设集合A=｛a²,a+1.-3｝B=｛a-3,2a-1,a²+1｝ 并且AnB=｛-3｝ 求实数a的值

设集合A=｛a²,a+1.-3｝B=｛a-3,2a-1,a²+1｝ 并且AnB=｛-3｝ 求实数a的值
设集合A=｛a²,a+1.-3｝B=｛a-3,2a-1,a²+1｝ 并且AnB=｛-3｝ 求实数a的值

设集合A=｛a²,a+1.-3｝B=｛a-3,2a-1,a²+1｝ 并且AnB=｛-3｝ 求实数a的值
当a-3=-3时 a=0
此时A={0,1,-3}
B={-3,-1,1}
A交B={1,-3}不符合条件,舍去
当2a-1=-3时
a=-1
此时A={1,0,-3}
B={-4,-1,2}
AnB=｛-3｝
∴a=-1