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解题方法
1 . 求适合下列条件的圆锥曲线的标准方程:
(1)求椭圆的标准方程:以点
,
为焦点,经过点
.
(2)已知抛物线
的焦点为
,点
在抛物线
上,且
,求抛物线
的标准方程.
(3)求双曲线的标准方程:经过点
,
.
(1)求椭圆的标准方程:以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9bece414af7ecb2d796dc8a6f549e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e62a44b8712ce4483b8710cda0dc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f447a519cac092901b07a8fde7d20622.png)
(2)已知抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e913695392a4b3b3342a7a295643014a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(3)求双曲线的标准方程:经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a47edc7965aac2f31c095636373a1919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458513bd49350a7c0e8840f4387dbd02.png)
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2023-09-11更新
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234次组卷
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4卷引用:专题3.3 抛物线(6个考点十大题型)(1)