1 . 已知抛物线
:
的焦点为
,
为坐标原点,动点
在
上,若定点
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/1dde8112e8eb968fd042418dd632759e.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/14d977e5d0854905f7bbe2a74c9b2e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ae732db30c5aa3d184af31b544902f.png)
A.![]() ![]() | B.![]() |
C.四边形![]() | D.![]() ![]() |
您最近一年使用:0次
7日内更新
|
76次组卷
|
2卷引用:海南省儋州市2022-2023学年高二上学期期末考试数学试题
2 . 如图,已知正方体
的棱长为2,E,F分别是棱
的中点,点P为底面ABCD内(包括边界)的动点,则以下叙述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a438de4d260b84dfde7d0fd492b9c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/654b30f6-ad64-4531-bc60-9297ac712f5a.png?resizew=141)
A.存在点P,使得![]() ![]() |
B.若点P在线段CD上运动,则点P到直线BF的最近距离为![]() |
C.若点P到直线![]() |
D.若直线![]() ![]() |
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解题方法
3 . 设点,抛物线
上的点P到y轴的距离为d.若
的最小值为1,则
( )
A.6 | B.4 | C.3 | D.2 |
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4 . 过抛物线
的焦点
作直线
与抛物线交于
两点,且
,则下列说法正确的是( )
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8269049ffbda5333600284ee5a12f674.png)
A.直线![]() |
B.直线![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.直线![]() ![]() ![]() |
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解题方法
5 . 已知抛物线C:
与圆O:
交于A,B两点,且
,直线
过C的焦点F,且与C交于M,N两点,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d35465f3e40ce00a1dce54b943ae183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dfc9d1109fe41145cc892b5702d9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.若直线![]() ![]() ![]() |
B.![]() ![]() |
C.若以MF为直径的圆与y轴的公共点为![]() ![]() |
D.若点![]() ![]() ![]() |
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6 . 已知抛物线
的焦点为
,点
是曲线
上一点.
(1)若
,求点
的坐标;
(2)若直线
与抛物线
交于
两点,且以
为直径的圆过点
,求
.
![](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/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c099353b1912dc6e42aae33241af2c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d00a5df9d281dd4e1e45bf6a4d6fb27.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c153027427477bcd0a7228b14ce96cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
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7 . 动圆
经过定点
,且与
轴相切,则圆心
的轨迹为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908c9588178c02002157ad54eb440a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.圆 | B.椭圆 |
C.双曲线 | D.抛物线 |
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解题方法
8 . 已知抛物线
的焦点为
,点
在抛物线上,
垂直
轴于点
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6134e449feaaf1f322e98509eab12c2f.png)
______ .
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ccbe924f01cb741fb316ea0673a4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6134e449feaaf1f322e98509eab12c2f.png)
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9 . 倾斜角为
的直线
经过抛物线
的焦点
,与抛物线相交于
两点,其中点A位于第一象限,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07cf46a6945121bec2611768c9ee82c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 设抛物线
上一点
到
轴的距离为
,到直线
的距离为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5545195ade2bda359e683715332e83.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/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eccb81d955b508a75d1c76a754814000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a4b32d388558eb9a9e4f0f2dd57c09.png)
A.3 | B.2 | C.![]() | D.5 |
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2024-03-07更新
|
214次组卷
|
2卷引用:山东省青岛市莱西市2023-2024学年高二上学期学业水平阶段性检测二数学试题