名校
解题方法
1 . 定义:若对
恒成立,则称数列
为“上凸数列”.
(1)若
,判断
是否为“上凸数列”,如果是,给出证明;如果不是,请说明理由.
(2)若
为“上凸数列”,则当
时,
.
(ⅰ)若数列
为
的前
项和,证明:
;
(ⅱ)对于任意正整数序列
(
为常数且
),若
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9e587fa47050e45101bbfbfe129fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3adcc926ce1056eefbad88408820424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48407f815d07eb8b5dfa8d34b724512e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede85acd5056e2907a48131e71c45411.png)
(ⅰ)若数列
![](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/0a62e059e03eda6884da213547097ed9.png)
(ⅱ)对于任意正整数序列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6f1287d0218a833f34a97a9db24cef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e988e0b43c5730e1c104004514801d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c9507d571eb0de009f16f1837579f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-04-10更新
|
667次组卷
|
3卷引用:安徽省池州市第一中学2024届高三第一次模拟联合检测数学试题
名校
2 . 已知函数
,若
,则
的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0debeaf4f2443669ea5a4ba5afedebae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c6d346aa9e66f29d62a3a74466c1bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149fd626bd54c54146ed5ec264cbf56b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef699e4735d5cbec2d12fbec2dec4e7a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-04-18更新
|
2830次组卷
|
11卷引用:【市级联考】安徽省安庆市市示范中学2019届髙三联考文科数学试题
【市级联考】安徽省安庆市市示范中学2019届髙三联考文科数学试题【校级联考】甘肃省白银市靖远县2019届高三第四次联考数学(文)试题【市级联考】河南省濮阳市2019届高三5月模拟考试数学(文)试题(已下线)专题7.3 基本不等式及其应用(练)【文】-《2020年高考一轮复习讲练测》(已下线)专题7.3 基本不等式及其应用(练)-江苏版《2020年高考一轮复习讲练测》2020年普通高等学校招生全国统一考试 文科数学样卷(十二)(已下线)考点33 数列求和(考点专练)-备战2021年新高考数学一轮复习考点微专题(已下线)专题22数列求和方法的求解策略解题模板(已下线)专题08 头痛问题之数列中的复杂递推式-备战2020年高考数学二轮痛点突破专项归纳与提高山东省枣庄市滕州市第一中学2019-2020学年高二上学期期中数学试题山东省枣庄市2019-2020学年高二上学期期中数学试题
3 . 已知函数
,满足
(
,
均为正实数),则
的最小值为_____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca57cc4ccfda9cd37a8253bfbca2985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097fefa6ce5527bad0c0e81cc5f6e81c.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/ce460941cf3ff54ccb6aec5085689a91.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
,若
.则
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65b6112054804f4b972cc0af58f4078c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70510da474c0ad3cb7afb45241b51ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a0aae6e56e3fd8f0a9b0c9c9ab7ac0f.png)
您最近一年使用:0次
5 . 设奇函数
对任意
都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27e2118fa68ca2939b815df2d1aa6eb.png)
求
和
的值;
数列
满足:
,数列
是等差数列吗?请给予证明;
![](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/b27e2118fa68ca2939b815df2d1aa6eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf1693d7d386d92a5ab540f194251cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fef5f357f94e1e162cc47a99f9ab1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc48b77d1960d53b8f85ae984e1a8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd23eefdd44e679b004f2c978e87208e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee01b7c9762dc0193fef13df0d17089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
6 . 已知函数
,满足
(a,b均为正实数),则ab的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca57cc4ccfda9cd37a8253bfbca2985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e6fabbfe0ecc5ae980407906f07f81.png)
您最近一年使用:0次