1 . 已知数列
中,
,
,下列说法正确的是( )
(参考公式:
)
![](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/2aaffdf9229abcc79451a992f69778ab.png)
(参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a2b1ba86f57af9387eff5d8298cbef.png)
A.![]() |
B.![]() |
C.存在![]() ![]() |
D.![]() |
您最近一年使用:0次
2 . 已知数列
中的各项均为正数,
,点
在曲线
上,数列
满足
,记数列
的前
项和为
.
(1)求
的前
项和
;
(2)求满足不等式
的正整数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e84acca52a2cc7742fb4795907b57a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef469c7b7cb9945b984222381b9c000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b24d292d2bcd6a9c5aa8eb66d2b4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
(2)求满足不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08568e60a800698c211545a089d9910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
解题方法
3 . 设函数
,
,
(
,n≥2).设数列
的前n项和
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/658f421181d9b3eae6063aa92707f557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3afc1dd528d62c84b130fbcdf1e58050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1033e64a509e56aa51174e145a026671.png)
您最近一年使用:0次
4 . 如图,某数阵满足:每一行从左到右成等差数列,每一列从上到下成公比相同的等比数列,数阵中各项均为正数,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550427147909013f0491fe8a24d9a5d4.png)
________ ;在数列
中的任意
与
两项之间,都插入
个相同的数
,组成数列
,记数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4331b9fb70a31f8f02b003eea6054c4e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f75e8a3038e0c054a23817196079209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e9bee3a8f1a37ac6c60ae8796027eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550427147909013f0491fe8a24d9a5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6fd28652117b5c5c61d9032bf78f259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f867d0ca7748f1d788aa81ebaf9bb3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f91e65e0726d85ac43389dc345abda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ea71117a2bf34302a0d2017e1c60e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c75f960d4e68b4405a28cae0eaceda1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4331b9fb70a31f8f02b003eea6054c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb936f339f336ed6cc820b803dbd9caf.png)
您最近一年使用:0次
解题方法
5 . 已知无穷数列
满足:①
;②
(
;
;
).设
为
所能取到的最大值,并记数列
.
(1)若
,写出一个符合条件的数列A的通项公式;
(2)若
,求
的值;
(3)若
,求数列
的前100项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6b7c794c3329ca99a71eb07c4a7b5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed8d9def91c6734e75134ef49ba0418a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a21caee5b908cd571bf28d61be90aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228114fab3c07bc63978df7e2dc31953.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8faa0cc59f291d53f801546d5dabe6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fa5e5f1551d40f96a03ca6975e68f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d00457e8d086f28ea1b24bd880c9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297bc58fc87efa1f15d7eb9b5eb42260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fb6fbf69268bc82274bc7ff03010c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51cf6e2a57173496d722a325ffd16af.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e35c9a35017d2fdcd10f76b4a776419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879ed18e2aaf5ef408be9e6ac8d9e30a.png)
您最近一年使用:0次
2022-05-30更新
|
1420次组卷
|
5卷引用:北京市东城区2022届高三下学期综合练习(三)数学试题
北京市东城区2022届高三下学期综合练习(三)数学试题(已下线)2022年新高考北京数学高考真题变式题13-15题(已下线)2022年新高考北京数学高考真题变式题19-21题北京卷专题18数列(解答题)(已下线)专题11 数列前n项和的求法 微点8 分组法求和
名校
解题方法
6 . 已知等比数列
前
项和为
,且
,
是
与
的等差中项,数列
满足
,数列
的前
项和为
,则下列结论正确的是( )
![](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/4b79a42580dc46cb4ed5a14e09ab5e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77311d40ef50a900cb46680f917f0d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20071a42c1f9eac2b173d77d37381da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c06b25f2556bdb4d2e1a42e5cfeb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
A.数列![]() ![]() | B.![]() |
C.数列![]() | D.![]() |
您最近一年使用:0次
2023-06-17更新
|
646次组卷
|
4卷引用:福建省宁德市2022-2023学年高二上学期区域性学业质量监测(期中)数学试题(A卷)
20-21高二·全国·课后作业
名校
解题方法
7 . “
”表示不大于x的最大整数.例如
,
,
,下列关于
的性质:正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ddcf99e3e613fd8c8076f7b131161f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df88f17552c22a132b99d768789fb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29af2d49384286f2c948b7f57697c6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
A.![]() |
B.若![]() ![]() |
C.若数列![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
2022-03-19更新
|
1427次组卷
|
6卷引用:4.3.2 等比数列前n项和2课时
(已下线)4.3.2 等比数列前n项和2课时山西省山西师范大学实验学校2021-2022学年高二上学期第二次月考数学试题湖南省长沙市第一中学2022届高三下学期月考(八)数学试题(已下线)第05讲 等比数列的前n项和公式-【帮课堂】2021-2022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)4.2 等比数列(精讲)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)陕西省宝鸡市陈仓区虢镇中学2022-2023学年高二上学期10月月考数学试题
名校
8 . 已知函数
(
为自然对数的底),
,记
为
从小到大的第
个极值点,数列
的前
项和为
,且满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d128c8ae177cfc55ddd5dfa74cc64371.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.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/84d520ad95058bf8de11a2f6d92f9464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-14更新
|
798次组卷
|
5卷引用:甘肃省2024届高三下学期3月月考(一模)数学试题
甘肃省2024届高三下学期3月月考(一模)数学试题福建省莆田第四中学2023-2024学年高二下学期第一次月考数学试卷(已下线)第16题 抽象函数与数列结合(一题多变)(已下线)【练】专题10 数列与其它知识的交汇问题(已下线)压轴题05数列压轴题15题型汇总-3
9 . 已知数列
满足
,
.
(1)若
且
.
(ⅰ)当
成等差数列时,求k的值;
(ⅱ)当
且
,
时,求
及
的通项公式.
(2)若
,
,
,
.设
是
的前n项之和,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa01f03fb074bff35b35e07047d11b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38bd0a9051231fd917cf3960e8962bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
(ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4711944aa361bd9f2ed566b24c6888ec.png)
(ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcf678291067776ffae329502725316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17328211a08b1511c0eea17fb58ce12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d9b27f78829b57da918aa20936a198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8184f4d9a5af26b434d70d96bb5220fe.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/a6f422edb72f7e1d5529a5570feb77df.png)
您最近一年使用:0次
2022-04-08更新
|
1396次组卷
|
3卷引用:浙江省杭州市2022届高三下学期4月教学质量检测(二模)数学试题
名校
解题方法
10 . 已知无穷数列A:
,
,…满足:①
,
,…
且
;②
,设
为
所能取到的最大值,并记数列
:
,
,….
(1)若数列A为等差数列且
,求其公差d;
(2)若
,求
的值;
(3)若
,
,求数列
的前100项和.
![](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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df437d00ab1fd773e9d8d8f378455f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a49997086be2e13a271a4a7b1d4c399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f63f64193d72aca5e88a2ea51e5ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d00457e8d086f28ea1b24bd880c9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f766f204cf98d973ad5abe03b235e95a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6398ba56f5a708d2d85a02320e1a389d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce8c641c42b6cd7f44c477bbe5761a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7488ed7332650aa2bc908edbd38c05e8.png)
(1)若数列A为等差数列且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7104dd8a81267b6c15ceedcefccfa20.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6398ba56f5a708d2d85a02320e1a389d.png)
您最近一年使用:0次
2023-04-02更新
|
644次组卷
|
4卷引用:上海交通大学附属中学闵行分校2022-2023学年高二下学期3月月考数学试题
上海交通大学附属中学闵行分校2022-2023学年高二下学期3月月考数学试题上海市交通大学附属中学2022-2023学年高二下学期3月卓越考试数学试题江苏省南京市2024届高三上学期零模考前押题数学试题(已下线)4.4 数学归纳法(五大题型)(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)