1 . 已知等比数列
的前n项和为
,且满足公比0<q<1,
<0,则下列说法不正确 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f572b99ec09f2c6cbf9ea12ed4cdd2.png)
A.![]() | B.![]() |
C.式子![]() ![]() | D.可能满足![]() ![]() |
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4卷引用:专题08 数列-备战2022年高考数学(文)母题题源解密(全国乙卷)
(已下线)专题08 数列-备战2022年高考数学(文)母题题源解密(全国乙卷)浙江省2021届高三高考考前模拟数学试题陕西省咸阳市2021-2022学年高二上学期期末理科数学试题(已下线)4.3 等比数列(2)
2 . 已知等比数列
的公比为
,前
项和为
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e179dbc535e83c4e1dd95af65aa5f05b.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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6卷引用:专题7.3 等比数列及其前n项和(练)- 2022年高考数学一轮复习讲练测(新教材新高考)
(已下线)专题7.3 等比数列及其前n项和(练)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)专题08 数列-备战2022年高考数学(文)母题题源解密(全国乙卷)(已下线)考点02 命题及其关系、充分条件和必要条件-备战2022年高考数学典型试题解读与变式(已下线)第03讲 等比数列及其前n项和 (练)-2023年高考数学一轮复习讲练测(新教材新高考)(已下线)专题30 等比数列通项与前n项和江苏省南通密卷2021届高三模拟试卷数学试题
名校
3 . 等比数列
中,
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179513ce80436471efbe1d9b31735f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/605496029ea4474ccb4e62e3e5031c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d862bfc4430c9f7352937eae4ac6888e.png)
A.充要条件 | B.必要不充分条件 |
C.充分不必要条件 | D.既不充分也不必要条件 |
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7卷引用:考点23 等比数列及其前n项和-备战2022年高考数学(理)一轮复习考点帮
(已下线)考点23 等比数列及其前n项和-备战2022年高考数学(理)一轮复习考点帮(已下线)专题1.2 全称量词与存在量词、充要条件(讲)- 2022年高考数学一轮复习讲练测(新教材新高考)1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(理科)试题(十一)江西省赣州市2021届高三二模数学(理)试题江西省九江第一中学2021届高三5月适应性考试数学(理)试题福建省福建师范大学附属中学2021届高三启明级校模拟考试数学试题浙江省温州市瑞安中学2021届高三下学期5月考前适应性考试数学试题
2021·全国·模拟预测
4 . 已知数列
满足:①
,
,;②
,
(
为常数);③
,使得
恒成立.则满足条件的一个数列
的通项公式为![](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/d12d0bd9afdd4e53ff37f5bfcaa1106c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2798e1dcab1f7f0fe3b8a94b3cd6a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12d0bd9afdd4e53ff37f5bfcaa1106c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057ec4266660f3d99b105a8d4f444f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36338db3cdaf11194eb0d9e29100a457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31abdda89e6bd6a3d58b7a27df1e744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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5 . 对于
有如下4个数列:(1)
;(2)
(3)
(4)
.其中满足条件
的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0568d8f3466c37c0067420955d0950b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d422b94b00b4247c3691f7d6bbfc093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c05d5a4cc83b032872bfa145a791e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac801ba48c14d7424cbdf11ea917119b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644a14313da1dfb9475b3e72c85b2bab.png)
A.1 | B.2 | C.3 | D.4 |
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解题方法
6 . 在①
,②
,③
这三个条件中选择一个,补充在下面问题中,并作出解答.
问题:已知数列
的前
项和
,等比数列
的前
项和为
,
,且 ,判断是否存在唯一的
,使得
,且
.若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd87dfcb967adf5607ccbcbf39c2a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c0bbe5276afcab9b9e465d7b504255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3059b69a2e8bbd1e2bbd7621fec14b4.png)
问题:已知数列
![](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/ad7858f272df99862208b526df4473c3.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/18156edebadef55784d134dd2cbf1df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5b653a209622a9136a15c3b11b0a4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241319266e5c7b2f440db18356f6bcff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcda9dfccd7e7ec90b89ace68154e58d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
7 . 已知等比数列
的首项为
,且
,
,
,
为数列
的前n项和,
为数列
的前n项的积,若
,
中仅有
最小,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9e329f2730b2be926b121f1ae04c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d569cde17c8039dae26157cf6081407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2114a0fe21dc0e5bf831c146ef02b113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:学海导航全国卷大联考2021届高三数学(文)试题
学海导航全国卷大联考2021届高三数学(文)试题学海导航全国卷大联考2021届高三数学(理)试题(已下线)考点6 等比数列的前n项和的性质 2024届高考数学考点总动员【练】1号卷·A10联盟2022届全国高考第一轮总复习试卷数学(理科)试题(十一)辽宁省大连市大连育明高级中学2022-2023学年高二下学期期中数学试题
名校
8 . 在等比数列{an}中,
且a8>a9,则使得
的自然数n的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e374a7f3882e3aa5a7d3f7acccc965c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da9f04105b156af8c5addfe46bfedc0c.png)
A.10 | B.9 | C.8 | D.7 |
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9 . 已知无穷等比数列
满足
,其前
项和为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5c8a6c196890aa7871ea0c82061ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.数列![]() | B.数列![]() |
C.数列![]() | D.数列![]() |
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10 . 已知等比数列
的公比
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab826a33d080f86789980563d125a3fb.png)
(1)求
的通项公式;
(2)在①
,②
,③
这三个条件中任选一个,补充在下面问题中,若问题中的
存在,求
的最小值;若
不存在,说明理由.
问题:设数列
的前
项和为
,___________,数列
的前
项和为
是否存在
,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab826a33d080f86789980563d125a3fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479ccb8723c54006128b851b4f9b9212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5029f2b42f89569a6ccd4434e4eb1d71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f61d6a6b7579718b63724b734b9c1278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
问题:设数列
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec12a9a60f82467bf7bf834a9a9b1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68eee81e090b96819b7df54fc1bcc3a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38744e18a977234187b0671a81a3cfd5.png)
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