名校
解题方法
1 . 已知函数
,
,
恰有3个零点
,
,
,且
,有下列结论:①
;②
;③
;④
.其中正确结论的序号为______ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8467c9cc9e33d79353824c92295006c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d7581e52d1fa9eb225928fabd57fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.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/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9440f2d7ae0b2039fd68e50aec92d55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559566a2c371f26140a968ba4675f1ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a6ff7e95cf76fcd832ee5eed707771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053bbe2262e60c7729b13fbd77729f44.png)
您最近一年使用:0次
名校
2 . 已知函数
,给出以下说法:
①当
有三个零点时,
的取值范围为
;
②
是偶函数;
③设
的极大值为
,极小值为
,若
,则
;
④若过点
可以作
图象的三条切线,则
的取值范围为
.
其中所有正确说法的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e274d6bb0f7e618dcec88bb2791cdcf.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4208889a65489ead5fc22fae3ca26dd9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649ae1af4ab147dd31a773141cdd47d1.png)
③设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee99ca13d8b9948a264d82838b1c436d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
④若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c47bcfe2d1bd9af0b9d80cb1ca9e0b.png)
其中所有正确说法的序号为
您最近一年使用:0次
名校
3 . 定义:如果函数
在
上存在
,
,满足
,则称数
,
为
的上的“对望数”,函数
为
上的“对望函数”,给出下列四个命题:
①二次函数
在任意区间
上都不可能是“对望函数”;
②
为
上的“对望函数”,则
在
上不单调;
③函数
是
上的“对望函数”;
④函数
是
上的“对望函数”;
其中正确命题的序号为______ (填上所有正确命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2151e6ca1843b9457b8a47349467160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36adc4ecc55f14b9069c6657c0df6ca0.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/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
①二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10eb13ecc3eb6d6c155882e0b70b083d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd56f8d9a837e2d69eb075563083ca35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d71f56ef6906bc37ca312051d97d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c627fffd029aace8c83ab69c7951a0e7.png)
其中正确命题的序号为
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2022-01-02更新
|
526次组卷
|
7卷引用:专题3.2 模拟卷(2)-2022年高考数学大数据精选模拟卷(新高考地区专用)
(已下线)专题3.2 模拟卷(2)-2022年高考数学大数据精选模拟卷(新高考地区专用)辽宁省朝阳市育英高级中学2022届高三上学期期末数学试题湖南省湘潭一中、双峰一中,邵东一中2019-2020学年高二下学期联考数学试题北京市首师大附中2021届高三4月份高考数学模拟试题北京市第五中学2022届高三12月第二次阶段考试数学试题(已下线)江苏省南通市如皋市2023-2024学年高三上学期9月诊断测试数学试题上海市嘉定第二中学2024届高三上学期期中数学试题
4 . 已知函数
,
,
恰有
个零点
、
、
,且
,有下列结论:
①
;
②
;
③
;
④
.
其中正确结论的序号为______ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8467c9cc9e33d79353824c92295006c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9aa676fad54f444d64c488445c05c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.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/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9440f2d7ae0b2039fd68e50aec92d55f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559566a2c371f26140a968ba4675f1ce.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b50babdf93967de25ebcf5f09d55381.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053bbe2262e60c7729b13fbd77729f44.png)
其中正确结论的序号为
您最近一年使用:0次
2022-03-07更新
|
657次组卷
|
3卷引用:三省三校(黑龙江哈师大附中、东北师大附中、辽宁实验中学)2022届高三下学期第一次模拟数学(理)试题
三省三校(黑龙江哈师大附中、东北师大附中、辽宁实验中学)2022届高三下学期第一次模拟数学(理)试题福建省南平市浦城县第三中学2023届高三上学期数学期中测试模拟卷试题(3)(已下线)三省三校2022届高三下学期第一次模拟数学(理)试题变式题16-20
5 . 已知函数
和
,若
,现有下列4个说法:①
;②
;③
;④
.其中所有正确说法的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9cc7f5b6853e3e6d0b8ba16ea81edc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9963dcc20d9a6467213797e65f947426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23b2604e5f8be78fbe6cafcb9b7f2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419504736c4934f6e0df4114c3743944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a42526840a0fc525571737bed3d1af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e431fbe9d32c1fb868e4e3d2e1bd81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9b616bddad1c2d129975b2a3067603.png)
A.①②④ | B.①②③ | C.②③ | D.①③④ |
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|
601次组卷
|
2卷引用:河南省南阳市2021-2022学年高二下学期期末数学理科试题
6 . 设
是函数
的导函数,若对于任意的实数x,都有
,给出下列命题:①
是定义域上的增函数;②
;③
的最小值为
;④函数
恰有1个零点.其中正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceec72ad249f0ef8750d12a473148688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e2c1b94d085032398ba2a3473c52edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2356758a542b0808ef040354354228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec887a5238c1ec5e48fad4076282b75.png)
您最近一年使用:0次
7 . 关于函数
,给出下列四个结论:
①
是奇函数;
②0是
的极值点;
③
在
上有且仅有1个零点;
④
的值域是
.
其中,所有正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4a06840005b96bdb51970954a70bd07.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②0是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03afd5d2c4c35e1f0ad6d97636ea549.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
其中,所有正确结论的序号为
您最近一年使用:0次
解题方法
8 . 已知实数
满足
,给出下列结论:
①
;②
;③
;④
.
则所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e004fa02750b5e4f48dbab8a3a9d8a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9707dcd2a38e5cb5fe8222ccacb3e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25f2c46d9ee7d9ce21f91738cf7b133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578bfa2ed37d074ec6b37285c5339699.png)
则所有正确结论的序号为( )
A.①③ | B.②③ | C.①②④ | D.②③④ |
您最近一年使用:0次
名校
9 . 已知函数
,给出下列四个结论:①
是偶函数;②
有无数个零点;③
的最小值为
;④
的最大值为1.其中,所有正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c35262ff414e1e0e937a5fd273f8fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2022-03-29更新
|
1469次组卷
|
5卷引用:北京市海淀区2022届高三一模数学试题
北京市海淀区2022届高三一模数学试题(已下线)考点06 导数及其应用-2-(核心考点讲与练)-2023年高考数学一轮复习核心考点讲与练(新高考专用)(已下线)北京市海淀区2022届高三一模数学试题变式题11-15北京卷专题12导数及其应用(选择填空题)北京市第一七一中学2023-2024学年高二下学期3月月考数学试题
解题方法
10 . 已知正方体
的棱长为1,
、
分别为棱
、
的中点,
为棱
上的动点,
为线段
的中点.则下列结论中正确序号为______ .
①
;②
平面
;③
的余弦值的取值范围是
;④△
周长的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe89951021988a68b8eda8d98c5c5570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a66d1d242f5317fcc90fee9a8e9fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52173c8cc44246823c2bee21a783b731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46060ff16376f584eb554e09686ab703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0814258cf5e34be916ea7774e896738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f06ed3e88f623ed9313d06b1bb2a87ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0487690814e606b108853b9ed32de87.png)
您最近一年使用:0次