1 . 抛物线的光学性质是:位于抛物线焦点处的点光源发出的每一束光经抛物线反射后的反射线都与抛物线的对称轴平行或重合.已知抛物线:
的焦点为F,过x轴上F右侧一点的直线交
于A,B两点,C在A,B处的切线交于点P,直线
,
交y轴分别于点D,E,则( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 已知抛物线
的焦点为F,准线l与y轴的交点为D,过点F的直线m与抛物线C交于A,B两点,点O为坐标原点,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
A.存在点A,B,使![]() | B.![]() |
C.![]() ![]() | D.若点![]() ![]() ![]() |
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2022-06-06更新
|
1199次组卷
|
3卷引用:湖北省鄂州市2021-2022学年高二下学期期末数学试题
湖北省鄂州市2021-2022学年高二下学期期末数学试题吉林省松原市重点高中2021-2022学年高二下学期3月月考数学试题(已下线)专题21 抛物线的焦点弦 微点2 抛物线的焦点弦常用结论及其应用综合训练
3 . 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.![]() ![]() |
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解题方法
4 . 下面四个关于圆锥曲线的命题中,其中真命题为( )
A.设![]() ![]() ![]() ![]() ![]() |
B.双曲线![]() ![]() |
C.方程![]() |
D.已知抛物线![]() |
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5 . 如图,抛物线y2=2px(p>0)的焦点为F,过点F的直线交抛物线于A,B两点,过点A,B分别作抛物线准线的垂线,垂足分别为P,Q,则下列说法中正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/6f343e33-5c11-4f51-990d-6d2e3155b953.png?resizew=184)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/6f343e33-5c11-4f51-990d-6d2e3155b953.png?resizew=184)
A.若AB⊥x轴,则|AB|=2p |
B.若点A(x1,y1),B(x2,y2),则y1y2为定值p2 |
C.![]() |
D.以线段AF为直径的圆与y轴相切 |
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2022-11-08更新
|
652次组卷
|
5卷引用:湖北省黄冈市2021~2022学年高二上学期期末数学试题
6 . 直线
过抛物线C:
(
)的焦点F,且与C交于A,B两点,
为C的准线,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92020e8ae02f1b51d5c8d84e12bffa49.png)
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.准线![]() ![]() |
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2024-01-26更新
|
221次组卷
|
2卷引用:湖北省部分学校2023-2024学年高二上学期期末数学试题
名校
解题方法
7 . 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.![]() ![]() |
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2024-03-13更新
|
108次组卷
|
3卷引用:湖北省襄阳市第四中学2024届高三下学期高考最后一次数学测试题
名校
解题方法
8 . 抛物线
的焦点为
,
为其上一动点,当
运动到
时,
,直线
与抛物线相交于
两点,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97afdeaa1d4433cffe5005446fcbbbb.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/ff99e84fd3a463e02b22c20b1031f6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a9e11c03add38d20e4dd5574fe969e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
A.抛物线的方程为:![]() |
B.抛物线的准线方程为:![]() |
C.当直线![]() ![]() ![]() |
D.![]() |
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