
高一简单数学题,求解
1个回答
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0≤x≤1, f(x) = x
f is odd
f(1+x)= -f(x)
To find : f(47.5)
Solution :
x=0.5, f(0.5) =0.5
f(47.5)
=f(2+45.5)
=-f(45.5)
=...
=...
=f(1.5)
=f(-0.5 +2)
=-f(-0.5)
=f(0.5)
=0.5
f is odd
f(1+x)= -f(x)
To find : f(47.5)
Solution :
x=0.5, f(0.5) =0.5
f(47.5)
=f(2+45.5)
=-f(45.5)
=...
=...
=f(1.5)
=f(-0.5 +2)
=-f(-0.5)
=f(0.5)
=0.5
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