1 . 在平面直角坐标系中,定义点
,
之间的“直角距离”为
.
(1)已知
,
,
三点,若
,求
的取值范围;
(2)已知
,
,
三点,对任意
,
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f054b3318e916b6be06f1eab0dd4b3e5.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec48b229afb57565f24fbd514dff5b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266504a4bd910b292c74765dc9772f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a3f9d5a2752ca0a9cf9f5b8ad62d9fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bea9f9622001dfb58248ffeea0f0b0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a10df05893f0e1379e7bb25eeaf1e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3544997cc034ed882c0d0a3bdbf5f957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f320864176e4083ee7c9f07fefece18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d314ad369d304619915f3a7429898ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
2 . 已知
,函数
的最大值为3,
(1)求实数m的值;
(2)若实数a,b,c满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be466586da8810ccfd811c59a747adb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476eba3930c7e1b0b2f4a970f8c60243.png)
(1)求实数m的值;
(2)若实数a,b,c满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803ea1a308934e661484f4ed743841d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd4067a19eeb07474557fe7b2508880.png)
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2022-04-14更新
|
667次组卷
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7卷引用:2015届福建省福州市三中高三模拟理科数学试卷
名校
3 . 设
,
,
.
(1)解不等式
;
(2)
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf53f232cd433b791e3696c0ba97750b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4367e45a47a02037a38bd591dd09f930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640cb603fc8315d9e37c97561f6a7b83.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2405c4822bceae1cf191edb502d3b0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee59fbe13325820ec6fc47eb5f35d87.png)
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解题方法
4 . 已知
,
.
(Ⅰ)当
时,求不等式
的解集;
(Ⅱ)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8789a9e48c20a09873bf117e0c0b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d54b89dfd16cf51eb62ec36fb5c17b42.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d090630ab739eea7845ddc53475073f5.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447d6f62c09c1d05346fd16a24159f6e.png)
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2020-05-30更新
|
417次组卷
|
4卷引用:2020届江西省南昌市高三第二次模拟数学(文)试题
解题方法
5 . 已知函数
,
.
(1)若
,解不等式
;
(2)若对任意
,都有
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf4ca9d6bc9dade872b4fcc96aa0f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb3cf6a66ae6c20a265420e85f6fa78.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b490a15bd2376e3fd76653d1763d2e44.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec80634a6e2b2c85f845fa368b3a5969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba8542fbe02e78cf3948c9abea9855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390b78a295560b485b96cfbcd73c61a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-11-15更新
|
218次组卷
|
2卷引用:云南省德宏州、迪庆州2018届高三上学期期末教学质量检测数学(文)试题
名校
解题方法
6 . 已知函数
,
.
(Ⅰ)若不等式
对
恒成立,求正实数
的取值范围;
(Ⅱ)设实数
为(Ⅰ)中
的最大值.若正实数
,
,
满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c3c163acf82b83741cbcf8a1e077bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(Ⅰ)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67194ccd0cbab464c3006420524da769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅱ)设实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/271fd7c795d5d25679051517f446365d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef925b6c67927f39057b78bf1e77418.png)
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2020-03-15更新
|
300次组卷
|
3卷引用:2020届内蒙古鄂尔多斯市第一中学高三下学期第一次模拟考试数学(文)试题
名校
解题方法
7 . 设函数
.
(1)若
,
,求
的取值范围;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78599b7a69ca933ec7e2a1e2d6e8c180.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b104867a12d24a353d94858c2fa17c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff99265367df8a4cd505bb04cdec6636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8792eaab0b6464e5d07436c64aa751a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc4f2cd3b0a8cb2c51c60b788c6c065.png)
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2020-05-05更新
|
175次组卷
|
5卷引用:2019届湖南省名校联盟高三下学期5月大联考文科数学试题
名校
解题方法
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8327be2dd861aba12773e281c6f3582.png)
(1)解不等式
;
(2)若对于
,
,有
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8327be2dd861aba12773e281c6f3582.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437bafa929ee61f3e0c641a3dcf3e4ba.png)
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb1c7c4e943918a196ca5efca97f880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8cb1fceb254aa62b6007f8e849c2de6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe0474aaea4beb448cc01ccf12dad938.png)
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2020-04-18更新
|
518次组卷
|
10卷引用:2019年11月四川省攀枝花市一模数学(文)试题
2019年11月四川省攀枝花市一模数学(文)试题2019年11月四川省攀枝花市一模数学(理)试题四川省攀枝花市2019-2020学年高三上学期第一次统考理数试题江西省南昌市四校联盟2019-2020学年高三第二次联考数学(文)试题四川省泸州市泸县第四中学2020届高三下学期第二次高考适应性考试数学(理)试题四川省泸州市泸县第四中学2020届高三下学期第二次高考适应性考试数学(文)试题2020届四川省攀枝花市高三第一次统一考试文数试题(已下线)专题16 不等式选讲-备战2021届高考数学(文)二轮复习题型专练?(通用版)四川省宜宾市叙州区第一中学校2019-2020学年高二下学期第二次月考数学(文)试题四川省宜宾市叙州区第一中学校2019-2020学年高二下学期第二次月考数学(理)试题
解题方法
9 . 设函数
.
(1)求不等式
的解集;
(2)若存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8e5ec5acd6af8bf90757fd8eb93987.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640d3bcd10055871a5ec2f442c1030c1.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd60ce4d27c99ea01b058731ead6b2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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10 . 已知f(x)=|2x﹣1|﹣|2x+1|.
(1)求不等式f(x)>1的解集.
(2)当
时,求证:4x2+4x+2>(2x+1)f(x).
(1)求不等式f(x)>1的解集.
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d8cac9b417849a2a3c8d604e05987e.png)
您最近一年使用:0次