优优班--学霸训练营 > 知识点挑题
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            • 1.
              如果等差数列\(\{a_{n}\}\)中,\(a_{3}+a_{4}+a_{5}=12\),那么\(a_{1}+a_{2}+…+a_{7}=(\)  \()\)
              A.\(14\)
              B.\(21\)
              C.\(28\)
              D.\(35\)
            • 2.
              已知等差数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\),\(a_{1}=-14\),\(a_{5}+a_{6}=-4\),\(S_{n}\)取最小值时\(n\)的值为\((\)  \()\)
              A.\(6\)
              B.\(7\)
              C.\(8\)
              D.\(9\)
            • 3.
              等差数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\),且\(S_{3}=6\),\(a_{1}=4\),则公差\(d\)等于\((\)  \()\)
              A.\(1\)
              B.\( \dfrac {5}{3}\)
              C.\(-2\)
              D.\(3\)
            • 4.
              若等差数列\(\{a_{n}\}\)满足\(a_{1}+a_{2}+a_{2015}+a_{2016}=3\),则\(\{a_{n}\}\)的前\(2016\)项之和\(S_{2016}=(\)  \()\)
              A.\(1506\)
              B.\(1508\)
              C.\(1510\)
              D.\(1512\)
            • 5.
              等差数列\(\{a_{n}\}\)中,\(a_{7}+a_{9}=16\),\(a_{4}=1\),则\(a_{12}=(\)  \()\)
              A.\(15\)
              B.\(30\)
              C.\(31\)
              D.\(64\)
            • 6.
              在等差数列\(\{a_{n}\}\)中,已知\(a_{3}+a_{8}=6\),则\(3a_{2}+a_{16}\)的值为\((\)  \()\)
              A.\(24\)
              B.\(18\)
              C.\(16\)
              D.\(12\)
            • 7.
              \(\{a_{n}\}\)是等差数列,且\(a_{1}+a_{4}+a_{7}=45\),\(a_{2}+a_{5}+a_{8}=39\),则\(a_{3}+a_{6}+a_{9}\)的值是\((\)  \()\)
              A.\(24\)
              B.\(27\)
              C.\(30\)
              D.\(33\)
            • 8.
              已知\(-7\),\(a_{1}\),\(a_{2}\),\(-1\)四个实数成等差数列,\(-4\),\(b_{1}\),\(b_{2}\),\(b_{3}\),\(-1\)五个实数成等比数列,则\( \dfrac {a_{2}-a_{1}}{b_{2}}=\) ______
            • 9.
              已知在等差数列\(\{a_{n}\}\)中,\(a_{1}\),\(a_{2017}\)为方程\(x^{2}-10x+16=0\)的两根,则\(a_{2}+a_{1009}+a_{2016}\)的值为 ______ .
            • 10.
              等差数列\(\{a_{n}\}\)的公差为\(d\),前\(n\)项的和为\(S_{n}\),当首项\(a_{1}\)和\(d\)变化时,\(a_{2}+a_{8}+a_{11}\)是一个定值,则下列各数中也为定值的是\((\)  \()\)
              A.\(S_{7}\)
              B.\(S_{8}\)
              C.\(S_{13}\)
              D.\(S_{15}\)
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