已知f(x)=x³+bx²+cx+d在(-∞,0]上是增函数,在,已知f(x)=x³+bx²+cx+d在(-∞,0]上是增函数,在[0,2]上是减函数,且f(x)=0有三个根α,2,β(α≤2≤β) ①求c值,及b,.d的取值范围 ②求证:f(1)≥2
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![已知f(x)=x³+bx²+cx+d在(-∞,0]上是增函数,在,已知f(x)=x³+bx²+cx+d在(-∞,0]上是增函数,在[0,2]上是减函数,且f(x)=0有三个根α,2,β(α≤2≤β) ①求c值,及b,.d的取值范围 ②求证:f(1)≥2](/uploads/image/z/7111317-21-7.jpg?t=%E5%B7%B2%E7%9F%A5f%28x%29%3Dx%26sup3%3B%2Bbx%26sup2%3B%2Bcx%2Bd%E5%9C%A8%EF%BC%88-%E2%88%9E%2C0%5D%E4%B8%8A%E6%98%AF%E5%A2%9E%E5%87%BD%E6%95%B0%2C%E5%9C%A8%2C%E5%B7%B2%E7%9F%A5f%28x%29%3Dx%26sup3%3B%2Bbx%26sup2%3B%2Bcx%2Bd%E5%9C%A8%EF%BC%88-%E2%88%9E%2C0%5D%E4%B8%8A%E6%98%AF%E5%A2%9E%E5%87%BD%E6%95%B0%2C%E5%9C%A8%5B0%2C2%5D%E4%B8%8A%E6%98%AF%E5%87%8F%E5%87%BD%E6%95%B0%2C%E4%B8%94f%28x%29%3D0%E6%9C%89%E4%B8%89%E4%B8%AA%E6%A0%B9%CE%B1%2C2%2C%CE%B2%EF%BC%88%CE%B1%E2%89%A42%E2%89%A4%CE%B2%EF%BC%89+%E2%91%A0%E6%B1%82c%E5%80%BC%2C%E5%8F%8Ab%2C.d%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4+%E2%91%A1%E6%B1%82%E8%AF%81%EF%BC%9Af%281%29%E2%89%A52)
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