名校
1 . 丹麦数学家琴生是
世纪对数学分析做出卓越贡献的巨人,特别是在函数的凹凸性与不等式方面留下了很多宝贵的成果.定义:函数
在
上的导函数为
,
在
上的导函数为
,若在
上
恒成立,则称函数
是
上的“严格凸函数”,称区间
为函数
的“严格凸区间”.则下列正确命题的序号为 ____________ .
①函数
在
上为“严格凸函数”;
②函数
的“严格凸区间”为
;
③函数
在
为“严格凸函数”,则
的取值范围为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be7581dbbccda50e5d5cd18056ddea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eedbf81c9b62183b1ce85c51dd2226b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eedbf81c9b62183b1ce85c51dd2226b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eedbf81c9b62183b1ce85c51dd2226b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa4b560c48799ad63736f4fbca9b0ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eedbf81c9b62183b1ce85c51dd2226b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eedbf81c9b62183b1ce85c51dd2226b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c482e2e4631a33f5a1206901c8e9a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd2906a2efd6b93ae36e629082234630.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b26f55c7c29644dfe0277d3e2adf10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77887d864954591015412382e8b34cc5.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1807569c10a19abeab5c5587684049d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2235ed37b1bb798c2797de9019eade8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f56bdb1aeda86c3a434053774bb80135.png)
您最近一年使用:0次
2021-05-28更新
|
772次组卷
|
4卷引用:四川省南充市白塔中学2022-2023学年高三上学期入学考试数学(理)试题
四川省南充市白塔中学2022-2023学年高三上学期入学考试数学(理)试题四川省南充市白塔中学2022-2023学年高三上学期入学考试数学(文)试题云南省红河州2021届高三三模数学(理)试题(已下线)专题08 导数与函数综合压轴(选填题)-1
名校
2 . 给出以下四个命题:
①若
,则
;
②已知直线
与函数
,
的图像分别交于点
,则
的最大值为
;
③若数列
为单调递增数列,则
取值范围是
;
④已知数列
的通项
,前
项和为
,则使
的
的最小值为12.
其中正确命题的序号为__________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d6063ee5703cb140dfc69c9cde0bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bfa5bb8b7d70c8dbf01bbc01d2b2019.png)
②已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b923078510697d5f7f9ea392eb76dd9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8feb6516836167daab0bad41689b5d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac35b1e8a952aac4f4cdaaf02d868d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
③若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7c33b314a69d8a715bfd7e1481f0463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb74292380b8df9519b9c33bfd564f8.png)
④已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c4593f37ce523cfa8fb5c102240319.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/49763402b2f2023f0ba64c37924267d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
其中正确命题的序号为
您最近一年使用:0次
2020-05-22更新
|
779次组卷
|
3卷引用:四川省宜宾市叙州区第二中学校2020-2021学年高三上学期开学考试数学(理)试题