对于一切实数X,Y,函数f(x)满足f(xy)=f(X)f(y) 且f(0)不等于0,求f(2010)
人气:393 ℃ 时间:2019-08-18 09:25:44
解答
f(0*0)=f(0)*f(0),f(0)不等于0,即f(0)=1
f(0*2010)=f(0)*f(2010)
则 f(0)=f(0)*f(2010)
即 f(2010)=1
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