1 . 在椭圆
中,其所有外切矩形的顶点在一个定圆
上,称此圆为该椭圆的蒙日圆.该圆由法国数学家
Monge(1746-1818)最先发现.若椭圆
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50b199e5c20e24fc9a622df9deeabe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c20e0c9191c8a73cd34b3c7702bd243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ddaa027ce520c1c035399c3674bf39.png)
A.椭圆![]() |
B.椭圆![]() |
C.点![]() ![]() ![]() ![]() ![]() ![]() |
D.若椭圆![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-11-22更新
|
1477次组卷
|
5卷引用:福建省南平市浦城第一中学2023-2024学年高二上学期期中数学试题
名校
2 . 如图,在
中,
,
,
,设点
在
上的射影为
,将
绕边
任意转动,则有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/a1502463-82cc-4f0d-9b36-35309f0630b3.png?resizew=297)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ed15020c1c669e06a3a3b1557242e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9934483d3f6ceb7fd9f6ea8a2747940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/a1502463-82cc-4f0d-9b36-35309f0630b3.png?resizew=297)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2022-07-07更新
|
1828次组卷
|
5卷引用:福建省南安市龙泉中学2023届高三A班上学期数学(理)试题(7)
3 . 已知双曲线
的左右顶点分别是
,右焦点
,过
垂直于
轴的直线
交双曲线于
两点,
为直线
上的点,当
的外接圆面积达到最小时,点
恰好落在
(或
)处,则双曲线的离心率是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d7dd733fe8e8d7bdbe1b8190cfdf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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