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1 . 已知椭圆的方程为
,则它的焦点坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929070fe8b66d57fcfb19ec2b70218d3.png)
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2 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4369deb33be7c83ec37409f98ba8ba57.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4369deb33be7c83ec37409f98ba8ba57.png)
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3 . 如图,直线
是曲线
在点(5,6)处的切线,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d2325bee8bed80ada6417d4a12cad3.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d2325bee8bed80ada6417d4a12cad3.png)
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4 . 设函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b75a0e2b34489ba51328d1b30e7ee0.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b75a0e2b34489ba51328d1b30e7ee0.png)
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5 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab62dd491324c5b02c60d9d69688b4a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc09632dc66ec6105282539aa454fc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab62dd491324c5b02c60d9d69688b4a.png)
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6 . 椭圆
的离心率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914075a4574c09bdb860d8f8f09a4e7a.png)
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7 . 椭圆
的焦点
的坐标为_____ ,若
为椭圆上任意一点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53836c455d2f63d7ad643dcead96e00.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89c03d164b45b7e9d3426efa62eb33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48932773034bb6e1651acf140d47822c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53836c455d2f63d7ad643dcead96e00.png)
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8 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d73bb75b197203cd0bd5a6e12aaf4a3.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46ccef5ddef05f2aa8ab837d05b3dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d73bb75b197203cd0bd5a6e12aaf4a3.png)
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9 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ca68753acc683eb66f92d0156b5026.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7f9b35017daa8b524c5717a355834a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ca68753acc683eb66f92d0156b5026.png)
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10 . 如果双曲线关于原点对称,它的焦点在
轴上,实轴的长为8,焦距为10.则双曲线的标准方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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