1 . 对于函数
,定义:设
是
的导数,
是函数
的导数,若方程
有实数解
,则称点
为函数
的“拐点”.经过探究发现:任何一个三次函数都有“拐点”且“拐点”就是对称中心.设函数
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f05f8658f5b52a3f7aa31e0da5da1fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49691217c9024817a0b1912484090c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49691217c9024817a0b1912484090c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e31c49726750035609ecc76c478f0827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d430917366056be2ba3bdb6f85ae569.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-01-12更新
|
658次组卷
|
3卷引用:湖南省怀化市2019-2020学年高三上学期期末数学(文)试题
2 . 在数列
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210c457ba87675015212f2e3afe4c56c.png)
.
(1)求证:数列
为等差数列;
(2)设数列
满足
,求
的通项公式及
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210c457ba87675015212f2e3afe4c56c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8467337eed9bb6d94c6c22c6d031839d.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7695d7b6905ff9d4cd9b063028cc092.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f2472069daa4c58d9c07d8b34f4f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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)
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名校
3 . 若函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edbd899d8e446ba3bdda83f7bcb95dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb7cfdb4f8027ca24398963db39acf1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02421784473a5cdeb5066fba08531fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edbd899d8e446ba3bdda83f7bcb95dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb7cfdb4f8027ca24398963db39acf1.png)
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2019-12-22更新
|
2463次组卷
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4卷引用:2020届江西省临川第一中学高三寒假收心考一数学(文)试题
2020届江西省临川第一中学高三寒假收心考一数学(文)试题(已下线)考点21 求和方法(第2课时)讲解-2021年高考数学复习一轮复习笔记贵州省遵义第二教育集团2019-2020学年高三上学期第一次大联考数学(文)试题贵州省遵义第二教育集团2019-2020学年高三上学期第一次大联考数学(理)试题
2019高三·全国·专题练习
4 . 设
,若
,则S=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ac2eed962bdd61146b57e411344946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b828ce7a9bb31933bf45f31b09f80d.png)
您最近一年使用:0次
名校
5 . 已知数列
,
,
的前n项和为
.
(1)若
,
,求证:
,其中
,
;
(2)若对任意
均有
,求
的通项公式;
(3)若对任意
均有
,求证:
.
![](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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3f1f8813adcedd56b471961b2ad6a6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97034664bd213a31e81b9625f83d0e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bc2b05dc79b18ecb4ac3f9b5c492d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6576fa9d886b76981b19b8d0c4dfe2d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f1f2cd9423d67152a6324bec2c5a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dccc60738f39c78238b0670e4f319b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc18fb189bf4d9b0acd03a85ea7ce3a6.png)
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6 . 已知数列
的前
项和为
,且
,函数
对任意的
都有
,数列
满足
…
.
(1)求数列
,
的通项公式;
(2)若数列
满足
,
是数列
的前
项和,是否存在正实数
,对于任意
,不等式
,恒成立?若存在,请求出
的取值范围;若不存在,请说明理由.
![](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/3907a9027a075c9a44e664781f6c57e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfca9e2cea383880fb2dfe0e71b9e2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a370319678307399c24a3ae1b35ce0dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf16b47d1a694a5b47da6a35de834881.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9221c0c92a526f65533cdc5400767af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.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/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4a4654967f312bfcc84872a000f767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-11-29更新
|
705次组卷
|
4卷引用:三湘教育联盟2018-2019学年下学期高二期中考试数学试题
名校
7 . 设数列
的通项公式为
,该数列的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004bcc904de32783d7428f1901903a7b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78c0b4ec857e137584ce1615a00894e.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/004bcc904de32783d7428f1901903a7b.png)
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2019-11-09更新
|
988次组卷
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5卷引用:沪教版 高二年级第一学期 领航者 第七章 单元测试卷
沪教版 高二年级第一学期 领航者 第七章 单元测试卷(已下线)2.5等比数列的前n项和(2) -2020-2021学年高二 数学课时同步练(人教A版必修5)(已下线)4.3.2 等比数列的前n项和(2)-2020-2021学年高二数学课时同步练(人教A版选择性必修第二册)江苏省徐州市丰县中学2020-2021学年高二上学期9月第一次调研测试数学试题沪教版(2020) 选修第一册 领航者 第4章 单元测试
名校
8 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e40fed2dce043fc277b823458785587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ab0659da5b590d5235bb24f1054d7e.png)
A.3 | B.4 | C.![]() | D.![]() |
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2019-11-03更新
|
2768次组卷
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5卷引用:【全国百强校】广东省广州市华南师大附中2018-2019学年高一(上)10月月考数学试题(B卷)
9 . 设函数
,计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4df728b7f5ae00f0d6bfc3709560738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6251a0fde6f2d72bb6ce019ea83c6781.png)
您最近一年使用:0次
名校
10 . 已知函数
,则
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b6de9c1f7b4517d2e0b2b5dd94230f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfbef0751064c31e8bcf1f81ab06ab4.png)
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2019-10-11更新
|
870次组卷
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4卷引用:人教A版 全能练习 必修4 第一章 本章能力测评(一)
人教A版 全能练习 必修4 第一章 本章能力测评(一)(已下线)2.5等比数列的前n项和(2) -2020-2021学年高二 数学课时同步练(人教A版必修5)(已下线)4.3.2 等比数列的前n项和(2)-2020-2021学年高二数学课时同步练(人教A版选择性必修第二册)黑龙江省哈尔滨市第一中学校2022-2023学年高三上学期期中数学试题