上外附中入学面试口奥真题集
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2023年上外附中小升初面试题英语卷40分,数学30分,语文20 分,总分90 分。
英语和数学以及部分,都有最低分限制的。
三项全达标,才有也许通过面试。
5月8日公布录取招生面谈号5月13日报到学生面谈情况范围广泛,考到了时事热点。
面谈试题卷二常识1、一副青海省的地形图,问,该省的上面是什么省?2、今年青海省的( )地区曾经发生过地震。
3、父母想带你去看极光,你认为去哪里可以看到美丽的极光?A、柬埔寨南部;B、加拿大北部;C、法国北部;D、澳大利亚南部4、在基因巧合下,你穿越到中国20世纪70年代,你作为一名运动员最有也许以哪种运动形式出访美国?A、足球;B、篮球;C、乒乓球;D、网球语文1、有一张图片描绘一个古代女子正在弹古琴,问史图描绘情景是:A、锦城丝管日纷纷,半入江风半入云;B、嘈嘈切切错杂弹,大珠小珠落玉盘;2、B句是白居易的《琵琶行》,是他在()唐时写的。
3、阅读(大意)我做事总是得过且过。
有一天晚上,我和丈夫参与完宴会,在回家的路上,整个城市都熟睡了。
路上没有车,亍是我和丈夫准备闯红灯。
合法这时,一对老夫妇喝住了我们。
我解释道:“我看路上没有车,所以……”老先生吼道:“没有车也丌行!这是交通法则,你不能违反。
”我很羞愧。
在后来,我经常打心底感谢这对老夫妇,由于他们让我改正了“得过且过”的毛病。
1)朗读第4、5 小节(斜体字部分)2)划单横线部分运用了什么修辞手法?它的2 个作用是什么?3)这对老夫妇改正了我什么样的毛病?数学1、在0、3、4、9、10 中选择填空,那么,n=8+()*()+()+()时,n 的最小值是多少。
2、AD=6cm,AB=10cm,三角形ABC=60平方厘米,尚有一个条件。
求:三角形BDF 的面积。
3、大女儿回家需要5 天,二女儿回家需要7 天,三女儿住在南方,回家需要十几天,问三个女儿汇合要几天。
4、A 和B都是自然数,并且A*B=48,A>B,则A-B最小值=?5、扫雷题英语1、快速应答,3个(1)Good morning!2、听4个单词,听完后复述(1)though ()()finally(2)连词成句3、猜谜语,共四个(1)What can run,but never walk?(2)What has a mouth,but never talk?4、模仿(1)2个单词,听一遍(2)一句句子,听2遍(3)一句句子,听2遍后模仿语音语调5、听短文2遍,回答4个问题(在录音机中)短文关于一个人在9月份到一个学校,他在学校的所见所闻。
上外附中面试题
1. 自我介绍
请以自我介绍开始,简单说一下自己的姓名、年龄、就读学校以及兴趣爱好等方面的内容。
同时,可以适当陈述自己的优势和特长,以便面试官更好地了解你。
2. 学术方面问题
•你觉得自己在哪些学科上有优势?
•是否参加过学科竞赛或获得过相关学科的奖项?
•理科与文科,你更喜欢哪个方向?
•介绍一下你在学术方面的研究或项目经历。
3. 课外活动与社团参与
•你参加过哪些课外活动或社团?
•是否担任过社团干部或有其他相关经历?
•如果你担任过领导职务,请分享一下你的领导风格和取得的成绩。
4. 个人成就与经验
•你在什么方面取得过个人成就?
•是否有过国内或国际性的比赛获奖经验?
•如果你曾经参加过特殊项目或经验,可以详细介绍一下。
5. 领导与沟通能力
•你是否有过领导经验?
•你在项目组织或团队合作中的角色是什么?
•你如何处理与队员或团队成员的沟通与冲突?
6. 未来规划与动力
•你对于将来的规划是怎样的?
•为什么想要进入上外附中?
•进入上外附中后,你有什么样的学习和发展期望?
7. 一般性问题
•你是否有任何问题向面试官咨询?
•你在面试中有何期望和希望?
结语
上述问题仅供参考,面试官可能根据实际情况提出其他问题。
在面试过程中,请保持自信、冷静,并且真实地回答问题。
面试官更看重你的思考能力和个性特质,通过面试,他们希望了解你是否适合进入上外附中这样的高水平学府。
愿你顺利通过面试,实现自己的学业与职业目标!。
上外附中初中招生面谈考试综合卷
1、把20层楼称为0层,则15层楼为-5层,26层楼为+6层,那么+14层是第()层楼。
2、“上外5附中5真6好”的任意相邻3个数的和为20,那么上+外+附+中+真+好=()。
3、长方形对折后,非重叠部分总面积为8,长方形的总面积是折叠后总面积的1.6倍,那么折叠后重叠
部分的面积为()。
4、米奇和小伙伴们去寻找宝藏,宝藏图为一九宫格,左上角为“开”键,其余8个格子分别写着下一步的移动方法,例如“下1”,即下移一格;“左2”,即左移2格。
那么米奇第一次按了第()行第()列的键,根据移动方法的指示,可以遍历整个九宫格,最后落于左上角“开”键,打开宝箱。
5、求出一个数的位数和,再求出位数和的位数和,之后不停地求位数和直至一位数,如果这个一位数是
5,那么原数称为“武”数,那么1~2014从大到小排列的第4个“武”数为()。
1。
上外附中小升初英语口试模拟试题(5)Part One: Make quick responses to the sentences you have heard.1.When is your birthday?2. What’s your hobby?3. You looks so tired today.4. How often do you visit your friends?5.The weather is so terrible today!part two:listen carefully to the words i read,then i will ask you to repeat some of them.each you should repeat twice.because, blue,fresh, cinema,worry, successquestion:what is the second and the fourth ?part three:listen carefully to the sentence i read,then i will ask you to repeat it.each you should repeat twice.Do one thing at a time, and do well.Part four: Read aloud the following passage. You will have one minute to prepare and thirty seconds to read.It was very fine today. It was neither too hot n___ too cold.He Song and I went to Beijing Zoo in the morning. The animals were so i______ that everyone liked them very much.We watched the bears for a long time. They were really lovely. One of them was standing and opening the mouth. A_____ of them was sitting on the ground and waving its arm like saying hello to us. The other two guys were boxing. We had a good laugh at it. But at that time I saw a visitor throwing food to them. I ran up to him and s_____ him, because some of the animals had been hurt by the food given by visitors.All the animals are our friends. Take good c____ of them if we really love them.Part five: Part five: listen to the passage and then answer the questions orally.The world is not hungry , but it is thirsty . It seems strange that nearly 3/4 of the earth is covered with water while we say we are short of (短缺) water. Why? Because about 97% of water on the earth is sea water which we can't drink or use for watering plants directly (直接地) . Man can only drink and use the 3% - the water that comes from rivers and lakes. And we can't even use all of that, because some of it has been polluted (污染) .Now more water is needed. The problem is: Can we avoid (避免) a serious water shortage later on? First, we should all learn how to save water. Secondly, we should find out the ways to reuse it . Scientists have always been making studies in the field. Today, in most large cities water is used only once and then runs to the sea or rivers . But it can be used again. Even if (即使) every large city reused its water, still there would not be enough. What could people turn to next?The sea seems to have the best answer. There is a lot of water in the sea. All that needs to be done is to get the salt out of the sea water. This is expensive, but it's already used in many parts of the world. Scientists are trying to find a cheaper way of doing it. So you see, if we can find a way out, we'll be in no danger of drying up.1.Why the world is thirsty?Because about 97% of water on the earth can't be drunk or used for wateringplants directly2.What percentage of water on the earth is sea water?About 97% of water on the earth is sea water3.To avoid the serious water shortage , what is the most importan t?Try to find a cheaper way to get the salt out of the sea water.Part six: You will have one minute to prepare and another minute to tell the story which contains at least five sentences by using 5 words given as following.The Spring Festival,New Year's Eve, couplets(对联), firecrackers ,red packets , Family reunion [riː'juːnjən]dinner(年夜饭), pay New Year's call(拜年)Part seven: Part five: listen to the passage and then answer the questions orallyIt is a nice family. Mr Li is a doctor . Mrs Wang is a nurse. They work in the same hospital. They have a lovely daughter. In the morning , Mr Li and Mrs Wang go to work by car. Their daughter goes to school on foot. She has lunch at school and comes home at four in the afternoon . Her parents come home from hospital at half past five. After dinner , the girl does her homework . Mr Li reads newspaper. Mrs Wang watches TV. Sometimes the whole family play badminton in the park. What a happy family !( )1.The parents work in the same hospital.( )2. Mr Li and Mrs Wang go to work by bus.( )3.The boy has lunch at school.( )4.After dinner, Mr Li watches TV.( )5.Sometimes they all play badminton in the park.Part eight: You will have one minute to prepare and another minute to talk about the following pictures. Begin your talk with the topic given:" Growing Pains and Gains"1 一个戴深度近视眼镜的女孩面对一大堆的作业。
综合班错题整理1、甲乙两车同时从AB两站出发,两车第一次相遇时,甲车行了100千米,两车相遇后继续前进,分别到达B站和A站后,立即又以原速返回,当两车第二次相遇时,甲车离A站70千米,则AB两站的距离是多少?2、999+99.9+9.99+0.9993、小张和小王以一定速度在周长为360米的环形跑道上跑步。
小王的速度是小张速度的两倍,小张与小王同时从同一地点出发,反向跑步,60秒后两人第一次相遇,小张的速度是多少米/分?4、甲乙两人手里各有一些画片,如果甲给乙6张画片,则他们手里的画片数相等,如果乙给甲6张画片,则甲的画片是乙的4倍,甲原有画片几张?5、一根竹竿比5米长,小明从左测量到3米长处做一个记号A,再从右端测量到3米处作一个记号B。
这时,他发现AB之间的长度恰好是全长的20%,这要竹竿长度是多少米?6、甘地出租车行1千米收费3元。
甲乙丙三人约定:由甲在A地租辆出租车,途中乙在B地上车,丙在其后的C地上车,三人同时在D 地下车。
已知AB=BC=CD=10千米,出租车按规定收费90元,那么这笔车费由甲乙丙三人按乘车的路程合理分摊,甲应付多少元?7、商店用同样的费用购进甲乙两种不同的糖,甲糖每公斤18元,乙糖每公斤12元,如果将两种糖混合起来卖,要卖多少钱一公斤?8、由数字1、2、4、6、7、8共可组成多少个无重复数字的四位奇数?9、2005-2004-2003-2002+2001+2000……-7+6+5+4-3-2+1=?10、从北京开往广州的列车长350米,每秒钟行25米,从广州开往北京的列车长280米,每秒行20米。
两车在途中相遇,从车头相遇到车尾离开需要多少秒?11、BE=1/3BC,CD=1/4AC,三角形AED的面积是ABC面积的几分之几?12、兄弟二人同时从学校和家中出发,相向而行,哥哥每分钟行120米,5分钟后哥哥已超过中点50米,这时兄弟两人还相距30米,问弟弟每分钟行多少米?13、一次会餐有三种饮料,餐后统计,三种饮料共用了65瓶,平均每2人饮用一瓶A饮料,每3人饮用一瓶B饮料,每4人饮用一瓶C 饮料,问有几人参加会餐?14、一辆车从甲地开往乙地,每分钟行750米,50分钟可到,行驶了全程的3/5时,出故障了,用5分钟修理完,如果要在预定时间内到达乙地,需要加速几米/分?15、甲乙两地的距离是600千米,上午8:30客车以每小时60千米的速度从甲地开往乙地。
精品文档上外附中小升初英语口试模拟试题Part One: Make quick responses to the sentences you have hea 共.3 分)1.lt usually takes eight hours to travel from New York to Chicago by train.A train left New York more tha n ten hours ago.Why did it not come?2. Who are the two brothers that live on opposite sides of the road but never see each other?3. Kate is 12 years old.Two yesrs ago, she was twice as old as her brother Jim.How old is Jim now?part two:listen carefully to the words i read,then i will ask you to repeat some of them.each you should repeat twice 共4分)probably exchange exciting examine experiment finally fireworkQuestion:What is the second and the fourth ?part three:listen carefully to the sentencei read,then i will ask you to repeat it.each you should repeat twice共2分)The important thing in life is to have a great aim, and the determination to attain it .Part four: Read aloud the following passage.You will have one minute to prepare and thirty seconds to read.(共6 分)Like fine food, good writing is something we enjoy. And good writers, like good cooks, have to have a s ____________ training to have the skills of writing, so the writermust sit at his desk and take long _____ to achieve a style样式)in his writing, for schoolwork, bus in ess, or social com muni cati on. You may be sure that the more effort(努力)we make, the more effective the writi ng is.There are s ______ some faraway places in the world where you might find apublic scribe(抄写员)to do your bus in ess or social writ ing for you, for mon ey. There are a few managers who are lucky e __________ to have the service of that kind ofsecretary who can take care of all kinds of letters writ ing with no more tha n a quick note to work from. But for most of us, if there is any writing to be done, we have to do it o .We have to write school papers, bus in ess papers or home papers. And it would be difficult to c _______ t he nu mber of such words, messages, letters, and reports. Whatis more, every one who writes hopes w _____ he writes will be read, from first wordto last, not just thrown into letter-to-be-read files or into a wastepaper basket. This is the reason we bend our efforts toward learning and practicing the skills of interesting, effective writi ng.Part five: Part five: listen to the passage and then answer the questions orall^( 5分)fromFrom the first day he entered my junior-high classroom, Willard P. Franklin existed in his own world, shutt ing out his classmates and teachers. Even a “ Good Morningp WNiard class teacher, received only a word “ Morning ”His classmates could get the same reply, too .精品文档Willard was completely a loner who seemed to have no desire or need to break his barrier of sile nee.Shortly after the Thanksgiving holiday, we received the word of the annual Christmas eolleetion of money for the less fortun ate people in our school district.“ Christmas is a seas on of givi ng, ” I told my stude nts. “ There are a few stude nts in the school who might not have a happy holiday seas on. By con tribut ing to our Christmas collect ion, you will help buy food, clothing and toys for these needy people. We start the collection tomorrow.When I called for the con tributi ons the next day, I discovered that almost every one had forgotte n, except for Willard P. Fran kli n. The boy dug deep into his pants pockets as he strolled up to my desk. Carefully, he dropped two quarters into the small container.“I don ' t need any milk for lunch, ” he said very quietly. For a moment, just a moment, he smiled. Then he tur ned and walked back to his desk.After school, I took our meager contributions to the school principal. I couldn ' t help sharing the in cide nt that had take n place.“I may be wrong, but I believe Willard might be getting ready to become a part of the world around him, ” I told the prin cipal.“Yes, I believe it sounds hopeful, ” he nodded. “And I think that we might do well to have him share a bit of his world with us. I just received a list of the poor families in our school who most n eed help through the Christmas collect ion. Here, take a look at it. ”As I gazed down to read, I found Willard P. Franklin and his family were the top names on the list.Questio n:1. Which word did Willard P. Franklin ' s teacher and his classmates get from him?2. Is Christmas a seas on of givi ng?3. When did Willard P. Franklin ' s class receive the word of the annual Christmas collection ofmon ey?4. What' s your opinion of Willard P.Franklin after you read this story?Part six: You will have one minute to prepare and another minute to talk about the following pictures. Begin your talk with the sentencegiven: " Itwas March the eighth that day, Women sDay. LiHua had a good idea and told his father that …精品文档。
上外附中小升初英语口试模拟试题(3)Part One: Make quick responses to the sentences you have heard.(共3分)1.Is it true that our class teacher Miss Wang is i1l?2.I'm afraid I haven't got enough money for the book.3.I had hoped that our team would win till' game.4.I was wondering if I could borrow some money from you.5. How much do you know about George W. Bush?part two:listen carefully to the words i read,then i will ask you to repeat some of them.each you should repeat twice. (共4分)attend, run away,expensive, culture, especiallyquestion:What is the second and the fourth ?part three:listen carefully to the sentence i read,then i will ask you to repeat it.each you should repeat twice.(共2分)The important thing in life is to have a great aim, and the determination to attain it.Part four: Read aloud the following passage. You will have one minute to prepare and thirty seconds to read. (共6分)Last Day At School Well, boys we’ve spent the past two years together. Very soon the bell will r...... and it’ll be time to say goodbye. I’ve handed the reports out. Martinelli’s passed. He could hardly believe his eyes when he saw his marks. This morning, his mother carefully combed his hair, making him wear a new tie that looks like an enormous white butterfly. Crippa has also got through----that tall, 13-year-old with hairy legs who is forever falling asleep and who’ll continue to fall a...... next year at secondary school. The only one to have failed is Antonelli, a boy who has s...... the whole year carving his surname on the desk with a tortoiseshell penknife; but he’s so slow that he got only as far as Anton. Next year, under a new teacher, he’ll get round to writing elli.Part five: Part five: listen to the passage and then answer the questions orally.(共5分)Sydney is a young city. Its history goes back just over 200 years. But in Australia, it is the oldest city. It is also the country’s largest city. Sydney is the capital of New South Wales and the most populous(人口稠密的)city of Australia.The climate of Sydney is very good. I t’s not too cold during the winter and not too hot during the summer. The sky is blue, the air is fresh, birds sing in the garden. People who live in Sydney seem to have an easy life style. They will tell you, ”Don’t worry .”Many people think that Sydney is one of the most attractive cities in the world. It has many tall and modern buildings. Among them, Centre point Tower is the tallest. Standing on the 305—metre tower, you will have a great view of the city.Question:1..How old is Sydney ?2.How is the climate of Sydney ?3.How tall is Centre point Tower ?Part six: You will have one minute to prepare and another minute to tell the story which contains at least five sentences by using 5 words given as following.( 共5分)Diaoyu Islands,argument,sovereign nation(主权国家),China,JapanPart seven: You will have one minute to prepare and another minute to talk about the following pictures. Begin your talk with the sentence given: "Last Sunday, my classmates and I went to the countryside by bike...(Pic.1 骑自行车去乡村玩)(Pic.2 我的自行车出故障了)(Pic.3在一个路人的帮助下修好了)(Pic.4 在乡村玩了一天开心回家)。
上外附中小升初真题汇总数学篇1、李白提壶酒,在大街上走;遇店加1倍,遇花喝4斗;二遇店和花,喝光壶中酒;试问:李白壶中原有几斗酒?(遇见的顺序是店花店花)2、小明挖到一个藏宝箱上面的密码是123456789中的任意4位可以重复这个密码正反看都一样例如2112 大家脑补计算机上面显示的数字然后问你最多试几次能打开?3、红灯亮65秒,黄灯亮5秒,绿灯亮30秒,先绿再黄后红,十点整正好刚刚切换到绿灯,有人十点13分零5秒刚好到路边,问至少过几秒可以看见绿灯?4、一辆火车从A点出发先走大圈每隔1分钟扳道工变一下A点处的轨道,已知火车速度为每分钟10米,轨道大圈为5米,轨道小圈为3米,问当火车第七次经过A点时要多少时间?5、现在定义一种符号△,并满足a△b(a>b)是a除以b的余数。
已知a△4-a△6,那么a的最小值是_____。
(本题5分)6、现在有一个编号SFLS13504,每一分钟后把字母的第一个移到最后一个,把数字的第一个移到最后一个。
因此一分钟后变成了LSSF50413……那么经过____分钟后又回到了原来的编号。
(本题5分)7、有三种不同的颜色,要把它们涂到如图所示的圆圈中,同一条线段上的圆圈不能染相同颜色。
(本题6分)8、如图,已知三角形ABC的面积是10,BD=2DC,AE=ED,则阴影部分的面积是______。
(本题6分)9、甲、乙两人分别从相距3000米的A、B两地同时相向而行,甲的速度是300米/分,已的速度是200米/分。
那么在35分钟内,两人相遇点离A地最近的一次,距离是_____米。
(本题6分)10、把20层楼称为0层,则15层楼为-5层,26层楼为+6层,那么+14层是第()层楼。
11、“上外5附中5真6好”的任意相邻3个数的和为20,那么上+外+附+中+真+好=()。
12、长方形对折后,非重叠部分总面积为8,长方形的总面积是折叠后总面积的1.6倍,那么折叠后重叠部分的面积为()。
上外附中小升初英语口试模拟试题(7)Part One:Make quick responses to the sentences you have heard。
1.How many hours of sleep do you get a night?2。
What is your favorite time of day?3. Shall we go out and have a walk?4. What season is the best season to plant trees?5。
Do you know which day is the April Fools’ Day?part two:listen carefully to the words i read,then i will ask you to repeat some of them。
each you should repeat twice.angry, sometimes, give,England,suddenly, twentyquestion:what is the second and the fourth ?part three:listen carefully to the sentence i read,then i will ask you to repeat it。
each you should repeat twice。
The first step is as good as half over.Part four: Read aloud the following passage。
You will have one minute to prepare and thirty seconds to read。
Anne sat in their backyard, thinking. She was trying to think of a way to earn money d the summer vacation。
上外附中初中招生面谈考试综合卷(45分)
在考试过程中不允许动笔!
第一部分数学口试(28分)
1.现在定义一种符号△,并满足a△b(a>b)是a除以b的余数。
已知a△4-a△6,那么a 的最小值是_____。
(本题5分)
最小公倍数12
现在有一个编号SFLS13504,每一分钟后把字母的第一个移到最后一个,把数字的第一个移到最后一个。
因此一分钟后变成了LSSF50413……那么经过____分钟后又回到了原来的编号。
(本题5分)
4*5=20
3.有三种不同的颜色,要把它们涂到如图所示的圆圈中,同一条线段上的圆圈不能染相同颜色。
(本题6分)
3*2*2*1=12
4.如图,已知三角形ABC的面积是10,BD=2DC,AE=ED,则阴影部分的面积是______。
(本题6分)
中位线原理---- 添加辅助线---------根据边的比例关系-------面积应该是4
甲、乙两人分别从相距3000米的A、B两地同时相向而行,甲的速度是300米/分,已的速度是200米/分。
那么在35分钟内,两人相遇点离A地最近的一次,距离是_____米。
(本题6分)
3000/(200+300)*(1+2)*200=3600
3600-3000=600。
上外附中入学面试口奥真题集口奥一1(计算:222,333,444,555,666=2(甲、乙两地相距 80千米,汽车行完全程要 1.6小时,而步行要16小时,某人乘车从甲地出发去乙地,行了 1.15小时后汽车出了故障,他改为步行继续前进。
问:他到达目的地总共用了多少小时,3(如图:正方形 ABCD的边长为 12厘米,P是 AB边上的任意一点,M、N、I、H分别是 BC、AD上的三等分点(即BM=MN=NC),厘米。
P E、F、G是边 CD上的四等分点,图中阴影部分面积是多少平方4( 252、140、308三个数共有多少个不同的公约数,答案:(1)444×5=2220(2)解:汽车的速度是步行的 16?1.6=10(1.6,1.15)×10,1.15=5.65(小时)(3)48平方厘米(4)6个。
解:(252、140和308)=28=22×7,28的约数的个数即为所求,有(2,1)×(1,1)=6个口奥二1.计算:1,2,3,4,5,……,1994,1995=2.某船在静水中的速度是每小时 20千米,它从上游甲地开往乙地共用了 6小时,水流速度每小时 4千米,问从乙地返回甲地需要多少时间,3.在三角形 ABC中,BD=2DC,AE=BE,已知三角形 ABC的面积是 18 平方厘米,那么四边形 AEDC的面积等于多少平方厘米,AEC D B4.有一个自然数,用它分别去除 25、38、43,三个余数之和为 18,这个自然数是几,答案:(1)998;(2)(20,4)×6?(20,4)=9(小时);(3)12平方厘米;(4)解:所求数显然小于 26,又由 18?3=6可知,所求数大于 6。
(25,38,43),18=88,88是所求数的整倍数,推知所求数是 8、11或 22。
经验算,只有 11符合条件口奥三1.计算:0.75,9.75,99.75,999.75,1=2.甲、乙两名运动员在环行跑道上从同一地点同时背向而行跑,出发后 30分钟两人第一次相遇。
若已知甲运动员跑一圈要 48分钟。
问:乙运动员跑一圈要多少分钟, 3.如图:一个长方形被分成 A、B、C、D四个小长方形,已知 A的面积是 2平方厘米,B的面积是 3平方厘米,C的面积是 5平方厘米,那么原长方形的面积是多少平方厘米,A CB D4.对于任意两个自然数 A和B、规定一种新运算“※”:A※B=A(A,1)(A,2)……(A,B,1)。
如果(X※3)※2=3660,那么 X等于多少,答案:(1)原式=1111(2)1?(1?30,1?48)=80(分钟)(3)D=B×C?A=3×5?2=7.5(? 2)长方形面积:A,B,C,D=2,3,5,7.5=17.5(? 2) (4)由3660=60×61知:X※3=60。
三个连续的自然数的乘积等于 60,只有3×4×5,所以 X=3口奥四1.计算:(2,4,6,…,1996),(1,3,5,…,1995)=2.甲、乙、丙三个人进行竞走比赛,甲用 10米/秒的速度走完全程,甲用 10米/秒的速度走完全程;乙用 20米/秒的速度走完全程的一半,又用 5米/秒的速度走完余下的路程;丙在一半的时间内,按 20米/秒的速度行走,在另一半时间内又按 5米/秒的速度行3.用 4个相同的等腰直角三角形相互交叠拼成下图,阴影正方形的走。
面积是平方厘米。
请说出甲、乙、丙到达目的地的先后顺序。
34. A3=1008×B,其中 A、B均为自然数,B的最小值是多少, 答案(1)原式=998;(2)丙、甲、乙;(3)图中的阴影部分面积是正方形面积的 1/4。
3×3?2×4=18(? 2)(4)1008=24×32×7;B=22×3×72=588。
口奥五1.计算:98,998,9998,99998=2.甲、乙两名运动员在环行跑道上从同一地点同时背向而跑,已知甲运动员跑一圈要 80分钟。
如果在出发后 30分钟两人第一次相遇。
问:乙运动员跑一圈要多少分钟, 3.如图:一个长方形被分成 4个不同的三角形,如果绿色三角形的面积是原长方形面积的15,黄色三角形面积是 15平方厘米,那么原长方形的面积是多少平方厘米,黑4.在4×4的方格棋盘中,取出一个由三个小方格组成“L”型(右上图),共有种不同的取法,答案(1)111092;(2)甲的速度是乙的速度:30?(80,30)=0.6倍乙跑一圈:80×0.6=48(分钟)(3)15?(0.5,0.2)=50(平方厘米)(4)解:在2×2的正方形中,有 4种取法。
4×4的方格棋盘中共有 3 ×3=9个2×2的正方形。
所以不同的取法共有:3×3×4=36(种)口奥六1.计算:3.6×31.4,(31.4,12.5)×6.4=2. A、B、C、D四个数,每次去掉一个数,将其余的三个数求平均数,这样计算了 4次,得到以下四个数:13、16、20、23问:(1)A、B、C、D四个数的平均数是多少,(2)A、B、C、D中最大的数是几,3.一个长方体,它的高和宽都相等,如果把它的长去掉 3厘米,就成为表面积是 150平方厘米的正方体,原来长方体的体积是多少平方厘米,。
4. 12345678910111213…19981999除以 9的余数是答案:(1)原式=394;(2)解:平均数:(13,16,20,23)?4=18最大数:18×4,13×3=33(3)解:正方体一个面的面积:150?6=25(平方厘米)因为25=5×5,所以正方体棱长是 5厘米。
长方体体积:5×5×(5,3)=200(平方厘米)(4)1。
因为所求余数与前 1999个自然数之和除以 9的余数相同。
口奥七1.计算:17.48×37,174.8×1.9,1.748×820=2.双休日,学生们到郊外去玩。
甲买了 5只面包,乙买了同样的面包4只,当午餐用。
不料丙也参加午餐,但没有买面包,三人就均分着吃。
丙按买价拿出钱来,他给甲 1元 5角,给乙1元 2角。
3.长方体的表面积是 74平方厘米,其中一个底面的面积是 10平方问:他这样算对不对,为什么,厘米,底面的周长是 9厘米。
这个长方体的体积是多少立方厘米, 4.甲数除以乙数,乙数除以丙数,商相等,余数都是 2。
甲、乙两数之和是 478,那么甲、乙、丙三数之和是多少,(1)原式=1748; 答案:(2)单价:(12,15)×3?(5,4)=9(角)应给甲:9×5,(15,12)=18(角)=1元 8角应给乙:(15,12),18=9(角) 所以,丙算得不对,应给甲 1元 8角,给乙 9 角。
(3)侧面积:74,10×2=54(平方厘米)高:54?9=6(厘米)长方体体积:10×6=60(立方厘米)(4)714或 517或 489。
乙数应是 478,2=476的约数。
经验算,甲、乙、丙三数可以是 240、238、236或 359、119、39或410、68、11。
口奥八1.计算:2098,5.5×7.5,0.25×55,45=2.从 100里减去 25,加上 20,再减去 25,再加上 20这样连续进行,直到得数是 0为止,此时共减去了多少个 25?加上了多少个20?3.把一个长、宽、高分别是 5厘米、4厘米、2厘米的长方体截成两4.兄弟两人进行 100米赛跑,当哥哥到达终点时,弟弟才在 95米处,个长方体,使这两个长方体的表面积之和最大,这时表面积之和如果让弟弟在原起跑点起跑,哥哥后退 5米起跑,兄弟两的速度是多少,仍和原来一样,那么获胜者是谁,答案:(1)2098,5.5×7.5,0.25×55,45=2098,55×(0.75,0.25),45=2098,(55,45)=1998;(2)减去 25:(100,25)?(25,20),1=16(次)加上 20:16,1=15(次);(3)解:(5×4,5×2,4×2)×2,5×4×2=116(平方厘米); (4)哥哥。
当弟弟跑到 95米处时,哥哥追上了弟弟。
剩下的 5米,哥哥比弟弟先跑完。
口奥九1.计算:161.8×6.18,2618×0.382=2.某班学生去植树,如果每人挖 5个树坑,还有 3个树坑没有挖;如果其中 2人各挖 4个,其余的人各挖 6个树坑,就恰好挖完所有的树坑。
问:有多少学生参加植树,这些学生一共挖多少个树坑,3、一根底面是正方形的长方体木料,表面积为 114平方厘米,锯去一个最大的正方体之后,余下的长方体的表面积为 54平方厘米,那么,锯下的正方体的表面积为多少平方厘米,4、有 3所学校共订 300份中国少年报,每所学校订了至少 98份,至多 102份。
问:一共有多少种不同的订法,答案:a)原式=2000;b)学生人数:(3,4)?(6,5)=7(人)树坑:5×7,3=38(人)c)正方体的一个面:(114,54)?4=15(平方厘米)正方体的表面积:15×6=90(平方厘米)d)解:第一种情况:3所学校的订数互不相同,有 98、100、102和 99、100、101两种组合,每种组合有 6种不同的排列,此时有 12种订法。
第二种情况:3所学校的订数有 2所相同,有 98、101、101和 99、99、102两种组合,每种组合有 3种不同的排列,此时有 6种订法。
第三种情况:3所学校的订数都相同,只有 100、100、100一种订不同的订法共有 12,6,1=19种法。
口奥十(下式中被乘数与乘数中各有 500个“0”) 1.0. 00…0024×0.00…005=500个 500个2.一艘轮船顺水航行 100千米,逆水航行 64千米,共用 9小时;顺水航行 80千米、逆水航行 128千米共用 12小时。
问:轮船的顺3.地形 ABCD中,AB平行于 CD,对水速度与逆水速度各是多少, 角线 AC,BD交于 O点,OE平行于 AB、CD,交腰 BC于 E点,如果三角形ADE的面积是 90平方厘米,那么三角形 BOC的面积是多少平方厘米。
4.在一根绳子 12等分点、15等分点及 18等分点都剪一刀,这根绳子被剪成了段,答案(1)0. 00 (012)997个 0(2)V顺=120?6=20千米/小时;V逆=120?8=16千米/小时 (3)180平方厘米;(4)12,15,18,(12,15),(12,18),(15,18),(12,15, 18)=45,3,6,3,3=36段口奥十一。