山西省2012高考英语二轮复习专题训练：短文改错+写作(12)
山西省2012高考英语二轮复习专题训练：短文改错+写作(80)
山西省2012高考英语二轮复习专题训练：短文改错+写作（80）短文改错此题要求改正所给短文的错误。
对标有题号的每一行作出判断：如无错误，在该行右边横线上画一个勾（√）；如有错误（每行只有一个错误），则按下列情况改正：该行多一个词：把多余的词用斜线（＼）划掉；在该行右边横线上写出该词，并也用斜线划掉；该行缺一个词：在缺词处加一个漏字符号（∧）；在该行右边横线上写出该加的词；该行错一个词，在错的词下划一个横线；在该行右边横线上写出改正后的词。
注意：原行没有错的不要改。
Nowadays, paper still come from trees. Unfortunately, we use a 1. ________ lot of paper every day. We must not waste paper and there will 2. ________ not be any trees leaving on Earth. No trees means no paper. We 3. ________ need 17 trees make one ton of paper. We must start using less 4. ________ paper now because it takes about 100 years of a tree to grow. 5. ________ How can we save paper? Firstly, we can use both the sides 6. ________of every sheet of paper. We can re - use envelope. We can choose7. ________drinks in bottles instead of drinks in cardboard cartons. We can 8. ________ re - use plastic cups and plates instead of paper ones. We can also9. ________use handkerchiefs instead of paper tissues. We can use less paper10. ________shopping bags and we can re - use these paper bags later as well.书面表达根据下面的提示，写一篇约100个单词的英语短文。
山西省2012高考英语二轮复习专题训练 短文改错+写作(50).pdf
北师大年级第章
6.1 频率与概率
学习目标：．某学校有320名学生，现对他们的生日进行统计(可以不同年)_________．[ ]
A．至少有两人生日相同
B．不可能有两人生日相同
C．可能有两人生日相同，且可能性较大
D．可能有两人生日相同，但可能性较小
A、①②③
B、①②④
C、①③④
D、②③④
4.下列事件是必然事件的是（ ）
A、重庆人都爱吃火锅
B、某校随机检查20名学生的血型，其中必有A型
C、内错角相等，两直线平行
D、在数轴上，到原点距离相等的点所表示的数一定相等；
一、有400位同学，其中一定有至少两人生日相同吗？若有367位同学呢？说说你的理由.
二、通过本节实验，你发现50位同学中有至少两位同学出生月日相同的频率占多少，估计这个情况的概率是多少？
三、通过本节学习，我们发现有些实验估计起来既费时，又费力，可以用摸球实验或其他模拟实验.
（1）请再回顾一下我们是怎样将复杂的调查转化成模球实验的？
（2）请熟悉你的计算器产生随机数字的操作程序.
四、取出一副扑克中的红桃A至红桃K共13张牌，牌面朝下放在桌面上，每次摸取一张看后放回，共摸取4次，试用计算器产生的随机数进行摸拟实验.
参考答案
一、40位同学中一定有生日相同的两个人，367人中也一定有生日相同的两个人.
二、三、四均为实际操作，略
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新知识点要小心呦！。
山西省2012高考英语二轮复习专题训练 短文改错+写作(3).pdf
课 题3.1平行四边形（三）课型新授课教学目标1．经历探索、猜想、证明的过程，进一步发展推理论证的能力。
2．能运用综合法证明有关定理的结论。
3．理解在证明过程中所运用的归纳、类比、转化等思想方法。
教学重点掌握和运用三角形中位线定理。
教学难点三角形中位线定理的证明。
教学方法讲练结合法教学后记
教 学 内 容 及 过 程备注一、创设情境
实验：请同学们思考：将任意一个三角形分成四个全等的三角形。
你是如何切割的？
活动：将学生分成四人小组，将准备好的三角形模型进行拼摆。
并互相交流。
定义：连接三角形两边中点的线段叫做三角形的中位线。
想一想
三角形的中位线与第三边有怎样的关系？能证明你的猜想吗？
学生根据提示证明猜想。
定理 三角形的中位线平行与第三边，且等于第三边的一半。
拓展：利用这一定理，你能证明出分割出来的四个小三角形全等吗？
学生口述理由。
二、合作交流、拓展延伸
做一做
如图，任意作一个四边形，并将其四边的
中点依次连接起来，得到一个新的四边形，
这个新的四边形的形状有什么特征？请证
明你的结论，并与同伴交流。
学生书写证明过程。
三、随堂练习
课本随堂练习 1
学生独立练习。
四、课堂总结
学生自己小结
五、布置作业
课本习题3.3 1、2、3、4
初中学习网，资料共分享！我们负责传递知识！。
山西省2012高考英语二轮复习专题训练：短文改错+写作(79)
山西省2012高考英语二轮复习专题训练：短文改错+写作（79）短文改错My family lived on a farm when I was a little boy.We often play games together, such as hide-and-seek. 1. ____One of us would hide and others would try to find him. 2. ____I remember a time I hid behind some old wood in the cottage. 3. ____All was silent. I couldn’t hear a sound, just the wind blow. 4. ____I was scared. And the longer I waited for, the more scared I became. 5. ____Eventual, I heard footsteps coming down the yard. 6. ____I saw my brother getting closer and closer. 7. ____When he saw me, he laughed loudly, shouting in the top of his voice 8. ____so that someone could hear him say, “Eh, I’ve found our Tommy!”9. ____Though it was long time before, I can still see the look on his face today.10. ____书面表达2008年一月中国南方大部分地区遭遇了前所未有的低温暴风雪恶劣天气，请你以王明的名义，根据提示（需适当补充细节），给某报社的编辑写信。
山西省2012高考英语二轮复习专题训练 短文改错+写作(68).pdf
学 生 自 主 学 习 方 案七年级 班 小组： 姓名： 科 目语文课题编号7-1-035设 计刘 瑾审核呼雄芳督查李延刚课时1学习目标1、通过复述故事情节，理解本文联想与想像手法的运用。
2、感受文中所表现的喜悦之情。
3、了解神话故事的特点链接 1、作者 袁珂，1916年生，神话学家。
现为四川省社会科学院研究员。
著有《中国古神话》、《古神话选释》、《山海经校注》等 2、写作背景 课文是根据《风俗通》里的有关女娲造人的记载改编的。
作者以大胆新奇的想象在原有故事的基础上进行富有人性化的演绎与扩充，再现女娲造人的整个过程，使得这个古老的传说充满生活气息，焕发出迷人的光彩。
3、神话是远古人民表现对自然及文化现象的理解与想象的故事。
它是人类早期的不自觉的艺术创作。
神话并非现实生活的科学反映，而是由于远古时代生产力的水平很低，人们不能科学地解释世界、自然现象和原始社会文化生活的起源和变化，以他们贫乏的生活经验为基础，借想象和幻想把自然力和客观世界拟人化的结果。
1、给下列加点字注音。
女娲（ ） 澄澈（ ）（ ） 掘起（ ） 掺和（ ） 莽莽榛榛（ ）（ ） 踪迹（ ） 、填空、简答。
（1）本文选，是（谁）根据古代神话改写的，其体裁是，它详细叙述了的具体过程，着力刻画了女娲的母亲形象。
1、让学生仔细品味课后练习一中《风俗通》里两则短文，看看课文中丰富了哪几个情节？同学们看看哪里最想象力？ 、 3、讨论：结合文中想象的情节,体会女娲形象。
完成句式：女娲是一个 课堂延伸 科技发展的今天，你是怎样看待这个故事的，与同学们讨论讨论。
检测反馈 ①她工作着，工作着，一直工作到晚霞布满天空，星星和月亮射出幽光。
夜深了，她只把头枕在山崖上，略睡一睡，第二天，天刚微明，她又赶紧起来继续工作。
②她一心要让这些灵敏的小生物布满大地。
但是，大地毕竟太大了，她工作了许久，还没有达到她的意愿，而她本人已经疲倦不堪了。
③最后，她想出了一个绝妙的创造人类的方法。
山西省2012高考英语二轮复习专题训练：短文改错+写作(55)
山西省2012高考英语二轮复习专题训练：短文改错+写作（55）短文改错假如英语课上老师要求同桌之间交换修改作文，请你修改你同桌的以下作文。
文中共有10处语言错误，每句中最多有两处。
每处错误仅涉及一个单词的增加，删除或修改。
增加：在缺词处加一个漏字符号(A)，并在其下面写出该加的词。
删除：把多余的词用斜线(＼)划掉。
修改：在错的词下划一横线，并在该词下面写出修改后的词。
注意：1．每处错误及其修改均仅限一词；2．只允许修改10处，多者（从第11处起）不计分。
After supper Liu Wei came and ask me to go and see a film with film. In our way to the cinema, we saw the little girl sitting by the roadside crying. We bought her a cake to stop her cry. When we asked she lived, she said she did not know. So we took him to the police station and asked the polices to take care of her. After that we went to the cinema. And when we got there, the movie was almost over. Although we missed the movie, but we felt very happy because we did a well deed.书面表达假如你叫王敏，是一名高三年级的学生，在学习英语的过程中你遇到一些问题，想得到老师的帮助。
现在请给你的英语老师Miss Li写一封求助信，内容如下：注意：1．内容包括所有要点，可以适当发挥，不要简单翻译；2．词数100左右。
山西省2012高考英语二轮复习专题训练 短文改错+写作(62).pdf
山西省2012高考英语二轮复习专题训练：短文改错+写作（62） 短文改错此题要求改正所有短文中的错误。
对标有题号的每一行做出判断：如无错误，在该行右边横线上画一个勾（）；如有错误（每行只有一个错误），则按下列情况改正：此行多一个词：把多余的词用斜线（\）划掉，在该行右边横线上写出该词，并也用斜线划掉。
此行缺一个词：在缺词处加一个漏字符号）,在该行右边横线上写出该加的词。
此行错一个词：在错词下划一横线，在该行右边横线上写出改正后的词。
注意：原行没有错的不要改。
Time flies as an arrow. I'm already in the second half 1.______ of Senior Grade 3 before I realized it. It is only a little more 2.______ than one month before I graduate middle school. At 3.______ the present, I'm busy reviewing my lessons in order to 4.______ taking the college entrance examination. I hope to go to 5.______ Beijing University, that is one of the best universities not 6.______ only in China but also in the world. I'll try my best to turn 7.______ my dream to reality. Most of my classmates are also 8.______ studying very hard to realize our wishes. I do believe everyone 9.______ will be able to enter a very good university and college. 10.______ 书面表达请根据以下表格中的信息介绍2010年上海世博会：?时间?2010年五月一日——十月三十一日?地点?上海?主题?城市让生活更美好?宗旨?促进城市多元化、经济的繁荣、科技的创新?参展者?200多个国家、机构和7000万人参加，展示各国在工农业、科学、技术、文化艺术方面所取得的成就。
山西省2012高考英语二轮复习专题训练 短文改错+写作(30).pdf
1012+2×101×99+992=(101+99)2=(__________)2=__________.
§2.3 公式法
班级： __________
姓名：__________
一、填空题
1.配方法解一元二次方程的基本思路是：
a,b,c的值代入公式，x1，2=____________求得方程的解.
4.方程3x2－8=7x化为一般形式是________，a=__________,b=__________,c=__________,方程的根
x1=__________,x2=__________.
二、选择题
1.用公式法解方程3x2+4=12x，下列代入公式正确的是
3.一般形式 二次项系数、一次项系数、常数项 b2－4ac≥0
4.3x2－7x－8=0 3 －7 －8
二、1.D 2.B 3.B 4.D
三、1.解：a=5,b=2,c=－1
∴Δ=b2－4ac=4+4×5×1=24＞0
∴x1·2=∴x1=2.解：a=6,b=13,c=6 ∴Δ=b2－4ac=169－4×6×6=25＞0 ∴x1·2=∴x1=－,x2=－ 3.解：整理，得：x2+6x+2=0 ∴a=1,b=6,c=2 ∴Δ=b2－4ac=36－4×1×2=28＞0 ∴x1·2==－3± ∴x1=－3+,x2=－3－ 四、解：若A=13，即4x2+2x－1=3x2－2 整理，得x2+2x+1=0 ∴(x+1)2=0,∴x1=x2=－1 ∴当x=－1时，A=13. 初中学习网，资料共分享！我们负责传递知识！
A.x1、2=B.x1、2=C.x1、2=D.x1、2=2.方程x2+3x=14的解是
2012高考英语短文改错__专题
高考英语短文改错短文改错常见错误类型1. 谓语动词的错误是历年考试的重点和热点常见动词错误类型有①一般现在时与一般过去时错用；② and 前后动词时态不一致;③主谓不一致; ④缺少动词,特别是be动词;⑤第三人称单数形式错用; ⑥主动语态和被动语态错用。
1）They did not want me to do any work at home; they want me to devote all my time to my studies.（did 改为do 错误类型属于①）2）As we climbed the mountain, we fed monkeys, visiting temples and told stories. (visiting 改为visited错误类型属于②)3）There will an important game next month.(will后加be错误类型属于④) 4）One evening she told me that something happened when her parents was out.( ③主谓不一致)2. 名词的常见错误单复数名词错用；注意区分名词是可数还是不可数；或根据名词前的修饰语或谓语动词的单复数来判断。
①I‟ll get good marks in all my subject.（subject 改为subjects）② Their word were a great encouragement to me.（word 改为words）③ Without enough knowledges, you can never teach well.（knowledges改为knowledge）3. 连词错误连词包括关系代词、副词，并列连词and/ or/but等（一般考查从句关系who/whom/whose/what/which/how/why/when/where/if/whether ）① I have a good friend who‟s name is Liu Mei. (错用了who的所有格形式改为whose)② I teach them, play with them, but watch them growing up.(此处应该是并列的关系而非转折，but改为and)③ Clever as she is, but she works very hard.④ When I was a child, rain was a mystery. In one class, I learned it rained.4. 冠词错误误用a和an（根据单词的因素来判定）；误用a 和the（固定搭配，各自单独使用的地方）多余的冠词或则少冠词。
2012届高考英语短文改错练习题及答案
2012届高考英语短文改错练习题及答案Dear editor,In the past my hometown was used to be a beautiful place. 1.______Thick trees and green grass could be seen in everywhere. In 2.______order to build house and grow more crops, people cut down 3.______more and more trees. With time went on, the whole forest was 4.______almost destroyed. Gradually the green hills have changed into 5.______wasteland. As a result, sandstorms struck us now and then, from 6.______which we suffer a lot. However, I do hope all the people should 7.______realize the terribly result of not caring about our environment. 8.______What's more, they should take good care of the forests and plant 9.______trees instead cutting them down to improve our living conditions. 10._____短文改错答案1.去掉was2.去掉in3.house→houses4.With→As或went →going5.√6.struck→strike7.However→So8.terribly→terrible9.they→we 10.instead后加of高考英语短文改错练习题及答案短文改错（1）Last Sunday I saw the worst storm in years. It camesudden and went on for over three hours. After lunch, I 1. _____went into my room to have a rest. The air was hotter, and 2. _____all is quiet. Then a strong wind started to blow into my 3. _____room. Pieces of paper on my desk flew high into the air 4. _____and some flew out the open window. As I ran out to catch 5. _____them, big drop of rain began to fall. When I came back 6. _____into house, it was raining harder and harder. I tried 7. _____very hard to close the window. Then I heard a loudly 8. _____crashing(碰撞的)sound from the back of the house. When I ran 9. _____out to find that a big tree had fallen down and broke the 10. _____top of the back room.短文改错（2）I have been planning to join in our college basketball team 1. ______next year, so now I am spending as more time as I can 2. ______with other people who likes to play. They are teaching 3. ______me the most important rules and technologies of the game, 4. ______and I am getting the better all the time. We have a 5. ______neighborhood team that play against other teams in the area. 6. ______One of my neighbors is helping rest of us 7. ______improved our skills. Tonight we are playing against 8. ______one of the best teams in the city, and I think we can 9. ______beat them if we won't make any mistakes. 10. _____参考答案：(1) 1. sudden-suddenly 2. hotter-hot 3. is-was 4. √ 5. out-out of 6. drop-drops 7. house前加the 8. loudly-loud 9. 去掉when 10. broke-broken(2) 1. 去掉in 2. more →much 3. likes →like 4. technologies →techniques 5. 去掉the 6. play →plays 7. rest前加the 8. improved →improve 9. √ 10. won't →don't短文改错(3)Fang Tong is 34 years old, an actor, director and teacher ofBeijing Opera Theatre. Most of his students are from other part of 1. ______ China and have come to Beijing at a very young age of sixteen 2. ______or seventeen. He hopes create an environment for his students 3. ______that it is much more relaxing than the one he used to 4. ______study in. He thought that an actor should relax himself when 5. ______ performing. Yet his students deep respect him and he 6. ______never needs to raise his voice in order to be hearing. 7. ______For his opinion, actors should go on even when they 8. ______feel they have made a mistake in their performances 9. ______because the moment is already gone but people can never 10. ______be back to it.So art is always changing and developing.短文改错(4)Today is Sunday, I have been studying all day long. On the 1. _____morning, I had a dry breakfast. We have no water to drink because 2. _____the water supply had cut off. The water had come back in 3._____the evening. I did math then. I didn't stop after 12 o'clock. After a 4. _____short lunch I had the break. Then I went to my Sunday English Class. 5.______ After a long and tired class for more than two hours, I got 6. _____to home. Some work had been done but some hadn't. I must 7. _____review all my subject such as the Sciences, the Humanities, 8. _____which include Chinese, English, Politics and History as 9. _____well. That's terribly! Especially when there was no water. 10. _____参考答案：(3) 1. part- parts 2. a-the 3. hope∧to 4. 去掉it 5. thought-thinks 6. deep-deeply 7. hearing-heard 8. For-In 9. √ 10. but-and(4) 1. On→In 2. have→had 3. 在cut前加上been 4. after→until 5. the→a 6. tired→tiring 7. 去掉to 8. subject→subjects 9. 正确10. terribly→terrible短文改错(5)I was recent told that listening to loud music is gradually 1. ______making people hard of hearing. I'm sure it has already been 2. ______ happened to my neighbor. For years she has turned a deaf 3. ______ear to my requests to turn her radio down. When she gave a 4. ______party she isn't have to invite the rest of the street. Everyone 5. ______can dance in her music in his own room. Now a scientist has 6. ______ discovered a certain electronic sounds have strange effects on 7. ______rats. He declares they break down, almost paralyze(瘫) with 8. ______egs trembled. Then it is simply a matter of throwing them 9. ______out by their tail. I wonder if the same thing will happen to 10. _____my neighbor someday.短文改错(6)Dear Ralph,I'm a senior student. I have be in love with a boy for three 1. ______years. But he is a shy boy, so I wrote him a letter firstly 2. ______to express my feeling. And he wrote back. In his letter 3. ______he said, "We are students. Our task is study. Let us wait 4. ______to see until we have any chance after graduation." So 5. ______after graduation I telephoned to him, asking him about 6. ______go out . But he said he didn't want to. He just 7. ______wanted to sleep and watched TV. 8. ______What do you think I should do? Do you think 9. ______I should continue to love him and give up Sheila? 10. ______参考答案：(5) 1.recently 2. 去掉been 3. 正确4. gave---gives 5. isn't---doesn't 6. in---to 7. 去掉a 8. with后加their 9. trembled---trembling 10. tail---tails(6) 1. be--been 2. firstly--first 3. feeling—feelings 4. study前加to 5. until-- if / whether 6. 去掉to 7. go--going 8. watched--watch 9. 对10. and—or短文改错(7)Before leaving the class, the teacher, Miss White,said to her class, "Don't leave yourseats. Read your books on yourselves. You 1. _____would study hard and be good students. " As soon 2._____as the teacher went away, the classroom becoming 3._____noisy. One boy drew a picture of the teacher 4._____on the blackboard. Another boy began to make face 5._____just to make the other students to laugh. The boy 6._____put his finger close to his mouth and tell the 7._____class that Miss White is coming back. All the 8._____students sat down their seats and the classroom 9._____became quiet again. The door open and in came Miss White. 10.____Once there lived a boy was very fond of 1.______reading. But he was so poor to buy any 2.______books. So he had to borrow them from a rich man 3.______lived far away. The boy always tried 4.______hard to finish read the books and returned 5.______them to the owner within the giving time. So 6.______the rich man was ready lending him any of the 7.______books he wanted them. In this way he read a lot 8.______and late became a well-known writer of his time. 9.______However, the rich man's son who didn't like to studyremained a man with a little knowledge. 10._____参考答案：(7) 1. on-by 2. would-should 3. becoming-became 4. √ 5. face-faces 6. 去掉第二个to 7. tell-told 8. is-was 9.down-down on 10. open-opened(8) 1. boy后加who 2. so-too 3. √ 4. lived-who lived 5. read-reading 6. giving-given 7. lending-to lend 8.去掉them 9. late-later 10. 去掉第二个a短文改错(9)Our four-years-old son came into the house 1.______proudly to showed me a caterpillar(毛毛虫)that was 2.______crawling up his arm. Trying hard to hiding my 3.______nauseating feeling(掩饰我的恶心), I said, "Mark, 4.______why don't you take them back outside Its mother 5.______will be looking for it, but it will miss its mother. " 6.______I was feeling rather pleasing at the way I had 7.______handled the situation. And a few minutes 8.______later Mark returned back to the house with two caterpillars 9.______and said excitedly , "Look, I founded the mother!" 10._____Like most of my schoolmates, I have neither brothers nor 1._____sisters---in any other words, I am an only child. My parents 2._____love me dearly of course and will do all they can make sure 3._____that I get a good education. They did not want me to do 4._____any work at family; they want me to devote all my time to 5._____my studies so that I'll get good marks in all my subject. We 6._____may be one family and live under a same roof, but we do 7._____not seem to get much time to talk about together. It looks 8._____as if my parents treat me as a visitor and a guest. Do they 9._____really understand their own daughter What things are inother homes, I wonder. 10._____参考答案：(9) 1.years-year 2. showed-show 3. hiding-hide 4. √ 5.them-it 6. but-and 7. pleasing-pleased 8.And-But 9.去掉"back" 10. founded-found(10) 1. √ 2. any 3. can后加to 4. did-do 5. family-home 6. subject-subjects 7. a –the 8. 去掉about 9. and-or 10. homes-families短文改错(11)March 22nd, Tuesday, cloudyI watch TV until nearly 12 o' clock, so I could not 1.______go over my lessons. This morning I got up very late 2.______that I had to hurry school without breakfast yet I 3.______was late of the first class. When I entered the 4.______classroom, the maths teacher had to stop explaining 5.______an important problem, and all the eyes fixed upon 6.______me. My face turned to red. Something even worse 7.______happened to me in the English class. The teacher askedme to recite the text, but I could speak nothing but 8.______sorry, as I did not spend any time preparing my lessons. 9.______The teacher looked at me with his coldly eyes, I stood 10.______at my bench without daring to raise my head. Whata terrible day I had! I will never do anything like this.短文改错(12)A king liked to write stories. One day,the king showed some his stories 1.______with a famous writer. The writer said that 2.______these stories were bad. The king get angry 3.______with him and sent him to the prison. After 4.______some time the king felt pity for the writer 5.______and set him freely. When the writer was 6.______out prison, again the king showed him 7.______some stories and asked how he thought them. 8.______The writer turned into the soldiers and said, 9.______"Take me back prison. " 10.______参考答案：(11) 1. watch--watched 2.very---so 3.hurry后加to 4.of--for 5. √ 6.eyes后加were 7.to 去掉8.speak—say 9.as--for 10.coldly--cold.(12) 1.some→some of 2. with →to 3. get →got 4. the 5. √ 6. freely →free 7. out →out of 8. thought→thought of 9. into→to 10. back→back to短文改错(13)At beginning of term I introduced 1.______my teacher for my parents. Our teacher 2.______Mr. Wang asked my parents of my 3.______summer holiday. To my parents' opinion 4.______I have a good time with my classmates. 5.______I told my teacher that I had finished 6.______homeworks at home. Then I helped 7.______my father in the farm. We went on 8.______work by the lights of the tractors. 9.______Father had only two and three young men 10.______working for him at harvest time.短文改错(14)Time flies as an arrow. I'm already in the second half 1.______of senior grade 3 before I realized it. It is only a little more 2.______than three months before I graduate middle school. At 3.______the present, I'm busy reviewing my lessons in order to 4.______take the college entrance examination. I hope to go to 5.______Beijing University, that is one of the best universities not 6.______only in China but also in the world. I'll try my best to turn 7.______my dream to reality. Most of my classmates are also 8.______studying very hard to realize our wishes. I do believe everyone 9.______will be able to enter a very good university and college. 10.______参考答案：(13) 1. At→At the 2. for→to 3. of→about 4. To→In 5. have→had 6. √ 7. homeworks→homework 8. in→on 9. work→working 10.and→or(14) 1.As—like 2.realized-realize 3.graduate∧from 4.去掉the 5. examination---examinations 6.that—which 7. √ 8. to—into 9. our—their 10. and—or短文改错(15)One afternoon on April, 1912, a new ship set off from 1.______England to America on it first trip. It was one of the 2.______largest and first ship at that time. It was cold, 3.______but the ship was pleasant and people are 4.______enjoying themselves. The next day was even cold. People 5.______could see icebergs here or there. It was night, suddenly, 6.______the man on watch shouting "Look out! Iceberg!" 7.______It was too late, a ship hit the iceberg and came to a 8.______stop, there that was a very big hole in the ship and water 9.______began to come. Slowly the ship started to go down. 10._____短文改错(16)I've a friend who has a big police dog is named Jack. 1.______Every Sunday afternoon my friend takes Jack a long walk in 2.______the park. Jack likes these walks in the park very well. 3.______One Sunday a young man dropped in my friend. He stayed 4.______a long time. He talked and talked. Soon it was the time for my 5._____friend to take Jack for his walk, but the visitor still sat talking. 6.______Jack became worried his walk in the park. He walked 7.______around the room several times but then he sat right in 8.______front of the visitor and looked him. But the visitor paid 9.______none attention. He continued talking. Finally Jack could 10._____stand it no longer. He hold the visitor's hat in his mouth.参考答案：(15) 1. on→in 2. it→its 3. ship→ships 4. are→were 5.cold→colder 6. or→and 7. shouting→shouted 8. a→the 9.去掉that 10. come→come in(16) 1. 去掉is 2.Jack→Jack for 3. well→much 4. in→in on 5. He→They 6. right 7. worried→worried about 8.but→and 9. looked→looked at 10.none→no短文改错(17)June 12, Sunday FineToday is Sunday, I didn't get up early as usually. In the 1.______morning after I finished my homework, I do some washing. 2.______Then I telephoned one of my classmate and invited him 3.______to see a film. And unfortunately, when we got to the cinema 4.______at 3:00 p.m. we found all the tickets had sold out. 5.______Then we went back to school and played the football. 6. ______After this, when we were about to go home ,we saw our 7. ______English teacher, Mr. Wang, coming into the school gate.He told us we have made great progress in English. this term 8.______He also suggested that we should read more and wrote more. 9.______We promised him that we would listen his advice. 10._____短文改错(18)In autumn of 1935, when I was a young man, I was 1._____traveling in the north of Indian. One evening, 2._____after hunting in the forest all day, I was returning 3._____to the place which I had put up my tent. It was getting 4._____dark, but I was walking along a road. Suddenly I saw 5._____two eye glaring at me from among the trees. 6._____What can I do? Should I jump into the river 7._____to save my life? Then I looked at the right. 8._____In the river there had a big crocodile waiting to 9._____welcome me with its mouth was wide open. 10.____参考答案：(17) 1. usually---usual 2. do→did 3. classmate ---classmates 4. And ---But 5.had ∧been 6. the 去掉7. correct 8. have---had 9. wrote---write 10. listen---take/follow(18) 1. In-In the 2. Indian-India 3. right 4. in ∧which 或which改为where 5.but-and 6.eye –eyes 7. can –could 8. at –to 9. had-was 10.去掉was短文改错(19)Cats are animals of habit. They like to go to sleep 1._____about same time every day and for a certain length of time. They 2._____seem to have natural clock inside them that tells them 3._____when sleeping. Besides their regular sleep, cats take naps(打盹). 4._____Some scientists think that people should also take cat nap. The 5._____habit would do good for people's health. 6._____Cat naps helped build up energy in the body. 7._____Since cats have moods(情绪) like these of people, 8._____scientists believe that people can improve their moods with 9._____cat-napping. People might become more happier and more active. 10.____短文改错(20)A man shot two students died and wounded 1.______five other at an Australian university on Monday, 2. ______after he was overpowered by classmates of the victims 3. ______(受害者). The two dead were both male of 4. ______Asian appearance in his early 20s. The others 5. ______have being treated for minor(未成年的)injuries. 6. ______The man, in his mid-30s and of Asian appearance, 7. ______was seized several students in 8. ______classroom at Monash University, Melbourne 9. ______and was late arrested. 10. ______参考答案：(19) 1. right 2. same-the same 3.have-have a 4. sleeping-to sleep 5. nap-naps 6. for –to 7. helped-help 8. these-those 9. with-by 10. 去掉more(20) 1. died-dead 2. other--others 3. after--before 4. male--males 5. his--their 6.have—are 7. √ 8. seized后加by 9. ∧a 10. later短文改错(21)When I first learned to write in English , I ran into 1.______much difficulties. The main problem was that I always thought 2.______in Chinese and tried to translate anything into English. 3.______My teacher advised me to keep my diary. I followed her 4.______advice and should put down 100 words or so each day. 5.______Soon I began to enjoy talk to myself as I was 6.______learning to express me in simple English. One day I wrote 7.______a story and showed to my teacher. He liked it very much 8.______and reads it to the class. All said that the story was 9.______a good one. Their word were a great encouragement to me . 10.______短文改错(22)Dear Xiaohua,It is four days since Mother accepted the operation. 1. ______She is feeling much more better. The doctors told me 2. ______the operation was successful, but because her old age 3. ______she had to stay in hospital for other two weeks. The 4. ______doctors also say it was quite necessary for her to 5. ______do so. We expect to get a full report in two and three 6. ______days. Please tell the good news to the rest of family 7. ______as soon as possible. You needn't to come here. I'm 8. ______able to look after Mother by myself. You'd better 9. ______send flowers to Mother. She will feel happily. 10. ______Yours, Xiaohui参考答案：(21) 1.√ 2.many—much 3.anything--everything 4.my—a 5.去掉should 6.talk--talking 7.me--myself 8.to前加it 9.reads--read 10.word—words(22) 1. accepted ---received 2. 去掉more 3. of 4.other---another 5. said 6. or 7. family前加the 8. 去掉to 9. √ 10. happy短文改错(23)Tom had retired and lived lonely a long 1.______way from town. He hardly never left his home. But 2._______one day he went to town buy some things in the 3._______market, and after he had bought it , he went 4._______into a restaurant and sit down at a table by himself. 5._______When he looked around, he saw several old peoples 6._______put on glasses before reading their newspapers. So 7._______after the lunch he decided to go to a store to buy 8_______himself a pair of glasses, either, He walked 9._______along a wide street and fast found a store. 10.______短文改错(24)My parents were all standing there, shouting at each other. 1.______The word "divorce(离婚)" was repeated and broke my heart each time.I had trapped between them and didn't know what to do. 2.______A million thoughts rushed into my mind, but nothing of them could 3.______ ease my feelings. I rushed back to my room, seated down in 4.______silence and stared out of the window. The leaves were floating in air. 5.______ They struggled trying to catch the wind and finally they had to fall 6.______on the ground.I knew I was not the only one had gone through this. But 7.______ I must learn to fight against this. Later in the day I took up with a pen 8.______ and wrote down "It is until I take a step back and look at my family 9.______ that I can really appreciate this thing has helped me grow strong and 10._____ mature(成熟)."参考答案：(23) 1. Lonely→alone 2. never→ever 3.buy前加to 4. it→them 5. sit→sat 6.peoples →people 7. √ 8.去掉the 9. either→too 10. fast→quickly(24) 1.all→both 2.had→was 3.nothing→none 4.seated→sat或后加myself 5.air前加the 6.and→but 7.had前加who 8.去掉with 9.until前加not 10.√2010年四川卷高考英语短文改错题及解析An English lady was finally decided that she really should 66_______learn to drive, And after many attempts, she past her 67_______driving test and told her husband that，to release，he 68_______was going to drive him over to France for a holiday，But 69_______then a week after the trip, she suddenly announced that 70_______they wouldn’t take the holiday. “How did you change your 71_______mind?” he asked her by surprise. “Well，it is all because 72_______of the business of driving on right.” She said, “I have 73______been practicing for three weeks now，but I still couldn’t 74______get used to it-in fact, I’ve nearly killed three peoples。
2012届高考英语专题强化复习短文改错及书面表达
2012届高考英语专题强化复习短文改错及书面表达写作试题：满分35分，主要考查考生书面表达能力，例如写正确句子的能力、使用精彩词汇、短语的能力、所写文章逻辑性强的能力等。
并且在有限的时间内容，快速写出好句、好文。
本课程要帮助学生掌握快速写句、写文、改错的方法。
强化训练一结构课程内容：短文改错/ 开放性作文课程目标：把握改错方法，提高改错速度课时：3教学建议：1、训练前教师可以安排学生思考高分作文的要素写作考商在写作前你是否先列提纲？是否先写初稿，然后再修改、定稿？写作过程中，会注意语法使用，尤其时态的使用是否正确？会尽量避开生僻的词汇和没有把握的表达方法吗？会用简单的语句间的连接成分，使文章结构紧凑吗？是否能在高考前背诵30-40篇优秀范文吗？2、限时训练后，教师启发学生自查问题，欣赏范文，明确问题3、教师可以在表达方面进行重点说明，例如一词多义，短语优先，句式多样、连词使用。
4、短文改错核对答案后，教师要及时带读，巩固成果，提高语感，如果时间容许教师可当堂安排短文背诵默写，强化正确意识，学生才会对错误敏感。
5、写作限时训练后，教师要安排自查自改环节，然后再范文分析，通过范文分析反思自己写的文段。
教师也可以根据学生的问题进行即兴强化训练，例如造句、翻译练习，巩固短语、连词等使用能力。
6、教师可以根据学生情况，灵活处理所提供的素材，例如短文改错的文段改为听写、短文翻译（中译英）等。
仿真训练1（做题时间：10分钟）短文改错One day, while my friend and I was traveling through 1. _________Germany, we were not very hungry but we only had a little 2. _________money. We decided stop at a village market to buy 3. _________something to eat. We choose the cheapest biscuits and 4. ________ate it under a tree. We thought the biscuits were great. 5. ______“Let’s got some more,” I said, “They’re cheap and they 6. _____really taste well.” My friend could read some German, but 7. _________I couldn’t, and I gave her the biscuit bag to find the name. 8. _________She looked at it and started to laugh, “How are you laughing?”9. _________I asked. “Because they’re dog biscuits!” She said. 10. _________解题技巧点评短文改错通常考查以下几点：1．一致性：时态、人称、数2．动词用法：包括非谓语（动名词、分词、不定式）、系动词（后接形容词）、及物动词（无需介词，直接跟宾语）或不及物动词（需加介词，再跟宾语）等。
山西省2012高考英语二轮复习专题训练 短文改错+写作(56).pdf
4.2 太阳光与影子 练习 要点解读 物体在光线的照射下，会在地面或墙壁上留下它的影子，这就是投影（projiction）现象。
平行光线说形成的投影称为平行投影（parallel projection）。
物体的视图实际上是该物体在平行光线下且光线与投影面垂直时形成的投影。
太阳光线可以看成平行光线小明在操场上练习双杠时，在练习的过程中他发现在地上双杠的两横杠的影子（）A）相交 B）平行 C）垂直 D）无法确定 在一个晴朗的天气里，小颖在向正北方向走路时，发现自己的身影向左偏，你知道小颖当时所处的时间是 （A）上午 B）中午 C）下午 D）无法确定 小亮在上午8时、9时30分、10时、12时四次到室外的阳光下观察向日葵随太阳转动的情况，他发现这四个时刻向日葵影子的长度各不相同，那么影子最长的时刻为（ ）A）上午12时 B）上午10时 C）上午9时30分 D）上午8时 对同一建筑物，相同时刻在太阳光下的影子冬天比夏天（ ）A）短 B）长 C）看具体时间 D）无法比较 如图是一根电线杆在一天中不同时刻的影长图，试按其一天中发生的先后顺序排列，正确的是（ ） （A）①②③④ （B）④①③② （C）④②③① （D）④③②① （6）太阳光照射一扇矩形的窗户，投在平行于窗户的墙上的影子的形状是（ ）。
（A）与窗户全等的矩形 （B）平行四边形 （C）不窗户略小的矩形 （D）比窗户略大的矩形 （7）在太阳光下，转动一个正方体，观察正方体在地上投下的影子，那么这个影子最多可能是几边形（ ）。
（A）四边形 （B）五边形 （C）六边形 （D）七边形 3.已知两棵小树在同一时刻的影子，你如何确定影子是在什么光线下形成的。
4.有两根木棒AB、CD在同一平面上直立着，其中AB这根木棒在太阳光下的影子BE如图所示，请你在图中画出这时木棒CD的影子. 6.在同一时刻，身高1.6m的小强的影长是1.2m，旗杆的影长是15m，求旗杆高。
山西省2012高考英语二轮复习专题训练：短文改错+写作(78)
山西省2012高考英语二轮复习专题训练：短文改错+写作（78）短文改错此题要求改正所给短文中的错误。
对标有题号的每一行作出判断：如无错误，在该行右边横线上画一个勾（√)；如有错误（每行只有一个错误)，则按下列情况改正：此行多一个词：把多余的词用斜线（＼)划掉，在该行右边横线上写出该词，并也用斜线划掉。
此行缺一个词：在缺词处加一个漏字符号（∧)，在该行右边横线上写出该加的词。
此行错一个词：在错的词下划一横线，在该行右边横线上写出改正后的词。
注意：原行没有错的不要改。
Dear Lin Tao，I'm sorry to hear that you are having trouble in deal with 1.the new high school life. I'd like to give you any advice. 2.Firstly，you must work hard at all lesson and try your best 3.to get good grades. By this way，you are likely to attend an 4.ideal university for a better future. Secondly，you need get 5.along well with your classmates and teachers，that will 6.help you to build good interpersonal relationships. Thirdly，7.you have to learn what to live on your own. The ability 8.to survive in society is also of the great importance for us. 9.I hope you will find these ideas usefully. All the best! 10.Yours，Li Hua书面表达假如你是高三的学生，最近你就高三模拟考试该难还是该容易这个问题进行了一次调查。
山西省2012高考英语二轮复习专题训练 短文改错+写作(32).pdf
7、（分）如图：已知梯形ABCD中，ABCD，AD＝BC，点E是底边AB的中点， 求证：DE＝CE 综合应用创新参考答案 学科内综合题1.一个，两个，提示：为以BC为对角线，和都是以BC为一边。2.C 提示：由可得FD＝BE，OE＝OF，即 四边形ABEF的周长即为AB+AD+EF＝15，故选C。3.C 提示：由②可证得两组对角分别相等，由③可证得对角线互相平分 ，故选C。4.C 提示：顺次连接四边形各边中点得一个菱形，则原四边形必须具备对角线相等的性质，各选项中只有菱 形不具备这一性质，故选C。5.梯形ABCD是等腰梯形，，即。在与中，。 综合应用创新1.方法一：取各边中点顺次连接；方法二：将一边四等分，把分点与这边相对的顶点连接。2.B D C提示：求出OB＝3，OD=，CD＝AB＝5。即可写出各点的坐标。3.⑴这个小三角形的周长为；⑵由于第一个三角形的周长 为，第二个小三角形的周长为。依此类推可得第个小三角形的周长为。4.EF＝（AD+BC）⑴在与中⑵由①结论可得EF是 的中位线⑶EF为的中位线，。又。即得证。 中考模拟题 1.⑴连接BF；⑵DE=BF；⑶四边形ABCD是平行四边形，,,在和中,。。 说明：本题答案不唯一，连接DF，添DF=BE也可以。 2.20. 提示：.。,又 3.BE＝DF，BF＝DE，等均可。 4.B。提示：由∽可得DP=DB，同理BQ=DB，即DP=PQ=QB，由 ≌可得AP=CQ，同样由∽可得2MQ=CQ。 但由于，而，故④不正确。 5．B．提示：将两块三角板的斜边拼在一起可得正方形，将一条直角边拼在一起可得等腰直角三角形和平行四边形 ，故应选B。 6．结论可以是：四边形ABCD是平行四边形。 ∵四边形AEFD是平行四边形，∴AD//EF，AD=EF。 ∵四边形EBCF是平行四边形，∴BC//EF,BC=EF。 ∴AD//BC，AD=BC，∴四边形ABCD是平行四边形。 说明：本题结论也不惟一，也可以是AB//CD，AB=CD等等。 7．∵梯形ABCD中AD=BC，∴。 在与中 ∴≌∴DE=OE。 初中学习网，资料共分享！我们负责传递知识！
高考英语短文改错基础训练题(12)
高考英语短文改错基础训练题（12）【2014高考英语模拟试题】短文改错(共10小题；每小题1分，满分10分)假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。
文中共有10处语言错误，每句中最多有两处。
每处错误仅涉及一个单词的增加、删除或修改。
增加：在缺词处加一个漏字符号(∧)，并在其下面写出该加的词。
删除：把多余的词用斜线(\)划掉。
修改：在错的词下划一横线，并在该词下面写出修改后的词。
注意：1. 每处错误及其修改均仅限一词；2. 只允许修改10处，多者(从第11处起)不计分。
It was our English teacher's birthday yesterday. Though English is a hard subject, but I like my English teacher a lot ，and so are my classmates. She is nice to us and always tells us stories of the days when she was in her twenty. Sometimes she even stayed in school to help students make up their lessons. She always encourages us and tells us do our best. We are gratefully to her, so that day we bought him a cake and a gift. We even made a big card for her, on it we wrote all our names. Seeing these, she was moving and had a big smile in her face.【参考答案】It was our English teacher's birthday yesterday. Though English is a hard subject,but\I like my English teacher a lot ，and so are domy classmates. She is nice to us and always tells us stories of the days when she was in her twenty twenties. Sometimes she even stayed staysin school to help students make up their lessons. She always encourages us and tells us ∧to do our best. We are gratefully grateful to her, so that day we bought him hera cake and a gift. We even made a big card for her, on it whichwe wrote all our names. Seeing these, she was moving moved and had a big smile in onher face. 2012高考英语模拟短文改错【2012届·宁夏银川一中高三第四次月考】短文改错（共10小题；每小题1分，满分10分）假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。
山西省2012高考英语二轮复习专题训练 短文改错+写作(12).pdf
课 题6.1 频率与概率（二）课型新授课教学目标1．经历实验、统计等活动过程，在活动中进一步发展学生合作交流的意识和能力。
2．通过第一课时问题的变式推广，掌握并运用列表法计算简单事件发生的概率。
3．关注在实际问题情境中的意义，培养应用概率解决问题的能力，感受其实际价值。
教学重点掌握列表法计算简单事件发生的概率。
教学难点理解概率的内涵。
教学方法合作交流法教学后记 教 学 内 容 及 过 程备注 一、实践操作、获取新知 问题提出： 如果每组3张牌，它们的牌面数字分别是1，2，3，那么从每组牌中各摸出一张牌，两张牌的牌面数字和为几的概率最大？两张牌的牌面数字和等于4的概率是多少？ 探索解决问题的方法：对于这个问题，可以要求学生先自己尝试求解，然后再对小明、小颖、小亮的做法进行讨论和评判。
学生小组合作，尝试求解这个问题。
议一议 1.你认为谁做得对？说说你的理由。
2.用列表的方法求概率时要注意些什么？ 3.从表格中你还能获得哪些事件（如两张牌的牌面数字和为奇数）发生的概率？ 学生小组合作，相互交流。
二、继续探究、实验牵引 做一做 用列表的方法求概率： 1.将一枚均匀的硬币掷两次，两次都是正面朝上的概率是多少？ 2.游戏者同时转动图6-1中的两个转盘进行“配紫色”游戏，求游戏者获胜的概率。
学生书面练习，同桌交流、巩固。
三、随堂练习 课本随堂练习 1、2 学生小组合作交流，进一步掌握列表法求概率的具体步骤。
四、课堂总结 1.本节重点掌握运用列表法求概率，通过学习，理解概率与统计之间的内在联系。
2.培养大家积极主动地投入到活动中去，与同伴交流。
具有良好的合作意识。
3.鼓励思维的多样性。
五、布置作业 课本习题6.2 1、2 初中学习网，资料共分享！我们负责传递知识！。
山西省2012高考英语二轮复习专题训练 短文改错+写作(36).pdf
3.2特殊平行四边形 综合应用创新 学科内综合题（共14分） 1.（1分）矩形的对角线相交构成的钝角为120°，短边等于5cm，则对角线的长为 . 2. (1分)菱形的面积为24cm2，边长为5cm，则该菱形的对角线长分别为 . 3.(2分)已知中对角线AC的垂直平分线交AD于点F，交BC于点E. 求证：四边形AECF是菱形. 证明：∵EF是AC的垂直平分线（已知） ∴四边形AECF是菱形（对角线互相垂直平分的四边形是菱形）. 老师说小明的解答不正确 ⑴你能找出小明错误的原因吗？请你指出来. ⑵请你给出本题的证明过程. 4.(3分)如图，四边形ABCD是一个正方形. ⑴请你在平面内找到一个点O，并连接OA、OB、OC、OD使得到△OAB、△BOC、△COD、△OAD都是等腰三角形. ⑵这样的点，你能找到多少个？ ⑶试写出你找到的等腰三角形的顶角的度数. 5.（5分）已知，对角线AC、BD相交于点O. ⑴若AB=BC，则是 . ⑵若AC=BD，则是 . ⑶若∠BCD=90°，则是 . ⑷若OA=OB，且OA⊥OB，则是 . ⑸若AB=BC，且AC=BD，则是 . 6.（2分）如图，已知AE是正方形ABCD中∠BAC的平分线，AE交BD、BC于点E、F，AC、BD相交于点O. 求证：OF＝CE. 综合创新应用题（共14分） 1.（2分）⑴四年一度的国际数学家大会于2002年8月20日在北京召开，大会会标如图1所示.它是由四个相同的直角三角形与中间的小正方形拼成的一个大正方形，若大正方形的面积为13.每个直角三角形两直角边的和为5，求中间小正方形的面积. ⑵现在一张长为6.5，宽为2的纸片，如图2，请你将它分割成6块，再拼合成一个正方形.（要求：先在图2中画出分割线，再画出拼成的正方形草图并标明相应数据） 2.（3分）请你画出把下列矩形的面积两等分的直线，并且根据你所画的直线回答下列问题. ⑴在一个矩形中，把此矩形面积两等分的直线最多有多少条？它们必须都经过哪个点？ ⑵你认为还有具有这个性质的四边形吗？如果有，请你找出来. ⑶你认为具有此性质的四边形应该具有什么特征的四边形呢？ 3.（3分）木匠师傅要检查一下一扇窗是否是矩形的，可是他身上只带一把卷尺，你能说明一下木匠师傅可以用什么样的方法进行检验吗？请你说明这样操作的依据是什么？ 4.请阅读如下材料.（共3分） 如图，已知正方形ABCD的对角线AC、BD于点O，E是AC上一点，AG⊥BE，垂足为G.求证：OE=OF. 证明：∵四边形ABCD是正方形. ∴∠BOE=∠AOF=90°,且OA=OE. 又∵AG⊥BE，∴∠1+∠3＝90°＝∠2+∠3，即∠1＝∠2. ∴Rt△BOE≌Rt△AOF,∴OE=OF. ⑴（2分）根据你的理解，上述证明思路的核心是利用 使问题得以解决，而证明过程中的关键是证出 . ⑵（1分）若上述命题改为：点E在AC的延长线上，AG⊥BE交EB的延长线于点G，延长AG交DB的延长线于点F，如图，其他条件不变. 求证：OA=OE. 5.（3分）某乡镇四个村庄A、B、C、D正好位于一个正方形的四个顶点，现计划由四个村庄联合架设一条线路，现设计了四种架设方案.如图中实线部分，请你帮助计算一下，哪种方案最省电线. 中考模拟题（共12分） 1.（6分）工人师傅做铝合金窗框分下面三个步骤进行. ⑴先截出两对符合规格的铝合金窗（如图①）使AB＝CD，EF＝GH； ⑵摆放成如图②的四边形，则这时窗框的形状是 形，根据的数学是： ； ⑶将直角尺靠窗框一个角（如图3）调整窗框的边框，当直角尺的两条直角边与窗框无缝隙时（如图4）说明窗框合格.这是窗框是 形.根据的数学道理是： . 2.（1分）如图，的对角线交于点O，且ADCD，过点O作OM⊥AC，交AD于点M，如果△CDM的周长为，那么平行四边形ABCD的周长是 . 3.(2分)如图，正方形ABCD中，点E、F分别是AB和AD上的点.已知CE⊥BF，垂足为点M. 求证：⑴∠EBM=∠ECB；⑵EB=AF. 4.（2分）如图，矩形纸片ABCD，长AD＝9cm，宽AB＝3 cm，将其折叠，使点D与点B重合，那么折叠后DE的长和折痕EF的长分别为 和 . 5.(2分)已知在矩形ABCD中，E为DC边上一点BF⊥AE于点F，且BF＝BC. 求证：AE＝AB. 6.（2分）已知菱形ABCD中，E、F分别是CB、CD上的点，且BE=DF. 求证：⑴△ABE≌△ADF；⑵∠AEF=∠AFE. 7.（6分）如图，把边长为2的正方形剪成四个全等的直角三角形.请用这四个直角三角形拼成符合下列要求的图形.（全部用上，互不重叠且不留空隙）并把你的拼法依照图1按实际大小画在方格纸内（方格纸为1×1）. ⑴不是正方形的菱形（一个）； ⑵不是正方形的矩形（一个）； ⑶梯形（一个）； ⑷不是矩形和菱形的平行四边形（一个）； ⑸不是梯形和平行四边形的凸四边形（一个）； ⑹与以上画出四边形不全等的凸四边形（画出的图形互不全等，能画几个画几个，至少三个）. 综合应用创新参考答案 学科内综合题1.10cm2.6cm和8cm 3.⑴小明错在AC和EF并不是互相平分的，EF垂直平分AC，但AC并不平分EF，需要通过证明得出. ⑵∵四边形ABCD是平行四边形，∴∠FAC＝∠ECA. 在△AOF与△COE中 ∴△AOF≌△COE，∴EO=FO ∴四边形AECF是菱形. 4.⑴如图所示，九个黑点就是所求的点 ⑵这样的点共有九个 ⑶这些等腰三角形的顶角可能是30°，60°，90°，150° 5.⑴菱形 ⑵矩形 ⑶矩形 ⑷正方形 ⑸正方形 6.提示：取AE的中点M连接OM，则OM＝CE,再证△OFM是等腰三角形，那得OF＝CE . 综合创新应用题 1.⑴设直角三角形的长边为，短边为，则解之得，∴小正方形的面积为. ⑵如图所示. 2.⑴有无数条，它们必须都经过对角线的交点. ⑵正方形、菱形、平行四边形也都是具有这种性质的四边形. ⑶具有此性质的四边形就是中心对称图形的四边形.（答成都是平行四边形也可以） 3.提示：可以先用卷尺测量一下这个四边形的两组对边是否相等，如果相等，那么这个四边形就是平行四边形，再用卷尺测量这个四边形的两条对角线是否相等，如果相等那么这个平行四边形就是矩形. 4.⑴三角形全等，∠1＝∠2 ⑵∵四边形ABCD是正方形，∴∠AOF＝∠BOE＝90°，且OA＝OB， 又∵∠F+∠FAO=90°,∠E+∠FAO=90°,即∠E=∠F ∴Rt△AOF≌Rt△BOE,∴OE=OF. 5.方案（4）最省电线， 提示：设正方形边长为，则方案①需用线3，方案②需用线3，方案③需用线，则方案④需用线. 故方案④最省线. 中考模拟题 1. ⑴平行四边形，两组对边分别相等的四边形是平行四边形. ⑵矩形，有一个角是直角的平行四边形是矩形. 2.2.提示：由CM垂直平分AC得AM＝MC，所以AD+DC＝.故平行四边形的周长为2. 3.⑴∵四边形ABCD是正方形，∴AB＝BC，∠ABF+∠CBM＝90° ∵CE⊥BF，∴∠ECB+∠CBM=90°， ∴∠EBM=∠ECB. ⑵在Rt△ABF与Rt△CBE中， ∴Rt△ABF≌Rt△CBE(ASA),∴EB=AF. 4.5cm和cm 提示：设DE为，则AE为，在Rt△ABE中，AB2+AE2＝BE2 ，即DE＝5cm. 过F作FM⊥AD于M，由勾股定理得EF＝cm. 5.∵四边形ABCD为矩形，∴AD＝BC，AB∥CD，∴∠BAE＝∠DEA，∵BF=BC，∴AD=BF. 在Rt△ADE与Rt△BFA中∴△ADE≌△BFA,∴AE=AB. 6.⑴四边形ABCD是菱形，∴AB=AD，∠B＝∠D, 在△ABE与△ADF中∴△ABE≌△ADF. ⑵∵△ABE≌△ADF，∴AE=AF,∴∠AEF=∠AFE. 7.⑴ ⑵ ⑶两个中任意画一个. ⑷四个中任意画一个 ⑸两个中任画一个 ⑹在上面所画的图中剩余的图形中任画三个以上. 初中学习网，资料共分享！我们负责传递知识！。
2012年高考英语短文改错_真题汇编(含解析)
2012年高考全国英语试题分类汇编：短文改错1.【2012全国新课标】I learned early in life that I had to be more patient and little aggressive. From thetime I was about four until I was about six, I destroyed each of my toy. Iwas happy when the toys worked, but when things did wrong, I got angry and broke it. Fora while parents bought me new toys. But before long they beganto see which was happening. When I tear apart my fifth birthday toy train, my father said, "That's it. No more toys to you." My punishment lasted a year. Meanwhile, I found out that with more patience I must make my toys to last.My attitude changed from then on.1.【答案】little---less【解析】根据文意：我不得不多一些耐心而少一些挑衅性。
此处less修饰形容词。
【考点定位】考查副词的用法。
2.【答案】toy—toys【解析】根据each of 可知，应该是我的玩具中的每一个，故用复数形式toys。
【考点定位】考查名词的单复数形式。
3.【答案】did—went或者did 后加go【解析】考查短语go wrong意为：出错。
【考点定位】考查固定短语的表达法。
山西省2012高考英语二轮复习专题训练：短文改错+写作(77)
山西省2012高考英语二轮复习专题训练：短文改错+写作（77）短文改错此题要求改正所给短文中的借误。
对标有题号的每一行作出判断：如无错误，在该行右边横线上画一个勾（√）；如有错误（每行只有一个错误），则按下列情况改正：此行多一个词：把多余的词用斜线（\）划掉，在该行右边横线上写出该词，并也用斜线划掉。
此行缺一个词：在缺词处划一个漏字符（^），在该行右边横线上写出该加的词。
此行错一个词：在错的词下划一横线，在该行右边横线上写出改正后的词。
注意：原行没有错的不要改。
书面表达高中生活即将结束，大学生活很快开始，请你根据提示写一篇词数为100左右的英语短文，表达你对高中生活的遗憾和对未来的打算。
内容包括以下要点，不要逐字翻译，可以适当增减。
第一句话已给出，不计入总词数。
1. 注重学习多，注重其它方面少, 如：社会活动，体育锻炼等；2. 暑假中要参加一些公益活动，如：帮助小学生学习，帮老人做事，做志愿者等；3. 大学生活的计划: 努力学习，生活自理，和老师同学相处好。
Before graduation, I feel an urge to talk about my regrets for the senior high school and the plan for my college goals.短文改错：1. special 前加a2. does改为did3. 正确4. 去掉to5. parents 改为parents’6. 去掉in; 或在in 后加it7. good 改为well8. puzzling 改为puzzled 9. say 改为tell 10. tell改为tellin g书面表达：Before graduation, I feel an urge to talk about my regrets for the senior high school and the plan for my college goals.Thi nking of the three years in my senior high, I find that I’ve focused too much on my lessons but paid so little attention to other aspects such as social activities, physical exercise, and my parents.In the summer vacation, I’m going to do some voluntary work. I will help school students with their studies. I will also help old people do what they can’t do by themselves.After I enter college, I will learn to live on my own, for I will be away from my parents. Above all, I will study hard and get along well with all my classmates and teachers at college. I am sure I can be good at my major and reach my goals.。
山西省2012高考英语二轮复习专题训练 短文改错+写作(33).pdf
⑵求菱形另一条对角线的长.
⑶求菱形的面积.
教材跟踪训练参考答案
填空题
1.都是直角，相等 2.40° 3.32cm
4.等腰，直角，等腰直角 5.90°，45°6.， 7. 8.平行四边形，互相垂直，相等，互相垂直且相等 选择题 1.C 2.C 3.C 4.D 5.C 6.B 7.D 解答题 1.∵CD平分∠ACB，DE⊥BC，DF⊥AC， ∴DE=DF，∠DFC＝90°，∠DEC＝90° 又∵∠ACB＝90°，∴四边形DECF是矩形，∴矩形DECF是正方形. 2.∵DE∥AC，DF∥AB，∴四边形AEDF是平行四边形 ，∠EDA=∠FAD，∵∠EAD=∠FAD，∴∠EAD=∠EDA,∴EA=ED，∴AEDF是菱形. 3.提示：运用三角形中位线定理及等腰梯形两对角线相等. 4.连接MD、ME.∵Rt△CBD中M为BC的中点，∴MD＝BC，∵Rt△CBE中M为BC的中点，∴ME＝BC，∴MD=ME，∵F是DE的 中点，∴FM⊥DE. 5.提示：延长CF、BA交于点M，先证△BCE≌△CDF，得BE=CF. 再证：△CDF≌△AMF得BA＝MA，由直角三角形中斜边中线等于斜边的一半，可得Rt△MBP中AP=BM，即AP=AB. 提示：取AB的中点M,连接FM，由∠FAM=∠GFC，AM=FC，∠AMF=∠FCG=135°，可证△FAM≌△GFC，即得AF=FG.. 7.⑴60°和120° ⑵另一条对角线长10cm ⑶菱形面积为50cm2 初中学习网，资料共分享！我们负责传递知识！
求证：四边形CEDF是正方形.
2.已知，AD是△ABC的角平分线，DE∥AC交AB于点E，DF∥AB交AC于点F.
求证：四边形AEDF是菱形.
3.求证：顺次连接一个等腰梯形的各边中点，所得到的四边形是菱形.
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山西省2012高考英语二轮复习专题训练：短文改错+写作（12）短文改错
假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。
文中共有10处语言错误，每句中最多有两处。
每处错误仅涉及一个单词的增加、删除或修改。
增加：在缺词处加一个漏字符号（^），并在其下面写出该加的词。
删除：把多余的词用斜线（\）划掉。
修改：在错的词下划一横线，并在该词下面写出修改后的词。
注意：
1．每处错误及其修改均仅限一词；
2．只允许修改10处，多者（从第11处起）不计分。
Different students hold different view on whether we should start a blog on the Internet．Some believe it can provide with a colorful stage for students to show their talents．Also, it's nice way to help them relieving pressure．However, other have an opposite opinion over it．They thought managing a blog will take much time and energy．Personally, I do approve of students having their own blogs．Nowadays, the Internet is playing an important part to our life．As high school students, it's necessary to learn and make the most of it．In fact, whether it's good or bad depend on how we employ it．If we can take fully advantage of it but avoid its negative effects, we can surely benefit a lot from it．
书面表达
据报道，某大学生演了排队占座“大战”。
为了在空调教室中争得一个学习的座位，数百人从晚上11点开始在教学楼前通宵排队，两名学生甚至带上了蚊帐搭成简易帐篷。
请你就此现象用英语写一篇短文，包括下列要点：1．简单介绍此现象；
2．你对此现象的看法：
（1）通宵排队不值得；
（2）影响白天的学习效率。
3．你的建议（学校和学生两个方面）……
注意：
1．词数100左右；
2．可适当增加细节，以使行文连贯。
参考词汇：有空调的air-conditioned 效率efficiency。