已知集合A=｛x|x^2-3x+2=0},B={x|x^2-ax+a-1=0}，C=｛x|x-x+2m=0}。若AUB=A，A∩C=C，求a，m的取值范围。
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A=｛x|x^2-3x+2=0}
= {x|(x-1)(x-2)=0
= {1,2}
AUB=A => B is subset of A
when x=1, B={x|x^2-ax+a-1=0}，
1-a+a-1=0 => 0=0
when x=2
4-2a+a-1=0
a=3 #
A∩C=C => C is subset of A
when x=1, C=｛x|x^2-x+2m=0}
1-1+2m =0
m =0
when x=2
4-2+2m =0
m = -1
m = 0 or -1#
= {x|(x-1)(x-2)=0
= {1,2}
AUB=A => B is subset of A
when x=1, B={x|x^2-ax+a-1=0}，
1-a+a-1=0 => 0=0
when x=2
4-2a+a-1=0
a=3 #
A∩C=C => C is subset of A
when x=1, C=｛x|x^2-x+2m=0}
1-1+2m =0
m =0
when x=2
4-2+2m =0
m = -1
m = 0 or -1#
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