名校
解题方法
1 . 1.在平面直角坐标系
中,椭圆
:
的离心率为
,焦距为2.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/be9ccdf9-1a3e-48be-98d0-c5da85f95fd8.png?resizew=221)
(1)求椭圆
的方程;
(2)如图,动直线
:
交椭圆
于A,
两点,
是椭圆
上一点,直线
的斜率为
,且
,
是线段
延长线上一点,且
,
的半径为
,
,
是
的两条切线,切点分别为S,
.求
的最小值及
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/be9ccdf9-1a3e-48be-98d0-c5da85f95fd8.png?resizew=221)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)如图,动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394d3d55b68bd014b2a743da6bc0bbd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b728c0e69820cdcd839e67ffdb1014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77c7fcf5a32774e6e0c46bb6e3618a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc28b3e3b151b74ace297c6af574cac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d66b83d9dbcb45e1c241d18a3e1843f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6542e3902685bc6c6e7338eeff7db0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0a0f726fad67e97d5864dec65cb5c6.png)
您最近一年使用:0次
2021-11-14更新
|
1509次组卷
|
5卷引用:江西省抚州市临川第一中学2021-2022高二12月月考数学(理)试题
名校
解题方法
2 . 在平面直角坐标系
中,已知椭圆
的焦距为2,离心率为
,椭圆的右顶点为
.
(2)过点
作直线
交椭圆于两个不同点
,
,求证:直线
,
的斜率之和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcba5c93bd4035937949aafa0c354106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.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/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
您最近一年使用:0次
2020-09-06更新
|
2293次组卷
|
12卷引用:【全国百强校】江西省抚州市金溪县第一中学2018-2019学年高二12月月考数学(文)试题
【全国百强校】江西省抚州市金溪县第一中学2018-2019学年高二12月月考数学(文)试题2016-2017学年江苏苏锡常镇四市高三教学情况调研(一)数学试卷【全国市级联考】新疆维吾尔自治区乌鲁木齐地区2018届高三5月适应性训练数学(理)试题【全国市级联考】新疆乌鲁木齐地区2018届高三5月适应性训练数学文试题【全国百强校】江西省南昌市第十中学2018-2019学年高二上学期第二次月考数学(文)试题宁夏石嘴山市第三中学2019-2020学年高三第四次高考适应性考试数学(理)试题2020届重庆市北碚区高三上学期第一次诊断性考试数学试题2020届江苏省南通市如东县栟茶高级中学高三上学期第三次月考数学试题人教A版(2019) 选择性必修第一册 第三章 圆锥曲线的方程 单元测试陕西省渭南市大荔县2020-2021学年高二上学期期末数学(理)试题广东省佛山市禅城区佛山第一中学2022届高三上学期10月月考数学试题河南省济源市第四中学2023-2024学年高二上学期12月考数学试卷
名校
3 . 在平面直角坐标系
中,椭圆
过点
,焦点
,圆
的直径为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/2805fa57-83cf-4509-a9ee-252a0472f7c5.jpg?resizew=184)
(1)求椭圆
及圆
的方程;
(2)设直线
与圆
相切于第一象限内的点
,直线
与椭圆
交于
两点.若
的面积为
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38398209c6e596145044d5afdea2e80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871868260c78a20767eae39bcdb97476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/2805fa57-83cf-4509-a9ee-252a0472f7c5.jpg?resizew=184)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf116c552e0441e49c9845a63e26391c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2019-06-05更新
|
1563次组卷
|
3卷引用:【全国百强校】江西省抚州市临川第一中学2019届高三下学期考前模拟考试文科数学试题
名校
4 . 在平面直角坐标系中,若
,
,且
.
(Ⅰ)求动点
的轨迹
的方程;
(Ⅱ)设(Ⅰ)中曲线
的左、右顶点分别为
、
,过点
的直线
与曲线
交于两点
,
(不与
,
重合).若直线
与直线
相交于点
,试判断点
,
,
是否共线,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d908933bae3fc4d3525f1a6415abec25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dae0cdb2b8fa89d3bc8efa73501ff31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466b8d54c992f259df34b5d6de1c2760.png)
(Ⅰ)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ff7e0ef1f622120cc1b18e9d3e80ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)设(Ⅰ)中曲线
![](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/53a948d2f7732d7f03e986c63712089b.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2019-05-12更新
|
1521次组卷
|
4卷引用:2020届江西省南城县第一中学高三上学期期末考试数学(文)试题