10-11高三上·重庆万州·阶段练习
名校
1 . 已知椭圆
:
的离心率为
,过右焦点
且斜率为
(
)的直线与椭圆
相交于
两点.若
,则
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dce10bf671cc2ebc67aa7fd568a9a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.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/71be656e124354b0a3fe75eb85e4cfeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-05-17更新
|
356次组卷
|
13卷引用:2011—2012学年度黑龙江龙东地区第一学期高二期末理科数学试卷
(已下线)2011—2012学年度黑龙江龙东地区第一学期高二期末理科数学试卷(已下线)2011届重庆市万州二中高三12月月考理科数学卷(已下线)2011届河南省卫辉市高三2月月考数学理卷(已下线)2014届高考数学总复习考点引领+技巧点拨第九章第10课时练习卷2015-2016学年宁夏银川一中高二上学期期中理科数学试卷河南省南阳市第一中学2017-2018学年高二上学期第三次月考数学(文)试题(已下线)2019年6月16日 《每日一题》文数-每周一测黑龙江省齐齐哈尔市克东县克东一中、克山一中等五校联考2019-2020学年高二上学期期中数学(文)试题重庆市铜梁一中等三校2022-2023学年高二上学期期末数学试题(已下线)专题9 圆锥曲线第二定义的应用 微点1 圆锥曲线第二定义的应用(一)(已下线)专题8-3 圆锥曲线小题综合 (讲+练)-13.1 椭圆(已下线)专题6 圆锥曲线焦半径公式(高三压轴小题大全)【讲】
名校
2 . 在平面直角坐标系中,把横、纵坐标均为有理数的点称为有理点.若a为无理数,则在过点
的所有直线中,下列说法正确的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598a3d0689eb4110cbef668751a1d6aa.png)
A.有无穷多条直线,每条直线上至少存在两个有理点 |
B.恰有![]() |
C.有且仅有一条直线至少过两个有理点 |
D.每条直线至多过一个有理点 |
您最近一年使用:0次
2023-04-02更新
|
419次组卷
|
10卷引用:2015届福建省福州市三中高三模拟理科数学试卷
2015届福建省福州市三中高三模拟理科数学试卷(已下线)专题01 平面直角坐标系中的直线--高二期末考点大串讲(沪教版2020选修)(已下线)1.1 直线的斜率与倾斜角上海交通大学附属中学闵行分校2022-2023学年高二下学期3月月考数学试题上海市交通大学附属中学2022-2023学年高二下学期3月卓越考试数学试题(已下线)第1课时 课后 直线的斜率与倾斜角(已下线)第2课时 课后 瞬时变化率-导数(已下线)高二上学期第一次月考选择题压轴题50题专练-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)专题04 直线的方程压轴题(4类题型+过关检测)-【常考压轴题】2023-2024学年高二数学上学期压轴题攻略(人教A版2019选择性必修第一册)(已下线)1.1 直线的倾斜角与斜率(七大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
解题方法
3 . 已知椭圆
的一个顶点为
,离心率为
,右焦点为F,其中O为原点.
(Ⅰ)求椭圆的方程;
(Ⅱ)设点C满足
,点B在椭圆上(B异于椭圆的顶点).
(ⅰ)直线
与以C为圆心的圆相切于点P,且P为线段
的中点,求实数m的取值范围;
(ⅱ)若
,点B在第四象限,且
,求直线
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed6b9540857e386651e191a0a5b5a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12f0224fb7bf5096ed129922bf0ded3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(Ⅰ)求椭圆的方程;
(Ⅱ)设点C满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2631dc0165c92a99eaf4c4d12f5a74b.png)
(ⅰ)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01976af20d1652c65938fdf0d469c669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b8765cf37a19ed0c76f5ab516ce697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
名校
解题方法
4 . 已知抛物线
的焦点为
,过点
的直线与抛物线交于
,
两点,直线
,
分别与抛物线交于点
,
,设直线
与
的斜率分别为
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2273ae1ee99cec9c1304323bc9ebf75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1460aa3d83df61f6c411b34412135451.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/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.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/9af41ccb8328510b272cd02ecc2a9622.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2020-05-03更新
|
419次组卷
|
3卷引用:山东省烟台市2017-2018学年高二上学期期末考试数学(理)试题
5 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5563df225901b03c51b139684de04bd1.png)
,点
为椭圆上的点,长轴
,
,
为椭圆的上,下顶点,直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80e3a3b6c6513a45506f605638f5655.png)
交椭圆于
,
(点
在点
左侧,且
与
不重合).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3a7b9b23-e365-4342-bab1-51dab215a121.png?resizew=199)
(1)求证:直线
,
的倾斜角互补;
(2)记
的斜率为
,
的斜率为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5563df225901b03c51b139684de04bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480f004c98a0df86a35a48bc973f0472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80e3a3b6c6513a45506f605638f5655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877f829930fc5080200d0c209c601f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/3a7b9b23-e365-4342-bab1-51dab215a121.png?resizew=199)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0a8cfb3747c454e0698e12857ffae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67351fe10fcfc3f9072eec4c60bfaaa5.png)
您最近一年使用:0次
6 . 已知圆
:
和点
,
,
,
.
(1)若点
是圆
上任意一点,求
;
(2)过圆
上任意一点
与点
的直线,交圆
于另一点
,连接
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd99c5000629d7f49499d666e68f40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002360a6c8354d8c8c83eee93d875270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134fc3507b06c25a6cdf06b7ae11f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7ef0aa248a1b1fa43fe79e01c0b91d.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a76f054d5243832de5156e24cdf0525.png)
(2)过圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dafebaaf13781120dc57c277d0267c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5039702933c6732218dbdcda82e59c1.png)
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2019-07-06更新
|
1822次组卷
|
2卷引用:2019年广东省广州市海珠区高一下学期期末考试数学试题
名校
7 . 已知双曲线的标准方程
,F1,F2为其左右焦点,若P是双曲线右支上的一点,且tan∠PF1F2=
,
,则该双曲线的离心率为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465c159cc8b189632686dffb67371443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985d09240a66114bbaf42b53e5b0c40c.png)
您最近一年使用:0次
8 . 已知直线
与抛物线
交于
,
两点,且
的准线与
轴交于点
.
(1)证明:
;
(2)直线
,
的斜率分别记为
,
,若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba028c08c384ea58f685f68ea9e5814a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6ff82ebdfad5e7de1c7487b0b817a7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a53e311ee0b5085e7e5a45c606daa5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f041a6e34de49aaf70ac9159553fda3.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.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/f3f0177236b8a8ba08499fe494352c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2019-01-01更新
|
364次组卷
|
5卷引用:云南省楚雄州元谋县一中2018-2019学年上学期高三期末监测试卷数学文科试题
名校
9 . 已知
为椭圆
的右焦点,点
在
上,且
轴.
(1)求
的方程;
(2)过
的直线
交
于
两点,交直线
于点
.判定直线
的斜率是否依次构成等差数列?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b337c32bd5408c0ed8a9ee9cde4cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b1da9046b4cb82135a4a1eaa528c53.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224d30ca84f1aeeeda7a718e751a4925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac10ce10a7815a0baefdf4e03b11ff1.png)
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2018-12-05更新
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1804次组卷
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7卷引用:【市级联考】甘肃省张掖市2019届高三上学期第一次联考数学(理)试题
10 . 已知椭圆
的离心率为
,
是椭圆上一点.
(1)求椭圆的标准方程;
(2)过椭圆右焦点
的直线与椭圆交于
两点,
是直线
上任意一点.证明:直线
的斜率成等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968bc863acdb4f2b0cba33157363e711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da40c0caa13092a358d73cdbd65c4c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8d4b8197ef9be7b65ae17fef85b76f.png)
(1)求椭圆的标准方程;
(2)过椭圆右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e4e4c7a79d9d3cdb9ac5949d53e33e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfa8bf45e6d2d25a730a793d0cf5694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6c47db09ed9ff189c1440a6fa4ab52.png)
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