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#2d6d5c95-4ac1-494e-b3bf-16d9a9496376中等解答题导数压轴题常见模型导数及其应用

9.已知函数f(x)=x2+πcosxf(x)=x^{2}+\pi \cos x
(1)求函数f(x)f(x)的最小值;
(2)若函数g(x)=f(x)ag(x)=f(x)-a(0,+)(0,+\infty )上有两个零点x1x_{1}x2x_{2},且x1<x2x_{1}<x_{2},求证:x1+x2<πx_{1}+x_{2}<\pi