抛物线C:
的焦点为F,准线l交x轴于点Q(-2,0),过焦点的直线m与抛物线C交于A,B两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
A.p=2 |
B.![]() |
C.直线AQ与BQ的斜率之和为0 |
D.准线l上存在点M,若△MAB为等边三角形,可得直线AB的斜率为![]() |
21-22高三上·湖南·开学考试 查看更多[5]
湖南省天壹名校联盟2021-2022学年高三上学期入学摸底考试数学试题湖南省娄底市双峰县第一中学2021-2022学年高三上学期入学摸底考试数学试题(已下线)3.3.2抛物线的简单几何性质(备作业)-【上好课】2021-2022学年高二数学同步备课系列(人教A版2019选择性必修第一册)(已下线)收官卷03--备战2022年高考数学一轮复习收官卷(新高考地区专用)(已下线)专题16 圆锥曲线焦点弦 微点5 圆锥曲线焦点弦问题综合训练
更新时间:2021-09-06 12:48:09
|
相似题推荐
多选题
|
较难
(0.4)
解题方法
【推荐1】已知抛物线
:
的焦点为
,坐标原点为
,直线
与抛物线
交于A,
两点(与
均不重合),以线段
为直径的圆过原点
,则
与
的面积之和可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21be4ca5919e23d17c902a3b09b0f0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055a2ef09e2ee0948cf67c58de58732d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01b9de38c02e28c475bf639727b59e6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
【推荐2】已知直线经过抛物线
的焦点
,且与
交于
、
两点(其中
),与
的准线交于点
,若
,则下列结论正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c104b0d816b2f9a0a6a3fe5b6ae45858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/ed50b587442312d10eaad5b163ad27ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ed9d97b8745ed1c15349ea3fffc299.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
【推荐1】已知抛物线
:
的焦点
与椭圆
的右焦点重合,过
的直线交
于
、
两点,过点
且垂直于弦
的直线交抛物线的准线于点
,则下列结论正确的是( )
![](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/4fdd1989149897babe496145a3812e49.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/5963abe8f421bd99a2aaa94831a951e9.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() |
B.![]() |
C.![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
多选题
|
较难
(0.4)
【推荐2】已知抛物线与双曲线共焦点
,
,双曲线离心率为
,直线
过点
,且与抛物线交于
,
两点,交双曲线于
,
两点,(
,
均在第一象限),则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24550b13dbecf7d86c7054250e987274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.若直线![]() ![]() |
B.若直线![]() ![]() ![]() |
C.当直线斜率为1时,![]() |
D.当直线斜率为1时,![]() |
您最近一年使用:0次
多选题
|
较难
(0.4)
名校
解题方法
【推荐1】已知抛物线
和
的焦点分别为
,动直线
与
交于
两点,与
交于
两点,其中
,且当
过点
时,
,则下列说法中正确的是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd002e4153239401cbe0d56ab1164b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677e43bb9b3ff712aeea6a52cea9e25f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f98254a6193566587a70c7d95fdabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1459402f901edc7c3bd6993b15be2805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf328ef13181498b339a6c9b9af0eb0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910215944e29fcfe2d439b7191192cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6179bd1936944d2977cab330e0e351ca.png)
A.![]() ![]() | B.已知点![]() ![]() ![]() |
C.![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
多选题
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较难
(0.4)
【推荐2】抛物线有如下光学性质:由其焦点射出的光线经抛物线反射后,沿平行于抛物线对称轴的方向射出;反之,平行于抛物线对称轴的入射光线经抛物线反射后必过抛物线的焦点.如图,已知抛物线
的准线为
为坐标原点,在
轴上方有两束平行于
轴的入射光线
和
,分别经
上的点
和点
反射后,再经
上相应的点
和点
反射,最后沿直线
和
射出,且
与
之间的距离等于
与
之间的距离.则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0067a53a25ff59f5a2c867b5e48866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0143ee2b29130c92dddb32dc1eb364b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c663466d641b5fdfef1e529d6c330ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166afeb61d5a80366a8ae29c912cd644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0047f659c182291c84c224df6b5e993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
A.若直线![]() ![]() ![]() ![]() |
B.若直线![]() ![]() ![]() ![]() ![]() |
C.![]() |
D.若直线![]() ![]() ![]() |
您最近一年使用:0次