名校
解题方法
1 . 已知等差数列
满足
,则其前10项之和为 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5570ceb50c1d7f949fa79988d0abdbb7.png)
A.140 | B.280 | C.68 | D.56 |
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名校
解题方法
2 .
是数列
,
,
,-17,
中的第几项( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4d49146f9d6c8b29896fc49b408e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13ce3ebd1112220c639562739f1f9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aab28a20b5bf47040aaec03b1eb550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77424dbdd740737b4ec75d62cdd08b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
A.第![]() | B.第![]() | C.第![]() | D.第![]() |
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名校
解题方法
3 . 已知等差数列
的前
项和为
,若
,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/ccc07cce72ddebd9802c4e37df4b3c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62f3e21b51b09148091b5e460314d617.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-03-16更新
|
725次组卷
|
2卷引用:天津市五校2021-2022学年高二上学期期末联考数学试题
名校
解题方法
4 . 已知
满足
,
.
(1)求证:
是等差数列,求
的通项公式;
(2)若
,
的前
项和是
,求证:
.
![](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/f0995730f94c8145c8974646f7db9878.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bdbde4eb7e4d4033bb9053b6c806e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1167a1fd44aa9ec7ce730dc7f75a3a.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d76c3eb0a07a827877d7a4dc306211.png)
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2022-03-16更新
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914次组卷
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2卷引用:天津市五校2021-2022学年高二上学期期末联考数学试题
5 . 已知数列
中,
,且满足
.
(1)求证数列
是等差数列,并求数列
的通项公式;
(2)求数列
的前n项和
.
![](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/2ee995588e1465c55c7b6e9e928da489.png)
(1)求证数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bdbde4eb7e4d4033bb9053b6c806e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2022-03-15更新
|
1440次组卷
|
4卷引用:天津市河西区2021-2022学年高二上学期期末数学试题
6 . 将数列
中的各项依次按第一个括号1个数,第二个括号2个数,第三个括号4个数,第四个括号8个数,第五个括号16个数,…,进行排列,
,
,…,则以下结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000878a4785933077d2047002ceefe64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84c2db79de427f0ce81bec052dceb58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a638c53d3ad08e1a12f8278f641398ec.png)
A.第10个括号内的第一个数为1025 | B.2021在第11个括号内 |
C.前10个括号内一共有1025个数 | D.第10个括号内的数字之和![]() |
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7 . 已知
,若
三个数成等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
_________ ;若
三个数成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d846465eb1b3b92f9163c5210ad0b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
您最近一年使用:0次
8 . 已知数列
都是等差数列,公差分别为
,数列
满足
,则数列
的公差为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2f1c1409a06278e847e6b573cef254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af8da31b4413a4906089446c64e41cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
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9 . 公差不为零的等差数列
中,已知其前n项和为
,若
,且
成等比数列.
(1)求数列
的通项
;
(2)当
时,求数列
的前n和
.
![](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/92b2315e3c0cdab972facd98649c36d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d179ded498d29710e3d7c9a036f1f46.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ec386f0f3ddad65efa9fac2d5bc5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2022-03-15更新
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2卷引用:天津市南开区2021-2022学年高二上学期期末数学试题
10 .
是首项和公差均为3的等差数列,如果
,则n等于( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bde7ee68f972822f7f83840d2d6b0ba.png)
A.671 | B.672 | C.673 | D.674 |
您最近一年使用:0次
2022-03-15更新
|
1104次组卷
|
2卷引用:天津市南开区2021-2022学年高二上学期期末数学试题