1 . 当
时,下列不等关系成立的是________ .
①
;②
;
③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689f982af451283289255c87593ec338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c35b63f3612117fff6e59e64ffae9f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48fe5d9cbe4f83926f5c21912df67a2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd7387b4a7046fb064ce285318bba0c.png)
您最近一年使用:0次
2023-08-28更新
|
325次组卷
|
2卷引用:人教A版(2019) 必修第一册 数学奇书 学业评价(十一) 基本不等式
2 . 已知
,有下列不等式:
①
;②
;③
;④
;⑤
.
其中,恒成立的是______ .(写出所有满足要求的不等式序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9cce4ee3c71c6815e7eb0d71c80dce7.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4521d5d9b29cfbfdb624d949439a4f70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b20f398d8772984301018f832966b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8991835eb2cb47f2e282d6cd82739d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf0f9faef596831148ddb43b3c171ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97febc749aad4a08a72445582c01193a.png)
其中,恒成立的是
您最近一年使用:0次
解题方法
3 . 设
,且
,
,有以下结论:①
;②
;③
;④
.则所有正确的结论序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea134f599285e3d32d2ab3e7186990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b3ebed48714649e40c83f3518af52a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3229404458a5031e2ee83a550abcdca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b4a5b722ff0d0e340bfacad99a818b.png)
您最近一年使用:0次
4 . 设a、
,
,有下列不等式:①
;②
;③
;④
.其中恒成立的个数是______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.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/d0defbce6e08542fbcf1f527a6d8cd85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3963df23b4eea847c15acc328d645e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa23408bcc9f6200f22a310e5f2569a.png)
您最近一年使用:0次
5 . 若a、b、
,且满足
,
,
,则
与ab的大小关系是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f306d2b261f4c39a9fc0858d96e647.png)
![](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/5e8afa3dc14fd632d8b251c8e279c5ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566f7614d51f0348db982a9440de8844.png)
您最近一年使用:0次
名校
6 . 已知
,
,
,则在下列不等式①
;②
;③
;④
;⑤
其中恒成立的是___________ .(写出所有正确命题的序号)
![](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/8564d76ca5357c0f6237e48086d23f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ec307143b4bf45106369f256a796d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed2296215d64f2df2cedc608a10dc61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f74ed01523c6de67b01c24bfe52b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/286599adad18d9fd48fae72d5062e9e5.png)
您最近一年使用:0次
2021-11-07更新
|
410次组卷
|
3卷引用:沪教版(2020) 一轮复习 堂堂清 第一单元 1.8 基本不等式及其应用
沪教版(2020) 一轮复习 堂堂清 第一单元 1.8 基本不等式及其应用上海市延安中学2021-2022学年高一上学期期中数学试题(已下线)第06讲 基本不等式-【暑假自学课】2022年高一数学暑假精品课(人教版2019必修第一册)
19-20高一·全国·课后作业
7 . 给出下面三个推导过程:
①∵a,b为正实数,∴
+
≥2
=2;
②∵a∈R,a≠0,∴
+a≥
=4;
③∵x,y∈R,xy<0,∴
+
=-
≤-2
=-2.
其中正确的推导过程为________ .
①∵a,b为正实数,∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78612275477d536aa7852cfd0affa2e8.png)
②∵a∈R,a≠0,∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541e2b075f78708474aa42d88bf47dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b7065816dee39543516949544cfc26.png)
③∵x,y∈R,xy<0,∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7bf9200b351a259ddfc6c0266129d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/916bb2cc1b29574ff95b47567c59ee0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20964753f5917fa2b6e52ce6b1b403de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2038aad219ab18479d4b1e9830618110.png)
其中正确的推导过程为
您最近一年使用:0次
8 . 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
解题方法
9 . 已知
,则
与
的大小关系是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b80dc1048e670f72c0c9fc7b10203a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2820e6e888da175da63fb59e0990c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454f2f01ef64932b75114500a50ba0f4.png)
您最近一年使用:0次
10 . 设
,则
,
,
,
,
,
按从小到大顺序排列是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.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/78d7009d4cbe7157d63ce50444443716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f89a8b5cf6996a6455375e405bfb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b4dda7369edf57a39cfad583031328a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc8b26fb79c1f4d36130c41b18c0f9c.png)
您最近一年使用:0次