题目内容
设f(x)是(-∞,+∞)上的奇函数,f(x+2)=-f(x),当0≤x≤1时,f(x)=x,则f(7 5)等于( )
A.0.5 | B.-0.5 | C. 1.5 | D.-1.5 |
B
f(7.5)=f(5.5+2)=-f(5.5)=-f(3.5+2)=f(3.5)=f(1.5+2)
=-f(1.5)=-f(-0.5+2)=f(-0.5)=-f(0.5)=-0.5.
=-f(1.5)=-f(-0.5+2)=f(-0.5)=-f(0.5)=-0.5.
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