名校
解题方法
1 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
(1)若
,求
的取值范围.
(2)求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6320fbdc13c4ab88cf8f577cce4001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
(2)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a161e6055e5f6a69f711792663f7a8b9.png)
您最近一年使用:0次
解题方法
2 . 已知函数
,不等式
的解集为
.
(1)求实数
,
的值;
(2)若
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbea50b9ee9088ba9c3b474a893fc52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb7357601b8a0ef7a5e1abdef575e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5c82508515eb3a880358346ea7fcae.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3de5d5e301c318bea271ae99e9b6b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb040e4be56b314424d05cd22e437b14.png)
您最近一年使用:0次
2020-04-24更新
|
294次组卷
|
2卷引用:2020届甘肃省第一次高考诊断考试理科数学试题
3 . 已知
都是正数,求证:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbefc06b3b4e54a6a1690e870efc69b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2298ce02fb0d122e2b23438a63c4c820.png)
您最近一年使用:0次
名校
解题方法
4 . (1)已知
、
、
、
是正实数,求证:
,当且仅当
时等号成立;
(2)求
的最小值,并指出取最小值时
的值.
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29574517e0bd98aa055ee15120f8fff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbd4e25575245b5688f4b6e395fcd1c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef9fd14d59c0e078198c430fb6e8bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
5 . 已知
均为正数,
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2edfccf9159bb4010669e938f788149b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23146d143206d5356c688f99f513321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b9e3a68f7e0c78d37f3ac4d118e515e.png)
您最近一年使用:0次
解题方法
6 . 已知
,
,
.
若
,求证:
;
若
,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/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4d684b78f6e4a759f11bc25f7c9a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876c4544446608ec7250944fa091d51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a57e060f61f7efa54982bda67db483a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2219d312e275702451d6323cd3e7ac67.png)
您最近一年使用:0次
2020-05-16更新
|
505次组卷
|
2卷引用:广西壮族自治区桂平市第五中学2019-2020学年高三下学期联考数学(文)试题
7 . 已知正数
、
、
、
满足
,求证:
.
![](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/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c24d290788325d4baadf87ae878c6f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb2509ea4050de93e3ae5ca11adf980.png)
您最近一年使用:0次
名校
8 . 已知函数
,
.
(1)求
的最大值m;
(2)若
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a7809ee1fb390e90806aba2ad66453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd4d30083446e8a24e22c97e05acb2d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](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/22d7b3f8b5cdb3eb7aa97ba47372274e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018c0732e522086f2958f146914b93d0.png)
您最近一年使用:0次
2020-05-06更新
|
235次组卷
|
3卷引用:湖南省名校2018-2019学年高二下学期期末联考数学(文)试题
9 . 已知
、
、
均为正实数,求证:
.
![](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/93efa3e1b9b9ece092b3e13e6e571724.png)
您最近一年使用:0次
2019-11-04更新
|
369次组卷
|
6卷引用:人教A版(2019) 必修第一册 突围者 第二章 第二节 基本不等式
人教A版(2019) 必修第一册 突围者 第二章 第二节 基本不等式(已下线)第10讲 平均值不等式及其应用-【A+课堂】2021-2022学年高一数学同步精讲精练(沪教版2020必修第一册)湘教版(2019) 必修第一册 突围者 第2章 第一节 课时2 基本不等式北师大版(2019) 必修第一册 突围者 第一章 第三节 课时2 基本不等式苏教版(2019) 必修第一册 过关检测 第3章 第3.2节综合把关练2023版 湘教版(2019) 必修第一册 突围者 第2章 第一节 课时2 基本不等式
解题方法
10 . 已知存在
,使得
,
.
(1)求
的取值范围;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799b324b514d6044672c133d8fef2dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead0fd16b61be43dce5f4f387ef38b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c270c7508ec18bfae26af47763aab7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d57f06fe39039e0be9d27ce28b1b35.png)
您最近一年使用:0次
2020-03-18更新
|
264次组卷
|
2卷引用:2019届天一大联考海南省高中毕业生班阶段性测试(三)文科数学试题