已知函数f(x)=x3+(1-a)x2-a(a+2)x+b已知函数f(x)=x3+(1-a)x2-a(a+2)x+b(a,b∈R).(1)若函数f(x)的图象过原点,且在原点处的切线斜率是-3,求a,b的值;(2)若函数f(x)的区间(-1,1)上不单调,求a的取值范
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![已知函数f(x)=x3+(1-a)x2-a(a+2)x+b已知函数f(x)=x3+(1-a)x2-a(a+2)x+b(a,b∈R).(1)若函数f(x)的图象过原点,且在原点处的切线斜率是-3,求a,b的值;(2)若函数f(x)的区间(-1,1)上不单调,求a的取值范](/uploads/image/z/6843930-42-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dx3%2B%281-a%29x2-a%28a%2B2%29x%2Bb%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dx3%2B%281%EF%BC%8Da%29x2%EF%BC%8Da%28a%2B2%29x%2Bb%28a%2Cb%E2%88%88R%29%EF%BC%8E%EF%BC%881%EF%BC%89%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E5%9B%BE%E8%B1%A1%E8%BF%87%E5%8E%9F%E7%82%B9%2C%E4%B8%94%E5%9C%A8%E5%8E%9F%E7%82%B9%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%9C%E7%8E%87%E6%98%AF%EF%BC%8D3%2C%E6%B1%82a%2Cb%E7%9A%84%E5%80%BC%EF%BC%9B%EF%BC%882%EF%BC%89%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E5%8C%BA%E9%97%B4%28%EF%BC%8D1%2C1%29%E4%B8%8A%E4%B8%8D%E5%8D%95%E8%B0%83%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83)
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