名校
1 . 设
,函数
.
(1)求函数
的单调区间;
(2)设
,若
有两个相异零点
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d084e6dd3d1470199f6570a40e90181.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703dc8eb79d0257c501074bf39918a32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2775ffdf695af2d263f0ea93ac5904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21cca559f21f8f69a7dec5789e0b4348.png)
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2020-03-17更新
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3卷引用:2019届云南省曲靖市高中毕业生(第二次)复习统一检测理科数学试题
名校
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71191bf79de3de634aefb1b32abb5fd.png)
(1)判断函数
的单调性;
(2)若函数
有极大值点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71191bf79de3de634aefb1b32abb5fd.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fffc350804bb682654b34487c4a619a.png)
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2019-12-02更新
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6卷引用:云南省玉溪第一中学2022-2023学年高二下学期期中考试数学试题
云南省玉溪第一中学2022-2023学年高二下学期期中考试数学试题江西省抚州市临川第一中学2019-2020学年高三上学期期中数学(理)试题2020届江西名校高三11月大联考理科数学试题(已下线)全国名校2019年高三11月学科网大联考考后强化卷-理科数学新高考2021届高三考前保温热身模拟卷数学试题(二)(已下线)模块四 期中重组篇(人教B版高二下云南)
3 . 已知函数
.
讨论
的极值点;
当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c542d6f53091d5c36b6bd3a948c6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae018fde08edf0539089f98c17e11ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d85d53bdb73b25e49c85327a6a5c873c.png)
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名校
4 . 已知
.
(1)若
恒成立,求
的取值范围.
(2)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0952317069a3345ab59c81eda5cb6bba.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fc432320d5be3a23e730ccc7184bb16.png)
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