题目内容
已知函数f(x)是定义在R上不恒为零的函数,且对于任意实数a,b∈R,满足:f(a·b)=af(b)+bf(a),f(2)=2,a n= 
(n∈N *),b n= 
(n∈N *). 考察下列结论: ①f(0)=f(1);②f(x)为偶函数; ③数列{a n}为等比数列; ④数列{b n}为等差数列. 其中正确的结论共有( )
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