1 . 解不等式组及计算:
(1)解不等式组![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b2fdadaaec3762b29658146dd94010.png)
(2)因式分解:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93aeb4732bc25e7793e70e618e2a60b5.png)
(3)解方程:
;
(4)先化简,再求值:
,从
,0,2中取一个合适的数作为x的值代入求值.
(1)解不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b2fdadaaec3762b29658146dd94010.png)
(2)因式分解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93aeb4732bc25e7793e70e618e2a60b5.png)
(3)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f4a16ba60d105e018f5bad9ed3e3ad0.png)
(4)先化简,再求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0053981d6fa80df1c15ec84fccd700a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
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2 . 已知反比例函数
的图像经过点
.
(1)求
的值为 ;
(2)完成下列解答:解不等式组![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504df4bcf895161e82a657da3c5e082a.png)
(Ⅰ)解不等式①,得 ;
(Ⅱ)根据函数
的图像,得等式②的解集为 ;
(Ⅲ)把不等式①和②的解集在数轴上表示出来,得到不等式组的解集为 ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7e80d8fb6c014b585cb0902275600b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)完成下列解答:解不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/504df4bcf895161e82a657da3c5e082a.png)
(Ⅰ)解不等式①,得 ;
(Ⅱ)根据函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
(Ⅲ)把不等式①和②的解集在数轴上表示出来,得到不等式组的解集为 ;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/f840ee68-a215-486b-b43f-a1e1152c8e5b.png?resizew=218)
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2022高一·全国·专题练习
3 . 已知
,
满足方程组
,且
.
(1)试用含
的式子表示方程组的解;
(2)求实数
的取值范围;
(3)化简
.
![](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/74505a91ab0c9038b2e5481131bb1342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8d93ef14e700c6bed4e4d31625925a.png)
(1)试用含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3d52af08461102a97ea9cc12ea168a.png)
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4 . 计算
(1)解方程:
;
(2)解分式方程:
.
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6e1217f1a47a31fde4ef8b6f403dd8.png)
(2)解分式方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d5ce69923d03b4b17b9c68b48cdd01.png)
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2022高一·全国·专题练习
5 . (1)解不等式
,并将其解集在数轴上表示出来;
(2)解不等式组并把解集在数轴上表示出来:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64628175df0e4fd35d2d618e615f4bc.png)
(2)解不等式组并把解集在数轴上表示出来:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5683b7974117fff8aa416c389b985ff3.png)
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名校
6 . (1)解不等式
;
(2)解不等式组
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e011b337fdb8459ca5006b772136c039.png)
(2)解不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6f947b316be99fca7cb1b0ae3bcb19.png)
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2022-09-29更新
|
805次组卷
|
2卷引用:宁夏银川市唐徕回民中学2022-2023学年高一上学期9月月考数学试题
7 . 若关于
的线性方程组的增广矩阵为
,该方程组的解为
,则
的值等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f640d4c6ea2591d85488d00d13da92d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb312945a38bba8f95bb992785c5651f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815908b3b62f61a58ad2d99d3052435b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
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2022高一·全国·专题练习
8 . 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: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【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
名校
9 . (1)解不等式
;
(2)已知a是实数,试解关于x的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20dce2b08abc4bf328455c71ded78f9.png)
(2)已知a是实数,试解关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89909d1c4bc96bb0b355d353f325c4e.png)
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2022-10-13更新
|
1141次组卷
|
3卷引用:江苏省南京师范大学附属中学2022-2023学年高一上学期10月月考数学试题
名校
10 . 甲乙两位同学求关于
的方程组
的解集
时,甲因看错了
,解得
;乙因看错了
,解得
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30800bcb030cf5ee97d0e21fbbe8c368.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22d7c214d9685da7be80319ed80d8df.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7822f361618da0965955d7bc25c4b49c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46102fb6ed356e25bae44efe2139ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331c214721617d58a0c4a8178cfb7b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0364e6be73d9d631bce3d194b0b43e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30800bcb030cf5ee97d0e21fbbe8c368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22d7c214d9685da7be80319ed80d8df.png)
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