华师附中奥校数学归纳总复习.doc

华师附中奥校数学归纳总复习数论题1. 计算：1 4 + 3 7 + 5 10 +L+ 99 151 = 2.计算：12 - 22 + 32 - 42 +L+ 20052 - 20062 + 20072 = 3.试求12+23+34+45+56+99100的结果是 几何题1.右图是一个零件的直观图下部是一个棱长为 40cm 的正方体，上部是圆柱体的一半求 这个零件的表面积和体积 2. 一个酒精瓶，它的瓶身呈圆柱形(不包括瓶颈)，如图已知它的容积为 26.4 立方厘米当 瓶子正放时，瓶内的酒精的液面高为 6 厘米；瓶子倒放时，空余部分的高为 2 厘米问： 瓶内酒精的体积是多少立方厘米？合多少升？ 3图为一卷紧绕成的牛皮纸，纸卷直径为 20 厘米，中间有一直径为 6 厘米的卷轴已知 纸的厚度为 0.4 毫米，问：这卷纸展开后大约有多长？4. 今有若干个底面半径和高均为1的圆柱体和若干个底面半径和高均为2的圆柱体，它们的体积和为50，表面积和为120.那么一共有多少个圆柱体？ 5.求下图中阴影部分的面积（长度单位：厘米）工程问题1甲、乙两人共同完成一件工作。如果甲、乙两人合做 2 天后，剩下的由乙单独做，刚好 在规定时间完成；如果甲单独做需要 18 天完成；如果乙单独做，则要超过规定时间 3 天才能完成。求完成这件工作规定的天数。2一件工作,若由甲单独做72天完成,现在甲做1天后,乙加入一起工作,合作2天后,丙也一起工作,三人再一起工作4天,完成全部工作的,又过了8天,完成了全部工作的,若余下的工作由丙单独完成,还需要几天?其他1.小明和小亮各有一些玻璃球，小明说：“你有球的个数比我少！”小亮说：“你要是能给我你的，我就比你多2个了。”小明原有玻璃球多少个？2.甲、乙、丙三人都在银行有存款，乙的存款数比甲的2倍少100元，丙的存款数比甲、乙两人的存款和少300元，甲的存款是丙的3倍，那么甲、乙、丙共有存款多少元？2012华师小升初数学一、填空题。（每小题5分） 1、把一个直径8分米的圆分成两个完全相同的半圆，这两个半圆的周长和是多少？结果保留PAI2、小王月资涨了20%，小李涨了25%，此时他们的月工资都是3600元，请问没涨工资之前，小王月工资比小李的月工资高多少元？3. 1-200内，与10互质，但不与12互质的数有多少个？4、在一条公园小路旁边放一排花盆。每两盆花之间距离为4米，共放了25盆，现在要改成每6米放一盆，则有 盆花不必搬动。5、少先队员去植树,如果每人挖5个树坑,还有3个树坑没人挖;如果其中2人各挖4个,其余每人各挖6个,就恰好挖完所有树坑。少先队员们共挖了 个树坑。6、甲、乙两车分别从A、B两地同时出发，相向而行。甲车每小时行45千米，乙车每小时行36千米。相遇以后继续以原来的速度前进，各自到达目的地后又立即返回，这样不断地往返行驶。已知途中第二次相遇地点与第三次相遇地点相距60千米。则A、B两地相距 千米。7、一批商品，按期望获得50%的利润来定价。结果只销售掉70%的商品，为了尽早销售掉剩下的商品，商店决定按定价打八折出售。这样所获得的全部利润是原来所期望的利润的百分之 。8、某俱乐部男女会员的人数之比是32,分为甲、乙、丙三组。已知甲、乙、丙三组的人数比是1087,甲组中男女会员的人数之比是31,乙组中男女会员的人数之比是53。则丙组中男女会员人数之比是 。9、有一串数:5,8,13,21,34,55,89,其中第一个数是5,第二个数是8,从第三个数起,每个数恰好是前两个数的和。那么在这串数中,第2005个数被3除后所得余数是 。10、一次数学考试共有20道题。规定答对一题得2分，答错一题扣1分，未答的题不得分。小明得了23分，已知他未答的题目数是偶数。那么他答错了 道。11、有0、1、4、7、9五个数字，从中选出四个数组成一个四位数（例如：1409）。把其中能被3整除的这样的四位数，从小到大排列起来。第六个数的末尾数字是 。12、有一个四位数，千位上的数字和百位上的数字都被擦掉了。知道十位上的数字是1，个位上的数字是2。又知道这个数如果减去7就能被7整除，减去8就能被8整除，减去9就能被9整除，这个四位数是 。13、一次数学考试的满分是100分，6位同学在这次考试中平均得分是91分，这6位同学的得分互不相同，其中有一位同学仅得65分。则得分排在第三名的同学至少得 分。14、德国队、意大利队、荷兰队进行一次足球比赛，每队与另两支队各赛一场。已知：意大利队总进球数是0，并且有一场打了平局；荷兰队总进球数是1，总失球数是2，并且该队恰好胜了一场。按规则，胜一场得2分，平一场得1分，负一场得0分。则德国队得了 分。15、甲、乙、丙三人做一件工作，若按照甲、乙、丙的顺序每人一天轮流去做，恰好整数天做完，并且结束工作的是乙；若按乙、丙、甲的顺序轮流去做，则比计划多用天；若按丙、甲、乙的顺序轮流去做，则比计划多用天。已知甲单独做完这件工作要9天，若甲、乙、丙三人一起做这件工作，则要用 天才能完成。华师附中（广东奥校）初中入学考试英语试卷（样题）听力部分（略） 笔试部分一、单词辨音：选出划线部分读音与其它三个不同的单词。（5分）二、单项选择。（20分）1. _ all the cities in China, shanghai is the largest.A. In B. At C. With D. Of2. Yesterday the teacher told us the earth _ round the sun in 365 days.A. goes B. went C. is going D. will go3. In this country, it is very _ in November, but it is much _ in December.A. coldest; cold B. colder; colder C. cold; colder D. colder; coldest4. - _you finish your composition in time? - I am afraid _.A. Can; not B. May; mustnt C. Must; neednt D. Can; cant5. There are_ stars in the sky, but some of them are too far to be seen.A. thousands B. thousands of C. thousand of D. several thousand6. Wei Hua won _.A. the girls 200 metres B. the girls 200 metres C. the girls 200 metre D. the girls 200 metre7. Can you see _ in the picture?A. something unusual B. anything unusual C. unusual something D. unusual anything8. Lets _ him _ an interesting story.A. to hear; speak B. to hear; talk C . listen to; say D. listen to; tell9. Youd better_ him a letter at once.A. to write B. write C. writing D. to writing10. Its too difficult. Why _ the teacher for help?A. not to ask B. not asking C. dont ask D. not ask11. Mary is ill and she doesnt feel like _.A. to eat something B. to eat anything C. eating something D. eating anything12. Little Tammy is a _ girl.A. five year old B. five-year-old C. five-years-old D. five-years old13. Rose is an _ but she is in _ right now.A. Japan girl; American B. English woman; Japanese C. English girl; Japan D. America; England14. I like the _ in the garden.A. yellow small flowers B. flowers small yellow C. small yellow flowers D. flowers yellow small15. How dirty your coat is! _ and _.A. Take your coat off; give it me B. Take it off; give it to meC. Take off your coat; to give me it D. Take off it; it gives me16. Mr. Hydes possible full name (全名) is _.A. Emma Hyde B. Hyde K. John C. Hyde Bill D. Peter A. Hyde17. -Who is not here, Lily? -_. - _? - He is fine now.A. Its Jeff; How are you, Jeff B. Jeff is at home; How about youC. Jeff is; How is he D. Im on duty today; Is Jeff all right18. - Would you like some green tea with sugar? - _.A. Id like milk B. I would C. No, please D. Yes, please19. - Jim. Where is your homework? - _. I forgot it.A. Hurry up B. This way, please C. Oh, dear D. Over there20. -Is Lily a girls name? - Yes, _. - Thank you. - _.A. all right; Thats all right B. thats right; Thats all rightC. thats right; All right D. all right; All right三、完形填空。（10分）Mr. White is a farmer. Last month he drove his truck to town and 1 the way his truck knocked down a boy and hurt him. He sent the boy to a 2 at once. He paid a lot of money for that, but the boys parents wanted to get 3 money from him. So they said their son could 4 lift his right arm above his head.Mr. Whites lawyer came and asked the boy a few questions in the court.“Now, my boy,” he said, “you 5 last month, werent you?”“Yes, sir” said the boy.“And you cant lift your right arm now, can you?”“ 6 , sir.”“Could you 7 us how you 8 lift your right arm?”Slowly the boy lifted his right arm before his nose.“Poor boy,” said the lawyer. “And how high 9 you lift it before the accident?”“Oh, very high,” said the boy proudly and the 10 went up right over his head.四、阅读理解。（30分）(A)Mike must get up before half past six on weekdays, but he cannot get up so early in the morning. He often gets up at a quarter or ten minutes to seven and forgets things before he goes to school. So he often buys school things in a shop on his way to school. The shop opens early in the morning. It opens at half past six every morning. It sells cheap things, but they are something not very good. Mike often says, “Im not going to that shop. The things in the shop are not dear, but they arent good enough.” But he cannot get up early and he cannot remember to put away his school things before going to bed and to take all the things in the school bag! He has to go to that shop often.1. What time does Mike often get up on weekdays? He gets up at _.A. half past six B. a quarter to seven C. a quarter past seven D. five minutes to seven2. What does Mike often do on his way to school? He often goes to _.A. a shop to see his classmates. B. a shop to buy something to eat or drinkC. a shop to buy some of his school things he forgets to take before leaving homeD. opem a shop on his way to school3. Why does Mike often buy things on his way to school? Because _.A. He doesnt put his school things away before going to bedB. He often forgets to take all the things in the school bag before leaving homeC. He thinks the people in the shop are very friendly to him and he is glad to see themD. He thinks the things in the shop are very cheap4. What do you know about the things in the shop? The things in that shop are _.A. very dear B. very good C. Mikes favourite things D. very cheap5. What time does the shop open in the morning? It opens at _.A. 7:00a.m. B. 6:30a.m. C. 6:45a.m. D. 7:15a.m.(B)Miss Green is very fat and she is very heavy. So she goes to see her doctor. The doctor says, “There isnt anything wrong with you, but you eat too much. I think you must go on a diet. Heres a book for you to read. You must eat the things on page 15. Read it carefully and eat the things for ten days, and then come to me again.”Miss Green takes the book home and reads it carefully, and begins her diet.Ten days is over now. Miss Green comes to see her doctor again. The doctor finds she is still very fat. So he says, “Do you eat the things on page 15 of that small book now?” “Yes, I do.” Miss Green says. The doctors cannot say anything.The next day, the doctor goes to see Miss Green in the afternoon. It is teatime. Miss Green is eating potatoes; “Why are you eating potatoes? Theyre not in your diet.”“But doctor,” Miss Green says, “This is teatime. I eat my diet on breakfast time, lunchtime and suppertime. This diet doesnt tell me anything about my tea.”6. The doctor _.A. is a woman B. is a not man C. sells books on dietD. ask Miss Green to eat the things on the diet7. Miss Green only eats her diet _.A. at home B. at work C. the doctors D. at meal- time8. The doctor doesnt know _.A. why she is still very fat before he goes to see her B. where she livesC. how she gets so fat D. what she usually eats in the afternoon9. Miss Green eats _.A. twice a day B. three times a day C. four times a day D. potatoes all the time10. Miss Green likes _.A. eating a lot B. eating a little C. eating nothing D. drinking tea(C)Mr. Johns went into his teashop again one morning, and sat n one of his seats at the counter. Many other people also came in, but most of them did not stay long. After fifteen minutes, a young man and a young woman came in. There were only two empty seats at the counter, one is on Mr. Johns left, and the other is on his right. The young man sat on one, and the young woman on the other, but Mr. Johns immediately asked to change places with him so that the man and the woman could be together.“Oh, that isnt necessary,” the young woman said, but Mr. Johns insisted. When the young man and the young woman were side by side, the young man said to her, “Well, this kind old man wanted us to sit together, so may I introduce myself? My name is Jack. Whats yours?”11. One morning Mr. Jones came into the teashop and _.A. sat at the counterB. found on seat for him to sit on because many people also cameC. seemed to stay longer than all the other peopleD. gave his seat to the young man and the young woman12. After the young man and the young woman came in, _.A. Mr. Johns thought they came too earlyB. Mr. Johns thought they were friends or husbands and wifeC. the young man asked Mr. Jones to change placesD. they wanted to be together13. When the young woman said, “That isnt necessary”, Mr. Jones _.A. didnt understand her B. knew well what she meantC. was afraid not to change places with her D. decided to stay a little longer14. _ before Mr. Johns met them in the teashop.A. The young man got to know the young woman outsideB. The young man and the young woman didnt know each otherC. The young man and the young woman knew each other wellD. The young man and the young woman wanted to have some tea together15. Which of the sentences is true?A. Mr. Johns came to this teashop for the first time.B. Most of the people didnt leave the shop until it was closed.C. There were no other empty seats at the c