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问题: f(x)

若f(x)=tan(x+π/4),则( )
A.f(-1)>f(0)>f(1) B.f(0)>f(1)>f(-1) C.f(1)>f(0)>f(-1) D.f(0)>f(-1)>f(1)

解答:

若f(x)=tan(x+π/4),则( )

f(x)=tan(x+π/4)
∵π/4<1<π/2--->π/2<1+π/4<3π/4。-π/4<-1+π/4<0
--->tan(π/4)>0>tan(-1+π/4)>-1>tan(1+π/4)
即:f(0)>0>f(-1)>-1>f(1) .........D