函数f(x)满足f(x)•f(x+2)=13,若f(0)=2,则f(2010)=(  ) A.13 B.2 C.132 D.213

问题描述:

函数f(x)满足f(x)•f(x+2)=13,若f(0)=2,则f(2010)=(  )
A. 13
B. 2
C.

13
2

D.
2
13

f(x+2)=

13
f(x)
,∴f(x+4)=f(x).
∵2010=502×4+2,∴f(2010)=f(2)=
13
f(0)
13
2

故选C.