1 . 已知在数列
中,
,数列
的前
和为
,
为等差数列,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f586e220bf51df3e75588401bd218f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70aa62d5dd947ec4d99ad3ef597937d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6db56a8cf94466b625e1b84e14f6b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70aa62d5dd947ec4d99ad3ef597937d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6069438f02536dcdae87164fa519a1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31f6be2db9aeaf5d01d99e85dd7d149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f586e220bf51df3e75588401bd218f.png)
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2024-04-08更新
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2卷引用:山东省菏泽第一中学八一路校区2023-2024学年高三下学期三月份月考数学试题
2 . 已知等差数列
的前
项和为
且
,则
的值为__________ .
![](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/6de6adfb5c0c472a405cc135f036be6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b24e22503480d88ec847c9bc1be5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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名校
解题方法
3 . 某学校报告厅共有20排座位,从第2排起后一排都比前一排多2个座位.若第10排有41个座位,则该报告厅座位的总数是______ .
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2024-01-24更新
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531次组卷
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2卷引用:山东省高中名校2024届高三上学期统一调研考试数学试题
4 . 在各项均为正数的等差数列
中,
,
,
,
成等比数列,保持数列
中各项先后顺序不变,在
与
(
)之间插入
个3,使它们和原数列的项构成一个新的数列
,记
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba6cfe16dc048f56fe123b49c6f12b33.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7804d62e52b2254fc3ac4e5f64b508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329eeaf5a8942b1e4865eb8fbbc4da7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217b927efe12a98e1082ecd7f035b921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d5d5ee1e931d962c6cec789137fa11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98aa5f1acb67ec4580d240c2525e4d5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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/ba6cfe16dc048f56fe123b49c6f12b33.png)
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2024-01-17更新
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420次组卷
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4卷引用:山东省菏泽市鄄城县第一中学2023-2024学年高二上学期1月月考数学试题
名校
解题方法
5 . 已知
是公差为2的等差数列,其前
项和为
,
是
与
的等差中项,则
=______ ;设
,若对![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dac463bbb7375dbf8e2246f9a6f0d9.png)
,使得
恒成立,则
的取值范围为 ________
![](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/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc29ee719feeedfbc8c529cf11348abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e4ea40fa7843df0595ccf6fec2d13f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dac463bbb7375dbf8e2246f9a6f0d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf5776ec7059c208daf01ca48a34915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68e7d8df5da4e2e5906aafaac298751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2024-01-09更新
|
630次组卷
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3卷引用:山东省潍坊市昌邑市第一中学2024届高三上学期模拟预测数学试题
名校
6 . 已知正项等差数列
中,
,其中
,6,
构成等比数列,
,数列
的前
项和为
,若
,不等式
恒成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d93c1ae7b22099a5d4c1c4241e5ca18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8365233f341451598eb50525a1557a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d30793e17f7b00abfa51ef3b213ddbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2024-01-06更新
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5卷引用:山东省菏泽市定陶区第一中学2023-2024学年高二上学期期末模拟数学试题
山东省菏泽市定陶区第一中学2023-2024学年高二上学期期末模拟数学试题湘豫名校联考2023-2024学年高二上学期1月阶段性考试数学试题广东省珠海市第一中学2024届高三上学期大湾区期末预测数学试题(二)河南省商丘市第一高级中学2023-2024学年高二上学期1月份半月考数学试卷(已下线)考点6 等比数列的前n项和的性质 2024届高考数学考点总动员【练】
7 . 已知等差数列
满足
,
,则数列
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ ;若数列
的前n项和为
,则使
的最大正整数n为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3af4204cbd59c0bc15f5d83b240a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10c12b130a84039712887dd9064d12b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6603814ac39b169453607671158d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9261093be00af4fd03415b2b169260a0.png)
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解题方法
8 . 已知等差数列
中,
,则数列
的前2024项和__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d4d54a8ac1aa7b6843a2c948503ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94e1457095965893ab652693c86a46e.png)
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解题方法
9 . 已知等差数列
的前n项和为
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9109c39ec27f72b24d2a3db77ecf45.png)
,则
的最小值为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad9109c39ec27f72b24d2a3db77ecf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d227579330dfb6883861d3d0489107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d945c0db0492a3b656df1daea63ca6c4.png)
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11-12高二上·福建泉州·期末
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10 . 已知等差数列
的公差为2,若
成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920ad6b9e7f1c2c4a5a3025ba57e71b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
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2023-12-18更新
|
1201次组卷
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13卷引用:山东省德州市第一中学2024届高三上学期期末数学试题
山东省德州市第一中学2024届高三上学期期末数学试题(已下线)2011年福建省安溪一中、惠安一中、养正中学高二上学期期末考试数学理卷2016-2017学年安徽合肥一中高二开学考试数学试卷2017届广东省仲元中学高三9月月考数学(文)试卷【校级联考】安徽省阜阳三中2018-2019学年高二上学期第一次调研考试数学(文)试题(已下线)第2章 2.3.1 等比数列(二)(分层训练)-2018-2019版数学创新设计课堂讲义同步系列(人教B版必修5)【全国百强校】黑龙江省双鸭山市第一中学2018-2019学年高一下学期期中考试数学(文)试题上海市宝山区2016-2017学年高一下学期期末学情调研数学试题上海市行知中学2015-2016学年高一下学期6月月考数学试题沪教版(2020) 选修第一册 同步跟踪练习 第4章 4.2(1)第2课时 等比数列通项公式的应用人教A版(2019) 选修第二册 数学奇书 第四章 数列 4.3等比数列 4.3.1 等比数列的概念 第2课时 等比数列的性质及应用云南省曲靖市师宗平高学校2023-2024学年高二上学期12月月考数学试题云南省昆明市禄劝彝族苗族自治县第一中学2023-2024学年高二下学期3月月考数学试题