组卷网>知识点选题>不等法求数列最值
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| 共计 66 道试题
单选题 | 一般(0.65) | 2022·全国高三专题练习
1 . 已知等比数列eqId2c1230a9ef5a4968be599681d676dd2b的前eqId5f904d1376ac4de7a7d6cfea92ff6981项积为eqId92ed363a54bd4a8a93df9463bb3af1f5,若eqId4db4d0bfefb04e8782b34bbf23453e1beqIda5814e22644847808ad27b69c702f6d3,则当eqId92ed363a54bd4a8a93df9463bb3af1f5取最大值时,eqId5f904d1376ac4de7a7d6cfea92ff6981的值为(   )
A.10B.8C.6D.4
更新:2021/07/31组卷:3
双空题 | 一般(0.65) | 2021·北京四中高二期中
2 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqIdfe2b25bcbb3042a2b2849acd349130c8eqId19957413ca8746da8765480e81d93638eqId645258d4d67f4a36975189d812cdf7ba,且eqIdce0f2fa82f5c4a748beb1afdd451163a.则
(1)eqId9d51ad182bd541949184738b462bbab8______
(2)数列eqId13c9456142f24760a1bf9952315eac7c的最大项为第______项.
3 . 已知数列eqId054d5a7de5684002909fe944c86227c2的通项公式eqId8b51488ce2374b31a028aa9c9f0ecf2c,则数列的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqIddb5481de79c946c0a760143297d5eade取最小值时,eqId5f904d1376ac4de7a7d6cfea92ff6981的值是(  )
A.3B.4C.5D.6
4 . 已知eqIdf9ee8ad5d26b4909b671aaa48c6f93d7,记数列eqId98cc42d4f07b4925938d1e2230a4c95c的前n项和为eqId92ed363a54bd4a8a93df9463bb3af1f5,且对于任意的eqId532dc4d959024b79b546428f5856e5aaeqId9605103a8dd94994b805591ca31b964c,则实数t 的最大值是________.
5 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId5f904d1376ac4de7a7d6cfea92ff6981项和eqIdebb2ef32215d4ae8bdad3d48ce6e56aeeqId532dc4d959024b79b546428f5856e5aa,在等差数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63中,eqIddee2c3b6fe174597aa427706a2ff72d1eqId72b2b72f56254b08ac4e58a939569d3d.
(1)求eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)求数列eqId6300a02cb0914646a930e9f417e396ca的最大值.
解答题 | 一般(0.65) | 2021·全国高三其他模拟(理)
6 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId0cafb8ff25884daeb61a948f2215c58f.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)设数列eqId93e38ecd74a24cb59da79181b95bfd3a的前项eqId5f904d1376ac4de7a7d6cfea92ff6981和为eqIddb5481de79c946c0a760143297d5eade,若eqId5ef7a0360acc408699d29adbdf27e507恒成立,求实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围.
7 . 已知eqIddb5481de79c946c0a760143297d5eade是数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和,且满足eqId689b6717af1444009c750f8670136c39eqId532dc4d959024b79b546428f5856e5aa成立.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)设eqId833d3767dede4642913693ec926a8272eqId92ed363a54bd4a8a93df9463bb3af1f5是数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前n项和,求使得eqId005d797629d94c8b8f693add30e04f6e恒成立的正整数n的最小值.
解答题 | 较易(0.85) | 2021·河南洛阳市·高三三模(理)
8 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqId92478644b29a4a0e8470a8c89d31b49f项和为eqIddb5481de79c946c0a760143297d5eade,且对任意的eqId532dc4d959024b79b546428f5856e5aa,都满足eqId52189bc650924b05bc2bc1f3ec969da5eqId75ab32f55faf49dda66e74ca6516d7b4
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的最小项的值.
多选题 | 较易(0.85) | 2021·河北衡水中学高三其他模拟
9 . 已知数列eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId3e293183177f4e8497da4cc277d8edd4,下列命题正确的有(   )
A.当eqId6aaa1e6a251b49929e81adbebd212134时,数列eqId93e38ecd74a24cb59da79181b95bfd3a为递减数列
B.当eqIdeb4742e3b099462abb05f23444c576ba时,数列eqId93e38ecd74a24cb59da79181b95bfd3a一定有最大项
C.当eqIdc18c9d87060143189af2203d0b8fc3ca时,数列eqId93e38ecd74a24cb59da79181b95bfd3a为递减数列
D.当eqId66f98a6fae954ed7b9dc55b73ef777f9为正整数时,数列eqId93e38ecd74a24cb59da79181b95bfd3a必有两项相等的最大项
解答题 | 一般(0.65) |
10 . 已知数列{an}的通项公式是an=(n+2)×eqId33f8d6edd3864c31aa4d437133552df1 (nN*),试问数列{an}是否有最大项?若有,求出最大项;若没有,说明理由.
更新:2021/04/21组卷:222
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