【单选题】【消耗次数:1】
完全积性函数f(n)满足对于任意整数m,n都有[填空].
f(mn)=f(m)f(n)
f(mn)=f(m)+f(n)
f(m+n)=f(m)f(n)
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【单选题】 积性函数f(n)满足对于任意的互素的整数m,n都有[填空].
①  f(mn)=f(m)f(n)
②  f(mn)=f(m)+f(n)
③  f(m+n)=f(m)f(n)
【多选题】 设函数f: N?N′N, f(x)=,则它是:
①  满射;
②  单射;
③  双射;
④  函数.
【单选题】 设M={x|f1(x)=0},N={x|f2(x)=0},则方程f1(x)·f2(x)=0的解为(   )
①  M∩N
②  M∪N
③  MN
④  M-N
【判断题】 设m,n?N,(m,n)=1,则j(mn) = j(m)j(n).
①  正确
②  错误
【多选题】 设函数f: N?N, f(x)=2x+1,则它是:
①  满射;
②  单射;
③  双射;
④  函数.
【单选题】 若f(n)是不恒为零的完全积性函数,则f(1)=[填空].
①  0
②  1
③  2
【单选题】 若f(n)是不恒为零的积性函数,则f(1)=[填空].
①  0
②  1
③  2
【多选题】 设函数f: Z?N, f(x)=|x|,则它是:
①  满射;
②  单射;
③  双射;
④  函数.
【多选题】 设函数f: N?N, f(x) = (x)mod 3, x 除以 3 的余数,则它不是:
①  满射;
②  单射;
③  双射;
④  函数.
【简答题】 设函数f: N?N, f(x)=2x+1,试求其单满双射性质。
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