1 . 已知命题
:“存在正整数
,使得当正整数
时,有
成立”,命题
:“对任意的
,关于
的不等式
都有解”,则下列命题中不正确 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1563da7b0f046a469476668a3686e8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c8dc96130331c6c6f40c90737df5a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd9736828195f010db4e1f0a9dea7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918b6104c82b80f461068d404eddade5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)若数列
的前
项和为
,证明:
.
![](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/fadfaeb8c49a7b8ee498882361ae5779.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48254411ff33cc418c8baadf2d51de0c.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/6828a1cf75f19bb74a0e0490bd65c168.png)
您最近一年使用:0次
2020-04-17更新
|
1134次组卷
|
4卷引用:2020届金太阳高三4月联考数学(理)试题
2020届金太阳高三4月联考数学(理)试题2020届河南广东等省高三普通高等学校招生全国统一考试4月联考数学(理)试题安徽省阜阳市太和第一中学2019-2020学年高一下学期期末数学试题(已下线)专题16 数列放缩证明不等式必刷100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)
3 . 已知恒正的可导且连续的函数
满足
.
(1)设
,证明:
是常数;
(2)记数列
满足
,
,数列
满足
,记
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35679c97cf16aa592343787a756c7c75.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbf0e4c6778c36cf9408dd0c5158889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4912b9ea2d07c2ef3468916df887916a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695950fe16f7972182bd2d0864e12feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fddacf1c97bf659c5221b3fdd875d6.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5737f1f9cad2471f3ca53241b25a1eb9.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)求不等式
的解集;
(2)若
的最小值为
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ab8ae5534e1b1ca2c1422da8b3e4e6.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173f99d0a0cf852179fe8cf28d7c5332.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/961c3643c697896f8958a59e06cd0c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f36d335d9d9b99e8615685e6c0c32ec.png)
您最近一年使用:0次
名校
解题方法
5 . 已知数列
满足:
,
.
(I)求证:数列
是等比数列;
(II)设
的前
项和为
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2f0ce5532f83e0ae73d0410e818334.png)
(I)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345edc602f5c52122b91e6864902fb8a.png)
(II)设
![](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/1e583e5b521b9f7427560078dd8e7906.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
.
(1)求不等式
的解集;
(2)设函数
的最小值为m,当a,b,
,且
时,求
的最大值.
![](https://img.xkw.com/dksih/QBM/2020/3/9/2415737295060992/2416062545199104/STEM/34c49c58bd714133920bb56a98d7f14a.png?resizew=177)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4509817be39bef4bcde115996ee39e8.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac49619543ace1f24754240fcf6cb09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e644e75022aa5372e81410c95f393b10.png)
您最近一年使用:0次
2020-03-09更新
|
991次组卷
|
15卷引用:【省级联考】东北三省四市2019届高三第一次模拟数学(文)试题
【省级联考】东北三省四市2019届高三第一次模拟数学(文)试题【市级联考】东北三省四市2019届高三第一次模拟数学(理)试题1【市级联考】辽宁省大连市2019届高三第一次模拟考试数学(理)试题【市级联考】东北三省四市2019届高三第一次模拟数学(理)试题2【市级联考】东北三省四市2019届高三第一次模拟数学(文)试题【市级联考】吉林省长春市普通高中2019届高三质量检测(三)数学(理)试题【市级联考】吉林省长春市普通高中2019届高三质量检测(三)数学(文科)试题江西省南昌市第二中学2019-2020学年高三第四次月考数学(文)试题2020届四川省泸县第一中学高三下学期第一次在线月考数学(理)试题2020届四川省泸县第一中学高三下学期第一次在线月考数学(文)试题河北省石家庄市第二中学(南校区)2019-2020学年高三下学期教学质量检测模拟数学(理)试题2020届湖南省长沙市长郡中学高三下学期4月第三次适应性考试数学(文)试题(已下线)理科数学-2020年高考押题预测卷03(新课标Ⅱ卷)《2020年高考押题预测卷》(已下线)文科数学-2020年高考押题预测卷03(新课标Ⅱ卷)《2020年高考押题预测卷》(已下线)专题23 不等式选讲-2020年高考数学(文)母题题源解密(全国Ⅲ专版)
名校
解题方法
7 . 已知正项数列
满足
,
.
(1)证明:数列
是等比数列;
(2)证明:
.
![](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/63ea044a0a60e5979652dd7b258a3d6e.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde3d3492a04c06a696efed42bdd72bd.png)
您最近一年使用:0次
8 . 已知数列
满足
,
,
,
.
(1)证明:数列
是等比数列;
(2)求数列
的通项公式;
(3)证明:
.
![](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/9652f65b28e2032c0cbc2a9649db4f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e70b04fb4879fd9b98a103c793414c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e97769855336d73371930df1f187875e.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecdd983fbc86b85780272ceaa485213.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460051e994f6e23bd5810a40f7bd21a.png)
您最近一年使用:0次
2020-02-19更新
|
2837次组卷
|
4卷引用:浙江省绍兴市2018-2019学年高一下学期期末数学试题
9 . 在数列
中,
,
(
,
是常数).
(1)当
,
时,求数列
的通项公式;
(2)当
,
时,设
,求证数列
是等比数列;
(3)在(2)的条件下,记
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f4702282b8a6fc12bd46d89aff3ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3012337aa392709349731fb1eef5b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60acf58bad78854a0db851c42f739543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128d43fbfe37d2334f8666239efc7e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)在(2)的条件下,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215f14cdf94bb76da59e7192cf0f3944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd158b82679511af01fea146a5e2b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2905b0ba7e89d825a87f4fec1b5e38a.png)
您最近一年使用:0次
10 . 已知数列
,
的前
项和分别为
,
,且
,
,
.
(1)求
,
的通项公式;
(2)求证:
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a56efefe3a82c68146c808a4e7ba8e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1069f6687a41501db0a0010237ba06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26169c06e403eebdc0c3ddb42f57dee.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b692cace94f088567b07563ac71c46.png)
您最近一年使用:0次