名校
解题方法
1 . 已知函数
.
(1)求不等式
的解集;
(2)设函数
的最小值为
,若
且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113eff4fc6357344d826ff081714339d.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd517c952785f1b4a87a0ff47260e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711d33dca588abbd3e2bead7ec99a384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576e3d63873b53cc17f79139e674308b.png)
您最近一年使用:0次
2024-02-05更新
|
844次组卷
|
7卷引用:四川省成都市第七中学2024届高三下学期入学考试数学(文)试题
解题方法
2 . 已知函数
,若
的解集为
.
(1)求实数
,
的值;
(2)已知
,
均为正数,且满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92c49f13580cc5f99f989fb043d6c519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587ff6c8fe5fd0c0a386b272d73ec3c0.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc9ef86c23546724817603467ae6657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d39f7c0d0be8313dadd7435e449833.png)
您最近一年使用:0次
2023-04-24更新
|
669次组卷
|
7卷引用:四川省邻水县九龙中学2022-2023学年高三下学期开学入学考试理科数学试题
四川省邻水县九龙中学2022-2023学年高三下学期开学入学考试理科数学试题四川省绵阳市2023届高三上学期第二次诊断性测试理科数学试题四川省绵阳市2023届高三第二次诊断性考试数学(文)试题内蒙古赤峰市2023届高三下学期二模数学试题(文)(已下线)专题21不等式选讲(已下线)第04讲 基本不等式及其应用(十大题型)(讲义)(已下线)FHgkyldyjsx01
名校
解题方法
3 . 已知函数
,
.
(1)求函数
的最小值;
(2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a483b28b0a51697e711e832a5ca3d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bc6775d59e23a45d1c4357d5ffe228.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcc567b95a320abcb25509923cd001.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76acc9d0f0f0f6befbb9d9a64c497d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef791a5215dfbde16dea9499dda72a53.png)
您最近一年使用:0次
2023-07-27更新
|
302次组卷
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8卷引用:四川省成都市树德中学2023-2024学年高三上学期开学考试文科数学试题
4 . 已知
,
,
均为正实数,且
.
(1)若
,求证:
;
(2)若
,求
的取值范围.
![](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/fb9c07f0aab98148ab7c89c5d5310f99.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a5afb897a717ebe8fbf56646443187.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa0a4c452d23e359c7726a1040dbfbf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-04-23更新
|
534次组卷
|
3卷引用:四川省成都市川大附中新城分校2024届高三下学期开学考试数学(理)试题
5 . 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
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
(1)求不等式
的解集;
(2)若函数
的最小值为m,且正数a,b,c满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c4e334b99b21af5a068a1e63a07d85.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8da83effa5528058c00457626a6cef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0d9f33012c8ebd91f2d6941af2d824.png)
您最近一年使用:0次
2023-05-13更新
|
411次组卷
|
6卷引用:四川省泸县第一中学2023-2024学年高三上学期开学考试数学(文)试题
名校
7 . 已知函数
,且不等式
的解集为
.
(1)求实数
的值;
(2)若正实数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f801537b719b259b82a01eb4eb6f63d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0abe4960954bb3144b7e86d4233e747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6ad85072c47fbb57fb296d4096322c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(2)若正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3539640e5344567a1071b64751cecc8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0edcfb51711d1e003a869e03be35942f.png)
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2023-05-09更新
|
859次组卷
|
6卷引用:四川省兴文第二中学校2023-2024学年高三上学期开学考试理科数学试题
解题方法
8 . 已知函数
,且
的解集为
.
(1)求实数
的值;
(2)若
,
,
均为正实数,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde1dea37caf89349030ba60c07e45a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c996a4c596f4a613b32563626855a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/7e3b1b0f1e74c4ee0dc06a17f74ba33f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c419e58afbcf14aa1fb067a09d2ff36.png)
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2023-01-02更新
|
251次组卷
|
3卷引用:四川省眉山市东坡区眉山北外附属东坡外国语学校2023-2024学年高三上学期开学数学试题
名校
9 . 已知函数
.
(1)求
的最大值
;
(2)若正数
满足
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d04f9f572dca66e7b6a0d202715088.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baee1cd96671f2b41453cd8bee3aad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9152abbb96175b6d0e48320baabc227.png)
您最近一年使用:0次
2023-01-05更新
|
659次组卷
|
5卷引用:四川省成都市第七中学2022-2023学年高三下学期入学考试数学(文)试题
四川省成都市第七中学2022-2023学年高三下学期入学考试数学(文)试题四川省成都市第七中学2022-2023学年高三下学期入学考试数学(理)试题四川省乐山市高中2023届高三第一次调查研究考试文科数学试题四川省乐山市2023届高三第一次调查研究考试理科数学试题(已下线)四川省乐山市2023届高三第一次调查研究考试数学(理)试题
名校
解题方法
10 . 已知
的最小值为
.
(1)求不等式
的解集;
(2)若
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3935f4aa68719ebc23a95e9644edb4c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a9f7884d2a1a1f304d8d468d8dd47c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7afd61dee6da044110ae429ece45d6d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9865fe88f7360f667ff46ad2f09662de.png)
您最近一年使用:0次
2022-08-31更新
|
236次组卷
|
2卷引用:四川省绵阳市南山中学2022-2023学年高三上学期入学考试数学(文)试题