名校
1 . 已知
,且
.
(1)求
的最小值m;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a521891098b625f372ff648d110afe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a78be779a807b53897bfeea6c8e4a1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa629b250bb3e84a30472721dd687dd5.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72544819df06031b061214aa0ebd3071.png)
您最近一年使用:0次
7日内更新
|
25次组卷
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2卷引用:四川省成都市第七中学2024届高三下学期热身考试数学(文)试卷
解题方法
2 . 若a,b均为正实数,且满足
.
(1)求
的最大值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89dc8118d95d6c7bd5b7d38667a498e8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbcb79c362bddb898f8a9d02a5f5d085.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd9ff4f42b949e370af7b5be296a7ab.png)
您最近一年使用:0次
2024-06-08更新
|
330次组卷
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3卷引用:四川省南充市2024届高三高考适应性考试(三诊)文科数学试题
解题方法
3 . 已知
.
(1)若
,解不等式
;
(2)当
时,
的最小值为3,若正数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e059e3b254a2129aa62fa3821fa94069.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b4d04800acca6ef5a8696befee0ece.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b69ab168ebbbce33f176a1340882326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404a00bf430f0f1a0fadc3130b79cb23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7665f6fc755673a94df20bb66c694013.png)
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2024-06-04更新
|
146次组卷
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2卷引用:四川省雅安市2023-2024学年高三三诊数学(理)试题
4 . 已知函数
.
(1)求不等式
的解集;
(2)当
时,函数
的最小值为
,若非零实数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7a09fc86d06866679cf7a8a8b733a2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9475044a3907a6bd59aefef9ca343f14.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0db2c49919467a2e14540f2aabd05cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff40d4bcb74a02cad20299244b5f2eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567567c185f2351b5e5c584ecae8c231.png)
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2024高三·全国·专题练习
名校
5 . 已知实数a,b,c满足
.
(1)若
,求证:
;
(2)若a,b,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c25863514e359f6c6feabfd1477c815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28512b04591f079d997d4e675394585.png)
(2)若a,b,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829bdd79ab193cdd707c537b72f19251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a5b6a23f530bddc0b3b4ea826df429.png)
您最近一年使用:0次
6 . 已知函数
的最小值为
.
(1)求实数
的值;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/490f8c54abb2977273a00bbffea968c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e2f130a5926339b74ce2052f097103.png)
您最近一年使用:0次
名校
解题方法
7 . 已知
均为正实数,且满足
.
(1)求
的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385a639c53a7a1168e703621f0bc7a71.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8581efe011a9daffa9d3e48a3814ab.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb547e76f38d767adfb5125f4b56d82e.png)
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2024-05-08更新
|
566次组卷
|
3卷引用:四川省百师联盟2024届高三冲刺卷(五)全国卷理科数学试题
解题方法
8 . 已知函数
,且
的最小值为
.
(1)求
的值;
(2)若
为正数,且满足
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbef3caed2dfc0acbd7ecfab73e4d7d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e6d49738325344bcc6b2015189e194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0be51ec8263c3289ded555b8017c00.png)
您最近一年使用:0次
名校
9 . 已知函数
,m为
的最小值.
(1)求m的植,
(2)已知实数n,p,q满足
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63502808190adaeb97a37a0f4eee1d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求m的植,
(2)已知实数n,p,q满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b2400d72b1e3145cb21ba719d8a968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3ac83c571110d41a396d12d8eea1c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6526e19f5af4425fa017e3d38c42116d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235953c833fc96e4ce88e17051aef93c.png)
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2024-04-24更新
|
189次组卷
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2卷引用:四川省绵阳市三台中学校2024届高三下学期三诊模拟考试(第三学月月考)文科数学试题
名校
10 . 已知函数
.
(1)求
的最小值;
(2)若
的最小值为
,正实数a,b,c满足
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35e5c2939fb6320230190d5dc472120.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edbab9eb75db03784bd3b20a4226884b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218f1a94f2cfd0871fda90b064a2c9d9.png)
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2024-04-12更新
|
179次组卷
|
4卷引用:四川省成都市石室中学2024届高三下学期高考适应性考试(二)理科数学试卷