20.已知二次函数f(x)=ax^2+bx(a,b是常数且a≠0)满足条件f(2)=0且方程f(x)=x有等根.(1) 求f(x)的解析式; (2) 问是否存在实数m,n (m<n),使f(x)的定义域和值域分别为[m,n]和[2m,2n].如果存在,求出m,n的值; 如
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![20.已知二次函数f(x)=ax^2+bx(a,b是常数且a≠0)满足条件f(2)=0且方程f(x)=x有等根.(1) 求f(x)的解析式; (2) 问是否存在实数m,n (m<n),使f(x)的定义域和值域分别为[m,n]和[2m,2n].如果存在,求出m,n的值; 如](/uploads/image/z/10299319-7-9.jpg?t=20.%E5%B7%B2%E7%9F%A5%E4%BA%8C%E6%AC%A1%E5%87%BD%E6%95%B0f%28x%29%3Dax%5E2%2Bbx%28a%2Cb%E6%98%AF%E5%B8%B8%E6%95%B0%E4%B8%94a%E2%89%A00%29%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6f%282%29%3D0%E4%B8%94%E6%96%B9%E7%A8%8Bf%28x%29%EF%BC%9Dx%E6%9C%89%E7%AD%89%E6%A0%B9.%281%29+%E6%B1%82f%28x%29%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%3B+%282%29+%E9%97%AE%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E5%AE%9E%E6%95%B0m%2Cn+%28m%EF%BC%9Cn%29%2C%E4%BD%BFf%28x%29%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E5%92%8C%E5%80%BC%E5%9F%9F%E5%88%86%E5%88%AB%E4%B8%BA%5Bm%2Cn%5D%E5%92%8C%5B2m%2C2n%5D.%E5%A6%82%E6%9E%9C%E5%AD%98%E5%9C%A8%2C%E6%B1%82%E5%87%BAm%2Cn%E7%9A%84%E5%80%BC%3B+%E5%A6%82)
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