名校
解题方法
1 . 已知
,满足
,给出下列四个结论:①
;②
;③
;④
.其中一定成立的结论是__________ (写出所有成立结论的编号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b75a2236eb69ad2e5b47163166e819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f9bf034aa02b5488c815517f13df3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea7b40fb78703a118ab61820f6742f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c1754a820689e353d1793af8ee008f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ad0e87974f63ab2947185643510034.png)
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2023-11-05更新
|
168次组卷
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3卷引用:四川省眉山市仁寿县文宫中学2023-2024学年高一上学期12月月考模拟数学试题
四川省眉山市仁寿县文宫中学2023-2024学年高一上学期12月月考模拟数学试题上海市民办文绮中学2023-2024学年高一上学期期中数学试题(已下线)第四章 幂函数、指数函数与对数函数全章复习-【倍速学习法】(沪教版2020必修第一册)
名校
2 . 已知
、
为实数且
,有下列不等式:①
;②
;③
;④
;其中恒成立的不等式序号为___________ .
![](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/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775da52de420f9cb8576daae625b0435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ef1faed0582b0105eddbd934b15556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa23408bcc9f6200f22a310e5f2569a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415b170f0664bf26e04598e599952bd1.png)
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名校
3 . “
,
”是“
”的______ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa23408bcc9f6200f22a310e5f2569a.png)
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4 . 对于三元基本不等式请猜想:设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec197b8ab457cfee3d4733f3d7f8d6f3.png)
_________ ,当且仅当
时,等号成立(把横线补全).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec197b8ab457cfee3d4733f3d7f8d6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44acc0ee22dc4b7750e8be825e7c1355.png)
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名校
解题方法
5 . 若
,
,
,则下列不等式对一切满足条件的
,
恒成立的是______ (写出所有正确不等式的编号).①
;②
;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.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/8564d76ca5357c0f6237e48086d23f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed2296215d64f2df2cedc608a10dc61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec307143b4bf45106369f256a796d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f74ed01523c6de67b01c24bfe52b6c.png)
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2021-11-28更新
|
284次组卷
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2卷引用:海南热带海洋学院附属中学2021—2022学年高一上学期数学第三次测试试题
名校
6 . 已知
,
,给出下列四个不等式:
①
;②
;③
;④
.其中正确的不等式有____ .(填上所有正确的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867605280baa0ef6eae91fef029a4935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f25f5a29bb1154b41629c927ce1901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad549996b197168189bd1b122e438214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f99c37b67f77a276bf94d7b409ce3.png)
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2021-11-08更新
|
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4卷引用:河南省濮阳市范县第一中学2021-2022学年高一上学期第二次月考检测数学试题
河南省濮阳市范县第一中学2021-2022学年高一上学期第二次月考检测数学试题云南省曲靖市罗平县第二中学2021-2022学年高一上学期第二次月考数学试题福建省福州第十一中学2022-2023学年高一上学期适应性训练(期中)数学试题(已下线)第二章 等式与不等式(知识归纳+题型突破)-速记·巧练(沪教版2020必修第一册)
20-21高三下·浙江·阶段练习
解题方法
7 . 已知非零向量
的夹角为
,若存在两不相等的正实数
,使得
,则
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d491ca1d69c14de489ec68aa280c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00df1b3f0018e39f28c3c8e6325ab4c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce2efd1ca680d9c807725f8f72ff8a93.png)
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名校
解题方法
8 . 有以下结论:
①若函数
对任意实数
都有
,则
图象关于直线
对称;
②函数
与
的图象关于直线
对称;
③对于函数
(
,且
)图象上任意两点
,
,一定有
;
④
是使得
(
且
)成立的充分不必要条件.
其中正确结论的序号为_________ .
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7852a186f6207db185658e9e00ca0eb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/290dfa43bcecc055837374f00dce6fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e67fbb13f7d4b8abb69b93a398fb66ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
③对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ff35f3b50966a5e3cbb0b5977af7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45dddee525114c09ee0d1205aed6e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3b54e0dcdc081d45fb3df933cddc29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7a1783349936cc7254a4a8694c6812.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4175a7316c311be8544ad68a0a9fcf77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
其中正确结论的序号为
您最近一年使用:0次
2020-12-16更新
|
413次组卷
|
3卷引用:安徽省六安市第一中学2020-2021学年高一上学期第二次段考数学试题
9 . 在
,
的情况下,下面四个结论:
①
;
②
;
③
;
④
.
其中正确的是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da880fccd5490abf574da77da9e04a59.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d702d8b5a3199747bf9700d536cebb1.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb2e31608320e989afeeed9a7a8482d.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353a0504082335c98b71653317beabbe.png)
其中正确的是
您最近一年使用:0次
名校
解题方法
10 . 已知
,
,下面四个结论:
①
;②
;③若
,则
;
④若
,则
的最小值为
;
其中正确结论的序号是______ .(把你认为正确的结论的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da880fccd5490abf574da77da9e04a59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ecdbe6300b62d0e478d652e867cbd6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6622e52055d08bba47e58ea25898bd86.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df08e5e36f7265718113d286889e6aef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219ba6c8a1b54598db1a78cab28d9d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
其中正确结论的序号是
您最近一年使用:0次
2020-02-17更新
|
2054次组卷
|
5卷引用:重庆市凤鸣山中学2019-2020学年高一下学期6月月考数学试题
重庆市凤鸣山中学2019-2020学年高一下学期6月月考数学试题江西省吉安市安福二中、吉安县三中、井大附中2020-2021学年高一5月份联考数学试题重庆市实验外国语学校2018-2019学年高一下学期高中学业质量调研抽测数学试题江苏省南通市启东中学2022-2023学年高一上学期期中数学试题(已下线)第二章 等式与不等式(知识归纳+题型突破)-速记·巧练(沪教版2020必修第一册)