1 . 已知集合
,
,
,集合
,将集合D中所有元素从小到大依次排列为数列
,
为数列
的前n项和.集合
,将集合E的所有元素从小到大依次排列为数列
.则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51fbdfa0ffc3b23ba28d150c4ca97fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f7a7124e05bdf628bca3fd0e21914c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb13d3a1a38c1a5bcd6b33bec963f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daaf64d8a4a57ddd03c2718d775fc34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55fa10a8b27c1b17d5b00b91d8cdbee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
A.![]() |
B.![]() |
C.![]() |
D.若存在![]() ![]() |
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名校
2 . 定义:若数列
满足,存在实数M,对任意
,都有
,则称M是数列
的一个上界.现已知
为正项递增数列,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5612ce06759d0f77ca029d10083f7d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a8af30dd573218da62ff8c99b99d19.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2023-05-31更新
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3卷引用:辽宁省辽东十一所重点高中联合教研体2024届高三高考适应性考试模拟数学试题
解题方法
3 . 已知数列
中,
,且点
在函数
的图像上,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44042d110ad8bf676c2785c2b1f9a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f762c96e3ac6d45248ff06ebd7a6e0d8.png)
A.数列![]() | B.![]() |
C.![]() | D.![]() |
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4 . 已知数列
的通项公式为
,等比数列
满足
,
.
(1)求数列
的通项公式;
(2)记
,
的前n项和分别为
,
,求满足
(
)的所有数对
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff1c33b81ac2f065d37faef37504bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0522edc4e89f72f6e6c270e4ca1512b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d1d8d7860ec08b12d6511d2c9861e6.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90beabdaa7194b069eac5a6c09ee507a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a436202130406d0599b746ed6d3a93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd5d284a947adfd658cfdc2bc24b5d1.png)
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2023-01-14更新
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5卷引用:辽宁省教研联盟2023届高三下学期第二次调研测试数学试题
5 . 等差数列
的首项
,公差
,数列
中,
,
,
,已知数列
为等比数列.
(1)求
的通项公式;
(2)记
为
的前
项和,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b71ef6cb9c5d494692d40a9ef279f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a79c23429da6d3e02f63a83541529a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922a5b18c373a772d3336a7989364a0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8e3d93a73678ab186ea7951c39b841.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9718c967bffe0a4e7d387aea1dcf599c.png)
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2022-10-29更新
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2卷引用:辽宁省丹东市2022-2023学年高三上学期总复习第一次阶段测试数学试题
名校
6 . 若数列
满足
,
,
,则称数列
为斐波那契数列,斐波那契数列被誉为是最美的数列.则下列关于斐波那契数列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87915a5a9331d947324d608f3d719a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-05-20更新
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4卷引用:辽宁省铁岭市六校协作体2021-2022学年高二下学期期末联考数学试题
7 . 已知在
中,
分别是边
的中点,
分别是线段
的中点,
分别是线段
的中点,设数列
满足
,给出下列四个结论,其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8454989732716850cb57ca15f8ef596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41c2d59b1a00a9d42a37d3398292e07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ee712dfc82e1acc31ef8dcad479a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c310c5b7fdc99b31f0bfc06e31c8105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbda71248f84ab4d775b4ba2baf5212b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c962315b234f6e2bdea7bcec802467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942ed174dfdafaf5f0a68cac579110f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee11b59a169d14463c0e31a8189fad7.png)
A.数列![]() ![]() |
B.数列![]() |
C.数列![]() |
D.若在![]() ![]() ![]() ![]() |
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2021·全国·模拟预测
名校
8 . 黎曼猜想由数学家波恩哈德·黎曼于1859年提出,是至今仍未解决的世界难题.黎曼猜想研究的是无穷级数
,我们经常从无穷级数的部分和
入手.已知正项数列
的前
项和为
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec91c6daca11029246eb0b312a6adde.png)
______ (其中
表示不超过
的最大整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad49d608c80681121c130bfe174eac40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dae3f43e195025f1d86d1f5f5e80aa61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9583a4d9bf7b954042226232d23a8c19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec91c6daca11029246eb0b312a6adde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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