首先若a-1>=2a+1,即a<=-2, 则A为空集,满足。若A不为空集(a>-2),依题意,有两种情形A交B=空集:1)A区间在B区间右边,此时a-1>=1, 得:a>=22)A区间在B区间左边,此时2a+1<=0,得:a<=-1/2因此a的取值范围是:a<=-1/2或a>=2.