名校
解题方法
1 . 已知正项数列
的前
项和
满足
,若
,记
表示不超过
的最大整数,则
( )
![](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/7cde50840989dd1b867658688bccb4bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ab66ea0e62f481d2f0f475023732c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23145dde872b37ef225d66504b43e21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5605641e382f30b9ea5ac5f4a61c19.png)
A.37 | B.38 | C.39 | D.40 |
您最近一年使用:0次
2 . 已知函数
,
均是定义在
上的连续函数,
为
的导函数,且
,
,若
为奇函数,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703ed40bd5c0835d10ad9cbf7420d375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69506e7b74835041a192b927efd0da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() ![]() | D.存在![]() ![]() |
您最近一年使用:0次
解题方法
3 . 已知数列
满足
,且对任意
均有
.记
的前
项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f768d1bbad078c51e76654aac650059f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96791482d4d8b75a49c4e74079aa9d0.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
A.28 | B.140 | C.256 | D.784 |
您最近一年使用:0次
解题方法
4 . 设正项数列
的前
项和为
,且
,从
中选出以
为首项,以原次序组成等比数列
,
,…,
,…,
.记
是其中公比最小的原次序组成等比数列,则
( )
![](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/017363d40ccfe8aceb85bb6f7d574a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8ebcd5b8f8ae04513834a70575816f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3aaabba90eefb861068bf014f9d0b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f92c44061fda94a2b45b94d7b816555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4c3f450e956bda91ed86a596563a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1898d2723d447e26d25f266bfe3ce4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bfa30eac161e8cfe93f1c5ab4fb42dd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知数列
各项均不为零,且
(
且
),若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799ae9260448f38cd7ecf348923586c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5624e6a7e9ca67277faacdbd4f97c35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
A.19 | B.20 | C.22 | D.23 |
您最近一年使用:0次
2023-04-06更新
|
1002次组卷
|
4卷引用:河南省郑州市十校联考2022-2023学年高二下学期期中数学试题
河南省郑州市十校联考2022-2023学年高二下学期期中数学试题江西省寻乌中学2022-2023学年高二下学期期中数学试题(已下线)专题06 数列在高考中的考法(难点,十一大题型+过关检测专训)-2023-2024学年高二数学《重难点题型·高分突破》(人教A版2019选择性必修第二册)(已下线)专题07 数列通项与数列求和常考题型归类--高二期末考点大串讲(人教B版2019选择性必修第三册)
2022·全国·模拟预测
6 . 已知函数
的定义域为R,且满足
,对任意实数
都有
,若
,则
中的最大项为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517aa95a8c8ae859a2fea1956f109935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098413b386eea75e98684dcf9c92dfa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695950fe16f7972182bd2d0864e12feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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2022-12-05更新
|
1239次组卷
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5卷引用:2023年普通高等学校招生全国统一考试数学领航卷(八)
(已下线)2023年普通高等学校招生全国统一考试数学领航卷(八)湖北省武汉市江岸区2022-2023学年高二上学期期末数学试题(已下线)专题2 数列的最大项与最小项 微点2 判断数列的最大(小)项之函数图象法与性质法湖北省武汉市华中科技大学附属中学2022-2023学年高二下学期2月月考数学试题新疆维吾尔自治区乌鲁木齐市2023届高三三模数学(文)试题
7 . 十七世纪法国数学家费马猜想形如“
(
)”是素数,我们称
为“费马数”.设
,
,
,数列
与
的前n项和分别为
与
,则下列不等关系一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75734270b367c16d5621c4e3027c4ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4613271f782a90ab580131d09d03d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9da2b0e7b9eca965043be2f38a91f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce78f685d319599074493bcf6238dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce79936ba26165fbadcfce250a3fa5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-04-09更新
|
1363次组卷
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5卷引用:贵州省普通高等学校招生2022届高三适应性测试数学(理)试题
贵州省普通高等学校招生2022届高三适应性测试数学(理)试题贵州省普通高等学校招生2022届高三适应性测试数学(文)试题(已下线)数学-2022年高考考前押题密卷(浙江卷)(已下线)专题11 费马(已下线)考向19等差数列及其前n项和(重点)-2
8 . 在数列
,
中,满足
,且
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17d589b73dcab1c882d0b111eff1463.png)
,则
( )
![](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/daa6de507d8bb63a20380ee1a9e280e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df3054785bacfe0537831c337f57ab92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17d589b73dcab1c882d0b111eff1463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd3a407f908880a2f2804bf84a537bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.5050 | B.5100 | C.10050 | D.10100 |
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2022-01-26更新
|
852次组卷
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4卷引用:浙江省丽水市2021-2022学年高二上学期期末教学质量监控数学试题
浙江省丽水市2021-2022学年高二上学期期末教学质量监控数学试题(已下线)第02讲 等差数列(核心考点讲与练)-2021-2022学年高二数学考试满分全攻略(人教A版2019选修第二册+第三册)(已下线)高二数学下学期期末精选50题(压轴版)-2021-2022学年高二数学考试满分全攻略(人教A版2019选修第二册+第三册)(已下线)4.2.1等差数列的概念(第1课时)(分层作业)-【上好课】2022-2023学年高二数学同步备课系列(人教A版2019选择性必修第二册)
9 . 设正项数列
的前
项和为
,当
时,
,
,
成等差数列,给出下列说法:①当
时,
;②
的取值范围是
;③
;④存在
,使得
.其中正确说法的个数为( )
![](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/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aa5a49eb4ca6fdeec891b62ab8be6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05201ef79a5d5904f492845396fb5470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694e28ab329a5738b2f4073771435760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c8cf0e4defb2d5ff94f17e41e5fc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e932b397c3f82b201dd412a946028ee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
10 . 已知数列
的前n项和为
,若
是公差为d(
)的等差数列,则( )
![](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/832fd7a51831135b6ee6a01981db250e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c3cf26670636d90d6f07d58e374fbf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2021-10-19更新
|
1275次组卷
|
4卷引用:浙江省金华市第一中学2022届高三上学期第一次模拟考试数学试题
浙江省金华市第一中学2022届高三上学期第一次模拟考试数学试题浙江省2022届普通高等学校招生集英苑线上模拟考试(国庆联考)数学试题(已下线)考点23 数列的通项公式-备战2022年高考数学典型试题解读与变式(已下线)重难点08 七种数列数学思想方法-1