高考英语 必背疯狂英语成功之路13篇素材

高中生英语作文的成功之路The Path to SuccessSuccess is a journey that everyone aspires to embark upon.It is often perceived as a destination, a point in life where one has achieved their goals and realized their dreams.However, the journey to success is filled with challenges, obstacles, and lessons that shape individuals into who they are meant to be.The path to success is not a straight line; it is filled with twists and turns.It requires perseverance, determination, and a never-give-up attitude.High school is a crucial phase in one's life, where the foundation for success is laid.It is a time of self-discovery, where one explores their interests, passions, and strengths.To navigate through the journey of success, one must first set clear goals.Goals provide a sense of direction and purpose.They act as a guiding light during challenging times.High school provides a platform to dream big and set realistic goals.Whether it is academic excellence, pursuing a particular career, or excelling in extracurricular activities, setting goals helps individuals stay focused and motivated.However, setting goals is not enough.One must be willing to put in the hard work and effort required to achieve them.Success does not come easy; it requires dedication and commitment.High school is a period where students learn the value of hard work anddiscipline.Whether it is studying for exams, participating in sports, or engaging in community service, hard work and perseverance are essential ingredients in the recipe for success.Moreover, the path to success is not a solitary journey.It requires the support and encouragement of others.Teachers, parents, and friends play a vital role in shaping an individual's success.They provide guidance, mentorship, and a shoulder to lean on when the going gets tough.Collaboration and teamwork are essential skills that high school students learn, which are crucial in achieving success.Furthermore, success is not just about achievements and accomplishments.It is also about personal growth and development.High school is a time of self-discovery, where one learns about their strengths, weaknesses, and limitations.It is a journey of self-awareness and self-improvement.Embracing failures and learning from them is an essential part of the success journey.It teaches individuals resilience and the ability to adapt to changing circumstances.In conclusion, the path to success is a challenging and rewarding journey.It requires setting clear goals, putting in hard work and effort, seeking support from others, and embracing failures as opportunities for growth.High school provides a foundation for individuals to embark on this journey and lay the groundwork for a successful future.Success is not a destination but a continuous process, and it is up to each individual tochart their own path and make it a reality.。

疯狂英语成功故事一：李勇江西打工仔李勇……从工资三百到月入过万的传奇经历和李勇交谈，这位江西小伙子语速极快，令人难以插嘴，言谈中会经常蹦出睿智的话语。

那份哲理并非来自书本的卖弄，的确有点曾经沧海的体验。

有时夹杂出几句英语，纯正的美式口语。

“这是一个仅有中专学历的青年。

一年前，他连国际音标也认不全。

现在他是一家外贸公司的业务经理。

更因为创立了风靡中国经纺城以至在浙江在全国小有影响的商务英语训练基地，并兼任着“总教头”的职务。

”是什么突然改变了他的人生？是英语，是意志，是自信，是他常挂在口头上的两句英语－－I am the greatest（我是最棒的）， Never give up（决不放弃）。

1998年，20岁的李勇中专毕业，走出校门，就面临着就业的艰难。

1999年3月，李勇总算找到了一份工作，在南昌的一家小电器厂当上了一名装配工，每天给电源稳压器拧螺丝钉。

一个月下来，当他把平生的第一份工资－－330元钱捧到父母面前。

是的，或许因为从小生在乡下，或许因为个儿矮，他不但是个木讷的人，甚至连走路都溜墙跟走。

有着深深自卑的人往往是极自尊的。

但是李勇明白……“一个人要成功，必须要有好的工具，就像赛马一定要有好马一样！”一个偶然的机会他从网上看到……“上海正在开办疯狂英语强化集训营。

”这是条一般人看到都会摇头的广告，且不说几天时间学好英语近乎神话，数千元的学费也实在太贵了。

可他马上来了精神，打电话要求预留名额。

8月1日,揣上借来的2000元钱，向公司请假，赴上海去学英语。

到那儿一看，才知道同事们的劝说确实不差，他只有初中的英语水平，加上乡下的英语教学连读音都带有方言音，何况七八年时间荒废了，他的英语基础近乎零。

这是需要勇气的时刻，这是挑战自我的机遇。

他认定自己的敌人并非陌生的语言，而是自己，自己见人脸红的个性，自己老是不敢大声发音的嘴巴。

于是，他主动要求当班长，目的是给自己更大的压力，不怕出洋相，不怕被人瞧不起，只要能锻炼自己的胆子和勇气。

环保 使用清洁能源，处理和再利用污水
目标 花园城市：天再蓝些，水再清些
注意：
1. 字数在100词左右。
2. 生词提示：slogan 口号
【李阳疯狂英语经典范文】
The Beijing Olympic Games
Dear David,
[1] How nice to hear from you again. Now let me tell you something about the beautifying work being done in Beijing for the 2008 Olympic Games. Our slogan is "Green Olympics". 12.2 billion dollars will be spent on this project. A lot more trees, flowers and grass will be planted in many places to make Beijing more beautiful. We will use clean energy and try our best to make waste water clean and reuse it. In 2008, you will see Beijing as beautiful as a garden, with cleaner water and a clearer sky.
[2] In the past 20 years, great changes have taken place in this factory. The number of workers and engineers has risen to over 2, 000, and 80% of them are college graduates. Fifteen big workshops are well equipped with modern machines, and there are over ten different types of color TV sets, which are sold all over the country and to many parts of the world as well.

疯狂英语作文素材1. My First Trip Abroad.Last summer, I went on my first trip abroad to Japan. I was so excited to experience a new culture and try new foods. The first thing I noticed was how clean and organized everything was. The people were also very polite and respectful. I tried sushi for the first time and it was amazing! I also visited a traditional Japanese temple and learned about their customs and beliefs. It was an unforgettable experience and I can't wait to travel more in the future.2. The Benefits of Exercise.Exercise is not only important for physical health, but also for mental wellbeing. When I exercise regularly, Ifeel more energized and focused throughout the day. It also helps me manage stress and anxiety. I enjoy going for a run or doing yoga in the morning to start my day off right.Exercise also improves my confidence and self-esteem. It'sa great way to challenge myself and set goals for personal growth.3. The Importance of Education.Education is essential for personal and societal growth. It provides us with knowledge and skills to succeed in life.I believe that everyone should have access to quality education regardless of their background or socioeconomic status. Education also promotes critical thinking and creativity. It allows us to question and challenge theworld around us. It's important to continue learning throughout our lives to stay informed and adapt to changing circumstances.4. My Favorite Hobby.My favorite hobby is reading. I love getting lost in a good book and exploring different worlds and perspectives. Reading also improves my vocabulary and writing skills.It's a great way to learn about different cultures andhistorical events. I enjoy reading both fiction and non-fiction books. Some of my favorite authors include Jane Austen, J.K. Rowling, and Malcolm Gladwell. I always have a book with me wherever I go.5. The Power of Music.Music has the ability to evoke emotions and connect people from all walks of life. It's a universal language that transcends barriers and promotes unity. I love listening to music when I'm feeling happy, sad, or just need to relax. It's also a great way to express myself and connect with others. I enjoy playing the piano and guitar in my free time. Music has brought so much joy and meaning to my life.。

• [3] In a word, advertising is an important business.
成功之路第三篇
• American Students' Visit
• Boys and girls,
• [1] May I have your attention, please? About fifty American students will come to visit our school on October the 22nd. We'll meet them at the school gate at 8:30 a.m. At 9:00, we'll take them to the conference room, where a get-together will be held. After that, we'll show them around our botanical garden and the school-run factory. At 11:00, there will be a basketball match on the playground. They'll leave our school at 12:00.
• 秘诀四：天才的秘诀就是：通过反复的练习，把 一件事情做到炉火纯青的境界！
成功之路第一篇
• Summer Holiday Part-time Job
• [1] During the summer holiday of 2005, I thought I should do something meaningful instead of staying at home and watching TV. So I got a job at a KFC fast food restaurant and worked there as a cleaner. Every day I went to work early in the morning and got home late in the evening. I worked 7 hours a day for three weeks.

李阳疯狂英语励志哲理短文李阳疯狂英语的每一位学员的英语成功之路都坎坷曲折、感天动地。

疯狂英语离不开李阳，离不开李阳对于疯狂的论述，因为李阳所以疯狂。

下面是小编精心整理的李阳疯狂英语的哲理短文，希望能够帮到大家!李阳疯狂英语励志哲理短文篇【1】：相信自己。

对自己的能力充满信心!对自己的能力没有足够的信心，你就不可能成功或快乐!今天非常开心，因为基本上所有的营员都安全到家了。

很多的朋友在回家的飞机上、火车上、汽车上还在疯狂读英语，感染了很多人。

在这里我特别想告诉大家：一定要把在冬令营十天养成的习惯继续下去!千万不要又回到堕落的老路上!今天，我要和大家分享一个“让英语和意志一起成长的方法”：每天死活阅读一篇难文章。

我已经坚持做了近十年。

大多数一遇到难文章，第一个反应就是恐惧和抱怨!但我要告诉你，阅读难文章可以给你带来巨大的益处和成就。

第一、阅读难文章可以大大提升你的单词量。

千万不要放过一个难单词，全部查出来，抄下来!第二、阅读难文章可以提高你的理解力。

如果每天坚持训练，你的中考、高考、四六级、考研阅读能力会大大加强!第三、阅读难文章可以丰富你的句型。

你可以脱口而出让老外无比惊讶的超级句型。

比如说：I do not shrink from this historic responsibility, I welcome it.(我不会从这个历史责任中退缩，我欢迎它!)第四、阅读难文章可以培养你的意志力，从而造福你人生的各个方面。

第五、你一旦养成阅读难文章的习惯，你人生将彻底改变!这是一个非常奇妙的过程，阅读难文章“神秘地”提升了你应付困难和挑战的能力。

刚开始的时候比较难，但一旦变成习惯，不读反而觉得难受!这就是人生成功的秘密：做自己不愿意做的事，直到自己乐在其中!李阳疯狂英语励志哲理短文篇【2】Welcome to crazy English class.AS your slowly open you eyes look around notice where the light comes into you room.Listen carefully see if there are new sounds you can recognize.Fell with your body and sprit and see if you can sense the freshness in the air.Yes!Yes!Yes!It's a new day,it's a different day and it's a brigth day!And most importantly it is a new beginning for you life,a beginning where you are going to make new friends and take you life to totally unprecedented leve!In your minds eye you can see clearly the things you want to have the places,you intend to go the relationships you desire to develop and the positions you aspire to reach.You can hear you laughters of joy and happiness on the day ,when everything happens as you dream.You can see the smiles on the people around you,when the magic moment strikes.You can feel you face is getting red your heart is beating fast and your blood is rushing all over your bady to every single corner of your being!You know all this is real as long as you are confident passionate and committed!And you are confident you are passionate and you are committed!You will no long fear making new sounds showing new facial expressions,using your body in new ways,appreaching new people and asking new questions.You will live every sigle day of your life with ahsolute passion and you will show your passion throungh the words you speak and the actions you take .You will focus all your mend effort on the most important goals of ypur life.You will never waver in your pursuit of excellence.After all,you deserve the best!As your couch and friend I can assure you the door to all the door to all the best thing in the world will open to you,but the key to that door is in your hand.You must do you part;you must faithfully follow the planes,you make and take the actions you plan,you must never quit,you must never fear .I know you do it ,you can do it ,you will do it and you will succeed!Now stand firm and tall make a fist get excited and yell it out.I must do it!I can do it!I will do it!I will do it!I will succeed!I must do it!I can do it!I will do it!I will succeed!I must do it! Ican do it! I will do it!I will succeed!李阳疯狂英语励志哲理短文篇【3】Believe in yourself!Have faith in your abilities!Without reasonable confidence in your own powers,you cannot be successful or happy.相信自己。

我是中国人I’m Chinese[1]I’m / Chinese!I’m / an international / Chinese![2]I’m from / China!I’m from / a great nation![3]I love / my country!I love / my people![4]I enjoy / losing face!I enjoy / speaking English![5]I want / to communicate / with the world!I want / to change / my life![6]Let’s / practice English / crazily! Let’s / master English / to make China / stronger!Let’s / just do it!Right here! / Right now![1]我是中国人！我是一个国际化的中国人！[2]我来自中国！我来自一个伟大的国家！[3]我热爱我的祖国！我热爱我的人民！[4]我热爱丢脸！我热爱说英语！[5]我想和世界交流！我想改变我的人生！[6]让我们疯狂地操练英语！让我们掌握英语，让中国更强大！让我们马上行动！就在此地！就在此时！疯狂说英语Speak English Crazily[1]Speaking English / is really / not that difficult. / You can do it / if you try. / J ustopen your mouth / and start speaking / right now.[2]Enjoy / losing face, / and enjoy / making mistakes. / The more mistakes / youmake, / the more progress / you will make. / If you think / you can, / you can. / Believe in / yourself! / You will surely / succeed![1]说英语真的没有那么难。

清晨励志呐喊I can’t stand my poor English!I want to improve my situation!I want to change my life!I don’t want to let my parents down!I don’t want to let my country down!Most importantly, I don’t want to let myself down!I want to speak perfect English!I want to understand all kinds of accents!I want to write beautiful articles!I want to read thousands of books!I want to translate freely between Chinese and English!I want to be the master of the world’s two most important languages:Chinese and English.我不能忍受我的破烂英语！我要改变我的处境！我要改变我的生活！我不想让我的父母失望！我不想让我的祖国失望！更重要的是，我不想让我自己失望！我要说一口纯正的英语！我要听懂各种口音！我要写出漂亮的文章！我要读成千上万的书！我要在中英文之间自由转换！我要成为世界上两门最重要的语言：中文和英文的主宰和大师！羊皮卷我是自然界最伟大的奇迹自从上帝创造了天地万物以来，没有一个人和我一样。

我的头脑、心灵、眼睛、耳朵、双手、头脑、嘴唇都是与众不同的。

言谈举止和我完全一样的人以前没有，现在没有，以后也不会有。

虽然四海之内皆兄弟，然而人人各异。

我是独一无二的造化。

我是独一无二的造化。

物以稀为贵，我独行特立，因而身价百倍。

我是千万年进化的终端产物，头脑和身体都超过以往的帝王与智者。

[2] I want very much to be accepted by your company. I’ll work hard if I can be a member in your company.
Li Hua
六、Whether Students should Take Physical Exercise
[3] Finally, I finished the job before the new school term began.
[4] Now, I understand what labor means. I think it was really a successful experience.
[3] In a word, advertising is an important business.
三、American Student’s Visit
Boys and girls,
[1]May I have your attention, please? About fifty American students will come to visit our school on October the 22nd. We’ll meet them at the school gate at 8:30 am. At 9:00, we’ll take them to the conference room, where a get-together will be held. After that, we’ll show them around our botanical garden and the school-run factory. At 11:00, there will be a basketball match on the playground. They’ll leave our school at 12:00.

疯狂英语作文素材When it comes to "Crazy English" as a topic for an essay, there's a wealth of material to explore. From its origins to its impact on language learners and its cultural significance, there's plenty to delve into. Let's break down some potential points and delve into each:1. Origins and Founder:Crazy English was founded by Li Yang in China in the 1990s. Li Yang's passion for English language learning led him to develop this unconventional method, which emphasizes bold and enthusiastic speaking rather than strict adherence to grammar rules. This approach quickly gained popularityin China and has since spread to other countries.2. Impact on Language Learners:Crazy English has had a significant impact on language learners, particularly in China. Its emphasis onconfidence-building and fearless speaking has helped many overcome their fear of speaking English. By shouting out English phrases in public spaces, participants build confidence and improve their speaking skills through repeated exposure and practice.3. Controversy and Criticism:Despite its popularity, Crazy English has also faced criticism. Some argue that its focus on rote memorization and loud, public speaking may not necessarily lead to meaningful language acquisition. Others question its effectiveness in teaching grammar and syntax, arguing that a more balanced approach is necessary for well-rounded language proficiency.4. Cultural Significance:Crazy English reflects broader cultural attitudes towards language learning and self-improvement in China.Its emphasis on confidence and perseverance resonates with the Chinese value of hard work and determination.Furthermore, it serves as a symbol of China's increasing global influence and the importance placed on English proficiency in a rapidly globalizing world.5. Global Reach:While Crazy English originated in China, its influence has spread beyond its borders. Similar language learning methods emphasizing confidence-building and immersive experiences have emerged in other countries. This highlights the universal desire for effective language learning techniques and the creativity of educators in developing innovative approaches.6. Personal Reflection:As someone interested in language learning, exploring Crazy English prompts reflection on one's own approach to learning a new language. While the methods may seem unconventional, there's value in considering how confidence and enthusiasm can impact one's language proficiency. Perhaps there are elements of Crazy Englishthat can be incorporated into one's own language learning journey, even if the overall approach may not align entirely.In conclusion, Crazy English offers a fascinating lens through which to explore language learning, cultural dynamics, and the human capacity for innovation and adaptation. While it may not be without its flaws, its impact on language learners and cultural significance cannot be denied. As the world becomes increasingly interconnected, approaches like Crazy English remind us of the importance of embracing diversity and creativity in our pursuit of language proficiency.。

谁可以拯救我的英语？！
李蒙霏，1987年2月17出生。从小学开始学英语，到了初二以后，大家开始进入初三的备考，那会儿她的英语成绩就已经是全年级打底的了。李蒙霏的父母也是有病乱投医，找了很多辅导 班，但是无论找什么，她就是没有兴趣。由于班里面同学的嘲笑，她成了一个自闭的孩子。李蒙霏父亲与 别人谈及人家的孩子英语棒的时候，就无语地低下头；因为糟糕透了的英语成绩，李蒙霏的父母甚至曾流下了眼泪。那时我的生活因英语而一团糟！
是的，或许因为从小生在乡下，或许因为个儿矮，他不但是个木讷的人，甚至连走路都溜墙跟走。有着深深自卑的人往往是极自尊的。 但是李勇明白……
“一个人要成功，
必须要有好的工具，就像赛马一定要有好马一样！”
一个偶然的机会他从网上看到……
“ 上海正在开办疯狂英语强化集训营。”
“他学到了两个最重要的法宝：一是熟练掌握了一整套学习的秘诀；
二是学会了不管何时何地都不怕出丑不怕丢人地大声说英语的勇气。
学英语学到了厚脸皮，克服了自卑胆怯的毛病，这对于他无疑是最大的收获。”
为验证一下自己的实际运用能力，他决定去找老外测试一下。他选择了去浙江义乌，那里有全国最大的小商品城，老外特多。
该文章转载自无忧考网：/sh论(0) 编辑词条
李蒙霏李蒙霏 高考英语146分！北京2005年高考英语状元全额奖学金被北卡罗来纳大学播音专业录取！
李蒙霏不是天生的英语天才！他只是一位普通家庭的孩子！他母亲是一位下岗工人！他父亲是一名普通司机！英语曾经是他心中的痛！英语曾经是他的噩梦！他小学开始学英语，英语一直在痛苦不堪中挣扎！
“还是正宗的美式英语，以为他在美国留过学。
一打听，说是学了半年还不到，惊得直吐舌头。”
车上一路的交谈，就成全了一桩好事，其中一个……

001.Why Do We Attend University来源：网络文章作者：匿名2009-06-20 14:15:26标签：作文英语When we consider why we should attend universities,different people have different ideas.In some students' eyes,studying in universities means a bright future after graduation. They think they are bound to find good jobs with a good college education.However,life i n the colleges and the jobs that they can find are usually somewhat disappointing.Especially under the severe competition of today's society,it is not very easy for a c ollege graduate to find a satisfying job.As far as I am concerned,universities can provide good study opportunities and essential facilities for those who want to acquire knowledgefor the construction of our country,and this is the reason why we attend universities002.On Super Girls来源：网络文章作者：匿名2009-06-20 14:25:52标签：作文英语Our class has recently held a heated discussion about the super girl's phenomenon w hich was hot news in these years. The students show their different opinions about it. 6 2% of the students support it, they think that it provides a chance for those with talent f or singing to show. In this way, some new singers can be trained and so it can promote the development of music and it can also improve their consciousness of competition. Ho wever 38% of the students are against it. They believe that many students spend too muc h time and energy on the competition. Some students even long to become famous overni ght and can't concentrate themselves on studies. What's worse it can cause some students to worship their idols blindly.In my opinion, we can have our preference but we shouldn't lose ourselves in the st ar pursuing tide.003.Can Money Buy Happiness来源：网络文章作者：匿名2009-06-20 14:28:41标签：作文英语Nowadays, a lot of people in society think the more money they have the more hap piness they will obtain. As a result they will try their best to get money, even without co nsidering the law.But in my view, the greatest happiness lies in one’s satisfaction with one’s surround ings. So long as we can look at things with a happy heart, we can be happy. It has noth ing to do with a mou nt of money we have. Therefore, people shouldn’t pay too much att ention money we have.On the contrary (相反地) what they should do is to put their money to good use and try to have an optimistic outlook all the time.004.The Advantages and Disadvantages of Surfing the Internet来源：网络文章作者：匿名2009-06-20 14:29:51标签：作文英语With the development of computer technology, the internet has become more and m ore popular. Opinons are divided on whether students should surf the internet after class. Some students regard it as a great helper, the main reasons for this are listed as follows, first you can surf the internet for any information you need in a short time without worki ng hard in the library; besides it is convenient to communicate with others by using the i nternet. However, other students think that there are some disadvantages of the internet be cause there is also some information that's not good for the students. In addition, spendin g too much time playing games online will not only have a bad affect on study but also do harm to our health. Therefore we should make proper use of the internet. It is of grea t importance for us to separate good plans from wild weeze.005.Natural Resources来源：网络文章作者：匿名2009-06-20 14:33:21标签：作文英语For many years, we have been told that China is rich in various natural resouces so many people take it for granted that they are inexhaustible. people have not considered that one day some of these natural resources will be used up and that we will then be faced with energy crisis. As a matter of fact, many of the natural resources can't be replaced once used up such as the coal mines or oil fuels, etc . energy crisis will threaten our existance because of our excessive exploitation and because of the growing population. Considering the above the government should try to take some action to protect the natural resources and people should be educated not to waste them.006.Examinations来源：网络文章作者：匿名2009-06-20 14:39:16标签：作文英语There are many arguments about the advantages and disadvantages of examinations. Some people think that examinations can help them review the lessons regularly, while ot hers maintain that too many examinations have frustrated them. To me I think an examina tion is a good thing for both the teachers and students. Teachers can find out how much the students have grasped and then improve their teaching, students on the other hand will learn what their weak points are and then study even harder. All in all, we should not waste time arguing whether examinations are good or not. What we should do is to try t o improve the exam system and try to adjust it to our different requirements.007.Homework来源：网络文章作者：匿名2009-06-20 14:40:10标签：作文英语Nowadays, more and more people in society have realized the importance of quality education. However students in primary schools and high schools are still complaining th at they are overloaded with too much homework. In many teachers' eyes, homework offer s a good methods to strengthen the knowledge the students have abtained, yet they ignore d the disadvantages that homework brings. For one thing too much homework will take u p all the spare time of students leaving them unable to enjoy the rest of their lives; for a nother too much homework will do great harm to students' health both physically and me ntally. Its high time that schools thought more about the function of homework and tried to take practical measures to promote the all-round development of students.008.Work and Rest来源：网络文章作者：匿名2009-06-20 14:41:14标签：作文英语Just as a famous saying goes: all work and no play makes Jack a dull boy. It is o bvious that people should have adequate rest in order to work hard yet some students esp ecially those who are preparing for the college entrance examination are worried about the ir lessons and spend all their day time going over them. In their eyes they should sacrific e their rest time in order to get high scores on tests. As a result they suffer greatly from poor health and some of them may do poorly in the examinations. In conclusion we sho uld be aware that nothing is more valuable than health which is a foundation of one succ ess. With a poor health one can hardly succeed in anything he does. Therefore a student we should have enough rest to ensure a healthy body to work and study.009.Is Honesty Going out of Style来源：网络文章作者：匿名2009-06-20 14:42:54标签：作文英语Most Chinese people are quite familiar with the story of the three wolves cries. We taught to be honest when we were very young however as we grow up we find that it i s difficult to be honest all the time. Sometimes we are forced to tell lies and other times we find people who are dishonest can enjoy great pleasures, while honest people have to suffer failures and still there are times when we have to tell lies in order not to hurt ot hers. Consequently people wonder whether honesty is going out of style. As far as I'm co ncerned honesty should always be an important feature valued by Chinese people we shou ld try our best to avoid telling lies even white lies only in this way it's a fair society aw aiting us.010.My Views of the Ban on Firecrackers来源：网络文章作者：匿名2009-06-20 14:46:03标签：作文英语Most of us may still hold a happy memory in our minds when we were young, the spring festival was celebrated with the company of the flaming box and the loud explosi ons of firecrackers, but because of the numerous disasters caused by them, govenments in some big cities have completely banned firecrackers in the downtown areas.Some people are sad about this decision. They argue that they will lose the tradition of the Spring Festival. Regardless of the fires and the damage to human bodies caused b y firecrackers they only focus on the pleasure firecrackers can bring about. With the devel opment of the modern society, more and more changes will take place in our lives. Some of which may be great challenges against the traditions, but we should support the goven ment's policy and the consideration of the whole society.What's more upon step into the new century we should celebrate the Spring Festival in a more civilized way.011.The Positive and the Negative Effects of Advertising来源：网络文章作者：匿名2009-06-20 14:48:13标签：作文英语In the morden information era, one can't avoid being surrounded by various kinds of advertisments. They serve as a direct bridge between manufactures and consumers. By ad vertising, manufactures can easily introduce their products and attract the attention of cons umers. On the other hand, consumers will have more opportunitis to get to know more ab out the things they are interested in. However, there is still lots of people who complain t hat many of the words in advertisements are rather misleading. Some manufactures spend far too much money on advertising their products without trying to promote the quality of their goods. To make things worse, some people even use false descriptions in their adve rtisements for the sake of making money. Perhaps it is not advertising that should be bla med rather we need to strengthen advertising law. Only under the firm control of govern ment, can advertisements benefit people in the broadest sense.012.The Generation Gap来源：网络文章作者：匿名2009-06-20 14:48:46标签：作文英语Nowadays many young people are complaining that their parents can not understand them very well. They say that their parents take care of every aspect of their lives leavi ng them a neighbor to have their private space yet parents are worried that their children don't show any respect to them and never give them any trust. Consequently the househol d phrases spreading it is the generation gap. By using this phrase both the young and the old have found a good explanation for their misunderstanding of each other. Yet they do n't bother to take any measures to cover the distance between them. In my opinion I thin k we should first admit that there are indeed some differences between parents and childr en then we should try to take some time to communicate with each other frequently. Not only the parents but also the kids should be equal when they're exchanging their views. Only by the joint efforts can the parents and children breach the gerneration gap between them.013.Science and Human Life来源：网络文章作者：匿名2009-06-20 14:50:17标签：作文英语With the development of science, human life has changed tremendously. People livin g in the 18th or 19th centuries would never imagine the advanced household appliances w e are now able to enjoy. Every aspect of our lives for instance, in the field of medicine or agriculture has witnessed great improvements through the application of science.However, many people complained that science has also brought disasters to human life. Some evil scientists have used their knowledge to do some illegal things. They may use science for the creation of weapons to destroy thousands of lives in wars, they might also use their knowledge to produce drugs to make a lot of money for themselves.Generally speaking, science has provided us with many valuable things but if used wrong way it can also lead to harm. We should try to keep science under control and pu t it to the best use of mankind .014.Do Lucky Numbers Really Bring Good Luck来源：网络文章作者：匿名2009-06-20 14:51:43标签：作文英语Do lucky numbers really bring good luck? Some people think lucky numbers like 6 or 8 would bring them good luck. Because they bare similar pronunciation to the related Chine se characters which mean “good luck”. As a result, some young couples choose a date in which there is a 6 or an 8 to hold their wedding. Well, many shops choose such dates t o celebrate their opening ceremony. However, it’s rather ridiculous to think numbers can b ring good fortune to people. One success has nothing to do with the number which one c hoose, but is rather related to one’s own efforts. Numbers are only numbers, we should n ot attach too much importance to them. If you really think that a number can bring good luck to you, simply choose it, but don’t forget to still go out of your way with your ow n effort. Without your own contribution, good luck won’t simply fall on you automaticall y.015.Film is Giving Way to TV来源：网络文章作者：匿名2009-06-20 15:44:09标签：作文英语There is a common phenomenon in our daily lives. During the period from 1975 to 1985, films goes decline dramatically 85,000 to about 12000 while TV watches sprung u p from 5,000 to100,000. As to the reasons, we may consider the following aspects.With the popularity of TV in our households, more and more people want one beca use of its cheapness and convenience. On the other hand, TV programmes can offer us m ore options at the same time. Nevertheless, films have not fully given way, some people still prefer going to the cinema. They feel that the audio visually effect offered in the cin ema is a permanent temptation.016.College Students Going to Rural Areas来源：网络文章作者：匿名2009-06-20 15:44:09标签：作文英语The above table indicates a common phenomenon in recent years, more and more students are willing to go to rural areas to put their knowledge into practical use. In 1993,the number of students going to rural areas was only 5% of the total number of graduates, however, five years later, that percentage have more than doubled.Upon thinking about the reasons for this change, we may find some interesting things. First of all, with the development of society, college students have changed their way of thinking. They are becoming more practical. If they can get a better paid job and if they are more likely to have a nice future in the rural areas. they will no longer stick to the idea of becoming assistant in big cities, on the other hand, the government also educates that choice of working in the rural areas which encourages more young students to leave the big cities.With the development of a balanced economy, big cities will gradually lessen their attraction for the college graduates.017.On Saving来源：网络文章作者：匿名2009-06-20 15:45:49标签：作文英语As we know, when senior students graduate from school, most of their reference bo oks as well as their text books which are still in good condition are thrown away. What a great waste it is! I suggest that we should recycle these books.On the one hand, recycling them can save a lot of natural resources which can be r eused to make textbooks. On the other hand, senior students may have made plenty of us eful notes on the pages, they are very useful to the following users. At present, the whol e nation is hold on to build an energy saving society.I think it is certaining meaningful to uur long term interests. In fact in Australia an d some other countries, recycling textbooks is popular which gives us a good example.018.My Views on Tradition来源：网络文章作者：匿名2009-06-20 15:47:24标签：作文英语Many people especially the aged hold the idea that we should stick to the traditons of our country. Otherwise they think we will lose our distinctive Chinese character. In the ir eys, we should be pround of the great traditions left by our ancesters, we should maint ain these old traditions in order to differentiate ourselves from other nations, but many ot hers are strongly oppose to it. They argue that we should not be confine to our own trad itions. As to some traditions, they are clearly obstacles to the development of our society. We should certainly not hesitate to give them up.While on the other hand, tradition may be improved through the international comm unications.We should perhaps not be obsessed with our own traditions. On the contrary, w e should brave enough to take in all the valuable traditions that comes from different nati ons. Only in this way, can our society be run properly and only in this way, can we imp rove on our traditons.019.Fast Food来源：网络文章作者：匿名2009-06-20 15:47:48标签：作文英语In recent years, China has witnessed the prosperity of fast food resturants in big citi es. It is quite easy for people to have meals at KFC or Mc donalds. At lunch time, it is hard to find seat in some fast food resturants. While so many small resturants are worrie d about how to attract more customers,foreign fast food resturants have rushed into China.Why can they draw so many people's attention?Firstly, fast food is very fast and c onvenient, people can stuff themselves within several minutes.Secondly, the resturants offer ing fast food also provide a very comfortable environment as well as a warm atmosphere. people can not only enjoy the food they have but can also feel the foreign flavor the re sturants try to display.However, most of the people who regularly go to fast food resturants rarely realize the facts that although the food may taste delicious, fast food usually has little nutrition. I think they should eat less for the sake of their health.020.Books来源：网络文章作者：匿名2009-06-20 15:48:12标签：作文英语Books play an important part in our daily life. There are numerous kinds of books and each one can be categorized according to its content. Books are to human life like f ood to our bodies. Our lives become colorful because of the existence of books. By readi ng books, our knowledge can be enriched. From books we can get to know many unfamil iar things; from books we can learn how people live in other counties; from books we ca n broaden our minds and no longer be isolated in our own living circle. In short, books can provide us with so many things. Yet, some books are harmful to us when reading the m we will be greatly affected. Therefore, try to choose good books and read them in a w ell planed way.021.Women in the Modern World来源：网络文章作者：匿名2009-06-20 15:48:43标签：作文英语Women are playing an increasingly important role today. In many fields of society, you can easily find lots of outstanding women.with their actions and achivements they hav e showed that women can almost do everthing as equally well as men.Meanwhile with the changes of their social role, the position of women in the famil y has also greatly improved. Yet, there is still some discrimination against women, some organizations refused to have women employees. Even when women are accepted, they oft en do not enjoy equal pay for equal work. Forthermore, many husbands still think their w ives as their possessions. In my eyes, women should try to get more opportunities to get educated and try to be independent both mentally and financially. They should never stop fighting for equal rights in society.petition and Cooperation来源：网络文章作者：匿名2009-06-20 15:49:08标签：作文英语competition and cooperationCompetition is a common phenomenon in our society, we compete when we play games; we compete in our study and we constantly compete for jobs, customers and profit, etc.We can say that competition is the one of the motives of development of society. B ut we often find competition and coorperation go hand in hand. In a football game, one t eam is competing with the other but each member of the team is cooperating with his tea m mates. In most cases we can't compete without coorperation thus they are equally important. While we are advocationg competition we can't forget coorperation nothing can be c arried to an extreme.Pure and exclusive competition leads to faliure only when competition combines wit h coorperation can it help obtaining our goals and satisfying our needs.023.Theory and Practice来源：网络文章作者：匿名2009-06-20 15:49:32标签：作文英语23.Theory and PracticeWhen talking about the importance of theory and practice,some people think theory i s rather empty and abstract,so we should try to pratice a lot to obtain our goals;while oth ers maintain that practice is rather too blind and what we really need is to understand pro found theories.Both of these viewpoints have own shortcomings.:The former one only focuses on th e importance of practice,but in fact,practice without the guidance of theory is just like a c ar without an engine.The latter one ignores the importance of practice.Paying no attention to the function of practice will only lead to empty words.What we should do is to systematically combine these two viewpoints.In our practic e,we should try to study the related theory to make our practice easier.While studying the ories,we should try to think in which situations we can put the theories into reality.024.Diligence来源：网络文章作者：匿名2009-06-20 15:50:00标签：作文英语24.DiligenceDiligence is the key to success.It means persistent work and does not mean that w e are to exhaust ourselves all day and night without any rest.The true meaning of diligenc e is the careful use of time for the purpose of self-improvement.Many people strongly believe in luck,which is a serious mistake.If luck does exist,it will never fall upon lazy bones.There are also some people who think that they are far s uperior to others in intelligence and therefore,do not need to study hard.they are sure abou t their success,but too often they willbe disappointed,as few of them can be successful onl y with their so-called cleverness.In fact,time is always fleeting and can never be re-gained.The really clever people a re those who understand the importance of diligence and make it their habit,These people are on the way to success by their own efforts.025.Cities or Countryside来源：网络文章作者：匿名2009-06-20 15:56:20标签：作文英语25.Cities or CountrysideWhen asked whether they would prefer to live in a city or the countryside,people t end to have different ideas.People who are in favor of city life may think it is too isolate d and rather backward to live in the countryside;while advocates for country life argue tha t the cities are rather crowded and dirty.In face,each way of living has its advantages as well as disadvantages.People living in the city can enjoy and convenient services,yet never will they have the fresh air breat hed by the countrymen.On the other hand,though people living in the county will be close to nature,sometimes they will feel that they have been forgotten by modern society.In my eyes,people should have the freedom to decide where to live.They can make their own decisions according to their own situation.026.Part-time Jobs来源：网络文章作者：匿名2009-06-20 15:56:59标签：作文英语26.Part-time JobsNowadays,many students,including some high school students,would like to have som e kind of part-time jobs.In their opinion,a part-time job can offer them a good chance to experience the real world outside schools.Additionally,they can get some money from doin g this and therefore become somewhat more indepent from their parents.However,parents are worried that part-time jobs will influence the studies of students. They think students will not have enough time to learn and rest,and what’s more,they fear that early contacts with society,may lead to juvenile delinquency.In fact,it is not a bad thing to take a part-time job,but students should never forget their main responsibility is to study well..028.Taking Part in school Activities来源：网络文章作者：匿名2009-06-20 15:59:40标签：作文英语Taking Part in School ActivitiesNowadays,a large number of students show great interest in school activities.In their eyes,learning from books is not the sole task of their school career.They also wish to take every chance to obtain practical knowledge.Additionally,they find that after long hours of study,they can relax both physically and mentally by taking part in school activities.However,other students insist that school activities have nothing to do with their stu dies and they fear that school activities will take up too much of their time.Therefore,they would rather spend most of their time studying.As far as I’m c oncerned,I think we should agree with the former group of students. We can learn plenty of things from the students we meet in activities.What’s more,we can also get lots of social experience from doing so.Such experience can never be learned by being a “bo ok-worn”.029.Early Education来源：网络文章作者：匿名2009-06-20 16:00:05标签：作文英语29.Early EducationIt’s a good thing that many parents have alrea dy realized the important of educatio n,but some parents are too eager to start their own program to educate their young childr en.It’s not unusual to see a 3 or 4 years old child busy learning many things,such as pla ying the piano,or drawing pictures,etc.However,few of them have any interest in the things they have learned,and even fewer will be successful in the future.There’s a very famous saying,which goes “More haste,less speed.” Without consideri ng the age and interests of their kids,parents are actually killing their curiosity.The so-call ed early education will do great harm to the children’s development.So,if the parents reall y want to pay attention to the children’s education,they should first think of their childre n’s interests,and then make a reasonable plan according to the age of their children.030.Why Do They Drop out of School标签：作文英语30.Why Do They Drop out of School?Nowadays,some students in rural areas drop out of school because of poverty.In so me remote parts of the countryside,many families are too poor to afford their children’s e ducation,but some parents also think that earning money is more useful than going to sch ool.As a result,many school children,particularly girls,are deprived of the chance to go to s chool.I think every child should have an equal opportunity to be educated.Society should t ry to help those poor families by donating some money to them.Furthmore,parents should be educated to be aware of the importance of education.Children are the hope of our cou ntry,but only when they are properly educated,can they play an important role in the const ruction of our country.031.Keys to the 21st century来源：网络文章作者：匿名2009-06-20 16:00:51标签：作文英语31.Keys to the 21st CenturyYoung students wil be the main work force in the 21st Century.To be a qualified ta lent,they should acquire two important keys,which are English and the knowledge of comp uters respectively.In the new century,English will be the major language used in communicating with people in different countries.To master the language means to have more opportunities to succeed.Additionally,computers are coming into almost every aspect of our livers.Knowing about them will be a basic requirement in the new century.Without the knowledge of co mputers,one can hardly cope with others in business or in daily life.As a student,we should work harder and master these two important keys to make a greater contribution to society.032.The Importance of Early Rising来源：网络文章作者：匿名2009-06-20 16:01:13标签：作文英语032.The Importance of Early RisingJust as Benjamin Franklin says, early to bed and early to rise makes a man healthy, weal thy and wise. It's true that early rising benefits us in many ways. First, it helps to keep us fit. We all need fresh air. But air is never so fresh in other time of the day as that i n the early morning. Besides, by taking morning exercises we can improve our health. Se cond, it can help us in our studies. In the morning we can learn quickly. Third, it can en able us to plan our work for the day. We can work well with a proper plan. Early rising can also give us enough time to get ready for a work. So we urge that those who alwa ys get up late should make great effort to get up early.033.The Harm of Fake Commodities来源：网络文章作者：匿名2009-06-20 16:01:41标签：作文英语33.The Harm of Fake CommoditiesWith the rapid economic development,fake commodities have rushed into our life an d greatly affected the normal market order.As can be seen,fake commodities are greatly ha rmful to both the consumers and the manufacturers.But why have fake commodities become so common?For one thing,some businessme n take risks producing and selling fake goods just for the purpose of making money,and s ome customers buy those products because of the lower prices.For another thing,the punish ment for producing fake goods is not severs enough to stop the violators.Therefore,today’s mrket has been flooded with fake brands of food,cothing and medicine,etc.Fake commodities have left thousands of people in confusion and panic:they no long er have a sense of safety.How terrible!I think it is high time we took some measures to clean up our society.034.Keeping Pets来源：网络文章作者：匿名2009-06-20 16:02:02标签：作文英语34.Keeping PetsNowsdays,many people would like to keep pets as their companions.There are so m any pet shops,pet foods and even pet clinics around us.For the pet owners,pets are their f avorite friends and can bring them countless pleasures.。

感谢你的欣赏李阳疯狂英语易背作文128篇24. Diligence 论勤奋Diligence is the key to success. It means persistent work and does not mean that we are to exhaust ourselves all day and night without any rest. The true meaning of diligence is the careful use of time for the purpose ofself-improvement.勤奋是成功的关键。

勤奋意味着坚持不懈地工作，但它并不意味着日夜竭尽全力而无休息地工作。

勤奋的真谛在于为了自身的提高而合理的使用时间。

Many people strongly believe in luck, which is a serious mistake. If luck does exist, it will never fall upon lazy bones. There are also some people who think that they are far superior to others in intelligence and therefore, do not need to study hard. They are sure about their success, but too often they will be disappointed, as few of them can be successful only with their so-called cleverness.许多人非常迷信运气，这是十分错误的观点。

如果运气真的存在，它也不会青睐懒人。

还有人认为自己远比他人聪明，因此无须努力工作，他们对于自己的成功太有把握。

秘密★启用前2009年重庆一中高2009级5月月考数 学(文科)试 题 卷 2009.5一、选择题：本大题共10小题，每小题5分，共50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． 如果{|1}A x x =>-，那么正确的结论是（ ） A ．0A ⊆B ．{0}A ∈C ．{0}⊂≠AD ．A ∅∈2．sin15sin75o o 等于（ ） A ．0B ．12C 3D ．143．已知平面向量(11)(11)a b ==-r r ，，，，则向量1322a b -=r r （ ） A ．(21)--，B ．(21)-，C ．(10)-，D ．(12)，4．设映射2:2f x x x →-+是实数集M 到实数集P 的映射，若对于实数t P ∈，t 在M 中不存在原象，则t 的取值范围是（ ）A ．[)1,+∞B ．(1,)+∞C ．(,1)-∞D ．(],1-∞5．在数列{}n a 中，若212n n n a a a +++=，且12320091005a a a a ta ++++=L ，则t =（ ） A ．2007 B ．2008 C ．2009 D ．20106．要从10名女生和5名男生中选出6名学生组成课外兴趣小组，如果按性别依比例分层随机抽样，则组成此课外兴趣小组的概率为（ ）A ．42105615C C C ⋅B ．33105615C C C ⋅ C ．615615C AD ．42105615A A C ⋅ 7．已知函数2()1(0)xf x e x =-> (e 是自然对数的底数)的反函数为1()f x -，则有（ ）A ．1()2ln(1)(1)fx x x -=+>- B ．1()1(1)f x x x -=->C ．1()1(0)f x x x -=+> D ．1()2ln(1)(0)f x x x -=+>8．半径为1的球面上有三点A 、B 、C ，其中A 与B 、C 两点间的球面距离均为2π，B 、C 两点间的球面距离为3π，则球心到平面ABC 的距离为（ ） 21 21 221 321 9．已知函数22()log (3)f x x ax a =-+在区间[2,)+∞上是增函数,则实数a 的取值范围是( )(A)(-∞,4) (B)(-4,4] (C)( -∞,-4)∪[2,+∞) (D)[-4,2) 10．已知3211()(1)(1)132f x x a x a b x =++++++，若方程()0f x '=的两个实数根可以 分别作为一个椭圆和双曲线的离心率，则（ ）A ．3a b -<-B ．3a b -≤-C ．3a b ->-D ．3a b -≥-二．填空题：本大题共5小题，每小题5分，共25分．11．103x x 的常数项是 （用数字作答）． 12．在ABC ∆中，A ∠，B ∠，C ∠所对的边分别是a ，b ，c ，已知2222a b c ab +-=，则C ∠= ．13．已知实数,x y 满足条件03412x y x x y ≥⎧⎪≥⎨⎪+≤⎩，则11y x ++的最大值为 ；14．以椭圆两焦点为直径的端点的圆交椭圆于四个不同点，顺次连结这四个点和两个焦点，恰好围成一个正六边形，那么这个椭圆的离心率等于 ；15．已知函数()sin cos()f x x x t =++为偶函数，且t 满足不等式23400t t --<，则t 的值为 ．三．解答题：本大题共6小题，共75分．解答应写出文字说明，证明过程或演算步骤．16．(本题满分13分) 已知函数22()3sin 23cos 5cos f x x x x x =++．ABC A 1B 1C 1P（Ⅰ）求函数()f x 的周期和最大值； （Ⅱ）已知()5f α=，求tan α的值．17．(本题满分13分) 2009年4月22日是第40个“世界地球日” (World Earth Day)，在某校举办的《2009“世界地球日”》知识竞赛中，甲、乙、丙三人同时回答一道有关保护地球知识的问题，已知甲回答对这道题的概率是3/4，甲、丙两人都回答错误．．．．．的概率是1/12，乙、丙两人都回．．答对．．的概率是1/4． (Ⅰ)求乙、丙两人各自回答对这道题的概率．(Ⅱ)求甲、乙、丙三人中恰有两人回答对该题的概率．18．(本题满分13分)如图，已知正三棱柱111ABC A B C -的各棱长都为a ，P 为棱1A B 上 的动点．(Ⅰ)当1BP PA =u u u r u u u r 时，求证：PC AB ⊥； (Ⅱ) 若123A P PB =u u u r u u u r，求二面角P AC B --的大小．19．(本题满分12分)已知函数32()1()f x x ax bx x R =+++∈，函数()y f x =的图像在点(1,(1))P f 的切线方程是4y x =+．A OxyPQ(Ⅰ)求函数()f x 的解析式； (Ⅱ)若函数()f x 在区间2,3k k ⎛⎫+ ⎪⎝⎭上是单调函数，求实数k 的取值范围．20．(本题满分12分)过x 轴上动点(,0)A a 引抛物线21y x =+的两条切线AP 、AQ ，P 、Q 为切点．(Ⅰ)若切线AP ，AQ 的斜率分别为1k 和2k ，求证：12k k ⋅为定值，并求出定值；(Ⅱ) 求证：直线PQ 恒过定点，并求出定点坐标；(Ⅲ)当||APQS PQ ∆u u u r 最小时，求AQ AP ⋅u u u r u u u r 的值．21．(本题满分12分)已知数列{}n a 中，13a =，25a =，其前n 项和n S 满足12122n n n n S S S ---+=+(3)n ≥，令11n n n b a a +=. (Ⅰ)求数列{}n a 的通项公式；(Ⅱ)令21123222n n n T b b b b -=+⋅+⋅++⋅L ，求证：①对于任意正整数n ，都有16n T <． ②对于任意的10,6m ⎛⎫∈ ⎪⎝⎭，均存在*0n N ∈，使得0n n ≥时，n T m >．2009年重庆一中高2009级5月月考数学(文科)试题卷答案 2009.5一、CDDBC;ACBBA.二、11.210 12. 45o13.4 14. 31-；15. 23π-或2π或25π三．解答题：16. 解：解：（Ⅰ）()223sin 23sin cos 5cos f x x x x x =++32cos 24x x =++＝π2sin(2)46x ++．∴周期为22ππ=， 最大值为6 ； （Ⅱ）由()5f α=，得223sin 23cos 5cos 5αααα++=．∴1cos 21cos 23325522ααα-++=． 3sin 2cos 21αα+=，3sin 21cos 2αα=- 223sin cos 2sin ααα⇒=sin 03αα==或tan ， ∴tan 0tan 3αα==或．17.解：记“甲回答对这道题”、“ 乙回答对这道题”、“丙回答对这道题”分别为事件A 、B 、C ，则43)(=A P ，且有⎪⎩⎪⎨⎧=⋅=⋅41)()(121)()(C P B P C P A P ，即⎪⎩⎪⎨⎧=⋅=-⋅-41)()(121)](1[)](1[C P B P C P A P ∴32)(,83)(==C P B P （2）由（1）41)(1)(=-=A P A P ,31)(1)(=-=B P B P .则甲、乙、丙三人中恰有两人回答对该题的概率为：33135213215()()()48348348332P P A B C P A B C P A B C =⋅⋅+⋅⋅+⋅⋅=⋅⋅+⋅⋅+⋅⋅=18. 解（1）当11=PBPA 时，取AB 的中点D '，连接D P DC '',，因为ABC ∆为正三角形，则AB D C ⊥'，由于P 为B A 1的中点时，A A D P 1//'∵P⊥A A 1平面ABC ,∴⊥'D P 平面ABC , ∴AB PC ⊥.（2）当123A P PB =时，过P 作PD AB ⊥于D ,如图所示，则PD ⊥底面ABC ,过D 作DE AC ⊥于E ,连结PE ，则PE AC ⊥,DEP ∠∴为二面角P AC B --的平面角，又1PD A A Q ∥,132,,25BD BP AD a DA PA ∴==∴=3sin 60,DE AD ∴=⋅=o 又13,5PD AA =Q 35PD a ∴=，tan 3,PD PED DE∴∠==60PED ∴∠=o , 二面角P AC B --的大小为60o.19. 解：(Ⅰ)2()32f x x ax b '=++，在点()()1,1P f 处的切线()()()111y f f x '-=-即()()()111y f x f f ''=+-，故4y x =+与()()()111y f x f f ''=+-表示同一条直线，()()()11114f f f '=⎧⎪∴⎨'-=⎪⎩，()()1115f f '=⎧⎪∴⎨=⎪⎩即23125a b a b ++=⎧⎨++=⎩，58a b =-⎧∴⎨=⎩，()32581f x x x x =-++. (Ⅱ) 由于()()2()31083420f x x x x x '=-+=--=，则43x =或2x =，所以函数)(x f 的单调区间是[)44,,,2,2,33⎛⎤⎡⎤-∞+∞ ⎥⎢⎥⎝⎦⎣⎦B1CAC1B 1A DE故24,,33k k ⎛⎫⎛⎤+⊆-∞ ⎪ ⎥⎝⎭⎝⎦或24,,233k k ⎛⎫⎡⎤+⊆ ⎪⎢⎥⎝⎭⎣⎦或[)2,2,3k k ⎛⎫+⊆+∞ ⎪⎝⎭2433k ∴+≤或22343k k ⎧+≤⎪⎪⎨⎪≥⎪⎩或2k ≥，23k ∴≤或43k =或2k ≥，k ∈[)24,2,33⎛⎤⎧⎫-∞+∞⎨⎬ ⎥⎝⎦⎩⎭U U .20. 解：（Ⅰ）设过)0,(a A 与抛物线12+=x y 的相切的直线的斜率是k ，则该切线的方程为：()y k x a =-，由()21y k x a y x ⎧=-⎨=+⎩得()210x kx ka -++=()2241440k ka k ak ∴∆=-+=--=，12,k k 是方程2440k ak --=的解，故124k k =-（Ⅱ）设()()1122,,,P x y Q x y 由于2y x '=，故切线AP 的方程是：()1112y y x x x -=-，又由于A 点在AP 上，则()1112y x a x -=-则()()21111111222221y x a x x a x x a y -=-=-=--，1122y x a ∴=+，同理2222y x a =+则直线PQ 的方程是22+=ax y ，则直线PQ 过定点()0,2.（Ⅲ）要使||APQS PQ ∆u u ur 最小，就是使得A 到直线PQ 的距离最小， 而A 到直线PQ 的距离2222221141322414141d a a a a ⎛⎫⎫===+≥+++224141a a +=+即212a =时取等号. 设()()1122,,,P x y Q x y由2221y xa y x =+⎧⎨=+⎩得2210x xa --=，则12122,1x x a x x +==- ()()()()()()121212112222AQ AP x a x a y y x a x a ax ax ⋅=--+=--+++u u u r u u u r()()()2222212129143414324332a x x a x x a a a a a a =+++++=-++⋅++=+=. 21. 解：(Ⅰ)由题意知()111223n n n n n S S S S n -----=-+≥即()1123n n n a a n --=+≥()()()112322n n n n n a a a a a a a a ---∴=-+-++-+L122122222522221221n n n n n ----=++++=++++++=+L L ()3n ≥检验知1,2n =时，结论也成立故21nn a =+.①由于()()()() ()()1111 112121111112222212121212121n nn nn n nn n n nb+--++++-+⎛⎫⋅=⋅=⋅=-⎪++++++⎝⎭21123222nn nT b b b b-=+⋅+⋅++⋅L223111111112121212122121n n+⎛⎫=-+-++-⎪++++++⎝⎭L1111111.212212126n+⎛⎫=-<⋅=⎪+++⎝⎭②若nT m>，其中10,6m⎛⎫∈ ⎪⎝⎭，则有111121221nm+⎛⎫->⎪++⎝⎭，则132116nm+>--，故23log11016nm⎛⎫>-->⎪-⎝⎭，取02233log111log11616nm m⎡⎤⎡⎤⎛⎫⎛⎫=--+=-⎪ ⎪⎢⎥⎢⎥--⎝⎭⎝⎭⎣⎦⎣⎦（其中[]x表示不超过x的最大整数），则当0n n≥时，nT m>. 即1C到平面PAC的距离为12a.。

李阳疯狂英语高考作文13篇。

成功之路第一篇：暑假打工Summer Holiday Part-time Job成功之路第二篇：广告与现代生活Advertisements in Our Life成功之路第三篇：口头通知——欢迎美国代表团American Student’s Visit成功之路第四篇：写好英语作文的秘密Secrets to Write a Beautiful Article成功之路第五篇：经典求职信Job Hunting成功之路第六篇：学生是否应该参加体育锻炼Whether Students should Take Physical Exercise成功之路第七篇：因特网的作用On the Internet成功之路第八篇：经典图表描述The Red Star Television Factory成功之路第九篇：农村儿童失学问题Rural Education成功之路第十篇：网络学校New Century Net-school成功之路第十一篇：北京奥运Beijing Olympic Games成功之路第十二篇：学生是否有必要带手机去学校Mobile Phones at School李阳老师特别奉献：英语是我最喜欢的科目English Is My Favorite Subject成功之路第一篇：暑假打工文体：记叙文【题目要求】暑假过后，你的外籍教师要同学们汇报自己假期所从事的社会活动和自己的感想。

请写一书面材料交给外教：你在2005年暑假到一家肯德基（KFC）快餐店做保洁员（cleaner）工作，你每天工作7个小时，为期3周，这项工作辛苦且枯燥，并使你感到非常的疲惫，这几乎使你半途放弃。

在新学期开始之前，你终于坚持完成了这项工作，并且认识到了劳动（labor）的意义，你认为这是一次成功的体验。

注意：1.必须用第一人称2.字数100个左右【李阳疯狂英语经典范文】Summer Holiday Part-time Job[1] During the summer holiday of 2005,05年暑假期间， I thought I should do something meaningful instead of staying at home and watching TV.我认为我应该做一些有意义的事而不是呆在家里看电视。

高中生英语作文《的成功之路》【中英文版】The Path to SuccessSuccess is a journey that each individual embarks upon, and the path to success can be filled with challenges and obstacles.However, with determination, perseverance, and a strong will, one can overcome any difficulties and achieve their goals.Firstly, determination is key to success.Having a clear vision of what you want to achieve and a strong desire to make that vision a reality will drive you forward, even when the going gets tough.Whether it's excelling in academics, pursuing a passion for the arts, or striving to excel in sports, determination will help you stay focused and committed to your goals.Secondly, perseverance is essential in the journey towards success.No one achieves success without encountering setbacks and failures.However, it is how we respond to these challenges that defines our character and determines our success.Perseverance means not giving up when things get difficult, but instead, picking yourself up, learning from your mistakes, and continuing to strive towards your goals.Lastly, a strong will is necessary to overcome the obstacles that lie on the path to success.A strong willpower helps you push through boundaries, break through limitations, and overcome self-doubt.It is thedriving force that enables you to keep going, even when the odds are stacked against you.In conclusion, the path to success is not a straight line, but a winding road filled with challenges and obstacles.However, with determination, perseverance, and a strong will, anyone can overcome these difficulties and achieve their dreams.So, never give up on your dreams, and keep moving forward on your journey towards success.。

清晨励志呐喊I can’t stand my poor English!I want to improve my situation!I want to change my life!I don’t want to let my parents down!I don’t want to let my country down!Most importantly, I don’t want to let myself down!I want to speak perfect English!I want to understand all kinds of accents!I want to write beautiful articles!I want to read thousands of books!I want to translate freely between Chinese and English!I want to be the master of the world’s two most important languages:Chinese and English.我不能忍受我的破烂英语！我要改变我的处境！我要改变我的生活！我不想让我的父母失望！我不想让我的祖国失望！更重要的是，我不想让我自己失望！我要说一口纯正的英语！我要听懂各种口音！我要写出漂亮的文章！我要读成千上万的书！我要在中英文之间自由转换！我要成为世界上两门最重要的语言：中文和英文的主宰和大师！羊皮卷我是自然界最伟大的奇迹自从上帝创造了天地万物以来，没有一个人和我一样。

我的头脑、心灵、眼睛、耳朵、双手、头脑、嘴唇都是与众不同的。

言谈举止和我完全一样的人以前没有，现在没有，以后也不会有。

虽然四海之内皆兄弟，然而人人各异。

我是独一无二的造化。

我是独一无二的造化。

物以稀为贵，我独行特立，因而身价百倍。

我是千万年进化的终端产物，头脑和身体都超过以往的帝王与智者。