1 . 已知抛物线
:
,圆
:
,直线
:
与抛物线
相切于点
,与圆
相切于点
.
![](https://img.xkw.com/dksih/QBM/2018/3/7/1897177481379840/1898616581865472/STEM/24c7b68d3af64805b4c941b2adaa5bbe.png?resizew=169)
(1)若直线
的斜率
,求直线
和抛物线
的方程;
(2)设
为抛物线
的焦点,设
,
的面积分别为
,
,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/2018/3/7/1897177481379840/1898616581865472/STEM/24c7b68d3af64805b4c941b2adaa5bbe.png?resizew=169)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb41d09d7904d27e717b6e65cd80e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d64d411585faee7bd0ecc0935a52d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9ab1621cd729a18b2173e95d557376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54eba004c3cf1aca04c71d3c6ac00cbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb2ad51d298e2cf2c536df7e11147c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2 . 矩形
的两条对角线相交于点
,
边所在直线的方程为
,点
在
边所在直线上.
(I)求
边所在直线的方程;
(II)求矩形
外接圆的方程;
(III)若动圆
过点
,且与矩形
的外接圆外切,求动圆
的圆心的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822d32368657f3cf86a9f00414c1b404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c1e4830c2f003696517b32076f3d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2bd84403466428dc18d58fb728bf921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(I)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(II)求矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(III)若动圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdf010adbd7b855982313ce5de83ee7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2019-01-30更新
|
1428次组卷
|
9卷引用:2010-2011年广东省汕头市高二下学期期末考试文科数学
(已下线)2010-2011年广东省汕头市高二下学期期末考试文科数学(已下线)2012届广东揭阳一中、潮州金山中学高三第三次模拟考试理科数学试卷2007年普通高等学校招生全国统一考试理科数学卷(北京)(已下线)2011-2012学年江苏省南通市小海中学高二第一学期期末考试数学安徽省滁州市定远县育才学校2022-2023学年高二上学期第一次月考数学试题2007 年普通高等学校招生考试数学(理)试题(北京卷)2007 年普通高等学校招生考试数学(文)试题(北京卷)吉林省白山市抚松县第一中学2022-2023学年高三上学期第三次校内模拟数学试题北京名校2023届高三一轮总复习 第7章 解析几何 7.3 圆的方程
名校
3 . 如图,在平面直角坐标系
中,已知椭圆
的左、右顶点分别为
,
,过右焦点
的直线
与椭圆
交于
,
两点(点
在
轴上方).
(1)若
,求直线
的方程;
(2)设直线
,
的斜率分别为
,
.是否存在常数
,使得
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8023ab5ed46e3788a0660a5777f09699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34bc0ee0a95fab04edf648026f14b9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2017-05-04更新
|
1302次组卷
|
4卷引用:【全国百强校】广东省佛山市第一中学2017-2018学年高二下学期期中考试数学(文)试题
【全国百强校】广东省佛山市第一中学2017-2018学年高二下学期期中考试数学(文)试题江苏省苏北三市(连云港、徐州、宿迁)2017届高三年级第三次模拟考试数学试题(已下线)2017-2018学年度下学期高二数学期末备考总动员C卷理科022020届江苏省南通市如东县栟茶中学高三下学期5月模拟数学试题