1 . 已知抛物线
的焦点为
,过抛物线
上一点
作两条斜率之和为0的直线,与
的另外两个交点分别为
(均在
点下方),则下列说法正确的是( )
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f54dd475ff1321041c80738b201c3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.![]() ![]() |
B.若圆![]() ![]() ![]() ![]() ![]() |
C.直线![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2 . 直线
经过抛物线
的焦点,且与抛物线
相交于
两点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c40baffcb91c4d6a69f86a6b6bc5672.png)
A.![]() ![]() |
B.直线![]() ![]() |
C.![]() |
D.以![]() ![]() |
您最近一年使用:0次
2024-05-08更新
|
508次组卷
|
4卷引用:湖南省长沙市周南中学2023-2024学年高二上学期期末考试数学试题
湖南省长沙市周南中学2023-2024学年高二上学期期末考试数学试题广东省惠州市惠阳区丰湖高级中学2023-2024学年高二下学期5月月考数学试卷云南省昆明市第八中学2023-2024学年高二下学期月考二数学试卷(已下线)2024年新课标全国Ⅱ卷数学真题变式题6-10
2024·全国·模拟预测
名校
解题方法
3 . 已知
为坐标原点,抛物线
的焦点为
,经过点
且斜率为
的直线
与抛物线
交于
两点(点
在第一象限),若
,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.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/a7ffe8515ff6183c1c7775dc6f94bdb8.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ed9b2d4c4fe575e806daf5000efb83.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
4 . 如图,已知椭圆:
,过抛物线
:
的焦点F的直线交抛物线于M,N两点,连接NO,MO并延长分别交
于A、B两点,连接AB,
与
的面积分别记为
、
,则在下列结论中正确的为( )
A.若记直线NO,MO的斜率分别为![]() ![]() ![]() |
B.![]() ![]() |
C.设 ![]() ![]() |
D.![]() |
您最近一年使用:0次
5 . 如图,已知直线
与抛物线
交于
两点,且
交
于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd436ca3680ce9f9cba4b052ccdd9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.若点![]() ![]() ![]() |
B.直线![]() ![]() |
C.点![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2024-03-22更新
|
287次组卷
|
2卷引用:广东省茂名市五校联盟2023-2024学年高二下学期3月联考数学试题
6 . 已知抛物线
的焦点为
,直线
交抛物线于
,
两点,以线段
为直径的圆交
轴于
,
两点,交准线
于
点,则下面结论正确的是:( )
![](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/5c1dc3b2ca5b5e71f6f7acab671c8dc9.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.以![]() ![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
解题方法
7 . 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![]() ![]() ![]() |
您最近一年使用:0次
8 . 抛物线
的焦点为
,经过点F且倾斜角为
的直线l与抛物线C交于A,B两点,分别过点A、点B作抛物线C的切线,两切线相交于点E,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5421a28dc3675ae20190d6090793246e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.当![]() ![]() |
B.![]() |
C.点E在一条定直线上 |
D.设直线![]() ![]() ![]() |
您最近一年使用:0次
2024-03-14更新
|
565次组卷
|
3卷引用:云南省下关第一中学2023-2024学年高二下学期5月期中数学试题
名校
解题方法
9 . 如图抛物线
的顶点为
,焦点为
,准线为
,焦准距为
;抛物线
的顶点为
,焦点也为
,准线为
,焦准距为
.
和
交于
、
两点,分别过
、
作直线与两准线垂直,垂足分别为
,过
的直线与封闭曲线
交于
、
两点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e70f280d062923a39c0c881aad5d429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3113c748ec660388c3ae764f40a309f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e70f280d062923a39c0c881aad5d429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3113c748ec660388c3ae764f40a309f.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b553e73d33069e54eb7fa0b62ce60421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d4ab45e8e8f0084d8d90a4c1233d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.四边形![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2024-03-13更新
|
125次组卷
|
3卷引用:四川省雅安市天立教育集团2023-2024学年高二下学期开学考试数学试题
名校
解题方法
10 . 已知抛物线
的焦点
到准线
的距离为2,则下列说法正确的是( )
![](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)
A.过点![]() ![]() |
B.若![]() ![]() ![]() |
C.直线![]() ![]() |
D.抛物线![]() ![]() ![]() ![]() |
您最近一年使用:0次