集合A={(x,y)|2x-y=0},B={(x,y)|3x+y=0}.C={(x,y)|2x-y=3},求A∩B,A∩C,(A∩B,A∩C,(A∩B)∪(B∩C).
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![集合A={(x,y)|2x-y=0},B={(x,y)|3x+y=0}.C={(x,y)|2x-y=3},求A∩B,A∩C,(A∩B,A∩C,(A∩B)∪(B∩C).](/uploads/image/z/3964134-30-4.jpg?t=%E9%9B%86%E5%90%88A%3D%7B%28x%2Cy%EF%BC%89%7C2x-y%3D0%7D%2CB%3D%7B%28x%2Cy%EF%BC%89%7C3x%2By%3D0%7D.C%3D%7B%EF%BC%88x%2Cy%EF%BC%89%7C2x-y%3D3%7D%2C%E6%B1%82A%E2%88%A9B%2CA%E2%88%A9C%2C%28A%E2%88%A9B%2CA%E2%88%A9C%2C%28A%E2%88%A9B%29%E2%88%AA%28B%E2%88%A9C%29.)
集合A={(x,y)|2x-y=0},B={(x,y)|3x+y=0}.C={(x,y)|2x-y=3},求A∩B,A∩C,(A∩B,A∩C,(A∩B)∪(B∩C).
集合A={(x,y)|2x-y=0},B={(x,y)|3x+y=0}.C={(x,y)|2x-y=3},求A∩B,A∩C,(A∩B,A∩C,(A∩B)∪(B∩C).
集合A={(x,y)|2x-y=0},B={(x,y)|3x+y=0}.C={(x,y)|2x-y=3},求A∩B,A∩C,(A∩B,A∩C,(A∩B)∪(B∩C).
∵2X-Y=0
3X+Y=0
∴X=0,Y=0
∴A∩B={(0,0)}
∵2X-Y=0
2X-Y=3
∴无解
∴A∩C=空集
∵3X+Y=0
2X-Y=3
∴X=3/5,Y=-9/5
∴B∩C={(3/5,-9/5)}
∴(A∩B)∪(B∩C)={(0,0),(3/5,-9/5)}