走进数学世界单元测试(4)

走进数学世界单元测试(4)
走进数学世界单元测试(4)

走进数学世界单元测试

班级 _______ 学号 _______ 姓名 _____________ 得分 __________

、填空题(每小题 2分,共28分)

1、 一块铸坯可以做 6个零件,6块铸坯截下的边角另料,又可以铸成一块铸坯,算一算,

36块铸坯可以做零件 _______________ 个。

2、 把一个长、宽、高分别是 6厘米、5厘米、4厘米的长方体截成两个长方体后,这两个

长方体的表面积之和最大是 ____________ 平方厘米。

3、 如图,图中每一个小方格都是正方形,那么图中一共有 ________ 个正方形。

4、 各边长都是整厘米数,且周长为 25厘米的等腰三角形总共有 ________ 种。

5、 时钟在3点30分时,时针和分针构成的一个锐角是 _____________ 度。

6、 如图,底边和高都是 6厘米的等腰三角形,分别以高的长为直径画圆,以底边的一半

长为直径画两个半圆,则阴影部分的面积是 _________ (

7、有甲乙丙丁四个钢珠,重量各不相等,用天平两个两个的称,共称

和丙,第二重的是甲和乙,将这四个钢珠按重量从重到轻依次排列出来

&假如20只兔子可换2只羊,9只羊可换3头猪,8头猪可换2头牛, 那么用5头牛 可换 只兔

子。

9、外表看来完全一样的 9只钢球,其中一只是次品,因此质量比正品轻一些。禾U 用一架

天平秤将次品选出,至少应称 ________ 次。 10、如图,长方形硬纸上面有

15个相同的正方形,将它剪成三部分,使每部分都能折成

一个无盖的正方体的盒子,请在第一部分的每个正方形上标出字母

A ,另两部分分别

标出字母B 和C 。

11、理发室里有甲、乙两位理发师,同时来了五位顾客,根据他们所要理的发型,不论哪

位理发师来理都需要 10、12、15、20和24分钟。那么最后理发的顾客至少要等 ________ 分钟才能轮到他理发。

12、 在编号为1?10的十箱零件中,九箱全是正品,一箱全是次品,次品与正品外形完全

相同,正品每只100克,次品每只93克,现从1号箱中取1只,2号箱中取2只,- 10号箱中取10只,称得共重5444克,则 ____________ 号是次品的。 13、 在数表1中,对相邻(上下或左右)两格内的数同时加

上1或减去1叫做一次操作。经过若干次这样的操作后由 表1变为表2,则表2中A 处的数是 ______________ 。 14、 如图,沿图中的虚线折叠,可以围成一个长方体,它的

体积是 _________ 立方厘米。 、选择题(每小题 3分,共30分)

~ 3.14)。

6次,最重的是乙

表1

表2

(第13题)

(第14题)

1下列图形中不可以折成正方体的是

2、一个轮子的半径为

A 、157厘米

3、甲乙两人同时从

小时走4千米,

25厘米,当轮子在地面上沿直线滚动一周时,轮子的圆心移动了

()

B 、314厘米

C 、78.5厘米D

A地出发到B地,甲在一半时间内每小时走

乙在一半路程内每小时走

果到达目的地的情况是

A、无法确定谁先到达

4、在400米标准跑道的体育场中,

第一道的起点向前移

A 8.75 米B

5、有30枚贰分硬币和

A 1种B

乙先到达

跑道宽为

、7.85

8枚伍分硬币,

、2种

、50厘米

5千米,另一半时间内每

5千米,另一半路程内每小时走4千米,结

()

C、甲先到达

D、同时到达

1.25米,400米比赛时,第二道的起点要比

()

、7.25 米 D

C

用这些硬币不能支付

C

6、一块方形豆腐,切三刀最多能切成

A、4块B 、6块

7、一条小虫由幼虫长到成虫,每天长大

天数是

A、2.5 天B 、5 天 &在200个

三角形中,有等腰三角形则不是等腰也

不是直角的三角形有

A、147 个B 、1 33 个

、7块D

倍,10天长到

()

、7天

、6米

1元以下的币值有()

、4种

)

、8块

10厘米,长到2.5厘米需要的

C

53个,直角三角形34个,等腰直角三角形20个,

(

C 、93 个D

9、原计划有600块砖让现有的男孩搬运;后来又来了两位女孩,

男孩比原计划少搬25块;现在有男孩子

A、4个B 、6个C 、8个

10、将8拆成几个整数的和,则这几个数的积最大是

A 、18

B 、16

C 、15

)

、78个

工作量平均分配,每个

()

、10个

()

、12

三、解答题(每小题6分,共42分)

1、李明家有一只母兔,每年春天生2只雄兔和3只小雌兔,每一只小雌兔满三足岁生2

只雄兔和3只小雌兔,问从1990年初到1994年底李明家共有多少只兔?

2、在2X 2的正方形网格中有 A B 、C 、D 四个字母,第一次上下两排交换位置,第二次 左右两

列交换位置,第三次又上下交换,第四次又左右交换,这样一直进行下去,第 100次交换后各字母的位置怎样 ?

3、如图边长为 8cm 的正方形 ABCD 中,E 在BC 上,AE=10cm , DF 丄AE ,求DF 的长。

4、如图,一个瓶子装有一些水,水面咼 8厘米,把瓶子倒过来,无水部分的咼

瓶子的底面直径为10厘米,求瓶子的容积。

5、现有边长为1厘米、2厘米、……、9厘米的9张正方形纸片,都分给小明和小华而没 剩余。

小明分得的纸片总面积不小于小华分得纸片总面积, 为了使两人所得纸片的总

面积尽量接近,请你设计一种分配方案。

A

B

1 * f

13、 =56- 7=8)

A=5,变换过程如图:

m

n m

2 J

J

N N 0 1

E

14、 5X (8-5) X [7-(8-5)]=5 X 3X 4=60(cm 3)

(第 13 题)

6、12棵树,栽成6行,每行4棵,问怎么实现?请画出图形来表示。

参考答案 一、填空题

1、 36X 6+ 36 6+6+1=258+1=259 个

6

2、 208平方厘米

3、 38个正方形

4、 6种

5、 75°

6、 17.325cm 2(提示:S m =S 大圆+S 半圆 + S 半圆-S ^=3.14 X 32+3.14 X 1.5 2-6 X 6 十 2=17.325)

7、 两个两个地称,共称 6次,应该是

乙丙,乙甲,乙丁,甲丙,甲丁,丙丁。

(不一定按顺序排列)

“最重的是乙和丙,第二重的是甲和乙” ,这说明乙丁比乙甲还轻, 即:丙 >甲>丁。又因乙甲〉甲丙,乙〉丙。那么应该是:乙 >丙>甲>丁 8、 600只兔子 9、 2次 10、 (见表) 11、 22分钟

12、 8号(假设全是正品,那么共重(

A B B B B A A A B C

A C C C C

7、大家都玩过七巧板吧,今天让你玩一玩四巧板。

将一个正方形硬纸板按如图的方法分成一样的直角三角形, 几种不同的四边形?请你一一将图形画出来(正方形不算)

这样的四个三角形能拼成

1+2+…+10)X 100=5500, ( 5500-5444 )-( 100-93 )

二、选择题

1、A 2 、A 3 、C 4 、B 5 、D 6 、D 7 、D 8 、B 9 、B 10 、A 简解

9、T 600=1X 600= 2X 300=3X 200= 5X 120=6X 100= 8X 75= 10X 60

= 12X 50=15X 40= 2030= 24X 25

???只有6X 100=8XX 75符合题意,故原男孩有6人(此法为--- 列举法)

10、8=2+3+3 2X 3X 3=18

三、解答题

1、71 只

(3+2) X 3 + (3+2) X 4X 1 + (3+2) X 7X 仁70, 70+仁71

例如小明为1, 5, 6, 9;小华为2, 3, 4, 7, &

(第7题) 00

2、如图,(100+1) - 4余数为1

3、

如图,连结

DE则S^AED = 2 S 正方形送X込32血),? DF=32

X 2* 10=6.4(術) (第3 题)

4、3.14 (1°)2(8 4) =942 (cm?)

5、总面积为:12+22+ +92=285(cm2),两人分别为143 cm2和142 cm2。分配方案不惟一。

到94年有7只

兔有生育能力

(第 2 题)

7, 8;小华为5, 6, 9

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