2014·吉林长春·一模
解题方法
1 . 如图,椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
的左焦点为
,过点
的直线交椭圆于
两点.
的最大值是
,
的最小值是
,满足
.
(1) 求该椭圆的离心率;
(2) 设线段
的中点为
,
的垂直平分线与
轴和
轴分别交于
两点,
是坐标原点.记
的面积为
,
的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96b52ef609c3dc3aed1b282c3761cedb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390673ed1f32c7ced6ed818f7f683285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1a55baa03a144da10e277aaf81c3a4.png)
(1) 求该椭圆的离心率;
(2) 设线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77399f3111e5580fda53bd9118630cf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90790ea39f5c5b578f0dbd8b14bd6617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbdf7e9f3dd474fd0a6ebbc40fe6635.png)
![](https://img.xkw.com/dksih/QBM/2017/2/8/1625058740813824/1625058741518336/STEM/2026fe1144aa406984a79eb0765dfc98.png?resizew=216)
您最近一年使用:0次
2017-02-16更新
|
1109次组卷
|
7卷引用:2015年全国高中数学联赛黑龙江赛区预赛试题
2015年全国高中数学联赛黑龙江赛区预赛试题(已下线)2015届吉林省长春市新高三起点调研考试理科数学试卷2017届湖南长沙一中高三文月考五数学试卷(已下线)黄金30题系列 高三年级数学(文) 大题好拿分【基础版】湖南省怀化市2023届高三二模数学试题专题20平面解析几何(解答题)(已下线)专题15 圆锥曲线综合
2010·山东聊城·二模
解题方法
2 . 已知椭圆
经过点
,离心率为
.
(1)求椭圆
的方程;
(2)设直线
与椭圆
交于
、
,点
关于
轴的对称点
(
与
不重合),则直线
与
轴是否交于一定点?若是,请写出定点坐标,并证明你的结论;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1497ffc1b18295b5f12c4a566a3285e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f99bddac58806e0024a1268378fe53d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f51698f7095e795d4f0527b986ac1db2.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4167feb456b79187e3582a90bdc0ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4167feb456b79187e3582a90bdc0ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5427b3e28d3a34a59e2f7ceacd3d5f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2016-11-30更新
|
1532次组卷
|
10卷引用:2012年全国高中数学联赛黑龙江赛区预赛试题
2012·河北衡水·一模
名校
解题方法
3 . 设
,
.
(Ⅰ)当
时,求曲线
在
处的切线的方程;
(Ⅱ)如果存在
,使得
成立,求满足上述条件的最大整数
;
(Ⅲ)如果对任意的
,都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0308bf45d7893b66fd25e322835cb4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c699778c1f92e2d975ac67c104d3fe.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(Ⅱ)如果存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9331df9c46ceb8f74f4cd7535e4b30d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f6fbb6f8133c81b5a61b91ad796df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(Ⅲ)如果对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9f0a52d1106a0c30d08ba59599094a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdf80f9cf72a90e6a974a9b634f06887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9-10高二下·辽宁·阶段练习
名校
4 . 将一骰子向上抛掷两次,所得点数分别为
和
,则函数
在
上为增函数的概率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963d721f7770044cceb2ffbc04220bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次