Question

F(X+3)=1/F(X)推导到F(X+6)=F(X),类似可得结论

Answer 1

F(X+6)=F[(X+3)+3]

令Y=X+3,则 X+6=Y+3

F(Y+3)=1/F(Y)=1/F(X+3)

即F(X+6)=1/F(X+3)

又 F(X+3)=1/F(X)

所以 1/F(X+3)=F(X)

即 F(X+6)=F(X)