设全集U=(2,4,-(a-3)^2),A=(2,a^2-a+2),若CuA=(-1)求实数a的值
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![设全集U=(2,4,-(a-3)^2),A=(2,a^2-a+2),若CuA=(-1)求实数a的值](/uploads/image/z/13875596-44-6.jpg?t=%E8%AE%BE%E5%85%A8%E9%9B%86U%3D%EF%BC%882%2C4%2C-%28a-3%29%5E2%29%2CA%3D%282%2Ca%5E2-a%2B2%29%2C%E8%8B%A5CuA%3D%EF%BC%88-1%EF%BC%89%E6%B1%82%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%80%BC)
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设全集U=(2,4,-(a-3)^2),A=(2,a^2-a+2),若CuA=(-1)求实数a的值
设全集U=(2,4,-(a-3)^2),A=(2,a^2-a+2),若CuA=(-1)
求实数a的值
设全集U=(2,4,-(a-3)^2),A=(2,a^2-a+2),若CuA=(-1)求实数a的值
CuA=(-1)
-1∈U
-(a-3)^2=-1
(a-3)^2=1
a-3=±1
a=2,或,4
a=2时,a^2-a+2=4-2+2=4
a=4时,a^2-a+2=16-4+2=14≠4
所以,a=2
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