名校
解题方法
1 . 如图,椭圆C:
的离心率
,椭圆C的左、右顶点分别为A,B,又P,M,N为椭圆C上非顶点的三点.设直线
,
的斜率分别为
,
.
![](https://img.xkw.com/dksih/QBM/2020/11/23/2599040898785280/2599855425036288/STEM/32977712-9541-471d-aadb-f96df6d147a2.png)
(1)求椭圆C的方程,并求
的值;
(2)若
,
,判断
的面积是否为定值?若为定值,求出该定值;若不为定值,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21eeb89acc4e562de9d2c433fe9cbf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075ba8c6fb5ef7288cd3fed425c8e69e.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/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://img.xkw.com/dksih/QBM/2020/11/23/2599040898785280/2599855425036288/STEM/32977712-9541-471d-aadb-f96df6d147a2.png)
(1)求椭圆C的方程,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7092eab640645009b43b1912401702fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e6a20f58944d2362064423f79bba25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
您最近一年使用:0次
2020-11-24更新
|
409次组卷
|
8卷引用:江西省临川一中暨临川一中实验学校2020-2021学年高二上学期期中考试数学(文)试题
名校
解题方法
2 . 如图,椭圆
经过点
,且离心率为
.
![](https://img.xkw.com/dksih/QBM/2020/11/7/2588047776972800/2591211552030720/STEM/527a93abb7354673a95324e792fbaa86.png?resizew=167)
(1)求椭圆E的方程;
(2)若经过点
,且斜率为k的直线与椭圆E交于不同的两点P,Q(均异于点A),证明:直线AP与AQ的斜率之和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71885f023172807ad43f2c9a670aa960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://img.xkw.com/dksih/QBM/2020/11/7/2588047776972800/2591211552030720/STEM/527a93abb7354673a95324e792fbaa86.png?resizew=167)
(1)求椭圆E的方程;
(2)若经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
您最近一年使用:0次
2020-11-12更新
|
1743次组卷
|
26卷引用:【区级联考】2018-2019学年江西省赣州市十五县(市)高二(下)期中数学(文科)试题
【区级联考】2018-2019学年江西省赣州市十五县(市)高二(下)期中数学(文科)试题江西省九江市三中2019届高三上学期期中文数试题江西省吉安县立中学2020-2021学年高二12月月考数学(文B)试题2016届山东省济南外国语学校高三上开学考试文科数学试卷2015-2016学年陕西省西安市七十中高二上学期期末理科数学试卷2015-2016学年陕西省西安市七十中高二上学期期末文科数学试卷北京市北京师范大学附属中学2016-2017学年高二下学期期中考试数学(文)试题人教A版高中数学 高三二轮 专题11 圆锥曲线中的定点、定值、最值与范围问题 测试【校级联考】湖北省武汉市部分市级示范高中2019届高三12月联考数学(理科)试题甘肃省玉门一中2018-2019学年高二上学期期末考试数学(文)试题【市级联考】安徽省安庆市2018-2019学年高二第一学期期末教学质量调研监测文科数学试题【校级联考】湖北省孝感市联考协作体2018-2019学年高二下学期期中考试数学(文)试题广西南宁市马山县金伦中学“4+ N”高中联合体2018-2019学年高二上学期期末数学(理)试题湖南师大附中2020届高三下学期月考(七)数学(文)试题安徽省亳州市利辛县阚疃金石中学2020-2021学年高三上学期第一次月考数学试题河北省正定县弘文中学2020-2021学年高二上学期9月月考数学试题江苏省徐州市沛县2020-2021学年高三上学期第一次学情调研数学试题重庆市渝北区松树桥中学2020-2021学年高二上学期11月月考数学试题山西省大同市煤矿第四中学校2021届高三上学期期中数学(文)试题福建省厦门双十中学2021届高三12月月考数学试题北京市第四十三中学2020-2021学年高二12月月考数学试题广东省实验中学越秀学校2020-2021学年高二上学期期中数学试题江西省兴国县第三中学2020-2021学年高二下学期第一次月考数学(文)试题湖南省常德市石门县第六中学2020-2021学年高二上学期期末数学试题吉林省汪清县汪清第四中学2021-2022学年高二上学期第二次阶段检测数学试题黑龙江省齐齐哈尔市第八中学校2023-2024学年高二上学期12月月考数学试题
名校
解题方法
3 . 已知椭圆
的左、右焦点分别为
,
,且
,设
是
上一点,且
,
.
(1)求椭圆
的方程;
(2)若不与
轴垂直的直线
过点
,交椭圆
于
,
两点,试判断在
轴的负半轴上是否存在一点
,使得直线
与
斜率之积为定值?若存在,求出点
的坐标;若不存在,请说明理由.
![](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/cc38e179692a3a8b476991b16edb1647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d132d8b209d6c321db55fdbbd965d606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60d79c0f0107df9167d7291b47594a8.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若不与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44748f376df3a2e8d7d174791d4ae66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963111aff6952322dfaca75ae069873c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
您最近一年使用:0次
2020-11-10更新
|
2406次组卷
|
7卷引用:江西省宜春市上高二中 2020-2021学年高二(上)第三次月考数学(理科)试题
江西省宜春市上高二中 2020-2021学年高二(上)第三次月考数学(理科)试题江西省上高二中2020-2021学年高二上学期第三次月考数学(理)试题湖南省、河北省新高考联考2020-2021学年高三上学期10月质量检测数学试题湖北省鄂州高中2020-2021学年高三上学期10月质量检测数学试题(已下线)专题22 圆锥曲线综合——2020年高考数学母题题源解密(山东专版)(已下线)专题22 圆锥曲线综合——2020年高考数学母题题源解密(海南专版)(已下线)专题08 平面解析几何-【备战高考】2021年高三数学高考复习刷题宝典(压轴题专练)
4 . 已知双曲线
的方程为:
,其左右顶点分别为:
,
,一条垂直于
轴的直线交双曲线
于
,
两点,直线
与直线
相交于点
.
(1)求点
的轨迹
的方程;
(2)过点
的直线,与轨迹
交于
,
两点,线段
的垂直平分线交
轴于
点,试探讨
是否为定值.若为定值,求出定值,否则说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63d5deb27a721addb31f96d9b5cdf6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae97d7f57b159b72a23eb909b74d7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cd19fa6b46b0f84127e40aaa8a66c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7bb9bce537630d4c7756772ac8de5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665bf22346bbce47e447ebe53b94942f.png)
您最近一年使用:0次
2020-11-04更新
|
876次组卷
|
4卷引用:江西省临川二中、临川二中实验学校2020届高三第二次模拟考试文科数学试题
江西省临川二中、临川二中实验学校2020届高三第二次模拟考试文科数学试题四川省成都市武侯区第十二中学2020-2021学年高二上学期10月月考数学试题(已下线)重难点04 解析几何-2021年高考数学【热点·重点·难点】专练(新高考)(已下线)专题6椭圆
名校
解题方法
5 . 已知椭圆
的左右焦点是
,且
的离心率为
.抛物线
的焦点为
,过
的中点
垂直于
轴的直线截
所得的弦长为
.
(1)求椭圆
的标准方程;
(2)设椭圆
上一动点
满足:
,其中
是椭圆
上的点,且直线
的斜率之积为
.若
为一动点,点
满足
.试探究
是否为定值,如果是,请求出该定值;如果不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef79f375ce0a9b834c9e2b6be0671101.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c74e2c4bff67edf76c9d2ef7b18ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d107e77106ff1a9cb76b504bbc99bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10e8abf8690e4b129466ddb918bcc94.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)设椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5f37f860e9598aaf99568ac1d4380c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602baac86c2b1668ecdfadc8a5948885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462c0b40f74722835ae5ec82b4a09db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9074ee272076b28944f1629a775ba3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d6284a7f7c269cb7157cfb43fe3e7f.png)
您最近一年使用:0次
2020-10-23更新
|
829次组卷
|
7卷引用:陕西省西安市高新一中2018-2019学年高二上学期期末理科数学试题
名校
解题方法
6 . 已知点
是椭圆
上的一点,椭圆
的离心率与双曲线
的离心率互为倒数,斜率为
直线
交椭圆
于
,
两点,且
,
,
三点互不重合.
(1)求椭圆
的方程;
(2)若
,
,分别为直线
,
的斜率,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e1624ce2eee9487238b41c3c7e8ffc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb223b8777ab973970491bf0dcc6806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1fa37c4c826b5dcfebe86ab6177906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/8455657dde27aabe6adb7b188e031c11.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e3f7ddd51215d00661c09cd900d60.png)
您最近一年使用:0次
2020-10-19更新
|
1107次组卷
|
9卷引用:福建省漳平市第一中学2019-2020学年高二上学期第一次月考试题数学
福建省漳平市第一中学2019-2020学年高二上学期第一次月考试题数学广西柳州市柳州高中2019-2020学年度高二上学期期中数学文科试卷广西柳州市高级中学2019-2020学年高二上学期期中考试数学(理)试题河南省洛阳市2019-2020学年高二下学期期中考试数学 (文)试题黑龙江省大庆市铁人中学2020-2021学年高三上学期期中考试数学(文科)试题黑龙江省黑河市嫩江市高级中学2020-2021学年高三上学期期中数学(文)试题江西省南昌市第十中学2021-2022学年高二下学期第一次月考数学(理)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)江苏省连云港市海头高级中学2022-2023学年高二上学期第三次月考数学试题
7 . 已知点
,
为椭圆
的左、右焦点,
,
都在圆
上,椭圆
和圆
在第一象限相交于点
,且线段
为圆
的直径.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/410634d8-5575-4fed-977f-0b703e34d70e.png?resizew=159)
(1)求椭圆
的方程;
(2)椭圆
的左、右顶点分别为
,
,过定点
的直线
与椭圆
分别交于点
,
,且点
,
位于第一象限,点
在线段
上,直线
与
交于点
.记直线
,
的斜率分别为
,
.求证:
为定值.
![](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/ad523e69a1bf925e73a22900b9855df2.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/55c96701d20ce5bb25771a3f69b8185c.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/410634d8-5575-4fed-977f-0b703e34d70e.png?resizew=159)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0d746ea92129f22e0d7dd44956adc7.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0009063fe00277645aff1be6e32471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c023f4b501684abd869b36d6e6c7f21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](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/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
您最近一年使用:0次
2020-10-17更新
|
798次组卷
|
2卷引用:江西省南昌二中2020届高三高考数学(理科)校测试卷题(三)
名校
解题方法
8 . 已知椭圆
的中点在原点,焦点在
轴上,离心率等于
,它的一个顶点恰好是抛物线
的焦点.
(1)求椭圆
的方程;
(2)已知点
,
在椭圆上,点
、
是椭圆上不同的两个动点,且满足
,试问直线
的斜率是否为定值,请说明理由.
![](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/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85027cef6f6920c2a38edec6ba5e7fcf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/4/952db069-18f5-49b8-800d-741b81fc0059.png?resizew=151)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7f6a03826a5ad351c1f7ca553a6945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561fbd802d8f840ebb1086a97aca3f70.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/198c249705ffdee268cd836f382e3855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2020-10-08更新
|
669次组卷
|
3卷引用:江西省上高二中2020-2021学年高二上学期第一次月考数学(文)试题
9 . 已知椭圆
短轴长为2,
是
的左焦点,
是
上关于
轴对称的两点,
周长的最大值为8.
(1)求椭圆
的标准方程;
(2)斜率为
且不经过原点
的直线
与椭圆
交于
两点,若直线
的斜率分别为
,且
,求直线
的斜率,并判断
的值是否为定值?若为定值,试求出此定值;否则,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026fced6e02fab3a836d0f0280d3f3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62c7c5232af6f5b52e150c86bb1993c.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/b929a31d169a811004f0ecd6b7984e61.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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://staticzujuan.xkw.com/quesimg/Upload/formula/0937a82f2946138ea1fab4e734dc46b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f5fac15de56be6dfb7ba2429b54cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a6844a4f6856930999063a0347a597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4de13a47637548ce5594ed8d64dec0c.png)
您最近一年使用:0次
2020-10-07更新
|
487次组卷
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3卷引用:广东省2021届高三上学期调研数学试题
10 . 在①离心率
,②椭圆
过点
,③
面积的最大值为
,这三个条件中任选一个,补充在下面(横线处)问题中,解决下面两个问题.
设椭圆C:
(
)的左、右焦点分别为
,过
且斜率为
的直线
交椭圆于
两点,已知椭圆
的短轴长为
,________.
(1)求椭圆
的方程;
(2)若线段
的中垂线与x轴交于点N,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de261e9b4defbc0be6440397031a87b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
设椭圆C:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5269f488292277f596449075dcbe8807.png)
您最近一年使用:0次
2020-10-03更新
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1194次组卷
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12卷引用:山东省济宁市2019-2020学年高二上学期期末数学试题
山东省济宁市2019-2020学年高二上学期期末数学试题江苏省徐州市沛县歌风中学2020-2021学年高二上学期学情调研数学试题2021届高三高考必杀技之结构开放题专练江苏省扬州市第一中学2020-2021学年高二上学期期中数学试题江西省上饶市广丰区重点高中2022-2023学年高二上学期期中考试数学试题人教A版(2019) 选修第一册 实战演练 全册综合验收检测(已下线)卷09 高二上学期12月阶段测-【重难点突破】2021-2022学年高二数学上册常考题专练(人教A版2019选择性必修第一册)(已下线)第三章 圆锥曲线与方程(选拔卷)-【单元测试】2021-2022学年高二数学尖子生选拔卷(苏教版2019选择性必修第一册)2023版 北师大版(2019) 选修第一册 名师精选卷 第六单元 椭圆 B卷2023版 苏教版(2019) 选修第一册 名师精选卷 第六单元 椭圆B卷选择性必修第一册综合测试卷-2022-2023学年高二上学期数学人教B版(2019)江苏省镇江市扬中市第二高级中学2023-2024学年高二上学期期末模拟数学试题(一)