1 . 过抛物线
的焦点
且倾斜角为
的直线l与抛物线在第一、四象限分别交于A、B两点,则
等于( )
![](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/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ea76cc400cc41f036d44152894a8fa.png)
A.5 | B.4 | C.![]() | D.![]() |
您最近一年使用:0次
2021-01-26更新
|
71次组卷
|
2卷引用:山西省吕梁市2020-2021学年高二上学期期末数学(文)试题
名校
解题方法
2 . 已知抛物线
上的一点
到焦点
的距离等于3.
(1)求抛物线
的方程;
(2)若过点
的直线
与抛物线
相交于
,
两点,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab13c94d74b334cb268a31ea13a595e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40540618c5b9bb0de570d4c742efe648.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b929a31d169a811004f0ecd6b7984e61.png)
您最近一年使用:0次
2020-08-13更新
|
976次组卷
|
3卷引用:山西省朔州市怀仁一中云东校区2019-2020学年高二(下)期末数学(文科)试题
名校
解题方法
3 . 已知曲线
的抛物线
及抛物线
组成,
,
,
是曲线
上关于
轴对称的两点(
四点不共线,且点
在第一象限),则四边形
周长的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db63cef6d8bbb08137d71c6f7b6e741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ea6b5f801158380a615c3f99f615e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63368fb5c4feebe59c81bd5c90d8eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53abbd672b82a02c4975f99fbbd2c37.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-06-24更新
|
921次组卷
|
7卷引用:山西省运城市康杰中学2022-2023学年高二上学期期末数学试题
山西省运城市康杰中学2022-2023学年高二上学期期末数学试题2020届山西省运城市高中联合体高三第三次模拟数学(文)试题2020届山西省运城市高中联合体高三第三次模拟数学(理)试题(已下线)专题09 椭圆、双曲线与抛物线的几何性质-2020年高考数学(文)母题题源解密(全国Ⅱ专版)(已下线)专题08 椭圆、双曲线与抛物线的几何性质-2020年高考数学(理)母题题源解密(全国Ⅱ专版)(已下线)第44讲 抛物线(练) — 2022年高考数学一轮复习讲练测(课标全国版)人教A版(2019) 选修第一册 实战演练 第三章 课时练习28 抛物线的简单几何性质
名校
解题方法
4 . 已知抛物线
,焦点为
,直线
交抛物线
于
两点,
是线段
的中点,过
作
轴的垂线交抛物线
于点
.
(1)求抛物线
的焦点坐标;
(2)若抛物线
上有一点
到焦点
的距离为
,求此时
的值;
(3)是否存在实数
,使
是以
为直角顶点的直角三角形?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c8906654f8673e149e15fbe1a864266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9282813a58d9d14a5fe20846260003.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc77a3b4657d4e66d4198c7aba5476c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b17f20c25bb16153b5f2d25062ed7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-04-09更新
|
291次组卷
|
3卷引用:山西省怀仁市重点中学2019-2020学年高二上学期期末考试数学(理)试题
5 . (1)求焦点在直线
上的抛物线的标准方程;
(2)已知
、
为双曲线
的左、右焦点,点
在
上,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23fc11a3a7592c68b20f93bdde2ed3f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4058fc45c49e6710ba7e273cb7888704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f9bdc6d9f09e14b037ea7d3ee1f623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75436dfba3658f87e4c7830e508a752f.png)
您最近一年使用:0次
解题方法
6 . 给出下列命题:
(1)若函数
在
上是减函数,则
;
(2)直线
与线段
相交,其中
,
,则
的取值范围是
;
(3)点
关于直线
的对称点为
,则
的坐标为
;
(4)直线
与抛物线
交于
,
两点,则以
为直径的圆恰好与直线
相切.
其中正确的命题有__________ .(把所有正确的命题的序号都填上)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d55c71f66984d06846dfc9794671973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d1eec645764636c0e23b05e8f93234.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d50586ff0822c7d00945bc38d67c40a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d69f777281a6319434ccb7e845cc354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f4e703f37a1d6516e6516a7e36f06f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d43eb5d13c51115c0ca3087bb0b50a9.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c454d7cebb5355b61d71cafb47afd72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04eed461026f69fe9ab2c5dc12af8ac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461a7df65c0cc0442bba8de81c7b2362.png)
(4)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.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/99c6875d552e9fff3c7d655f3a59b166.png)
其中正确的命题有
您最近一年使用:0次
名校
7 . 已知抛物线
的焦点
到准线的距离为
,过点
作斜率为
的直线
交抛物线
于
,
两点.
(1)求抛物线
的方程;
(2)求
面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a21beb3c88e85fd5891d3a98fdd9ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8189f7b0ffe4d20bf0fad43b4ed589.png)
您最近一年使用:0次
2020-01-28更新
|
180次组卷
|
2卷引用:山西省2019-2020学年高二上学期期末考试数学(文)试题
名校
8 . 已知抛物线
过点
,直线
与
交于
两点.
(1)求抛物线方程;
(2)若线段
中点为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60b7a9437212b5ff5928980451b3b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.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)
(1)求抛物线方程;
(2)若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcbc641479f9092035f51499009aac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
解题方法
9 . 抛物线
的焦点为
,则经过点
与点
且与抛物线的准线相切的圆的个数有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.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/8cda12642d59a5817e8990c43de20535.png)
A.1个 | B.2个 | C.0个 | D.无数个 |
您最近一年使用:0次
2020-03-29更新
|
257次组卷
|
4卷引用:山西省太原市实验中学校2022-2023学年高三上学期期末调研模拟数学试题
解题方法
10 . 已知圆O1与圆O:x2+y2=r(r>0)交于点P(﹣1,y0).且关于直线x+y=1对称.
(1)求圆O及圆O1的方程:
(2)在第一象限内.圆O上是否存在点A,过点A作直线l与抛物线y2=4x交于点B,与x轴交于点D,且以点D为圆心的圆过点O,A,B?若存在.求出点A的坐标;若不存在.说明理由.
(1)求圆O及圆O1的方程:
(2)在第一象限内.圆O上是否存在点A,过点A作直线l与抛物线y2=4x交于点B,与x轴交于点D,且以点D为圆心的圆过点O,A,B?若存在.求出点A的坐标;若不存在.说明理由.
您最近一年使用:0次