解题方法
1 . 已知正数a,b满足
;
(1)求ab的最大值;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0d34836cf6d21bcadd4f60793ba150.png)
(1)求ab的最大值;
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296a77a7ca3e70fba643654bf5a99a3b.png)
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2023-10-12更新
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5卷引用:内蒙古自治区呼和浩特市内蒙古师范大学附属第二中学2023-2024学年高一上学期10月月考数学试题
2 . 等差数列
中,
,
.
(1)求数列
的通项公式;
(2)设
,
是数列
的前
项和,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd27bf745b84e70d49271755766820df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4689d7bee411ac71494dcc9e3f83c7d7.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9d937653781a4cf2b3b98cde4d3ebc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77edcaa1293de9a1711359a192c0f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6828a1cf75f19bb74a0e0490bd65c168.png)
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2023-03-25更新
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3卷引用:内蒙古赤峰市八校2023届高三第三次统一模拟考试联考文科数学试题
解题方法
3 . 已知等比数列
中,公比为
.且
.
(1)
为数列
前
项的和,证明:
;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363bc64bc56b3a2aa680eb932c257c53.png)
(1)
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a85e666c3d29dc6d801265748ccdc9d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f68628cb5dc1099b908ce6d221da94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30136113176ba7fe660e998d0873157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
4 . 已知数列
满足
,
.
(1)设
,求证:
是等比数列.
(2)求数列
的前n项和
.
![](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/7b2dda0fb1b0ab489c7e85a73f7d0f1d.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f6214590122d8da59aea719774f0f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-01-17更新
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2卷引用:内蒙古乌兰察布市化德县第一中学2022-2023学年高二上学期期末考试数学(文)试题
5 . 已如数列
的前
项和为
,
,当
时,
.
(1)证明数列
为等差数列,并求
;
(2)求数列
的前
项和为
.
![](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/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9160fbabd8fd7851af4afe3dd7f22037.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8050391385b496e9c059201e4f12600a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3e0f33f160898af3fd21ac2c342271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
6 . 设
中,角
,
,
所对的边分别为
,
,
.
(Ⅰ)证明:
;
(Ⅱ)若
,
,且
,求
的周长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e63471f592531e46277365ed319e2acc.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e15cbd7c42d7b15d7ba8d2b28ab8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb75557d217f59ef1f33e8da1ac0d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9cbf8d0fb00e43f0496592a075a3352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2020-11-24更新
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2卷引用:内蒙古自治区乌兰察布市衡水卓远中学2022-2023学年高一下学期6月月考数学试题
2011·黑龙江·三模
解题方法
7 . 已知a,b,c∈(0,+∞),且a+b+c=1.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b851a7971b0c803ee8ab91f444cfed6.png)
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2020-08-10更新
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18卷引用:内蒙古自治区敖汉旗新惠中学2023-2024学年高一10月月考数学试题
内蒙古自治区敖汉旗新惠中学2023-2024学年高一10月月考数学试题(已下线)第09讲 基本不等式-【暑假自学课】(苏教版2019必修第一册)(已下线)第二章 等式与不等式全章复习与检测卷-【倍速学习法】(沪教版2020必修第一册)(已下线)第二章 等式与不等式(知识清单+典型例题)-【满分全攻略】(沪教版2020必修第一册)(已下线)2011届黑龙江省哈九中高三第三次模拟考试理科数学(已下线)2012年人教A版高中数学必修五3.4基本不等式练习卷(已下线)2013-2014学年广东省湛江第一中学高二下学期中段考理科数学试卷2015-2016学年山东枣庄八中南校高二3月段测文科数学卷人教B版(2019) 必修第一册 逆袭之路 第二章 2.2 不等式 2.2.4 均值不等式及其应用人教A版(2019) 必修第一册(上) 重难点知识清单 第二章 一元二次函数、方程和不等式 单元学能测评(已下线)2.2.4+第2课时+均值不等式的应用(同步学案,)-新教材2020-2021学年高一数学同步备课(人教B版必修第一册)(已下线)专题15不等式单元复习-2020年初升高数学无忧衔接(沪教版)(已下线)专题34 不等式(知识梳理)-2021年高考一轮数学单元复习一遍过(新高考地区专用)(已下线)专题34 不等式(知识梳理)-2021年高考一轮数学(理)单元复习一遍过(已下线)专题34 不等式(知识梳理)-2021年高考一轮数学(文)单元复习一遍过(已下线)专题2.4 一元二次函数、方程和不等式章节测试(B)-《聚能闯关》2021-2022学年高一数学提优闯关训练(人教A版2019必修第一册)(已下线)专题02等式与不等式(8个考点)(1)河南省驻马店市第二高级中学2022-2023学年高一上学期第一次月考数学试题