上学期期末考试数学(文)试题(已下线)3.1 椭圆-2021-2022学年高二数学尖子生同步培优题典(人教A版2019选择性必修第一册)2020届天津市南开区高考一模数学试题江苏省扬州中学2020-2021学年高二上学期期中数学试题(已下线)高二上学期期末综合测试一+(B卷提升卷)-2020-2021学年高二数学上学期同步单元AB卷(苏教版,新课改地区专用)
名校
7 . 已知椭圆
的左、右焦点
在
轴上,中心在坐标原点,长轴长为4,短轴长为
.
(1)求椭圆的标准方程;
(2)是否存在过
的直线
,使得直线
与椭圆
交于
,
?若存在,请求出直线
的方程;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(1)求椭圆的标准方程;
(2)是否存在过
![](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/0f85fca60a11e1af2bf50138d0e3fe62.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/c85d02822aed80dc070e71f496310bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2020-03-19更新
|
257次组卷
|
5卷引用:重庆市凤鸣山中学2020-2021学年高二下学期第一次月考数学试题
重庆市凤鸣山中学2020-2021学年高二下学期第一次月考数学试题(已下线)卷07 圆锥曲线的方程——章节重难点突破卷-【重难点突破】2021-2022学年高二数学上册常考题专练(人教A版2019选择性必修第一册)云南省云天化中学2018-2019学年高二下学期期中教学质量评估数学(文)试题云南省云天化中学2018-2019学年高二下学期期中教学质量评估数学(理)试题湖北省襄阳市南漳县第一中学2021-2022学年高二下学期3月月考数学试题
名校
8 . 设椭圆
的离心率为
,直线
过椭圆的右焦点
,与椭圆交于点
;若
垂直于
轴,则
.
(1)求椭圆的方程;
(2)椭圆的左右顶点分别为
,直线
与直线
交于点
.求证:点
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cbdd945cdadb7dca0d281d791374573.png)
(1)求椭圆的方程;
(2)椭圆的左右顶点分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663368000ac90f582d12675aa2d1e832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b06b75fb4e379ff3b99e68f40136cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2020-01-28更新
|
920次组卷
|
7卷引用:苏教版(2019) 选修第一册 一蹴而就 第3章 微专题集训三 直线与椭圆的位置关系
9 . 已知椭圆
:
(
)的左、右顶点分别为
,
,
,点
在
上,
在
轴上的射影为
的右焦点
,且
.
(1)求
的方程;
(2)若
,
是
上异于
,
的不同两点,满足
,直线
,
交于点
,求证:
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b104867a12d24a353d94858c2fa17c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e8124f28c2de66e00b804b68500762.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12777a96242feadf7964af7823b7450c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2018-03-16更新
|
465次组卷
|
4卷引用:苏教版(2019) 选修第一册 突围者 第3章 全章综合检测
名校
10 . 如图,曲线
由上半椭圆
和部分抛物线
连接而成,
的公共点为
,其中
的离心率为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/3/644075a5-d5bb-4b0a-b725-27c3630524b2.png?resizew=163)
(Ⅰ)求
的值;
(Ⅱ)过点
的直线
与
分别交于
(均异于点
),若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f619f9952a6b29614bfaa63ca0018e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8090a3463085999b5314b61c42efa047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b095dae4b5d339d340cb6e06b33ad5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/3/644075a5-d5bb-4b0a-b725-27c3630524b2.png?resizew=163)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(Ⅱ)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e8b17a7840ae7b75590da92fa0965b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2016-12-03更新
|
2432次组卷
|
12卷引用:高中数学解题兵法 第八十八讲 重在构造、移花接木
高中数学解题兵法 第八十八讲 重在构造、移花接木2016届广东省惠州市高三第一次调研考试数学理试卷12016届广东省惠州市高三第一次调研考试数学理试卷2河南省息县第一高级中学2017届高三下学期第三次适应性测试数学(理)试题贵州省思南中学2016-2017学年高二下学期期末考试数学(理)试题安徽省合肥庐阳高级中学2017-2018学年高二(上)期末考试理科数学试题福建省厦门一中2019-2020学年高二上学期10月月考数学试题四川省攀枝花市第十五中学2019-2020学年高二上学期第一次月考数学理科试卷(已下线)专题28 抛物线-十年(2011-2020)高考真题数学分项(已下线)考点30 直线与圆锥曲线-2021年新高考数学一轮复习考点扫描2023版 北师大版(2019) 选修第一册 名师精选卷 第九单元 直线与圆锥曲线的位置关系(已下线)专题24 解析几何解答题(理科)-3