已知抛物线y=x^2+2(m-1)x+2m-3,(1)如果抛物线与x的负半轴有两个不同的交点,求m的取值范围 (2)设(1)中抛物线与x轴的两个交点为A,B,顶点为C,如果经过A,B,C三点的圆的直径为5,求抛物线的解析式
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![已知抛物线y=x^2+2(m-1)x+2m-3,(1)如果抛物线与x的负半轴有两个不同的交点,求m的取值范围 (2)设(1)中抛物线与x轴的两个交点为A,B,顶点为C,如果经过A,B,C三点的圆的直径为5,求抛物线的解析式](/uploads/image/z/4343208-24-8.jpg?t=%E5%B7%B2%E7%9F%A5%E6%8A%9B%E7%89%A9%E7%BA%BFy%3Dx%5E2%2B2%28m-1%29x%2B2m-3%2C%281%29%E5%A6%82%E6%9E%9C%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8Ex%E7%9A%84%E8%B4%9F%E5%8D%8A%E8%BD%B4%E6%9C%89%E4%B8%A4%E4%B8%AA%E4%B8%8D%E5%90%8C%E7%9A%84%E4%BA%A4%E7%82%B9%2C%E6%B1%82m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4+%282%29%E8%AE%BE%281%29%E4%B8%AD%E6%8A%9B%E7%89%A9%E7%BA%BF%E4%B8%8Ex%E8%BD%B4%E7%9A%84%E4%B8%A4%E4%B8%AA%E4%BA%A4%E7%82%B9%E4%B8%BAA%2CB%2C%E9%A1%B6%E7%82%B9%E4%B8%BAC%2C%E5%A6%82%E6%9E%9C%E7%BB%8F%E8%BF%87A%2CB%2CC%E4%B8%89%E7%82%B9%E7%9A%84%E5%9C%86%E7%9A%84%E7%9B%B4%E5%BE%84%E4%B8%BA5%2C%E6%B1%82%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F)
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