已知f(x)=-x2 +(m+1)x-m+2,g(x)=f(x)+2m-2,m是实数若m《1,(1)用定义证明g(x)在【1,正无穷大)上为减函数(2)是否存在互不相等的正整数a,b,使g(x)的定义域和值域均为【a,b】,若存在,
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![已知f(x)=-x2 +(m+1)x-m+2,g(x)=f(x)+2m-2,m是实数若m《1,(1)用定义证明g(x)在【1,正无穷大)上为减函数(2)是否存在互不相等的正整数a,b,使g(x)的定义域和值域均为【a,b】,若存在,](/uploads/image/z/12479490-18-0.jpg?t=%E5%B7%B2%E7%9F%A5f%EF%BC%88x%EF%BC%89%3D-x2+%2B%EF%BC%88m%2B1%EF%BC%89x-m%2B2%2Cg%EF%BC%88x%EF%BC%89%3Df%EF%BC%88x%EF%BC%89%2B2m-2%2Cm%E6%98%AF%E5%AE%9E%E6%95%B0%E8%8B%A5m%E3%80%8A1%2C%EF%BC%881%EF%BC%89%E7%94%A8%E5%AE%9A%E4%B9%89%E8%AF%81%E6%98%8Eg%EF%BC%88x%EF%BC%89%E5%9C%A8%E3%80%901%2C%E6%AD%A3%E6%97%A0%E7%A9%B7%E5%A4%A7%EF%BC%89%E4%B8%8A%E4%B8%BA%E5%87%8F%E5%87%BD%E6%95%B0%EF%BC%882%EF%BC%89%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E4%BA%92%E4%B8%8D%E7%9B%B8%E7%AD%89%E7%9A%84%E6%AD%A3%E6%95%B4%E6%95%B0a%2Cb%2C%E4%BD%BFg%EF%BC%88x%EF%BC%89%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E5%92%8C%E5%80%BC%E5%9F%9F%E5%9D%87%E4%B8%BA%E3%80%90a%2Cb%E3%80%91%2C%E8%8B%A5%E5%AD%98%E5%9C%A8%2C)
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