如图,抛物线y=ax^+bx+c经过A(-1,0)、B(3,0)、C(0,3)三点,对称轴与抛物线相交于点P ,与直线BC相交于点M,连接PB.(1)抛物线上是否存在一点Q,使△QMB与△PMB的面积相等?若存在,求点Q的坐标;
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![如图,抛物线y=ax^+bx+c经过A(-1,0)、B(3,0)、C(0,3)三点,对称轴与抛物线相交于点P ,与直线BC相交于点M,连接PB.(1)抛物线上是否存在一点Q,使△QMB与△PMB的面积相等?若存在,求点Q的坐标;](/uploads/image/z/1331833-49-3.jpg?t=%E5%A6%82%E5%9B%BE%2C%E6%8A%9B%E7%89%A9%E7%BA%BFy%3Dax%5E%2Bbx%2Bc%E7%BB%8F%E8%BF%87A%EF%BC%88-1%2C0%EF%BC%89%E3%80%81B%EF%BC%883%2C0%EF%BC%89%E3%80%81C%EF%BC%880%2C3%EF%BC%89%E4%B8%89%E7%82%B9%2C%E5%AF%B9%E7%A7%B0%E8%BD%B4%E4%B8%8E%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9P+%2C%E4%B8%8E%E7%9B%B4%E7%BA%BFBC%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9M%2C%E8%BF%9E%E6%8E%A5PB.%EF%BC%881%EF%BC%89%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E4%B8%80%E7%82%B9Q%2C%E4%BD%BF%E2%96%B3QMB%E4%B8%8E%E2%96%B3PMB%E7%9A%84%E9%9D%A2%E7%A7%AF%E7%9B%B8%E7%AD%89%3F%E8%8B%A5%E5%AD%98%E5%9C%A8%2C%E6%B1%82%E7%82%B9Q%E7%9A%84%E5%9D%90%E6%A0%87%EF%BC%9B)
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