名校
1 . 两个等差数列
,
的前n项和分别为
和
,已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d73dab898bafa3adea84f50001b3d8.png)
______ .
![](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/de3a95f5e1042a10960d7774bdd00674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d73dab898bafa3adea84f50001b3d8.png)
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2023-05-21更新
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6卷引用:江西省宜春市樟树市清江中学2022-2023学年高二下学期5月期中考试数学试题
江西省宜春市樟树市清江中学2022-2023学年高二下学期5月期中考试数学试题辽宁省沈阳市第二十中学2022-2023学年高二下学期4月月考数学试题(已下线)专题4 等差数列的性质 微点2 等差数列前n项和的性质(已下线)第02讲 等差数列及其前n项和(十大题型)(讲义)-1辽宁省辽西联合校2024届高三上学期期中数学试题(已下线)4.2 等差数列(1)
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解题方法
2 . 设等差数列
,
的前n项和分别为
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9994bf38072d38dac46f2ddf729f025.png)
______ .
![](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/a0fa7b9ecd368d6d7980e5545e75c8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9994bf38072d38dac46f2ddf729f025.png)
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2023-04-15更新
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8卷引用:江西省赣州市六校联盟2022-2023学年高二下学期5月联合测评数学试题
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3 . 已知两个等差数列{an}和{bn}的前n项和分别为Sn和Tn,且
=
,则
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42966744fee401161be5bfaadc31d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b89433a9fedb791968209a69e1644c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8bb1bc4a6611d69df87111c06687cfa.png)
您最近一年使用:0次
名校
4 . 首项为正数,公差不为0的等差数列
,其前
项和为
,现有下列4个命题:
①若
,则
;
②若
,则
;
③若
,则
中
最大;
④若
,则使
的
的最大值为11.
其中所有真命题的序号是__________ .
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d77bb6b1a5ca128223c897cf09ba19d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8068eadc82d20e4897574a99b47de079.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b091385f1e58c9ba795bc0605b3ddbe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d35ade9a4a68d094a4299d0b7c2a767.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36a8570f5084bbed7bc6bc88a6f22fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194592cb77de8a597d5d64e1c85c3249.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b6911f467cc7eb9b3b597be778c445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49763402b2f2023f0ba64c37924267d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
其中所有真命题的序号是
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2023-02-19更新
|
948次组卷
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5卷引用:江西省南昌市第五中学2022-2023学年高二下学期第一次月考数学试题
江西省南昌市第五中学2022-2023学年高二下学期第一次月考数学试题河南省洛阳市2022-2023学年高二上学期期末考试数学(文科)试题河南省洛阳市2022-2023学年高二上学期期末考试文科数学试题(已下线)专题5 等差数列的单调性和前n项和的最值问题 微点2 等差数列前n项和的最值的求法(已下线)单元提升卷08 数列
名校
解题方法
5 . 已知等差数列
的前
项和分别为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba6631f75636aeafa648d99729aa5b6.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6dcba920904a03e3f950e962cc8c7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478421b81927e435cbcf5acafa89efd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5535e62477510d0a944f61ab9f09059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba6631f75636aeafa648d99729aa5b6.png)
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2卷引用:江西省南昌市豫章中学2021-2022学年高二上学期入学调研(A)数学(文)试题
解题方法
6 . 首项为正数的等差数列,前
项和为
,且
,当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
________ 时,
取到最大值.
![](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/277d63e2ebf03b22f9f110b436342043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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6卷引用:江西省南昌一中2018-2019学年高一下学期3月月考数学试题
江西省南昌一中2018-2019学年高一下学期3月月考数学试题(已下线)4.2.2 等差数列前n项和2课时(已下线)第08练 等差数列-2022年【寒假分层作业】高二数学(苏教版2019选择性必修第一册)(已下线)第02讲 等差数列及其前n项和 (练)-2023年高考数学一轮复习讲练测(新教材新高考)(已下线)专题24 等差数列及其前n项和-2(已下线)4.2.2等差数列的前n项和(第2课时)(分层作业)-【上好课】2022-2023学年高二数学同步备课系列(人教A版2019选择性必修第二册)
7 . 已知数列
、
均为正项等比数列,
、
分别为数列
、
的前
项积,且
,则
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/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15520cf5be7c2685975aac51bc99ac4f.png)
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2203ab7787c75ad0f1f5406954764a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70dbf23ba7c7eb6b33c22459aecb4313.png)
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2021-02-05更新
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9卷引用:江西省上饶市2021届高三第一次高考模拟考试数学(文)试题
江西省上饶市2021届高三第一次高考模拟考试数学(文)试题江西省宜春市第九中学2020-2021学年高二下学期第一次联考数学(理)试题上海市2021届高三高考数学押题密卷试题(06)(已下线)解密10 等差数列、等比数列(分层训练)-【高频考点解密】2021年高考数学(文)二轮复习讲义+分层训练(已下线)押第14题 数列小题-备战2021年高考数学(理)临考题号押题(全国卷2)(已下线)6.1 等差数列(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)考向15 等比数列-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)专题25 等比数列及其前n项和-2(已下线)第三节 等比数列 (讲)
名校
8 . 已知等差数列
,
的前
项和分别为
和
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba6631f75636aeafa648d99729aa5b6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b295a426688c8b348635658fdb46fc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba6631f75636aeafa648d99729aa5b6.png)
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9 . 记等差数列
和
的前
项和分别为
和
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d856c8e6e105145df28ba69491512fad.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d477df658418c86bc7935287c4a3d343.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d856c8e6e105145df28ba69491512fad.png)
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2020-03-09更新
|
632次组卷
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4卷引用:2020届江西省高三上学期第二次大联考数学(文)试题
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10 . 已知数列
是等差数列,
是其前
项和,若
,则
=__________ .
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1ef2d04d4d26c97e281275adaa21ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315a80ab945c3bd26cdf8ce9760871bb.png)
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2018-04-03更新
|
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2卷引用:江西省南康中学2017-2018学年高一下学期第一次月考数学(理)试题