东莞高级中学四连跳 东莞第四高级中学官网

东莞松山湖中学另外，尹嘉权、陈泽闽、刘景轩三位同班同学被保送录取到浙江大学“竺可桢求是科学班（计算机）”，该班全国只招25人；雷宇、傅浩南分别被保送录取到浙江大学、上海交通大学信息科学实验班；胡志勇同学被保送录取到中山大学。

陈江南、邓可滢、黄丽殷三位同学参加有“美国高考”之称的“托福、SAT1、SAT2”考试，取得优异成绩。

陈江南同学被美国埃默里大学商学院录取，该学院在美国高校中排名前列素有“南哈佛”美誉的；邓可滢同学被世界一流学府不列颠哥伦比亚大学（简称UBC）录取，并获得该校奖学金；黄丽殷同学被美国俄亥俄州立大学录取。

东莞中学松山湖学校着力培养学生个性特长，激励学生自主发展，并取得可喜成绩。

2012届初中毕业生中共有11位同学获得奥赛全国一等奖，其中叶琼新同学获得生物奥赛全国赛金牌；蔡泽凯、吕文诗等12位同学在网球等比赛中取得的优异成绩获得高考20分加分资格，其中蔡泽凯、吕文诗、黎俊良获得体育尖子生资格，并分别通过了浙江大学、暨南大学、华南理工大学的体育尖子生综合测试；文科状元朱悦同学获得北京大学自主招生加分最高分30分。

东莞实验中学学校高度重视发挥学生的特长，各种学生竞赛成绩位居全市前列，2007年王玉珏同学获得全国高中数学联合竞赛全国三等奖（全市仅三人）；王思祺同学参加第二十四届全国中学生物理竞赛获得全国三等奖，形成了良好的社会声誉。

真正展示出创经验、出理论、育人才的特色和风采。

东莞第一中学东莞市第一中学【学校简介】东莞一中是一所国家级示范性普通高中。

学校位于东城区牛山伟业路178号，占地面积11.67万平方米，建筑面积10.44万平方米，环境优美，设施齐全，设备一流。

学校规模为60个教学班，高一、高二、高三各20个教学班，在校学生3000多人，是一所全住宿的学校。

学校拥有一支高素质的教师队伍，现有专任教师214人，其中，特级教师1人，全国优秀教师4人，省优秀教师3人，市优秀教师15人，市学科带头人4人，中学高级教师66人，研究生（含在读）28人，具有高级职称或研究生学历的教师占专任教师的40%。

2019东莞高中排名榜单东莞的名校排名是怎样的？让我们一起来看看。

以下就是
1东莞中学
2东莞东华高级中学
3东莞市高级中学
4东莞市实验中学
5东莞第一中学
6东莞中学松山湖学校
7东莞常平中学
8东莞市厚街中学
9东莞光明中学
10东莞望牛墩中学
11东莞市虎门中学
12东莞市长安实验中学
13东莞群英学校
14桥头镇桥头中学
15东莞明珠学校
16东莞新世纪英才学校
17东莞市石龙中学
18东莞东坑中学
19东莞新星高级中学
20东莞竹溪中学
21东莞市大岭山中学
22东莞台商子弟学校
23东莞樟木头中学
24东莞启明学校中学部
25东莞市石碣中学
26东莞济川中学
27东莞市樟木头职业高级中学
28石碣职业中学
29东莞市虎门第二中学
30东莞市清溪中学
31东莞市长安中学
32东莞白沙中学
33东莞市万江中学
34东莞雁田镇田学校初中部
35东莞市高埗中学
36东莞中堂中学
37东莞道滘中学
38沙田镇沙田中学
39东莞第十高级中学
40大岭山镇中学
41东莞湖景中学
42东莞市麻涌镇麻涌职业高级中学43东莞麻涌中学
44东莞市企石镇企石中学
45东莞第五高级中学
46东莞市大朗中学
47樟木头职业中学
48东莞清溪中学
49东莞大朗中学
50东莞宝石中学
51东莞市常平中学
52东莞新风中学
53东莞厚街中学
54东莞城区业余中学
55东莞南城职业中学。

【免费下载】关于东莞市中学数学优秀教学论⽂评选结果的通报关于2010年东莞市中学数学优秀教学论⽂评选结果的通报各中学：2010年中学数学论⽂评选共收到论⽂310篇，经评审⼩组初评，共评选出228篇论⽂，再由评审⼩组复评。

全体评委坚持公平公正的原则，采取了个⼈评分和集体讨论相结合、定量评分与定性评价相结合的⽅式，历时两个⽉，共评选出⼀等奖7篇、⼆等奖59篇、三等奖95篇，获奖名单见附件。

本年度论⽂的总体⽔平较⾼，注重了对课程标准与实验教材的研究，体现了中学数学课程改⾰的新理念，注重教法研究与学法指导，可操作性较强。

同时，还存在⼀些常见的问题，主要表现在：①部分论⽂的数学学科特点不明显；②罗列例题，缺乏⾃⼰的观点和必要的理论依据。

希望获奖的⽼师继续努⼒，戒骄戒躁，争取更⼤成绩，同时也希望学校对获奖的⽼师给予表扬，以资⿎励。

附件 2010年东莞市中学数学教学论⽂评选获奖名单东莞市教育局教研室东莞市中学数学教学研究会⼆O ⼀O 年⼗⼀⽉⼆⼗六⽇附件 2010年东莞市中学数学教学论⽂评选获奖名单序号作者学校论⽂题⽬获奖等级1蔡映红长安实验中学构建优效课堂促进学⽣发展12蒋美衡东莞中学松⼭湖学校消除⾼中⽂科学⽣数学学习障碍的策略探究13冷芬腾⽯龙第三中学凸显核⼼，提⾼初中数学概念教学的有效性14杨波⽯龙中学⾼中⽣数列学习中的理解障碍及对策研究15李洁⽂东莞中学松⼭湖学校初中数学⾃主学习教学模式的探讨16黄玲东城初级中学例谈数学思想⽅法在初中探究题教学中的运⽤数学17陈楚云东莞中学⾼三数学优质课堂教学实践18林炳超⼤朗⼀中“测量瓶⼦内径”数学项⽬活动的案例研究29林少珍东坑中学例谈初中数学分类讨论思想210杨锋茶⼭中学浅谈初中⼏何的教学策略211黄超亮东莞市第四⾼级中学⼀节⾼中数学课的磨课经历与思考2对全部⾼中资料试卷电⽓设备，在安装过程中以及安装结束后进⾏⾼中资料试卷调整试验；通电检查所有设备⾼中资料试卷相互作电⼒保护装12庞进发东莞中学⾼⼀学⽣函数学习的障碍分析213易保健东莞中学初中部新⼈教版⼋年级数学教材使⽤后的⼀点想法214杨勇常平中学化归在含参数不等式恒成⽴问题中的应⽤215全坤利⽯龙中学⾼三数学教学低效原因分析及应对策略216汤艳如东莞中学初中部整合教材,优化学⽣学习过程217邓振江沙⽥中学修炼“转换术” 提⾼数学解题能⼒218赵银仓东莞中学试谈不等式证明问题的分析策略219庞兴东莞中学重视整体观念，优化学⽣数学认知结构220揭烽东莞市第五⾼级中学把握导数与函数单调性的关系，提⾼备考效率221杜咎⽯龙第三中学培养初中学⽣数学解题能⼒的实践与思考222孙树德⾹市中学对⼀道经典⼏何题进⾏变式教学的深层次思考223刘世锦万江中学求解三⾓函数最值问题的误区分析及对策224袁永权⽯龙中学浅谈转化⾼中数学学困⽣的有效策略225杨芳萍⼴荣中学巧⽤数形结合思想226肖志军东莞⾼级中学多⾓度培养学⽣的审题能⼒227黄志清⽯龙第三中学“核⼼循环教学法”在初中数学教学中的实践探索228丘桂如清溪中学转变观念，让数学课堂活起来229胡安兴清溪中学在数学课堂上开展探究式学习的策略初探230刘统华东城初级中学不完全归纳法的应⽤231赖赣萍⽯龙⼆中通过例题教学，提⾼初中数学教学质量的实践与思考232袁巧嫦常平中学初中部新课程背景下初中数学课堂教学有效性的实践与探索233江青松寮步中学周长和⾯积都相等的两个三⾓形全等探讨234杨秀长安实验中学初中数学建模的困难及解决办法235赵亚莉⽯龙第三中学初中数学课本习题⼀题多变的教学思考与探索236蓝⼩军企⽯中学问题_学法_思维—⾼中数学探究性学习“三步曲”237刘翥远东城初级中学从三道竞赛题谈数学思维“三部曲”238刘树标⽯碣中学新课程理念下初中数学例题设计239张宇恩东莞中学初中部优化课堂提问，提⾼课堂效率240郭贵锋振兴中学创设问题情境，培养创新能⼒241钟海平常平中学变式教学在⾼中数学概念教学中的应⽤242邹秋菊长安实验中学“⼀题多变”的解题教学，打开学⽣思维的通道243周⼩莹东莞中学松⼭湖学校初中数学“情境-问题”教学模式的尝试244陈雪霞济川中学初中⼏何⽂字命题的教学策略245黄薇钟凤婷济川中学浅议七类“逆向推理”型问题的解法246叶少芬东莞中学初中部浅谈如何让数学教学不断创新247周应祥东莞市第四⾼级中学浅谈平⾯向量应⽤中的⽅程思想248张炳坤南城中学实验操作三⾓板探究中考复习题249卢润林东莞⾼级中学谈数学解题的教与学250黄婉笑东莞中学初中部谈谈让初中⽣轻松学数学的⼏点做法251许少艺⽵溪中学新课标下提⾼数学课堂效率的策略探究252曾海玲⼤岭⼭中学浅谈⾼中数学的变式教学253马伟荣虎门五中理解新课程下的课堂教学，给学⽣减减负2、管路敷设技术通过管线敷设技术，不仅可以解决吊顶层配置不规范问题，⽽且可保障各类管路习题到位。

中考总分780分，状元得了770分 店铺中考频道的⼩编会及时为⼲⼤考⽣提供中考总分780分，状元得了770分，希望对⼤家有所帮助。

中考总分780分，状元得了770分 6⽉30⽇，东莞中考成绩放榜。

东莞今年共有40639⼈参加中考，全市总平均分约569.7分(去年全市中考平均分565分)。

其中东莞东华初级中学中考平均分668.2分，稳稳占据全市第⼀的位置。

⽽且今年中考全市前16名都出⾃该校，最⾼分考了770分(中考总分780分)。

中考总分780分，状元得了770分 据东华初级中学负责⼈介绍，该校今年共有2594⼈参加中考。

该校包揽了全市中考总分前16名，其中吉祥瑞同学总分770分夺的东莞市总分状元(中考总分满分780分)。

全市前20名中，该校占了18名，760分以上有13⼈，750分以上48⼈，740分以上166⼈，700分以上共1053⼈。

中考10个学科，该校单科满分⼈数达2590⼈次。

东莞市教育局基础教育科负责⼈称，今年东莞中考成绩总体与去年差不多。

公办五⼤校(东莞中学、东莞中学松⼭湖学校、东莞⼀中、东莞⾼级中学、东莞实验中学)和东华、光明东部分优质⺠校中招录取分数线，预计在这两天内公布，其他普通⾼中录取分数线随后也会公布。

据介绍，今年东莞普通⾼中招⽣，取消往年的分⽚招⽣、取消莞城班，实施全市⾼中统⼀招⽣。

所以⽆法把往年各校录取分数线当做参照。

不排除有些⾼中成为“⿊⻢”，有些⾼中意外遇冷的可能。

重视课堂时间，积极参与讨论 7⽉1⽇，南都记者来到东华初级中学，对⼏名⼩学霸代表进⾏采访。

这些孩⼦说他们平时⼏乎不上补习班、兴趣班。

学习之余，书法、电影、课外书籍等各种爱好都没有放弃过。

学霸代表们给出了⼀些学习经验，他们认为，初中阶段的学⽣，上课的时间最重要，要在课堂上认真听并积极思考，按时完成⽼师布置的任务;另外，同学之间关于学习的讨论，⼀定要积极参与，能拓展思维;还有就是尽量多的阅读⼀些有⽤的课外书籍。

2023-2024学年第一学期东莞高级中学-东莞六中10月联合教学质量检测高二英语试题命题学校：东莞高级中学命题人：彭仕华审题人：袁小玲第一部分听力（共两节,满分20分）第一节听力理解（两段共5小题；每小题2分，满分10分）每段播放两遍。

各段后有几个小题,每段播放前每小题有5秒钟的阅题时间。

请根据各段播放内容及其相关小题,在5秒钟内从题中所给的A、B、C 项中选出最佳选项。

听第一段对话，回答第1~2题。

1. What food does Mary like?A. Fish.B. Chicken.C. Beef.2. Where does the conversation take place?A. At home.B. In a market.C. In a restaurant.听第二段对话，回答第3~5题。

3. What did Tom do yesterday?A. He saw a movie.B. He watched TV.C. He went to work.4. What time will they meet this Friday evening?A. At 6:30.B. At 7:00.C. At 7:30.5. Which of the following will Tom buy?A. Drinks.B. Tickets.C. Flowers.第二节听取信息（共5小题；每小题2分，满分10分）听下面一段材料。

请根据题目要求，从所听到的内容中获取必要的信息，填入标号为6~10的空格中。

听录音前，你将有10秒钟的阅题时间，录音读两遍。

你将有60秒钟的作答时间。

第二部分阅读理解（共两节，满分37.5分）第一节（共10小题；每小题2.5分，满分25分）阅读下列短文，从每题所给的四个选项（A、B、C、和D）中，选出最佳选项，并在答题卡上将该项涂黑。

ARecently I and other Red Cross volunteers met a group of victims from Hurricane Katrina. We were there, as mental health professionals, to offer “psychological first aid” and I was struck by the simple healing power of presence. As we walked in the gate to the shelter, we were greeted with a burst of gratitu de from the first person we met. I felt appreciated, but also guilty, because I hadn’t really done anything yet.I first realized the power of presence many years ago when a friend’s mother passed away unexpectedly. I had received a call saying she had just passed away. I wanted to rush down there immediately, but didn’t want to intrude(打扰)on this very personal period of sadness. I was torn about what to do. Another friend with me then said, “Just go. Just be there.” I did, and I will never regret it.Since then, I have not hesitated to be in the presence of others. Once I sat at the bedside of a young man suffering from the pain of his AIDS-related dying. He was not awake, and obviously unaware of others’ presence. However, the atmosphere was by no means solemn. His family, playing guitars and singing, allowed him to be present with them as though he were still fully alive.In my life, I am repeatedly struck by the healing power of presence. In it, none of us are truly alone. It is not only something we give to others but also changes me for the better.11. Why were the hurricane victims grateful to the author?A. He built shelters for them.B. He gave immediate first aid to them.C. He came to stay with them.D. He brought mental health professionals.12. What does the underlined word “solemn” in Paragraph 3 probably mean?A. Heavy but warm.B. A little sad but comfortable.C. Relaxing and delightful.D. Very serious and unhappy.13. What has the author learned from his experience?A. A friend in need is a friend indeed.B. Being present can make a big difference.C. The family harmony is the happiest thing in life.D. Being a volunteer can make one’s life more significant.BWe all know a picky eater (挑食者) or two, or maybe you’re the picky eater, avoidi ng food adventures at all costs, because you’re convinced you’ll hate whatever new and bad-looking food is put on your plate. But why is it that some people are picky eaters while others are willing to try pretty much anything that can be eaten?There’s no single explanation for the picky eating habit. Picky eaters are typically unwilling to try new foods, which can be the result of your DNA and the way you are treated and educated when you are young. Marcia Pelchat, Ph.D., a researcher at the Monell Chemical Senses Center in Philadelphia who specializes in food preferences in humans, tells China Daily, “A group in FinlandCThe trouble of having to charge your smart phone for hours a day could become a thing of the past.British scientists have created a material that replaces the screen glass for phones, i-pad and smartwatches, but uses no power—meaning that they could be charged weekly. The discovery is important because more than 90 percent of a device’s battery power illuminates (照亮)the screen.Technology firms have focused on improving battery life. But the British experts say dealing with the main power-using may give better results. Oxford University engineer Dr Peiman Hosseini, father of the material, told t he Sunday Telegraph, “You have to charge smartwatches each night. But if you had smart glass, you could recharge it just once a week.”The invention uses electrical pulses to create displays that require no power and can be viewed even in direct sunlight. Dr Hosseini’s company, Bodle Technologies, hopes to have a prototype(样机)in a year.Battery life is seen as a major obstruction for modern computing and technology. While thepower of technology and lifestyle gadgets has improved rapidly in recent years, batteries have not kept pace. The success of smart watches, including Apple’s version, is thought to depend on solving this problem because few users are willing to charge a watch every day.Gadget firms are also desperate to solve the problem.Apple, for example, is investigating using fuel cells to power its phones and laptops, and this year had gained a patent for a system that it claimed could power its gadget for weeks.In 2012 US energy secretary Steven Chu called for a big push to improve batteries, challenging scientists to produce a battery with five times the capacity within five years.Aside from mobile gadgets, improving battery technology is seen as key to the success of electric cars, which currently have a limited journey before they must stop to be recharged.17. Who invented the new material?A. Energy secretary.B. Apple Corps.C. Oxford University engineer.D. Technology firms.18 What can we know about the invention?A. It is a kind of glass.B. It is popular with customers.C. It has gained a patent.D. It uses power to charge the phones.19. The author uses the example of Apple in Paragraph 7 to show ________.A. what the key to success isB. why Apple products are popularC. how often batteries must be rechargedD. how gadget firms are making efforts to improve batteries20. What can be inferred from the passage?A. 90% of batteries will be replaced with smart glass.B. It is likely that mobile phones will be recharged once a week.C. Scientists are focusing on increasing the number of batteries.D. Many users are willing to pay more for watches of Apple version.第二节（共5小题，每小题2.5分，满分12.5分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项，并在答题卡上将该项涂黑。

广东省东莞市第四高级中学2024-2025学年高二上学期10月期中考试数学试题一、单选题1．已知点()3,1,4-A ，则点A 关于x 轴对称的点的坐标为（）A ．()3,1,4--B ．()1,3,4-C ．()3,1,4---D ．()4,1,3-2．向量()()2,1,3,1,2,9a x b y ==- ，若a∥b ，则（）A ．1x y ==B ．11,22x y ==-C ．13,62x y ==-D ．12,63x y =-=3．已知直线()12:20,:2120l ax y l x a y +-=+++=，若1l ∥2l ，则a =（）A ．1-或2B ．1C ．1或2-D ．2-4．直线:240l x y ++=被圆()()22:319C x y -++=截得的弦长为（）A ．2B ．C ．4D ．5．如图，平行六面体1111ABCD A B C D -的底面ABCD 是边长为1的正方形，且1160A AD A AB ∠=∠=︒，12AA =，则线段1AC 的长为（）AB CD ．6．若方程2224240x y mx y m m ++-+-=表示一个圆，则实数m 的取值范围是（）A ．1m <-B ．1m <C ．1m >-D ．1m ≥-7．人教A 版选择性必修二教材的封面图案是斐波那契螺旋线，它被誉为自然界最完美的“黄金螺旋”，自然界存在很多斐波那契螺旋线的图案，例如向日葵､鹦鹉螺等．斐波那契螺旋线的画法是:以斐波那契数1，1，2，3，5，8，…为边长的正方形拼成长方形，然后在每个正方形中画一个圆心角为90°的圆弧，这些圆弧所连起来的弧线就是斐波那契螺旋线．下图为该螺旋线在正方形边长为1，1，2，3，5，8的部分，如图建立平面直角坐标系（规定小方格的边长为1），则接下来的一段圆弧所在圆的方程为（）．A ．22144x y +=B ．()()2212144x y -+-=C ．()()2242169x y ++-=D ．()()2242169x y -++=8．在正方体1111ABCD A B C D -中，E F 、分别是棱AB BC 、上的动点，且AE BF =，当1A 、1E F C 、、共面时，直线1C F 和平面1A DE 夹角的正弦值为（）A B C D 二、多选题9．若{},,a b c 是空间的一个基底，则下列各组中能构成空间一个基底的是（）A ．a，2b ，3cB ．a b +，b c +，c a+C ．2a b +，23b c + ，39a c- D ．a b c ++ ，b ，c10．已知圆()221:21C x y ++=，圆()2229:C x y a +-=，则下列结论正确的是（）A ．若1C 和2C 外离，则a >或a <-B ．若1C 和2C 外切，则a =±C ．当0a =时，有且仅有一条直线与1C 和2C 均相切D ．当2a =时，1C 和2C 内含11．如图，边长为1的正方形ABCD 所在平面与正方形ABEF 在平面互相垂直，动点,M N 分别在正方形对角线AC 和BF 上移动，且(0CM BN a a ==<<，则下列结论中正确的有（）A ．(a ∃∈，使12MN CE =B ．线段MN 存在最小值，最小值为23C ．直线MN 与平面ABEF 所成的角恒为45°D ．(a ∀∈，都存在过MN 且与平面BEC 平行的平面三、填空题12．点()3,1P 到直线30x y +-=的距离为.13．直线1:3460l x y -+=与2:340l x y C -+=间的距离为3，则C =.14．已知圆C 1：22(2)(3)1x y -+-=，圆C 2：22(3)(4)9x y -+-=，M ，N 分别是圆C 1，C 2上的动点，P 为x 轴上的动点，则PM PN +的最小值．四、解答题15．已知空间三点(2,0,2),(1,1,2),(3,0,4)A B C ---，设,.a ABb AC ==(1)求a b ⋅ ；(2)若向量ka b +与2ka b - 互相垂直，求实数k 的值.16．如图所示，四棱锥P ABCD -的底面ABCD 是矩形，PB ⊥底面ABCD ，3AB BC ==，3BP =，13CF CP =，13DE DA =.(1)证明：//EF 平面ABP ；(2)求异面直线EF 与PD 所成角的余弦值.17．在平面直角坐标系xOy 中，已知ABC V 的三个顶点(,),(2,1),(2,3)A m n B C -.(1)求BC 边所在直线的方程;(2)若ABC V 的面积等于7，且点A 的坐标满足2360-+=m n ，求点A 的坐标.18．如图，在长方体1111ABCD A B C D -中，11AD AA ==，2AB =，点E 在棱AB 上移动．(1)求证：11D B A D ⊥；(2)当点E 为棱AB 的中点时，求点B 1到平面ECD 1的距离；(3)当AE 为何值时，平面D 1EC 与平面AECD 所成角为π419．已知圆C 过点()2,6A ，()1,3B -，且圆心在直线1y x =+上.(1)求圆C 的方程；(2)设点D 在圆上运动，点()3,2E ，记M 为过D ，E 两点的弦的中点，求M 的轨迹方程；(3)在（2）的条件下，若直线DE 与直线:2l y x =-交于点N ，证明：EM EN 恒为定值.。

2024-2025学年高三数学第一学期9月月考试卷一、单项选择题：本题共 8小题，每小题 5分，共 40分．在每小题给出的四个选项中，只有一项是符合题目要求的.1．已知集合，，（ ）A ．B ．C ． D. 2.已知函数，则下列区间中含零点的是（ ）A. B. C. D. 3若，，，则，，的大小关系为（ ）A. B. C. D. 4. 函数的图象大致是（ ）A. B. C. D.5．已知等差数列的公差不为0，且，，成等比数列，其前项和为，则（ ）A ．B．C ．D ．6.已知把物体放在空气中冷却时，若物体原来的温度是，空气的温度是，则 min 后物体的温度满足公式（其中是一个随着物体与空气的接触状况而定的正常数）．某天小明同学将温度是80℃的牛奶放在20℃空气中，冷却2 min 后牛奶的温度是50℃，则{}2,1,0,1,2M =--202x N xx ⎧⎫+=≥⎨⎬-⎩⎭M N = {}2,1,0,1--{}0,1,2{}2-{}2,2-()()2ln 16f x x x =++-()f x ()0,1()1,2()2,3()3,40.302a =.0.20.3b =0.5log 0.3c =a b c c a b <<b a c<<a b c<<a c b<<ln(2)()1x f x x +=-{}n a 11a =2a 4a 8a n n S 20234045a =5434a a a a <119462a a a a +=+1112n S n n ++=+℃1θ℃0θt ℃θkt e --+=)(010θθθθk下列说法正确的是( )A ．B ．C ．牛奶的温度降至35℃还需4 minD ．牛奶的温度降至35℃还需2 min7．在数字通信中，信号是由数字0和1组成.由于随机因素的干扰，发送的信号0或1有可能被错误地接收为1或0.已知发信号0时，接收为0和1的概率分别为0.9和0.1；发送信号1时，接收为1和0的概率分别为0.95和0.05，若发送信号0和1是等可能的，则接受信号为1的概率为（ ）要求．全部选对的得 6分，部分选对的得部分分，有选错的得 0分．9．下列说法正确的是（ ）A ．样本数据4，4，5，5，7的平均数为6B ．若随机变量满足，则C ．若随机变量服从两点分布，，则D ．若随机变量X 服从正态分布，且，则10. 若正数，满足，则（ ）A. B. C. D. 11．已知定义在上的偶函数和奇函数满足，则（）A ．的图象关于点对称B ．是以8为周期的周期函数2ln =k 2ln 2=k ζ()2E ζ=()213ζ-=E ζ()304ζ==P ()316ζ=D ()22,N σ()120.3P X <<=()30.2P X >=a b 1a b +=22log log 2a b +≤-22a b +≥ln 0+<a b 2212a b +≤R ()f x ()g x ()()21f x g x ++-=()f x ()2,1()f xC ．D ．存在函数,使得对，都有三、填空题：本题共 3小题，每小题 5分，共 15分．12．已知的展开式中，的系数为__________.13.已知函数在区间上单调递减，则的最小值为__________.14.如下图，正方形 A 1B 1C 1D 1 的边长为 14 cm ，A 2 ，B 2 ，C 2，D 2 依次将 A 1B 1 ，B 1C 1 ，C 1D 1，D 1A 1 分为3:4的两部分得到正方形A 2B 2 C 2D 2，依照相同的规律，得到正方形A 3B 3 C 3D 3 、A 4B 4 C 4D 4 、 …、A n B n C n D n . 一只蚂蚁从A 1 出发，沿着路径A 1A 2A 3…A n 爬行，设其爬行的长度为x ，K 为正整数，且x 与K 恒满足不等式 x ≤K ，则K 的最小值是______________.四、解答题：本题共 5小题，共 77分．解答应写出文字说明、证明过程或演算步骤.15.(13分)已知数列{a n }是公差为3的等差数列，数列{b n }是公比为2的等比数列，且a 2+a 4=b 4+2， a 1+a 3=b 2+b 3.（1）求数列{a n }、{b n }的通项公式；（2）设数列的前n 项和为，求证：.16．(13分)我们知道，函数的图象关于坐标原点成中心对称图形的充要条件是函数为奇函数，有同学发现可以将其推广为：函数的图象关于点成中心对称图形的充要条件是函数为奇函数．已知函数．(1)证明：函数是奇函数，并写出函数的对称中心；(2)判断函数的单调性(不用证明)，若，求实数的取值范围．17．(15分)大学毕业生入职某国企需要笔试，笔试题目分为A ，B 两种类型，且两种类型的题目数量20241(42)2024k f k =-=∑()h x x R ∀∈()()||hg x x =32)1)(1(-++x x x 4x )2(2)(x x x f -=),[+∞a a }9{1+n n a a n S 121<≤n S ()y f x =()y f x =()y f x =(),P a b ()y f x a b =+-()1212xf x -=+1)1()(-+=x f x g )(x f ()f x 0)24()1(2>-+--a g a g a相同，每个笔试者选择2题作答，第1题从A ，B 两类试题中随机选择1题作答，笔试者若答对第1题，则第2题选择同一类试题作答的概率为，若答错第1题，则第2题选择同一类试题作答的概率为，试题不重复选择．已知甲答对A 类试题的概率均为，答对B 类试题的概率均为，且每道试题答对与否相互独立．(1)求甲两题均选择A 类试题作答的概率；(2)若甲第1题选择B 类试题作答，设甲答对的试题数为，求的分布列与期望．18．(17分)设函数，(1) 当时，求曲线在点处的切线方程；(2) 讨论函数的单调性；(3) 设，当时，若对任意，存在，使，求实数取值范围.19．(17分)代数基本定理是数学中最重要的定理之一，其内容为：任何一元次复系数多项式方程至少有一个复数根．由代数基本定理可以得到：任何一元次复系数多项式在复数集中可以分解为个一次因式的乘积．进而，一元次复系数多项式方程有个复数根（重根按重数计）．例如: 对于一元二次实系数方程，在时的求根公式为;在时的求根公式为．所以由代数基本定理，任意一个一元二次实系数多项式可以因式分解为．(1) 在复数集中解方程：；23131223X X ()()e 0mxf x x m =≠1=m ()y f x =()()1,1f ()f x ()224g x x bx =-+1m =1R x ∈[]21,2x ∈()()12f x g x ≥b ()*N n n ∈()0f x =()*N n n ∈()f x n ()*N n n ∈n 20(a 0)++=≠ax bx c 0∆≥x =0∆<ai ac b b x 242⋅--±-=）（2(0)ax bx c a ++≠()()212++=--ax bx c a x x x x C 210x x ++=(2)（i ）在复数集中解方程：；（ii ）写出一个以、、、为根的一元六次实系数多项式方程；（结果表示为不超过二次的实系数的多项式的乘积，不需要写证明过程）；(3) 已知一元十次实系数多项式满足，求的值．C 4322x x x +-=12-13i +1i -2()f x )10,,2,1,0(11)( =+=k k k f ()11f2024-2025学年高三数学第一学期9月月考试卷参考答案12．-2 13．1 14．2115.解：（1）由题意得，解得：……………………………4分因为数列{a n }是公差为3，数列{b n }是公比为2，所以， …………………………6分（2）由（1）得： ……………………………8分……………………………10分易知在上单调递增，故当时，取最小值，又恒成立，所以，. ………………………………………13分16.解（1）：由题意，令， …………………1分显然函数的定义域为全体实数，它关于原点对称，…………………2分且， …………………4分所以函数是奇函数， …………………5分所以函数的图象关于点对称. …………………6分（2）由复合函数单调性可知在上单调递增（定义域不写也可以）， ……………9分由（1）知函数是奇函数， ………………11分又，即，，所以，函数在上单调递增，所以，，， …………………13分解得，所以实数的取值范围为.…………………15分17．（1）若甲第1题选择类试题作答并且答错，则第2题选择类试题作答的概率， 题号1234567891011答案CCCDCDBDBCDABCABC⎩⎨⎧=++=+111166228122b a b a 2,311==b a nn n b n a 2,3==111)1(1)1(33991+-=+=+⋅=+n n n n n n a a n n 111111)4131()3121()2111(+-=+-++-+-+-=n n n S n ）（ 111+-=n y *N 1=n n S 21)(1*N n S n ∈<121<≤n S ()1212x f x -=+()()211112xg x f x -=+-=-+()g x ()()12222112012122112x x x x xg x g x +-⎛⎫⎛⎫+-=-+-=+-= ⎪ ⎪++++⎝⎭⎝⎭()2112xg x -=-+()f x ()1,1()1212x f x -=+R ()2112xg x -=-+)42()24(-=--a g a g 0)24()1(2>-+--a g a g )42()1(2->--a g a g ()2112xg x -=-+R 4212->--a a 2230a a +-<31a -<<a ()3,1-A A 1111122312P =⨯⨯=若甲第1题选择类试题作答并且答对，则第2题选择类试题作答的概率，故甲2题均选择类试题作答的概率； ...........................................6分（2）由题可知，的所有可能取值为0，1，2，则， .......................................8分， .......................................10分， .......................................12分故的分布列为：012...................................................13分则． ...................................................15分18．（1） ， .................................................1分所以，切线斜率，切点坐标为 .................................................3分则曲线在点处的切线方程为，即，............................................4分（2）令，所以，当时，，此时在上单调递减，在上单调递增;.......................................6分当时，，此时在上单调递增，在上单调递减........................................8分A A 211212236P =⨯⨯=A 1111264P =+=X 1111214(0)33333227P X ==⨯⨯+⨯⨯=2212111121214(1)3333323333329P X ==⨯⨯+⨯⨯+⨯⨯+⨯⨯=22221111(2)33333227P X ==⨯⨯+⨯⨯=X XP427491127441134()0122792727E X =⨯+⨯+⨯=x xe x f =)(x e x x f )1()('+=e f k 2)1('==),1(e ()y f x =()()1,1f )1(2-=-x e e y 02=--e y ex ()()1e 0mxf x mx '=+>10mx +>0m >1x m>-()f x 1,m ⎛⎫-∞- ⎪⎝⎭1,m ⎛⎫-+∞ ⎪⎝⎭0m <1x m <-()f x 1,m ⎛⎫-∞- ⎪⎝⎭1,m ⎛⎫-+∞ ⎪⎝⎭（3）当时，在上单调递减，在上单调递增，所以对任意，有，.......................................9分又已知存在，使， 所以，即存在，使，.......................................10分解法1：函数的对称轴，①当时，在区间上单调递增，所以，，，不存在；.......................................12分②当时，在区间上单调递减，在区间上单调递增，所以，，，不存在；....................................14分③当时，在区间上单调递减，所以，，； ....................................16分综上，实数的取值范围是........................................17分解法2：分离参数得：，设，.......................................11分因为， .......................................12分所以，当时，，;当时，或，即函数的减区间为，，所以，当时，函数为减函数，（直接先写出函数在区间上导数为负，也可以）.......................................14分1m =()f x (),1∞--()1,-+∞1R x ∈()11(1)ef x f ≥-=-[]21,2x ∈()()12f xg x ≥()221,[1,2]eg x x -≥∈[]1,2x ∈21()24eg x x bx =-+≤-)(x g b x =1≤b )(x g ]2,1[e b g x g 125)1()(min -≤-==1215>+≥ee b b 21<<b )(x g ),1[b ]2,(b e b b g x g 14)()(2min -≤-==214>+≥eb b 2≥b )(x g ]2,1[e b g x g 148)2()(min -≤-==2412>+≥eb b 12,4e ⎡⎫++∞⎪⎢⎣⎭14e 2b x x -+≥+14e y x x-+=+()211224e 4e 1x y x x---++'=-=0'>y x >x <)+∞(,-∞0'<y 0x <<0x <<()([1,2]x ∈14e y x x-+=+]2,1[所以，，所以，，即实数取值范围是. .......................................16分所以，实数的取值范围是........................................17分19．（1）方程，则，所以、即原方程在复数集.......................................4分（2）（i ）因为，所以，即，即，所以，，，即原方程在复数集中解为，.......................................6分（ii ）因为为该方程（实系数）为根，则也为方程的根，为该方程（实系数）为根，则也为方程的根，又与可为方程的两个虚根；与可为方程的两个虚根；所以以、、、为根的一元六次实系数多项式方程可以为........................................8分（3）依题意可得，令，因为十一次多项式方程有个根， ............................10分令， ......................................12分所以， 令，可得，所以， 所以, .......................................14分14e 11[1,2],4,52e e x x x -+⎡⎤∈+∈++⎢⎥⎣⎦1242e b ≥+b 124eb ≥+b 12,4e ⎡⎫++∞⎪⎢⎣⎭210x x ++=214113∆=-⨯⨯=-1x =2x =C 4322x x x +-=()()3220x x x +-+=()()3210x x +-=()()()22110x x x x +-++=32x =-41x =5x =6x =C 2-11i +1i -2i -2i +1i +1i -2220x x +=-2i -2i +2450x x -+=12-131i +2i -()()()()22213122450x x x x x x +--+-+=()()()1100,1,2,,10k f k k +-== ()()()11g x x f x =+-()()()110g x x f x =+-=110,1,2,,10x = ()()()()1210g x ax x x x =--- ()0a ≠()()()()()111210x f x ax x x x +-=--- =1x -()()()()112311a -=-⨯-⨯-- 111!a =()()()()1121011!g x x x x x =---所以,， .......................................15分因为,，所以, ......................................17分()()()()()1111121011111!f x g x x x x x x x ⎡⎤=+=---+⎡⎤⎣⎦⎢⎥++⎣⎦()11111101111!g =⨯⨯⨯⨯= 61)1)11((121)11(=+=g f。

广东省东莞市第四高级中学2025届高三下学期统练（4）物理试题注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置．3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B 铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效．5．如需作图，须用2B 铅笔绘、写清楚，线条、符号等须加黑、加粗．一、单项选择题：本题共6小题，每小题4分，共24分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1、如图所示，OAB 为四分之一圆柱体的竖直截面，半径为R ，在B 点上方的C 点水平抛出一个小球，小球轨迹恰好在D 点与圆柱体相切，OD 与OB 的夹角为53°，则C 点到B 点的距离为（sin53°＝0.8，cos53°＝0.6）（ ）A ．415RB ．215RC ．2RD ．3R 2、如图，绝缘光滑圆环竖直放置，a 、b 、c 为三个套在圆环上可自由滑动的空心带电小球，已知小球c 位于圆环最高点，ac 连线与竖直方向成60°角，bc 连线与竖直方向成30°角，三个小球均处于静止状态。

下列说法正确的是（ ）A ．a 、b 、c 小球带同种电荷B ．a 、b 小球带异种电荷，b 、c 小球带同种电荷C ．a 、b 小球电量之比为36D ．a 、b 小球电量之比393、一列简谐横波沿x 轴负方向传播，0t =时刻的波形图象如图所示，此时刻开始介质中 1.0m x =的质点P 经0.25s 第一次回到平衡位置。

则下列说法中正确的是（ ）A．0t=时刻质点P向x轴正方向运动B．简谐横波的周期为0.8sC．简谐横波传播的速度为4m/sD．质点P经过平衡位置向上运动时开始计时的振动方程为1010sin(cm)3y tπ=4、如图所示，A、B、C是光滑绝缘斜面上的三个点，Q是一带正电的固定点电荷，Q、B连线垂直于斜面，Q、A连线与Q、C连线长度相等，带正电的小物块从A点以初速度v沿斜面向下运动。

广东省东莞市第四高级中学2024-2025学年高三上学期11月期中英语试题一、阅读理解Environmental charities play a crucial role in preserving our planet for future generations. Here’s a look at how a few of these organizations are making a difference.Sierra Club Foundation (SCF)The SCF has been a leader in environmental conservation for over a century. With a focus on wildlife protection and habitat restoration, the foundation has helped establish numerous national parks and wildlife reserves. They also run educational programs to raise awareness about environmental issues.Friends of the Earth (FOE)Friends of the Earth is an international network of environmental organizations that advocate for the protection of the natural world. They are known for their activism and persuading efforts, pushing for stronger environmental laws and corporate responsibility. FOE also provides resources to help individuals make sustainable choices.Environmental Defense Fund (EDF)The EDF is a global organization dedicated to addressing climate change and preserving biodiversity. They use science, economics, and law to find environmental solutions that work with industry and government. Their initiatives have led to significant policy changes and corporate responsibility improvements.Ecology and Environment Foundation (EEF)The EEF is a charitable organization that focuses on community-based conservation projects. They work closely with local communities to develop sustainable practices that protect the environment and improve livelihoods. By empowering individuals and communities, EEF aims to create lasting change.1．What is the primary mission of the Sierra Club Foundation?A．Relying on stronger environmental laws.B．Setting up national parks and wildlife reserves.C．Providing resources for sustainable living.D．Appealing to corporate responsibility.2．How does the Environmental Defense Fund (EDF) mainly operate?A．Through community-based conservation projects.B．By using science, economics, and law to find solutions.C．By running educational programs for the public.D．By selling goods and asking for help.3．What is a unique approach of the Ecology and Environment Foundation (EEF)?A．Working with industry and government to create policy changes.B．Advocating for the protection of the natural world through activism.C．Using science and economics to address climate change.D．Granting rights of local communities to develop sustainable practices.Sandra Cisneros was born in Chicago in 1954 to a Mexican American family. As the only girl in a family of seven children, she often felt like she had “seven fathers,” because her six brothers, as well as her father, tried to control her. Feeling shy and unimportant, she retreated (躲避) into books. Despite her love of reading, she did not do well in elementary school because she was too shy to participate.In high school, with the encouragement of one particular teacher, Cisneros improved her grades and worked for the school literary magazine. Her father encouraged her to go to college because he thought it would be a good way for her to find a husband. Cisneros did attend college, but instead of searching for a husband, she found a teacher who helped her join the famous graduate writing program at the University of Iowa. At the university’s Writers’ Workshop, however, she felt lonely — a Mexican American from a poor neighborhood among students from wealthy families. The feeling of being so different helped Cisneros find her “creative voice”.“It was not until this moment when I considered myself truly different that my writing acquired a voice. I knew I was a Mexican woman, but I didn’t think it had anything to do with why I felt so much imbalance in my life, but it had everything to do with it! That’s when I decided I would write about something my classmates couldn’t write about.”Cisneros published her first work, The House on Mango Street, when she was twenty-nine.The book talks about a young Mexican American girl growing up in a Spanish-speaking area in Chicago, much like the neighborhoods in which Cisneros lived as a child. The book won an award in 1985 and has been used in classes from high school to graduate school level. Since then, Cisneros has published several books of poetry, a children’s book and a short-story collection. 4．What can we know about Cisneros in her childhood?A．Her brothers disliked her.B．She felt herself a nobody.C．She was too shy to go to school.D．She did not meet any good teachers.5．The graduate program gave Cisneros a chance to ________.A．run away from her family B．develop her writing styleC．make a lot of friends D．search for a husband6．According to Cisneros, what was the key factor in her success?A．Her childhood experience.B．Her training in the Workshop.C．Her feeling of being different.D．Her early years in college.7．What do we learn about The House on Mango Street?A．It enjoys great popularity among students.B．It is a book of poetry written by Cisneros.C．It wasn’t a success as it was written in Spanish.D．It won an award when Cisneros was twenty-nine.The news industry has had a rough decade. Print readership is steadily decreasing, newspapers are closing, and journalists with decades of experience are being laid off. In response, major newspapers have made significant changes. They’re attempting to defeat declining reader interest by shortening stories, creating clickbait (诱饵性标题), and most especially, using social media to their advantage.With the rise of social media sites, many people have claimed that we are entering a new age in which news must be delivered in 140 characters or fewer. People’s ability to focus onlong-form content and engage in deep reading has also been declining due to the endless distractions and excessive information in today’s world. This change in reading habits has led to a preference for short, easily understood news pieces that can be quickly consumed. To interest a more specific and generally younger readership, newspapers have revised content, prioritizing articles that are visually appealing instead of having depth.But, in reality, there is still a demand for in-depth reporting. In this era of misinformation and clickbait, readers are seeking reliable sources of news that provide context, analysis, and accountability. Depth reporting explores the fundamental causes, involves multiple views, and uncovers the hidden truths that shape our world, helping readers get a more comprehensive understanding of complex matters.While social media have changed the way we consume news, the quality of news remains essential for the public. It’s crucial for the news industry to achieve a balance between catering to changing reader preferences while also maintaining the integrity (完整性) of news. This means providing both quick updates and in-depth analysis, and using social media to promote their content, but not at the expense of accuracy or integrity. By doing so, news organizations can ensure that they remain relevant and trusted sources of information in a rapidly changing media environment.8．What problem does traditional news industry face?A．The decline of readership.B．The lack of long-form stories.C．The spread of unreliable information.D．The shortage of experienced journalists.9．What does the underlined word “prioritizing” in paragraph 2 probably mean?A．Checking out.B．Cutting down.C．Paying no attention to.D．Attaching importance to.10．What do we know from paragraph 3?A．People’s need for in-depth reporting is decreasing.B．Social media has played a key role in promoting hidden facts.C．Clickbait greatly increases readers’ interests in exploring truths.D．In-depth reporting can improve comprehension of complex issues.11．What is the main idea of the last paragraph?A．A focus on quick updates and popular topics.B．Preference for multiple perspectives and shorter articles.C．A balance between readers’ preferences and the quality of news.D．Importance of news sources and accuracy of contents.About ten years ago, logging into Facebook, Twitter, or Instagram would mostly show posts from friends and family in the order they were posted. Today, these platforms present a mix of content, tailored by algorithms (算法) to match users’ interests, whether it’s plants, sports, cats, or politics.Kyle Chayka, a writer for The New Yorker, discusses this topic in his book, Filterworld. He explains that algorithms analyze user data to predict and influence what they will likely engage with. This means that instead of a simple, chronological feed, users encounter a dynamic stream, constantly adapting to their preferences. Chayka examines how these algorithmic recommendations control what we consume, from music and movies to food and travel destinations. He argues that this machine-driven selection process has turned us into passive consumers, making our preferences and tastes more similar.Chayka points out that algorithms make us passive by always showing us content that we’re unlikely to click away from but won’t find too unexpected or challenging. This constant stream of recommendations reduces our exposure to diverse or challenging content, subtly shaping our preferences and behaviors.Moreover, Chayka points out that algorithms also pressure content creators, like musicians and artists, to tailor their work to fit these digital platforms. For instance, musicians on Spotify or TikTok might focus on creating catchy hooks at the beginning of their songs to grab the listener’s attention.Despite the strong presence of these algorithms, Chayka believes that regulation could reduce their influence. He suggests that if Meta, the parent company of Facebook, were required to separate its various services, like Instagram or WhatsApp, and make them compete with each other, it could give users more control and choice over their digital consumption.In summary, the change from simple, time-ordered social. media posts to algorithm-drivencontent has a big impact on both the viewers and the creators, influencing what we see, hear, and even think. Chayka’s insights highlight the need for greater awareness and potentially more regulation in our increasingly digital world.12．According to the text, how have social media platforms changed in the past ten years?A．They show posts in a time-based order.B．They prioritize posts from friends and family.C．They make adjustments to satisfy users’ needs.D．They provide more content to meet different needs.13．What does Kyle Chayka think of algorithmic recommendations?A．They make users more active consumers.B．They shape users’ preferences and behaviors.C．They reduce the influence of content creators.D．They expose users to diverse and challenging content.14．How do algorithms influence musicians’ work on digital platforms?A．By encouraging musicians to create longer songs.B．By discouraging musicians from using catchy hooks.C．By giving musicians more control and choice over their music.D．By requiring musicians to create their work to fit the platforms.15．What can be concluded from the text?A．Tech companies should have more departments.B．Social media algorithms give content creators less opportunities.C．Social media algorithms flatten our culture by making decisions for us.D．Network platforms have increased the common recommendations for 10 years.Art is all around us. It can be found everywhere, including fancy galleries, people’s living rooms, and on the sides of buildings. So, why is art important?It promotes expression and creativity. As humans, we’re naturally drawn to art as a form of expression and communication. 16 It’s a way for them to express themselves before they’re able to speak. In fact, participation in the arts may even assist kids with language, motor skills, and visual learning development.17 When someone applies for a job, there are certain skills they need to have like data analysis or bookkeeping. However, many employers also understand the very important need for the skills which are hard to measure and often difficult to define. Some examples include a person’s ability to adapt to change, think creatively, or collaborate with team members.It provides historical context. 18 This is why people devote their lives to studying cave art, Shakespearean plays, and so much more. When we take the time to dive into art created in the past, we can learn about other generations and eras. We can study art to find out what those before us were facing and how they overcame it. 19In therapy(疗法)settings, art also provides an opportunity for digging deeper and expressing emotions that are difficult to discuss. 20 In one important study, children between 6 and 12 were asked to draw a house as a distraction after thinking about something upsetting. This group was able to improve their mood when compared with children who were instructed to draw the negative event or simply copy another drawing.A．These are its major benefits.B．Children love to draw, sing, and dance.C．Art and human history go hand-in-hand.D．How does it have an impact on our life?E．It helps all of us develop necessary soft skills.F．It can help people handle both their past and present problems.G．Similarly, future generations will learn about our current events through our art.二、完形填空My mother has always been one of those rare people that sees the good in everyone and does good things. She’s had her ups and downs but has always 21 a positive, sunny outlook on life and been very 22 to people.One day, my little sister fell and hurt her ankle, desperately needing a 23 to the hospital emergency room. My mother immediately 24 into crisis mode, packed my sister into the car, and drove to our local hospital. In such a 25 , my mother didn’t call to tell my father. When she got to the hospital, she realized she needed to 26 with my father immediately.While waiting for my sister to be examined, my mother 27 her way to the pay phone to place her call. She put her coin in, called my father and told him everything. After she hung up, the phone 28 several additional coins that Mom wasn’t owed.Realizing that the phone was 29 , my mother decided to leave the 30 coins by the phone. She told us that in a crisis, people might not remember to bring 31 with them to make that emergency call.I’ve often thought about her 32 from an adult’s perspective. I realize that someone seeing the money by he phone may have 33 taken it because not everyone was as 34 as my mother. But I like to believe that my mother’s faith was 35 and that someone who needed them found the coins waiting there.21．A．tolerated B．anticipated C．maintained D．expressed 22．A．patient B．helpful C．honest D．polite 23．A．rest B．stay C．lift D．visit24．A．cut B．shifted C．looked D．stuck 25．A．rush B．way C．relief D．process 26．A．come along B．keep in line C．make up D．get in touch 27．A．made B．felt C．picked D．gave 28．A．found B．returned C．collected D．charged 29．A．smart B．ready C．convenient D．broken 30．A．different B．ancient C．extra D．rare31．A．luck B．phones C．change D．chances 32．A．opportunity B．decision C．appointment D．encounter 33．A．simply B．suddenly C．obviously D．gradually 34．A．thoughtful B．grateful C．hopeful D．successful 35．A．hard-won B．newly-built C．well-placed D．deeply-rooted三、语法填空阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。