2019年北京小升初语文数学英语真题及答案

2019年北京小升初语文数学英语真题及答案
2019年北京小升初语文数学英语真题及答案

2019年北京小升初语文真题及答案

一、看拼音写词语。(5分)

yán jùn zhuó yǒuch?ng xiào tóuxián xián guàng chóng shān jùn lǐng

shēn lín qí jìng làn yú chōng shù fān tiān fù dì bō tāo xiōng yǒng cu ìsa yù liú

jiāo —( )带触( ) yì—( )力 ( )制 ( )立

kān —( )测 ( )称 yù—犹( ) 富( ) 忧( )

二、先将成语补充完整,再选择合适的成语填入下面的句子中的横线上。(9分)

气势磅( ) 久( )盛名雄为( )观高朋满( ) 门庭若( ) 琴( )书画深思熟( ) 无所不( ) 温文( )雅回味无( ) ( )飘( )舞 ( )礼( )拜,

( )( )心血 ( )( )而出 ( )( )泪下

1、被称为大自然杰作的黄果树瀑布显得__________,______________

2、哥哥结婚那天,家里好热闹,真是__________,______________

3、我的爸爸真是多才多艺,__________,______________

三、按要求写句子。(4分)

(1)父亲坚决地对母亲说:“我常对你说,这里的工作非常重要,我不能离开”。

改为第三人称转述:

改为带有问号的句子:

(2)我班全体同学通过并讨论了这次诗文诵读计划。(修改病句)。_______________________________________

(3)美仿佛是蓝天上的一朵白云,是沙漠中的一片绿洲。(仿写句子)爱,。

(4)母爱是世界上最伟大的爱,做儿女的怎么能够报答得了母亲的爱呢?这使我们想起了孟郊的诗句。

(5)、年轻而富有才华的音乐家肖邦,满怀悲愤,不得不离开自己的祖国。(缩句)

______________________________________________________________________________ ________

(6)、一捶起来就发狠了,忘情了,没命了!(仿照句式写一排比句)

______________________________________________________________________________ ________

(7)、用上“无论…如果…还是”关联词使句子更完整。

我们工作有多忙时间排得有多紧合理安排好可以把每件事做得井井有条的。

______________________________________________________________________________ ________

四、选词填空,(5分)

屹立矗立耸立 1、人民英雄纪念碑像巨人一样( )在人民广场。

2、中国像巨人一样,巍然( )在世界的东方。

3、大街两旁( )着很高层建筑。

必须必需 1、阳光、空气和水是人们生活的( )品。

2、建造多媒体信息处理系统,( )在系统内设一个“司令部”,这个“司令部”就是“电脑”。

五、给下列句子填上恰当的关联词:(5分)

虽然……但是……只有……才……不但……而且……不管……总……如果……就

1、( )认真学习,( )能取得好成绩。

2、( )你对别人没礼貌,( )别想让别人尊敬你。

3、( )刮风下雨,警察叔叔( )要在路上维持交通秩序。

4、( )鲸的体形像鱼,( )它不属于鱼类。

5、齿鲸( )吃大鱼,( )吃海兽。

六、按要求改写下列句子,(5分)

1、小明家的房屋很小。改为夸张句:

_______________________________________________

2、水电站高高的拦河大坝截住了大量的河水。缩句:

________________________________________

3、李辉指着新鞋对我说:“这双鞋是我叔叔给我买的。”改为转述句:

____________________________________

4、他只要从火星跳出来,就地打几个滚,可以把身上的火扑灭。

改为“被”字句:_________________________________________________

5、(1)教练指导我们。(2)我们排练体操。

把上面两个小句子合并成一个大句子:

________________________________________________________

七、课内阅读(9分)

《跨越百年的美丽》

居里夫人的美名,从她发现镭那一刻起就流传于世,迄今已经百年。这是她用全部的青春、信念和生命换来的荣誉。她一生共得了10项奖金、16种奖章、107个名誉头衔,特别是获得了两次诺贝尔奖。她本来可以躺在任何一项大奖或任何一个荣誉上尽情地享受,但是,她视名利如粪土,她将奖金捐赠给科研事业和战争中的法国,而将那些奖章送给6岁的小女儿当玩具。她一如既往,埋头工作到67岁离开人世,离开心爱的实验室。直到她死后40年,她用过的笔记本里,还有射线在不停地释放。

著名科学家爱因斯坦说过:“在所有的世界著名人物当中,玛丽·居里是唯一没有被盛名宠坏的人。”

1、在文中找出三个带“名”的词语,再根据意思选填到相应的括号里。(3分)

名声( ) 美好的名声( ) 名气和钱财( )

2、“盛名”是名声很大,在居里夫人的一生中,盛名主要体现在哪?(2分)

______________________________________________________________________________ ________________

3、用“”划出居里夫人视名利如粪土的句子。(2分)

4、有时题目就是文章的眼睛,你认为“跨越百年的美丽”中的“美丽”是指什么?(2分)

______________________________________________________________________________ _______________ 课外阅读(16分)

购买上帝的男孩

①一个男孩捏着一美元硬币,沿街一家一家商店地询问:“请问您这儿有上帝卖吗?”店主说没有,嫌他在捣乱。

②天快黑时,第二十九家商店店主(热情热烈)地接待了男孩。老板是个六十多岁的慈眉善目的老头。他笑眯眯地问男孩:“告诉我,孩子,你买上帝干嘛?”男孩流着泪告诉老头,他叫邦迪,父母很早就去世了,是被叔叔帕特鲁普(培养抚养)大的。叔叔是个建筑工人,前不久从脚手(架驾)上摔了下来,至今不省(sheng xing)人事。医生说:“只有上帝才能救他。”邦迪想,上帝一定是个奇妙的东西,我把上帝买回来,让叔叔吃了,伤就会好。

③老头眼圈湿润了,问:“你有多少钱?”“1美元。”“孩子,眼下上帝的价格正好是一美元。”老头接过硬币,拿了瓶“上帝之吻”牌饮料,“拿去吧,孩子,你叔叔喝了这瓶‘上帝’,就没事了。”邦迪喜出望外,将饮料抱在怀里,兴冲冲地回到医院。

④几天之后,一个由世界顶尖医学专家组成的医疗小组来到了医院,对帕特鲁普进行会诊。他们采用世界最先进的医疗技术,终于治好了帕特鲁普的伤。

⑤帕特鲁普伤好出院了,当他看到医疗费账单那个天文数字时,差点吓昏过去。院方告诉他,有个老头帮他把钱全付了。那老头是个亿万富翁,从一家跨国公司董事长的位置退下来后,隐居在本市,开了家杂货铺。那个医疗小组就是他重金请来的。

⑥帕特鲁普激动不已,他立即和邦迪去感谢老头,可老头已经出国旅游去了。

⑦后来,帕特鲁普接到一封老头写来的信。信是6月20日写的,署名是“一个平凡的老人。”信中说:“……我很开心,近况很好……你能有邦迪这个侄儿,实在是太幸运了……真正的上帝,是人们的爱心……”⑴从短文第②自然段的括号中选择正确的读音、汉字和词语,打上“√”。(2分)

⑵从下面选择恰当的关联词语填在文中的横线上。(2分)

不是……就是……不是……而是……不仅……而且……虽然……但是……

⑶读第②、③自然段,回答:

①医生说:“只有上帝才能救他。”这话是什么意思?(2分) ②“男孩流着泪”是因为心情 ;“老头眼圈湿润了”是因为内心。(2分)

③联系下文,想一想:老头为什么说“你叔叔喝了这瓶‘上帝’,就没事了?”(2分)

⑷填空。①从文中的“”一词,我们可以看出老头是一个不喜欢炫耀自己的人。(1分)

②根据老头的善行,你任务可以授予他一个怎样的荣誉称号:。(1分)

⑸按要求写话。

在一次以“感恩和爱心”为主题的十大人物评选活动中,邦迪和老头同时获奖,请你为他们各写几句颁(ban)奖词或评语,要求语言精练、句式工整,不少于20字。(4分)

邦迪:

老头:

课外阅读秋天的怀念(12分)

史铁生

①双腿瘫痪后,我的脾气变的暴怒无常。望着望着天上北归的雁阵,我会突然把面前的玻璃砸碎;听着听着李谷一甜美的歌声,我会猛地把手边的东西摔向四周的墙壁。这时,母亲就悄悄地躲出去,在我看不见的地方偷偷地听着我是动静。当一切恢复沉寂,她又悄悄地进来,眼边红红的,看着我。“听说北海的花儿都开了,我推着你去走走。”她总是这么说。母亲喜欢花,可自从我的腿瘫痪后,她侍弄的那些花都死了。“不,我不去!”我狠命的捶打这两条可恨的腿,喊着:“我可活什么劲!”母亲扑过来抓住我的手,忍住哭声说:“咱娘俩在一块,好好儿活,好好儿活……”可我却一直都不知道,她的病已经到了那步田地。后来妹妹告诉我,她经常肝疼得整宿(sù xi? xiù)翻来覆去的睡不了觉。

②那天我又独自坐在屋里,看着窗外的树叶“刷刷啦啦”的飘落。母亲进来了,挡在窗前:“北海的菊花开了,我推你去看看吧。”她憔悴的脸上显出央求般的神色。“什么时候?”“你要是愿意,就明天?”她说。我的回答已经让她喜出望外了。“好吧,就明天。”我说。她高兴的一会儿坐下,一会站起来:“那就赶紧准备准备。”“唉呀,烦不烦?几步路,有什么好准备的!”她也笑了,坐在我的身边,絮絮叨叨地说着:“看完菊花,咱们去‘仿善’,你小时候最爱吃那儿的豌豆黄儿。还记得那回我带你去北海吗?你偏说那杨树花是毛毛虫,跑着,一脚踩扁一个……”她忽然不说了。对于“跑”和“踩”一类的字眼她比我还敏感。她又悄悄地出去了。

③她出去了,就再也没回来。

④邻居把她抬上车时,她还在大口大口地吐着鲜血。我没想到她已经病成那样。看着三轮车远去,也决没有想到那竟是永远的诀别。

⑤邻居的小伙子背着我去看她的时候,她正艰难地呼吸着,像她艰难的一生。别人告诉我,她昏迷前的最后一句话是:“我那个有病的儿子和我那个还未成年的女儿……”

⑥又是秋天,妹妹推着我去北海看了菊花。黄色的花淡雅,白色的花高洁,紫红色的花热烈而深沉,活泼洒洒,秋风中正开得烂漫。我懂得母亲没有说完的话,妹妹也懂。我俩(li? li?ng)在一块儿,好好儿活……

1、用“√”给问中的加点字选择正确的读音。(1分)

2、整篇文章中洋溢着一种伟大的母爱。哪些地方的描写最让你感动?请用“——”在文中画出来,并把理由写下来。(2分)

______________________________________________________________________________ ___

3、读读第②自然段中的画浪线的句子,回答问题。(1+1.5+1.5=4分)

①这段话描写的是什么季节的事情?___________________

②母亲挡在窗前不想让“我”看到什么?_____________________________________

③她为什么要带“我”到北海去看菊花?_____________________________________

④说说文章为什么用“秋天的怀念”作题目。(2分)

_____________________________________

⑤读了这篇文章,你一定会深受感动。请说说你对“好好儿活”的感悟和理解。(3分)

______________________________________________________________________________ ______________________________________________________________________________ _____________________________

八、习作(30分)

从《我爱老师》《我和老师》《我的老师》三个题目中任选一题写作文。(30分)

小升初语文参考答案

基础知识一、严峻,卓有成效,头衔,闲逛,崇山峻岭,身临其境,滥竽充数,翻天覆地,

波涛汹涌,翠色欲流,胶礁,毅抑屹,勘堪,豫裕郁

二、礡,负,壮,座,市,棋,虑,能,尔,穷,襟带,顶膜,枉费(毕生)(倾注),喷薄(挺身)(脱口) (鱼贯)(脱颖)(倾巢)(夺眶)(破门),潸然

1、气势磅礴,雄伟壮观

2、高朋满座,门庭若市

3、琴棋书画,无所不能

三、1、父亲坚决地对母亲说,这里的工作非常重要,他不能离开。

父亲坚决地对母亲说,这里的工作非常重要,他怎能离开呢?

2、我班全体同学讨论并通过了这次诗文诵读计划

3、略

4、谁言寸草心报得三春晖。

5、肖邦离开祖国

6、略。

7、无论我们工作有多忙,时间排得有多紧如果合理安排好,就可以把每件事做得井井有条的。

四、耸立屹立矗立,必需必须

五、只有才,如果就,不管总,虽然但是,不但而且

六、1、小明家的房屋只有巴掌大小。

2、拦河大坝截住了河水。

3、李辉指着新鞋对我说,这双鞋是他叔叔给他买的。

4、他只要从火星跳出来,就地打几个滚,身上的火就可以被扑灭。

5、教练指导我们排练体操。

七、课内阅读《跨越百年的美丽》

1、名誉,美名,名利

2、居里夫人的美名,从她发现镭那一刻起就流传于世,迄今已经百年。这是她用全部的青春、信念和生命换来的荣誉。她一生共得了10项奖金、16种奖章、107个名誉头衔,特别是获得了两次诺贝尔奖。

3、她视名利如粪土,她将奖金捐赠给科研事业和战争中的法国,而将那些奖章送给6岁的小女儿当玩具

4、美丽是指的居里夫人在盛名环绕中依旧保持自己的高尚人格

课外阅读:

购买上帝的男孩

1、略

2、不是就是,虽然但是

3、医生是没有办法救的了。只能靠自己的意志了! 希望上帝创造奇迹。

2019年北京小升初数学真题及答案

一、选择题:

1.(3.00分)长方体体积一定,底面积和高()

A.成正比例 B.成反比例 C.不成比例

2.(3.00分)将3克药放入100克水中,药与药水的比是()

A.3:97 B.3:100 C.3:103

3.(3.00分)小华今年a岁,小芳比小华大2岁,再过3年后小华比小芳小多少岁?()A.a+3 B.5 C.2

4.(3.00分)如图是“东方”超市面中“飘柔”洗发水的价格标签,一服务员不小心将墨水滴在标签上,使得原价看不清楚,请帮忙算一算.该洗发水的原价()

A.22元B.23元C.24元

5.(3.00分)如图是我校初一学生到校方式的条形统计图,根据图可得出步行人数占总人数的()

A.20% B.30% C.50% D.60%

6.(3.00分)我们知道相同加数可以写成乘法,如:5+5+5+5+5+5=5×6,这样可以给我们解决问题带来方便,其实相同因数的乘法也可以写成乘方的形式,如5×5×5×5=54,那么根据上述提示计算33=()

A.3 B.6 C.9 D.27

7.(3.00分)一件商品原来售价是a元,降价10%进行促销,促销一段时间后又提价10%再出售,提价后这种商品的价格是()元.

A.0.99a

8.(3.00分)足球比赛的计分规则是:胜一场得3分,平一场得1分,负一场得0分.一队打14场,负5场,共得19分,那么这个队共胜了()

A.6场B.5场C.4场D.3场

9.(3.00分)把5件相同的礼物全部分给3个小朋友,使每个小朋友都分到礼物,分礼物的不同方法一共有()种.

A.3 B.4 C.5 D.6

10.(3.00分)如图所示,在一块木板上钉上9颗钉子,每行和每列的距离都是一样的,在钉子的顶点拉上橡皮筋,组成1个正方形,这样的正方形共有()

A.7个B.6个C.5个D.4个

二、填空题:

11.(3.00分)把354086000改写成“万”作单位的数是,四舍五入到“亿”位是.

12.(3.00分)工地上有a吨水泥,每天用去3.5吨,用了b天.用式子表示还剩的吨数是吨.

13.(3.00分)甲乙两数的比是2:5,乙数与甲数的差是10.5,乙数是.14.(3.00分)一个直角三角形两个锐角度数的比是2:1,这两个角分别是度和度.

15.(3.00分)甲乙两地相距20千米,在一幅地图上量得它们之间的距离是4厘米,这幅地图的比例尺是.

16.(3.00分)麦迪在一次比赛中22投14中得28分,除了3个三分球全中外,他还投中了个两分球和个罚球.

17.(3.00分)算式中的□和△各代表一个数.已知:(△+□)×0.3=4.2,□÷0.4=1.2那么,△= ,□= .

18.(3.00分)观察下列图形:

它们是按一定规律排列的,依照此规律,第8个图形共有枚五角星.

19.(3.00分)如图是甲、乙、丙三个人单独完成某项工程所需天数统计图.请看图解决问题.

①如果甲、乙合作这项工程,多少天可以完成?

②如果先由甲做3天,剩下的工程由丙做,还需要多少天完成?

20.(3.00分)图中3×2方格中有许多四边形,把所有四边形数字的和相加,其值是.

21.(3.00分)99个苹果要分给一群小朋友,每个小朋友分得的苹果数都要不一样,且每个小朋友都至少要有一个苹果,则这群小朋友最多有位.

22.(3.00分)在50人的班级中,组织了3个课外活动小组,其中参加体育组的25人,参加音乐组的25人,参加美术组的22人;同时参加音乐、体育两组的11人,同时参加音乐、美术两组的10人,同时参加美术、体育两组的9人,三组都参加的5人,试问在这个班级中这3个小组都未参加的有人.

四、列综合算式或方程解.

23.(4.00分)(1)2.2与0.2的和除以它们的差,商是多少?

(2)一个数的比30的2倍还少4,这个数是多少?

24.(5.00分)一个正方体6个面上分别写着1,2,3,4,5,6,根据下图摆放的三种情况,判断每个数字对面上的数字是几.

25.(5.00分)如图,A、B两个平行四边形纸片部分重叠,所占面积为160cm2,A的面积为120cm2,B的面积为74cm2,求重叠部分(图中阴影部分)的面积.

五、应用题

26.(6.00分)一台彩电现在的售价是1480元,比原来降低了120元,现在的售价是原价

的百分之几?

27.(6.00分)小明看一本故事书,如果每天看15页,12天可以看完.如果每天看18页,多少天可以看完?(用比例知识解)

28.(6.00分)美化城市,改善人们的居住环境已成为城市建设的一项重要内容.某市区近几年来,通过拆迁旧房,植草,栽树,修建公园等措施,使城区绿地面积不断增加根据图中所提供的信息,回答下列问题:2001年底的绿地面积为公顷,比2000年底增加了公顷;

在1999年,2000年,2001年这三年中,绿地面积增加最多的是年,2001年的绿地面积是1998年的绿地面积的倍.

29.(6.00分)一项工程由甲单独做需12天完成,由乙单独做需8天完成,若两人合作3天,剩下部分由乙单独完成,乙还需做多少天?

30.(6.00分)小红今年1月1日所积攒的1000元零用钱存入银行,定期二年.小红准备到期后把利息捐赠给“希望工程”.如果年利率按2.70%计算,到期时可获得利息多少元?(利息按5%纳税)

31.(6.00分)(1)某文艺团体组织一场义演,售出成人票和学生票共1000张,筹得票款5950元.若成人票7元/张,学生票4元/张,求成人票和学生票各售出多少张?(2)若(1)中票价不变,售出1000张票,所得票款数能否为5930元?为什么.

参考答案与解析

一、选择题:

1.(3.00分)长方体体积一定,底面积和高()

A.成正比例 B.成反比例 C.不成比例

【解答】解:长方体的底面积×高=长方体的体积(一定),

可以看出,长方体的底面积和高是两种相关联的量,长方体的底面积随高的变化而变化,长方体的体积一定,

也就是长方体的底面积和高的乘积一定,所以长方体的底面积和高是成反比例关系.

故选:B.

2.(3.00分)将3克药放入100克水中,药与药水的比是()

A.3:97 B.3:100 C.3:103

【解答】解:3:(3+100),

=3:103;

答:药和药水的比是3:103;

故选:C.

3.(3.00分)小华今年a岁,小芳比小华大2岁,再过3年后小华比小芳小多少岁?()A.a+3 B.5 C.2

【解答】解:根据题意,小芳与小华的年龄差是2岁,这是一个不变量,所以再过3年后,他们两人还是相差2岁,则再过3年后小华比小芳小2岁.

故选:C.

4.(3.00分)如图是“东方”超市面中“飘柔”洗发水的价格标签,一服务员不小心将墨水滴在标签上,使得原价看不清楚,请帮忙算一算.该洗发水的原价()

A.22元B.23元C.24元

【解答】解:19.2÷80%=24(元)

答:该洗发水的原价是24元.

故选:C.

5.(3.00分)如图是我校初一学生到校方式的条形统计图,根据图可得出步行人数占总人数的()

A.20% B.30% C.50% D.60%

【解答】解:150÷(30+120+150)

=150÷300

=50%.

答:步行人数占总人数的50%.

故选:C.

6.(3.00分)我们知道相同加数可以写成乘法,如:5+5+5+5+5+5=5×6,这样可以给我们解决问题带来方便,其实相同因数的乘法也可以写成乘方的形式,如5×5×5×5=54,那么根据上述提示计算33=()

A.3 B.6 C.9 D.27

【解答】解:33=3×3×3=27;

故选:D.

7.(3.00分)一件商品原来售价是a元,降价10%进行促销,促销一段时间后又提价10%再出售,提价后这种商品的价格是()元.

A.0.99a

【解答】解:a×(1﹣10%)×(1+10%)

=a×90%×110%,

=99%a.

答:提价后这种商品的价格是99%a元.

故选:A.

8.(3.00分)足球比赛的计分规则是:胜一场得3分,平一场得1分,负一场得0分.一队打14场,负5场,共得19分,那么这个队共胜了()

A.6场B.5场C.4场D.3场

【解答】解:设共胜了x场,由题意得:

3x+(14﹣5﹣x)=19,

3x+9﹣x=19,

2x=10,

x=5,

答:这个队共胜了5场.

故选:B.

9.(3.00分)把5件相同的礼物全部分给3个小朋友,使每个小朋友都分到礼物,分礼物的不同方法一共有()种.

A.3 B.4 C.5 D.6

【解答】解:每个小朋友都分到礼物,至少有一件礼物,最多3件礼物,这样,分发有:(1,2,2)、(2、2、1)、(2,1,2)、(3,1,1)、(1,3,1)、(1,1,3),共6种.

答:分礼物的不同方法一共有6种;

故选:D.

10.(3.00分)如图所示,在一块木板上钉上9颗钉子,每行和每列的距离都是一样的,在钉子的顶点拉上橡皮筋,组成1个正方形,这样的正方形共有()

A.7个B.6个C.5个D.4个

【解答】解:在平面上图形,可以看出:设最小的正方形边长为1.

那么,边长为1的:4个.

边长为2的:1个.

边长为的:1个.

所以一共4+1+1=6个.

故选:B.

二、填空题:

11.(3.00分)把354086000改写成“万”作单位的数是35408.6万,四舍五入到“亿”位是4亿.

【解答】解:354086000=35408.6万;

354086000≈4亿;

故答案为:35408.6万,4亿.

12.(3.00分)工地上有a吨水泥,每天用去3.5吨,用了b天.用式子表示还剩的吨数是(a﹣3.5b)吨.

【解答】解:还剩的吨数为:(a﹣3.5b)吨.

故答案为:(a﹣3.5b).

13.(3.00分)甲乙两数的比是2:5,乙数与甲数的差是10.5,乙数是17.5 .

【解答】解:10.5÷(5﹣2)×5,

=10.5÷3×5,

=3.5×5,

=17.5;

故答案为:17.5.

14.(3.00分)一个直角三角形两个锐角度数的比是2:1,这两个角分别是60 度和30 度.

【解答】解:90°×=60°,

90°﹣60°=30°;

答:这两个角分别是60度和30度.

故答案为:60、30.

15.(3.00分)甲乙两地相距20千米,在一幅地图上量得它们之间的距离是4厘米,这幅地图的比例尺是1:500000 .

【解答】解:因为20千米=2000000厘米,

则4厘米:2000000厘米=1:500000;

答:这幅地图的比例尺是1:500000.

故答案为:1:500000.

16.(3.00分)麦迪在一次比赛中22投14中得28分,除了3个三分球全中外,他还投中了8 个两分球和 3 个罚球.

【解答】解:设投2分球x个,那么罚球(14﹣3﹣x)个,

依题意得:2x+(14﹣3﹣x)+3×3=28,

2x+11﹣x+9=28,

x=8,

所以罚球个数为:14﹣3﹣8=3;

答:他还投中了8个两分球和3个个罚球.

故答案为:8,3.

17.(3.00分)算式中的□和△各代表一个数.已知:(△+□)×0.3=4.2,□÷0.4=1.2那么,△= 13.52 ,□= 0.48 .

【解答】解:因为,□÷0.4=1.2,

所以,□=1.2×0.4=0.48,

又因为,(△+□)×0.3=4.2,

所以,△+□=4.2÷0.3=14,

即,△=14﹣□=14﹣0.48=13.52,

所以,△=13.52,□=0.48,

故答案为:13.52 0.48.

18.(3.00分)观察下列图形:

它们是按一定规律排列的,依照此规律,第8个图形共有25 枚五角星.

【解答】解:依题意得

第一个图形有4枚,第二个有7枚,第三个有10枚,第四个有13枚,是依次多3枚,

所以第n个图形共有:3n+1枚.

当n=8时,一共有:3×8+1=25(枚),

答:第8个图形共有25枚五角星

故答案为:25.

19.(3.00分)如图是甲、乙、丙三个人单独完成某项工程所需天数统计图.请看图解决问题.

①如果甲、乙合作这项工程,多少天可以完成?

②如果先由甲做3天,剩下的工程由丙做,还需要多少天完成?

【解答】解:①1÷(+)

=1÷,

=8(天);

答:甲、乙合作这项工程,8天可以完成.

②(1﹣3)

=,

=20(天).

答:剩下的工程由丙做,还需要20天完成.

20.(3.00分)图中3×2方格中有许多四边形,把所有四边形数字的和相加,其值是148 .

【解答】解:一个小四边形数字的和是1+5+3+2+6+4=21,

2个小四边形组成的四边形数字的和是1+5+5+3+2+6+6+4+1+2+5+6+3+4=53,

3个小四边形组成的四边形数字的和是1+5+3+2+6+4=21,

4个小四边形组成的四边形数字的和是1+5+2+6+5+6+3+4=32,

6个小四边形组成的四边形数字的和是1+5+3+2+6+4=21.

21+53+21+32+21=148.

答:其值是148.

故答案为:148.

21.(3.00分)99个苹果要分给一群小朋友,每个小朋友分得的苹果数都要不一样,且每个小朋友都至少要有一个苹果,则这群小朋友最多有13 位.

【解答】解:要使这群小朋友最多,必须使得每个小朋友分得的个数尽量少,相差的个数也应最小为1;

因为1+2+3+…+12+13,

=(1+13)×13÷2,

=91(个);

1+2+3+…+12+13+14,

=(1+15)×14÷2

=105(个);

91<99<105,

所以这群小朋友最多有13位.

故答案为:13.

22.(3.00分)在50人的班级中,组织了3个课外活动小组,其中参加体育组的25人,参加音乐组的25人,参加美术组的22人;同时参加音乐、体育两组的11人,同时参加音乐、美术两组的10人,同时参加美术、体育两组的9人,三组都参加的5人,试问在这个班级中这3个小组都未参加的有 3 人.

【解答】解:50﹣[(25+25+22)﹣(11+10+9)+5]

=50﹣[72﹣30+5],

=50﹣47,

=3(人).

答:这个班级中这3个小组都未参加的有23人.

故答案为:3

四、列综合算式或方程解.

23.(4.00分)(1)2.2与0.2的和除以它们的差,商是多少?

(2)一个数的比30的2倍还少4,这个数是多少?

【解答】解:(1)(2.2+0.2)÷(2.2﹣0.2),

=2.4÷2,

=1.2;

答:商是1.2.

(2)(30×2﹣4)÷,

=56×,

=64;

答:这个数是64.

24.(5.00分)一个正方体6个面上分别写着1,2,3,4,5,6,根据下图摆放的三种情况,判断每个数字对面上的数字是几.

【解答】解:根据正方体的特征知,相邻的面一定不是对面,

因为3和1,2,4,6相邻,所以只能和5相对,

因为1和2,3,6相邻,只能和4,5相对,又因为已经3和5相对了,所以只能是1和4相对,

剩下就还有2和6了,所以2和6相对,

即面“1”与面“4”相对,面“2”与面“6”相对,“3”与面“5”相对.

即:1对4,2对6,3对5.

25.(5.00分)如图,A、B两个平行四边形纸片部分重叠,所占面积为160cm2,A的面积为120cm2,B的面积为74cm2,求重叠部分(图中阴影部分)的面积.

【解答】解:120+74﹣160

=194﹣160

=34(cm2).

答:重叠部分的面积是34cm2.

五、应用题

26.(6.00分)一台彩电现在的售价是1480元,比原来降低了120元,现在的售价是原价的百分之几?

【解答】解:1480÷(1480+120),

=1480÷1600,

=92.5%;

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