名校
解题方法
1 . 函数
,其中
,
,
.
(1)当
时,求不等式
的解集;
(2)若
的最小值为3,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aab687eba45f4795f21b2f99ddc2746.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/8cec12441802f71e803efaf2c62ee588.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd7126d6d76248996a222631cc9ea93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b562ca77fa64f3ebe40e0ad49833d5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2219d312e275702451d6323cd3e7ac67.png)
您最近一年使用:0次
2020-06-08更新
|
269次组卷
|
3卷引用:广东省湛江市第二十一中学2020届高三下学期6月热身数学(理)试题
名校
解题方法
2 . 已知函数
.
(1)若函数
的最小值为3,求实数
的值;
(2)在(1)的条件下,若正数
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105fbf91ce505b1ce714c57a38c80233.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)在(1)的条件下,若正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48de42fc90f6c80a503d8bea9d4412ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adf5bfbc5d41a5795e7d2d65d86b603.png)
您最近一年使用:0次
2020-03-23更新
|
184次组卷
|
2卷引用:2019届吉林省东北师范大学附属中学高三年级下学期理科数学大练习(五)
名校
解题方法
3 . 已知函数
的最小值为2.
(1)求
的值;
(2)若
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68bbab9bc3ac4f7969d7da9fb6ad7131.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)若
![](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/756557a0b2489190ea4ca67d3844df6d.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)若
,求实数
的取值范围;
(2)若
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e4655a983ea82a4d09cf3b6fa11285.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d39979cf1e03044bfc63703bb10505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e38ce59777d7392e40d8f07c5b86285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f61db73a5a9bce4ece8259a4c7d29376.png)
您最近一年使用:0次
2020-03-21更新
|
114次组卷
|
2卷引用:山西省芮城县2020届高三下学期3月月考数学(理)试题
5 . 已知函数
,
为方程
的解集.
(1)求
;
(2)证明:当
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53d198a041a8fe6218a10e23099f332.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee708f92c52fba2937144d34a967dfee.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2b85186925658e66d8541a5645269e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5c437121ec399b4dbbe32c888d866f.png)
您最近一年使用:0次
2020-05-22更新
|
168次组卷
|
2卷引用:云南省玉溪市2019-2020学年高三第二次教学质量检测数学(理)试题
6 . 已知集合
(
).对于
,
,定义
;
(
);
与
之间的距离为
.
(Ⅰ)当
时,设
,
.若
,求
;
(Ⅱ)(ⅰ)证明:若
,且
,使
,则
;
(ⅱ)设
,且
.是否一定
,使
?说明理由;
(Ⅲ)记
.若
,
,且
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e423803a7eceeb306d9020fdb86ddc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecfb4290cab93c0521d2596031625448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d22720c8b8fbbf1b8e4406400b135f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5200656a5ed2197cabde9c99afcf33ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83919f9b83559bd5d1db0b9256a2524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e87088da41685cc8d433fbbe0e18d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/badd0969b43deabb1e8f3fcca73ce1c5.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45cf86650443d1b86c79b1e3edc7e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af388e3a6185f4e6e2a7db5dba6e1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f68a89451ca87d57d88d786c23d484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49f6e0e6a7cd9b3ec681407e10b44901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(Ⅱ)(ⅰ)证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81345ca73b711411e665820b5672913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559305e1e35d369f1d056bb4191a23aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a47d9b859a3ca077f7fc1a4cdc5b5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3153bbcedc215adf208c82b65c8e6eff.png)
(ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81345ca73b711411e665820b5672913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3153bbcedc215adf208c82b65c8e6eff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559305e1e35d369f1d056bb4191a23aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a47d9b859a3ca077f7fc1a4cdc5b5d6.png)
(Ⅲ)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/003fbb029cdb6d5d7f93e29dca371f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81a3b20462ba83086d0711a25ed83bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b39ca902e466d5b24d13846b3bc4a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a2681390214200443ae07c01a4abe.png)
您最近一年使用:0次
2020-05-19更新
|
934次组卷
|
5卷引用:2020届北京市第四中学高三第二学期数学统练1试题
(已下线)2020届北京市第四中学高三第二学期数学统练1试题北京市第二中学2020~2021学年高一下学期第四学段考试数学试题北京市第二中学2021-2022学年高一下学期第四学段考试数学试题(已下线)重难点01平面向量的实际应用与新定义(3)北京景山学校2023-2024学年高一(1,2,3班)下学期期中考试数学试题
解题方法
7 . 已知实数
,
满足:
.
(1)求证:
;
(2)若对任意的
,
,
恒成立,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/254aebe3ef7eabdf41e46c1cd857c705.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7df04737303a839eb01c934bb2f0545.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b7ca6979653c1fabf321efee3e82eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39a153e1252316968938b9ddc4b009c.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
8 . 已知函数
(其中实数
).
(Ⅰ)当
,解不等式
;
(Ⅱ)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655d0d1d7e2018282bef9fb81de1368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78daca5678cd91ea3d27b44381ba4ab9.png)
您最近一年使用:0次
2020-05-25更新
|
511次组卷
|
7卷引用:安徽省淮北市第一中学2020届高三下学期第八次月考数学(理)试题
安徽省淮北市第一中学2020届高三下学期第八次月考数学(理)试题黑龙江省大庆市第四中学2020届高三下学期第四次检测数学(理)试题2020届安徽省淮南市高三第二次模拟考试理科数学试题安徽省淮南市2020届高三下学期第二次模拟考试文科数学试题2020届安徽省安庆市高三下学期第三次模拟数学(理)试题2020届安徽省安庆市高三下学期第三次模拟数学(文)试题(已下线)专题07 《不等式》中的解答题压轴题(1)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)
9 . 若对于实数
,
有
,
.
(Ⅰ)求
的最大值
;
(Ⅱ)在(Ⅰ)的条件下,若正实数
,
满足
,证明:
.
![](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/669adbbb51de05a3d4f27e245d004050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e1371b5ffd29041b1dc86bfd406d2c.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4769398000868a14fa322d0b1df97c6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(Ⅱ)在(Ⅰ)的条件下,若正实数
![](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/3c568952f0da52aa9d0583377981a02f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255b5812e63fd28e1eba816f71417b5f.png)
您最近一年使用:0次
2020-05-13更新
|
405次组卷
|
5卷引用:天一大联考2019-2020学年高三毕业班阶段性测试(五)理科数学试题
解题方法
10 . 已知函数
.
(1)求不等式
的解集;
(2)已知函数
的最小值为
,且
,
,
都是正数,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6e08ec174069357996bbc019e157997.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94eeafdf45063fe563d7c71a4cb5bff3.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e363788f18621baf47bce59e106a206.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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48de42fc90f6c80a503d8bea9d4412ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62be280a88124f783dd3fa6de2736914.png)
您最近一年使用:0次