解题方法
1 . 已知抛物线
:
(
)的焦点为
,过焦点
作直线
交抛物线
于
两点,
为抛物线
上的动点,且
的最小值为1.
(1)抛物线
的方程;
(2)若直线
交抛物线
的准线于点
,求线段
的中点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f20bf927d76ca5c9679922cc89f489.png)
(1)抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若直线
![](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/f9446ea29ddb6650a5a0cf7ac6f17d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2 . 已知点
在抛物线
上,则抛物线C的准线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578575e9c086c6db9dce4f145868b050.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 已知抛物线
上的点
到其准线的距离为4,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f03bec8dd2b60881f4f324e737851d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae32e402bd0fc55f2e50fda589ef430e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.6 | B.![]() | C.8 | D.![]() |
您最近一年使用:0次
名校
4 . 抛物线
的焦点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8966f1f4adba9408ae5b7b4ff5cf44b6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 已知椭圆
的离心率为
,则抛物线
的焦点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b011f54b20188ab9ae88d75826aabd9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf210c8c9e83e70f2d3ede1e18a5f3d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-18更新
|
2359次组卷
|
4卷引用:贵州省贵阳市清华中学2024届高三下学期5月高考临考预测数学试题
名校
6 . 已知抛物线
的准线平分圆
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3532473d1dfc7ef653befae5a4e09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ecf7a6913d90c2df051d608011cc57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
A.2 | B.4 | C.6 | D.8 |
您最近一年使用:0次
2024-04-16更新
|
488次组卷
|
2卷引用:贵州省遵义市第四中学2024届高三下学期一模数学试题
名校
解题方法
7 . 设抛物线
的焦点为
,点
为该抛物线上任意一点,若
恒成立,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae230f36b56a831b03ffb2cde1b27cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 抛物线
的准线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0f8caa3b8714a4f402f20cd9cc9861.png)
您最近一年使用:0次
9 . 抛物线
的焦点为F,准线为l,则点F到l的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
A.1 | B.2 | C.![]() | D.4 |
您最近一年使用:0次
解题方法
10 . 已知抛物线
的焦点为
,过点
的直线
交抛物线于
两点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.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/7789a500686c7a73770404ead6af0590.png)
A.抛物线的焦点坐标是![]() |
B.焦点到准线的距离是4 |
C.若点![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次