1 . 已知曲线C:
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3abd48b616fb21dbc50c96c49c9b291e.png)
A.存在m,使C表示圆 |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.当C表示双曲线时,则![]() ![]() |
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2 . 已知椭圆
:
(
).
(1)若椭圆
的焦距为6,求
的值;
(2)设
,若椭圆
上两点M,N满足
,求点N横坐标取最大值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6e9badea4fda62bdbfa1ae44107fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
(1)若椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22840186db0afc0e2b2e8915ce79b998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d5450b9ec0e906919efbb87e5a9e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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3 . 若直线
经过椭圆的一个焦点和一个顶点,则该椭圆的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18feaed4f3dd7698210ba302c81dca6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知圆
与坐标轴的交点为
,点P为椭圆
上一点,若
,则点P到
轴的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93fa8dde646dd7ebd481ec663c47e1b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 曲线
的焦距为4,则实数m的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd41c8a7115a191ee6486bd89dec83f9.png)
A.15 | B.5 | C.3 | D.![]() |
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6 . 椭圆
的右焦点到直线
的距离是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
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7 . 与椭圆C:
共焦点且过点
的双曲线的标准方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5f4493abd2b69f83eae0362c509f1a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 在平面直角坐标系
中,已知
,
分别为曲线
(
且
)的左、右焦点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/9bdc8436f8d8ea33cd0cc03c0a406829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e95aa27511bf7b9203025aa3243565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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9 . 椭圆
的焦点坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d856cc32b6bfe930328d9b6bf75fe5cd.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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10 . 已知椭圆
的焦距为4,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f3e6d607f4023f52652013eaf5a980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.4 | C.![]() | D.![]() |
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