优优班--学霸训练营 > 知识点挑题
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            • 1.
              在等差数列\(\{a_{n}\}\)中,\(a_{3}+a_{7}-a_{10}=-1\),\(a_{11}-a_{4}=21\),则\(a_{7}=(\)  \()\)
              A.\(7\)
              B.\(10\)
              C.\(20\)
              D.\(30\)
            • 2.
              已知等差数列\(\{a_{n}\}\)的前\(n\)项和\(S_{n}\)满足\(S_{3}=0\),\(S_{5}=-5\),则数列\(\{ \dfrac {1}{a_{2n-1}a_{2n+1}}\}\)的前\(8\)项和为\((\)  \()\)
              A.\(- \dfrac {3}{4}\)
              B.\(- \dfrac {8}{15}\)
              C.\( \dfrac {3}{4}\)
              D.\( \dfrac {8}{15}\)
            • 3.
              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.\(12\)
            • 4.
              已知等差数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\),且\(2S_{3}-3S_{2}=15\),则数列\(\{a_{n}\}\)的公差为\((\)  \()\)
              A.\(3\)
              B.\(4\)
              C.\(5\)
              D.\(6\)
            • 5.
              已知\(\triangle ABC\)中,三内角\(A\)、\(B\)、\(C\)成等差数列,则\(\sin B=(\)  \()\)
              A.\( \dfrac {1}{2}\)
              B.\( \dfrac { \sqrt {3}}{2}\)
              C.\( \dfrac { \sqrt {2}}{2}\)
              D.\( \dfrac { \sqrt {3}}{3}\)
            • 6.
              数列\(\{a_{n}\}\)中,\(a_{1}=3\),\(3a_{n+1}=3a_{n}-2(n∈N^{*})\),则该数列中相邻两项的乘积是负数的是\((\)  \()\)
              A.\(a_{3}a_{4}\)
              B.\(a_{4}a_{5}\)
              C.\(a_{5}a_{6}\)
              D.\(a_{6}a_{7}\)
            • 7.
              已知等差数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\),\(a_{5}=5\),\(S_{5}=15\),则数列\(\{ \dfrac {1}{a_{n}a_{n+1}}\}\)的前\(100\)项和为\((\)  \()\)
              A.\( \dfrac {100}{101}\)
              B.\( \dfrac {99}{101}\)
              C.\( \dfrac {99}{100}\)
              D.\( \dfrac {101}{100}\)
            • 8.
              在等差数列\(\{a_{n}\}\)中,\(a_{2}=2\),\(a_{3}=4\),则\(a_{10}=(\)  \()\)
              A.\(12\)
              B.\(14\)
              C.\(16\)
              D.\(18\)
            • 9.
              在等差数列\(\{a_{n}\}\)中,若\(a_{4}=13\),\(a_{7}=25\),则公差\(d\)等于\((\)  \()\)
              A.\(1\)
              B.\(2\)
              C.\(3\)
              D.\(4\)
            • 10.
              在等差数列中,\(a_{9}=3\),则此数列前\(17\)项和等于\((\)  \()\)
              A.\(51\)
              B.\(34\)
              C.\(102\)
              D.不能确定
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