23-24高二下·全国·课后作业
1 . 已知各项均为正整数的递增数列
的前n项和为
,若
,
,当n取最大值时,
的值为( )
![](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/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002c4dbceae03a13e46296f25816059a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
A.10 | B.61 | C.64 | D.73 |
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解题方法
2 . 已知等差数列
满足
.
(1)求
的通项公式;
(2)设
,数列
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3487045242521c33d9e2568095758ca.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5743a8ee0abcb9347ca1e1c635f2e744.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/f42d453a54fdd25060ff2c28b15c0f9b.png)
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解题方法
3 . 已知数列
的前n项和为
.若
为等差数列,且满足
,
.
(1)求数列
的通项公式;
(2)设
,求
.
![](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/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01340bbc0a6719daedfe9465947a97f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f13788313fbdfbb144bbe563c1e2795.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b089110de673910648bffbe0bf2316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2024-03-03更新
|
1713次组卷
|
6卷引用:4.2.2 等差数列的前n项和公式——课后作业(基础版)
(已下线)4.2.2 等差数列的前n项和公式——课后作业(基础版)广东省珠海高新区青鸟北附实验学校2023-2024学年高二上学期第一次月考数学试题辽宁省沈阳市辽宁实验中学北校2023-2024学年高二下学期4月阶段测试数学试题山东省德州市齐河县第一中学生态城校区2023-2024学年高二下学期4月月考数学试题(已下线)专题02等差数列及其前n项和7种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(北师大版2019选择性必修第二册)浙江省绍兴市柯桥区2024届高三上学期期末教学质量调测数学试题
名校
解题方法
4 . 已知等差数列
的公差
,
,
,记该数列的前n项和为
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9c0e0f3f5a691681971f5ebdf4a680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232faf3b3aa63b4708168a3883dc2ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.20 | B.24 | C.36 | D.40 |
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2024-02-24更新
|
1508次组卷
|
11卷引用:4.2.2 等差数列的前n项和公式——课后作业(巩固版)
(已下线)4.2.2 等差数列的前n项和公式——课后作业(巩固版)河南省周口市西华县第一高级中学等校2023-2024学年高二上学期一月联考数学试题(已下线)专题04 数列(1)河北新乐市第一中学等2023-2024学年高二上学期期末联考数学试卷河北省石家庄市赵县七县联考2023-2024学年高二上学期期末数学试题(已下线)第五章:数列章末重点题型复习(1)黑龙江省大兴安岭实验中学(东校区)2023-2024学年高二下学期期初考试数学试题四川省成都市第四十九中学校2023-2024学年高二下学期3月月考数学试题黑龙江省实验中学2023-2024学年高二下学期4月考数学试题湖南省永州市部分学校2023-2024学年高二下学期6月质量检测卷数学试题江西省赣州市南康中学2024届高三上学期七省联考考前数学猜题卷(七)
解题方法
5 . 图1是第七届国际数学教育大会的会徽图案,会徽的主体图案是由如图2所示的一连串直角三角形演化而成的,其中
,如果把图2中的直角三角形继续作下去,记
,
,…,
的长度构成的数列为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60733091d0925b590f9cab6be1f71694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4195334905e2f190f958dbf5951456f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c76916c6ff302cf4fb4b6ace5bb3a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337d0dc1076cfdb02ffb40bf4dac0d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acca5aa6b2285d897a65c289c1b54ba.png)
A.![]() | B.1 | C.10 | D.100 |
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6 . 在等差数列
中,p,
,且
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df119858cb90f58bf3a29c1ccf0a94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14e88b76e8fbfed5a6b57a9e708fc21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf2ac3bcc1cc2cf804a3f7d4fd7fafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500aadf4ea4768d81259aaa8ab3046e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab0b3aa7c5ae6643d8bb704d16f2c3b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 记
为等差数列
的前n项和.若
,则数列
的前2024项和为( )
![](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/999416f56cb9343a5f7d1c67b7558ea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcbed45abaf91085202ed55d1a19000e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-13更新
|
808次组卷
|
4卷引用:4.2.2 等差数列的前n项和公式——课后作业(提升版)
(已下线)4.2.2 等差数列的前n项和公式——课后作业(提升版)陕西省2024届高三教学质量检测(一)文科数学试题陕西省2024届高三教学质量检测(一)理科数学试题(已下线)第2讲:复杂数列通项和求和【讲】
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解题方法
8 . 已知数列
为等差数列,
,且数列
是公比为2的等比数列,
.
(1)求
,
的通项公式;
(2)若数列
满足
,将
中的项按原有顺序依次插入到数列
中,使
与
之间插入2项,形成新数列,求此新数列前面20项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bb657330b0b5c98ec7417aa2eeca8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e307272c5da00d0e1ea43f67e56cffe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab0309e2cd35585ea9fb2cc3017abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/268148dc9bc66a141cd23f648ca5da87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ab0309e2cd35585ea9fb2cc3017abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233427826eb2233641fc3a9805f6d206.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f0264a379802edcf7d2a030f02606e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f710b0e6ccca316852bf3a94f68135.png)
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9 . 若数列
满足
(
),且
,
,则当
的前n项和取到最大值,n的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3dcec91897ae20800fb6912b207ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366dfedff1a1a96ec27650375b680059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768fef3a7ee776a663424916c1fa968c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.5 | B.6 | C.7 | D.8 |
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10 . 设
为等差数列
的前
项和,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd228d062d4085e949535cc73bae014.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8657a9f3eec0c1b0efa818f778129e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdba8a48eec7c0b90e22fa478d8f0ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd228d062d4085e949535cc73bae014.png)
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