解题方法
1 . 设函数
.
(1)若函数
在
上不单调,求a的取值范围;
(2)对任意
,都存在
,使得
成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e3e448719f116c89027aba23a09ab8.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91792ac4262a83e082aa03d6d66c437a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15c9625b033285c4e0b47095fc62d4d.png)
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名校
解题方法
2 . 已知关于x的不等式
.
(1)若当
时,
恒成立,求实数a的取值范围;
(2)当
时,求此不等式的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35e3a9c2ca8c431cc32bcf041e83b93.png)
(1)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc0e849b72357de1cdf719a7ed5f1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35e3a9c2ca8c431cc32bcf041e83b93.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
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名校
3 . 对于函数
,若存在
,使
成立,则称
为
的不动点.已知函数
.
(1)当
,
时,求函数
的不动点;
(2)若对任意实数
,函数
恒有两个相异的不动点,求实数
的取值范围;
(3)若
的两个不动点为
,
,且
,当
时,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070054c0b4182ab7399ed56925844e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73bc955d158efde0bdd62d14a60a65e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3eabba573620542d93f6f9928b43d8d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd09fb9482124fd35f19b86894648f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b0877fa20a3fe1f01b0163ffb7ac99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2022-11-07更新
|
537次组卷
|
2卷引用:吉林省长春市十一高2022-2023学年高一上学期期中数学试题
21-22高一上·广东深圳·期中
名校
4 . 已知
,
,
是不全为零的实数,函数
,
.方程
的实数根都是
的根;反之,
的实数根都是
的根.
(1)若
且
,求方程
的实数根;
(2)若
且
,求
的取值范围;
(3)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/43eee2d84c3190c8eb7775ebb430ac32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1470913da67376f7bd11e641d3d9639c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502c4ff1cd420b9da4de849e63c307e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fba21fb30da4220fa202e3c21dbca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fba21fb30da4220fa202e3c21dbca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502c4ff1cd420b9da4de849e63c307e9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa2bd9987f5b7ff56b65f6f31f49dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502c4ff1cd420b9da4de849e63c307e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d22f794d1a79ad925c7b39be608451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
5 . 已知函数
,问答以下问题:
(1)若
,且
,求该函数的最小值;
(2)若关于
的不等式
的解集为
或
,求
的值;
(3)求关于
的不等式:
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bf5679e8301694c5ef493ee9b70e2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a746002d53c65bcf6aafeeeff2c4972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ab2ce8118da46cf8ea4260e90fb701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2212ca63a0f4cac1086319559aa388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8aebdd8ee89f2c14b0b4e6138d552b1.png)
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解题方法
6 . (1)关于x的不等式
的解集为
,求实数a的取值范围;
(2)解关于x的不等式
;
(3)设(1)中a的整数值构成集合A,(2)中不等式的解集是B,若
中有且只有三个元素,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/712862ca682882849fd07bef33cf2d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2df1bc516cf59796f7610454440afc4.png)
(2)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06597f62b8d716348fc615f286d0bfd2.png)
(3)设(1)中a的整数值构成集合A,(2)中不等式的解集是B,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
您最近一年使用:0次
2020-12-03更新
|
1412次组卷
|
8卷引用:上海市南洋模范中学2020-2021学年高一上学期期中数学试题
上海市南洋模范中学2020-2021学年高一上学期期中数学试题(已下线)第三章 不等式B卷(综合培优)-【双基双测】2021-2022学年高一数学同步单元AB卷(苏教版2019必修第一册)(已下线)2.2分式不等式的求解(第4课时)福建省龙岩第一中学2022-2023学年高一上学期开学考试数学试题上海外国语大学附属大境中学2022-2023学年高一上学期期中数学试题(已下线)上海高一上学期期中【压轴42题专练】(2)(已下线)第二章 等式与不等式(压轴必刷30题7种题型专项训练)-【满分全攻略】(沪教版2020必修第一册)(已下线)第二章 一元二次函数、方程和不等式(压轴题专练)-速记·巧练(人教A版2019必修第一册)
名校
解题方法
7 . 已知函数
的图象与x轴的两个不同交点的横坐标分别为
,
.
(1)求m的取值范围;
(2)求
的取值范围;
(3)若函数
在
上是减函数、且对任意的
,
,总有
成立,求实数m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c9088e42b60f07b593695561b95d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(1)求m的取值范围;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c847f857b8d1788d4ba414b82840ef5e.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c9088e42b60f07b593695561b95d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8aa778be26da37a06328b4383f8793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b1893722d691f43a754bc89695c2966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7fcdd03dc3e4dbf11d2e871bb1658fb.png)
您最近一年使用:0次
2020-11-30更新
|
1381次组卷
|
4卷引用:陕西省西安市碑林区教育局2020-2021学年高一上学期期中教育质量检测数学试题
陕西省西安市碑林区教育局2020-2021学年高一上学期期中教育质量检测数学试题海南省海口市第一中学2021-2022学年高一上学期期中考试数学试题(已下线)专题04 一元二次函数、方程与不等式常考压轴题型-2021-2022学年高一《新题速递·数学》(人教A版2019)重庆市凤鸣山中学教育集团2022-2023学年高一上学期期中数学试题
19-20高一上·江苏·阶段练习
名校
8 . 已如函数
.
(1)若不等式
解集为
时,求实数
的值;
(2)当
时,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4117d38a29541c528570be35f70288.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9c9c92bac35c5fc4e5b95786cc698f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
您最近一年使用:0次
2019-11-05更新
|
725次组卷
|
5卷引用:江苏省南通市如皋市2019-2020学年高一上学期教学质量调研(一)数学试题
(已下线)江苏省南通市如皋市2019-2020学年高一上学期教学质量调研(一)数学试题江苏省南通巿2019-2020学年高一上学期第一次教学质量调研数学试题安徽省安庆市第二中学2019-2020学年高一下学期期中数学试题江苏省南京市第一中学2020-2021学年高一上学期12月月考数学试题浙江省嘉兴市海盐第二高级中学2023-2024学年高一上学期第一次阶段测试数学试题
9 . 关于
的不等式
,其中
为大于0的常数.
(1)若不等式的解集为
,求实数
的取值范围;
(2)若不等式的解集为
,且
中恰好含有三个整数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783f3646897cccf1e621f4ca8fd6024f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若不等式的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若不等式的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . (1)求不等式
的解集.
(2)已知
.若对于任意的
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeffa47e4ecc155e74f925628d567322.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c48124d0dee538fc30a8f0f739d6f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607446201aebc5aa2a36f3d73f7eec95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次