解题方法
1 . 已知
.
(1)若
,求证:
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75807858b7804a1ad2039c41f323a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288420f0b137ec90d963e6b5db65fe30.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753bc7b46730ab08df9ee4488ce34986.png)
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解题方法
2 . 设不等式
的解集为
.
(1)求证:
;
(2)试比较
与
的大小,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d5cab03c293e2c2b56e7be1bda567b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bca6fb9e5e25c0fcac557b7ea8e769e.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebca3befdfa438ae6d4946cc66056af9.png)
(2)试比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f2a8ea6c69b9133d29a4c9060e98f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ab32d054ab39addb162a79bc872a6c.png)
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2023-01-18更新
|
83次组卷
|
2卷引用:贵州省铜仁市2023届高三上学期期末质量监测数学(文)试题
名校
解题方法
3 . 已知函数
.
(1)求不等式
的解集;
(2)若
且满足
,记
是
的最大值,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c2e033105f17e4ea375d28464413ab.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99f6241f03f76761403af0c53d3a0f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c457d9c7bbd4fb8d54c032565a2667b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fa1634d00a91a067feb12dcf03d633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/073aaf052fc8858629986a9dad40ff88.png)
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2023-04-04更新
|
391次组卷
|
3卷引用:宁夏银川市2023届高三教学质量检测数学(文)试题
名校
解题方法
4 . (1)比较
与
的大小;
(2)已知b克糖水中含有a克糖
,再添加m克糖
,并假设全部溶解),糖水变甜了.请将这一事实表示为一个不等式,并证明这个不等式成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98d0c8e5ef195aed995d2ec98f81de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5052740a860a566c8d69252a9adb368.png)
(2)已知b克糖水中含有a克糖
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc46a72bb9d2bff2372571b3d27c838.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a3a82d6b1b6ed16c30367f038c16bc.png)
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2023-10-11更新
|
96次组卷
|
2卷引用:河南省郑州市第四高级中学2023-2024学年高一上学期第一次调考考试数学试题
名校
解题方法
5 . 已知a,b均为正实数.
(1)证明:
;
(2)若
的两条直角边分别为a,b,斜边
,求
周长
的最大值.
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb2e31608320e989afeeed9a7a8482d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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6 . 已知:
,
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffeb453e2d9050f1c77dddb4a611edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce53c6c21fd2348921e54b8d507542f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee550f6bc2f3090687fa6436228135c.png)
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2023高三·全国·专题练习
解题方法
7 . 正数
满足
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cb8160f60ea06bf2cdef63accf3f74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3233c4337508bcdfc20e795aee63614.png)
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8 . 已知
.
(1)求证:
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680d9e974bc609c62d5e844222ea67a3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54d8bf9316bb1dfb0559333ce56b35a6.png)
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2022-10-03更新
|
521次组卷
|
4卷引用:广东省东莞市海德实验学校(华附)2022-2023学年高一上学期第一次月考数学试题
9 . 已知正实数
、
、
、
.
(1)证明:
,并确定取等条件.
(2)证明:
,并确定取等条件.
![](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)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4412956c389f11bc0552df20ae481bbc.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443ee9ff09e42d3f9feee049abdee5bc.png)
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2023-08-25更新
|
129次组卷
|
2卷引用:四川省成都市第七中学(高新校区)2024届高三上学期入学考试数学(理科)试题
名校
解题方法
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c346f985091b21335795988d0ad7b848.png)
(1)求不等式
的解集
;
(2)若
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c346f985091b21335795988d0ad7b848.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27dd329517f0dd8f1d0dfade6138ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dab92728b35ed5798e07a2b0095bfcc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e41a1e26ba035e82121c09702cc24.png)
您最近一年使用:0次