1 . 若抛物线
的焦点与双曲线
的右焦点重合,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5848e50805496263d52dcbde9671a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2 . 抛物线具有这样的光学性质:从抛物线的焦点出发的光线,经抛物线发射后,其发射光线平行于抛物线的对称轴;反过来,平行于抛物线对称轴的光线,经抛物线发射后,其发射光线经过抛物线的焦点.今有一个抛物镜面,其焦点到顶点
的距离为
米,其抛物镜面的轴截面图如图所示,在抛物镜面的对称轴上与抛物镜面的顶点
距离为4米处有点
,过点
有一个与抛物镜面对称轴垂直的平面
,在平面
上的某处(除点
)向抛物镜面发射了一束与抛物镜面对称平行的光线,经抛物镜面两次发射后,返回到平面
上,则光线所经过的路程有__________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec818fc0754296163206e1e8870f9e6.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2018/5/25/1953093873999872/1956618828808192/STEM/d8c3662d7037480b9519d39552e29a45.png?resizew=150)
您最近一年使用:0次
2010·湖北·一模
3 . 设抛物线
的准线与
轴交于
,焦点为
,以
为焦点,离心率为
的椭圆的两条准线之间的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a375f61e9f545011801b85d1371049a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882651b776851f3f0665de12da6ed47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
A.4 | B.6 | C.8 | D.10 |
您最近一年使用:0次
解题方法
4 . 已知A是抛物线E:y2=2px(p>0)上的一点,以点A和点B(2,0)为直径两端点的圆C交直线x=1于M,N两点.
(1)若|MN|=2,求抛物线E的方程;
(2)若0<p<1,抛物线E与圆(x﹣5)2+y2=9在x轴上方的交点为P,Q,点G为PQ的中点,O为坐标原点,求直线OG斜率的取值范围.
(1)若|MN|=2,求抛物线E的方程;
(2)若0<p<1,抛物线E与圆(x﹣5)2+y2=9在x轴上方的交点为P,Q,点G为PQ的中点,O为坐标原点,求直线OG斜率的取值范围.
您最近一年使用:0次
名校
5 . 设抛物线
(
)的焦点为
,准线为
.过焦点的直线分别交抛物线于
两点,分别过
作
的垂线,垂足
.若
,且三角形
的面积为
,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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258872d404a35278aa86e930e095cf54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14eec658f69c267a70c1e8f9b744e282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
2017-04-02更新
|
621次组卷
|
3卷引用:湖北武汉市蔡甸区汉阳一中2017届高三第三次模拟考试数学(理)试题
6 . 已知抛物线
的焦点为
,准线为
,
是
上一点,
是直线
与抛物线
的一个交点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eeb855b90be5b671c0d6639d52d3e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.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/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24e39a792a72e0851a8e74e7bb7ea53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eeb855b90be5b671c0d6639d52d3e1f.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() |
您最近一年使用:0次
2019-10-12更新
|
88次组卷
|
2卷引用:2019年9月湖北省黄冈市高三质量检测数学(理)试题
12-13高三·河北唐山·开学考试
7 . 抛物线
的准线截圆
所得弦长为2,则
=_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977b815cbf346b4778d537df09283bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近一年使用:0次
名校
8 . 如图,抛物线
的焦点为
,取垂直于
轴的直线于抛物线交于不同的两点
,过
作圆心为
的圆,使抛物线上其余点均在圆外,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/10/80a14d3c-47c6-4d51-baf0-15b0209d0414.png?resizew=352)
(1)求抛物线
和圆
的方程;
(2)过点
作倾斜角为
的直线
,且直线
与抛物线
和圆
依次交于
,求
的最小值.
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7677fad27034a7220e207d434cefffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7677fad27034a7220e207d434cefffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92d744c48d8927b978dcb7d4ee88fdb2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/10/80a14d3c-47c6-4d51-baf0-15b0209d0414.png?resizew=352)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad2aae491b351640bae59209d2358ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21543d22e364aeae9e6393bea5ed943a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74916de8e7915d2b524d491353358a86.png)
您最近一年使用:0次
2016-12-04更新
|
541次组卷
|
4卷引用:湖北省襄阳第四中学2017届高三下学期5月适应性考试数学(理)试题
9 . 已知抛物线
的焦点为
,
,
是抛物线
上关于其对称轴对称的两点,若
,
为坐标原点,则点
的横坐标为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0ecad62a0ae951512c5c23011ba897.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/c1ba6fcb55ed1e7b1a3077f14111d0bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
10 . 设双曲线
的离心率为
,且一个焦点与抛物线
的焦点相同,则此双曲线的方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1542c48f287494f0c5f70a5c9eb6bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-04-13更新
|
455次组卷
|
2卷引用:2017届湖北省六校联合体高三4月联考数学(理)试卷