设函数y=f(x)(x∈R且x≠0)对任意非零实数x1和x2满足f(x1乘x2)=f(x1)+f(x2),求证f(x)是
设函数y=f(x)(x∈R,且x≠0)对任意非零实数x1,x2,满足f(x1)+f(x2)=f(x1x2)
设函数y=f(x)(x属于R,且x不等于0),对任意非零实数x1,x2.满足f(x1)+f(x2)=f(x1x2)
设函数y=f(x)对任意非零实数x1,x2满足f(x1x2)=f(x1)+f(x2)
设y=f(x)(x∈R)对任意实数x1x2,满足f(x1)+f(x2)=f(x1*x2)求证f(1)=f(-1)=0和f
已知函数y=f (x)(x∈R,x≠0)对任意的非零实数x1,x2,恒有f(x1x2)=f(x1)+f(x2),试判断f
已知二次函数f(x)=ax²+bx+c,对任意x1,x2∈R,x1<x2,且f(x1)≠f(x2),求证:关于
定义在R上的函数f(x) (f(x)≠0)满足:对任意实数x1,x2,总有f(x1+x2)=f(x1)f(x2),且x>
已知函数y=f (x)(x∈R,x≠0)对任意的非零实数x1,x2,恒有f(x1x2)=f(x1)+f(x2)
(1)定义在R上的函数f(x)(f(x)≠0)满足:对任意实数x1,x2,总有f(x1+x2)=f(x1)f(x2),且
设y=f(x)(x∈R且x≠0)时任意非0 x1和x2有f(x1x2)=f(x1)+f(x2)求证:
已知函数f(x)定义域为{x|x≠0,x∈R}},对定义域的任意x1,x2都有f(x1乘x2)=f(x1)+f(x2)且
函数F(X),X属于R,若对于任意实数X1,X2,都有F(X1+X2)+F(X1-X2)=2F(X1)乘F(X2),求证