名校
解题方法
1 . (1)已知
,
,
都是正实数,求证:
;
(2)解不等式
.
![](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/2ef3052cd1be7641eb559c5d7ed142cb.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03de29aa0824cf2d903e07e9b8e1b09a.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.
(1)求不等式
的解集;
(2)若函数
的最小值为
,且
(
,
).求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85b50630b1a608365c1ae64f9d08d16.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ec4add31dd4c2d48aadbb7bd13e607.png)
(2)若函数
![](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/ab04de6651256f6281e9f4c1dc3c7955.png)
![](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/b75743cce419484fc8b59ec5008930b7.png)
您最近一年使用:0次
2023-11-26更新
|
272次组卷
|
4卷引用:内蒙古鄂尔多斯市西四旗2024届高三上学期期末综合模拟数学(文)试题
解题方法
3 . 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:内蒙古赤峰市2023届高三下学期二模数学试题(文)
内蒙古赤峰市2023届高三下学期二模数学试题(文)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(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
4 . 已知函数.
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b8c7e9bf5f5e050fffb1769c83f0a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402dee607d363b05df414b53c5f541b7.png)
您最近一年使用:0次
2023-11-03更新
|
544次组卷
|
6卷引用:内蒙古蒙东七校2024届高三上学期11月联考数学(文)试题
解题方法
5 . 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/632244ea6931507f8656e1cc3437d392.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc9ef86c23546724817603467ae6657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6b856233d93d2709817f3cb9873b1f.png)
您最近一年使用:0次
6 . 已知函数
.
(1)解不等式:
;
(2)设
均大于0,若
的最大值为
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ded01c2e6cc1ffbeb11c1a078341a46.png)
(1)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ec18aa8ab6f4a4e70722e4df77c9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989680e6b74504b71f5ece8771c5301d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f9a67d0c6387f646e9041cc37ef63d.png)
您最近一年使用:0次
2023-03-14更新
|
84次组卷
|
2卷引用:内蒙古巴彦淖尔市衡越实验中学2022-2023学年高二下学期第二次学业诊断理科数学试题
名校
解题方法
7 . 设函数
.
(1)当
时,求不等式
的解集;
(2)已知
,
,
的最小值为2,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2020c0c2aff140c454f1c4cb11045ab3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668c8ab5abdba7173bcbe573ae87dad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062844ed8f0949e6717bb6fd0b84fe46.png)
(2)已知
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287ec0b767f34d0ef9c3d0e676ed6a1c.png)
您最近一年使用:0次
2022-12-29更新
|
145次组卷
|
2卷引用:内蒙古自治区通辽市开鲁县第一中学2022-2023学年高二上学期期末数学试题
名校
解题方法
8 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)当
时,若函数
的图象恒在
图象的上方,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44ed4f2cfcb6975cdf05930a813f4c3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b095c3b3d32619c3e0c581f79cd8f48e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daadfc8469fb7fda0a84ffc387abe08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/885ead4418fb0410b7fad106d6cf9c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc3de61c3f82a3e63bc8c54beab24b3.png)
您最近一年使用:0次
2023-02-18更新
|
376次组卷
|
4卷引用:内蒙古赤峰二中2022-2023学年高三下学期第二次月考理科数学试题
名校
解题方法
9 . 已知函数
.
(1)求不等式
的解集;
(2)设
的最小值为M,若正实数a,b满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2048f92dc2552d446f391d36c666f2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0abe4960954bb3144b7e86d4233e747.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77b1e18a169ffc950d89ecd991ab4d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963a21b8d86c3697de596754947b1687.png)
您最近一年使用:0次
2023-02-09更新
|
466次组卷
|
6卷引用:内蒙古呼和浩特市2023届高三二模数学(理)试题
名校
解题方法
10 . 已知函数
.
(1)解不等式
;
(2)设函数
的最小值为
,若正数
,
,
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d1a2a09c0528f7308e77cb02994679.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04bbcc3eb28e550b30e7ba6eaa09fe8f.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/137352144f24a6df4a9f998a127fa843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c13349814250ec5c66d7b9387a13ac0.png)
您最近一年使用:0次
2022-09-06更新
|
1042次组卷
|
11卷引用:内蒙古赤峰市赤峰二中2024届高三上学期10月月考数学(文)试题
内蒙古赤峰市赤峰二中2024届高三上学期10月月考数学(文)试题(已下线)专题12-2 不等式选讲归类-2四川省江油中学2023-2024学年高三上学期9月月考数学文科试题四川省巴中市2022-2023学年高三上学期零诊考试数学(理科)试题四川省巴中市2022-2023学年高三上学期零诊考试数学(文科)试题四川省成都市成都市第七中学2022-2023学年高三上学期10月月考数学(理)试题四川省成都市简阳市阳安中学2022-2023学年高三上学期10月月考数学(理科)试题四川省成都市双流中学2022-2023学年高三上学期第三次质量检测数学文科试题四川省成都市石室中学2022-2023学年高三上学期10月阶段性测文科数学试题四川省岳池中学2023届高三上学期10月月考理科数学试题宁夏银川市唐徕中学2024届高三第三次模拟考试理科数学试题