名校
1 . 对于给定的正整数
和实数
,若数列
满足如下两个性质:①
;②对
,
,则称数列
具有性质
.
(1)若数列
具有性质
,求数列
的前
项和;
(2)对于给定的正奇数
,若数列
同时具有性质
和
,求数列
的通项公式;
(3)若数列
具有性质
,求证:存在自然数
,对任意的正整数
,不等式
均成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47831e50ef2d068c6c5874304fd6404c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac657ea5bbf4b237a30e4074c76cc81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6314ea082d345042a5f60044b9da055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfd181a4137ab8a71da7f9ff815f063.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474e73439b6e497593216e5625610b2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
(2)对于给定的正奇数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/197650aa3d6df43e074e656285923e6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde821d2523d1cb8928dea513cbf2bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfd181a4137ab8a71da7f9ff815f063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3a0d76c040de0117ed775630b99b10.png)
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|
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名校
2 . 若
且
,则下列选项中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029da2067b3564cee13879e402a89a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-11-24更新
|
783次组卷
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3卷引用:江西省新余市2021-2022学年高二上学期期末数学(理)试题