13-14高二下·湖北荆门·期末
1 . 若数列
满足
(
为常数,
,
),则称
为“等方比数列”.甲:数列
是等方比数列;乙:数列
是等比数列,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6240253e94b09a03b0c122a53bc1e290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e167b43045b3297248e334c41c621b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.甲是乙的充分非必要条件 | B.甲是乙的必要非充分条件 |
C.甲是乙的充要条件 | D.甲是乙的既非充分也非必要条件 |
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13卷引用:考点02 命题及其关系、充分条件和必要条件-备战2022年高考数学典型试题解读与变式
(已下线)考点02 命题及其关系、充分条件和必要条件-备战2022年高考数学典型试题解读与变式沪教版(2020) 选修第一册 领航者 第4章 复习与小结(1)沪教版(2020) 选修第一册 单元训练 第4章 单元测试天津市南开中学2022-2023学年高三上学期统练5数学试题(已下线)2013-2014学年湖北省荆门市高二下学期期末质量检测理科数学试卷上海市向明中学2018-2019学年下学期高一5月月考数学试题沪教版 高二年级第一学期 领航者 第七章7.9 复习与小结(1)沪教版(上海) 高二第一学期 新高考辅导与训练 第7章 数列与数学归纳法 7.3(1)等比数列的定义与通项公式的应用上海市外国语大学附属外国语学校2020-2021学年高二上学期12月月考数学试题河南省濮阳市第一高级中学2021-2022学年高二上学期期中质量检测数学(文)试题2007年普通高等学校招生考试数学(理)试题(湖北卷)沪教版(2020) 选修第一册 高效课堂 第四章 每周一练(3)(已下线)2024届高三开学摸底考试
2 . 设数列
,若存在常数
,对任意小的正数
,总存在正整数
,当
时,
,则数列
为收敛数列.下列关于收敛数列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7e9f86738335a22298559db41037a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84c29bfcb2e31e3c21967ede660eaa0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921c6a888803a9e2ac2d7411e32ef834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.若等比数列![]() ![]() |
B.等差数列不可能是收敛数列 |
C.设公差不为0的等差数列![]() ![]() ![]() ![]() |
D.设数列![]() ![]() ![]() ![]() ![]() ![]() |
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3 . 已知
为最接近
的整数,数列
满足
,则数列
的前110项和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35614ae44163c495c9a85b2a58dcd662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d278d6ec729ca24df7fbe7a4306576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.15 | B.20 | C.40 | D.60 |
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解题方法
4 . 定义数列
前
项的乘积
,已知
,对任意的
,
恒成立,则实数
的范围是( )
![](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/99d1e514f92cbe9a3671905f543a704e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddcb3932e5a9cfdd779b35f77173ff4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5cf9c12181dd8683944b2b30bf8e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0df95b6105fe770f4a81bf9453a2b203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
5 . 已知数列
,若存在一个正整数
使得对任意
,都有
,则称
为数列
的周期.若四个数列分别满足:
①
,
;
②
,
;
③
,
,
;
④
,
.
则上述数列中,8为其周期的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2b94cbf8f1acc77ed2618d9ba5756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65dc24efb25d45066dd25aad9958996.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf7b08386d0bc9b6393d4a4e46e77be.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e1ee88beaddafb0d0a185c3a8e0dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf707341083a8aa04dbf8d22a02654e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e236fc9ae30a082b4e7ef16b520cbffa.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea6578afabc23f5d7041b88c3790dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646ceaeea64ac847d43782db3f02f1ab.png)
则上述数列中,8为其周期的个数是( )
A.1 | B.2 | C.3 | D.4 |
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6 . 对于数列
,如果
为等差数列,则称原数列
为二阶等差数列,一般地,如果
为
阶等差数列,就称原数列
为
阶等差数列.现有一个三阶等差数列,其前7项分别为1,5,11,21,37,61,
,则该数列的第7项为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acfbe600b6693d767b3ab194f8d172f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
A.101 | B.99 | C.95 | D.91 |
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7 . 在数列
中,对任意
N*,都有
为常数
,则称
为“等差比数列”
下面对“等差比数列”的判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896ceb3a5ed0b96d7a791db941c6622b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac01310268d7809229fb32d01bc4bb66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
A.![]() ![]() |
B.等差数列一定是等差比数列 |
C.等比数列一定是等差比数列 |
D.通项公式为![]() |
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5卷引用:江西省新余市第一中学2021-2022学年高二下学期开学考试数学(文)试题
名校
解题方法
8 . 若数列
满足
(
,
为常数),则称数列
为“调和数列”.已知数列
为“调和数列”,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c697bf8d59f10fa93f6a535b4ded6e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979ecc3d69ce91c4cdfb737463d81d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7c8fd18aa7b0cf18368ab4bc26a4c0.png)
A.15 | B.20 | C.25 | D.30 |
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名校
解题方法
9 . 设数列
:
,
,…,
,若存在公比为q的等比数列
:
,
,…,
,使得
,其中
,2,…,m,则称数列
为数列
的“等比分割数列”.若数列
的通项公式为
,其“等比分割数列”
的首项为1,则数列
的公比q的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b3d5a6659f79a6b35b3a7d7c1116af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db47dfe65f91bfa6ce4e1069d42160a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbf1f7cecde78ae111de6767502eac4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264f0eb9ba3f04118c0cc9b5918cac23.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea751419a4caf5b4c827d9188c4c09f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bd4fc5caf48cefa85417f70d5f5738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bd4fc5caf48cefa85417f70d5f5738.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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安徽省亳州市蒙城县第六中学2022届高三下学期开年联考理科数学试题安徽省亳州市蒙城县第六中学2022届高三下学期开年联考文科数学试题(已下线)重难点专题03 等比数列及其前n项和-2022-2023学年高二数学重难点题型分类必刷题(人教B版2019选择性必修第三册)(已下线)4.2 等比数列(第1课时)(十大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)专题04 等比数列(十六大题型+过关检测专训)(2)
10 . “天干地支纪年法”(也叫农历)源于中国,中国自古便有十天干与十二地支.十天干:甲、乙、丙、丁、戊、己、庚、辛、壬、癸.十二地支:子、丑、寅、卯、辰、巳、午、未、申、酉、戌、亥.天干地支纪年法是按顺序以一个天干和一个地支相配,排列起来,天干在前,地支在后,天干由“甲”起,地支由“子”起,比如第一年为“甲子”,第二年为“乙丑”,第三年为“丙寅”,…,依此类推,排列到“癸酉”后,天干回到“甲”重新开始,即“甲戌”,“乙亥”,之后地支回到“子”重新开始,即“丙子”,…,依此类推.今年(2021年)为“天干地支纪年法”的辛丑年,为了推算公元
年(
为不小于2021的正整数)所在的农历年份,我们定义数列
:
的余数,若
,则公元第
年为辛丑年;若
,则公元第
年为壬寅年,依次类推,…,则以下不正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44de943e15bdc95a11895e9a1392f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bd42f8e3f220a7b1c6f6945e73bc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15ffa7fecea3704dc892ea8cd513c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
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