名校
1 . 已知抛物线
的焦点为
,准线为直线
,横坐标为3的点
在抛物线
上,过点
作
的垂线,垂足为
,若
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.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/c5db41a1f31d6baee7c69990811edb9f.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/68cc3944993ad867ed2e74453a2737c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
解题方法
2 . 已知抛物线
,点O为坐标原点,并且经过点
,若点P到该抛物线焦点的距离为2,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df40ba57bb5819b4aaa38d514500052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5430c9960ff0507ade83bd23441fe98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e72358a12f923519a407a46c07f5d33.png)
A.![]() | B.![]() | C.4 | D.![]() |
您最近一年使用:0次
2023-03-09更新
|
1060次组卷
|
3卷引用:北京市平谷区2023届高三一模数学试题
3 . 已知抛物线
过点
,焦点为F.若点
满足
,则m的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58aab742dcee01ea15f2a74fbee0c4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361610314e9bb5580993bd17d66b629c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d798f5430aa170d00854c358baeb32d.png)
A.2 | B.![]() | C.2或![]() | D.![]() ![]() |
您最近一年使用:0次
4 . 若抛物线
(
)上一点
到抛物线的准线和对称轴的距离分别为5和3,则
的值为( )
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.1 | B.2 | C.1或9 | D.2或9 |
您最近一年使用:0次
名校
解题方法
5 .
是抛物线
上一点,
是抛物线的焦点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cda12642d59a5817e8990c43de20535.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/0dd1f7bf8f93c219c8716df185b66e1c.png)
A.![]() | B.3 | C.![]() | D.4 |
您最近一年使用:0次
2022-12-14更新
|
899次组卷
|
6卷引用:北京市中国人民大学附属中学2022-2023学年高二上学期数学期末复习试题(1)
6 . 如图,公园里的一条顶点为
的抛物线形小路依次穿过两个边长分别为
的正方形草坪,直线AE为抛物线的对称轴,
为
的中点,则
等于( )
![](https://img.xkw.com/dksih/QBM/2022/1/14/2894203289747456/2895176848687104/STEM/49c91e5c-5a5d-49eb-bc95-60b7568c2152.png?resizew=190)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d3366c8185a7eddbecaf4f242b1182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f563f31a226905e5b38ca81078a1af35.png)
![](https://img.xkw.com/dksih/QBM/2022/1/14/2894203289747456/2895176848687104/STEM/49c91e5c-5a5d-49eb-bc95-60b7568c2152.png?resizew=190)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
7 . 已知抛物线
过点
,点
为平面直角坐标系平面内一点,若线段
的垂直平分线过抛物线
的焦点
,则点
与原点
间的距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f54dd475ff1321041c80738b201c3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 我们知道∶用平行于圆锥母线的平面(不过顶点)截圆锥,则平面与圆锥侧面的交线是抛物线一部分, 如图,在底面半径和高均为2的圆锥中, AB、CD是底面圆O的两条互相垂直的直径, E是母线PB的中点,已知过CD与E的平面与圆锥侧面的交线是以E为顶点的圆锥曲线的一部分,则该圆锥曲线的焦点到其准线的距离等于( ).
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878718720335872/2887219035570176/STEM/ecbe8d89-54e8-4aec-9cbd-a2d6be969e5b.png?resizew=192)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878718720335872/2887219035570176/STEM/ecbe8d89-54e8-4aec-9cbd-a2d6be969e5b.png?resizew=192)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
2022-01-06更新
|
736次组卷
|
3卷引用:北京市石景山区2021-2022学年高二上学期期末考试数学试题
名校
9 . 已知抛物线的顶点在原点,焦点在x轴上,且抛物线上一点
到焦点距离为4,那么抛物线的方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e63ad41010cf2624ad390ca2dd0a1fd5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
10 . 抛物线
:
的焦点为
,准线是
,
是坐标原点,
在抛物线上满足
,连接
并延长交准线
与
点,若
的面积为
,则抛物线
的方程是( )
![](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/0f85fca60a11e1af2bf50138d0e3fe62.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/b6595367508aef224945bb140eae7bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2293f93791a597bf0162411f3395f.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/cf2e3b2eb83eb2fe1119e78f4e6e8eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453ea8f3a2b85526b54bf453871c3820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-12-21更新
|
1348次组卷
|
5卷引用:北京市第八中学2022高三下学期数学开学考试题
北京市第八中学2022高三下学期数学开学考试题重庆市巴蜀中学2022届高三上学期高考适应性月考(五)数学试题(已下线)专题3.1 模拟卷(1)-2022年高考数学大数据精选模拟卷(新高考地区专用)江西省南昌市江西科技学院附属中学2021-2022学年高二上学期期末数学(理)试题(已下线)专题08 抛物线的压轴题(5类题型+过关检测)-【常考压轴题】2023-2024学年高二数学上学期压轴题攻略(人教A版2019选择性必修第一册)