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

若x∈R,f(x)满足f(x*y)=f(x)+f(y),则f(x)的奇偶性 f(x)满足f(1)=1/4 4f(x)f(y)=f(x+y)+f(x-y) (x ,y属于R)则 f(2010)=? 已知函数f(x)对于任意实数xy 满足f(x+y)=f(x)+f(y).求证f(x-y)=f(x)-f(y) f(x)=y满足f(xy)=f(x)+f(y)求f(1),f(-1) y=f(x)满足f(3+x)(3 已知函数f(x)满足f(x+y)+f(x-y)=2f(x)×f（y）,且f(0)≠0,证明f(x)是偶函数 x∈R,F(x)满足F(xy)=F(x)+F(y),证明F(x)为偶函数 如何证明? y=f(f(f(x))) 求导 f(x)满足f(x+y)+f(xy)=2f(x)f(y)求函数的奇偶性 函数f(x) 满足关系f(xy)=f(x)+f(y),x,y属于R,求f(1); 函数f(x)满足关系f(xy)=f(x)*f(y)(x,y属于R）求f(1) f(xy)=f(x)+f(y),证明f(x/y)=f(x)-f(y) 已知函数f(x)满足：f(1)=1/4,4f(x)f(y)=f(x+y)+f(x-y),则f(2015)= 已知函数f(x)满足,f(1)=0.25,4f(x)f(y)=f(x+y)+f(x-y) 则f（2010）= 已知f(x)满足f(1)=1/4 ,4f(x)f(y)=f(x+y)+f(x-y) .求f(2010)=____? 已知函数f(x)满足f(2)=1/2,2f(x)f(y)=f(x+y)+f(x-y),则f(2012)=? 已知函数f(x)满足f(1)=1/4,f(x)+f(y)=4f(x+y/2)*f(x-y/2)则f(-2011)=? 已知函数f(x)满足:f(1)=0,f(x)f(y)=f(x+y)+f(x-y),则f(2014)=