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2014年初三一模试题(初一练习)

2014年初三一模试题(初一练习)
2014年初三一模试题(初一练习)

2014年初三一模试题

1、四个数﹣5,﹣0.1

,2

13为无理数的是( )A 、﹣5 B 、﹣0.1

C 、

D 、

2、9的算术平方根是 .

3、不等式组 10

21

x x +≥??-≤

的解集在数轴上的正确表示为(﹡)

4、不等式组20

30

x x ->-

A .x>2

B .x<3

C .2

D .无解 5、下列命题中,正确的是( )

A 、若0a b ?>,则00a b >>,

B 、若0a b ?

>,则0

a b <<, C 、若0a b ?=,则0a =, 且0b = D 、若0a b ?=,则0a =,或0b = 6、点A ()2,3向左平移3个单位长度得到点A ’,则点A ’的坐标为(※) A . ()2,0 B . ()-1,3 C. ()-2,3 D. ()5,3

7、通过平移把点A(2,-3)移到点A’(4,-2),按同样的平移方式,点B(3,1)移到点B′, 则点B′的坐标是 ________

8、如图,在数轴上点A ,B 对应的实数分别为a ,b ,则有( ) A .0a b +> B .0a b -> C .0ab > D .0a

b

> 9、化简:

10、解方程组.

1123,

12???=-=+y x y x

??

?=+=-7

242y x y x 4122x x

x x -=+--

1 1 1 1 (A ) (B )

(C )

(D )

11、解不等式组:

32 1 (1)

1

1 (2)

2

x

x

-≥-

?

?

?

-<

??

并把解集在数轴上表示出来.

12、广州市某楼盘准备以每平方米35000元的均价对外销售,某人准备以开盘均价购买一套

80平方米的房子.开发商还给予以下两种优惠方案以供选择:①打9.8折销售;②不打折,送两年物业管理费.物业管理费是每平方米每月4元.请问哪种方案更优惠?

13、在广州市快速公交(简称BRT)改造工程中,某施工小分队承担了100米道路的改造任务.为了缩短对施工现场围蔽的时间,在确保工程质量的前提下,该小分队实际施工时每天比原计划多改造道路10米,结果提前5天完成了任务,求原计划平均每天改造道路多少米?

14、九年级三班在召开期末总结表彰会前,班主任安排班长李小明去商店买奖品,下面是李小明与售货员的对话:

李小明:阿姨,您好!

售货员:同学,你好,想买点什么?

李小明:我只有100元,请帮我安排买10支钢笔和15本笔记本.

售货员:好,每支钢笔比每本笔记本贵2元,退你5元,请清点好,再见.

根据这段对话,你能算出钢笔和笔记本的单价各是多少吗?

15、为了帮助贫困学生,姐妹两人分别编织28个中国结进行义卖,已知妹妹单独编织一周

(7天)不能完成,而姐姐单独编织不到一周就已完成.姐姐平均每天比妹妹多编2个.求:(1)姐姐和妹妹平均每天各编多少个中国结?(答案取整数)

(2)若妹妹先工作2天,姐姐才开始工作,那么姐姐工作几天,两人所编中国结数量相同?

不太了解2%18%

16、某小区准备新建50个停车位,以解决小区停车难的问题.已知新建1个地上停车位和

1个地下停车位需0.5万元;新建3个地上停车位和2个地下停车位需1.1万元. (1)该小区新建1个地上停车位和1个地下停车位各需多少万元?

(2)若该小区预计投资金额超过10万元而不超过11万元,则共有几种建造方案?

17、“节能环保,低碳生活”是我们倡导的一种

生活方式。某家电商场计划用.118万元购进节能型电

视机、洗衣机和空调共40台。三种家电的进价及售价如右表所示:

(1)在不超出现有资金的前提下,若购进电视机的数量和洗衣机的数量相同,空调的数量不超过电视机数量的三倍,请问商场有哪几种进货方案? (2)在“2013年消费促进月”促销活动期间,商

家针对这三种节能型产品推出“现金购满1000元

送50元家电消费券一张、多买多送”的活动,在(1)

的条件下,若三种电器在活动期间全部售出,商家

预计最多送出消费券多少张?

18、小明家离学校2千米,平时骑自行车上学.这天自行车坏了,小明只好步行上学.已知

小明骑自行车的速度是步行的4倍,结果比平时慢了20分钟到学校.求小明步行和骑自行车的速度各是多少? 19、广州市某中学的一个数学兴趣小组在本校学生中开展主题为“垃圾分类知多少”的专题

调查活动,采取随机抽样的方式进行问卷调查,问卷调查的结果分为“非常了解”、“比较了解”、“基本了解”、“不太了解”四个等级,划分等级后的数据整理如下表:

(1(2)根据表中的数据计算等级为“非常了解” 的频数在扇形统计图6所对应的扇形的圆心角的度数, 并补全扇形统计图.

(3)若该校有学生1500人,请根据调查结果估计这些 学生中“比较了解”垃圾分类知识的人数约为多少?

20、今年初,我省出台了一系列推进素质教育的新举措,提出了“三个还给”,即把时间还给学生,把健康还给学生,把能力还给学生.同学们利用课外活动时间积极参加体育锻炼,小东和小莉就本班同学“我最喜爱的体育项目”进行了一次调查统计,图1和图2是他们通过收集数据后,绘制的两幅不完整的统计图.请你根据图中提供的信息,解答以下问题: (1)求该班共有多少名学生? (2)补全条形图;

(3)在扇形统计图中,求出“乒

乓球”部分所对应的圆心角的度数; (4)若全校有1500名学生,请估

计“其他”的学生有多少名?

21、某校九年级有400名学生参加全国初中数学竞赛初赛,从中抽取了50名学生,他们的初赛成绩(得分为整数,满分为100分)都不低于40分,把成绩分成六组:第一组39.5~49.5,第二组49.5~59.5,第三组59.5~69.5,第四组69.5~79.5,第五组79.5~89.5,第六组89.5~100.5。统计后得到下图所示的频数分布直方图(部分)观察图形的信息,回答下列问题: (1)第五组的频数为 .

(2)估计全校九年级400名学生在69.5~79.5的分数段

的学生约有 个.

(3)在抽取的这50名学生中成绩在79.5分以上的学生组成一个培训小组,再从这个小组中随机挑选2名学生参加决赛,用列表法或树形图法求出挑选的2名学生的初赛成绩恰好都不小于90分的概率.

22、某校将举办“心怀感恩·孝敬父母”的活动,为此,校学生会就全校1 000名同学暑假期间平均每天做家务活的时间,随机抽取部分同学进行调查,并绘制成如下条形统计图.

(1)求样本容量,并估计全校同学在暑假期间平均每天做家务活的时间在40分钟以上(含

40分钟)的人数; (2)校学生会拟在表现突出的甲、乙、丙、丁四名同学中,随机抽取两名同学向全校汇报.请

用树状图或列表法表示出所有可能的结果,并求恰好抽到甲、乙两名同学的概率.

1

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