设函数y=f(x)定义在R上,对于任意实数m,n,恒有f(m+n)=f(m)•f(n),且当x>0时,0<f(x)<1
(1)求证:f(0)=1且当x<0时,f(x)>1
(2)求证:f(x)在R上是减函数;
(3)设集合A=(x,y)|f(-x
2+6x-1)•f(y)=1,B=(x,y)|y=a,
且A∩B=∅,求实数a的取值范围.
考点分析:
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