职教组卷基于海量职教高考试题库建立的在线组卷及学习系统
职教组卷
  • 题型:选择题 题类:其他 难易度:中档

    已知函数\(f(x)=x^{a}\)的图象过点\((4,2)\),令\(a_{n}= \dfrac{1}{f(n+1)+f(n)}\),\(n∈N^{*}\).记数列\(\{a\)\({\,\!}_{n}\)\(\}\)的前\(n\)项和为\(S\)\({\,\!}_{n}\),则\(S\)\({\,\!}_{2\;018}\)\(=(\)  \()\)

    A. \(\ \sqrt{2017}-1\)                  B. \(\ \sqrt{2018}-1\) C. \(\ \sqrt{2019}-1\)                             D. \(\ \sqrt{2019}+1\)
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