名校
1 . 已知函数的导函数的图象如图所示,则函数的单调增区间是________ .
![](https://img.xkw.com/dksih/QBM/2024/5/13/3496057796222976/3503234253529088/STEM/e0bb8ccad63b458ea9bf610c87370435.png?resizew=190)
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名校
解题方法
2 . 已知函数
的定义域为
,
为其导函数,函数
的图象如图所示,且
,
,则不等式
的解集为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604d4be927e22330147c4763c7aaa869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e7269e4e8e80911aabb95fa6226d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb9410ec973399878d7b6bda3955faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7233cead6cf00f3d23eba8e42be2185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744ea4a81d988ee09f4e59144bcd6a4f.png)
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解题方法
3 . 如图所示为函数
的图象,
是
的导函数,
和
分别为极大值点和极小值点,则不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e70dc53b4ce33d99f43389924a81bf79.png)
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2024高三下·全国·专题练习
解题方法
4 . 已知
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15ea861470c12ba7eafd005c4892c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17f0e8b46abf6e3d0b89a9bf58ec62c.png)
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解题方法
5 . 设函数
可导,
的导函数的图像如下图所示,则下面判断正确的是______ .(将所有正确的结论序号填在横线上)
上
是增函数
②在区间
上
是减函数
③在区间
上
是增函数
④当
时,
取极大值
⑤
是
的一个驻点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879a4007beef22e009248112d664f7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ce2f5e22175e3ff8ab5e0afca58f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92418f910b93502041350259b221ea34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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2024高三下·全国·专题练习
6 . 已知函数
,其导函数
的图象如图所示,过点
和
.函数
的单调递减区间为________ ,极大值点为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46ab0878e8125b7ca2d1c2337f047b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851c68ef2e0703706f3b528daa902eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4842b78ead9d2fad8956b1feac655063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff32d26c8d44f5fb4813a19c1030a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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2024高三下·全国·专题练习
解题方法
7 . 已知函数
的图象过
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c53ba20b6e6cfd43641211e0a8dda4.png)
____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8a4fe2e966d17009e4061ea89eecab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8530bca5123179cfede86d03738495e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0060a368e8f3463fb22f9d354b64a98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5d60289b653452d59e328bf79556c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c53ba20b6e6cfd43641211e0a8dda4.png)
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8 . 函数
的导函数
的图象如图所示,以下命题正确的是__________ .
是函数
的极值点; ②
是函数
的最小值点;
③
是函数
的极小值点; ④
在区间
上单调递增
⑤
在
处切线的斜率大于零; ⑥
是函数
的驻点也是极值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851c68ef2e0703706f3b528daa902eb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddd46c180401ad4e86b9ef4d5883721.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
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名校
解题方法
9 . 如图所示为函数
的图象,则不等式
的解集为 ____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebef3dc4713b47f2f3f9c9ba41fe8dec.png)
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2024-03-21更新
|
1260次组卷
|
3卷引用:湖北省黄冈市黄梅县育才高级中学2023-2024学年高二下学期第二次月考(3月)数学试题
解题方法
10 . 已知函数
及其导函数
的图象如下图所示,若函数
在
上恰有3个不同的零点
,
,
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4250e1272028150feeab816d9fec43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5175a4148b2a704eb29dd3bb77d033c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e615a5ca4d8e679a19c4e90687c59d66.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
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