f(x)满足f(x+y)=f(x)+f(y)+2xy,(x,y属于R),f(1)=2,则f(-3)等于多少 .
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f(x)满足f(x+y)=f(x)+f(y)+2xy,(x,y属于R),f(1)=2,则f(-3)等于多少 .
![f(x)满足f(x+y)=f(x)+f(y)+2xy,(x,y属于R),f(1)=2,则f(-3)等于多少 .](/uploads/image/z/18672833-65-3.jpg?t=f%28x%29%E6%BB%A1%E8%B6%B3f%28x%2By%29%3Df%28x%29%2Bf%28y%29%2B2xy%2C%28x%2Cy%E5%B1%9E%E4%BA%8ER%29%2Cf%281%29%3D2%2C%E5%88%99f%28-3%29%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91+.)
f(2)=f(1)+f(1)+2*1*1=6
f(3)=f(1+2)=f(1)+f(2)+2*1*2=2+6+4=12
f(1)=f(1+0)=f(1)+f(0)+2*0*1=2可知:f(0)=0
f(-3+3)=f(0)=0
又:f(-3+3)=f(-3)+f(3)+2*3*(-3)=12+f(-3)-18=0
f(-3)=6
f(3)=f(1+2)=f(1)+f(2)+2*1*2=2+6+4=12
f(1)=f(1+0)=f(1)+f(0)+2*0*1=2可知:f(0)=0
f(-3+3)=f(0)=0
又:f(-3+3)=f(-3)+f(3)+2*3*(-3)=12+f(-3)-18=0
f(-3)=6
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