已知函数f(x)=ax+x㏑x,且图像在点(1/e,f(1/e))处的切线斜率为1(e为自然对数的底数).(1)求实数a的值.﹙2﹚设g(x)=f(x)-x/x-1,求g(x)的单调区间.﹙3﹚当m>n>1(m,n∈Z)时,证明:n的根
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![已知函数f(x)=ax+x㏑x,且图像在点(1/e,f(1/e))处的切线斜率为1(e为自然对数的底数).(1)求实数a的值.﹙2﹚设g(x)=f(x)-x/x-1,求g(x)的单调区间.﹙3﹚当m>n>1(m,n∈Z)时,证明:n的根](/uploads/image/z/3712956-60-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dax%2Bx%E3%8F%91x%2C%E4%B8%94%E5%9B%BE%E5%83%8F%E5%9C%A8%E7%82%B9%281%2Fe%2Cf%281%2Fe%29%29%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%9C%E7%8E%87%E4%B8%BA1%28e%E4%B8%BA%E8%87%AA%E7%84%B6%E5%AF%B9%E6%95%B0%E7%9A%84%E5%BA%95%E6%95%B0%EF%BC%89.%EF%BC%881%EF%BC%89%E6%B1%82%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%80%BC.%EF%B9%992%EF%B9%9A%E8%AE%BEg%EF%BC%88x%EF%BC%89%3Df%EF%BC%88x%EF%BC%89%EF%BC%8Dx%EF%BC%8Fx%EF%BC%8D1%2C%E6%B1%82g%EF%BC%88x%EF%BC%89%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4.%EF%B9%993%EF%B9%9A%E5%BD%93m%EF%BC%9En%EF%BC%9E1%EF%BC%88m%2Cn%E2%88%88Z%EF%BC%89%E6%97%B6%2C%E8%AF%81%E6%98%8E%EF%BC%9An%E7%9A%84%E6%A0%B9)
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