已知f(x)=ax³+bx²+cx+d是定义在R上的函数,其图像交x轴于A、B、C三点,若点B的坐标为(2,0),且f(x)在区间[-1,0]和[4,5]上有相同的单调性,在区间[0,2]和[4,5]上有相反的单调性.(1)求c的值.(2)在函数f(x
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![已知f(x)=ax³+bx²+cx+d是定义在R上的函数,其图像交x轴于A、B、C三点,若点B的坐标为(2,0),且f(x)在区间[-1,0]和[4,5]上有相同的单调性,在区间[0,2]和[4,5]上有相反的单调性.(1)求c的值.(2)在函数f(x](/uploads/image/z/1331904-48-4.jpg?t=%E5%B7%B2%E7%9F%A5f%28x%29%3Dax%26%23179%3B%2Bbx%26%23178%3B%2Bcx%2Bd%E6%98%AF%E5%AE%9A%E4%B9%89%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%87%BD%E6%95%B0%2C%E5%85%B6%E5%9B%BE%E5%83%8F%E4%BA%A4x%E8%BD%B4%E4%BA%8EA%E3%80%81B%E3%80%81C%E4%B8%89%E7%82%B9%2C%E8%8B%A5%E7%82%B9B%E7%9A%84%E5%9D%90%E6%A0%87%E4%B8%BA%282%2C0%29%2C%E4%B8%94f%28x%29%E5%9C%A8%E5%8C%BA%E9%97%B4%5B-1%2C0%5D%E5%92%8C%5B4%2C5%5D%E4%B8%8A%E6%9C%89%E7%9B%B8%E5%90%8C%E7%9A%84%E5%8D%95%E8%B0%83%E6%80%A7%2C%E5%9C%A8%E5%8C%BA%E9%97%B4%5B0%2C2%5D%E5%92%8C%5B4%2C5%5D%E4%B8%8A%E6%9C%89%E7%9B%B8%E5%8F%8D%E7%9A%84%E5%8D%95%E8%B0%83%E6%80%A7.%281%29%E6%B1%82c%E7%9A%84%E5%80%BC.%282%29%E5%9C%A8%E5%87%BD%E6%95%B0f%28x)
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