已知反比例函数f(x)的图像过点(1,1),数列{an},{bn}满足a1=1,b1=1,且对任意n属于N*,均有an+1=an*f(an)/(f(an)+2),bn+1-bn=1/an(1)求函数f(x)的解析式;(2)求数列{an}{bn}的通项公式;(3)对于&属于[0,1
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![已知反比例函数f(x)的图像过点(1,1),数列{an},{bn}满足a1=1,b1=1,且对任意n属于N*,均有an+1=an*f(an)/(f(an)+2),bn+1-bn=1/an(1)求函数f(x)的解析式;(2)求数列{an}{bn}的通项公式;(3)对于&属于[0,1](/uploads/image/z/11697068-20-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%8F%8D%E6%AF%94%E4%BE%8B%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E5%9B%BE%E5%83%8F%E8%BF%87%E7%82%B9%281%2C1%29%2C%E6%95%B0%E5%88%97%7Ban%7D%2C%7Bbn%7D%E6%BB%A1%E8%B6%B3a1%3D1%2Cb1%3D1%2C%E4%B8%94%E5%AF%B9%E4%BB%BB%E6%84%8Fn%E5%B1%9E%E4%BA%8EN%2A%2C%E5%9D%87%E6%9C%89an%2B1%3Dan%2Af%28an%29%2F%28f%28an%29%2B2%29%2Cbn%2B1-bn%3D1%2Fan%EF%BC%881%EF%BC%89%E6%B1%82%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%EF%BC%9B%EF%BC%882%EF%BC%89%E6%B1%82%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%EF%BD%9Bbn%EF%BD%9D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%EF%BC%9B%EF%BC%883%EF%BC%89%E5%AF%B9%E4%BA%8E%26%E5%B1%9E%E4%BA%8E%5B0%2C1)
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