标题

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2019年中考数学复习讲义:方程与不等式专题练习-2018年中考数学不等式组

2018年全国各省市方程与不等式专题中考真题汇编考点分析

知识点题量考点占比
解一元一次不等式组1431.11%
在数轴上表示不等式的解集1226.67%
一元一次不等式组的整数解24.44%
一元一次不等式的应用24.44%
二元一次方程组的应用1328.89%
一元一次方程的应用24.44%

一.解答题(共45小题)

1.(2018•广州)解不等式组:\(\left\{ {\begin{array}{*{20}{l}}{1 + x > 0}\\{2x – 1 < 3}\end{array}} \right.\).

 

 

2.(2018•济南)解不等式组:\(\left\{ {\begin{array}{*{20}{l}}{3x + 1 < 2x + 3}\\{2x > \frac{{3x – 1}}{2}}\end{array}} \right.\)

 

 

3.(2018•大连)解不等式组:\(\left\{ \begin{align} & x-1\ge 2x \\ & \frac{x-1}{2}\le \frac{x}{3} \\ \end{align} \right. \)

 

 

4.(2018•苏州)解不等式组:\(\left\{\begin{array}{l}{3x\geq x+2}\\ {x+4<2(2x-1)}\end{array}\right.\)

 

 

 

5.(2018•乐山)解不等式组:\(\left\{ {\begin{array}{*{20}{l}}{3x – 2 < 4x – 2}\\{\frac{2}{3}x < 7 – \frac{1}{2}x}\end{array}} \right.\)

 

 

 

6.(2018•常州)解不等式组:\(\left\{\begin{array}{l}{2x-6>0}\\ {x+2\geq -x}\end{array}\right.\)

 

 

 

7.(2018•北京)解不等式组:\(\left\{ {\begin{array}{*{20}{l}}{3(x + 1) > x – 1}\\{\frac{{x + 9}}{2} > 2x}\end{array}} \right.\)

 

 

8.(2018•台州)解不等式组:\(\left\{ {\begin{array}{*{20}{l}}{x – 1 < 3}\\{3(x – 2) – x > 0}\end{array}} \right.\)

 

 

9.(2018•金华)解不等式组:\(\left\{\begin{array}{l}{\frac{x}{3}+2<x}\\ {2x+2\geq 3(x-1)}\end{array}\right.\)

 

 

10.(2018•宁夏)解不等式组:\(\left\{{\left.\begin{array}{l}{x-3(x-1)\geq 5}\\ {\frac{x-3}{5}-1<\frac{x+1}{2}}\end{array}\right.}\right.\)

 

 

11.(2018•连云港)解不等式组:\(\left\{\begin{array}{l}{3x-2<4}\\ {2(x-1)\leq3x+1}\end{array}\right.\)

 

 

 

12.(2018•湖州)解不等式\(\frac{3x-2}{2}\leq2\),并把它的解表示在数轴上.

 

 

 

13.(2018•常德)求不等式组\(\left\{\begin{array}{l}{4x-7<5(x-1)}\\ {\frac{x}{3}\leq3-\frac{x-2}{2}}\end{array}\right.\)的正整数解.

 

 

14.(2018•威海)解不等式组,并将解集在数轴上表示出来.

\(\left\{ \begin{array}{*{35}{l}} 2x-7<3\left( x-1 \right),  \\  5-\frac{1}{2}\left( x+4 \right)x\cdot   \\ \end{array} \right.\)

 

 

15.(2018•自贡)解不等式组:\(\left\{ \begin{array}{*{35}{l}} 3x-51  \\ \frac{13-x}{3}<4x  \\ \end{array} \right.\),并在数轴上表示其解集.

 

 

16.(2018•南京)如图,在数轴上,点\(A\)、\(B\)分别表示数1、\( – 2x + 3\).

(1)求\(x\)的取值范围;

(2)数轴上表示数\( – x + 2\)的点应落在  

\(A\).点\(A\)的左边           \(B\).线段\(AB\)上              \(C\).点\(B\)的右边

17.(2018•桂林)解不等式\(\frac{{5x – 1}}{3} < x + 1\),并把它的解集在数轴上表示出来.

 

 

18.(2018•无锡)解不等式组:\(\left\{ \begin{array}{*{35}{l}} 2x+1>x-1  \\ x-1\frac{1}{3}\left( 2x-1 \right)  \\ \end{array} \right.\)

 

 

19.(2018•上海)解不等式组:\(\left\{\begin{array}{l}{2x+1>x}\\ {\frac{x+5}{2}-x\geq 1}\end{array}\right.\),并把解集在数轴上表示出来.

 

 

20.(2018•怀化)解不等式组\(\left\{ \begin{array}{*{35}{l}} 3x+32x+7  \\ 5\left( x-1 \right)>3x-1  \\ \end{array} \right.\),并把它的解集在数轴上表示出来.

 

 

21.(2018•张家界)解不等式组:\(\left\{\begin{array}{l}{2x-1<5}\\ {x+2\geq 1}\end{array}\right.\),写出其整数解.

 

 

22.(2018•黄石)解不等式组\(\left\{\begin{array}{l}\frac{1}{2}(x+1)\leq2\\  \frac{x+2}{2}\geq \frac{x+3}{3}\end{array}\right.\),并求出不等式组的整数解之和.

 

 

23.(2018•黄冈)求满足不等式组\(\left\{\begin{array}{l}{x-3(x-2)\leq8}\\ {\frac{1}{2}x-1<3-\frac{3}{2}x}\end{array}\right.\)的所有整数解.

 

 

 

24.(2018•郴州)解不等式组:\(\left\{ \begin{array}{*{35}{l}}  3x+2>2\left( x-1 \right)  \\ 4x-23x-2  \\ \end{array} \right.\)并把解集在数轴上表示出来.

 

 

 

25.(2018•宜昌)解不等式组\(\left\{\begin{array}{l}{\frac{10-x}{3}\leq2x+1}\\ {x-2<0}\end{array}\right.\),并把它的解集在数轴上表示出来.

 

 

26.(2018•永州)解不等式组\(\left\{ {\begin{array}{*{20}{l}}{2(x – 1) + 1 < x + 2}\\{\frac{{x – 1}}{2} >  – 1}\end{array}} \right.\),并把解集在数轴上表示出来.

 

 

27.(2018•盐城)解不等式:\(3x-1\geq 2(x-1)\),并把它的解集在数轴上表示出来.

 

 

28.(2018•天津)解不等式组\(\left\{ \begin{array}{*{35}{l}} x+31  \\ 4×1+3x  \\ \end{array} \right.\).

请结合题意填空,完成本题的解答.

(1)解不等式①,得  

(2)解不等式②,得  

(3)把不等式①和②的解集在数轴上表示出来;

(4)原不等式组的解集为  




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