设集合A={x丨x²-3x+2=0},B={x丨x²-4x+m=0=0},若A∪B=A,求实数m的取值A:(x-1)(x-2)=0;x=1或x=2;B:x²-4x+m=0;∵A∪B=A∴(1)Δ=16-4m=0;m=4;x=2;符合;(2)Δ=16-4m>0;m<4;1+2=4符合;所舍(3)Δ=16-4m<0;即m
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![设集合A={x丨x²-3x+2=0},B={x丨x²-4x+m=0=0},若A∪B=A,求实数m的取值A:(x-1)(x-2)=0;x=1或x=2;B:x²-4x+m=0;∵A∪B=A∴(1)Δ=16-4m=0;m=4;x=2;符合;(2)Δ=16-4m>0;m<4;1+2=4符合;所舍(3)Δ=16-4m<0;即m](/uploads/image/z/755446-22-6.jpg?t=%E8%AE%BE%E9%9B%86%E5%90%88A%3D%7Bx%E4%B8%A8x%26%23178%3B-3x%2B2%3D0%7D%2CB%3D%7Bx%E4%B8%A8x%26%23178%3B-4x%2Bm%3D0%3D0%7D%2C%E8%8B%A5A%E2%88%AAB%3DA%2C%E6%B1%82%E5%AE%9E%E6%95%B0m%E7%9A%84%E5%8F%96%E5%80%BCA%3A%28x-1%29%28x-2%29%3D0%3Bx%3D1%E6%88%96x%3D2%EF%BC%9BB%EF%BC%9Ax%26%23178%3B-4x%2Bm%3D0%3B%E2%88%B5A%E2%88%AAB%3DA%E2%88%B4%281%29%CE%94%3D16-4m%3D0%3Bm%3D4%3Bx%3D2%3B%E7%AC%A6%E5%90%88%EF%BC%9B%EF%BC%882%EF%BC%89%CE%94%3D16-4m%EF%BC%9E0%3Bm%EF%BC%9C4%3B1%2B2%3D4%E7%AC%A6%E5%90%88%EF%BC%9B%E6%89%80%E8%88%8D%EF%BC%883%EF%BC%89%CE%94%3D16-4m%EF%BC%9C0%EF%BC%9B%E5%8D%B3m)
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