1 . 已知椭圆
若四边形
四个顶点在椭圆
上,则称四边形
为椭圆的内接四边形
椭圆
的内接四边形可以是平行四边形、菱形(顶点不在椭圆顶点处)、矩形(边不与椭圆对称轴平行)吗
请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07af2f550825302f3a0c85ea6f07ac71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e1d0f65817ba32a732040518f41440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bbee662e242611afdbdae4b8a36a7c.png)
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名校
解题方法
2 . 过椭圆
的中心任作一直线交椭圆于P,Q两点,
,
是椭圆的左、右焦点,A,B是椭圆的左、右顶点,则下列说法正确的是( )
![](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)
A.![]() |
B.四边形![]() |
C.若直线PA斜率的取值范围是![]() ![]() |
D.![]() |
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2022-06-14更新
|
3999次组卷
|
8卷引用:2022年全国新高考II卷仿真模拟试卷(二)数学试题
2022年全国新高考II卷仿真模拟试卷(二)数学试题(已下线)专题27 椭圆(讲义)-2023年高考一轮复习精讲精练宝典(新高考专用)第二章 平面解析几何章末检测(能力篇)(已下线)专题23 圆锥曲线中的最值、范围问题 微点3 圆锥曲线中的最值、范围问题综合训练(已下线)考向32 椭圆(重点)湖北省潜江市园林高级中学2022-2023学年高二上学期期中数学试题贵州省铜仁市2022-2023学年高二上学期1月期末质量监测数学试题福建省福州高级中学2023-2024学年高二上学期期中考试数学试题
解题方法
3 . 已知
是椭圆
的两个焦点坐标,
是椭圆
上的一个定点,
是椭圆
上的两点,点
的坐标为
.
![](https://img.xkw.com/dksih/QBM/2022/4/29/2968712640217088/2968854119260160/STEM/a4ed759b4dbb41a2a8d4a93242f32ef3.png?resizew=189)
(1)求椭圆
的方程;
(2)当
两点关于
轴对称,且
为等边三角形时,求
的长;
(3)当
两点不关于
轴对称时,证明:△
不可能为等边三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f393d91d36d6e54e8da54eb7df0429e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5795873a3546820b08ce85aadfe0222.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://img.xkw.com/dksih/QBM/2022/4/29/2968712640217088/2968854119260160/STEM/a4ed759b4dbb41a2a8d4a93242f32ef3.png?resizew=189)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a11cb104b04c4e6a1be700e81da279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/726dafd729b858ae0c8b68c1c828b666.png)
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