名校
解题方法
1 . 已知
是各项均为正数的数列
的前
项和,
,
,若
对
恒成立,则实数
的最大值为( )
![](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/085efaa1ddf1c9baceccc388032e7350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4822fdc0d230a473355e92a2ed9be58e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35a1abae356c805cbed778c353e05fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ec09a5b5fd94c1dd994a759907ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.16 | C.![]() | D.32 |
您最近一年使用:0次
2 . 已知等比数列
满足
,则
的前
项和( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5af02a3becbcceff68caa7611e0a096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
A.1024 | B.512 | C.1023 | D.5 |
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3 . 已知等比数列
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674ac7f72f1f6fc7078c0e8e8f8b9787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 已知等比数列
的前
项和为
,则下列结论中一定成立的是( )
![](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)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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2023-05-07更新
|
1050次组卷
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5卷引用:陕西省咸阳市实验中学2024届高三下学期适应训练(一)数学(文)试题
5 . 已知数列
满足
,且
.
(1)求数列
的通项公式;
(2)数列
的前n项和为
,若
,求n的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c22445045efac8e0bece101605902d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](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/9af5cc6ee389253fc883bd3d3bf23dd1.png)
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2023-05-01更新
|
654次组卷
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4卷引用:陕西省咸阳市2023届高三三模文科数学试题
陕西省咸阳市2023届高三三模文科数学试题陕西省咸阳市2023届高三三模理科数学试题陕西省咸阳市2023届高三高考模拟(三)文科数学试题(已下线)上海市静安区2023届高三二模数学试题变式题16-21
名校
6 . 已知数列
为等比数列,公比
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/882b660047bb6ded500cedba57958e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55feca124a3c380c2e7089c897da73e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939c3192f4fe7512daf9efc47a6a3bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
A.4 | B.8 | C.16 | D.32 |
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2023-03-20更新
|
469次组卷
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2卷引用:陕西省咸阳市2023届高三下学期二模文科数学试题
名校
解题方法
7 . 如图,已知在扇形OAB中,半径
,
,圆
内切于扇形OAB(圆
和OA、OB、弧AB均相切),作圆
与圆
、OA、OB相切,再作圆
与圆
、OA、OB相切,以此类推.设圆
、圆
……的面积依次为
,
……,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cf0ead58ea5f53ea4cf5df210bb62d.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50bf7d7fa347c09dedde116bb787a3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d162c29b1e484cfc87350dd68f00b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dacb04fa29178c0af4353e4369a7e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cf0ead58ea5f53ea4cf5df210bb62d.png)
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2023-03-19更新
|
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6卷引用:陕西省咸阳市2023届高三下学期二模文科数学试题
8 . 已知等比数列
的公比的平方不为
,则“
是等比数列”是“
是等差数列”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b64c5418d9a3aee08fc9bbd4360b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8e3d93a73678ab186ea7951c39b841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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 |
您最近一年使用:0次
2023-03-11更新
|
2252次组卷
|
11卷引用:陕西省咸阳市高新一中2023届高三下学期第八次质量检测理科数学试题
陕西省咸阳市高新一中2023届高三下学期第八次质量检测理科数学试题陕西省咸阳市高新一中2023届高三下学期第八次质量检测文科数学试题河南省焦作市2022-2023学年高三第二次模拟考试数学(理科)试题贵州省黔东南州2023届高三第一次适应性考试数学(理)试题吉林省白山市2023届高三三模联考数学试题河南省焦作市2022-2023学年高三第二次模拟考试数学(文科)试题浙江省金华十校2022-2023学年高三下学期4月模拟考试预演数学试题辽宁省锦州市黑山县黑山中学2023届高三一模数学试题湖南省部分市2023届高三下学期3月大联考数学试题河北省保定市安国中学等3校2023届高三下学期3月月考数学试题(已下线)专题6 等比数列的判断(证明)方法 微点3 性质法
9 . 记
是等比数列
的前
项和, 若
,
,设数列
的前
项和为
,则满足不等式
的正整数
的最小值是( )
![](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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f7519e1b1dd927bc634eedafc88820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.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/e961b3cd10daf5113fd4336f75627914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知数列
的前
项之积为
.
(1)求数列
的通项公式;
(2)设公差不为0的等差数列
中,
,___________,求数列
的前
项和
.
请从①
; ②
这两个条件中选择一个条件,补充在上面的问题中并作答.
注:如果选择多个条件分别作答,则按照第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd9aa5ea928f401f91440cfa7870c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8179efe1854a63068ecc821c8616e772.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd9aa5ea928f401f91440cfa7870c83.png)
(2)设公差不为0的等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cb8bf6cf23ae654b32a0348b15ba4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707160b30957e1c34573737f6c41e40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e26712d0ab051a0505d5de97ff4ee4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c302a108bd4c05d5b28de5e43a9092.png)
请从①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb48a791aa0712b9c06fc8ff090d864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f763d78939515d1213060a4d38c702a.png)
注:如果选择多个条件分别作答,则按照第一个解答计分.
您最近一年使用:0次
2023-02-22更新
|
614次组卷
|
5卷引用:陕西省咸阳市2023届高三下学期一模理科数学试题
陕西省咸阳市2023届高三下学期一模理科数学试题陕西省咸阳市乾县第一中学2023届高三下学期一模文科数学试题陕西省咸阳市2023届高三高考模拟检测(一)文科数学试题(已下线)第五章 数列(A卷·知识通关练)(1)(已下线)模块九 数列-1