名校
1 . 已知抛物线
的焦点为
,准线为
,点
,线段
交抛物线
于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7cd5764cfac200ebfee56b6fc8df71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.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/a30262f17d1e521b48d773da22ebf452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.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/bc72c1c27a947fed0e44f8ff845c0979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7cd5764cfac200ebfee56b6fc8df71.png)
A.3 | B.4 | C.6 | D.7 |
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2017-10-26更新
|
1771次组卷
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5卷引用:安徽省淮北市第一中学2017-2018学年高二上学期期中考试数学(理)试题
名校
2 . 若点
到点
的距离比它到直线
的距离小1,则
点的轨迹方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db3b46f0bf8897318fb3d0114e56e55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d399079f45224a573c603eface611d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-01-18更新
|
601次组卷
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2卷引用:安徽省阜阳市大田中学2018-2019学年高二下学期期中数学(理)试题
名校
3 . 抛物线
,
是焦点,则
表示( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf690783c72ca0d52a3d8f767ad2174e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2019-12-24更新
|
277次组卷
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5卷引用:安徽省阜阳第一中学2019-2020学年高二上学期期中数学(理)试题
安徽省阜阳第一中学2019-2020学年高二上学期期中数学(理)试题黑龙江省哈尔滨市第三十二中学2021-2022学年高二下学期期中考试数学试题(已下线)专题3.12 抛物线的标准方程和性质-重难点题型检测-2021-2022学年高二数学举一反三系列(人教A版2019选择性必修第一册)2.3.1 抛物线及其标准方程 练习-2022-2023学年高二上学期数学北师大版(2019)选择性必修第一册(已下线)第15讲 抛物线的几何性质-【暑假自学课】2023年新高二数学暑假精品课(苏教版2019选择性必修第一册)
4 . 已知抛物线
的焦点为F,准线与y轴交于点A,点
在曲线C上,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4913b4d5d6fa722998b5ba42bdc8a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a8eee2c914cfc44125395f12a3f6f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae7df59807efb72498b8618912d38b7.png)
A.3p | B.3 | C.4p | D.4 |
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2020-04-30更新
|
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2卷引用:安徽省部分省示范中学2018-2019学年高二下学期期中数学(文)试题
名校
5 . 已知抛物线
的焦点为
是过
的直线与抛物线的两个交点,求证:
(1)
;
(2)
为定值;
(3)以
为直径的圆与抛物线的准线相切.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6862ebbba8511197ea8a3a5da773f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c5476b7d9ba908635adacb1fa46f0a4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e5109b55b3b96af00c792527c77cca.png)
(3)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2020-08-10更新
|
141次组卷
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6卷引用:安徽省定远重点中学2018-2019学年高二上学期期中考试数学(理)试题
安徽省定远重点中学2018-2019学年高二上学期期中考试数学(理)试题福建省莆田市仙游第一中学2017-2018学年高二上学期期中考试数学试题安徽省滁州市定远县育才学校2019-2020学年高二下学期4月月考数学(理)试题安徽省滁州市定远县民族中学2019-2020学年高二下学期6月月考数学(理)试题(已下线)测试卷23 抛物线(B)-2021届高考数学一轮复习(文理通用)单元过关测试卷(已下线)专题9.5 抛物线(精讲)-2021年高考数学(理)一轮复习学与练
名校
6 . 已知抛物线
的焦点为
,准线为
,点
是
上一点,点
是直线
与
的一个交点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d804d794b113cac3a26961bf8ef29f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1ba86ffc6e5542b62319848c14acaa.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf4e0a17ced4673f1639686c3c8cad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d804d794b113cac3a26961bf8ef29f6.png)
A.![]() | B.3 | C.![]() | D.6 |
您最近一年使用:0次
2017-04-28更新
|
631次组卷
|
4卷引用:安徽省铜陵市第一中学2016-2017学年高二下学期期中考试数学(理)试题
名校
解题方法
7 . 已知点
是抛物线
上的一点,设点
到此抛物线准线的距离为
,到直线
的距离为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e228fb4ccdf2209a583f6e2ce66b06ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a4b32d388558eb9a9e4f0f2dd57c09.png)
A.4 | B.![]() | C.5 | D.![]() |
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2017-12-10更新
|
1032次组卷
|
2卷引用:安徽省定远重点中学2018-2019学年高二上学期期中考试数学(理)试题
名校
8 . 已知点
是抛物线
上的动点,点
在
轴上的射影是
,点
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/84259d2179afc76cc151200248943e65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082b2edcc226c192c49d4c75416f21ce.png)
您最近一年使用:0次
2017-04-28更新
|
584次组卷
|
3卷引用:安徽省铜陵市第一中学2016-2017学年高二下学期期中考试数学(理)试题
解题方法
9 . 已知椭圆
的左右焦点分别为
,
,直线
过点
且垂直于椭圆的长轴,动直线
垂直
于点P,线段
的垂直平分线与
的交点轨迹为曲线
.
(1)求曲线
的方程;
(2)过点
的直线L交曲线
两点M,N,求
的面积范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3d50c4db080631147ed9a8c23d153d.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/172722d11ea7e01411fa06dbb82f46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbd49bf20f987c05b4d36e31549075c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172722d11ea7e01411fa06dbb82f46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbd49bf20f987c05b4d36e31549075c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b5c81ee16e93e9822c4dc54c362cb3.png)
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10 . 抛物线
的焦点为
,点
为该抛物线上的动点,点
是抛物线的准线与坐标轴的交点,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768508b1a1b05f0d3e8cd4d2464344df.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-12-12更新
|
114次组卷
|
7卷引用:安徽省定远重点中学2018-2019学年高二上学期期中考试数学(文)试题