厦门外国语学校 直升考
厦门中考重要题型
厦门中考重要题型分析【题型一】 整体代换类：1、（2012厦门中考第16题）已知a +b = 2，ab = -1，则3a +ab +3b = ；a 2 + b 2 = .2、（2009厦门中考第16题）已知ab ＝2．①若－3≤b ≤－1，则a 的取值范围是 ；②若b ＞0，且a 2＋b 2＝5，则a ＋b ＝ ． 3、（2013外国语直升）已知关于x ，y 的方程组343x y ax y a+=-⎧⎨-=⎩，若x +y ＝－4，则a ＝______________.4、（2013思明一模第16题）已知a 2＋2a ＋b －4＝0，①若b ＝1，则a ＝_____________；②b 的最大值是______________.5、（2013六中一模）设0n ≠，2244m n mn +=，则22m n mn-=___________6、如图，已知在直角△ABC 中，∠C ＝90°，AB ＝5，△ABC 的面积为5，则△ABC 的周长为 .7、在直角梯形ABCD 中，AB ∥DC ,AB ⊥BC ，AB =2CD ，E 为AB 的中点，若△EBC 沿CE 折叠，使B 点落在AD 上的F 点，连结EF 、CE 、CF .（1）判断四边形AECD 的形状，并证明； （2）若ADBCFE S 四边形=32,求△ECB 的周长。
A【题型二】 规律类：1、（2011厦门中考第17题）如图5中的一系列“黑色梯形”，是由x 轴、直线y =x 和过x 轴上的正奇数1，3，5，7，9，……所对应的点且与y 轴平行的直线围成的。
从左到右将面积依次记为S 1 ,S 2 ,S 3 ,…S n ,…，则S 1= ;S n = 。
119753531③②①第2、（2010厦门中考第16题）如图3，以第①个等腰直角三角形的斜边长作为第②个等腰直角三角形的腰，以第②个等腰直角三角形的斜边长做为第③个等腰直角三角形的腰，依次类推，若第⑨个等腰直角三角形的斜边长为_________厘米.3、（2013厦门中考模拟）已知，如图1，内接于Rt △ACB 的三个正方形，第一个正方形的边长DG ＝9,第二个正方形的边长EH ＝6，则第三个正方形的边长FK ＝_______；如图2，第n 个正方形的边长为________GBB【题型三】 信息迁移类：1、（2013外国语直升第17题）对于平面直角坐标系中任意两点P 1(x 1，y 1)，P 2(x 2，y 2)，我们把|x 1－x 2|+|y 1－y 2|叫做P 1，P 2两点的直角距离，记作d (P 1，P 2)：若P 1(x 1，y 1)固定，而P 2(x 2，y 2)是直线y ＝ax +b 上的动点，我们把d (P 1，P 2)的最小值叫做到直线y ＝ax +b 的直角距离，则点m (2，1)到直线y ＝x +2的直角距离是______________.2、（2013思明一模第24题）如果一元二次方程ax 2＋bx ＋c ＝0的两根x 1、x 2均为正数，且满足1<x1x2<2(其中x 1>x 2)，那么称这个方程有“邻近根”.（1）判断方程x 2－(3+1)x ＋3＝0是否有“邻近根”，并说明理由；（2）已知关于x 的一元二次方程mx 2－(m －1)x －1＝0有“邻近根”，求m 的取值范围.3、在平面直角坐标系中，定义：P（x,y）,若满足x+y=-xy,则称点P为“和谐点”，如点P（0,0）是一个和谐点①若和谐点在双曲线y=4x上，求这个和谐点；②求证：直线y=x+m上一定有两个和谐点；③小明说“任何一条直线上一定有和谐点”，小明的话对吗？正确请说明理由，不正确请举反例？4、初三年级某班有48名学生，所在教室有6行8列座位，用（m，n）表示第m行第n列的座位，新学期准备调整座位，设某个学生原来的座位为（m，n），如果调整后的座位为（i，j），则称该生作了平移[a，b]=[m-i，n-j]，并称a+b为该生的位置数.（1）若小明原来的座位为（4，3），调整后的座位为（2，4），求小明的位置数；（2）若某生的位置数为8，当m+n取最小值时，求m•n的最大值.【题型四】定值问题类：1、（2013海沧一模）如图，在等腰直角三角形ABC中，AC＝BC＝2，D为AB上的动点（不与A、B重合），过D作DE⊥AC于E，DF⊥BC于F，设AD的长为x，DE与DF的长度和为y，则能表示y与x之间的函数关系的图象大致是（）A．B．C．D．2、如图1，在直角梯形ABCD中，∠B＝∠C＝900，BC＝CD，AB＝2CD，对角线AC、BD相交于点O，E、F分别为OA、OB的中点。
厦门外国语面试题目
厦门外国语面试题目一、自我介绍大家好，我是xxx，很高兴能有机会参加厦门外国语学校的面试。
首先，我想向大家介绍一下自己。
（自我介绍的内容包括：姓名、年龄、家庭情况、兴趣爱好、学习情况、学校经历等）二、为什么选择厦门外国语学校？我选择报考厦门外国语学校的原因有以下几点。
首先，厦门外国语学校有着优良的学术传统和严谨的教学方法，这为学生提供了优质的教育资源和学习环境。
其次，学校注重培养学生的语言表达能力和国际视野，我对于培养自己的语言能力和了解更多国际文化有浓厚的兴趣。
最后，厦门外国语学校拥有一支高素质的教师队伍和先进的教育设施，这将为我的学习提供更好的条件和机会。
三、在高中期间，你最大的成就是什么？在高中期间，我取得了一些值得骄傲的成就。
首先，在学术方面，我连续三年获得了学校的学业优秀奖学金，并取得了优异的成绩。
同时，我积极参加各类学术竞赛，并在一些比赛中取得了好成绩。
在课外活动方面，我曾担任班级干部，在组织班级活动中表现出色，得到了同学们的认可和赞许。
此外，我还积极参加社会实践活动，如志愿者活动和社团组织，为社会做出了一些贡献。
四、你的学习方法是什么？你如何保持高效的学习状态？我相信高效的学习方法是取得好成绩的关键。
在我看来，高效的学习方法应该包括以下几个方面。
首先，合理安排学习时间。
我通常会制定详细的学习计划，明确每天的学习目标，并按时执行。
其次，掌握科学的学习方法。
对于不同的学科，我会采取相应的学习策略，如积极参与课堂讨论、做好笔记、进行小组讨论等。
同时，我还善于总结归纳，通过复习巩固知识点。
第三，保持良好的学习环境。
我认为一个安静、整洁、舒适的学习环境有利于提高学习效果。
最后，合理安排休息时间。
我认为学习与休息相辅相成，适当的休息可以帮助我更好地保持学习状态。
五、你对未来的规划是什么？对于未来，我有着明确的规划和目标。
首先，我希望能够顺利进入厦门外国语学校，接受优质的教育。
同时，我也希望能够充分发展自己的语言表达能力和国际视野。
2023-2024年四川省成都实验外国语学校直升数学模拟试卷(解析版)
2023-2024年四川省成都实验外国语学校直升数学模拟试卷一、单选题 1．如图所示的三视图对应的几何体是（ ）A ．B ．C ．D ．【答案】B【分析】本题主要考查分式有意义的条件：分母不能为0．【详解】由题意得：50x −≠，解得：5x ≠．故选：B ．【点睛】本题主要考查了分式有意义的条件，解题的关键是掌握分式有意义的条件是分母不等于零．3．如图，半径为3的A 经过原点O 和点()0,2C .B 是y 轴左侧A 优弧上一点，则cos OBC ∠为（ ）A．c＞b＞a B．a＞c＞b C．b＞a＞c D．a＞b＞c 【答案】DA．a＞0B．a＋b＝3C．抛物线经过点（－1，0）D．关于x的一元二次方程ax2＋bx＋c＝－1有两个不相等的实数根【答案】C【分析】根据抛物线的图像与性质，根据各个选项的描述逐项判定即可得出结论．【详解】解：A、根据抛物线y＝ax2＋bx＋c（a≠0）经过点（1，0）和点（0，－3），且对称轴在y轴的左侧可知0a>，该说法正确，故该选项不符合题意；B、由抛物线y＝ax2＋bx＋c（a≠0）经过点（1，0）和点（0，－3）可知3a b cc++==−，解得3a b+=，该说法正确，故该选项不符合题意；C、由抛物线y＝ax2＋bx＋c（a≠0）经过点（1，0），对称轴在y轴的左侧，则抛物线不经过（－1，0），该说法错误，故该选项符合题意；D、关于x的一元二次方程ax2＋bx＋c＝－1根的情况，可以转化为抛物线y＝ax2＋bx＋c（a≠0）与直线1y=−的交点情况，根据抛物线y＝ax2＋bx＋c（a≠0）经过点（1，0）和点（0，－3），310−<−<，结合抛物线开口向上，且对称轴在y轴的左侧可知抛物线y＝ax2＋bx＋c（a≠0）与直线1y=−的有两个不同的交点，该说法正确，故该选项不符合题意；故选：C．【点睛】本题考查二次函数的图像与性质，涉及到开口方向的判定、二次函数系数之间的关系、方程的根与函数图像交点的关系等知识点，根据题中条件得到抛物线草图是解决问题的关键．6．已知一次函数y＝(2m－1)x＋1的图象上两点A(x1，y1)、B(x2，y2)，当x1＜x2时，有y1＜y2，那么m的取值范围是( )【答案】B 【分析】如图（见详解），连结OD 、OC ， 先由切线的性质定理得到90ODE ∠=°，再利用圆心角、弧、弦、弦心距之间的关系定理以及圆的性质得到AE OD ∥，从而推出90E ∠=°，进而求出边ED 长．最后过点O 作OH AE ⊥，解直角梯形ODEA ，把OA 求出来，即可得到直径AB 的长．【详解】解：连结OD 、OC ，过点O 作OH AE ⊥，∵ED 是O 的切线，且D 在O 上，∴OD ED ⊥，即：90ODE ∠=°， ∵点D 是 BC的中点， ∴ CDDB =，A．5 B．6 C．7 D．8 【答案】D【答案】C【分析】根据命题的定义判断即可．【详解】解：A. 相等的角是对顶角是命题；B. 两条直线不平行是命题；C. 延长AB到C使BC=AB不是命题；D. 两点之间线段最短是命题；故选C.【点睛】本题考查的是命题的概念，一般的，在数学中我们把用语言、符号或式子表达的，可以判断真假的陈述句叫做命题．二、填空题．两个等腰三角形的顶角相等，其中一个三角形的两边分别为CD=，且则（1）n的值为；（2）直线l的解析式为；三、解答题21．（1）解方程3x（x﹣2）=2（2﹣x）．（2）计算：2cos60°﹣3tan30°+2tan45°．【答案】（1）x1=2，x2=﹣；（2）原式=3﹣．【详解】试题分析：（1）首先把方程右边的移到方程左边，再提公因式分解因式，然后可得（x﹣2）（3x+2）=0，再解即可；（2）首先代入特殊角的三角函数值，然后再算乘法，后算加减即可．试题解析：（1）3x（x﹣2）﹣2（2﹣x）=0．（x﹣2）（3x+2）=0，则x﹣2=0，3x+2=0，解得x1=2，x2=﹣；=2×﹣3×+2×1﹣+2﹣．(1)求y 关于x 的函数关系式及x 的取值范围；(2)若商场每周销售该衣服获得的利润为1100元，则每件衣服的售价是多少元？(3)设该商场每周销售这种衣服所获得的利润为w 元，则将该衣服的销售单价定为多少元时，才能使所获利润最大？最大利润是多少？【答案】(1)200y x =−+，80150x ≤≤ (2)每件衣服的售价为90元(3)当售价为140元每件时，才能获得最大利润，最大利润为3600元【分析】（1）利用待定系数法即可求解；（2）根据题意列出一元二次方程，解方程即可求解；（3）根据题意，有()()()8020080w y x x x =×−=−+−，整理，得：228016000w x x =−+−，化为顶点式为：()21403600w x =−−+，问题随之得解．【详解】（1）设函数关系式为：y kx b =+， 代入坐标()50,150，()100,100，可得：50150100100k b k b += +=， 解得：1200k b =− = ， 即y 关于x 的函数关系式为200y x =−+，且80150x ≤≤； （2）根据题意有：()()()80200801100y x x x ×−=−+−=， 方程整理：2280171000x x −+=，解得：90x =，或者190x =（舍去），答：每件衣服的售价为90元；13。
年厦门市小学升初中划片中考分数线
附件1：厦门市2011年初中招生计划及划片方案（思湖片区）备注：1.第1、2、4、5、7、8、10、14、15、16、17片区中共安排2400个学位接收民办小学应届毕业生。
2.参加第4片区、第7片区派位的毕业生应填报志愿顺序。
附件2：厦门市2011年初中招生工作日程表（思湖片区）厦门市2011年小学毕业和初中招生工作意见为贯彻落实《中华人民共和国义务教育法》和《国家中长期教育改革和发展规划纲要（2010-2020年）》，进一步促进教育公平，推进义务教育均衡发展，制定2011年厦门市小学毕业和初中招生工作意见。
一、小学毕业考试和体检（一）毕业考试小学毕业考试科目为语文、数学，时间安排在6月11日进行，考查科目为英语，时间安排在5月28日进行。
毕业考试和考查由各区教育局、各直属小学组织实施，不得举行全区性统考，不得以任何形式对学校考试成绩进行排名。
（二）毕业和结业各小学根据《厦门市小学学籍管理办法》规定，对毕业班学生进行综合评定后确认毕业或结业资格。
（三）体检各小学要做好毕业班学生的体检工作，按规定填好《学生体质健康标准登记卡》和《厦门市学生体格检查表》，列入学生个人学籍档案。
二、初中招生（一）招生办法1．初中实施划片招生，坚持免试就近入学、不择校的原则。
所有学校（含民办校）的招生一律不得举行小学文化课学科测试。
2．思明、湖里区初中招生以学生就读的小学进行划片，采用电脑派位方式按划定片区派位，派位结果不得更改。
其他区初中招生划片由各区教育局根据本区实际确定，可以学生就读的小学或以学生户籍所在地段为依据。
3．义务教育阶段学校确因教育教学改革需要经市教育局批准举办的各类教育教学特色校（班），招生时只可进行必要的能力测试。
未经市教育局批准，任何学校不得以举办实验班、特长班等名义擅自招生。
（二）公办初中招生对象1．持有本市常住户口的小学应届毕业生。
2．在本市公办小学就读的非本市常住户口的应届毕业生。
3．在本市小学就读的港、澳、台、华侨、外籍等应届毕业境外学生。
2019上外附中直升考初三综合练习卷1（包含答案）
初三综合练习卷1Paper OneI.Choice. 30%(I)Grammar. 20%1.–Y ou’ve agreed to go. So why aren’t you getting ready?-- But I _______ that you ______ me to start at once.A. didn’t realize, wantedB. don’t realize, wantC. haven’t realized, wantD. hadn’t realized, wanted2. This is Sparkle Company. Y ou are one of the lucky housewives ______ to receive our free soap.A. to chooseB. chosenC. choosingD. to be choosing3. Is it in that factory ______ this type of cars are produced?A. whichB. whereC. thatD. in which4. Fortunately we had a map, without _______ we would have got lost.A. whichB. itC. thatD. what5. – Do you think our basketballers played very well yesterday?-- __________.A. They were not nervous at all.B. They were still young.C. They played naturally.D. They couldn’t have done better.6. Mary was badly ill; otherwise, she ______ our celebration yesterday.A. would have attendedB. must have taken part inC. could join inD. would attend7. One of the sides of the board should be painted yellow, and ________.A. the other is whiteB. another whiteC. the other whiteD. another is white8. – Y our coffee smells great!-- It’s from Mexico. Would you like _______?A. itB. someC. thisD. that9. – When shall I come to see you, morning or afternoon?-- ________. I will be in all day.A. EitherB. NeitherC. BothD. None10. -- ________ of Hong Kong has Mr Smith covered since he came here?-- About half of it, I guess.A. How manyB. How muchC. How farD. How wide11. The farmer had gone a long way in the forest _______ he realized that he lost his way.A. sinceB. forC. beforeD. after12. We are going to the bookstore in John’s car. Y ou can come with us ______ you can meet us there later.A. butB. andC. orD. then13. I don’t think this film is ________ that one.A. as good as or better thanB. good as or better thanC. as good or better thanD. as good or better as14. My friend, Lisa, is older than I _______ two years.A. forB. withC. throughD. by15. Marie Curie took little notice _______ the honours that were given to her in her later years.A. ofB. onC. aboutD. from16. He will be back in ________.A. one day or twoB. a day or twoC. a day or two daysD. a or two days17. Many patients who _____ ever got the disease can go home _________ now.A. has, healthy and happyB. have, healthy and happyC. has, healthily and happilyD. have, healthily and happily18. The young man insisted that he ________ nothing wrong and ______ free.A. did, setB. had done, should be setC. do, be setD. had done, must be set19. I have solved the problem ________ I will never forget.A. in a wayB. by the wayC. on the wayD. with a way20. Prices of daily goods _______ through a computer can be lower than store prices.A. are boughtB. boughtC. been boughtD. buying(II)V ocabulary. 10%21. My garden is a place which often ______ me of so many friends through the plants they have given me.A. remembersB. remindsC. regardsD. considers22. It is too late to go out now. _______, it is starting to rain.A. BesidesB. MeanwhileC. HoweverD. Anyhow23. There is not much ________ whether you agree or not.A. troubleB. difficultyC. differenceD. choice24. He said he couldn’t _______ three weeks away from work.A. wasteB. costC. affordD. spend25. We have no _______ of winning the prize.A. qualityB. timeC. chanceD. right26. – Why is the road crowded?-- The traffic is _______ by a car accident.A. held upB. held backC. held onD. held out27. How could he _______ his father ______ the failure?A. blame, forB. complain, ofC. punish, onD. accuse, to28. Modern techniques are used to make the ______ of a film real.A. showsB. signsC. scenesD. sights29. John’s car hit into the back of the car in front, but luckily the accident did very little ________ to either car.A. damageB. injuryC. woundD. loss30. In a cafeteria people must _______ food and drinks themselves.A. cookB. collectC. bringD. orderII.Cloze. 10%It often appears that we have more to gain by speaking than by listening. One big advantage of speaking is that it gives you a chance to control others’ thoughts and actions. Whatever you goal – to have a boss hire you, to __31__ others to vote for the person of your ___32__, or to describe the ___33___ you want your hair cut – the key to success seems to be the ___34__ to speak well.Another obvious advantage of speaking is the chance it provides to __35__ the admiration, respect, or liking of others. __36__ jokes, and everyone will think you are really a wise man. ___37__ advice, and they will be thankful for your help. Tell them all you know, and they will be __38__ by your wisdom. But keep quiet…and it seems as if you will look like a ___39__ nobody.Finally, talking gives you the ___40__ to release energy in a way that listening can’t. When you are ___41__, the chance to talk about your problems can often help you feel better. In the same way, you can often ___42__ your anger by letting it out orally. It is also helpful to __43__ your excitement with others by talking about it, for keeping it inside often ___44___ you feeling as if you might burst.While it is true that talking does have many advantages, it is impossible to __45__ that listening can do good to listeners, too. As you will soon read, being a good listener is one good way to __46__ others with their problems; and what better way is there to have others ___47__ you? As for controlling others, it may be true that it is hard to be persuasive while you are listening, but your ___48___ to hear others out will often leave them ___49__ to think about your ideas in return. Listening is often reciprocal: you get what you ___50___.A B C D31. persist advise persuade suggest32. friend relation choice leader33. method way means plan34. efficiency energy mentality ability35. gain grasp receive seize36. Say Speak Talk Tell37. Accept Follow Offer Obtain38. affected impressed influenced moved39. fruitless priceless worthless senseless40. pleasure course duty chance41. in trouble in danger in debt in silence42. lessen brighten darken deepen43. control share enjoy remove44. makes causes leaves enables45. suppose notice realize imagine46. fail cure hurt help47. appreciate listen to envy support48. kindness likeliness willingness eagerness49. free open eager pleased50. lose ask for need giveIII.Reading. 10%(I)It is only during the last few years that man has generally realized that in the world of nature a balance exists between all forms of life. No living thing can exist by itself: it is part of a system in which all forms of life are joined together. If we change one part of the nature order, this willin its turn almost certainly bring about changes in some other part.The cutting down of forest reduces the supply of oxygen. The killing of weeds and insects by chemicals leads to the widespread poisoning of animals and birds. The throwing of waste products into the ocean hurts life in the sea, while waste gases change the chemical balance of the atmosphere and shut out some of the sun’s necessary life-giving rays.And so we could go on, adding more examples, until in despair we might feel like giving up the struggle to control and keep within limits these harmful human activities. Man is very clever at changing the world around him to satisfy his immediate needs, but he is not so clever at looking far ahead, or at thinking about what the future results of his action might be. Man may well destroy himself in his attempt to be too ambitious.51. The first paragraph tells us that _______.A.everything in nature can’t exist without the help of human beingsB.no living thing can live naturallyC.all living things in nature depend on each otherD.man has known the importance of the balance of nature for a long time52. The examples given in the second paragraph are used as evidence that _______.A.it is only during the last few years that man has generally known the balance of natureB.there are some living things which can exist by themselves without chanceC.all forms of life belong to a system in which all the parts can be changed for one anotherD.we cannot change one form of life without destroying the balance of nature53. The last paragraph suggests that, in his attempt to increase his immediate benefits, ________.A.man often fails to think about their future results of his actionB.man is always too ambitious to plan for distant futureC.man often feels that he will have to give up in despairD.man is always anxious to control and keep his activities within limits54. Which of the following statements is true?A.Cutting down of woods does little harm to human beings.B.Man has to pay much attention to future results of his present action.C.Oxygen comes from forests.D.This passage tells us to try our best to get as much as possible immediately.55. Which of the following is the best title of this passage?A. The Secret of NatureB. The Balance of NatureC. The Order of NatureD. The Chance of Nature(II)The world’s first subway was built in London in 1863. At that time, the government was looking for a way to reduce traffic problems in the city of London. The poor areas of the city were so crowded with people that it was almost impossible for horse carriages (the taxis of those days) to get round. The city officials were interested in trying to make it possible for workers to live outside of London and travel easily to work each day. If people had a cheap and convenient way that they could depend on to get to and from work, they would relocate their homes outside of the city. This would help ease the pressure of too many people living in the poor parts of London. From these problems, the idea of the London Underground, the first subway system, was born.The plans for building the Underground met with several problems and delays, but the first track was finally opened in January 1863. A steam train pulled the cars along the first underground which was six kilometres (3.7 miles) long. About 30,000 people got on the subway the first day. Riders were treated to comfortable seats (standing up while the train was moving was not allowed) and pleasant decorations inside each of the cars. However, the smoke from the engine soon filled the air in the tunnels with ash and soot, as well as chemical gases. Fans had to be put in the tunnels later to keep the air clean enough for people to breathe. Even with its problems riding the Underground did catch on. It carried nine million riders in its first year.Modern subways have come a long way since the early days of the London Underground. Today there are 94 large underground rapid transit systems round the world. The busiest of these subway systems is the Tokyo Metro which opened in 1927. This efficient subway has two billion riders per year, and “pushers” work on the platforms during busy traffic hours to help push riders onto trains. At times, subway cars have been packed with up to 300 people! Shopping malls built in high traffic stations where riders move from one train to another have also helped the popularity of subways in Tokyo. Stations like the famous Ginza Sugo Eki (Ginza Consolidated Station) include underground department stores, supermarkets, restaurants, and speciality shops. Shoppers never have to go above ground!56. What problems led the British government to build the London Underground?A. overcrowding and traffic jamsB. pollution and overcrowdingC. traffic jams and pollutionD. the subway problems57. What was one major problem with the first subway?A. The subway cars are too small.B. Ticket prices are too expensive.C. The subway was too small.D. Riding the subway was unhealthy.58. How did the London Underground solve this problem?A. It built more tunnelsB. It put fans in the tunnels.C. It made the tunnels larger.59. The last paragraph is mainly about ________.A. the London Underground todayB. subways around the worldC. problems with subwayD. the Tokyo subway60. What is the Ginza Sugo Eki?A. a subway in JapanB. a store in JapanC. a subway station in JapanD. a subway in LondonPaper TwoI.Fill in the blanks with the initials given. 10%The story is a simple one. Chris and Mary are both teachers. They fell in love, got married, and had three children, triplets. Their three children are the focus of their lives. Angel, Joe and William are a 1.w_________ to watch. Unlike other twins or triplets, they are different, not 2.i___________. But they are close friends as well as siblings. Watching their children makes Mary and Chris aware of the 3.i____________ of family. Closeness in their relationships has always been important to them. In fact, getting together with aunts and uncles, nieces and nephews is their idea of fun.But one day, 4. d____________ hit the family. Chris’s sister, Linda, was sick. Her kidneyswere too small and they had worked too hard. In a normal person, the two kidneys clean the blood. They remove the poisons and extra fluid from the blood. Linda’s kidneys coul d not remove them by themselves. They couldn’t work 5.p___________. Linda needed medical help. She had to go to hospital and there a machine would clean her blood 6.a____________. It is an expensive and 7.p_____________ process. Linda suffered a lot. And five years later, she couldn’t 8.e_________ the pain. The family asked her doctor to help her. The doctor told them she needed a healthy kidney. Mary decided to give her one of hers, but she and Linda are not blood relatives. Everyone was doubtful about it. Mary received some tests. To everyone’s 9.s___________, the tests came out positive.After the surgery, Linda has her life back, thanks to her incredibly generous sister-in-law, Mary. Furthermore, there is now a special relationship between the two sisters-in-law. They are related by much more than 10.m____________.II.Word transformation. 10%Farmer Ed Rawlings smiles as he looks at his orange trees. The young oranges are growing well in Florida’s weather. Warm sunshine and gentle rain, along with Ed Rawlings’ expert care, will produce a good crop of oranges this year.But Ed has to fight against Florida’s ______1_____ winter weather. In January and Febr uary, temperatures can destroy Ed’s entire orange crop. Having _____2____ in Florida for the past 35 years, Ed Rawlings is prepared for the frosts. When temperatures drop below _____3_____, Ed tries to save his crop by watering his orange trees. The water freezes and forms a thin layer of ice on the trees.What happens is simple. When the trees are ______4______, the water loses heat and becomes ice. The warmth of the heat it loses is sucked in by the fruit and keeps its temperature at a safe level. Ed Rawlings has _____5_____ used this method to save many orange crops.But Ed still faces some difficulties. The trees should be watered at the _____6____ moment the temperature drops to the freezing point. Also, just the right quantity of water must be used. Too much water can form a thick layer of ice that will break the trees’ branches. Another _____7____ is that wind blows away the heat. So Ed has to worry about not only when but also how often his trees should be watered, and how much water should be used.Computer technology may help Ed with some of these ____8____. With equipment, air and soil ______9_____ and wind speed can be measured. The information is fed into a computer which can tell when temperatures drop to freezing. The computer can correctly _______10_____ thequantity of water to be used and how frequently the trees should be watered. Ed Rawlings will find looking after his orange trees a lot easier with the help of a computer.III.V erb forms. 10%The Atlantic Ocean is one of the oceans that separate the Old World from the New. For centuries it kept the Americas from ________1_______ by the people of Europe.Many wrong ideas about the Atlantic made early sailors unwilling to sail far out into it. One idea was that it _______2______ out to “the edge of the world”. Sailors were afraid that they might sail right off the earth. Another idea was that at the equator the ocean would be boiling hot.The Atlantic Ocean is only half as big as the Pacific, but it is still very large. It is more than 4,000 miles (6,000 km) wide where Columbus _______3_______ it. Even at its narrowest it is about 2,000 miles (3,200 km) wide.Two things make the Atlantic Ocean rather unusual. For so large an ocean it _______4_____ very few islands. Also, it is the world’s saltiest ocean.There is so much water in the Atlantic that it is hard _______5_______ how much there is. But suppose no more rain fell into it and no more water was brought to it by rivers. It _________6_______ about 4,000 years to dry up the ocean. On the average the water is a little more than two miles (3.2 km) deep, but in some places it is much deeper. The deepest spot is near Puerto Rico. This “deep” _____7_____ 30,246 feet – almost six miles (9.6 km).One of the longest mountain ranges of the world ______8_____ from the floor of the Atlantic. This mountain range runs north and south down the middle of the ocean. The tops of a few of the mountains reach up above the sea and make islands.Several hundred miles eastward from Florida there is a part of the ocean ______9____ the Sargasso Sea. Here the water is quiet, for there is little wind. In the days of sailing vessels the crew were afraid they would be becalmed here. Sometimes they were.Today the Atlantic is a great highway. It is not, however, always a smooth and safe one. Storms sweep across it and pile up great waves. Icebergs float down from the Far North across the paths of ships.We now have such fast ways of travelling that this big ocean seems ______10_____ smaller. Columbus sailed for more than two months to cross it. A fast modern steamship can make the trip in less than four days. Airplanes fly from New Y ork to London in only eight hours and fromSouth America to Africa in four!IV.Sentence transformation. 5%1.Mother insisted that I go to bed before 9:30.Mother insisted _________ ________ _________ to bed before 9:30.2.Y esterday I talked to a woman. Her son went to Stanford University this year. (改成含有定语从句的复合句)___________________________________________________________________________ _________________________________________________________3.Peter said, “Are you going to the concert with me this morning, Sue?” (改成间接引语)___________________________________________________________________________ _________________________________________________________4.He admitted that he was frightened by the horror movie.He admitted ______________ _________ __________ by the horror movie.5.When I heard his voice, my eyes filled with tears. (用分词改写成简单句)__________________________________________________________________V.Read and answer. 5%We have recently heard a great deal about the effects of computers on our social and economic organizations. In industry, computers mean automation, and automation means unemployment. Computers in the United States have already begun to take the place of workers whose tasks are simple. The variety of jobs, done only by humans in the past, which the machine can perform more rapidly, accurately and economically, increases with each new generation of computers. If we follow this trend, we will be faced with mass unemployment for all but a handful of highly trained professionals who will be more powerful and overworked than are now.What can we do about it? It is foolish to dream of making history backwards. We cannot pass laws forbidding the advancement of science and technology. The computing machines are here, and they will grow because engineers want to build them, and politic ians want their help in the process of government. In short, they will develop and become popular because they enable us to complete tasks that could never have been done before, no matter how many unskilled labourswe might have set to work. Computers will continue to increase our intelligence for just the same reason that engines continue to strengthen our muscles. The question we must ask is not whether we shall have computers or not, but rather, since we are going to have them, how we can make the most humane and intelligent use of them.Answer the questions in COMPLETE sentences.1.What kind of people have computers begun to replace in the United States?___________________________________________________________________________ _________________________________________________________2.What kind of people will be the first to be employed if computers continue to develop?___________________________________________________________________________ _________________________________________________________3.After reading the article, do you believe that the computers will continue to develop or not?___________________________________________________________________________ _________________________________________________________4.Why will the computers continue to grow?___________________________________________________________________________ _________________________________________________________5.What is the main point the writer is trying to make in the last paragraph?___________________________________________________________________________ _________________________________________________________VI.Translation. 10%1.如果我们的篮球队练习多一些的话，他们本来是可以赢得比赛的。
厦门市教育局关于印发厦门市2011年高中阶段各类学校招生工作方案的通知
厦门市教育局关于印发厦门市2011年高中阶段各类学校招生工作方案的通知文章属性•【制定机关】厦门市教育局•【公布日期】2010.12.20•【字号】厦教综[2010]12号•【施行日期】2010.12.20•【效力等级】地方规范性文件•【时效性】现行有效•【主题分类】高等教育正文厦门市教育局关于印发厦门市2011年高中阶段各类学校招生工作方案的通知（厦教综〔2010〕12号）各区教育局、直属各学校、市招办、市教科院等有关单位：《厦门市2011年高中阶段各类学校招生工作方案》已经讨论研究通过，现予印发，请依照执行。
二〇一〇年十二月二十日厦门市2011年高中阶段各类学校招生工作方案为进一步贯彻落实全国教育工作会议精神和《国家中长期教育改革和发展规划纲要（2010-2020年）》，做好2011年全市高中阶段各类学校招生工作，根据《福建省教育厅关于进一步推进初中毕业生学业考试与高中招生制度改革的若干意见》（闽教基〔2010〕2号）等规定，制定本方案。
一、组织领导市中招领导小组统一领导全市高中阶段各类学校招生工作。
市招生考试委员会办公室（以下简称“市招办”）负责组织报名、命题、考务、评卷和录取等工作。
各区应相应成立中招领导小组，负责本考区中招工作，具体工作由考区招生考试机构承担。
各校应成立招生工作小组，配备专（兼）职人员开展工作。
二、考试全市初中毕业考试和高中阶段各类学校升学考试合并进行，简称中考。
（一）考试科目语文、数学、英语（含听力）、物理、化学、思想品德、历史、地理、生物、体育、物理实验、化学实验、生物实验。
（二）考试成绩1、考试成绩计算各科目卷面满分值如下：语文150分，数学150分，英语150分，物理100分，化学100分，思想品德100分，历史100分，地理100分，生物100分。
体育满分值20分。
物理实验、化学实验和生物实验的考试成绩分为合格、不合格。
2、升学成绩计算考生的升学投档分由以下六部分组成：（1）语文、数学、英语的卷面成绩；（2）物理卷面成绩的90%；（3）化学卷面成绩的60%；（4）思想品德卷面成绩的20%；（5）体育分；（6）照顾分。
厦门外国语学校
厦门外国语学校2010年岛内初中招生简章厦门外国语学校是厦门市教育局直属学校，省一级达标学校，全国外国语学校工作研究会理事校，也是教育部指定的优秀高中毕业生可保送全国重点高校的17所外国语学校之一，是一所外语教育具有专业性质的六年一贯制中学。
厦门外国语学校全面贯彻执行党和国家的教育方针，坚持“突出外语，文理并重，全面发展”的办学指导思想，实施素质教育，坚持面向现代化、面向世界、面向未来。
培养高素质、复合型、国际型预备人才。
根据厦教综[2010]5号文件精神，特制定简章如下：招生名额与报考条件一、招生名额：我校今年面向岛内招生440名。
另外招收台商、台胞子女35名，由电脑随机派位录取。
二、报名条件：在岛内公、民办小学就读的毕业生、及具有岛内户籍在岛外就读的小学毕业生要求回岛内升学的，符合以下条件者，均可报考我校。
1. 具有良好的思想品德和学习习惯；2. 小学毕业考英语成绩为优（小学在尚未进行毕业考的地区就学的本市户籍学生，须五年级上、下学期及六年级上学期英语单科评定全部优秀），对学习外语有浓厚兴趣，口齿清楚，模仿力强；3. 身体健康，体育达标。
三、报名方式：1. 在思明区、湖里区的公办小学就读的符合条件且愿意报考的毕业生，应在初招报名表特色校第一志愿填报“外国语学校”；待电脑随机抽取确定参加英语学习能力测试的考生名单后，我校将于6月10～11日组织下校报名。
参加英语学习能力测试的考生应提供以下材料：①如实填写《厦门外国语学校二○一○年初中招生英语学习能力测试报名表》；② 1寸正面半身免冠近照2张（一张贴在报名表上，另一张用于制作准考证）；③就读小学出具的该生具有报名资格的有关证明，包括英语成绩为优等有效证明；④户口簿原件及复印件（尚在办理户口的，要提供由派出所出具的正规格式的户籍证明及复印件，境外考生应提供护照原件及复印件），非厦门户口的考生，还应提供学生本人及父（母）在岛内的暂住证原件及复印件（家长已实际居住一年以上，暂住证附页中应有携带子女的相关证明）；2. 在思明区、湖里区合法的民办小学就读的毕业生及具有岛内户籍在岛外就读的小学毕业生要求回岛内升学的，符合条件且愿意报考的学生，持初招报名表等材料于6月4日上午直接到厦门外国语学校初中部报名。
福建省厦门外国语学校2023-2024学年高二上学期期中考试数学试题
福建省厦门外国语学校2023-2024学年高二上学期期中考试数学试题学校:___________姓名：___________班级：___________考号：___________一、单选题二、多选题-C．A．0B．3261212．月光石不能频繁遇水，因为其主要成分是钾钠硅酸盐．一块斯里兰卡月光石的截面可近似看成由半圆和半椭圆组成，如图所示，在平面直角坐标系，半圆的圆心在坐标原F，，椭圆的短轴与半圆的直径重合．若直线点，半圆所在的圆过椭圆的右焦点(30)()0=>与半圆交于点A，与半椭圆交于点B，则下列结论正确的是（y t tA ．椭圆的离心率是22B ．OAB 的周长存在最大值C ．线段AB 长度的取值范围是D ．ABF △面积的最大值是三、填空题13．已知向量(2,3,0)a = ，(1,0,3)b = 为．14．设椭圆的两个焦点分别为F 14∶3∶2，则椭圆的离心率等于15．已知圆锥的轴截面PAB 是等边三角形，点，则异面直线PA 和CD 所成角的大小为16．已知A ，B 是圆2:()C x m -+使得直线1:4l ax y a -+值范围为.四、解答题17．已知空间三点(0,2,3)A ，(1,4,6)B ，(1,5,5)C ，(0,3,)D n .(1)求以AB ，AC 为邻边的平行四边形的面积；(2)若D 点在平面ABC 上，求n 的值.18．已知(0,1)A -，(0,2)B ，圆22:(1)16C x y +-=，点P 在圆C 上运动，动点M 满足2AP CM =，记动点M 的轨迹为曲线Γ.(1)求动点M 的轨迹方程；(2)若过点(1,1)--的直线l 与曲线Γ交于Q ，R 两点，且120QBR ∠=︒，求直线l 的方程.五、问答题19．如图，棱长为6的正四面体ABCD ，G 是ACD 的重心，E 是BC 的中点过G 作平面//CD α，且AB ⊥平面α.(1)在图中做出平面α与正四面体ABCD 表面的交线，要求说明作法（无需证明），并求交线长；(2)求点E 到α平面的距离.六、解答题七、证明题21．如图，ABCD 是边长为2的正方形，平面EAD ⊥平面ABCD ，且EA ED =，O 是线段AD 的中点，过E 作直线//l AB ，F 是直线l 上一动点.（1）求证：OF BC（2）若直线l上存在唯一一点F使得直线OF与平面BCF垂直，求此时二面角B OF C--的余弦值.八、解答题。
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
厦 门 外 国 语 学 校
2008-2009学年第二学期初三选拔考试数学试卷
（试卷满分：150分，考试时间：120分）
一、选择题（本大题有7小题，每小题3分，共21分，每小题都有四个选项，其中有且只有一个选项是正确的）
1、下列运算中，正确的是（ ）
A .2x +x =2x 2
B .x 2·x =2x 2
C .x 2+x =x 3
D . (x 2) 3=x 6
2、若圆锥的侧面展开图是一个弧长为36π的扇形，则这个圆锥的底面半径是（ ）
A .6
B .9
C .12
D . 18 3、下列调查不适合普查而适合作抽样调查的是（ ）
①了解夏季冷饮市场上冰淇淋的质量情况；②了解李红同学60道英语选择题的通过率； ③了解一批导弹的杀伤范围；④了解全世界网迷少年的性格情况 A .①③④ B .①②④ C .②③④ D .①②③ 4、与如图所示三视图对应的几何体是（ ）
A .
B .
C .
D .
5、在同一直角坐标系中，函数y =kx +k ，与k
y x
=-（k ≠0）的图像大致为（ ）
A ．
B ．
C ．
D ．
6、如图，P A 、PB 是⊙O 的切线，A 、B 为切点，OP 交AB 于点D ，交⊙O 于点C ，在线段AB 、P A 、PB 、PC 、CD 中，已知其中两条线段的长，但无法计算出⊙O 直径的两条线段是（
A ．A
B 、CD B ．P A 、P
C C ．P A 、PB
D ．P A 、AB
7、有如下四个结论：
①有两边及一角对应相等的两个三角形全等。
②菱形是对角线互相垂直的四边形。
③平分弦的直径垂直于弦，并且平分弦所对的两条弦。
④相等的圆周角所对的弦相等 其中正确的结论的个数为（ ）
A ．1个
B ．2个
C ．3个
D ．4个 二、填空题：（本大题有10小题，每小题4分，共40分） 8、计算：20(3)( 3.14)π----＝ 。
9
、函数y =
x 的取值范围为＝ 。
10、今年我国政府计划投资六亿元人民币用于350万农民工职业技能培训，
此人数用科学计数法表示为 。
11、数据13，10，6，8，x ，7，11的众数是13，则数据15，13，12，16，17，x 的中位数是 。
12、分解因式a 3+9ab 2－6a 2b ＝ 。
13、已知Rt △ABC 的两条直角边AC 、BC 分别是一元二次方程x 2－7x +12=0的两根，O 是Rt △ABC 的重
心，则O 到斜边中点的距离是 。
14、关于x 的方程
21
a
x =-的解是正数，则a 的取值范围是 。
15、已知一个多边形的各内角度数相等，且每个内角与相邻的外角之差的绝对值为60°，则这个多边形的
边数为 。
16、如图三个正三角形△ABC ，△HFG ，△DCE ，有一边在同一直线上，BC =1
2
CE ，F 、G 分别是BC 、CE 的
中点 ，
FM ∥AC ，GN ∥CD ，设图中三个平行四边形面积分别为S 1、S 2、S 3且S 1+S 3=10，则S 2=______ 17、如图，点C 为线段AB 上一动点，△ACD ，△CBE 是等边三角形，AE 交BD 于点O ，AE 交CD 于点
P ，BD 交CE 于点Q ，连结OC ，下列结论中：①PE =BQ ，②∠AOD =60°，③EO =BQ ，④OC +OE =OB ，⑤OC 平分∠AOB 。
正确的结论有 （只填序号）。
图1 图2
三、解答题：（共86分）
18、(7分)化简求值：
22
2
12
212
a a a
a
a a a
--
+÷
++-
，其中1
a
19、(8分)一个不透明的口袋里装有红、白、黄三种颜色的乒乓球（除颜色外其余都相同），其中白球2个，
黄球1个。
若从中任意摸出一个球，这个球是白球的概率为0.5.
（1）求口袋中红球的个数。
（2）小明任务：从口袋中摸出一个球，不放回，再摸出一个。
两个球中有白球的概率是1
2。
你任务对
吗？请你用列表法或树状图的方法说明理由。
20、（9分）如图，不透明圆锥体DEC放在直线BP所在的水平面上，且BP过底面圆的圆心，
其高为米，底面半径为2米。
某光源位于点A处，照射圆锥体在水平面上留下的影长BE=4米。
（1）求∠B的度数；
（2）若AC=8米，求光源A距平面的高度。
21、（9分）认真观察下图的4个图中阴影部分构成的图案，回答下列问题：
（1）请写出这四个图案都具有的两个共同特征。
特征1：；
特征2：。
（2）请在右图中涉及出你心中最美的图案，使它也具有你所写出的上述特征
22、(10分)某房地产开发公司计划建A、B两种户型的住房共80套，该公司所筹集资金不少于2090万元，
但不超过2096万元，所筹资金全部用于建房，两种户型的建房成本和售价分别如下表：
（1）设A户型建x套，所获得的利润为y万元，求y与x的函数关系式；
（2）该公司如何建房获得利润最大？
（3）根据市场调查，每套B型住房的售价不会改变，每套A型住房的售价将会提高a万元（a>0），且所建
的两种住房可全部售出，该公司又将如何建房获得利润最大？（利润＝售价－成本）
23、（10分）已知抛物线y＝－x2+2mx－m2－m+3
（1）证明：抛物线顶点一定在直线y＝－x+3上；
（2）当m＝－1时，写出抛物线的解析式；
（3）若（2）中所求抛物线顶点C，直线y＝－x+3与x轴交于点A。
点P为抛物线对称轴上一点，若△P AC是等腰三角形，则请直接写出点P的坐标。
24、(本题10分)如图，AB为⊙O的直径，C为⊙O上一点，∠BAC的平分线交⊙O于点D，过D点作EF
∥BC交AB的延长线于点E，交AC的延长线于点F。
（1）求证：EF为⊙O的切线；
（2）若sin∠ABC=4
5
，CF＝1，求⊙O的半径及EF的长。
25、(本题12分)如图，已知△ABC的高AE=5，BC＝40
3
，∠ABC=45°，F是AE上的点，G是点E关于F
的对称点，过点G作BC的平行线交于点H，与AC交于点I，连结IF并延长交BC于点J，连结HF 并延长交BC于点K。
（1）判断四边形HIKJ是怎样的四边形？并给予证明。
（2）当点F在AE上运动并使H、I、K、J点都在△ABC的三条边上时，求线段AF长的取值范围。
B
26、(14分)如图所示，在平面直角坐标系中，二次函数y=a(x－2)2－1的图象的顶点为P，与x轴交点为A、
B，与y轴交点为C，连结BP并延长交y轴于点D。
连结AP，上进△APB为等腰直角三角形。
（1）求a的值和点P、C、D的坐标；
（2）连结BC、AC、AD。
将△BCD绕咸蛋CD上一点E逆时针方向旋转90°，得到一个新三角形。
设该三角形与△ACD重叠部分面积为S。
①当点E在(0，1)时，在图26—1中画出旋转后的三角形，并求出S。
②当点E在线段CD(端点C、D除外)上运动时，设E(0，b)，用含b的代数式表示S，并判断b
为何值时，重叠部分的面积最大值？写出最大值。