已知正项数列
的前
项和为
,且满足
,
,若对于任意的
,不等式
恒成立,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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a166f2ec4373e88127607106f2207f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1505d56f0b35fe7f2de1fe1888036e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8575f0f46a0a3d5b74cf67633a19ca54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
21-22高二上·安徽黄山·期末 查看更多[4]
安徽省黄山市2021-2022学年高二上学期期末数学试题江苏省南京市第一中学2022-2023学年高二下学期3月月考数学试题(已下线)拓展三:数列与不等式 -【帮课堂】2022-2023学年高二数学同步精品讲义(人教A版2019选择性必修第二册)(已下线)第四章 数列章末检测卷(一)-【帮课堂】2022-2023学年高二数学同步精品讲义(人教A版2019选择性必修第二册)
更新时间:2023-01-04 11:23:49
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填空题-单空题
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适中
(0.65)
解题方法
【推荐1】已知数列
为等差数列,其前n项和为
,且
,给出以下结论:①
;②
;③
;④数列
中的最大项为
;⑤
其中正确的有______ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d4688b8b20ecd1c8f6e3fa0b1eab62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb23a0aa533fe2f67a50551bb7772ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87df689b605e7a283b56d454c3736a0.png)
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解题方法
【推荐2】记数列
的前
项和为
,已知
,且
.若
,则实数
的取值范围为________ .
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac8c74a674b4866ae07ee780b612a77c.png)
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【推荐1】已知数列
满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebe62e215327d4eccab6e5699e10ec6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
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【推荐2】(1)在数列
中,
,则数列
的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________________ ;
(2)在数列
中,
,则数列
的通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a40b3b62f34dc8affe176ec574752d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
(2)在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606e55241a2e145d54849129b8ffd20f.png)
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【推荐1】已知数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210c457ba87675015212f2e3afe4c56c.png)
,若
,则数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef70da7236ad9a7d3beeb2a9cf63c93a.png)
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解题方法
【推荐2】已知数列
,则数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
___________ .
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解题方法
【推荐1】在等比数列
中,
,
,记数列
的前
项和、前
项积分别为
,
,若
对任意正整数
都成立,则实数
的最小值为___________ .
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【推荐2】数列
的前
项和为
,已知
,且对任意正整数
,都有
,若
恒成立,则实数
的最小值为________ .
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