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已知抛物线C：y 2 =2px（p＞0）的焦点F和椭圆 x 2 4 + y 2 3 =1 的右焦点重合． （1）求抛物线C的方程，并求其准线方程； （2）设P（1，2），是否存在平行于OP（O为坐标原点）的直线l，使得直线l与抛物线C有公共点，且直线OP与l的距离等于 5 5 ？若存在，求出直线l的方程；若不存在，说明理由．
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