因?yàn)閒(xy)=f(x)f(y),
故f(0)=f(0)f(0);
又∵f(0)≠0,
∴f(0)=1,
∴f(0)=f(2009×0)=f(2009)f(0)=f(2009)=1,
故本題選C.
對(duì)所有實(shí)數(shù)x、y,若函數(shù)y=f(x)滿足f(xy)=f(x)f(y),且f(0)≠0,則f(2009)=( ?。?A.2008 B.2009 C.1 D.2
對(duì)所有實(shí)數(shù)x、y,若函數(shù)y=f(x)滿足f(xy)=f(x)f(y),且f(0)≠0,則f(2009)=( ?。?br/>A. 2008
B. 2009
C. 1
D. 2
B. 2009
C. 1
D. 2
數(shù)學(xué)人氣:687 ℃時(shí)間:2019-08-20 07:20:33
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