名校
1 . 等差数列
的公差为2,若
成等比数列,则
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://img.xkw.com/dksih/QBM/2016/5/11/1572632161345536/1572632167276544/STEM/320891f19ce74d32b99f78d9dc9f01e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2016-12-04更新
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889次组卷
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3卷引用:贵州省贵阳市五校2023届高三联合考试(五)理科数学试题
2 . 已知各项不为0的等差数列
满足
,数列
是等比数列,且
,则
=
![](https://img.xkw.com/dksih/QBM/2016/1/22/1572464369311744/1572464375005184/STEM/481b0ef7075043cb802aa42676ac6577.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1572464369311744/1572464375005184/STEM/a462f803896c4e51bc9ebdad4dd86f3c.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1572464369311744/1572464375005184/STEM/1bd2d6014a79425689d2e5fe01794a2a.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1572464369311744/1572464375005184/STEM/476dde53858e4b8b80af6b83cbfe3ec1.png)
![](https://img.xkw.com/dksih/QBM/2016/1/22/1572464369311744/1572464375005184/STEM/0f0ca3dc1bbe432ab008fc00c0aea560.png)
A.1 | B.8 | C.4 | D.2 |
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名校
3 . 设数列
的前
项和为
,且
,
为等差数列,则
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b6b4e96836afdd967368ac2ddc8183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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2016-12-03更新
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7卷引用:2017届三湘名校教育联盟.高三第三次大联考文科数学试卷
2017届三湘名校教育联盟.高三第三次大联考文科数学试卷2016届西藏日喀则一中高三10月检测理科数学试卷2016届西藏日喀则一中高三10月检测文科数学试卷2020届吉林省长春市第十一高中高三下学期线上模拟考试数学(理)试题(已下线)专题03:前n项和恒等式的应用(三大类型)(已下线)专题31 由递推公式求数列通项湖南省长郡中学2017-2018学年高二上学期第一次模块检测数学(文)试题
2014·江苏南通·三模
名校
4 . 设数列{an}为等差数列,数列{bn}为等比数列.若
,
,且
,则
数列{bn}的公比为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b321b66145a2ed6b30d30b62fd8acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7eda9b9aed5fd932841a7d5dab7a214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a672288ae786914c6526b2bf60e5f095.png)
数列{bn}的公比为 .
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8卷引用:2014届江苏省南通市高三年级第三次模拟考试理科数学试卷
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2013·宁夏银川·模拟预测
5 . 设各项均为正数的等比数列
中,
,
.设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
(Ⅰ)求数列
的通项公式;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(Ⅱ)若
,
,求证:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ef35b21da4cd8130642539d8245f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6315d13bbeb7bbf4c26ef7e5db994d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f6000421c5370e4b89f23be199f388.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e1ee88beaddafb0d0a185c3a8e0dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5619944e5472bdd87d6889e768eedbdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f68fd890ea6590ba9c35021df58fc3.png)
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2013·江西南昌·二模
6 . 已知各项均不相等的等差数列
的前三项和为18,
是一个与
无关的常数,若
恰为等比数列
的前三项,
(1)求
的通项公式.
(2)记数列
,
的前三
项和为
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4140357d6947ea73869e3acb257ae516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2df98ce180b9d9e1a83f2c1332e2da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff79c81c77e8252c89bddc8104c4e1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c522c1c881528ab6f9708f6bdd4c4db5.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/aaaf65af465633678a3ac65236d0de0f.png)
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2012·福建宁德·二模
7 . 为进一步保障和改善民生,国家“十二五”规划纲要提出,“十二五”期间将提高住房
保障水平,使城镇保障性信房覆盖率达到20℅左右. 某城市2010年有商品房
万套,保障
性住房
万套(
). 预计2011年新增商品房
万套,以后每年商品新增量是上一年新增
量的
倍,问“十二五”期间(2011年~2015年)该城市保障性住房建设年均应增加多少
万套才能使覆盖率达到
?
(
,
,
,
)
保障水平,使城镇保障性信房覆盖率达到20℅左右. 某城市2010年有商品房
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
性住房
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ddc122ec4dd9e54af2ac0b47c7935e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
量的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
万套才能使覆盖率达到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366c63bcf4c25f7cae5920566af1dd0a.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9f9089a28489eb48338b8236a19d7f.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/fae25d443a009ed6a08209d3f79b599a.png)
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11-12高二上·辽宁营口·期末
名校
8 . 设数列
是公比大于1的等比数列,
为数列
的前
项和,已知
,且
构成等差数列.
(I)求数列
的通项公式;
(II)令
…,求数列
的前n项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccdc17b603871d20843ffccca2df0ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0415f89c286a4a35364c5715a2a1b60.png)
(I)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(II)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83de708fcdee8570c924565125979f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2016-11-30更新
|
1415次组卷
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7卷引用:2012届广东揭阳一中、潮州金山中学高三第三次模拟考试理科数学试卷
(已下线)2012届广东揭阳一中、潮州金山中学高三第三次模拟考试理科数学试卷(已下线)2013届广东省揭阳一中高三上学期第二次段考数学试卷(已下线)2014届四川省成都七中高三三诊模拟文科数学试卷2016届四川省绵阳市南山中学高三下学期入学考试文科数学试卷北京市顺义区牛栏山第一中学2019-2020学年高三上学期期中数学试题(已下线)2010—2011学年辽宁省营口市普通高中高二上学期期末教学质量检测理科数学河南省郑州市八校2020-2021学年高二上学期期中联考数学(文)试题
2011·安徽宣城·二模
9 . 在数列
中,
,点
在直线
上,设
,数列
是等比数列.
⑴求出实数
;
⑵令
,问从第几项开始,数列
中连续20项之和为100?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e881d9132fb54241442baf65f9e35187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7403b7aeb225f15726ca3b349c540eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf701bd91fae23241a6cd85e0c132f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3726345b8d3bfe8abc9bc331f1ab603a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
⑴求出实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
⑵令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1973fb2dee05dca6caa9579096ca77a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
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2011·新疆·一模
名校
10 . 已知1、
、
、9成等差数列,1、
、
、
、9成等比数列,且
、
、
、
、
都是实数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b8ac5e02a7b900e0d62593e752f231.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/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57483e04fd1840c87ac5325157149877.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/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57483e04fd1840c87ac5325157149877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b8ac5e02a7b900e0d62593e752f231.png)
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2016-11-30更新
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4卷引用:2011届新疆农七师高级中学高三第一次模拟考试数学文卷
(已下线)2011届新疆农七师高级中学高三第一次模拟考试数学文卷(已下线)第03讲 等比数列及其前n项和 (高频考点—精讲)-2河南省南阳市第一中学校2021-2022学年高二上学期第一次月考数学试题河南省南阳市唐河县唐河县第一高级中学2022-2023学年高二下学期3月月考数学试题