解题方法
1 . 数列
共有11项,前11项和为
,且满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87df689b605e7a283b56d454c3736a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287677857a72608594f7202d06680991.png)
A.![]() |
B.![]() |
C.所有符合已知条件的数列![]() ![]() |
D.符合已知条件且满足![]() ![]() |
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2 . 已知数列与数列
满足下列条件:①
,
;②
,
;③
,
,记数列
的前
项积为
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebaf2a2590bb84d646957f913d78f6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5359c8fdc022d7044ffb6fdb291666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3af4204cbd59c0bc15f5d83b240a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2da0ff9dc73d62f8162fc3de186150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2114a0fe21dc0e5bf831c146ef02b113.png)
(2)是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57483e04fd1840c87ac5325157149877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a548938d87c80ac47910607d3857007f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00136ab4fd69ba9c28b47cd38442dc3a.png)
您最近一年使用:0次
2024-03-25更新
|
561次组卷
|
3卷引用:湖南省长沙市第一中学2023-2024学年高三下学期2月开学考试数学试卷
湖南省长沙市第一中学2023-2024学年高三下学期2月开学考试数学试卷(已下线)高考数学冲刺押题卷03(2024新题型)四川省成都市成华区嘉祥外国语高级中学高2023-2024学年高二下学期3月月考数学试题
3 . 斐波那契数列又称为黄金分割数列,在现代物理、化学等领域都有应用,已知斐波那契数列满足
,则以下结论中错误的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 已知数列
的前
项和为
,且满足
,则下面说法正确的是( )
![](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/4e4350dddc7cca2eac5f2671c6ea8370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828b4142a96cff6147c83bf2238c102a.png)
A.数列![]() | B.数列![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-24更新
|
843次组卷
|
2卷引用:湖南省长沙市明德中学2023-2024学年高二下学期开学考试数学试卷
名校
解题方法
5 . “
”表示实数
整除实数
,例如:
,已知数列
满足:
,若
,则
,否则
,那么下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ea1aed56c455d77bd3c96b9129d1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e1c681b27df538bd4742f6cd8298ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cefeddf71dca8ae824328df3f0e5e1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c185ce550ab6fa8f0226e237d6d881d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5520432944173c414edf716f22c41067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3172a2dfbce3ce32fd909ff548e75b26.png)
A.![]() | B.![]() |
C.对任意![]() ![]() | D.存在![]() |
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解题方法
6 . 已知数列
满足
,记数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec0e5e3cefcd15faed8eddaf54f46554.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/780019495df34d40fff9d8f31bbf3e74.png)
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7 . 已知数列
的前
项和为
,且满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/04a86742cdd58287a55e5a4d56bb7418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知数列
满足:
,当
时,记
,
. 给出如下4个结论:
①
;
②当
,数列
是递增数列;
③当
时,存在正数
使得
;
④集合
.
其中正确命题的序号是_____________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137b6d631154f8168c24392b1ac7877b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e8f0be7c95da25ea43651ccd1be9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2132d3e34d67f365a2ca865f06e4cad5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690af67e931cb1ede3b8621381533381.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfe735337dbdc8d03ffd256dcf0d745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bccd1cd197fe11142eff07cce9244c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a74f1527e334b30f6c447a67945ef3d5.png)
④集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5560778cd081af25e0c8d0223d2f3e07.png)
其中正确命题的序号是
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9 . 已知正项数列
满足
,则下列结论一定正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbec629aa101ae6a78df2a0201118ff.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若数列![]() ![]() ![]() | D.若![]() ![]() ![]() |
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10 . 数列
的前
项和为
,满足
,则
( )
![](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/29795e58d4269fcb99617ccb3a5ff5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614306cc3f34bdee4d5d885b79667645.png)
A.30 | B.64 | C.62 | D.126 |
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