1 . 已知点
是圆
上任意一点,点
与点
关于原点对称.线段
的中垂线
分别与
交于
两点.
(1)求点
的轨迹
的方程;
(2)斜率为1的直线
与曲线
交于
两点,若
(
为坐标原点),求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdc28de4b46c7a176ba6858a856a918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587662afaaecad25c6f5f9e5e7ff28b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)斜率为1的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72452cc769db86489edfd6bd0ec45fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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12-13高三上·山东聊城·期末
2 . 如图,椭圆的方程为
,其右焦点为F,把椭圆的长轴分成6等分,过每个等分点作x轴的垂线交椭圆上半部于点P1,P2,P3,P4,P5五个点,且|P1F|+|P2F|+|P3F|+|P4F|+|P5F|=5
.
![](https://img.xkw.com/dksih/QBM/2012/2/9/1570724484481024/1570724490035200/STEM/6097699b4ad343a6be5cb0d7638700f6.png?resizew=328)
(1)求椭圆的方程;
(2)设直线l过F点(l不垂直坐标轴),且与椭圆交于A、B两点,线段AB的垂直平分线交x轴于点M(m,0),试求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ca35745ecb1d7bec5948767857a4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2012/2/9/1570724484481024/1570724490035200/STEM/6097699b4ad343a6be5cb0d7638700f6.png?resizew=328)
(1)求椭圆的方程;
(2)设直线l过F点(l不垂直坐标轴),且与椭圆交于A、B两点,线段AB的垂直平分线交x轴于点M(m,0),试求m的取值范围.
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