名校
1 . (1)求函数
的最大值
.
(2)若实数
,
,
满足
,证明:
,并说明取等条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d5968e378702dc684ece0674150251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若实数
![](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/49e25ff2a6f663de678d31d6a0d48dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d868fbfd148f9047b560d0783e61aa.png)
您最近一年使用:0次
2020-10-10更新
|
461次组卷
|
4卷引用:四川省成都七中2020-2021学年高三10月阶段性测试数学(理科)试题
四川省成都七中2020-2021学年高三10月阶段性测试数学(理科)试题四川省成都七中2020-2021学年度高三10月阶段性测试数学(文科)试题四川省成都市第七中学2020-2021学年高三上学期10月月考数学试题(已下线)专题14 不等式选讲-【备战高考】2021年高三数学高考复习刷题宝典(解答题专练)
名校
2 . 已知函数
的最小值为2.
(1)求m的值;
(2)若a,b,c均为正数,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec4f101d20dd277b84a7a709ebc32b11.png)
(1)求m的值;
(2)若a,b,c均为正数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e60c3c3cb78741dd48c1dd6a672961.png)
您最近一年使用:0次
名校
解题方法
3 . 已如函数
.
(1)
,
,解不等式
;
(2)m,n是
的两个零点,若
,求证:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfc19f86c79267e8947ee375a5b75c45.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632cfdd27f7041e1353d7a5fee785078.png)
(2)m,n是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610f9a1bc18bed042d4e587e306775fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/546bf2ccabfb49c99472445843939226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf100e92222d9d50cf6df82517de90d.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
,
的解集为
.
(1)若存在
,使
成立,求实数
的取值范围;
(2)如果对于
满足
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b6c047d0ab04af1a0289a8d01f5c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add481eb3ff426095a0b06985b2ea973.png)
(1)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3eee9d21e232d9479e8819a0badc674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)如果对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fa63c33449c687c1712bee9e380248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e123336a38ec39a24b3596f13278fc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5e587ca42942c63cf7ba196a355a81.png)
您最近一年使用:0次
2020-07-11更新
|
431次组卷
|
7卷引用:黑龙江省哈尔滨市第三中学校2020届高三第四次模拟数学(文)试题
黑龙江省哈尔滨市第三中学校2020届高三第四次模拟数学(文)试题黑龙江省哈尔滨市第三中学校2020届高三第四次模拟数学(理)试题黑龙江省哈尔滨三中2020届高考数学(文科)四模试题黑龙江省哈尔滨三中2020届高考数学(理科)四模试题(已下线)理科数学-2021年高考押题预测卷(新课标Ⅰ卷)02(已下线)文科数学-2021年高考押题预测卷(新课标Ⅰ卷)02江西省萍乡市芦溪中学2022届高三上学期第一次段考数学(理)试题
名校
5 . (1)设
,
,
是不全相等的正数,证明:
.
(2)已知函数
.当函数
的定义域为R时,求实数a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/35f0514c4015765d1b12b76f4df81215.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a6161583b2653a2922c1081206b378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
6 . 设函数
.
(1)若存在
使得
,求实数
的取值范围;
(2)若
是(1)中的最大值,且正数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41704e782a18e4fc47cda11f4df5c4c.png)
(1)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a057d3ff513d203309350413223be208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce5118394e703092a3ac1deb901eeeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deba97f507ced9a7884d4d5c855f4e3a.png)
您最近一年使用:0次
2020-09-22更新
|
75次组卷
|
2卷引用:江西省信丰中学2020届高三上学期月考二数学(文)试题
名校
解题方法
7 . 已知
.
(1)若存在
使得
,求
的取值范围;
(2)记
是(1)中
的最大值且
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a544e2756f1ab7ac46b79f2f821c9d.png)
(1)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3061c3b086fa286a92480e501a651a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e93d8fb77f5bd2c0fc690752dfd771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e79341d63fb97653cc5afb71765fa3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4a39a90790c2e2112074fa1066c696.png)
您最近一年使用:0次
2020-09-25更新
|
599次组卷
|
6卷引用:四川省阆中中学2020-2021学年高三11月月考数学(文)试题
四川省阆中中学2020-2021学年高三11月月考数学(文)试题四川省南充市阆中中学2020-2021学年高三(上)期中数学(文科)试题广西南宁市2021届高三12月特训测试理科数学试题四川省巴中市2021届高三零诊考试数学(理)试题四川省巴中市2021届高三零诊考试数学(文)试题(已下线)专题28 证明不等式的常见技巧-学会解题之高三数学万能解题模板【2022版】
名校
8 . 已知函数
.
(1)若
,求
的最小值;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c401742c4e0f2757772a695fa0df6c4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d178e76ed3c14fb8eeb934c80161cac8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d57674f36bf5c1f8098d80be12a310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147b4eab50cf0df20179de4fed74f998.png)
您最近一年使用:0次
2020-07-13更新
|
135次组卷
|
3卷引用:黑龙江省哈尔滨师范大学附属中学2020届高三6月复课线下考查数学(文)试题
解题方法
9 . 已知函数
的最大值为
.
(Ⅰ)求
;
(Ⅱ)已知
,
,
为实数,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4092862bca045fb5202f8d137b5ee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(Ⅱ)已知
![](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/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717d69ff30d106d7bc2738a08da4d770.png)
您最近一年使用:0次
2020-06-22更新
|
104次组卷
|
2卷引用:2020届河北省石家庄市高三五月模拟(七)数学(理)试题
名校
解题方法
10 . 已知函数
.
(1)若
,且
,求
的最小值;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c401742c4e0f2757772a695fa0df6c4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c270c7508ec18bfae26af47763aab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d178e76ed3c14fb8eeb934c80161cac8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19d57674f36bf5c1f8098d80be12a310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147b4eab50cf0df20179de4fed74f998.png)
您最近一年使用:0次