名校
解题方法
1 . 已知
是等差数列
的前
项和,
,且
,则( )
![](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/179513ce80436471efbe1d9b31735f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5001c388e57b7fae3c8a371c3b34c7.png)
A.公差![]() | B.![]() | C.![]() | D.![]() ![]() |
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名校
解题方法
2 . 已知数列
满足
,数列
的前
项和为
,若
对
恒成立,则实数
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f504f31647c0682674e8a5fdfb53cda4.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e396546d48c3ecf054417b8e84cb2f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.1 | C.![]() | D.2 |
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3 . 已知数列
的前n项和为
,
,其中
.
(1)求数列
的通项公式;
(2)设
,数列
的前n项和
,若对任意
且
,
恒成立,求实数
的取值范围.
![](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/0a61861d35775e5244a2e0caca3fe472.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3940271a9bf4b2f154e106e5665a5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab53e53585a516168d2433fc8dd3da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-03-06更新
|
769次组卷
|
2卷引用:山西省运城市2023-2024学年高二上学期期末调研测试数学试题
名校
解题方法
4 . 已知数列
的前
项和
,则
的值为( )
![](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/51254e93e2f8285f43e8c418a9704dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4e39c7298ed2ad41513d86fb2b5b7d.png)
A.135 | B.145 | C.155 | D.165 |
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2024-03-01更新
|
758次组卷
|
3卷引用:山西省运城市康杰中学2023-2024学年高二下学期开学考试数学试题
5 . 已知
为等差数列
的前n项和,
,则下列选项正确的是( )
![](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/03b726ce0bba60025a2e8253d59f0cf0.png)
A.数列![]() | B.当![]() ![]() |
C.![]() | D.![]() |
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6 . 已知等差数列
的前n项和为
,已知
,则公差![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
__________ .
![](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/339f690070cf185f99f43d8f93a693d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c98c59cd4749afdd21e73529fc84323.png)
您最近一年使用:0次
名校
解题方法
7 . 各项为正的等比数列
中,
,则
的前4项和
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c54165b82360c229dea324cd66d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9620357ea5be4037cfdccd09a27d3862.png)
A.40 | B.121 | C.27 | D.81 |
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2024-02-05更新
|
1732次组卷
|
7卷引用:山西省运城市2023-2024学年高二上学期期末调研测试数学试题
名校
解题方法
8 . 南宋数学家杨辉在《详解九章算法》和《算法通变本末》中,提出了一些新的垛积公式,所讨论的高阶等差数列与一般等差数列不同,前后两项之差并不相等,但是逐项差数之差或者高次差会成等差数列.在杨辉之后,对这类高阶等差数列的研究一般称为“垛积术”",现有高阶等差数列,其前5项分别为1,4,10,20,35,则该数列的第6项为______ .
您最近一年使用:0次
2024-01-24更新
|
195次组卷
|
2卷引用:山西省运城市康杰中学2023-2024学年高二下学期开学考试数学试题
解题方法
9 . 圆
关于直线
(
,
)对称,则
的最小值是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed11ce58f78fb1e1201699af594a1d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de2a425ba8c107443898ec9a39fe05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e314d99c7a237fd383f155c33e35f73c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-05更新
|
390次组卷
|
2卷引用:山西省运城市稷山县稷山中学2023-2024学年高二上学期11月月考数学试题
10 . 若关于
的不等式
的解集为
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c18340465701a275a296098bf0fbacc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e96b107a63fc26adb41afedf400469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.1 | B.0 | C.![]() | D.![]() |
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