名校
解题方法
1 . 设函数
.
(1)解不等式
;
(2)令
的最小值为
,正数
,
,
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44df34bc268e84d5e444d895eb9f9ec4.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671232844b3c59b20393361d7b18f0d4.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6f283b59df957b95bee4a502228421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95124eaa140829a224e33886b3608643.png)
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2022-11-14更新
|
633次组卷
|
7卷引用:四川省资阳市2022-2023学年高三上学期第一次诊断考试数学(理)试题
名校
2 . 已知函数
.
(1)求不等式
的解集;
(2)设函数
的最小值为
,正实数
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6536be62e96caf85e5bc68ec4870e2ac.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b781b577380833bf91d2b2f1169c50.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/b32864c7006dfd9ab929440a02a3728a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b458eeca05e45368e4f510d9eaef88d4.png)
您最近一年使用:0次
2022-03-25更新
|
1002次组卷
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6卷引用:安徽省安庆市2022届高三下学期二模理科数学试题
安徽省安庆市2022届高三下学期二模理科数学试题安徽省安庆市2022届高三下学期二模文科数学试题江西省南昌市第十中学2022届高三下学期高考仿真模拟考试(一)数学(文)试题江西省南昌市第十中学2022届高三下学期高考仿真模拟考试(一)数学(理)试题(已下线)文科数学-2022年高考押题预测卷03(全国乙卷)(已下线)理科数学-2022年高考押题预测卷02(全国乙卷)
名校
解题方法
3 . 已知不等式
的解集为
.
(1)求
,
的值;
(2)若
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1290af6e2caeea4ed5c6c2fa6574e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194d49965dad3d8a71a2edbf3ae4fdc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a62d8481c22c7b43ffe891ae5b30b089.png)
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2022-03-21更新
|
468次组卷
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3卷引用:九师联盟(山西省)2022届高三3月质量检测数学(文)试题
解题方法
4 . 已知函数
.
(1)求
的最小值;
(2)若
,
,
均为正数,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cac6528fcb5fd9f0a30e0adba4eb4ba.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](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/b10d4bb4de1943fac98225ae41eb0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4ff30786be3db0bc4fa907acc0f36f.png)
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2022-11-04更新
|
662次组卷
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3卷引用:第02讲 不等式选讲(练)
名校
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bb7f6d53708b3c7b2ec0b7bd9fae2e.png)
(1)求不等式
的解集;
(2)若正数a,b满足
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bb7f6d53708b3c7b2ec0b7bd9fae2e.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47edf34609434183ab607dd7604f45e1.png)
(2)若正数a,b满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd3b6980fa961e1b4dd50873f59d0f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c3c0fc0bb09a268ef74da3c5bf019d.png)
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2022-06-07更新
|
506次组卷
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3卷引用:贵阳第一中学2022届5月高三高考适应性月考卷(八)数学(文)试题
名校
解题方法
6 . 设函数
.
(1)若
,求
的取值范围;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe225b62d681aad64da65c3be1b9c78.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce614ba8bc02ceab92a975b0dcb30f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73f4e698e9c8e5956f899718194535b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca7d5b6e9dd3647be9926bae00a74a7.png)
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2022-03-11更新
|
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3卷引用:中学生标准学术能力诊断性测试2022届高三3月测试数学理科试题
名校
7 . 已知
.求证:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d9d74e70c66512c672afb3fc2724b5a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627be93cfaae854ee37fffc5b83f9512.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6168e9a6260312a79dc800370321b2fb.png)
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2022-05-19更新
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4卷引用:四川省大数据精准教学联盟2021-2022学年高三下学期第二次统一监测数学(文)试题
名校
解题方法
8 . 已知函数
.
(1)求不等式
的解集;
(2)设m,
,且
,求证:
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a3071d832011515154a5aa139a019c.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76693f7ef9a4dca9c649153b6d7196e4.png)
(2)设m,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b72601bad890fec5d4368ff4c084c390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ad5cfb7effa1c06226413e2bc49d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cbf877e792348cefb45a89279b0cdf8.png)
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2022-05-07更新
|
171次组卷
|
8卷引用:1号卷·A10联盟2022届高三下学期开年考文科数学试卷
1号卷·A10联盟2022届高三下学期开年考文科数学试卷安徽省A10联盟2022届高三下学期开年考理科数学试题(已下线)解密24不等式选讲(讲义)-【高频考点解密】2022年高考数学(理)二轮复习讲义+分层训练(全国通用)陕西省西安市阎高蓝周临鄠六区2022届高三下学期三模文科数学试题陕西省西安市阎高蓝周临鄠六区2022届高三下学期三模理科数学试题(已下线)押全国卷(理科)第23题 不等式选讲-备战2022年高考数学(理)临考题号押题(全国卷)(已下线)文科数学-2022年高考考前20天终极冲刺攻略(四)(6月4日)1号卷·A10联盟2022届高三下学期开年考理科数学试卷
解题方法
9 . 已知
,
,
是不全相等的正实数,且有
.
(1)求证:
;
(2)求证:
.
![](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/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c2a362b51ffc3fdc60a15a394eeb98.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74a57a6ab6c2348a1ac75b419a90e8f0.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f6e8813c633ccb1a7a9c69f4de0ea0d.png)
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2022-05-03更新
|
445次组卷
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4卷引用:2022年普通高等学校招生全国统一考试理科数学(白卷)试题
名校
解题方法
10 . 已知a,b,c均为正数,且
,证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de51c58cf8ae8b3f1446f5b6959e6f4a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27917a8c14ac82876635bc18e5e284c7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bde4221c5b777ad8dd203fc07fbe4f.png)
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2022-09-09更新
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7卷引用:甘肃省白银市靖远县2022-2023学年高三上学期开学考试数学(理)试题