解题方法
1 . 已知数列
的通项公式为
,前
项和为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0604dd7db130ed9402391d319379eae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.数列![]() ![]() |
B.使![]() ![]() |
C.满足![]() ![]() ![]() |
D.使![]() ![]() |
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2 . 已知数列
满足
,
,
,则下列结论错误的是( )
![](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/12450dc3d97a4e15026ab56ae47bbd87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
A.![]() | B.存在![]() ![]() |
C.![]() | D.![]() |
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解题方法
3 . 已知数列
的前
项和为
,且满足
,数列
的前
项和为
,且满足
,则下列说法中正确的是( )
![](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/4f034b38bbf182abad5150d4ea57e34f.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/8b1056b64ff05b2c3140c84bcc4e8dcc.png)
A.![]() | B.数列![]() |
C.数列![]() | D.若![]() ![]() |
您最近一年使用:0次
2024-05-30更新
|
608次组卷
|
2卷引用:山东省济宁市2024届高三下学期三模数学试题
解题方法
4 . 已知等比数列
的公比为
,前
项和为
,前
项积为
,且
,
,则( )
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8365233f341451598eb50525a1557a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb09966d983e97f7a99311d2a8a40dad.png)
A.数列![]() | B.数列![]() |
C.若数列![]() ![]() | D.若数列![]() ![]() |
您最近一年使用:0次
名校
5 . 已知等比数列
的前
项和为
,则( )
![](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/537fb91de8b9841502941ec89d5a51b9.png)
A.![]() | B.![]() |
C.数列![]() | D.数列![]() |
您最近一年使用:0次
2024-03-12更新
|
946次组卷
|
3卷引用:江西省赣州市2024届高三下学期年3月摸底考试数学试题
解题方法
6 . 南宋数学家杨辉所著的(详解九章算法.商功)中出现了如图所示的形状,后人称之为“三角垛”.“三角垛”最上层有1个球,第二层有3个球,第三层有6个球,…..,设第
层有
个球,从上往下
层球的总数为
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/938d44ee-0186-4edf-bb39-7fc843439b4d.png?resizew=164)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/938d44ee-0186-4edf-bb39-7fc843439b4d.png?resizew=164)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 设等比数列
的前
项和为
,且
(
为常数),则( )
![](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/207122b4594b80a670136d5194f74ba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-04更新
|
1147次组卷
|
3卷引用:河南省部分名校2024届高三上学期期末检测数学试题
解题方法
8 . 已知等差数列
的前
项和为
,则( )
![](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/96f59296f5b865d30de410aa0d8b767c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-03更新
|
836次组卷
|
3卷引用:福建省福州市2024届高三下学期2月份质量检测数学试卷
9 .
如图,三角形数阵由一个等差数列
排列而成,按照此规律,下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/6d80f6ee-d211-4c88-a685-c2c54b0e0d06.png?resizew=114)
如图,三角形数阵由一个等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a777938319f996986c98aabd454de2ad.png)
A.数阵中前7行所有数的和为1190 |
B.数阵中第8行从左至右的第4个数是101 |
C.数阵中第10行的第1个数是137 |
D.数阵中第10行从左至右的第4个数是146 |
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2024-02-28更新
|
495次组卷
|
4卷引用:广东省2024届高三下学期开学考试数学试题
10 . 任取一个正整数,若是奇数,就将该数乘3再加上1;若是偶数,就将该数除以2,反复进行上述两种计算,经过有限步后,必进入循环
.这就是数学史上著名的“冰雹猜想”.事实上“冰雹猜想”的递推关系如下:已知数列
满足:
(
为正整数),
,若
,则
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a16f78ce0dab1ac8fa6abbd70f2b008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999ac8c1ef39251e07a7fc54cbf7e26e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3b8da539b342129be7bf62380722e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd190d7176d80d1422d2ae3579b3962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
A.12 | B.13 | C.40 | D.80 |
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