- 题题题已知函数f(x)满足f(a+b)=f(a)*f(b),(a
- 已知f(x)满足f(a+b)=f(a)*f(b),(a,b∈R)切f(1)=2,则f(2)/f(1) +f(3)/f(2) +f(4)/f(3) +f(5)/f(4)的值为？
- ∵ f(a+b)/f(a)=f(b), ∴ f(1+1)/f(1)=f(1), f(2+1)/f(2)=f(1),
f(3+1)/f(3)=f(1), f(4+1)/f(4)=f(1),
∴ f(2)/f(1) +f(3)/f(2) +f(4)/f(3) +f(5)/f(4)=f(1)+f(1)+f(1)+f(1)=4×2=8