名校
解题方法
1 . 已知
,
.
(1)若
,求
的最小值;
(2)求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce460941cf3ff54ccb6aec5085689a91.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead56bb8f5e7a72e9f8640e795caf68d.png)
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2020-09-20更新
|
404次组卷
|
2卷引用:重庆市南开中学2020届高三下学期第九次教学质量检测数学(理)试题
名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7106c35ae2636fe22f787bfec7b867.png)
(1)求函数
的最大值;
(2)证明:若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7106c35ae2636fe22f787bfec7b867.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c270c7508ec18bfae26af47763aab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f930f51361e478079ec18959c188c537.png)
您最近一年使用:0次
名校
3 . 已知
,
.
(Ⅰ)证明:
;
(Ⅱ)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f85bbd9601e85689067611bf9e5f017c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd68c14adb3cf12d8f77aec55a053284.png)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/522ea2b031666780e551b93fe8ca4cff.png)
(Ⅱ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d577b58132e41e66fc041b942e8687d.png)
您最近一年使用:0次
2019-07-18更新
|
1188次组卷
|
6卷引用:重庆一中2018-2019学年高二下学期期末数学(文科)试题
重庆一中2018-2019学年高二下学期期末数学(文科)试题衔接点18 等式与不等式的性质-2020年【衔接教材·暑假作业】初高中衔接数学(新人教版)(已下线)第1节等式性质与不等式性质-2020-2021学年高一数学课时同步练(新人教A版必修第一册)(已下线)3.1+不等关系与不等式(重点练)-2020-2021学年高二数学十分钟同步课堂专练(人教A版必修5)(已下线)第03章不等式(B卷提升篇)-2020-2021学年高二数学必修五同步单元AB卷(人教A版,浙江专用)(已下线)2.1 等式与不等式的性质(精讲)-2020-2021学年一隅三反系列之高一数学新教材必修第一册(人教版A版)
名校
4 . 设
.
(1)当a=2时,求不等式
的解集;
(2)若a>0,b>0,c>0且ab+bc+ac=1,求证:当x
R时,f(x)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339393e96f196c1d26fb0ab7738a68a1.png)
(1)当a=2时,求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e799e937076aa5a7dcd51cdc0f40f6b0.png)
(2)若a>0,b>0,c>0且ab+bc+ac=1,求证:当x
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774c7cfdc6243117f571a88b997e4b8.png)
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2018-04-11更新
|
438次组卷
|
2卷引用:重庆市巴蜀中学2018届高三适应性月考(七)数学(文)试题
9-10高三·重庆·期中
名校
解题方法
5 . 设数列
的前
项和为
,对任意的正整数
,都有
成立,记
(
),
(1)求数列
的通项公式;
(2)记
(
),设数列
的前
和为
,求证:对任意正整数
,都有
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3ec1726461d5ad9c7e19004dff67c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e279470de7f4cf3e35cdefcf006bb76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ee77bfceb2d1e15120ba31621f9c86a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ef8539a7a09303a95b4e79fb9949fc.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6828a1cf75f19bb74a0e0490bd65c168.png)
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2016-11-30更新
|
784次组卷
|
5卷引用:2011届重庆市西南师大附中高三期中考试理科数学卷
(已下线)2011届重庆市西南师大附中高三期中考试理科数学卷(已下线)2010-2011学年湖南省师大附中高一下学期期末考试(数学)(已下线)2013-2014学年广东省汕头市金山中学高一下学期期末考试数学试卷2016届安徽省六安市一中高三上学期第四次月考理科数学试卷福建省厦门六中2018-2019学年高二上学期期中考试数学(文科)试题
真题
解题方法
6 . 已知各项均为正数的数列{
}的前n项和满足
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2601e41c06e1603f21c7995b4bb7f051.png)
(1)求{
}的通项公式;
(2)设数列{
}满足
,并记
为{
}的前n项和,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ab3ad3eab551995ffba49295b21247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2601e41c06e1603f21c7995b4bb7f051.png)
(1)求{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a184a2c27de2c7e013dff54a9c9d657c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87820fb0305b20e21e5f8579bcd673c.png)
您最近一年使用:0次
2016-11-30更新
|
2006次组卷
|
3卷引用:2007年普通高等学校招生全国统一考试理科数学卷(重庆)
名校
7 . 已知函数
,
.
(Ⅰ)讨论
的单调性;
(Ⅱ)若
存在极值点
且
,求证:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21baf8f1d43c1f3747a1be2b3cd68b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3e3bcd67cf1a355986c6e3132470c7.png)
(Ⅰ)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c7e00a742229216ae22f20e326f49e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0bf721eb15518d5dc73d36c342c7e5.png)
您最近一年使用:0次
2020-09-20更新
|
370次组卷
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2卷引用:重庆市第八中学2020届高三下学期第五次月考数学(文)试题
8 . (1)已知
,比较
与
的大小.
(2)已知
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1877e5f542281fe362c025d1b26bf46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f77080e3e42298d09fb2bf199cd7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6933572874f9bf5d1e2dae8b147fc651.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595e7451cd2e6a5b129517a807262034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d91e7b0d6ef8db20d01552b1d5469b.png)
您最近一年使用:0次
2020-02-04更新
|
285次组卷
|
2卷引用:人教B版(2019) 必修第一册 逆袭之路 第二章 等式与不等式 整合提升