八下不等式周周清试卷

八下不等式周周清试卷
八下不等式周周清试卷

八年级数学周周清

一、选择题

1.“x的3倍与y的和不小于2”用不等式可表示为()

A.3x+y>2

B.3(x+y)>2

C.3x+y≥2

D.3(x+y)≥2

2.不等式4-x≤2(3-x)的正整数解有()

A.1个

B.2个

C.3个

D.无数个

3.不等式组的解集是()

A.x>-1

B.x<2

C.x>2

D.-1<x<2

4.下列结论正确的是()

A.若a>b,且c=d,则ac>bd

B.若ac>bc,则a>b

C.若a>b,则ac2>bc2

D.若ac2>bc2,则a>b

5.如果b>a>0,那么()

6.已知不等式2x+a<3x的解为x>1,则a的值为()

A.1

B.0

C.-1

D.-2

7.使不等式x-2≥-3与2x+3<5同时成立的x的整数值是()

A.-2,-1,0

B.0,1

C.-1,0

D.不存在

8.下列不等式中,正确的是()

A.m与4的差是负数,可表示为m-4<0

B.x不大于3可表示为x<3

C.a是负数可表示为a>0

D.x与2的和是非负数可表示为x+2>0

9.在数轴上从左至右的三个数为a,1+a,-a,则a的取值范围是()

A.a<

B.a<0

C.a>0

D.a<-

10.在河北某市召开的出租汽车价格听证会上,物价局拟定了两套客运出租汽车运价调整方案.方案一:起步价调至7元/2公里,而后每公里1.6元;方案二:起步价调至8元/3公里,而后每公里1.8元.若某乘客乘坐出租车(路程多于3公里)时用方案一比较合算,则该乘客乘坐出租车的路程可能为()

A.7公里

B.5公里

C.4公里

D.3.5公里

二、填空题

11.若一直角三角形两边长分别为6和8,则斜边长为______ .

12.如果不等式2x-m≤0的正整数解为1,2,则m的取值范围

是______ .

13.如图中的螺旋由一系列直角三角形组成,则第n个三角形的面积为______ .

14.数轴上两点分别表示和,则在这两点之间表示整数的点共有______ 个.

15.已知=1.449,=4.573,则的值是______ .

16.初三的几位同学拍了一张合影作留念,已知冲一张底片需要0.80元,洗一张相片需要0.35元.在每位同学得到一张相片、共用一张底片的前提下,平均每人分摊的钱不足0.5元,那么参加合影的同学人数至少为______ 人.

17.如图,数轴上表示1、的对应点分别为点A、点B,若点

A是BC的中点,则点C表示的数为______ .

三、解答题

18.解不等式:,并将解集在数轴上表示出来.

19.解不等式组:.

20.已知不等式组的解集为-1<x<1,则(m+n)2014的值等于多少?

21.解不等式组-2,并写出该不等式组的整数解.

22.如图,正方形网格中的每个小正方形的边长都是1,每个顶点叫做格点.

(1)在图(1)中以格点为顶点画一个面积为10的正方形;

(2)在图(2)中以格点为顶点画一个三角形,使三角形三边长分别为2,,;这个三角形的面积为______ .

23.如图,25米长的梯子AB,斜靠在一竖直的墙AC上,

这时梯足B到墙底端C的距离为7米,如果梯子的顶端沿

墙下滑4米,那么梯足将向外移多少米?

24.已知关于x、y的方程组的解满足不等式3-x<2y,求实数a的取值范围.

25.某学校2015年在某商场购买甲、乙两种不同足球,购买甲种足球共花费2000元,购

买乙种足球共花费1400元,购买甲种足球数量是购买乙种足球数量的2倍.且购买一个乙种足球比购买一个甲种足球多花20元.

(1)求购买一个甲种足球、一个乙种足球各需多少元;

(2)2016年为响应习总书记“足球进校园”的号召,这所学校决定再次购买甲、乙两种足

球共50个.恰逢该商场对两种足球的售价进行调整,甲种足球售价比第一次购买时提高了10%,乙种足球售价比第一次购买时降低了10%.如果此次购买甲、乙两种足球的总费用不超过2900元,那么这所学校最多可购买多少个乙种足球?

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