名校
解题方法
1 . (1)已知
,且
,求证,
.
(2)若
,求证:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a0aa068c979c53361d049ce49987a8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353a0504082335c98b71653317beabbe.png)
您最近一年使用:0次
名校
2 . 已知
.
(1)求证:
,当且仅当
时等号成立;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a964f66da41b8153cfcc6e3f826251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a989c4fbf0ff34cedb365d2dda47f16.png)
您最近一年使用:0次
解题方法
3 . 已知
,
,且
.
(1)求
的最小值;
(2)证明:
.
![](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)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054d00a127a585f7401a05d5351c6e37.png)
您最近一年使用:0次
2023-04-30更新
|
1813次组卷
|
9卷引用:四川省资阳市2023届高考适应性考试数学(理科)试题
四川省资阳市2023届高考适应性考试数学(理科)试题四川省资阳市2023届高考适应性考试数学(文科)试题贵州省2023届高三下学期联合考试数学(理)试题(已下线)2.2 基本不等式(精练)-《一隅三反》(已下线)高一上学期第一次月考十五大题型归纳(拔尖篇)-举一反三系列(已下线)高一上学期第一次月考解答题压轴题50题专练-举一反三系列(已下线)模块一 专题2 一元二次函数、方程和不等式1(人教A)(已下线)期中考前必刷卷01-期中考点大串讲(苏教版2019必修第一册)(已下线)第二章 一元二次函数、方程和不等式单元测试基础卷-人教A版(2019)必修第一册
2023·全国·模拟预测
4 . 已知正数
,
,
满足
,证明:
(1)
.
(2)
.
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd9e365eec43d1200ee1d5a0b559ee3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c79bb1871fa70b9796f41dacde13bd0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e644b5ea232a501c2ee7c1b4e2d41d19.png)
您最近一年使用:0次
2023·全国·模拟预测
5 . 已知x,y,
.
(1)若
,证明:
;
(2)若
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588e4cf838add469512e328d2e60916b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fb952f9a33887a3f80b04e1e5e6134.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd24c686fbaaa68705d654b880481ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeadd667059ca5e53125d3c0cda85bae.png)
您最近一年使用:0次
名校
解题方法
6 . 已知
,
,且
.
(1)求证:
;
(2)求证:
.
![](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)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df19a079bdfb01e739010651a4d85ba1.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153cad285f03d4ca92fd5b421b14f0bb.png)
您最近一年使用:0次
7 . 已知
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b804002ee3d72ff947cfc8426f90047c.png)
您最近一年使用:0次
2023-10-07更新
|
254次组卷
|
3卷引用:北师大版(2019)必修第一册课本习题第一章3.2 基本不等式
名校
8 . (1)已知
,求
的取值范围;
(2)设a,b,c均为正数,且
,证明:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afba78f1ed058a450f2f74665ad7b150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
(2)设a,b,c均为正数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d689b0da0bd4803b3e8a6c69542ae466.png)
您最近一年使用:0次
解题方法
9 . (1)已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
且
,求
的最小值.
(2)已知
,
,且
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c915b4ce31fabfd4703c547291ad9277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86db1ff1b996e33de049889c04bf9a0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd31dc2d0967db352574381d66d33fc0.png)
(2)已知
![](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/054d00a127a585f7401a05d5351c6e37.png)
您最近一年使用:0次
10 . 对任意三个正实数
,
,
,求证:
,当且仅当
时等号成立.
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef3052cd1be7641eb559c5d7ed142cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44acc0ee22dc4b7750e8be825e7c1355.png)
您最近一年使用:0次