名校
解题方法
1 . (1)已知实数
求证:
.
(2)已知
为正实数,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34c590f48c84fe471d1af522c343c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a737185eb85ca24cf66409ce1e09bc.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c9aa0cdd8a026d28ec2aa02c89db94.png)
您最近一年使用:0次
2021-08-17更新
|
518次组卷
|
2卷引用:陕西省咸阳市实验中学2020-2021学年高二下学期第一次月考理科数学试题
名校
解题方法
2 . 已知
,
,
.
(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/c6c5684e450e84751964555a8219b239.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095b82ba973150118a0689f63e17dd42.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a004c5040ed7b8304af2c222260d721.png)
您最近一年使用:0次
2021-08-14更新
|
569次组卷
|
4卷引用:河南省洛阳市孟津县第一高级中学2021届高三下学期4月理科数学调研试题
名校
3 . 用综合法证明:
(
,
,
均为正实数);
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef3052cd1be7641eb559c5d7ed142cb.png)
![](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)
您最近一年使用:0次
名校
解题方法
4 . (1)已知
都是正实数,求证:
;
(2)已知
,若
是
与
的等比中项,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91aa9983962738759b93a805e444277f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0d094321f9ea891dc0b9694732b3238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ef024c58becb626b823dfd3ee99c1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec9a109b4ff41dc4d7716fa776f450f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2129e8ec4f374ae282fb9785461a64c7.png)
您最近一年使用:0次
5 . (1)设
,证明
;
(2)求满足方程
的实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66c849afe76cc3bd8b4045ed986f124.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0f1248fbd3119f758a685f16585c81.png)
(2)求满足方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94e36f1a7276c157193e7a0a4909851.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
您最近一年使用:0次
2021-07-01更新
|
566次组卷
|
7卷引用:湖南省衡阳市祁东县育贤中学2022-2023学年高一上学期第一次月考数学试题
湖南省衡阳市祁东县育贤中学2022-2023学年高一上学期第一次月考数学试题“陕西名校”2021届高三5月检测数学(理)试题陕西省名校2021届高三下学期5月检测文科数学试题(已下线)2.2 基本不等式(备作业)-【【上好课】2021-2022学年高一数学同步备课系列(人教A版2019必修第一册)宁夏中卫市2022届高三第一次模拟数学(文)试题宁夏中卫市2022届高三第一次模拟数学(理)试题(已下线)第2课时 课中 基本不等式的证明(完成)
名校
解题方法
6 . 在平面直角坐标系
中,函数
的图象过点
,且在点P处的切线
恰好与直线
垂直.
(1)求函数
的最大值;
(2)若正数
,
,
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7455cd7a24b4985e0779efc79b5d11bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62648bbd5919a180a059169c3fea98e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/676b05d4baad4148c4fb3b052f32d065.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b85cbf4d2253bd4077cfb4886751e0.png)
(2)若正数
![](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/2193edd12ed74d977e2edb6f3c7f3058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972a76452271b2bb0ec10a450a86607f.png)
您最近一年使用:0次
2021-05-28更新
|
218次组卷
|
3卷引用:西南名校联盟2021届高三下学期4月高考适应性考试数学(理)试题
解题方法
7 . 已知
,
为正数,函数
的值域为
.
(1)若
,证明:
;
(2)若
,证明:
.
![](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/27579696871a3abf8d0f90d4241640e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7908fb46b316b94631dd94bdb3b672f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239ea0e903fbb4c8ce04133b9969578c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b0e403c5f00d0357d3fa30d6c2717c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1ef525e9037c245c964d0ce6f56b98.png)
您最近一年使用:0次
2021-05-21更新
|
218次组卷
|
2卷引用:百校联考五月2021届普通高中教育教学质量监测考试全国1卷文科数学试题
名校
解题方法
8 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d237d500171f88c8bd534575d6d3e96c.png)
(1)若方程
无实根,求实数
的取值范围;
(2)记
的最小值为
.若
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d237d500171f88c8bd534575d6d3e96c.png)
(1)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06261418420d73c5e810afe49595b333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f1bcc98801e9d299333aec4aa068b4.png)
您最近一年使用:0次
2021-05-21更新
|
455次组卷
|
6卷引用:西藏自治区拉萨中学2020-2021学年高二下学期第六次月考数学(文)试题
西藏自治区拉萨中学2020-2021学年高二下学期第六次月考数学(文)试题四川省凉山州2021届高三三模数学(文)试题四川省凉山州2021届高三三模数学(理)试题(已下线)专题04 函数(2)-备战2022年高考数学(文)母题题源解密(全国乙卷)(已下线)5.2 函数的表示方法(1)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)甘肃省高台县第一中学2022届高三下学期第七次检测数学(文)试题
解题方法
9 . 已知函数
.
(1)求不等式
的解集;
(2)记
的最大值为
,若
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8737c59b71a4a9911b28e0ef614d4ed0.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51035f9b1a84d36570e1eefa1386a6a.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b91939912f838a19edf5da04ca32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029da2067b3564cee13879e402a89a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25afca8e8f606de6e5d60d420303bf22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5379e73723fd6a9bff3b9ecacbdb41.png)
您最近一年使用:0次
2021-04-24更新
|
595次组卷
|
3卷引用:全国卷地区(老高考)2021届高三下学期4月冲刺联考文科数学试题
名校
解题方法
10 . (1)如果a,b都是正数,且
,求证:
;
(2)设
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60251b3053d6f0ea0d99f7ed4322e210.png)
(2)设
![](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/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad177a4e45bcd764188e93670d4c1269.png)
您最近一年使用:0次