名校
解题方法
1 . 已知椭圆
的左,右顶点分别为A,B,点A到直线
:
的距离为6,点
在椭圆C上.
(1)求椭圆C的标准方程;
(2)点P在直线
上(点P不在x轴上),直线
与椭圆C相交于另一点M,直线
与椭圆C相交于另一点N,求直线
所过定点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8da36e3081bfe5d32c9ec70be4da3da.png)
(1)求椭圆C的标准方程;
(2)点P在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
解题方法
2 . 在平面直角坐标系xOy中,椭圆C:
的离心率
,且过点
,A,B分别是C的左、右顶点.
(1)求C的方程;
(2)已知过点
的直线交C于M,N两点(异于点A,B),试证直线MA与直线NB的交点在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075ba8c6fb5ef7288cd3fed425c8e69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182c81fb1c5e6d1a57a5f34a31ee69a9.png)
(1)求C的方程;
(2)已知过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a1eb1babf5a1eb0f95f3af5c53fcd3.png)
您最近一年使用:0次
2022-03-19更新
|
1242次组卷
|
4卷引用:河北省石家庄市藁城新冀明中学2022届高三上学期12月月考数学试题
河北省石家庄市藁城新冀明中学2022届高三上学期12月月考数学试题山西省2022届高三第一次模拟数学(文科)试题山西省2022届高三一模数学(理)试题(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)
名校
解题方法
3 . 已知椭圆
的左右焦点分别为
,
,点
是椭圆上一点,
是
和
的等差中项.
(1)求椭圆的标准方程;
(2)若A为椭圆的右顶点,直线AP与y轴交于点H,过点H的另一直线与椭圆交于M、N两点,且
,求直线MN的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.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/a216c108cb54c2b3845ac7dce1ed10a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdfc6a59392d1ac3cd89ddc0308864c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ef569668e797b1e94257fd5f4384dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96fa27f8db6167d4802a510371077bb5.png)
(1)求椭圆的标准方程;
(2)若A为椭圆的右顶点,直线AP与y轴交于点H,过点H的另一直线与椭圆交于M、N两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cecff51d30a0a4b71328d7a062e83b0a.png)
您最近一年使用:0次
2022-03-18更新
|
576次组卷
|
3卷引用:河北省衡水市第二中学2021-2022学年高二下学期期中数学试题
4 . 已知
,
分别为椭圆
:
的左右焦点,点
在椭圆
上,且
轴.
(1)求椭圆
的方程;
(2)过点
的直线
与椭圆
相交于不同的两点
、
.若
、
、
成等比数列,试求满足条件的直线
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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed6b9540857e386651e191a0a5b5a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711ca77eefc53ea6784a4fdfdcf4827c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0803835d6f594a60bd16c823e3ad2cd6.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323a6498191f76dbc18998dffb8e37d5.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/259ff18e49f6f8bc76191f51996322a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1111dc945b32ea2a6119d16acc0d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ddae568e9560c80a4a7dfdc25ecd020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
5 . 已知椭圆
经过点
,离心率为
.
![](https://img.xkw.com/dksih/QBM/2022/3/9/2932583987544064/2933819910807552/STEM/f925dd79-e75a-44e1-9bf5-ff179c7bfd20.png?resizew=184)
(1)求椭圆C的方程;
(2)如图,椭圆C的左、右顶点为
,
,不与坐标轴垂直且不过原点的直线l与C交于M,N两点(异于
,
),点M关于原点O的对称点为点P,直线
与直线
交于点Q,直线
与直线l交于点R.证明:点R在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7e3739bbfda13bc1da8c731adf7bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/2022/3/9/2932583987544064/2933819910807552/STEM/f925dd79-e75a-44e1-9bf5-ff179c7bfd20.png?resizew=184)
(1)求椭圆C的方程;
(2)如图,椭圆C的左、右顶点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b06b75fb4e379ff3b99e68f40136cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
您最近一年使用:0次
2022-03-11更新
|
911次组卷
|
3卷引用:河北省唐山市2022届高三下学期第一次模拟数学试题
河北省唐山市2022届高三下学期第一次模拟数学试题陕西省西北工业大学附属中学2022届高三下学期第十一次适应性训练理科数学试题(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)
6 . 已知椭圆
经过
四个点中的三个.
(1)求
的方程.
(2)若
为
上不同的两点,
为坐标原点,且
与
垂直,试问
上是否存在点
(异于点
),使得
?若存在,求点
的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fa00a223fcf522c8afab3ce0b3189f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c8295e81bb295d0734f5eb60bdcd66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54aeba1e9e6202bc2ebf023f51046c66.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
7 . 已知椭圆
的离心率为
,且点
在C上.
(1)求椭圆C的标准方程;
(2)设
,
为椭圆C的左,右焦点,过右焦点
的直线l交椭圆C于A,B两点,若
内切圆的半径为
,求直线l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/bfc2210a7e09298897f6585ad08a70d3.png)
(1)求椭圆C的标准方程;
(2)设
![](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/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c07ebcbfacda073208d483c58e8a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802e162b98c280720fcb909cf392fda3.png)
您最近一年使用:0次
2021-12-07更新
|
1499次组卷
|
6卷引用:河北省石家庄市2022届高三上学期毕业班教学质量检测(一)数学试题
河北省石家庄市2022届高三上学期毕业班教学质量检测(一)数学试题河北省衡水市冀州区第一中学2021-2022学年高二上学期期末数学试题(已下线)热点09 解析几何-2022年高考数学【热点·重点·难点】专练(新高考专用)(已下线)押全国卷(理科)第20题 圆锥曲线-备战2022年高考数学(理)临考题号押题(全国卷)江苏省南京师范大学附属中学2022-2023学年高三上学期期初阶段考试数学试题四川省成都市实验外国语学校五龙山校区2023-2024学年高二上学期第二次阶段性考试数学试题
名校
解题方法
8 . 已知椭圆
:
的左、右焦点分别为
,
,离心率为
,且
过点
.
(1)求椭圆
的标准方程;
(2)若过点
的直线
与椭圆
相交于
,
两点,求
的最大值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.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/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3560b239bca664c50848502cc878b.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若过点
![](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/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/0eedc3420cb964301090179a29b1a958.png)
您最近一年使用:0次
2021-12-29更新
|
1191次组卷
|
2卷引用:河北省部分学校2021-2022学年高二上学期第三次月考数学试题
9 . 已知椭圆
的左、右焦点分别为
和
,且
,
,
,
四点中恰有三点在椭圆C上.
(1)求椭圆C的标准方程;
(2)点P是椭圆C上位于x轴上方的动点,直线
和
与直线
分别交于G和H两点,设直线
和
的斜率分别为
和
,若线段GH的长度小于
,求
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/60f84a812e21a7fe3e8b4c5c20aaf9b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd71213eb35566d33fe9f4a640193aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c1ad7d877e13a297116858b5bb01245.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34aae66bf2007487a277929a52baa05a.png)
(1)求椭圆C的标准方程;
(2)点P是椭圆C上位于x轴上方的动点,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da01a3abe1c9dc4e6283afa0dc1a0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83e02c09428538ce8ae136cff26d3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de72a5190834f5dbe895596656c038b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da01a3abe1c9dc4e6283afa0dc1a0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83e02c09428538ce8ae136cff26d3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbda5be680a2c8bfa775e2a87f192e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
您最近一年使用:0次
2021-12-24更新
|
378次组卷
|
6卷引用:河北省保定市部分学校2021-2022学年高二上学期第三次月考数学试题
河北省保定市部分学校2021-2022学年高二上学期第三次月考数学试题贵州省名校联盟2022届高三12月联考数学(文)试题贵州省名校联盟2022届高三12月联考数学(理)试题贵州省遵义市2022届高三上学期第三次联考数学试题(已下线)专题10.6—圆锥曲线—椭圆大题(取值范围问题)—2022届高三数学一轮复习精讲精练【押题金卷】2022年普通高等学校招生全国统一考试理科数学试卷(A卷)
名校
解题方法
10 . 已知椭圆
:
,圆
:
的圆心
在椭圆C上,点
到椭圆
的右焦点的距离为2,过点P作直线
交椭圆于A,B两点.
![](https://img.xkw.com/dksih/QBM/2021/11/13/2850304005734400/2869334767681536/STEM/6ea81c2b-7d2c-44bc-b126-243640f1d90c.png?resizew=264)
(1)求椭圆C的方程;
(2)若
,
,求直线
斜率k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9fef6303da730c2ced7f3fbd5e2103d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/586ec4bbaf9bd56c51d67e5da4333aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13281f913e80fcec0935c89e97a1813e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/2021/11/13/2850304005734400/2869334767681536/STEM/6ea81c2b-7d2c-44bc-b126-243640f1d90c.png?resizew=264)
(1)求椭圆C的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1417cdb4f08c789cc7f639c2ba7414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d4620aa93b2d9a67599fa58d882472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2021-12-10更新
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309次组卷
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2卷引用:河北省沧州市任丘市第一中学2021-2022学年高二上学期第三次阶段考数学试题