11-12高二上·江西抚州·期末
1 . 已知
是椭圆
的两个焦点,
为坐标原点,点
在椭圆上,且
,圆
是以
为直径的圆,直线
与圆
相切,并且与椭圆交于不同的两点
.
(1)求椭圆的标准方程;
(2)当
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7498cbc02b3b8bf7531c6b8f37ecf12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9397e308ce864ac82e59260ad88e9257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc5bd66dd6d5e09ff0893a938aed56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求椭圆的标准方程;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7470d8a24390a7d07d73ed806656590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2011·江西·一模
2 . 已知椭圆的两个焦点
,且椭圆短轴的两个端点与
构成正三角形.
(1)求椭圆的方程;
(2)过点
且与坐标轴不平行的直线
与椭圆交于不同两点
,若在
轴上存在定点
,使
恒为定值,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871868260c78a20767eae39bcdb97476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(1)求椭圆的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5850ed6ad7d8e9652625bd03766c61df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4760140a8673ead1a68737f3351fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10-11高三·江西九江·阶段练习
3 . 已知椭圆的左右焦点分别为
、
,离心率为
.
(1)求椭圆的方程;
(2)设直线
经过
与椭圆交于M、N两点,
斜率为
,若
为钝角,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9d55173f26afdf0e37462b556a605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d6f746c2355072d914591bf60c3801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求椭圆的方程;
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab820a43016677dcc071517b4735f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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4 . (1)点M到点
的距离比它到直线
的距离小1,求点M满足的方程.
(2)曲线上点
到定点
的距离和它到定直线
的距离比是常数2,求曲线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
(2)曲线上点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224d30ca84f1aeeeda7a718e751a4925.png)
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2011·河北衡水·一模
解题方法
5 . 若直线3ax+5by+15=0到原点的距离为1,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da001dad7941e6c9858637d7b62cec59.png)
A.[3,4] | B.[3,5] | C.[1,8] | D.(3,5] |
您最近一年使用:0次
11-12高三上·辽宁铁岭·阶段练习
名校
解题方法
6 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
,
为长轴的一个端点,弦
过椭圆的中心
,且
,
,则其短轴长为 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122316eff03aed18424fb93cd427a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b6e624eda24ef71833b30212e7d815.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10-11高二上·湖南·期末
名校
解题方法
7 . 已知抛物线
:
,焦点为
,其准线与
轴交于点
.椭圆
:分别以
、
为左、右焦点,其离心率
,且抛物线
和椭圆
的一个交点记为
.
(1)当
时,求椭圆
的标准方程;
(2)在(1)的条件下,若直线
经过椭圆
的右焦点
,且与抛物线
相交于
,
两点,若弦长
等于
的周长,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340a6bf0c32ee7f426ad677e06c0be23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](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/d5c7316976a221c051a2c14df80b1347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194b8ab194c7d299d5c3e0f09ec18384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)在(1)的条件下,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.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/2401bc9c26cc3b0b8384c7139bd58fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42fc33bcfc63ec2f4940ccd3f862400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2016-11-30更新
|
912次组卷
|
4卷引用:2011届湖南省嘉积中学高二上学期质量检测数学理卷
(已下线)2011届湖南省嘉积中学高二上学期质量检测数学理卷(已下线)2011-2012学年度吉林省吉林市高二上学期期末理科数学试卷【市级联考】安徽省定远重点中学2018-2019学年高二上学期第三次月考数学(文)试题江西省赣州市赣县第三中学2021-2022学年高二4月月考数学(理)试题
8 . 设
,
分别为椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d72a07a4e5acfc140a3cea1f26b951.png)
的左右焦点,过
的直线
与椭圆
相交于
,
两点,直线
的倾斜角为
,
到直线
的距离为
.
(Ⅰ)求椭圆
的焦距;
(Ⅱ)如果
,求椭圆
的方程.
![](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/d7d72a07a4e5acfc140a3cea1f26b951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706b8c6c4867aa1538ba4c3e8e6ce5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2016-11-30更新
|
312次组卷
|
15卷引用:2010年江西省高安中学高二上学期期中考试理科数学卷
(已下线)2010年江西省高安中学高二上学期期中考试理科数学卷2010年普通高等学校招生全国统一考试(辽宁卷)文科数学2010年普通高等学校招生全国统一考试(辽宁卷)文科数学全解全析(已下线)2010—2011学年辽宁省营口市普通高中高二上学期期末教学质量检测理科数学(已下线)2011-2012学年山东省微山一中高二上学期期中理科数学试卷(已下线)2011-2012学年陕西省长安一中高二上学期期末考试文科数学【全国百强校】重庆市第一中学2018-2019学年高二上学期期中考试数学(理)试题安徽省蚌埠二中2019-2020学年高二下学期开学检测理科数学试题黑龙江省哈尔滨市第六中学2020-2021学年高二10月月考数学(文)试题河南省焦作市博爱英才学校2020-2021学年高二第一学期11月月考文科数学试题上海市交通大学附属中学2020-2021学年高二上学期期中数学试题沪教版(2020) 一轮复习 堂堂清 第七单元 7.6 椭圆河南省洛阳复兴学校2021-2022学年高二上学期12月月考数学试题沪教版(2020) 选修第一册 高效课堂 第二章 每周一练(2)(已下线)第3章 圆锥曲线与方程 综合测试-【暑假自学课】2023年新高二数学暑假精品课(苏教版2019必修第一册)
真题
9 . ![](https://img.xkw.com/dksih/QBM/2010/6/25/1569769665044480/1569769670950912/STEM/a0acc3a2a3894b4b8adac546002499b5.png)
设椭圆
:
,抛物线
:
.
(1) 若
经过
的两个焦点,求
的离心率;
(2) 设
,又
为
与
不在
轴上的两个交点,若
的垂心为
,且
的重心在
上,求椭圆
和抛物线
的方程.
![](https://img.xkw.com/dksih/QBM/2010/6/25/1569769665044480/1569769670950912/STEM/a0acc3a2a3894b4b8adac546002499b5.png)
设椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ec56b59d6f2654570c2b5c4fd13a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88733679b82e59647a97008d7ccd1064.png)
(1) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2) 设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98259eb684d6a220f399b2bc3cb6b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720eca6dda7eecc59faa6c65f42e4618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720eca6dda7eecc59faa6c65f42e4618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da2c99839254ab23e91b09cd4bbc907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f1407e16443688949ac65941e871d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
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2010·河北·一模
名校
解题方法
10 . 已知动圆C过点A(-2,0),且与圆
相内切.
(1)求动圆C的圆心的轨迹方程;
(2)设直线
: y=kx+m(其中k,m∈Z)与(1)所求轨迹交于不同两点B,D,与双曲线
交于不同两点E,F,问是否存在直线
,使得向量
,若存在,指出这样的直线有多少条?若不存在,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f11edf9bcd468914d9777312bdbc70f.png)
(1)求动圆C的圆心的轨迹方程;
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/676429a1a7b874900b232afe16849827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62f9ff26aca2bbefc0b78a323b514b53.png)
您最近一年使用:0次