优优班--学霸训练营 > 知识点挑题
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              已知函数\(f(x)=x^{2}+2bx\)的图象在点\(A(0,f(0))\)处的切线\(l\)与直线\(x+y+3=0\)垂直,若数列\(\{\dfrac{1}{f\left(n\right)} \}\)的前\(n\)项和为\(S_{n}\),则\(S_{2011}\)的值为\((\)  \()\)

              A.\(\dfrac{2012}{2011} \)
              B.\(\dfrac{2010}{2011} \)
              C.\(\dfrac{2013}{2012} \)
              D.\(\dfrac{2011}{2012} \)
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