名校
解题方法
1 . 已知
为正项数列
的前
项的乘积,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62c2685e5d3fd82004059e12ba105b9.png)
(1)求数列
的通项公式
(2)令
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.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/f62c2685e5d3fd82004059e12ba105b9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6270b306175ccbccf8d02d8cfcca8d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15526f7c892333030073b85fc3baee6.png)
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2 . 已知等差数列
的前
项的和为
,
成等差数列,且
成等比数列
(1)求
的通项公式;
(2)若
,数列
的前
项的和为
,求证:
![](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/52ad709079bed68003569f0d25969090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea68ba197cb8727562208a44d36e8144.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba0a7b41a04139c320a73eae4e3cc59.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/e04d230bf39281e07d8b47ee272d753d.png)
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3 . 数列
满足
,对任意的
都有
,则
( )
![](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/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ea12b5bf919a962f08bed2140d896b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8a45ef616a082bbb188d228855503.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
4 . 已知递增的正整数列
的前n项和为
.以下条件能得出
为等差数列的有( )
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-02-05更新
|
1843次组卷
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5卷引用:湖北省十七所重点中学2023届高三下学期2月第一次联考数学试题
湖北省十七所重点中学2023届高三下学期2月第一次联考数学试题江西省抚州市第一中学2022-2023学年高二下学期第一次月考数学试题(已下线)专题04 数列(5)专题02等差数列(已下线)专题4.2 等差数列(5个考点八大题型)(2)
名校
5 . 已知等差数列
的前
项和为
,若
,则下列结论正确的是( )
![](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/04220944a0b457100a53c3e8cf3e4693.png)
A.![]() | B.![]() |
C.数列![]() | D.![]() |
您最近一年使用:0次
2023-02-05更新
|
665次组卷
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4卷引用:河北省唐山市开滦第二中学2022-2023学年高三上学期期中数学试题
6 . 在数列
中,已知
,
,则
的通项公式为______ .
![](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/5aef506825309762ba857a2372de5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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2023-02-05更新
|
1429次组卷
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6卷引用:沪教版(2020) 一轮复习 堂堂清 第四单元 4.4 数列的通项公式
沪教版(2020) 一轮复习 堂堂清 第四单元 4.4 数列的通项公式广西壮族自治区梧州市苍梧中学2022-2023学年高二下学期3月月考数学试题(已下线)专题14 数列的通项公式(已知递推式)-1浙江省杭州市余杭高级中学等四校2022-2023学年高二下学期3月联考数学试题(已下线)专题04 数列通项与求和技巧总结(十大考点)-【寒假自学课】2024年高二数学寒假提升学与练(人教A版2019)(已下线)专题04 数列(1)
名校
解题方法
7 . 已知
的内角
所对的边分别为
,且满足
.
(1)求角B的大小;
(2)若
,设
的面积为S,满足
,求b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d1a873d9f7431784e63ec2577a27e0.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ef98941134ffeefa7c8c349e399d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1c561f7eaa436b21b39c67ade61f0f.png)
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2023-02-04更新
|
1680次组卷
|
11卷引用:江苏省南京市秦淮中学2023届高三下学期检测一数学试题
江苏省南京市秦淮中学2023届高三下学期检测一数学试题河南省洛阳市栾川县第一高级中学2022-2023学年高三下学期入学测试数学试题贵州省铜仁市松桃民族中学2022-2023学年高二下学期第一次月考数学试题河南省安阳市第一中学2022-2023学年高一下学期6月月考数学试题(已下线)第02讲 正弦定理和余弦定理12种常见考法归类(2)吉林省四平市第三高级中学2022-2023学年高一下学期6月月考数学试题河南省安阳市林州市第一中学2022-2023学年高一下学期期末数学试题山东省东营市第一中学2022-2023学年高一下学期6月月考数学试题山东省济南市历城第二中学2023-2024学年学年高三上学期开学摸底考试检测数学试题福建省漳州市第三中学2023-2024学年高二上学期第三次月考数学试题(已下线)6.4.3.2 正弦定理——课后作业(提升版)
名校
8 . 若等比数列
的前n项和
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9946f2c02582dc1c8ed07ec52d519455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
名校
解题方法
9 . 已知正项数列
的前
项和为
,且满足
.
(1)求数列
的通项公式;
(2)若数列
为等比数列,且
,
,求数列
的前
项和
.
![](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/2df695539dfd2b5617dea82e3ff73ba0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aaee408bdec05bbdfcd4b841a331e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012f1e5df0528c0f9a5754b7dc84424e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764b64feeb9c9c6744527b92420ed182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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10 . 已知数列
和数列
,满足
,且
,
.
(1)证明数列
为等差数列,并求
的通项公式;
(2)证明:
.
![](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/902b2b9e8a2d04c757ebaa59e581bde1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2befe0fc28a2473de5514077cb3f0569.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f997e6d483c0d0990cb550bbde39fa9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5739cd0327fd832bef0c3518238ed99d.png)
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