优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知等差数列\(\{a_{n}\}\)的公差为正数,且\(a_{3}⋅a_{7}=-12\),\(a_{4}+a_{6}=-4\),则\(S_{20}\)为\((\)  \()\)
              A.\(90\)
              B.\(-180\)
              C.\(180\)
              D.\(-90\)
            • 2.
              在等差数列\(\{a_{n}\}\)中,\(a_{9}= \dfrac {1}{2}a_{12}+3\),则数列\(\{a_{n}\}\)的前\(11\)项和\(S_{11}=(\)  \()\)
              A.\(24\)
              B.\(48\)
              C.\(66\)
              D.\(132\)
            • 3.
              已知\(\{a_{n}\}\)为等差数列,\(a_{1}+a_{3}+a_{5}=105\),\(a_{2}+a_{4}+a_{6}=99\),以\(S_{n}\)表示\(\{a_{n}\}\)的前\(n\)项和,则使得\(S_{n}\)达到最大值的\(n\)是\((\)  \()\)
              A.\(21\)
              B.\(20\)
              C.\(19\)
              D.\(18\)
            • 4.
              设\(S_{n}\)是等差数列\(\{a_{n}\}\)的前\(n\)项和,若\(a_{2}+a_{12}=18\),则\(S_{13}=(\)  \()\)
              A.\(91\)
              B.\(126\)
              C.\(234\)
              D.\(117\)
            • 5.
              等差数列\(\{a_{n}\}\)的前\(m\)项和为\(30\),前\(2m\)项和为\(100\),则它的前\(3m\)项和为\((\)  \()\)
              A.\(130\)
              B.\(170\)
              C.\(210\)
              D.\(260\)
            • 6.
              设\(S_{n}\)是等差数列\(\{a_{n}\}\)的前\(n\)项和,若\(a_{1}=-2015\),\(S_{6}-2S_{3}=18\),则\(S_{2017}=(\)  \()\)
              A.\(2016\)
              B.\(2017\)
              C.\(-2015\)
              D.\(-2018\)
            • 7.
              设等差数列\(\{a_{n}\}\)的前\(n\)项的和为\(S_{n}\),且\(S_{13}=52\),则\(a_{4}+a_{8}+a_{9}=(\)  \()\)
              A.\(8\)
              B.\(12\)
              C.\(16\)
              D.\(20\)
            • 8.
              数列\(\{a_{n}\}\)的前\(n\)项和\(S_{n}=2n^{2}+n\),那么它的通项公式是\((\)  \()\)
              A.\(a_{n}=2n-1\)
              B.\(a_{n}=2n+1\)
              C.\(a_{n}=4n-1\)
              D.\(a_{n}=4n+1\)
            • 9.
              设等差数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\),已知\(2a_{1}+a_{13}=-9\),则\(S_{9}=(\)  \()\)
              A.\(-27\)
              B.\(27\)
              C.\(-54\)
              D.\(54\)
            • 10.
              记\(S_{n}\)为等差数列\(\{a_{n}\}\)的前\(n\)项和,\(S_{5}=15a_{5}\),\(S_{5}-S_{2}=18\),则\(3a_{3}-a_{4}\)的值为\((\)  \()\)
              A.\(21\)
              B.\(24\)
              C.\(27\)
              D.\(30\)
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