1 . 平面直角坐标系中,
,
,若曲线
上存在一点
,使
,则称曲线
为“合作曲线”,有下列曲线①
;②
;③
;④
;⑤
,
其中“合作曲线”是__________ .(填写所有满足条件的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b47e7bf02b3ca16f7d96b9369e51a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5520bd24f656141b183ce10ce619873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28123e129b6426c9a5f31ad8ec2465b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f1596d3e260ec2198058d1b94ed7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87300fffa5f1a549a19222bf7ab14f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16d1b1c4f6ae3b46ce8be922bf5186a.png)
其中“合作曲线”是
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2017-11-15更新
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793次组卷
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3卷引用:河南省漯河市高级中学2018届高三上学期第三次模拟考试(期中)数学(文)试题
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2 . 曲线C是平面内到点F(0,1)和直线l:y=4的距离之和等于5的点P的轨迹.
(I)试判断点M(1,2),N(4,4)是否在曲线C上,并说明理由;
(II)求曲线C的方程,并画出其图形;
(III)给定点A(0,a),若在曲线C上恰有三对不同的点,满足每一对点关于点A对称,求实数a的取值范围.
(I)试判断点M(1,2),N(4,4)是否在曲线C上,并说明理由;
(II)求曲线C的方程,并画出其图形;
(III)给定点A(0,a),若在曲线C上恰有三对不同的点,满足每一对点关于点A对称,求实数a的取值范围.
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