名校
解题方法
1 . 若
成等差数列;
成等比数列,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266de448a07a7ce84265f278534be59c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd9a5a0dc4384a598d20f894036416d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a175e9c2c04e63e9eb97112f916ece2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9卷引用:青海师范大学附属实验中学2022-2023学年高三上学期12月月考文科数学试题
青海师范大学附属实验中学2022-2023学年高三上学期12月月考文科数学试题安徽省六安第二中学2022-2023学年高三上学期第四次月考数学试题宁夏育才中学2023届高三上学期第四次月考数学(理)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(文)试题(已下线)河南省济源市、平顶山市、许昌市2022届高三文科数学试题变式题1-5甘肃省古浪县第三中学2022-2023学年高二下学期开学考试数学试题甘肃省永昌县第一高级中学2022-2023学年高二下学期第一次月考数学试题广西壮族自治区防城港市高级中学2022-2023学年高二下学期期中数学试题重庆市杨家坪中学2022-2023学年高二上学期期末数学试题
2 . 在等比数列
中,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe6ee46cca753a994f51ba397a95cb3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d1ed30f771411b17654d0a133b4b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286b273301751a1e41c55db3fae2ed05.png)
A.2 | B.±2 | C.2或![]() | D.![]() |
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2022-10-24更新
|
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3卷引用:青海省西宁市湟中区2022-2023学年高三上学期期中考试数学(理)试题
名校
解题方法
3 . 在公差不为零的等差数列
中,
,且
,
,
成等比数列.
(1)求
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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](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)
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2022-09-20更新
|
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名校
解题方法
4 . 已知等差数列
的公差为2,若
,
,
成等比数列.
(1)求等差数列
的通项公式;
(2)若等差数列
的前n项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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)
(1)求等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)若等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851af767ceae88ebc6dc8822ad49a99f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63b998f4909841e47575281936b3f55.png)
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2卷引用:青海省西宁市2021-2022学年高一下学期期末数学试题
解题方法
5 . 已知数列
,
满足
,
,且
,
,
成等比数列,其中
为正项等差数列.
(1)求数列
的通项公式;
(2)求数列
的前n项和
.
![](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/e21e10006580d7f13aa3f93dc3f2497a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbfb8e0120f37ab7312d3c58ea445f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c493b9bf693aa7b9b964c488729256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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6 . 已知
是公差不等于0的等差数列
的前
项和,
是
与
的等比中项.
(1)求数列
的通项公式;
(2)求数列
的前20项和.
![](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/62cbc24826ad67148d6d1dad320a6a16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dea1dd4ffcb4cf0697ca43079f6a1f2.png)
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|
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5卷引用:青海省西宁市大通回族土族自治县2021-2022学年高一下学期期末数学试题
7 . 设等比数列
的前n项和为
,若
,且
,则λ=________ .
![](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/b5d5f4b98ab349b4b60dba53d460241f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0117669b9bd4ec227288fc3a46383fd.png)
您最近一年使用:0次
8 . 在
中,a,b,c分别是角A,B,C的对边.若a,b,c成等比数列,且
,则A的大小是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14beb77cb4d69ee304b13c571e9f9abf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-06-06更新
|
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3卷引用:青海省西宁市大通回族土族自治县2022届高三下学期第三次模拟考试数学(理)试题
9 . 已知
为
、
的等差中项,
为
、
的等比中项,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](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/61128ab996360a038e6e64d82fcba004.png)
![](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/63a11186577d9a1e0a37742de66121e1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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|
2卷引用:青海省西宁市2021-2022学年高一下学期期末数学试题
10 . 在公差不为
的等差数列
中,已知
,且
、
、
成等比数列,则公差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da6e97248df8f138ebe684c40c950c7.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/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
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