2011·江苏南京·一模
解题方法
1 . 在平面直角坐标系
中,已知圆
经过
、
、
三点,其中
.
(1)求圆
的标准方程(用含
的式子表示);
(2)已知椭圆
(其中
)的左、右顶点分别为
、
,圆
与
轴的两个交点分别为
、
,且
点在
点右侧,
点在
点右侧.
①求椭圆离心率的取值范围;
②若A、B、M、O、C、D(O为坐标原点)依次均匀分布在
轴上,问直线
与直线
的交点是否在一条定直线上?若是,请求出这条定直线的方程;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be98187213d87e1ebe18bdc14c529748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a21228f5771a6008635324d6befbbdf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdcf2fcfa74ca8d55b29ec689fb6ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)已知椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb223b8777ab973970491bf0dcc6806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c919607bb38a4e157500820adf21cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
①求椭圆离心率的取值范围;
②若A、B、M、O、C、D(O为坐标原点)依次均匀分布在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c287ebedc0a13723a13748b4745343.png)
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2010高三·江苏南通·专题练习
2 . 已知椭圆
的左焦点为F,左右顶点分别为A、C,上顶点为B,过F,B,C三点作
,其中圆心P的坐标为
.
(1) 若椭圆的离心率
,求
的方程;
(2) 若
的圆心在直线
上,求椭圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec20847dd44095e016f5176de59467a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b32fa66fede362712250d4ecc7e48e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122194578b1223793b9d0031ed6b92ae.png)
(1) 若椭圆的离心率
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b33d39c640f2bef23633694fd2c261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b32fa66fede362712250d4ecc7e48e3.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b32fa66fede362712250d4ecc7e48e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c676bfce67e10d7b9bc20533b7bde82.png)
您最近一年使用:0次