函数f(x)=lnx+(a-x)/x,其中a为常数,且a>0.函数f(x)=lnx+(a-x)/x,其中a为常数,且a>0.(1)若曲线y=f(x)在点(1,f(1))处的切线与直线y=1/2 x+1垂直,求a的值.(2)若函数f(x)在区间【1,2】的最小值为1/2,求a 的值
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![函数f(x)=lnx+(a-x)/x,其中a为常数,且a>0.函数f(x)=lnx+(a-x)/x,其中a为常数,且a>0.(1)若曲线y=f(x)在点(1,f(1))处的切线与直线y=1/2 x+1垂直,求a的值.(2)若函数f(x)在区间【1,2】的最小值为1/2,求a 的值](/uploads/image/z/5407864-16-4.jpg?t=%E5%87%BD%E6%95%B0f%28x%29%3Dlnx%2B%28a-x%29%2Fx%2C%E5%85%B6%E4%B8%ADa%E4%B8%BA%E5%B8%B8%E6%95%B0%2C%E4%B8%94a%3E0.%E5%87%BD%E6%95%B0f%28x%29%3Dlnx%2B%28a-x%29%2Fx%2C%E5%85%B6%E4%B8%ADa%E4%B8%BA%E5%B8%B8%E6%95%B0%2C%E4%B8%94a%3E0.%EF%BC%881%EF%BC%89%E8%8B%A5%E6%9B%B2%E7%BA%BFy%3Df%28x%29%E5%9C%A8%E7%82%B9%281%2Cf%281%29%29%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E4%B8%8E%E7%9B%B4%E7%BA%BFy%3D1%2F2+x%2B1%E5%9E%82%E7%9B%B4%2C%E6%B1%82a%E7%9A%84%E5%80%BC.%EF%BC%882%EF%BC%89%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%E5%9C%A8%E5%8C%BA%E9%97%B4%E3%80%901%2C2%E3%80%91%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BA1%2F2%2C%E6%B1%82a+%E7%9A%84%E5%80%BC)
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