抛物线y=-x平方+bx+c与x轴交于点A(-1,0)和B(3,0),与y轴 交于点C(0,3).抛物线的顶点为E,EF垂直X轴于F点,M(M,0)是X轴上一动点,N是线段EF上一点,若角MNC=90度,指出M的变化范围.
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![抛物线y=-x平方+bx+c与x轴交于点A(-1,0)和B(3,0),与y轴 交于点C(0,3).抛物线的顶点为E,EF垂直X轴于F点,M(M,0)是X轴上一动点,N是线段EF上一点,若角MNC=90度,指出M的变化范围.](/uploads/image/z/1660687-7-7.jpg?t=%E6%8A%9B%E7%89%A9%E7%BA%BFy%EF%BC%9D%EF%BC%8Dx%E5%B9%B3%E6%96%B9%EF%BC%8Bbx%EF%BC%8Bc%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E4%BA%8E%E7%82%B9A%EF%BC%88%EF%BC%8D1%2C0%EF%BC%89%E5%92%8CB%EF%BC%883%2C0%EF%BC%89%2C%E4%B8%8Ey%E8%BD%B4+%E4%BA%A4%E4%BA%8E%E7%82%B9C%EF%BC%880%2C3%EF%BC%89.%E6%8A%9B%E7%89%A9%E7%BA%BF%E7%9A%84%E9%A1%B6%E7%82%B9%E4%B8%BAE%2CEF%E5%9E%82%E7%9B%B4X%E8%BD%B4%E4%BA%8EF%E7%82%B9%2CM%EF%BC%88M%2C0%29%E6%98%AFX%E8%BD%B4%E4%B8%8A%E4%B8%80%E5%8A%A8%E7%82%B9%2CN%E6%98%AF%E7%BA%BF%E6%AE%B5EF%E4%B8%8A%E4%B8%80%E7%82%B9%2C%E8%8B%A5%E8%A7%92MNC%3D90%E5%BA%A6%2C%E6%8C%87%E5%87%BAM%E7%9A%84%E5%8F%98%E5%8C%96%E8%8C%83%E5%9B%B4.)
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