设函数的定义域为(0,+∞),且对任意的正实数x,y,有f(xy)=f(x)+f(y)恒成立,已知f(2)=1,且当x>1时,f(x)>0(1)求f(1),f(1/2)的值(2)证明f(x)在(0,+∞)上单调递增(3)一个各项均为正数的数列{an},满足f(Sn)=f(
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![设函数的定义域为(0,+∞),且对任意的正实数x,y,有f(xy)=f(x)+f(y)恒成立,已知f(2)=1,且当x>1时,f(x)>0(1)求f(1),f(1/2)的值(2)证明f(x)在(0,+∞)上单调递增(3)一个各项均为正数的数列{an},满足f(Sn)=f(](/uploads/image/z/2554092-36-2.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0%E7%9A%84%E5%AE%9A%E4%B9%89%E5%9F%9F%E4%B8%BA%280%2C%2B%E2%88%9E%EF%BC%89%2C%E4%B8%94%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84%E6%AD%A3%E5%AE%9E%E6%95%B0x%2Cy%2C%E6%9C%89f%28xy%29%3Df%28x%29%2Bf%28y%29%E6%81%92%E6%88%90%E7%AB%8B%2C%E5%B7%B2%E7%9F%A5f%282%29%3D1%2C%E4%B8%94%E5%BD%93x%3E1%E6%97%B6%2Cf%28x%29%3E0%EF%BC%881%EF%BC%89%E6%B1%82f%281%29%2Cf%281%2F2%29%E7%9A%84%E5%80%BC%282%29%E8%AF%81%E6%98%8Ef%28x%29%E5%9C%A8%280%2C%2B%E2%88%9E%EF%BC%89%E4%B8%8A%E5%8D%95%E8%B0%83%E9%80%92%E5%A2%9E%EF%BC%883%EF%BC%89%E4%B8%80%E4%B8%AA%E5%90%84%E9%A1%B9%E5%9D%87%E4%B8%BA%E6%AD%A3%E6%95%B0%E7%9A%84%E6%95%B0%E5%88%97%7Ban%7D%2C%E6%BB%A1%E8%B6%B3f%28Sn%29%3Df%28)
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