1 . 记
是等差数列
的前
项和,若
.
(1)求数列
的通项公式
;
(2)求使
成立的
的最小值.
![](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/587e388abe48c592c09f11e8368448be.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade47598510917b18557339027024b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2024-01-22更新
|
451次组卷
|
2卷引用:广东省东莞市东莞实验中学2023-2024学年高二上学期第三次月考数学试题
解题方法
2 . 已知正项等比数列{an}中,
,且
.求数列
的通项公式
和前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6243dd554deeb1e4af03b490ee806fae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7088824e4b57d70d0bb0efe2029cd91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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23-24高二上·江苏·课前预习
3 . 写出数列的一个通项公式,使它的前几项分别是下列各数:
(1)a,b,a,b,…;
(2)
,
,
,
,…;
(3)
;
(4)
,
,
,
,…;
(5)
,2,
,8,
,…;
(6)
,33,
,3 333,….
(1)a,b,a,b,…;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd37d47f9a1ad00a5fafcd6ff6091204.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4524a2e79dbf1e7c5c601006d4992b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188bc67239df669ba21f992293d65f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245465e7cc537851158417ef5e424bce.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473e44e6b49d33cf82638bc443b100b7.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe08e0d5c956c84b58082af794e3ccd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231fd0fbb933002c6a527dcc4f7186f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf59d252e38dd86c01a6672efbc049f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc577290d0e6ac8d874419ff015a42dc.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0874f019492261eb175bdcc08c189d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b77a750c8b127476bbb41e1eb289750.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83b280213f771c8ad6f20e4951df9a5.png)
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2024-01-15更新
|
151次组卷
|
3卷引用:第四章 数列(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)
(已下线)第四章 数列(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)(已下线)1.1 数列的概念4种常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)(已下线)重难点01:常见数列通项的20种解题策略-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)
23-24高二上·江苏·课前预习
4 . (1)若数列
满足
,
,求
;
(2)设数列{an}满足
,写出这个数列的前5项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5d6c133e1549662dd46c613210540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea00d10c496ccacb5b25c9574d6cdb09.png)
(2)设数列{an}满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd85af2dd425941d9034382ad0a75ab.png)
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23-24高二上·江苏·课前预习
解题方法
5 . 在等差数列
中,
(1)已知
,求
与
;
(2)已知
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64fcf95a1d93524ad425ab8a3628adb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71e56f374084c51b0b761c14d750dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0d29f34218cd60cc6e9ce4dcd13925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
您最近一年使用:0次
2023高二上·江苏·专题练习
解题方法
6 . 在等差数列
中,
(1)已知
,
,
,求
和
;
(2)已知
,
,求
;
(3)已知
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2af79f17ef596c04991f4c13cd1955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/471246f2b8b670bb26900f27801f895c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8000007201d28a54901c28b9feb6f62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9309dcdeed415a378f905467fd9b6bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4444b751e51180563a8699195d11c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3cf6f2bbe20a404fea41a4d2b1c4c7.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e8e9024a5174dc46a934210de90c3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8438d297ead4350ba719029b0c217c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20287de666fe810d3795a122277600ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
7 . 在
中,角A,B,C的对边分别为a,b,c,已知
.
(1)求角C的大小;
(2)若
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262f3b57d246f141b0274f7a5d870324.png)
(1)求角C的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f002f960ec07ea229ed243e2d991d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
8 . 在
中,内角
、
、
的对边分别为
、
、
,根据下列条件解三角形:
(1)已知
,
,
,求
;
(2)已知
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/071a7e733d466949ac935b4b8ee8d183.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f2f1eb2beb23690f56a68dc7da08cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19bc789ba80d61ebf85bef2676efb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1ec9c5eaed4c211a040a2a33fb7c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
9 . 在等差数列
中,已知
,
,
,求数列
的通项公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c125166293dddecc0fca93d608a3e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4cfe3057df9a8047c35a74631e5e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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名校
10 . 一个等差数列的第3项是9,第9项是3,求它的第12项.
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