1 . 已知抛物线
的焦点为F,圆
与抛物线E交于A、B两点,点P为劣弧
上不同于A、B的一个动点,过点P作平行于y轴的直线l交抛物线E于点N,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84107fc934c3519b7f9c0121506801c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e68a9bae978a5c1a927ae8bb858071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
A.点P的纵坐标的取值范围是![]() |
B.圆C的圆心到抛物线准线的距离为1 |
C.![]() |
D.![]() ![]() |
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解题方法
2 . 设抛物线
的焦点为
,
为抛物线上一动点,当
运动到
时,
,下列结论正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1067e20c7cd52175556650ba6e2dfe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b333ae64eb8e235779e9fdaa24e6247.png)
A.抛物线的方程为![]() |
B.抛物线的准线方程为![]() |
C.已知点![]() ![]() |
D.以![]() ![]() |
您最近一年使用:0次
2021-01-14更新
|
319次组卷
|
3卷引用:江西省宁冈中学2024届高三上学期11月期中考试数学试题
3 . 泰戈尔说过一句话:世界上最远的距离,不是树枝无法相依,而是相互了望的星星,却没有交会的轨迹;世界上最远的距离,不是星星之间的轨迹,而是纵然轨迹交会,却在转瞬间无处寻觅.已知点
,直线
:
,若某直线上存在点
,使得点P到点
的距离比到直线
的距离小1,则称该直线为“最远距离直线”,则下列结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c9dcfd9f4c5298035870cb88a34169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.点![]() |
B.点![]() ![]() ![]() ![]() ![]() |
C.![]() |
D.![]() |
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4 . 若抛物线
上一点
到焦点的距离为m,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05fe11f020eea5cf1f8cba18e0aaeef.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知抛物线
的焦点为F,过点F倾斜角为
的直线
与抛物线C交于
两点(点A在第一象限),与抛物线的准线交于D,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2608e56b47fea008fcfb6af7667c27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.![]() | B.F为![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-12-25更新
|
237次组卷
|
2卷引用:广西北海市2022-2023学年高二下学期期中数学试题
名校
解题方法
6 . 圆锥曲线的弦与过弦端点的两条切线所围成的三角形叫做“阿基米德三角形”,如图
是抛物线
(
)的阿基米德三角形,弦
经过焦点
,(其中
点在
点上方),
,
均垂直于准线
,且
,
为垂足,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0782718dd8b2e591ef21fc89d1af2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/8455657dde27aabe6adb7b188e031c11.png)
A.以![]() ![]() |
B.![]() |
C.设点![]() ![]() ![]() |
D.若弦![]() ![]() ![]() |
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解题方法
7 . 已知抛物线
的焦点为F,O为坐标原点,点
在抛物线
上,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22962a2ad892cb6b14ab039a06e8cdc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d0431fffc934ec358a6a6abba25c01.png)
A.![]() ![]() | B.![]() | C.![]() | D.![]() |
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