Question

设 f(X)是（-∞,+∞） 上的奇函数,f(x+2)=-f(x) ,当0 ≤x≤1时,f(x)=x ,则f(3.5)

Answer 1

f(3.5)

=f(2+1.5)

=-f(1.5)

=-f(2-0.5)

=-[-f(-0.5)]

=f(-0.5)

当0 ≤x≤1时,f(x)=x

f(x)是奇函数则f(x)=f(-x)

f3.5)=f(-0.5)=-f(0.5)=-0.5