名校
1 . 已知不等式
的解集是
.
(1)求实数
的值.
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c64aadb3f6c4fd734de4a50ec93347d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3432701dcc6000f25c5ea3a7937f2e7e.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fc9b0e74831ec5605976bf54d697d9e.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)若
,解关于
的不等式
;
(2)若不等式
在
上有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238004df3dc97bb5c19e0dd5760956e4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d49443243d30fa8102734f7b554dd58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e95bce05d469d84480868706d4ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 已知
、
为方程
的两根,求
的最小值.
![](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/466fdf55433b08573a053083edb7bb35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7c2af390b1667150182cb9eea8fe3e.png)
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4 . 已知
,
.
(1)若
,解关于
的不等式组
;
(2)若对任意
,都有
或
成立,求
的取值范围;
(3)在(2)的条件下,存在
,使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223a0b1db7f48aa6e7d4a2a66dcb8786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1d7f893fcc294b8e8f89b132cbe800.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012133fbb9ffec19373c119748de3ebb.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecb04a10139b28813d3d1fb55a1fa3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4399fefbfaa8cf9678cfcc1fe14cf29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)在(2)的条件下,存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16139d5c75ad4498e5d8526679ad009e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79891395ddbe2b31f3c91523176f7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . (1)已知关于
的不等式
的解集是
,求
的解集;
(2)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66de2b67d3a40b9d2ba56f776e0c253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9189ea92dcf9909f9e1eb0f3670c5a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc2b88453062992debf4179c22e6a79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b272917dcad36db6253ddba2b981230.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82359cd0c03ac3b86e8dd8845598a0a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016f958c1f57f20503a350f811837178.png)
您最近一年使用:0次
名校
6 . (1)当
,若关于
的不等式
的解集不空,求实数a的取值范围;
(2)求关于
的不等式
的解集.
![](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/b88b6d0df0ee20bf56477f867015a08c.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097ca32934ef96f84e79ef007f2d8708.png)
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2023-09-12更新
|
1112次组卷
|
3卷引用:河北省唐县第一中学2022-2023学年高一上学期10月月考数学试题
河北省唐县第一中学2022-2023学年高一上学期10月月考数学试题(已下线)第3章 不等式综合能力测试-【帮课堂】(苏教版2019必修第一册)天津市武清区杨村第一中学2023-2024学年高一上学期第一次月考数学试题
22-23高一上·山西朔州·期末
名校
解题方法
7 . 已知全集
.
(1)若
,求
;
(2)若“
”是“
”的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e95a4d0ef1d5bb429597699c711ffcc.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89c4e36500e5697f7945c593e1306e5.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
8 . 已知二次函数
及一次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebd1bc45f29074134b423768172539d.png)
(1)当
时,求不等式
的解集;
(2)若对
使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa321f158bc485fb1e6aba444188596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebd1bc45f29074134b423768172539d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4c781a49461703370132415bd270cc.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c82cd15c3af5592b84cce0a8427ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72372e929d36dd1b0bd776de2495e876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2022-10-28更新
|
503次组卷
|
2卷引用:江苏省连云港市新海高级中学2020-2021学年高一上学期期中数学试题
名校
9 . 已知
.
(1)若不等式y>b的解集为(0,3),求实数a,b的值;
(2)若a=3时,对于任意的实数x,都有
,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8addbb43a9a93b7fd20797e76f34c69.png)
(1)若不等式y>b的解集为(0,3),求实数a,b的值;
(2)若a=3时,对于任意的实数x,都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52d594d816c28dcfe8b601c065642e59.png)
您最近一年使用:0次
2020-10-15更新
|
194次组卷
|
3卷引用:江苏省南京市金陵中学2020-2021学年高一上学期第一次月考数学试题
10 . 已知函数
.
(1)若
的解集为
或
,求
的值;
(2)若
,使不等式
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7c3473ebcdc4dbe8ae7aa09cebed0d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529e54779ea0999c419fc750883b4040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd74277ee3ea236d5f134174621f4e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d079335044124b637b65581d6c53eb6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee956329e95a172d86c86b2f6af7aec.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0af722e9474730ded501cdbe156c95f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241cf97a1aa2d6ed054ef82c1b5d369e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次