名校
解题方法
1 . 已知椭圆
:
(
)内切于圆
:
,焦距为
.
(1)求椭圆
的标准方程;
(2)过椭圆
的右焦点
的直线
与椭圆
交于
,
两点,分别以
,
为切点的两条切线交于一点
,求
的最小值.附:椭圆
:
上一点
处的切线方程为
:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过椭圆
![](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/0f85fca60a11e1af2bf50138d0e3fe62.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/8455657dde27aabe6adb7b188e031c11.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/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca314a37319b15a901e659d3fdab8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6605eeb1a5e5f19c34822b46af13710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb30e90a1a46a7a0b4a5d7b12260478.png)
您最近一年使用:0次
2021-11-09更新
|
326次组卷
|
2卷引用:河南省湘豫名校联盟2021-2022学年高三上学期11月联考文科数学试题
名校
解题方法
2 . 已知以坐标原点为中心,坐标轴为对称轴的椭圆
经过点
,
.
(1)求椭圆
的标准方程.
(2)设过点
的直线
与
交于
,
两点,点
在
轴上,且
,是否存在常数
使
?如果存在,请求出
;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3b441d264fdeb442d917f67cd7ab78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0695461315fa91b634e2b1e1476d8df1.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bad5c8242fe49649c4224e710818a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363bfc5cca213b3c9344b0c8f97781b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-10-07更新
|
892次组卷
|
5卷引用:河南省2020-2021学年高二下学期期末数学(理)试题
河南省2020-2021学年高二下学期期末数学(理)试题河南省2020-2021学年高二下学期期末数学(文科)试题重庆市天星桥中学2021-2022学年高二上学期第二次月考数学试题(已下线)专题9.7 圆锥曲线综合问题 2022年高考数学一轮复习讲练测(新教材新高考)(讲)安徽省安庆市第一中学2023-2024学年高二上学期期末考试数学试卷
3 . 已知曲线
的方程为
,过
且与
轴垂直的直线被曲线
截得的线段长为
.
(1)求曲线
的标准方程;
(2)过点
的直线
交
于
,
两点,已知点
,直线
,
分别交
轴于点
,
.试问在
轴上是否存在一点
,使得
?若存在,请求出点
的坐标;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/b14b23c654d403c43e0383b7d3a1f6e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5973fe67568caf975b1cef998a363227.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/cf298f00799cbf34b4db26f5f63af92f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a525534689bd2701205d4ab17574c39.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/cb7bbd15ddf2ac840cc08ad8492a0164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d9148529d0b22cfc2e442b2c356c772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
名校
解题方法
4 . 已知椭圆
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
的左、右焦点分别为
,
,且
,点
在椭圆
上.
(1)求椭圆
的标准方程.
(2)
为椭圆
上一点,射线
,
分别交椭圆
于点
,
,试问
是否为定值?若是,求出该定值;若不是,请说明理由.
![](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/434249d6640b0c1a712d215cf8b83d5c.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/a2644e9f73e5871db934fdafc431d675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1da31f31ed82b89a62e2a8b7c1ce45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)
![](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/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.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/5e5a29b7ed0c415987dfc800850231a2.png)
您最近一年使用:0次
2021-09-24更新
|
1114次组卷
|
10卷引用:河南省2021-2022学年高三上学期调研考试(三)理科数学试题
河南省2021-2022学年高三上学期调研考试(三)理科数学试题老高考卷2021-2022学年高三上学期开学摸底联考数学(文)试题吉林省长春市重点高中2021-2022学年高三上学期第一次月考 数学(理)试题(已下线)第3章 圆锥曲线的方程 章末测试(提升)-2021-2022学年高二数学一隅三反系列(人教A版2019选择性必修第一册)(已下线)期末综合检测卷二 -2021-2022学年高二数学同步单元AB卷(人教A版2019选择性必修第一册)江西省丰城市第九中学2022届高三(日新部)上学期第一次月考数学(理)试题山东省青岛市青岛第五十八中学2011-2022学年高二上学期期中数学试题(已下线)一轮复习大题专练59—椭圆(定值问题)—2022届高三数学一轮复习新疆喀什地区疏附县2022届高三第一次高考模拟考试数学试题山东省青岛第五十八中学2020-2021学年高二上学期期中考试数学试题
2022高三·全国·专题练习
名校
解题方法
5 . 已知椭圆C:
的长轴长为4,若点P是椭圆C上任意一点,过原点的直线l与椭圆相交于M、N两点,记直线PM、PN的斜率分别为
,当
时,则椭圆方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edfc4cbcb4bf112e806447c10a1b287.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e70a068586bbddbc33e305611416db0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-09-14更新
|
3311次组卷
|
6卷引用:河南省南阳华龙高级中学2021-2022学年高二上学期12月月考文科数学试题
河南省南阳华龙高级中学2021-2022学年高二上学期12月月考文科数学试题(已下线)3.1.2椭圆的简单几何性质(备作业)-【上好课】2021-2022学年高二数学同步备课系列(人教A版2019选择性必修第一册)四川省攀枝花市第三高级中学校2021-2022学年高二上学期第一次月考数学(理)试题(已下线)专题41椭圆-2022年(新高考)数学高频考点+重点题型(已下线)11.1 椭圆-1四川省宜宾市第四中学校2022-2023学年高二上学期期中考试数学(理)试题
名校
解题方法
6 . 已知
,
分别为椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470cde3e5244dfbbb08078d8e5717ccb.png)
的左、右焦点,椭圆上任意一点
到焦点距离的最小值与最大值之比为
,过
且垂直于长轴的椭圆
的弦长为
.
(1)求椭圆
的标准方程;
(2)过
的直线与椭圆
相交的交点
、
与右焦点
所围成的三角形的内切圆面积是否存在最大值?若存在,试求出最大值;若不存在,说明理由.
![](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/470cde3e5244dfbbb08078d8e5717ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04239f37cf5218093585663ccb5688eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.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/a3fb78c5f885034612c0e030b920143d.png)
您最近一年使用:0次
2021-09-12更新
|
1575次组卷
|
14卷引用:河南省顶级名校2021-2022学年高三上学期9月开学联考数学(理)试题
河南省顶级名校2021-2022学年高三上学期9月开学联考数学(理)试题河南省顶级名校2021-2022学年高三上学期9月开学联考数学(文)试题湘豫名校联考2022届高三上学期8月数学文科试题四川省成都市树德中学2021-2022学年高三上学期10月阶段性测试数学(文)试题四川省成都市树德中学2021-2022学年高三上学期10月阶段性测试数学(理)试题吉林省白城市第一中学2021-2022学年高二上学期期中数学试题山西省稷山中学2021-2022学年高二上学期第二次月考数学试题福建省福州屏东中学2021-2022学年高二上学期期中考试数学试题(已下线)3.1.1椭圆及其标准方程(备作业)-【上好课】2021-2022学年高二数学同步备课系列(人教A版2019选择性必修第一册)河北省廊坊市第一中学2021-2022学年高一上学期12月考试数学试题(已下线)一轮复习大题专练56—椭圆(面积最值问题1)—2022届高三数学一轮复习(已下线)专题31 圆锥曲线存在性问题的五种类型大题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)江苏省南通市如东高级中学2022-2023学年高三上学期12月阶段测试数学试题河北省2023届高三模拟数学试题
解题方法
7 . 在
中,已知
,
,
交
于点
,
为
中点,满足
,点
的轨迹为曲线
.
(1)求曲线
的方程:
(2)过点
作直线
交曲线
于
,
两点,试问以
为直径的圆是否恒过定点?若过定点求出定点,若不过定点说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fcb73920188f0215bd21a0148eeebed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e2fc39db609b1b8d26de387dccb08a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ad0a87392245e4bf5bafe26089803b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d1e99a13822b33ae59f371d0e1415a.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
2021-08-05更新
|
503次组卷
|
3卷引用:河南省许昌市2020-2021学年高二下学期期末数学(文)试题
河南省许昌市2020-2021学年高二下学期期末数学(文)试题(已下线)专题07 《圆锥曲线与方程》中的解答题压轴题(1)-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) 江西省丰城市第九中学2022届高三(日新部)上学期第一次月考数学(文)试题
解题方法
8 . 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)
名校
解题方法
9 . 已知椭圆
的离心率
,过右焦点
且与
轴垂直的直线被椭圆
截得的线段长为
.
![](https://img.xkw.com/dksih/QBM/2021/4/19/2703291742339072/2772818341650432/STEM/102a214a-c0fe-48dd-8fba-18af1ce922cb.png)
(1)求椭圆
的方程;
(2)设
为椭圆
的左顶点,
是椭圆
上的不同两点(与
不重合),直线
的斜率分别为
,且
,证明直线
过一个定点,并求出这个定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004d3c8fff0581f4651ce992ef080de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ae4e9ab5cae22a3d2fb744d6a97c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb4c79d43649223663ba1806fdea942.png)
![](https://img.xkw.com/dksih/QBM/2021/4/19/2703291742339072/2772818341650432/STEM/102a214a-c0fe-48dd-8fba-18af1ce922cb.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ff36a6440b8a23cacc61713e538cecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2021-07-26更新
|
648次组卷
|
5卷引用:河南省开封市五县2021-2022学年高二上学期期中联考数学(文)试题
河南省开封市五县2021-2022学年高二上学期期中联考数学(文)试题河南省开封市五县2021-2022学年高二上学期期中联考数学(文)试题浙江省宁波市北仑中学2020-2021学年高一(1班)下学期期中数学试题(已下线)3.1椭圆(专题强化卷)-2021-2022学年高二数学课堂精选(人教A版2019选择性必修第一册)四川省成都市石室中学2022-2023学年高二上学期第二次质量检测数学理科试题
解题方法
10 . 已知椭圆C的右焦点为
,点A为椭圆C的上顶点,过点F与x轴垂直的直线与椭圆C相交于P,Q两点,且
.
(Ⅰ)求椭圆C的标准方程;
(Ⅱ)若直线l的倾斜角为
,且与椭圆C交于M,N两点,问是否存在这样的直线l使得
?若存在,求l的方程;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dabc903151d7161c17e33706daf1871.png)
(Ⅰ)求椭圆C的标准方程;
(Ⅱ)若直线l的倾斜角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0168db361b7f0f08243088aed2613425.png)
您最近一年使用:0次
2021-07-23更新
|
356次组卷
|
5卷引用:河南省名校联盟2020-2021学年高二下学期期末考试数学(文科)试题
河南省名校联盟2020-2021学年高二下学期期末考试数学(文科)试题(已下线)专题17 圆锥曲线常考题型05——圆锥曲线中的存在性问题与面积问题-【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)(已下线)第三章 圆锥曲线与方程单元测试-2021-2022学年高二数学同步精品课堂讲+例+测(苏教版2019选择性必修第一册)浙江省金华市义乌市商城学校2021-2022学年高二上学期12月月考数学试题(已下线)第3章 圆锥曲线的方程【单元提升卷】-2022-2023学年高二数学考试满分全攻略(人教A版2019选修第一册)