设集合A={x^2-4x+3=0},B={x|x^2-ax+a-1=0},C={x|x^2-mx+1},若A∪B=A,A
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/09/22 07:42:27
设集合A={x^2-4x+3=0},B={x|x^2-ax+a-1=0},C={x|x^2-mx+1},若A∪B=A,A∩C=C,求实数a,m的值
A={x|x^2-4x+3=0}
={x| (x-1)(x-3) =0 }
= {1,3}
A∪B=A
=> B is a subset of A
B={x|x^2-ax+a-1=0}
x=3
x^2-ax+a-1=0
9-3a+a-1=0
a=4
A∩C=C
=> C is a subset of A
C={x|x^2-mx+1=0}
x=1
x^2-mx+1=0
1-m+1=0
m=2
x=3
9-3m+1=0
m =10/3
ie m=2 or 10/3
={x| (x-1)(x-3) =0 }
= {1,3}
A∪B=A
=> B is a subset of A
B={x|x^2-ax+a-1=0}
x=3
x^2-ax+a-1=0
9-3a+a-1=0
a=4
A∩C=C
=> C is a subset of A
C={x|x^2-mx+1=0}
x=1
x^2-mx+1=0
1-m+1=0
m=2
x=3
9-3m+1=0
m =10/3
ie m=2 or 10/3
设集合A=x^2-4x+3=0,B={x|x^2-ax+a-1=0},C={x|x^2-mx+1},若A∪B=A,A∩C
设集合A={x^2-4x+3=0},B={x|x^2-ax+a-1=0},C={x|x^2-mx+1},若A∪B=A,A
已知集合A={x|x^2-3x+2=0},B={x|x^2-ax+a-1=0},C={x|x^2-mx+2=0} 若A∪
已知集合A={x|x²-3x+2=0},B={x|x²-ax+a-1=0},C={x|x²
设集合A={x|x²-ax+a²-21=0},B={x|x²+2x-8=0},C={x|x
已知集合A={x^2-3x+2=0},B={X|X^2-ax+a-1=0},C={x|x^2-mx+2=0},且A并B=
设集合A={x|x-2/2x+1>1},B={x||x-a|
已知实数a≠0,集合a={x|y=ln ax/x-a^2-1}B={x|(x-2)(x-3a-1
设集合A={x|x²-3x+2=0},集合B={x|x²-(2a+1)x+a²+a=0}(
已知集合A等于X的平方-3X+2=0,集合B=X的平方-aX+a-1=0,集合C=X的平方-mx+a=0已知AUB=A,
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
设集合A={x|x²-5x+4>0},B={x|x²-2ax+a+2},若A∩B≠∅,求