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问题: 请教一道数学题

解答:

f(x)=[(cosx-3)cosx]+[sinx(sinx-3)]
=1 -3(cosx+sinx)
=1 -(3√2)sin(x +π/4)
f(x)=-1
==>-(3√2)sin(x +π/4) =2
sin(x +π/4)= -(√2)/3
与 x∈(π/4,π/2),矛盾.............