名校
解题方法
1 . 完成下列不等式的证明:
(1)对任意的正实数
,
,
,证明:
;
(2)设
,
,
为正实数,且
,证明:
.
(1)对任意的正实数
![](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/7eefb6ab060d0a77a4e5f5659315000d.png)
(2)设
![](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/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3271651d8894a4b7413b402f9723975.png)
您最近一年使用:0次
名校
解题方法
2 . 比较大小:
(1)比较
与
的大小.
(2)比较
与
的大小.
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314edfbaea8a095e931328cdcb6aa239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cccb978fda28dd472f178d40affc74f.png)
(2)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f89a8b5cf6996a6455375e405bfb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc8b26fb79c1f4d36130c41b18c0f9c.png)
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3 . 已知
、
是正实数,且
,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/89dc8118d95d6c7bd5b7d38667a498e8.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485a2d99320384a0857b00ce9ab9e990.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16195724ab65f5ed0f378a14051ff5bd.png)
您最近一年使用:0次
2022-12-15更新
|
210次组卷
|
3卷引用:黑龙江省绥化市绥棱县2022-2023学年高一上学期期中数学试题
黑龙江省绥化市绥棱县2022-2023学年高一上学期期中数学试题(已下线)3.2 基本不等式(1)-【帮课堂】(苏教版2019必修第一册)湖北省鄂东南三校联考2022-2023学年高一上学期阶段(一)考试数学试题
名校
解题方法
4 . (1)已知
求证:
;
(2)
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de3f7da4088c7a6d0ecb32bb1dff53d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c184edd63472d8ddf96e5f815515d929.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf09e9380f9c9c849810e7bedcffadb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a57e060f61f7efa54982bda67db483a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f9a67d0c6387f646e9041cc37ef63d.png)
您最近一年使用:0次
名校
解题方法
5 . 在
中,设角
的对边分别为
,且
.
(1)求
;
(2)求角
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bf37d990c62296424515b236a5ba17.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413323ab92f73c1eabb235731bb5c399.png)
(2)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2022-11-30更新
|
1037次组卷
|
2卷引用:黑龙江省哈尔滨市第三中学校2022-2023学年高三上学期阶段性测试(三)数学试题
解题方法
6 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/eb4dd625-41cd-4bf5-bb5e-93abcac177b4.png?resizew=242)
(1)画出函数
的图象;并写出函数
的单调递增区间;
(2)若函数
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5397ee1eb6d157f6ec1e7a878f8d16e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/eb4dd625-41cd-4bf5-bb5e-93abcac177b4.png?resizew=242)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6bc6bf086ae0da5fbbde88c93d0dee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6bc6bf086ae0da5fbbde88c93d0dee.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ff4d56c79c360c3370e9d4f0d12049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6d54db7da7b92caa3df21e53243a72.png)
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名校
解题方法
7 . 已知正实数
、
满足
.
(1)求
的最大值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fdeba282b028321696be7f90f2cbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/723bd39f26f0a0b580d4d99ad32cc2fc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bcbeeadd42a6c39144187d646f7495.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,
,函数
,其中
.已知
.
(1)求使得
成立的
的取值范围;
(2)求
在区间
上的最大值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0746d69d4aaf967789b9676493686f99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b12c7541a1b5685107c2d9a80ff671b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a5ed61ee16595684717cf82790984a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0008efecf88c9953680b09e691e3899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc637e98619796474a9afa96effd96b0.png)
(1)求使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1275f567f4313471df4daad443743f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd52ef062e1934be348f2309946b1f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5dc99a0493caf8b65827518c965e8a.png)
您最近一年使用:0次
名校
9 . (1)已知a,b,c,d均为正数.求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8280bdbac2fa4e050c6ac329f30446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc895418d69228e6ab8f6387007f7cc.png)
(2)已知
.求证:
<
的充要条件为x>y
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8280bdbac2fa4e050c6ac329f30446.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc895418d69228e6ab8f6387007f7cc.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/addb5619e7d6c00ba2bd2e706dd827e7.png)
您最近一年使用:0次
2022-04-03更新
|
375次组卷
|
3卷引用:黑龙江省绥化市肇东市第四中学校2023-2024学年高一上学期期中数学试题
黑龙江省绥化市肇东市第四中学校2023-2024学年高一上学期期中数学试题湖南省衡阳市田家炳实验中学2021-2022学年高一上学期9月月考数学试题(已下线)专题16 基本不等式-2022年暑假初三升高一数学衔接知识自学讲义(人教A版2019)
名校
解题方法
10 . 已知
都是正数,求证:
(1)
;
(2)若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e3f44ad4a0c852cf327be522a6a5fb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734e89512f4ff17b36293ea0675a9ca8.png)
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2022-02-08更新
|
475次组卷
|
3卷引用:黑龙江哈尔滨市第一二二中学2022届高三第三次模拟考试文科数学试题
黑龙江哈尔滨市第一二二中学2022届高三第三次模拟考试文科数学试题安徽省六安市第一中学2021-2022学年高三上学期第四次月考理科数学试题(已下线)解密24 不等式选讲(分层训练)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(全国通用)