名校
解题方法
1 . 已知椭圆
经过点
,且右焦点
.
(1)求椭圆
的标准方程;
(2)过
且斜率存在的直线
交椭圆
于
、
两点,记
,若
的最大值和最小值分别为
、
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163b5beef24f681605adecc6b0ba76e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b85acb5a868b0ff2a17b1ca926dd43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ce47fde921058026708a4321a0e213.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f36374ce95a4945d0e58264c2b271f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.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/4b521030575dc88245f92f40564a5b2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd43409a358dca98d58b8dcc28d84e50.png)
您最近一年使用:0次
2022-03-25更新
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706次组卷
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16卷引用:江苏省镇江市丹阳市吕叔湘中学2020-2021学年高三上学期11月教学调研数学试题
江苏省镇江市丹阳市吕叔湘中学2020-2021学年高三上学期11月教学调研数学试题【市级联考】湖北省武汉市2019届高三4月调研测试数学(理)试题【市级联考】湖北省武汉市2019届高三高考数学理科模拟试题四川省南充高级中学2019-2020学年高二上学期12月月考数学(文)试题四川省南充市高级中学2019-2020学年高二上学期12月月考数学(理)试题山东省2020届高三新高考预测数学试卷福建省南平市第八中学2020—2021学年高二上学期期中检测数学试题(已下线)模块检测卷三(A卷 基础过关检查)-2021年高考数学一轮复习单元滚动双测卷(新高考地区专用)苏教版(2019) 选修第一册 必杀技 第三章 专题4 与圆锥曲线有关的范围、最值、定点、定值问题北师大版(2019) 选修第一册 必杀技 第二章 4.2 直线与圆锥曲线的综合问题江苏省南通市2021-2022学年高三上学期9月第一次教学质量监测数学试题福建省三明市四地四校2021-2022学年高二上学期期中联考协作卷数学试题(已下线)专题29 圆锥曲线求定值七种类型大题100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)(已下线)专题二十三 椭圆与方程四川省广安市第二中学校2022-2023学年高二上学期第二次月考数学(理)试题福建省厦门市杏南中学2023-2024学年高二上学期11月期中阶段测试数学试题
2 . 如图,已知椭圆
与等轴双曲线
共顶点
,过椭圆
上一点
作两直线与椭圆
相交于相异的两点
,直线
、
的倾斜角互补.直线
与
轴正半轴相交,分别记交点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/a52dd6a3-9f1f-4b8e-97c1-30df7c2370da.png?resizew=225)
(1)求椭圆
和双曲线
的方程;
(2)若
的面积为
,求直线
的方程;
(3)若
与双曲线
的左、右两支分别交于
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd486b8796b3454eab219c28ed131683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04c8d7fbd6165d240cad25eaef7b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879080beb1e55cae2639645cd64c4710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/a52dd6a3-9f1f-4b8e-97c1-30df7c2370da.png?resizew=225)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ca00309261a540934d9b3ed9ba05b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d53c169f61dc680d3c5066f870fb909.png)
您最近一年使用:0次
2021-08-17更新
|
569次组卷
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5卷引用:江苏省泰州市姜堰中学2020-2021学年高二上学期阶段测试二数学试题
名校
解题方法
3 . 若椭圆
上的点
到右准线的距离为
,过点
的直线
与
交于两点
,且
,则
的斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c382681e1d7774c7c13ae5286d8377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25e326fdf9e5456f48e8a99a069f379.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/2585f8a25091895e30357529c3d68519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-01-22更新
|
1922次组卷
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8卷引用:江苏省无锡市八校联盟2020-2021学年高三上学期第三次适应性检测数学试题
江苏省无锡市八校联盟2020-2021学年高三上学期第三次适应性检测数学试题江苏省镇江市扬中市第二高级中学2021-2022学年高三下学期期初数学试题江苏省镇江市扬中市第二高级中学2021-2022学年高二下学期期初数学试题江苏省无锡市普通高中2020-2021学年高二上学期期末数学试题(已下线)专题5.2 解析几何与平面向量相结合问题-玩转压轴题,进军满分之2021高考数学选择题填空题(已下线)专题25 圆锥曲线压轴小题必刷100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)江苏省南通市通州区金沙中学2021-2022学年高二上学期第二次调研考试数学试题辽宁省本溪市高级中学2023-2024学年高三上学期高考适应性测试(一)数学试题
解题方法
4 . 在平面直角坐标系xOy中,椭圆
左、右焦点分别为
,
,离心率为
,两准线间距离为8,圆O的直径为
,直线l与圆O相切于第四象限点T,与y轴交于M点,与椭圆C交于点N(N点在T点上方),且
.
![](https://img.xkw.com/dksih/QBM/2020/6/28/2494636660154368/2495274098663424/STEM/13704f7dff054847ab5ac19a163e4206.png?resizew=219)
(1)求椭圆C的标准方程;
(2)求直线l的方程;
(3)求直线l上满足到
,
距离之和为
的所有点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.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/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2032fccdf9ab12429aae024d67b19d60.png)
![](https://img.xkw.com/dksih/QBM/2020/6/28/2494636660154368/2495274098663424/STEM/13704f7dff054847ab5ac19a163e4206.png?resizew=219)
(1)求椭圆C的标准方程;
(2)求直线l的方程;
(3)求直线l上满足到
![](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/4e2031d209711b058f3d278ede3c1d33.png)
您最近一年使用:0次
5 . 如图,已知椭圆
过点
,离心率为
,
分别是椭圆
的左、右顶点,过右焦点
且斜率为
的直线
与椭圆
相交于
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/276fe1b7-50da-44b3-ae0f-e909e9fa1475.png?resizew=172)
(1)求椭圆
的标准方程;
(2)记
、
的面积分别为
、
,若
,求
的值;
(3)记直线
、
的斜率分别为
、
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2de52259b426acb42761fec59a7748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6bdac20e214b2cb3bd07f8d4778dcca.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/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/276fe1b7-50da-44b3-ae0f-e909e9fa1475.png?resizew=172)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef6516358878a47560b1d9eff2d5c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2711907ebea07f0bafae5137dd0c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67bac29f3e7d49cc1ea1e5ae7384ee9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)记直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.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/a2a3f348a942d468f0d77c0dfbb41d87.png)
您最近一年使用:0次
2020-06-19更新
|
519次组卷
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8卷引用:江苏省盐城中学2019-2020学年高三下学期阶段检测数学试题
江苏省盐城中学2019-2020学年高三下学期阶段检测数学试题江苏省淮安市清浦中学2019-2020学年高三下学期5月阶段性检测数学试题(已下线)数学-6月大数据精选模拟卷04(山东卷)(满分冲刺篇)(已下线)数学-6月大数据精选模拟卷03(北京卷)(满分冲刺篇)2020届江苏省盐城中学高三下学期5月高考模拟数学试题重庆市蜀都中学2020-2021学年高二上学期12月月考数学试题江苏省镇江市扬中市第二高级中学2021-2022学年高二下学期期初数学试题江苏省高邮市2019-2020学年高三上学期12月阶段性学情联合调研数学试题
6 . 已知椭圆
右焦点F的坐标为
,点
在椭圆C上,过F且斜率为
的直线l与椭圆C相交于A,B两点,线段AB的中点为M,O为坐标原点.
(I)求椭圆C的方程;
(Ⅱ)设线段AB的垂直平分线与x轴、y轴分别相交于点C,D.若
与
的面积相等,求直线l的斜率k.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b0dadb875cccce870b69409a476606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26d1b84ffffb01daebfd1a425fc16ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffb1c13c600a1a87922fbecb13cbc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
(I)求椭圆C的方程;
(Ⅱ)设线段AB的垂直平分线与x轴、y轴分别相交于点C,D.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f43dd27150098f6dfabfdac92da27e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac83f9aad1493bac1fdd2d240cbfa10.png)
您最近一年使用:0次
名校
7 . 已知椭圆
与椭圆
有相同的焦点,且椭圆
过点
.
(1)求
的长轴长;
(2)设直线
与
交于
两点(
在
的右侧),
为原点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffbac633ef5f92bb42e9f1f9873e159a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3e215df30c56003fa1d9ac6c416089.png)
您最近一年使用:0次
2017-12-20更新
|
1552次组卷
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5卷引用:江苏省镇江市2019-2020学年高一下学期期末数学试题