20-21高一·浙江·期末
解题方法
1 . 下列图形中,可能是方程
和
(
且
)图形的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e8436e7c3b61bf44305c95151341fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296f6b73bcb1ea61bff5367a9a918613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2021-11-16更新
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635次组卷
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7卷引用:【新东方】高中数学20210304-008
(已下线)【新东方】高中数学20210304-008(已下线)3.3 抛物线-2021-2022学年高二数学同步教与学全指导(学习导航+教学过程+课时训练)(人教A版2019选择性必修第一册)(已下线)3.3.2抛物线的几何性质(备作业)-【上好课】2021-2022学年高二数学同步备课系列(苏教版2019选择性必修第一册)2023版 湘教版(2019) 选修第一册 过关斩将 第3章 3.3.2 抛物线的简单几何性质沪教版(2020) 25天高考冲刺 双新双基百分百17(已下线)第20讲 抛物线定义及性质(1)(已下线)3.3.2 抛物线的简单几何性质(6大题型)精练-【题型分类归纳】2023-2024学年高二数学同步讲与练(人教A版2019选择性必修第一册)
名校
解题方法
2 . 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)
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2021-07-26更新
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5卷引用: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
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(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)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
20-21高一·浙江·期末
3 . 已知椭圆
的离心率为
,且过点
.
(1)求C的方程;
(2)点M,N在C上,且
,D为垂足,问是否存在定点Q,使得
为定值,若存在,求出Q点,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea1f5bdd213c7c3a571b4c38850bf1.png)
(1)求C的方程;
(2)点M,N在C上,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368e8fe7aa6d3da98046a80626a70ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4110cc2b5dc3aabd585a8e9a81855a12.png)
您最近一年使用:0次
名校
4 . 已知圆
和
,动圆M与圆
内切,与圆
外切,P是
的内心,且
,则a的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce38984e34f108b0e602dc5193f7726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66678576cdb93236aa2e373e2ea6984f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d6c0b1e09f546c5ce77316daa8050f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54175dd25f813beb571846299a5a2326.png)
A.9 | B.11 | C.17 | D.19 |
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2021-02-05更新
|
696次组卷
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6卷引用:【新东方】绍兴高中数学00037
(已下线)【新东方】绍兴高中数学00037浙江省绍兴市上虞区2020-2021学年高三上学期期末数学试题(已下线)押第11题 椭圆-备战2021年高考数学(文)临考题号押题(全国卷1)江苏省扬州中学2021-2022学年高二上学期10月月考数学试题四川省资阳市安岳县安岳中学2020-2021学年下学期高二数学(理)开学考试试卷(试点班)(已下线)考点24 直线与圆、圆与圆的位置关系-备战2022年高考数学(文)一轮复习考点微专题
5 . 在平面直角坐标系
中,已知椭圆
的四个顶点围成的四边形的面积为
,椭圆的左焦点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45349f54f6abc8d331556557255f024.png)
![](https://img.xkw.com/dksih/QBM/2021/2/3/2650310066290688/2651388766789632/STEM/57d1f4d7646349e9b8f520c315651e03.png?resizew=185)
(1)求椭圆的方程;
(2)
,是否存在斜率为
的直线l与椭圆相交于两点M,N,且
,若存在,求出直线l的方程,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45349f54f6abc8d331556557255f024.png)
![](https://img.xkw.com/dksih/QBM/2021/2/3/2650310066290688/2651388766789632/STEM/57d1f4d7646349e9b8f520c315651e03.png?resizew=185)
(1)求椭圆的方程;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9cb4b48bdfbb1aa677e5d8dcc7ad8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b485b62d004d52fb31d6ed99ccb7669.png)
您最近一年使用:0次
解题方法
6 . 已知中心在坐标原点的椭圆
,其焦点分别为
,
,点
为椭圆
上一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/0f936e33-5b93-41ab-a22e-3653e26b0f09.png?resizew=293)
(1)求椭圆
的方程;
(2)过点
的直线
与
轴交于点
,由点
引另一直线
交椭圆
于
两点.是否存在实数
,使得直线
的斜率成等差数列,若存在,求出
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5a48dc4fb6fbf6c52a6f9135d79789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1c8da4cfcc05493a287649fb315dcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae5f338592cba8b73f54a665069908c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/0f936e33-5b93-41ab-a22e-3653e26b0f09.png?resizew=293)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422ba81907db51f77294ccd9550c6d27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13e69e8905b0997e0c73c344683c036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13e69e8905b0997e0c73c344683c036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62c7c5232af6f5b52e150c86bb1993c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa93c625dc77a335cb9c5d972c454c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
7 . 如图,在棱长为1的正方体
中,点M是底面正方形
的中心,点P是底面
所在平面内的一个动点,且满足
,则动点P的轨迹为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3f7303b1-8451-446c-b1b9-27ff07641d96.png?resizew=180)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2877e19f77b5ade8bf1e80713c9ee34b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3f7303b1-8451-446c-b1b9-27ff07641d96.png?resizew=180)
A.圆 | B.抛物线 | C.双曲线 | D.椭圆 |
您最近一年使用:0次
2021-01-31更新
|
834次组卷
|
6卷引用:【新东方】高中数学20210304-023
(已下线)【新东方】高中数学20210304-023(已下线)【新东方】绍兴高中数学00027浙江省宁波市九校2020-2021学年高二上学期期末联考数学试题浙江省湖州市德清县第三中学2020-2021学年高二下学期返校考试数学试题(已下线)专题06 椭圆性质综合归类-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)(已下线)专题7-2求曲线方程和动点轨迹归类-2
名校
解题方法
8 . 椭圆
的离心率为
,焦距为
.
(1)求椭圆
的标准方程;
(2)设
是椭圆
上的动点,过原点
作圆
的两条斜率存在的切线分别与椭圆
交于点
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1174142f3bba761585b6bc2653009b36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/599f8c29e41a6f12a56ce3832b3cc617.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/e2b513d3bd28743002358c0e0f96c8b8.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/c8a99d2c4a23825f62aadcc40822b5eb.png)
您最近一年使用:0次
2021-01-29更新
|
1074次组卷
|
5卷引用:【新东方】高中数学20210304-007
(已下线)【新东方】高中数学20210304-007浙江省杭州市七县市2020-2021学年高二上学期期末数学试题(已下线)【新东方】高中数学20210429—005【2020】【高二上】浙江省台州市路桥中学2020-2021学年高二下学期返校考数学试题(已下线)专题35 双切线问题的探究-2
9 . 已知椭圆
的离心率为
,
是椭圆上位于第三象限内的一点,点
满足
.过点
作一条斜率为
的直线
交椭圆于
,
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/965144c4-80a7-4f1f-b0e7-ab051ec58f6b.png?resizew=172)
(Ⅰ)若点
的坐标为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce2830528c2ea6b5d4df0c77644e33.png)
(i)求椭圆的方程;
(ii)求
面积;(用含
的代数式表示)
(Ⅱ)若满足
,求直线
,
的斜率之积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fec30b2ef82a91678b96e5959782592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/965144c4-80a7-4f1f-b0e7-ab051ec58f6b.png?resizew=172)
(Ⅰ)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce2830528c2ea6b5d4df0c77644e33.png)
(i)求椭圆的方程;
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(Ⅱ)若满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0be4e507c2db166c9a2f2a22105ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
您最近一年使用:0次
20-21高一·浙江·期末
解题方法
10 . 已知椭圆
,其长轴为4,短轴为2.
(1)求椭圆C的方程及离心率.
(2)直线l经过定点(1,0),且与椭圆C交于
两点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
(1)求椭圆C的方程及离心率.
(2)直线l经过定点(1,0),且与椭圆C交于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
您最近一年使用:0次