已知集合A={x|x2-3x+2=0},B={x|x2-ax+a-1=0},C={x|x2-mx+1=0},且A∪B=A,A∩C=C,求实数a,m的取值范围
问题描述：
已知集合A={x|x2-3x+2=0},B={x|x2-ax+a-1=0},C={x|x2-mx+1=0},且A∪B=A,A∩C=C,求实数a,m的取值范围
答
A={x|x^2-3x+2=0}= {1,2}B={x|x^2-ax+a-1=0}= { 1,(a-1)}C={x|x2-mx+1=0}A∪B=A=> B is subset of Awhen x=1 a-1=1 => a=2when x=2 a-1=2 => a=3ie a= 2 or 3A∩C=C=> C is subset of Awhen x=11-m+1=0 => m=2when x...