f(x)满足F(x+y)=f(x)+F(y)+2xy,若f(1)=2,求f(-3)值

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f(x)满足F(x+y)=f(x)+F(y)+2xy,若f(1)=2,求f(-3)值
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f(x)满足F(x+y)=f(x)+F(y)+2xy,若f(1)=2,求f(-3)值
f(x)满足F(x+y)=f(x)+F(y)+2xy,若f(1)=2,求f(-3)值

f(x)满足F(x+y)=f(x)+F(y)+2xy,若f(1)=2,求f(-3)值
取 y=1,则 f(x+1)=f(x)+f(1)+2x=f(x)+2+2x
所以 f(x)=f(x+1)-2x-2
f(0)=f(1)-2=0
f(-1)=f(0)+2-2=0
f(-2)=f(-1)+4-2=2
f(-3)=f(-2)+6-2=6

-6吧