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周练三

周练三
周练三

练习三

一、选择题

1.在﹣2,+3.5,0,,﹣0.7,11中,负分数有()

A.l个 B.2个C.3个D.4个

2.设x是有理数,那么下列各式中一定表示正数的是()

A.2008x B.x+2008 C.|2008x|D.|x|+2008

3.马虎同学做了以下5道计算题:①0﹣(﹣1)=1;②÷(﹣)=﹣1;③﹣+=﹣(+)=﹣1;④﹣7﹣2×5=﹣9×5=﹣45;请你帮他检查一下,他一共做对了()

A.1题B.2题C.3题D.4题

4.下列说法中①相反数等于本身的数是0,②绝对值等于本身的是正数,③倒数等于本身的数是±1,正确的个数为()

A.3个B.2个C.1个D.0个

5.冬季某天我国三个城市的最高气温分别是﹣10℃,1℃,﹣7℃,它们任意两城市中最大的温差是()

A.11℃B.17℃C.8℃ D.3℃

6.若|a|=﹣a,则有理数a为()

A.正数B.负数C.非负数D.负数和零

7.若|x|=3,|y|=4,则x+y的绝对值是()

A.7或﹣7 B.1或﹣1 C.7或1 D.7,﹣7,1,﹣1

8.如果a+b>0,且ab<0,那么()

A.a>0,b>0

B.a<0,b<0

C.a、b异号D.a、b异号且负数的绝对值较小

9.a,b是有理数,它们在数轴上的对应点的位置如图所示,把a,﹣a,b,﹣b 按照从小到大的顺序排列()

A.﹣b<﹣a<a<b B.﹣a<﹣b<a<b C.﹣b<a<﹣a<b D.﹣b<b<﹣a<a 10.正方形ABCD在数轴上的位置如图所示,点D、A对应的数分别为0和1,若正方形ABCD绕着顶点顺时针方向在数轴上连续翻转,翻转1次后,点B所对应的数为2;则翻转2016次后,数轴上数2016所对应的点是()

A.点C B.点D C.点A D.点B

二、填空题

11.﹣0.5的相反数是,倒数是.

12.一个数的绝对值是4,则这个数是.

13.比﹣1大1的数为.

14.比较大小:

(填“<”、“=”或“>”).

15.如果正午(中午12:00)记作0小时,午后3点钟记作+3小时,那么上午8点钟可表示为.

16.已知是a整数,且﹣3<a<4,则表示a的所有整数的积是.

17.利用分配律可以得﹣2×6+3×6=(﹣2+3)×6=﹣6.如果a表示任意一个有理数,那么利用分配律可以得到﹣2a+3a=()a=.

18.如图所示是计算机某计算程序,若开始输入x=3,则最后输出的结果是.

三、解答题

19.将下列各数在数轴上表示出来,并把它们用“<”连接起来. ﹣(﹣3),0,﹣|﹣1.25|,,﹣2.

20.计算:

(1)(﹣3)+(﹣4)﹣(+11)﹣(﹣19) (2)﹣10﹣8÷(﹣2)×(﹣)

(3)(﹣)×30÷(﹣) (4)(﹣+﹣)×|﹣12|

(5)18×+13×﹣4×. (6)(﹣36)÷9.

21.已知a=﹣4,b=2,求式子的值.

22.有20筐白菜,以每筐25千克为标准,超过或不足的千克数分别用正、负数来表示,记录如下:

(1)20筐白菜中,最重的一筐比最轻的一筐多重多少千克? (2)与标准重量比较,20筐白菜总计超过或不足多少千克?

(3)若白菜每千克售价2.6元,则出售这20筐白菜可卖多少元?(结果保留整数)

23

.根据下面给出的数轴,解答下面的问题:

1

)请你根据图中

A 、B

两点的位置,分别写出它们所表示的有理数A

B : ;

(2)观察数轴,与点A 的距离为4的点表示的数是: ;

(3)若将数轴折叠,使得A 点与﹣3表示的点重合,则B 点与数 表示的点重合;

(4)若数轴上M 、N 两点之间的距离为2016(M 在N 的左侧),且M 、N 两点

经过(3)中折叠后互相重合,则M 、N 两点表示的数分别是:M : N : .

24.出租车司机小李某天上午营运时是在东西走向的大街上进行的,如果规定向东为正,向西为负,他这天上午所接六位乘客的行车里程(单位:km)如下:﹣2,+5,﹣1,+1,﹣6,﹣2,问:

(1)将最后一位乘客送到目的地时,小李在什么位置?

(2)若汽车耗油量为0.2L/km(升/千米),这天上午小李接送乘客,出租车共耗油多少升?

(3)若出租车起步价为8元,起步里程为3km(包括3km),超过部分每千米1.2元,问小李这天上午共得车费多少元?25.观察下列等式:

第1个等式:a1==(1﹣)

第2个等式:a2==(﹣)

第3个等式:a3==(﹣)

第4个等式:a4==(﹣)

请回答下列问题:

(1)按上述等式的规律,列出第5个等式:a5==(2)用含n的式子表示第n个等式:a n==

(3)求a1

+

a2+a3+a4+…+a100的值.

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