设函数f(x)=x^2-alnx与g(x)=(1/a)x-√x的图像分别交直线x=1于点A、B,且曲线y=f(x)在点A处的切线与曲线y=g(x)在点B处的切线平行.(斜率相等).(1)求实数a的值(2)当a>1时,求函数h(x)=f(x)-g(x)
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![设函数f(x)=x^2-alnx与g(x)=(1/a)x-√x的图像分别交直线x=1于点A、B,且曲线y=f(x)在点A处的切线与曲线y=g(x)在点B处的切线平行.(斜率相等).(1)求实数a的值(2)当a>1时,求函数h(x)=f(x)-g(x)](/uploads/image/z/3836809-1-9.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dx%5E2-alnx%E4%B8%8Eg%28x%29%3D%281%2Fa%29x-%E2%88%9Ax%E7%9A%84%E5%9B%BE%E5%83%8F%E5%88%86%E5%88%AB%E4%BA%A4%E7%9B%B4%E7%BA%BFx%3D1%E4%BA%8E%E7%82%B9A%E3%80%81B%2C%E4%B8%94%E6%9B%B2%E7%BA%BFy%3Df%28x%29%E5%9C%A8%E7%82%B9A%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E4%B8%8E%E6%9B%B2%E7%BA%BFy%3Dg%28x%29%E5%9C%A8%E7%82%B9B%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E5%B9%B3%E8%A1%8C.%EF%BC%88%E6%96%9C%E7%8E%87%E7%9B%B8%E7%AD%89%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%BC%882%EF%BC%89%E5%BD%93a%3E1%E6%97%B6%2C%E6%B1%82%E5%87%BD%E6%95%B0h%EF%BC%88x%EF%BC%89%3Df%EF%BC%88x%EF%BC%89-g%EF%BC%88x%EF%BC%89)
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