1 . 已知数列
的首项
,且
,则
为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac8419cf6c0e1d70ea5f5a9eb6dad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a782dece1dfb04fc8b2e5c02bc4e8854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 一个数列的前n项之和为
,那么它的第n项为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366fcb4e6ecb4335255dfee26f0d298e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 已知数列
,
满足
,
,
,且对任意的正整数
,
,
,
,当
时,都有
,则
(注:
)的值为( )
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd666a778937b0f321b8a54c29db8171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f619bd7a8eaf48ce2cd3f27ac73c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c950832f3432ef88a7d0c82da3fba5f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82add3c2f480d0c092f497a32c6da3e9.png)
A.2012 | B.2013 | C.2014 | D.2015 |
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4 . 已知数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)设
,
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.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/f649d7212545c05dbf2a88bca1b32d13.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be7a6c8c54afc464593a66ade47fb72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd10e544e0214687406f6c6dbc803f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c522c1c881528ab6f9708f6bdd4c4db5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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5 . 数列
满足
与
(
与
分别表示
的整数部分与分数部分),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122767ebd531bf1bb6a718ff63567a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ed1465c2469cd518a13802bf6044fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9507c0be8c53a2c12090d8ab29f4db41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43432d71da42af831e724879b582cc45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065054f4e163585d630aa42cb6323a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/122767ebd531bf1bb6a718ff63567a87.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 已知数列
的前
项和为
,且
(
),数列
满足
(
).
(1)求
,
;
(2)求数列
的前
项和
.
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/27909ca91e0c47fa8f7a2f8549a415b1.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/fca1e319b4e44791b207dd043bd95bb1.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/0239d1a7324c4696bf71e23815ee678f.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/736b369765854d2a87f6561d28b8808c.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/dd871ee19b6048359827ba6f164907d0.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/a08b403cfde4487faf1858e9bc952f90.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/818eec62d17f45879852c0a7a4bd8ff5.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/dd871ee19b6048359827ba6f164907d0.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/b1d20ff792ff43beb5a3fb29afb52956.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/be1948322d4e4fbc906b40a3556d1546.png)
(2)求数列
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/ef6a96c488764160a5f3f63e07864c58.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/fca1e319b4e44791b207dd043bd95bb1.png)
![](https://img.xkw.com/dksih/QBM/2016/11/11/1573141781913600/1573141788319744/STEM/9942c10aec50435584e1fdfa0cc80b77.png)
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7 . 已知数列
满足
,数列
满足
,
,则数列
的前
项和
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5015194ad44763ef38a7ba369d564b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5473580703e7cdac15ccc76141188338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410fa4de6b487ac557f69d647c7458af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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8 . 设数列
的前
项和为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
.
(1)求数列
的通项公式;
(2)若
,求数列
的前项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6fd490b4da4b67334d1408260fa8f68.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d769d3f675cb3566ab6372aebb623368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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9 . 已知f(x)=3x2-2x,数列{an}的前n项和为Sn,点(n,Sn)(n∈N*)均在函数y=f(x)的图象上.
(1)求数列{an}的通项公式;
(2)设bn=
,Tn是数列{bn}的前n项和,求使得Tn<
对所有n∈N*都成立的最小正整数m.
(1)求数列{an}的通项公式;
(2)设bn=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042c7fd042590a5bb8cd9823bfa3b1ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281533d620b5a5c12842fb4b443abd23.png)
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2016-12-04更新
|
1914次组卷
|
11卷引用:河北省沧州市第一中学2019-2020学年高一下学期期末数学试题
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10 . 已知数列
的前
项和为
,满足
,则数列
的通项![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/a58a7946ee98c080340fb2fe5b50dc5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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