名校
1 . 若点A,F分别是椭圆
的左顶点和左焦点,过点F的直线交椭圆于M,N两点,记直线
的斜率为
,其满足
,则直线
的斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79275f21738e7f001df5ebe6632bfe3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe0ea445fc6b756b34b56a95e4d0381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a745c2da749f30fcf58edf0821f7cb04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2018-11-28更新
|
3068次组卷
|
4卷引用:2020届黑龙江省佳木斯市第一中学高三上学期第四次调考(11月)数学(文)试题
名校
2 . 已知
,
分别是椭圆
:
(
)的左、右焦点,
,
分别是椭圆
的上顶点和右顶点,且
,离心率
.
(1)求椭圆
的方程;
(2)设经过
的直线
与椭圆
相交于
,
两点,求
的最小值.
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd8b8fe10b116804aa4e1abe666648f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设经过
![](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/7e1ed996dcf8089242d4ed786ea6a3ff.png)
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名校
3 . 已知椭圆方程为
,它的一个顶点为
,离心率
.
(1)求椭圆的方程;
(2)设直线
与椭圆交于
,
两点,坐标原点
到直线
的距离为
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25e326fdf9e5456f48e8a99a069f379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234e7679481ec0d01c915b7fbb71891d.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/76c2bb7be2e9410a16502268fd4c67be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14c6709d2a04863cacdee618b20613e.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/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
您最近一年使用:0次
2018-01-24更新
|
1037次组卷
|
3卷引用:黑龙江省佳木斯市第一中学2017-2018学年高二上学期期末考试数学(文)试题
名校
4 . 椭圆
中心在原点,焦点在
轴上,
、
分别为上、下焦点,椭圆的离心率为
,
为椭圆上一点且
.
(1)若
的面积为
,求椭圆
的标准方程;
(2)若
的延长线与椭圆
另一交点为
,以
为直径的圆过点
,
为椭圆上动点,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3730c75274361f28b950ba1388afa8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9df1061c3ba5151ba2f7359acaf356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.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/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c542934a3e740ccf74d8c1acf75dad47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb6da108e492b2d19e384dbad668fa83.png)
您最近一年使用:0次
2017-12-05更新
|
971次组卷
|
4卷引用:黑龙江省佳木斯市第一中学2018届高三上学期第五次调研数学(文)试题
黑龙江省佳木斯市第一中学2018届高三上学期第五次调研数学(文)试题【全国校级联考】安徽省定远重点中学2018届高三5月高考模拟考试数学(文)试题(已下线)专题28 圆锥曲线求范围及最值六种类型大题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)上海市上海师大附属宝山罗店中学2023-2024学年高二上学期期末诊断调研数学试题
名校
5 . 已知椭圆
的方程为
,如果直线
与椭圆的—个交点
在
轴上的射影恰好是椭圆的右焦点
,则
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef6122751fd14765bb3c345fe834366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91a18f8751aa1008f1e43516a588207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.2 | B.![]() | C.8 | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 已知椭圆
,直线
.
(1)若
与椭圆有一个公共点,求
的值;
(2)若
与椭圆相交于
两点,且
等于椭圆的短轴长,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3cf706fe2ae0b2e99041ec1f4bf9ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d00a5df9d281dd4e1e45bf6a4d6fb27.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ad58997b9dc0b341c9af08f0cd1fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82358b724051b032c7ec734a226ae84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2017-10-15更新
|
209次组卷
|
2卷引用:黑龙江省佳木斯市第一中学2017-2018学年高二10月月考数学(文)试题
名校
解题方法
7 . 已知椭圆
的离心率为
,其过点
,其长轴的左右两个端点分别为
,直线
交椭圆于两点
.
(1)求椭圆的标准方程;
(2)设直线
的斜率分别为
,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2de52259b426acb42761fec59a7748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00daf1ae1ac96e26a29bea33a637c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
(1)求椭圆的标准方程;
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5aefba647642963129d6867930e2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81366cdb4230d53e7fb23fc1145b9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
12-13高三上·黑龙江佳木斯·阶段练习
名校
8 . 已知点
在椭圆C:
上,且椭圆C的离心率为
.
(Ⅰ)求椭圆C的方程;
(Ⅱ)过点
作直线交椭圆C于点
的垂心为
,是否存在实数
,使得垂心
在y轴上.若存在,求出实数
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451fc6e4248b63e70595f23842f06c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9a4830ddc54490290563d29894e318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(Ⅰ)求椭圆C的方程;
(Ⅱ)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf79cb23663d964b7c7c18834d30f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604beb241d0e1f4697d8039f7913add3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://img.xkw.com/dksih/QBM/2012/2/3/1570713043607552/1570713049161728/STEM/e2fb7199-3571-476e-bd80-b3f9d727643f.png?resizew=217)
您最近一年使用:0次