名校
1 . 已知等差数列
的公差为
,首项
,那么“
”是“集合
恰有两个元素”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662fbf0ed9df0da17995bb9055ae9eaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d6b50f94f2723bf847e1a6b432d12f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c1517a5d3769dfa9ce423766e3e571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdf8db3ae800979b5389c0a95a0574f.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-04-24更新
|
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2卷引用:辽宁省鞍山市第一中学2024届高三下学期八模数学试卷
名校
解题方法
2 . 在各项均为正数的等比数列
中,
,
,
,
成等差数列.等差数列
满足
,
.
(1)求数列
,
的通项公式;
(2)求数列
的前n项和为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d06c4c983a667f2af465378c9642b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39222f0687c9124bddb35544bcc7798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d235803ce8e904b2017313dac3ac8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b978c76c7fe804c69c026f513c2f703a.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4f055d809f5945218210e4dd38547b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2022-10-13更新
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4卷引用:辽宁省鞍山市第一中学2023届高三上学期二模考试数学试题
3 . 已知等差数列
满足首项为
的值,且
.
(1)求数列
的通项公式;
(2)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2732d4e0e4de64438af07fd35cdb9380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716c17463008cce9c8c6e4c14c8c6131.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2022-09-09更新
|
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|
3卷引用:辽宁省鞍山市2022-2023学年高三上学期第一次质量监测数学试题
名校
解题方法
4 . 已知等比数列
的公比
,且
,
,等差数列
的前
项和为
,且有
,
.
(1)求数列
,
的通项公式;
(2)设
,
是数列
的前
项和,对任意正整数
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b0c9b657e5937ef250ce983c3e6121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329785900390130a04a57d0b55aaa569.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/4bb42e0dc5553b5200cf43db365c2cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc5a47eb206ee12c7f65ea26fc26e90.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b67af73f586837594ab0db4b89baed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d3304c69f51000da2d90c60f320134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-11-28更新
|
1161次组卷
|
4卷引用:辽宁省鞍山市第一中学2022届高三下学期六模考试数学试题
名校
解题方法
5 . 设
是首项为
,公差为-2的等差数列,
为其前n项和,若
,
,
成等比数列,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
A.8 | B.-8 | C.1 | D.-1 |
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2020-03-24更新
|
438次组卷
|
9卷引用:辽宁省鞍山市第一中学2018届高三上学期第一次模拟考试数学(文)试题1
辽宁省鞍山市第一中学2018届高三上学期第一次模拟考试数学(文)试题1辽宁省鞍山市第一中学2018届高三上学期第一次模拟考试数学(文)试题2甘肃省第一中学2019-2020学年高二上学期10月月考数学试题辽宁省实验中学东戴河分校2019-2020学年高二上学期10月月考数学试题甘肃省天水市第一中学2019-2020学年高二上学期第一学段考试数学(文)试题甘肃省天水市第一中学2019-2020学年高二上学期第一学段考试数学(理)试题2020届四川省南充市阆中市阆中中学高三上学期期中数学(文)试题(已下线)狂刷26 数列的综合应用-学易试题君之小题狂刷2020年高考数学(理)陕西省咸阳市武功县普集高级中学2019-2020学年高二上学期第一次月考数学试题
名校
6 . 设等差数列
满足
,则数列
的前n项的和等于_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d61c1be5b10f87139286478dafb8a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6898ff6d7bfaf108182704a4fce0c5e4.png)
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2019-02-01更新
|
974次组卷
|
3卷引用:【全国百强校】辽宁省鞍山一中2019届高三高考三模试卷数学(文科)试题
名校
解题方法
7 . 等差数列
的公差为2,若
,
,
成等比数列,则数列
的前
项![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
2017-12-07更新
|
612次组卷
|
3卷引用:辽宁省鞍山市第一中学2018届高三上学期第二次模拟考试(期中)数学(理)试题
名校
解题方法
8 . 已知数列
中,
,
,且
,
,
成等比数列,数列
满足
.
(1)求数列
的通项公式;
(2)设
是数列
前
项和,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a0eecb5b800fce9ae10aed86ffee62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0a6acd7996ccc71570b11bd081be48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b3d3d00aeaa5f11deaffdd9cfcef77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62171b7089e69645ad662c909a6d557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91187adf1a655d60580f3ff6fdc0455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f21752c627f5c3a588d88184dd221163.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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)
您最近一年使用:0次
2017-03-11更新
|
434次组卷
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3卷引用:辽宁省鞍山市第一中学2017届高三下学期最后一次模拟考试数学(文)试题
9 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
为等差数列,且
(Ⅰ)求数列
的通项公式;(Ⅱ)记
的前
项和为
,若
成等比数列,求正整数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8290820f6aa1e1a19ee3c97cc56a7f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://img.xkw.com/dksih/QBM/2012/6/20/1570894703083520/1570894708629504/STEM/937673f5ffd94b2291e1834995d422e8.png)
![](https://img.xkw.com/dksih/QBM/2012/6/20/1570894703083520/1570894708629504/STEM/a50fae04055a4648b2be3b269d870c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107b678af68f3014c0f7b02120a283d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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16卷引用:辽宁省鞍山市第一中学2018届高三上学期第一次模拟考试数学(文)试题1
辽宁省鞍山市第一中学2018届高三上学期第一次模拟考试数学(文)试题1辽宁省鞍山市第一中学2018届高三上学期第一次模拟考试数学(文)试题22012年全国普通高等学校招生统一考试文科数学(重庆卷)(已下线)2013届山东省兖州市高三9月入学第一次诊断检测文科数学试卷(已下线)2012-2013学年福建省莆田八中高二上学期期中考试文科数学试卷(已下线)2012-2013学年福建省师大附中高二上学期期末考试文科数学试卷(已下线)2013-2014学年河北省邢台一中高一下学期第一次月考理科数学试题2015-2016学年广东省湛江一中高二上学期期末文科数学试卷上海市川沙中学2016-2017学年高一下学期期末数学试题上海市交大附中2018-2019学年高一下学期期末数学试题江苏省南通市海安市2020-2021学年高二上学期期中数学试题贵州省黔西南州兴义市第二高级中学2020-2021学年高二上学期期末考试数学(文)试题江苏省南京市燕子矶中学2022-2023学年高二上学期9月期初测试数学试题广西玉林市育才中学2014-2015学年高二10月月考数学试题(理)上海师范大学附属宝山罗店中学2023-2024学年高二上学期期中数学试题内蒙古自治区赤峰市红山区2023-2024学年高二上学期期末学情监测数学试卷(B)