如图1,抛物线y=-x²+bx+c的顶点为Q,与x轴交于A(-1,0)、B(5,0)两点,与y轴交于点C.(1)求抛物线的解析式及其顶点Q的坐标;(2)在该抛物线的对称轴上求一点P,使得△PAC的周长最小.请在图中
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![如图1,抛物线y=-x²+bx+c的顶点为Q,与x轴交于A(-1,0)、B(5,0)两点,与y轴交于点C.(1)求抛物线的解析式及其顶点Q的坐标;(2)在该抛物线的对称轴上求一点P,使得△PAC的周长最小.请在图中](/uploads/image/z/1332023-23-3.jpg?t=%E5%A6%82%E5%9B%BE1%2C%E6%8A%9B%E7%89%A9%E7%BA%BFy%3D-x%26%23178%3B%2Bbx%2Bc%E7%9A%84%E9%A1%B6%E7%82%B9%E4%B8%BAQ%2C%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E4%BA%8EA%28-1%2C0%29%E3%80%81B%EF%BC%885%2C0%EF%BC%89%E4%B8%A4%E7%82%B9%2C%E4%B8%8Ey%E8%BD%B4%E4%BA%A4%E4%BA%8E%E7%82%B9C.%EF%BC%881%EF%BC%89%E6%B1%82%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%E5%8F%8A%E5%85%B6%E9%A1%B6%E7%82%B9Q%E7%9A%84%E5%9D%90%E6%A0%87%EF%BC%9B%EF%BC%882%EF%BC%89%E5%9C%A8%E8%AF%A5%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E5%AF%B9%E7%A7%B0%E8%BD%B4%E4%B8%8A%E6%B1%82%E4%B8%80%E7%82%B9P%2C%E4%BD%BF%E5%BE%97%E2%96%B3PAC%E7%9A%84%E5%91%A8%E9%95%BF%E6%9C%80%E5%B0%8F.%E8%AF%B7%E5%9C%A8%E5%9B%BE%E4%B8%AD)
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