名校
解题方法
1 . 已知正项等比数列
的前
项和为
,若
成等差数列,
.
(1)求
与
;
(2)设
,数列
的前
项和记为
,求
.
![](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/5bff10824ab9a9e1351b07569820399e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9824bccea52966ead370db7729f61c3b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90ee20557326d7d408a75ab26c70b37.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2023-04-26更新
|
1136次组卷
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17卷引用:四川省成都外国语学校2020-2021学年高一下学期6月月考数学(理)试题
四川省成都外国语学校2020-2021学年高一下学期6月月考数学(理)试题四川省泸州市泸县第一中学2021-2022学年高一下学期期中考试数学试题山西省吕梁市2021届高三三模数学(理)试题陕西省2021届高三下学期教学质量检测测评(五)理科数学试题重庆市第八中学2021届高三下学期第五次模拟数学试题(已下线)“超级全能生”2021届高三全国卷地区5月联考试题(乙卷)数学(理)试题(已下线)“超级全能生”2021届高三全国卷地区5月联考试题(甲卷)数学(理)试题四川省泸州市泸县第四中学2022-2023学年高三下学期第二次诊断性模拟考试数学(理)试题四川省泸州市泸县第四中学2023届高三下学期二诊模拟考试数学(文)试题四川省泸县第四中学2023届高三第二次诊断性模拟考试数学(理科)试题四川省凉山州宁南中学2022-2023学年高二下学期第二次月考理科数学试题青海省西宁市六校联考2022-2023学年高三下学期开学考试数学(理)试题陕西省西安市雁塔区第二中学2022-2023学年高二下学期第二次阶段性测评理科数学试题陕西省西安市雁塔区第二中学2022-2023学年高二下学期第二次阶段性测评文科数学试题陕西师范大学附属中学渭北中学2022-2023学年高二下学期5月月考理科数学试题西藏昌都市第一高级中学2023届高三高考全真仿真考试数学(理)试题新疆生产建设兵团第六师芳草湖农场中学2021-2022学年高二上学期期末数学(理)试题
解题方法
2 .
中,角
所对的边分别为
,已知A、B、C成等差数列,
.
(1)求角B的大小;
(2)求△ABC周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4cd80d3092f506d6326df7d552eb3b.png)
(1)求角B的大小;
(2)求△ABC周长的取值范围.
您最近一年使用:0次
名校
3 . 已知
为递增等比数列且
,
,
,
构成等差数列,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05250f48ac23c7985300ad50202cccb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821042ef4074b71eff3bd5056b2e92e3.png)
A.![]() ![]() | B.![]() | C.![]() ![]() | D.![]() |
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名校
4 . 已知正项等差数列
和正项等比数列
满足,
,则下列关系正确的是( )
![](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/0426eb784f9c387f6a0d2e7e21a11118.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 已知
,
,
既成等差数列又成等比数列,二次函数
的图像与直线
交于不同两点
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97dad16e4910ec15add074c4077b0e86.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-08-06更新
|
229次组卷
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3卷引用:四川省达州市2020-2021学年高一下学期期末数学(文)试题
6 . 在等差数列
中,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd51646fec6561db5c463730fcadbbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e73e007519f1feb5a882b1be4ca36b0.png)
A.18 | B.30 | C.36 | D.72 |
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9卷引用:四川省乐山市2020-2021学年高一下学期期末数学试题
四川省乐山市2020-2021学年高一下学期期末数学试题福建省龙岩第一中学2021-2022学年高二上学期开学考试数学试题黑龙江省哈尔滨市第三中学校2021-2022学年高二上学期期末数学试题(已下线)考点20 等差数列及其前n项和-备战2022年高考数学一轮复习考点帮(浙江专用)黑龙江省双鸭山市第一中学2021-2022学年高二下学期开学考试数学试题(已下线)等差数列的概念黑龙江省伊春市铁力市马永顺中学校2022-2023学年高二下学期期中数学试题福建省莆田锦江中学2023-2024学年高二上学期第一次月考数学试题(已下线)4.2.1 等差数列的概念——课后作业(基础版)
7 . 已知等比数列
的公比为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
,前
项和为
,
,且
是
与
的等差中项.
(1)求数列
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86abc2064ed9985a5ee3a5b87310991.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/964df3e9308711d7e14fb624b0c25e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911278aa8595846abac1972e1de59995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86e2e42b4aa93db9241103e7f61766c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a37f1b45e929b42044626edb63681fb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d22787faf3cab18b8fa922cc485008.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)
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8 . 已知
是等差数列的前
项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_______________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efa0811300939fbe041b08f92a95d6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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解题方法
9 . 设
是等比数列,
为
和
的等差中项,且
.
(1)求
的通项公式;
(2)当
的公比不为1时,求数列
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce4900301e7dec9aebb7aff9a425210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39835887158fcba559fdfe35ebb5c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0496f142d8ae5acb06e83526eaa3ef87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2021-07-10更新
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2卷引用:四川省成都市第七中学2020-2021学年高一下学期期末考试数学试题
名校
10 . 已知数列
是等差数列,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d11dc2142789b4453e8c095b44e31545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.2 | B.3 | C.4 | D.5 |
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2021-04-28更新
|
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3卷引用:四川省泸州市泸县第二中学2020-2021学年高一下学期第一次月考数学(文)试题