• 若x>1,则x2-2x+22x-2有( )试题及答案-单选题-云返教育

    • 试题详情

      若x>1,则
      x2-2x+2
      2x-2
      有(  )

      试题解答


      A
      解:若x>1,则
      x2-2x+2
      2x-2
      =
      (x-1)2+1
      2(x-1)
      =
      x-1
      2
      +
      1
      2(x-1)
      ≥2
      x-1
      2
      ?
      1
      2(x-1)
      =1,当且仅当
      x-1
      2
      =
      1
      2(x-1)
      时,取等号.
      x2-2x+2
      2x-2
      有最小值为1,
      故选A.
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