Question

設復數(shù)z=（a²-a）+2ai（a∈R）為純虛數(shù)，則a=________．

Answer 1

1
分析：給出的復數(shù)z=（a²-a）+2ai（a∈R）為純虛數(shù)，則該復數(shù)的實部等于0且虛部不等于0，然后列式計算a的值．
解答：由復數(shù)z=（a²-a）+2ai（a∈R）為純虛數(shù)，則，解得：a=1．
故答案為1．
點評：本題考查了復數(shù)的基本概念，復數(shù)為純虛數(shù)的充要條件是實部等于0且虛部不等于0，此題是基礎題．