2022高一·全国·专题练习
1 . 重新考查不等式
.这个不等式的左边可分解因式为
.根据实数乘法的符号法则,问题可归结为求一元一次不等式组(1)
和(2)
的两个解集的并集
不等式组(1)的解为
,不等式组(2)无解,从而不等式
的解集为
.
试用上述方法解下面的不等式:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1efbf762119867ae3b97f31df4a0c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d852cf61a25d86240ce9625b768802f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57168f04622ebb6a69176f02835c6d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11954b8851892690b2548d3507108db.png)
不等式组(1)的解为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debe21e6fbd160fd147eddd2849c96b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1efbf762119867ae3b97f31df4a0c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34656e75013a8d11e63e2c677d1b9aaa.png)
试用上述方法解下面的不等式:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7d1cad89cd84c0cf1f68d4b2ecb43b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30f7934cfaaacbda8d9d035afe63e89.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e720d34ced3d82ad59f3c41e7137470.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e898c180d3aaab86acda33b736a1ce.png)
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2023-09-14更新
|
165次组卷
|
4卷引用:【导学案】4.3一元二次不等式的应用课前预习-北师大版2019必修第一册第一章预备知识
【导学案】4.3一元二次不等式的应用课前预习-北师大版2019必修第一册第一章预备知识(已下线)第2章 一元二次函数、方程和不等式(基础、典型、易错、新文化、压轴)分类专项训练-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)(已下线)第3章 不等式 章末题型归纳总结(1)-【帮课堂】(苏教版2019必修第一册)苏教版(2019)必修第一册课本习题 习题3.3
20-21高一·江苏·课后作业
2 . 已知二次函数
的图象与x轴交于
,
两点,求关于x的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852b303689c31189cd47bb4a3220f9fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c3f0536807dd822ff082a21b503463.png)
您最近一年使用:0次
2021-10-30更新
|
776次组卷
|
3卷引用:【导学案】4.2 一元二次不等式及其解法课前预习-北师大版2019必修第一册第一章预备知识
2021高一·上海·专题练习
名校
3 . 解下列不等式:
(1)x2-5x-6>0;
(2)(2-x)(x+3)<0.
(1)x2-5x-6>0;
(2)(2-x)(x+3)<0.
您最近一年使用:0次
2021-08-18更新
|
882次组卷
|
4卷引用:专题08 二次函数与一元二次方程、不等式-【高效预习】2021-2022学年高一数学上学期新课预学案(人教A版2019必修第一册)
(已下线)专题08 二次函数与一元二次方程、不等式-【高效预习】2021-2022学年高一数学上学期新课预学案(人教A版2019必修第一册)(已下线)第7讲 一元不等式的解法-【A+课堂】2021-2022学年高一数学同步精讲精练(沪教版2020必修第一册)广西桂林市中山中学2022-2023学年高一上学期11月期中考试数学试题人教A版(2019) 必修第一册 数学奇书 第二章 一元二次函数、方程和不等式 2.3 第1课时 二次函数与一元二次方程、不等式
4 . 求下列不等式的解集:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0defab554b23fd5df605b26342504462.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4cf7681687045bfd385d549b8a667eb.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cebe83d65d76f61231c2778e384f184.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03f5e2ce625506cc6901e3bbfd57616.png)
您最近一年使用:0次
2020-02-07更新
|
2666次组卷
|
5卷引用:【导学案】4.2 一元二次不等式及其解法课前预习-北师大版2019必修第一册第一章预备知识
5 . 求下列不等式的解集:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381e764024cf7ebcfecd9b32703d5fc9.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94bb23269874ab8ffbe057d286ec9b12.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec94a4372a5c354390dfa95f7c5347f1.png)
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7eff52e19f18117bed6db84a8cbd002.png)
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841f18e21633f5071b9d1a7100b35cce.png)
(6)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381e764024cf7ebcfecd9b32703d5fc9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94bb23269874ab8ffbe057d286ec9b12.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec94a4372a5c354390dfa95f7c5347f1.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7eff52e19f18117bed6db84a8cbd002.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841f18e21633f5071b9d1a7100b35cce.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b5cfd9557c3f5b89b062b0aa970390.png)
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6 . 求下列不等式的解集:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e7d39a651b7db5b034dcd5f54a9743.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6fe882e3721c837a0f637bed7d38f5.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b1d2065bf78cee750851e598cab543.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e7d39a651b7db5b034dcd5f54a9743.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b6fe882e3721c837a0f637bed7d38f5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b1d2065bf78cee750851e598cab543.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/116a977d1f6716c4d5ccda59c3eb3729.png)
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7 . 求下列不等式的解集:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d279726a4c88e957d5261cb47ffe6de.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9c67b11eb9e0c5ea424291303a381b.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ee09657f206936f7b65ce0e4f93ffd.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d279726a4c88e957d5261cb47ffe6de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9c67b11eb9e0c5ea424291303a381b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ee09657f206936f7b65ce0e4f93ffd.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317bb7aad588e27c9dd3fdd9800f5510.png)
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8 . 求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4eed3415f9a0607cc2a9dc52960f76f.png)
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