解题方法
1 . 已知数列
满足:当
为奇数时,
,其中
,且
,则当
取得最小值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.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/7f971e26b72b8ecaaeee754d9c9c6dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d49014d8fc24df86d006a64e1d0f43b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bcd8247c3464a48240c48d8adb7427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
您最近一年使用:0次
2023-12-27更新
|
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|
3卷引用:2024届华大新高考联盟(全国卷)高三上学期11月教学质量测评文科数学试题
名校
2 . 已知数列
满足
,
(
且
),数列
的前n项和为Sn,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8e8f821111de8075e5c3dfb22a5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38827f03b4c6d9ad8cc64eef5768ffb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e468312d09c6563c9094b710a35a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6卷引用:湖南省长沙市第一中学、广东省深圳实验学校2022届高三上学期期中联考数学试题
3 . 已知数列
满足
.
(1)证明
是等比数列,并求
的通项公式;
(2)求数列
落入区间
的所有项的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8799fb994f7f053c85059568d622a8.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fae015ec6cc408615aca26760ad6331.png)
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|
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3卷引用:湖湘教育三新探索协作体2021-2022学年高三上学期11月期中联考数学试题
解题方法
4 . 已知数列
为
,…,则它的第9项为___________ ;写出数列
的通项公式___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f60c4b30b97d867f817f640e667f047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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名校
解题方法
5 . 已知数列
中,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c67b13eb9d0f77bd0a4f1c53e56f85d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf021d6aeb1edb89f30b861edd312dca.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-06-14更新
|
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16卷引用:湖湘教育三新探索协作体2021-2022学年高三上学期11月期中联考数学试题
湖湘教育三新探索协作体2021-2022学年高三上学期11月期中联考数学试题海南省海口市第一中学2020届高三9月月考数学试题(A卷)海南省海口市第一中学2021届高三10月月考数学试题(已下线)专题09 数列(选择题、填空题)-备战2022年高考数学(文)母题题源解密(全国甲卷)(已下线)专题2 等差数列与等比数列-学会解题之高三数学321训练体系【2022版】四川省南充市南部中学2024届高三第四次月考数学 (文)试题【全国百强校】安徽省六安市第一中学2017-2018学年高一下学期期末考试数学(文)试题江苏省扬州市新华中学2020-2021学年高二上学期10月阶段性测试数学试题甘肃省武威市武威六中2020-2021学年高三第十次诊断考试数学(文)试题四川省成都市金牛区2021-2022学年高一下学期期末考试数学(理科)试题四川省成都市金牛区2021-2022学年高一下学期期末考试数学(文科)试题云南省玉溪市第一中学2023届高三上学期开学考试数学试题 四川省内江市第二中学2022-2023学年高二上学期开学考试数学(文科)试题河南省济源第一中学2022-2023学年高二上学期期末考试数学试题(已下线)期末精确押题之单选题(45题)-2023-2024学年高二数学上学期《考点·题型·难点》期末高效复习(人教A版2019)云南省昭通市市直中学2021-2022学年高二下学期期末数学试题
6 . 已知在数列
中,
,
,
,
为数列
的前
项和.
(1)求证:
;
(2)求证:
;
(3)求证:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f4e1236d7dc0366d9523d0cbb426be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1220efe972fe0616ee1a7453a864296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](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)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd37e349df476bbf58a23fa8be26bf.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0008d0c0e413c6c10c26affe96cc30.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733e04333482e55496c11e90cb728a41.png)
您最近一年使用:0次
7 . 在数列
中,若对任意的
,都有
(
为常数),则称数列
为比等差数列,
称为比公差.现给出以下命题:
①等比数列一定是比等数列,等差数列不一定是比等差数列;
②若数列
满足
,则数列
是比等差数列,且比公差
;
③若数列
满足
,
,
,则该数列不是比等差数列;
④若
是等差数列,
是等比数列,则数列
是比等差数列.
其中所有真命题的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5310bb9bacac1fbebec2a6a9e45348f.png)
![](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/36a1b09c653185842513e24ebba60bb3.png)
①等比数列一定是比等数列,等差数列不一定是比等差数列;
②若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e57d4c0aff3bb877efc844dbaebd9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3129ddd2ea97fd010b9e0b644225da8c.png)
③若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e1ee88beaddafb0d0a185c3a8e0dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/900336281b0b3b849396d9a3e2a0bfaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cad86abc322098202c6726762b1b6cc.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
其中所有真命题的序号是
您最近一年使用:0次
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|
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