已知抛物线Y=aX^2+bX+C的顶点坐标为(4,-1),与Y轴交点C(0,3),O是原点(1)求这条抛物线的解析式(2)设此抛物线与X轴的焦点为A,B(A在B的左边),问Y轴上是否存在点P,使OBP为顶点的三角形与△AOC相似?若存
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![已知抛物线Y=aX^2+bX+C的顶点坐标为(4,-1),与Y轴交点C(0,3),O是原点(1)求这条抛物线的解析式(2)设此抛物线与X轴的焦点为A,B(A在B的左边),问Y轴上是否存在点P,使OBP为顶点的三角形与△AOC相似?若存](/uploads/image/z/5398866-18-6.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFY%3DaX%5E2%2BbX%2BC%E7%9A%84%E9%A1%B6%E7%82%B9%E5%9D%90%E6%A0%87%E4%B8%BA%284%2C%EF%BC%8D1%29%2C%E4%B8%8EY%E8%BD%B4%E4%BA%A4%E7%82%B9C%280%2C3%29%2CO%E6%98%AF%E5%8E%9F%E7%82%B9%281%29%E6%B1%82%E8%BF%99%E6%9D%A1%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%282%29%E8%AE%BE%E6%AD%A4%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8EX%E8%BD%B4%E7%9A%84%E7%84%A6%E7%82%B9%E4%B8%BAA%2CB%28A%E5%9C%A8B%E7%9A%84%E5%B7%A6%E8%BE%B9%29%2C%E9%97%AEY%E8%BD%B4%E4%B8%8A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E7%82%B9P%2C%E4%BD%BFOBP%E4%B8%BA%E9%A1%B6%E7%82%B9%E7%9A%84%E4%B8%89%E8%A7%92%E5%BD%A2%E4%B8%8E%E2%96%B3AOC%E7%9B%B8%E4%BC%BC%3F%E8%8B%A5%E5%AD%98)
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