解题方法
1 . 已知椭圆
:
的焦点为
,
.过
且倾斜角为60°的直线交椭圆的上半部分于点
,以
,
(
为坐标原点)为邻边作平行四边形
,点
恰好也在椭圆上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13bc696ff89b2b107bb45029ddf9f114.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813f9a2814013e2407b5b1c216159359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fd15503ee692f8286b0312f7c6f0cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80ecb6b5d5eca464b3f099513c08fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438b087a3b66f48298b5a944629adb44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64e5012edae761165b1a7fc616afaf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13bc696ff89b2b107bb45029ddf9f114.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/29/aa0f4dca-d7b6-446c-966f-8dbdcf04b17f.png?resizew=300)
您最近一年使用:0次
2022-08-31更新
|
1897次组卷
|
4卷引用:2023版 湘教版(2019) 选修第一册 过关斩将 第3章 3.1.2 椭圆的简单几何性质
2023版 湘教版(2019) 选修第一册 过关斩将 第3章 3.1.2 椭圆的简单几何性质(已下线)专题7 解决曲线的几何性质的运算(基础版)(已下线)专题38 椭圆及其性质-6广东省潮州市2023届高三模拟数学试题
名校
解题方法
2 . 已知椭圆
:
,
、
是椭圆
的两个焦点,
、
是椭圆
上两点,且
、
分别在
轴两侧,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.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/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/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/81dea63b8ce3e51adf66cf7b9982a248.png)
A.若直线![]() ![]() |
B.四边形![]() |
C.![]() |
D.若直线![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-08-12更新
|
1235次组卷
|
3卷引用:3.1.2 椭圆的几何性质(二)(同步练习基础版)
3 . 下列关于曲线
的结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb06b9deb9b6ce154469b4af1efe11ae.png)
A.曲线![]() | B.y的取值范围是![]() |
C.关于直线![]() | D.曲线![]() |
您最近一年使用:0次
2022-06-28更新
|
635次组卷
|
8卷引用:3.1.2 椭圆的几何性质(1)
(已下线)3.1.2 椭圆的几何性质(1)(已下线)专题3.4 椭圆的简单几何性质-重难点题型检测-2022-2023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)上海市华东师范大学附属东昌中学2021-2022学年高二下学期质量调研数学试题(已下线)第三章 圆锥曲线的方程(A卷·知识通关练)(2)(已下线)核心考点04抛物线、曲线与方程(1)(已下线)专题3.2 椭圆的简单几何性质【八大题型】-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19 圆锥曲线 (练习)-2上海海洋大学附属大团高级中学2023届高三上学期12月月考数学试题
4 . 已知椭圆
满足
,长轴
上2021个等分点从左至右依次为点
,过点
作斜率为
的直线,交椭圆于
两点,
点在x轴上方;过
点作斜率为
的直线,交椭圆于
两点,
点在x轴上方;以此类推,过
点作斜率为
的直线,交椭圆于
两点,
点在x轴上方;则4042条直线
的斜率乘积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4037561c629fd07503c6803e1eb62fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40aa06fe7a558195c91afb229f14e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bcb166b53a49e393871bcb14a528792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594fa9a4bce1ed5fd27e4cb55d63cf0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bcb166b53a49e393871bcb14a528792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51b499fc7d2b2647fbd38b220244d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a322c90cd9169ecde9415114fb7c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bcb166b53a49e393871bcb14a528792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcd7f57515339cff4bad5da8ca6761a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f88fc0f3df0dbf99b0ae5f43e9b1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa5e8629551a6fbe8a36e87cd255922.png)
您最近一年使用:0次
名校
解题方法
5 . 已知椭圆
的离心率为
,右焦点是
,左、右顶点分别是
和
.直线
与椭圆
交于
,
两点,点
在
轴上方,且当
时,
.
(1)求椭圆
的方程;
(2)若直线
、
的斜率分别是
和
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020ac31fd5996e202beeaae14e40e660.png)
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ceafb7900a104dc7fc5d17695b98176.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](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/67351fe10fcfc3f9072eec4c60bfaaa5.png)
您最近一年使用:0次
2022-05-09更新
|
1127次组卷
|
4卷引用:2.8直线与圆锥曲线的位置关系(1)
名校
6 . 在曲线
中,( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef84e57720a1abd4ab17c0a871a82d0.png)
A.当![]() |
B.当![]() |
C.曲线C关于直线![]() |
D.当![]() ![]() |
您最近一年使用:0次
2022-04-24更新
|
1452次组卷
|
7卷引用:沪教版(2020) 选修第一册 新课改一课一练 第2章 2.2.2.1椭圆的性质(1)
7 . 若曲线
与椭圆
有两个不同的交点,则a的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53654f7ffc70f008ec611e8487308bd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b971902999be2472828cbea1f1d5725a.png)
您最近一年使用:0次
8 . 已知椭圆
的两个焦点分别为
,且平行于
轴的直线
与椭圆
交于
两点,那么
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a57e1c61bd3046d07f0116a255f797c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb85beefee158ba760a0ded42443a55.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-04-13更新
|
570次组卷
|
4卷引用:3.1.2 椭圆的几何性质(二)(同步练习基础版)
3.1.2 椭圆的几何性质(二)(同步练习基础版)四川省攀枝花市2021-2022学年高二上学期期末数学(理)试题(已下线)高二数学下学期期末全真模拟卷(3)(考试范围:高中全部内容)-2021-2022学年高二数学下学期考试满分全攻略(人教A版2019选修第二册+第三册)(已下线)第13讲 椭圆(2)
21-22高二·全国·课后作业
解题方法
9 . 经过椭圆C:
的中心作直线l,与椭圆C交于P,Q两点,设椭圆C的右焦点为F,已知
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8098a6b57a05154a5c154c03ed96ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e29303195c563855aee4c14cbcb9bd.png)
您最近一年使用:0次
2022-03-06更新
|
731次组卷
|
4卷引用:复习题二1
21-22高二·全国·课后作业
解题方法
10 . 设椭圆
:
(
),长轴的两个端点分别为
,
,短轴的两个端点分别为
,
.
(1)证明:四边形
为菱形;
(2)若四边形
的面积为120,边长为13,求椭圆C的方程.
![](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/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
(1)证明:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e5d91f4f631c580c155eba8c92bda4.png)
(2)若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e5d91f4f631c580c155eba8c92bda4.png)
您最近一年使用:0次