函数f(x)=alnx-ax-3,若函数y=f(x)的图像在点(2,f(2))处的切线的倾斜角为45°,对于任意t∈[1,2],函数g(x)=x^3+x^2[f'(x)+m/2]在区间(t,3)上总不是单调函数,求m的取值范围
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![函数f(x)=alnx-ax-3,若函数y=f(x)的图像在点(2,f(2))处的切线的倾斜角为45°,对于任意t∈[1,2],函数g(x)=x^3+x^2[f'(x)+m/2]在区间(t,3)上总不是单调函数,求m的取值范围](/uploads/image/z/5438989-37-9.jpg?t=%E5%87%BD%E6%95%B0f%28x%29%3Dalnx-ax-3%2C%E8%8B%A5%E5%87%BD%E6%95%B0y%3Df%28x%29%E7%9A%84%E5%9B%BE%E5%83%8F%E5%9C%A8%E7%82%B9%EF%BC%882%2Cf%EF%BC%882%EF%BC%89%EF%BC%89%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E7%9A%84%E5%80%BE%E6%96%9C%E8%A7%92%E4%B8%BA45%C2%B0%2C%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8Ft%E2%88%88%5B1%2C2%5D%2C%E5%87%BD%E6%95%B0g%EF%BC%88x%EF%BC%89%3Dx%5E3%2Bx%5E2%5Bf%27%28x%29%2Bm%2F2%5D%E5%9C%A8%E5%8C%BA%E9%97%B4%EF%BC%88t%2C3%EF%BC%89%E4%B8%8A%E6%80%BB%E4%B8%8D%E6%98%AF%E5%8D%95%E8%B0%83%E5%87%BD%E6%95%B0%2C%E6%B1%82m%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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