已知曲线f(x)=x^3+bx^2+cx在点A(-1,f(-1)),B(3,f(3))处的切线互相平行,且函数f(x)的一个极值点为x=0(1)求实数b、c的值(2)若函数y=f(x)(x∈【-1/2,3】的图像与直线y=m恰有三个交点,求实数m的取值范围
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![已知曲线f(x)=x^3+bx^2+cx在点A(-1,f(-1)),B(3,f(3))处的切线互相平行,且函数f(x)的一个极值点为x=0(1)求实数b、c的值(2)若函数y=f(x)(x∈【-1/2,3】的图像与直线y=m恰有三个交点,求实数m的取值范围](/uploads/image/z/7793560-64-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%9B%B2%E7%BA%BFf%28x%29%3Dx%5E3%2Bbx%5E2%2Bcx%E5%9C%A8%E7%82%B9A%28-1%2Cf%28-1%29%29%2CB%283%2Cf%283%29%29%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E4%BA%92%E7%9B%B8%E5%B9%B3%E8%A1%8C%2C%E4%B8%94%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E4%B8%80%E4%B8%AA%E6%9E%81%E5%80%BC%E7%82%B9%E4%B8%BAx%3D0%EF%BC%881%EF%BC%89%E6%B1%82%E5%AE%9E%E6%95%B0b%E3%80%81c%E7%9A%84%E5%80%BC%EF%BC%882%EF%BC%89%E8%8B%A5%E5%87%BD%E6%95%B0y%3Df%28x%29%28x%E2%88%88%E3%80%90-1%2F2%2C3%E3%80%91%E7%9A%84%E5%9B%BE%E5%83%8F%E4%B8%8E%E7%9B%B4%E7%BA%BFy%3Dm%E6%81%B0%E6%9C%89%E4%B8%89%E4%B8%AA%E4%BA%A4%E7%82%B9%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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