名校
解题方法
1 . 已知拋物线
,其焦点
到准线的距离为2,过焦点
且斜率大于0的直线
交拋物线于
两点,以
为直径的圆
与准线相切于点
,则圆
的标准方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f80080fac68745fe783b879cccb6140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c542b0541b408b6137dc31e54b902c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 过抛物线C:
上的一点
作两条直线
,
,分别交抛物线C于A,B两点,F为焦点( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8c4afeb6cf6e4eac6c1044ecb12a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
A.抛物线的准线方程为![]() |
B.过点![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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2024-06-11更新
|
330次组卷
|
2卷引用:黑龙江省佳木斯市第一中学2023-2024学年高三第三次模拟考试数学试题
名校
3 . 已知抛物线
,则
的准线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51a8ea39bb8464e937cb5c3530e2d4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知椭圆
的离心率为
,椭圆的右焦点
与抛物线
的焦点重合.
(1)求椭圆
的方程;
(2)设直线
与椭圆
交于
两点,与抛物线
交于
两点,若
为定值,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4fb72e39d79b7a0cd892fa5fa34bb7.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/9733c7408e2c9ace28486fa2fbb640b6.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40297ee651c3f2959a56a6cb751c68fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8630ade724bce35fefd437957a88476.png)
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名校
5 . 已知抛物线
的焦点与双曲线
的一个焦点重合,则该双曲线的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fdedd1db38755989cd462c151f5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014cd7a5ab3fedff278dd3d49e4b6001.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 抛物线
的焦点
到准线的距离为
,过抛物线的焦点作两条互相垂直的直线,与抛物线
分别交于点
,
和点
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.抛物线![]() ![]() |
B.过抛物线![]() ![]() |
C.若弦![]() ![]() ![]() ![]() |
D.四边形![]() ![]() |
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名校
7 . 抛物线
的准线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf291e8e25ded2aaf9f9c22d9af2631.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-04-16更新
|
746次组卷
|
3卷引用:黑龙江省大庆市实验中学实验二部2024届高三下学期得分训练数学试题(六)
名校
解题方法
8 . 已知点
在抛物线
上,抛物线
的准线与
轴交于点
,线段
的中点
也在抛物线
上,抛物线
的焦点为
,则线段
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f954a8da05cc9144d4bf86f88e236a.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
A.1 | B.2 | C.3 | D.4 |
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2024-04-07更新
|
1261次组卷
|
5卷引用:黑龙江省哈尔滨市第二十四中学校2024届高三下学期第三次模拟测试数学试题
黑龙江省哈尔滨市第二十四中学校2024届高三下学期第三次模拟测试数学试题陕西省商洛市2024届高三第四次模拟检测数学(文科)试题陕西省商洛市2024届高三第四次模拟检测数学(理科)试题(已下线)数学(新高考卷01,新题型结构)(已下线)湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题6-10
名校
解题方法
9 . 已知
是抛物线
的焦点,
是该抛物线上的两点,
,则线段
的中点到
轴的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e1bc08cc69d3d8e73b990f1236ed5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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2024-03-27更新
|
851次组卷
|
2卷引用:黑龙江省牡丹江市第二高级中学2024届高三下学期高考考前热身(二)数学试题
名校
解题方法
10 . 已知
是抛物线
的准线上任意一点,过点
作抛物线
的两条切线
,
,切点分别为
.
(1)求抛物线焦点坐标及准线方程;
(2)设直线
,
的斜率分别为
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求抛物线焦点坐标及准线方程;
(2)设直线
![](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/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
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