问题
填空题
若A={1,2,3},B={x∈R|x2-ax+1=0,a∈A},则A∩B=B时a的值是______.
答案
∵A∩B=B∴B⊆A
∵a∈A={1,2,3},∴a=1或2或3
若a=1,则△=12-4<0,∴B=∅,满足题意;
若a=2,则x2-2x+1=0,∴B={1},满足题意;
若a=3,则x2-3x+1=0,∴B={
},不满足题意;3± 5 2
故A∩B=B时a的值是1或2
故答案为:1或2