已知三个集合A={x|x²-3x+2=0},B={x|x²-ax+(a-1)=0},C={x|x²-2x+b=0},问同时满足B是A的真子集,C是A的子集的实数a,b是否存在?若存在,求出a,b所有值;若不存在,请说明理由
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![已知三个集合A={x|x²-3x+2=0},B={x|x²-ax+(a-1)=0},C={x|x²-2x+b=0},问同时满足B是A的真子集,C是A的子集的实数a,b是否存在?若存在,求出a,b所有值;若不存在,请说明理由](/uploads/image/z/12710428-52-8.jpg?t=%E5%B7%B2%E7%9F%A5%E4%B8%89%E4%B8%AA%E9%9B%86%E5%90%88A%3D%EF%BD%9Bx%7Cx%26%23178%3B-3x%2B2%3D0%EF%BD%9D%2CB%3D%EF%BD%9Bx%7Cx%26%23178%3B-ax%2B%EF%BC%88a-1%EF%BC%89%3D0%EF%BD%9D%2CC%3D%EF%BD%9Bx%7Cx%26%23178%3B-2x%2Bb%3D0%EF%BD%9D%2C%E9%97%AE%E5%90%8C%E6%97%B6%E6%BB%A1%E8%B6%B3B%E6%98%AFA%E7%9A%84%E7%9C%9F%E5%AD%90%E9%9B%86%2CC%E6%98%AFA%E7%9A%84%E5%AD%90%E9%9B%86%E7%9A%84%E5%AE%9E%E6%95%B0a%2Cb%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%3F%E8%8B%A5%E5%AD%98%E5%9C%A8%2C%E6%B1%82%E5%87%BAa%2Cb%E6%89%80%E6%9C%89%E5%80%BC%EF%BC%9B%E8%8B%A5%E4%B8%8D%E5%AD%98%E5%9C%A8%2C%E8%AF%B7%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1)
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