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如图.
如图.
如图.
(1)
f(x)=x^2-x+b,且f[log2(a)]=b
∴log2 a)^2-log2 a +b=b
log2 a(log2 a-1)=0,a≠1
∴a=2
log2 [f(a)]=2,即log2 f(2)=2
log2 (2+b)=2,
∴b=2
f(log2 x)=(log2 x)^2-log2 x+2
=(log2 x-0.5)^2+7/4
当log2 x=0.5,x=√2时,f(log2 x)取最小值7/4
(2)
f(log2 x)>f(1)
即(log2 x)^2-log2 x+2>2
log2 x>2 或log2 x2或0