已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678016_ST/0.png)
=(0,x),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678016_ST/1.png)
=(1,1),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678016_ST/2.png)
=(x,0),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678016_ST/3.png)
=(y
2,1)(其中x,y是实数),又设向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678016_ST/4.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678016_ST/5.png)
,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678016_ST/6.png)
,点P(x,y)的轨迹为曲线C.
(1)求曲线C的方程;
(2)设曲线C与y轴的正半轴的交点为M,过点M作一条直线l与曲线C交于另一点N,当|MN|=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678016_ST/7.png)
时,求直线 l 的方程.
考点分析:
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已知点(2,3)在双曲线C:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678014_ST/0.png)
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设F
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678013_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678013_ST/1.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678012_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678012_ST/1.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678012_ST/2.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678012_ST/3.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678012_ST/4.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678011_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212967866/SYS201310251237212129678011_ST/1.png)
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