名校
解题方法
1 . 已知为抛物线
的顶点,直线
交抛物线于
两点,过点
分别向准线
作垂线,垂足分别为
,则下列说法正确的是( )
A.若直线![]() ![]() ![]() ![]() |
B.若直线![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
2024-01-30更新
|
208次组卷
|
2卷引用:2023新东方高二上期末考数学01
解题方法
2 . 设抛物线
的焦点为
,准线为
,过抛物线上一点
作
的垂线,垂足为
,若
,
,
与
相交于点
,且
,则
的面积为______ .
![](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/0f85fca60a11e1af2bf50138d0e3fe62.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/a7908e8e2ca67ad0f739860222423950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8350efd6636002f417d721fc87a126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dca049735b45fb9b2533c68605eddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42053c486a65cc44cabd969d58d71c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0393a24432ff05925c9947d90ff891.png)
您最近一年使用:0次
解题方法
3 . 如图,在四棱锥
中,
,
,
,
,
,平面
平面
,点
在棱
上且
,点
是
所在平面内的动点,点
是
所在平面内的动点,且点
到直线
的距离与到点
的距离相等,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/633bf2de732ae51fc06ef3d559915da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d9ef979b9f27a28cbda6923e888ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a15e9285ea086558910c16a5127ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f409b28f7cb97726646e79709ad25190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/22/392df206-a26e-4dd8-92e6-856a7d80b2e0.png?resizew=215)
A.![]() ![]() |
B.若二面角![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
4 . 已知抛物线
,点
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74bc64a84fffca0bbc246bea0970d8e.png)
,过点
的直线与抛物线
交于
,
两点,AP,AQ分别交抛物线
于
,N两点,
为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74bc64a84fffca0bbc246bea0970d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d60e12f831245f52296bea1126ba53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.焦点坐标为![]() | B.向量![]() ![]() |
C.直线MN的斜率为![]() | D.若直线PQ过焦点![]() ![]() |
您最近一年使用:0次
5 . 已知
是抛物线
:
的焦点,点
在
上且
,则
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c8db81f577fc60b130924c3f5e3c27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b333ae64eb8e235779e9fdaa24e6247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-06-16更新
|
916次组卷
|
5卷引用:浙江省嘉兴市2022-2023学年高二上学期期末数学试题
浙江省嘉兴市2022-2023学年高二上学期期末数学试题(已下线)第23讲 抛物线及其标准方程5种常见考法归类-【暑假自学课】2023年新高二数学暑假精品课(人教A版2019选择性必修第一册)(已下线)3.3 抛物线(精讲)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)江苏省扬州市邗江区2023-2024学年高二上学期期中调研考试数学试题(已下线)考点巩固卷22 抛物线方程及其性质(十大考点)
名校
6 . 下列结论正确的是( )
A.若动点![]() ![]() ![]() |
B.若动点![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.已知![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-03-23更新
|
570次组卷
|
2卷引用:浙江省杭州市长河高级中学2022-2023学年高二上学期期末数学试题
名校
7 . 求下列曲线方程.
(1)已知抛物线
,求准线l方程.
(2)已知双曲线
的焦距为6,渐近线方程为
,求双曲线C的方程.
(1)已知抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88eec86c17ca9025e2a6c7db421f5c37.png)
(2)已知双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25869dd14f3e7412beda491bb83f982d.png)
您最近一年使用:0次
名校
解题方法
8 . 已知抛物线
的顶点在原点,焦点在直线
上.
(1)求抛物线
的标准方程;
(2)过点
的直线m与焦点在x轴上的抛物线
交于A,B两点,若原点O在以线段AB为直径的圆外,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8605688eecca0f1f8d916657929bae.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8293156150e4eb50a1bdd71090917dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
9 . 抛物线
的焦点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6141624706a77263331996127697161a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-03-22更新
|
566次组卷
|
2卷引用:浙江省杭州高级中学贡院校区2022-2023学年高二上学期期末数学试题
解题方法
10 . 已知抛物线
,其焦点为
是过点
的一条弦,定点
的坐标是
,当
取最小值时,则弦
的长是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886701fb25700bfd305f03d30ad0c28d.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/b12f5329716234ea36d40f9058f8270a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508734095955bb96d52f37be4e681700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次