解题方法
1 . 设等比数列
满足a1+a3=10,a2+a4=5.求:a1a2…an的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2 . 已知
是等比数列,
,且
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc70837214d34d1ddff2e25d54c446c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7898a3e9e681b8eed164570229bf943.png)
您最近一年使用:0次
2023-08-16更新
|
508次组卷
|
3卷引用:甘肃省临夏、甘南两地2022-2023学年高二上学期期中联考文科数学试题
甘肃省临夏、甘南两地2022-2023学年高二上学期期中联考文科数学试题甘肃省白银市会宁县第四中学2023-2024学年高二上学期第一次月考数学试题(已下线)4.3.1等比数列的概念(第2课时)(分层作业)(4种题型)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第二册)
22-23高二·全国·课后作业
解题方法
3 . 已知
为等比数列.
(1)若
,
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b484003185694d54fc1609f490906816.png)
(2)若
,
求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2cd809767998047fa9996dcb87792a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ebfbabb71da046c917528410b2e403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b484003185694d54fc1609f490906816.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2cd809767998047fa9996dcb87792a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c5c7b5b2c7272dff2020ff451812be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e638a91ce94abce758416241f67fbb5.png)
您最近一年使用:0次
名校
解题方法
4 . 已知等差数列
公差为
,前n项和为
.
(1)若
,
,求
的通项公式;
(2)若
,
、
、
成等比数列,且存在正整数p、
,使得
与
均为整数,求
的值;
(3)若
,证明对任意的等差数列
,不等式
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bfe21c96489cb30c544d49ddb4c1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dfe5b322577f02fd19caab8cf20170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](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/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e7b23fd74e3cf89ac541cb7a5d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd11b72e7bbee52ec744dbd16e89c766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36662538d838cca2dd082564d6fc6936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8f6ee1bd20c1b7b4309163e39cc78f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2baa149e5adae5c5085a875a5cd106d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362bfce584209628bc4ad3f23e3d7b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b27971d12f58af42ad7b226b40545b5.png)
您最近一年使用:0次
2022-11-26更新
|
502次组卷
|
6卷引用:上海市曹杨第二中学2022-2023学年高二上学期期中数学试题
上海市曹杨第二中学2022-2023学年高二上学期期中数学试题(已下线)高二下期中真题精选(压轴40题专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)上海市华东政法大学附属松江高级中学2023-2024学年高二上学期期中考试数学试卷(已下线)期中真题必刷压轴50题专练-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)(已下线)专题4.3 等比数列(5个考点八大题型)(2)(已下线)专题7 等比数列的性质 微点1 等比数列项的性质
名校
解题方法
5 . 已知数列
是等差数列,
,且
,
,
成等比数列.给定
,记集合
的元素个数为
.
(1)求
,
的值;
(2)求最小自然数n的值,使得
.
![](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/ceda82fbc56d664a5d8b8c9e8de1fd18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad52924df9291d5d191d18e09374ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7512851fd960f7cc1e360caad52a2df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233427826eb2233641fc3a9805f6d206.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
(2)求最小自然数n的值,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7920b7dc7037e4c7ce602516f1e53a5.png)
您最近一年使用:0次
2022-11-11更新
|
3125次组卷
|
5卷引用:专题07 数列大题专项训练
解题方法
6 . 2023年开始,浙江省将实行新高考改革,语、数、英三门科目与其他10省市都统一用全国试卷.为了了解学生对数学学科的学习情况,随机调查了某校100位学生在一天中课外学习数学的时间(分钟),并且分成了七组,第一组:
,第二组:
第七组:
.由于某些原因,造成一些数据丢失,用字母a,b,c替换丢失的数据(如图).已知第二组和第六组的频率相同,且前三组的频率成等比,后三组的频率成等差.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/022c6e4e-2c37-4c96-8389-b66f4398ef7a.png?resizew=302)
(1)求样本频率分布直方图中的a,b,c;
(2)求样本平均数;
(3)根据统计,数学学科的优秀率与课外学习数学的时间有关系,如下表.试根据样本数据估计该校3000名学生中数学学科优秀的人数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb3d99cbd744a9d742ea44c620784d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f2b80caacd2e3059400eeb92dd219a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cdd8aba4640ef388fe2f27d191e384.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/16/022c6e4e-2c37-4c96-8389-b66f4398ef7a.png?resizew=302)
(1)求样本频率分布直方图中的a,b,c;
(2)求样本平均数;
(3)根据统计,数学学科的优秀率与课外学习数学的时间有关系,如下表.试根据样本数据估计该校3000名学生中数学学科优秀的人数.
学习时间(分钟) | 优秀率 |
![]() | 10% |
![]() | 20% |
![]() | 30% |
![]() | 50% |
您最近一年使用:0次
7 . 若等比数列
的各项均为正数,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b90dfb93ae143efa7c89c884297735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f980bfc70068f945c45b2f81fcd13433.png)
您最近一年使用:0次
名校
解题方法
8 . 已知各项都不相等的等差数列
,
,又
,
,
成等比数列.
(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/a889e13ba8518fa34494ed1295078999.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/daf464629fa321a6ff7401ab79f07083.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e08e03af136d134a2949e0afafcef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
您最近一年使用:0次
2022-09-07更新
|
477次组卷
|
2卷引用:四川省射洪中学校2022-2023学年高二上学期入学考试数学试题
名校
解题方法
9 . 已知数列
的前
项和为
.数列
是递增的等比数列,
,
;
(1)求数列
的通项公式;
(2)已知数列
的前
项的和为
,且
证明:
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1054571e0bc599d64a89b63a49b574df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdefe767533b3368858d21233e65bf59.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知数列
![](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/bc26d2c7c0f56681f4c759ceb27f68e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9928e46511e601913619a427ded84a3.png)
您最近一年使用:0次
2022-07-09更新
|
642次组卷
|
2卷引用:湖北省新高考联考协作体2021-2022学年高二下学期期末数学试题
解题方法
10 . 正项数列
的前
项和为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93481ea7e379539a2dd454edc6260543.png)
(1)若
是等差数列,求
的通项公式.
(2)是否存在实数
,使得
是等比数列?若存在,求出
的值;若不存在,说明理由.
![](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/93481ea7e379539a2dd454edc6260543.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-07-03更新
|
374次组卷
|
4卷引用:湖北省咸宁市2021~2022学年高二下学期期末数学试题
湖北省咸宁市2021~2022学年高二下学期期末数学试题湖南省32多所名校2021-2022学年高二下学期期末联考数学试题(已下线)专题05 数列的通项公式(2)(已下线)4.3.1 等比数列的概念(2)