1 . 求出所有满足下面要求的不小于1的实数
:对任意
,
,总存在
,
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5fc4f943500e83c750e21358565646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28fac5381244316cc0dfad6a7376cb70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49fe573a4cc4c26f5392b302e862e59f.png)
您最近一年使用:0次
2023高三·全国·专题练习
2 . 若
为两两不同的正整数,则
.(11)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304e71a623c4412188a800046a970d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b55bd09a34e81fa7ed26c472479c5f34.png)
您最近一年使用:0次
2023高三·全国·专题练习
3 . 设
,则对任意
有
.(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efba990f1fca3fe00fb5e0a7fff0bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ead5847b8f4ecc4f39f43e4e692bf3.png)
您最近一年使用:0次
4 . 设n是一个大于等于3的正整数,当n满足什么条件时,对任意实数
总成立:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12561dc4dfb81301bafb1ca6e157e2da.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e053f60d2756b7d952f4fd3d547c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12561dc4dfb81301bafb1ca6e157e2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88855926226c82896cbe8ae9fd50d670.png)
您最近一年使用:0次
5 . 对
,记
,
.则
、
的大小关系为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2584d4e78881413d8ddd1ec84011db2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4242790dad0e0e25c5873aad8c7a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a46fa5894432359268a004187ccdf0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
A.![]() | B.![]() |
C.![]() | D.不能确定 |
您最近一年使用:0次
6 . 设实数a、b满足不等式
,则a、b的正、负符号分别为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24937e0611cc57adebb876cc0cbb3818.png)
您最近一年使用:0次
7 . 已知
,且
.证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cad706b53f732c20c8e4cb8dd9898ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71dd40d3df2762d6e6bdefcb5f397269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292d882c8443c8fee203f143a2f43ade.png)
您最近一年使用:0次
8 . 求最大实数
,使得对任意
阶简单图
,有不等式
,其中,
为图
的边数,
为图
中三角形的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8715a3f984d2627afd7c40c61347b7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d4e66afb5c0ed1a8235d26a9cadec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
您最近一年使用:0次
9 . 已知函数
满足
,且对任意
,
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29bf3139df7c2003054629799ef0a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe74c60ec52cca659e23bb9758e06907.png)
您最近一年使用:0次