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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3 . 定义区间
的长度均为
,其中
.
(1)不等式组
的解集中各区间的长度和等于8,求实数
的取值范围;
(2)已知常数
,满足
,求满足不等式
的解集中各区间长度之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dea81d99b5fe5d506bbd3e4843d085a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba426b113b9e781b0e45a17872dc0815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40aac3b8bed3f6e9b79a1f7c0ff6c830.png)
(1)不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b5e05c2f0eebfebc3568d69dac9746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08075b3b73dd2609baad69a496fdd9a8.png)
(2)已知常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae22c3fbdb2ad97d9fa6b542490a28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed0d3e6741e0193addff8cf7b25019c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383476c275769e102fd17e6af59b321.png)
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4 . 解下列关于
的不等式或不等式组:
(1)计算:
;
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b3b9a754c601f6346e26578d9dadaab.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884d32b458a26740d454c9c59eb711ee.png)
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2022高一·全国·专题练习
5 . 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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6 . 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
7 . 已知方程组
的解满足
为非正数,
为负数.
(1)求
的取值范围.
(2)在
的取值范围内,当
为何整数时,不等式
的解为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6114d01a153cd885898f939d2fbb68bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96414f09fef9f3cc66961f371eacc285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
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8 . (1)化简再求值:
,其中
.
(2)解分式方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d8a8518de3b067fc57251db0de0af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f0f9ea5fbaf5ef0f979768b4dde09d.png)
(2)解分式方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7091603e32e8b874d06bf1c3b441aafc.png)
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2022高一·全国·专题练习
9 . (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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10 . (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
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807次组卷
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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