BJU Reading Grade 2 美国小学二年级阅读
北京第二实验小学二年级推荐书目
序
号
必读书目
选读书目
类别
书名及作者
万字数
类别
书名及作者
万字数
1
国学经典
《千字文》(周兴嗣)
0.1
国学经典
《增广贤文》(少年版)(张润秀,孙如琨)
13.5
2
绘本
《我妈妈》和《我爸爸》(英.安东尼·布
共( 10)本\(约109)万字
合计
共( 15 )本\(约167)万字
2.8
科普
《神奇校车第一辑》(【美】乔安娜•柯尔)一套10册
1.5
7
科普
《穿越时空系列》一套12册
2
科普
《神奇校车第二辑》(【美】乔安娜•柯尔)一套10册
1.5
8
科普
《西顿动物记》(加.欧内斯特·汤普森·西顿)一套10册
4
科普
《我的自然科学课系列》(【日】三枝博幸等著)一套4册
1
9
文学小说
《爱的教育》(意.亚米契斯)
绘本
《爱心树》((美)希尔弗斯坦)
3
绘本
《和甘伯伯去游河》(英.伯宁罕)
1.3
绘本
《7号梦工厂》(美.大卫·威斯纳)
4
童话故事
《绿野仙踪》(美.鲍姆)
9.8
绘本
《驴小弟变石头》(美.威廉.史塔克)
5
童话故事
《长袜子皮皮》(瑞典.林格伦)
15
绘本
《老鼠牙医――地嗖头》(美.威廉.史塔克)
6
童话故事
《了不起的狐狸爸爸》(罗尔德·达尔奇幻文学精品最新版)
美国小学二年级英语阅读 Level L
Objective Concepts (sphinx, myth/legend); Sight words (statue, Egypt, wise,sandstorms, happened, restoring)The Great Sphinx StatueBy: Sue PetersonThe Great Sphinx is a lion with the head of a person cut out of rock. It is a statue located in Egypt. Legends have been told about the Great Sphinx. Many of these stories talk about the Sphinx being strong and wise. Some people think that there is a hidden area inside the Sphinx for people to enter. But no one has found a way to get inside.There is a story about a young man who fell asleep next to the Great Sphinx. He had gone hunting in the daytime and he was tired. The man had a dream that he would bethe King of Egypt if he cleaned the sand away from the sphinx. At that time, the Great Sphinx was covered up with sand except for its head. Sandstorms sometimes cover the body of the statue.But the story doesn’t have an ending. What do you think happened? Did the boy clean the sand away from the Sphinx? Did he become King of Egypt? No one seems to know.The statue is very large. Thewhole statue is 150 feet longwith 50 feet long paws. Thehead is 30 feet long and 14 feetwide.The sphinx is getting fixed. It will look like it once did. This process is called restoring. Wind and sand have worn parts of the statue’s nose and some other parts of the statue away completely. These parts will be rebuilt to look as good as new.PracticeLanguage WorkA. Fill in the blank and spell.statue s t a __ __ __ _______________________ Egypt E __ __ __ t _______________________ wise w __ s __ _______________________ sphinx s __ __ i n __ _______________________ B. Use each word in a sentence. Underline the word used.happened _________________________________________ _____________________________________________________ _____________________________________________________.sandstorms _________________________________________ _____________________________________________________ _____________________________________________________.restoring _________________________________________ _____________________________________________________ _____________________________________________________.legend ______________________________________________ _____________________________________________________ _____________________________________________________.C. Phonics work. When adding “ing” to the word “restore”, the silentletter “e” is dropped to make “restoring”. Can you think of threeother words that end in a silent “e” and write them down? Thenwrite the new word by dropping the “e” and adding “ing”.Word with silent “e” Word with “ing”Example: restore Example: restoring1. ________________________________________________2. ________________________________________________3. ________________________________________________D. Word Search.Find the words: statue, Egypt, wise, happened, sandstorms,restore, sphinx, myth, legendMultiple-Choice Questions (Put an X in front of the correct answer.)1. The text describes the sphinx as a _____________.a. A person cut out of rock.b. A lion cut out of rock.c. A person with the head of a lion cut out of rock.d. A lion with the head of a person cut out of rock.2. Why is the sphinx getting fixed?a. Rain ruined the statue.b. Wind and sand wore away the nose and other parts.c. Snow damaged the statue.d. A flood washed away part of the statue.3. What is the Great Sphinx?a. a statue in Egypt about 150 feet longb. a statue in Egypt about 100 feet longc. a famous cave in Egypt about 150 feet longd. a desert in Egypt about 1000 feet acrossDefinitions (Write the meaning of each word as it is used in the text.)1. statue2. Egypt3. wiseExtended Response (Answer in complete sentences.)1. Describe the size of the Great Sphinx (its paws, head, and theentire statue)._____________________________________________________ _____________________________________________________ _____________________________________________________ _____________________________________________________ _____________________________________________________.2. What is one of the legends surrounding the Great Sphinx?_____________________________________________________ _____________________________________________________ _____________________________________________________ _____________________________________________________ _____________________________________________________ _____________________________________________________.3. The story about what happened to the Sphinx does not have anending. What do you think happened? Did the boy clean the sand away from the Great Sphinx? Did he become King of Egypt?_____________________________________________________ _____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________ ____________________________________________________.Answer SheetAnswers for Matching, Multiple-Choice Questions and Extended ResponseThe Great Sphinx StatueMultiple-Choice Questions1. d2. b3. aExtended Response (Accept reasonable answers.)1.The statue is 150 ft. long; it has 50 ft. long paws, and the head is 30 ft.long.2.One legend is a boy dreamt that if he cleaned the sand off of the statuethat he would become King.3.Free expression.。
二年级英语阅读理解(精选合集)(最新)
二年级英语阅读理解篇一Hello! My name is Sun Wei. Here is an American boy. His name is David Smith. He is twelve. And I am twelve, too. David is in Class Three, Grade One. I am in Class Three, Grade One, too. He is Number Eight, Row Five.I am Number Five, Row Four.( )1.David___an American boy.A. isB. amC. are( )2.He is___ .A. tenB. elevenC. twelve( )3.Sun Wei is___ Class Three, Grade One.A. inB. onC. of( )4.David is in Row___ .A. FourB. FiveC. One( )5.Sun Wei is Number___ .A. FourB. Five D. Eight二年级英语阅读理解篇二Hello. My name is Millie. Im thirteen years old. Im a good boy. I often play volleyball so .Im fit and healthy. For breakfast, I always have some bread and an egg and I drink a glass of orange juice. I sometimes have rice with fish and an apple for lunch. I really love apples, because An apple a day keeps the doctor away(离开). In the evening, I sometimes have a glass of milk or a cup of green tea and some biscuits. For dinner, I often have soup, meat and vegetables. I like vegetables because they are fresh and healthy. They are good for me. Look at me! How tall and strong I am now!( )Millie is 14 this year.( )Millie likes football very much.( )Millie often drinks orange juice for breakfast.( )Millie likes apples because theyre healthy.( )I often have vegetables for dinner.二年级英语阅读理解篇三Van and Ted are twin brothers. They look the same. They are English. They are eleven. They are in No.15 Middle School. They are new students in Class One, Grade One. Van sits in Row One. Ted sits in Row Three.( )1. Van and Ted are ___.A. twins brothersB. twin brotherC. twin brothers( )2. They are___.A. EnglishB. AmericanC. Chinese( )3. They are___.A. tenB. elevenC. twelve( )4. They are___students.A. newB. oldC. good( )5. Ted sits___Row Three.A. onB. inC. at。
北京版二年级下英语中英对照
英语二年级下课文及韵文中英对照Lesson 1 What 's this? It 'sa clock. It tells the time. What 's that? It 's also a clock. It 's five o 'clock now.I have a round face but no eyes. 我有一张圆脸却没有眼睛。
I have two hands but no legs. 我有两只手却没有腿。
I have no mouth but I can tell. 我没有嘴但是我能告诉你。
It ' s the time, the time that I can tell. 我能告诉你的就是时间。
Here you are. 给你。
Pass me the books, please. 请把书递给我。
Here you are. 给你。
Lesson 5 How many seasons are there in a year? 一年有多少个季节? There are four.Which season do you like?I like summer.I go swimming in summer. I like winter.I go skating in winter. Summer ' s hotn, o school. Fall comes, it becomes cool. We all go back to school. Lesson 6Do you like spring, Lingling? Yes, I do. 是的,我喜欢。
There are flowers in spring. Do you like spring? No, I don 't. I like fall. Spring, spring,Let us sing.We are all happy To sing for spring.Lesson 7The sky is so blue today. 今天天空如此的蓝。
BJU Reading Grade 6 美国小学六年级阅读
江西省南昌市2015-2016学年度第一学期期末试卷(江西师大附中使用)高三理科数学分析一、整体解读试卷紧扣教材和考试说明,从考生熟悉的基础知识入手,多角度、多层次地考查了学生的数学理性思维能力及对数学本质的理解能力,立足基础,先易后难,难易适中,强调应用,不偏不怪,达到了“考基础、考能力、考素质”的目标。
试卷所涉及的知识内容都在考试大纲的范围内,几乎覆盖了高中所学知识的全部重要内容,体现了“重点知识重点考查”的原则。
1.回归教材,注重基础试卷遵循了考查基础知识为主体的原则,尤其是考试说明中的大部分知识点均有涉及,其中应用题与抗战胜利70周年为背景,把爱国主义教育渗透到试题当中,使学生感受到了数学的育才价值,所有这些题目的设计都回归教材和中学教学实际,操作性强。
2.适当设置题目难度与区分度选择题第12题和填空题第16题以及解答题的第21题,都是综合性问题,难度较大,学生不仅要有较强的分析问题和解决问题的能力,以及扎实深厚的数学基本功,而且还要掌握必须的数学思想与方法,否则在有限的时间内,很难完成。
3.布局合理,考查全面,着重数学方法和数学思想的考察在选择题,填空题,解答题和三选一问题中,试卷均对高中数学中的重点内容进行了反复考查。
包括函数,三角函数,数列、立体几何、概率统计、解析几何、导数等几大版块问题。
这些问题都是以知识为载体,立意于能力,让数学思想方法和数学思维方式贯穿于整个试题的解答过程之中。
二、亮点试题分析1.【试卷原题】11.已知,,A B C 是单位圆上互不相同的三点,且满足AB AC →→=,则AB AC →→⋅的最小值为( )A .14-B .12-C .34-D .1-【考查方向】本题主要考查了平面向量的线性运算及向量的数量积等知识,是向量与三角的典型综合题。
解法较多,属于较难题,得分率较低。
【易错点】1.不能正确用OA ,OB ,OC 表示其它向量。
2.找不出OB 与OA 的夹角和OB 与OC 的夹角的倍数关系。
美国2年级阅读(with answer)
11 �
When should you first put water in the jar? A after the flowers bloom B after the roots start to show C after the plant is an inch tall D after the bulb is placed on the marbles
CSR00202.OSA
8 �
How should the word important be
divided into syllables? A im-por-tant B imp-or-tant C imp-o-rtant D im-port-ant
CSR00208.OSA
— 8 —
This is a sample of California Standards Test questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2008 California Department of Education.
CA L I F O R N I A S TA N DA R D S T E S T
G R A D E
Released Test Questions
English–Language Arts
2
Read the next two stories. Think about how these stories are the same and how they are different.
小学二年级英语阅读材料
小学二年级英语阅读材料My Pet RabbitI have a pet rabbit named Rosie. She is a fluffy and cute little bunny with soft white fur and big, floppy ears. Rosie is two years old and she is the perfect pet for me.Rosie lives in a cozy hutch in our backyard. It has a spacious cage where she can hop around freely. Inside her hutch, there are fresh hay and vegetables for her to eat. Every day, I clean her hutch and make sure she has enough food and water.Rosie loves to play in our garden. I often let her out of her hutch so she can run and explore. She enjoys nibbling on grass and digging small holes in the ground. Sometimes, I sit next to her and watch as she hops around happily.Taking care of Rosie has taught me a lot about responsibility. I have to make sure she is safe and healthy. This means keeping her hutch clean and providing her with a balanced diet. I also take her to the vet for regular check-ups to ensure she is in good health.Not only is Rosie a wonderful pet, but she is also a great companion. Whenever I feel sad or lonely, I can always count on her to cheer me up. Her presence brings me joy and comfort. We have formed a special bond, and I treasure every moment I spend with her.Aside from being a loving pet, Rosie is also a smart rabbit. She can understand simple commands and tricks. For example, when I say "comehere," she will hop towards me. It's amazing how quick she learns and remembers things.Although Rosie cannot speak, I can still communicate with her in my own way. I speak to her softly, and she responds by twitching her nose or licks my hand. It's a unique language only the two of us understand.In conclusion, Rosie is the best pet I could ever ask for. She brings joy and companionship into my life. Taking care of her has taught me responsibility and the importance of love and care for animals. I am grateful to have such a wonderful pet like Rosie in my life.。
二年级补充阅读材料
A guide to universities in the USAThis section provides a basic outline of the structure of university education in the US along with a brief overview of the facilities for overseas students in colleges and universities in the USA.Education in the USAFrom small institutions with a few hundred students to large government-supported colleges and universities teeming with thousands of students and from vocational colleges to privately sponsored research institutions, universities in the USA cater to a wide variety of educational needs of overseas students. The vast range of options, not only on the academic front but also in matters of financing structures, career choices and employment opportunities there is a greater possibility of the right fit for international students in line with their expectations.Structure of the education system in the USACertain practices or traditions of colleges and universities in the US, at least in the public domain, differ quite markedly from those in other countries. For example, the responsibility of formulating policies with regard to higher education rests solely with the state and not a central authority. Also, private sponsorship plays a dominant rolein funding scholarships and research projects in the US. The broad categorization of the different types of institutions for higher education is as follows:•State College or Universities (of which there is at least one in each U.S.state): As the name suggests, these universities are funded by the states.•Private College or Universities (which are normally smaller in size than government-run institutions):.These are generally more difficult to get into,with the tuition fee also being on the higher side in comparison to the stateschools.•Professional Schools (that impart training in professional fields such as art, music, business, engineering etc): Some of these schools offer graduateprograms as well. These may be attached to a university or function asseparate colleges.•Institutes of Technology (which conduct courses of study of at least fouryears' duration in the fields of science and technology): These institutes toomay offer graduate programs.A majority of the colleges and universities in the US adhere to either a quarter-based, (with three quarters in a year lasting 12 weeks each), or a semester-based system which comprises two semesters of 16 weeks each, with an optional quarter or semester in the summer. Typically, the value of a course is assessed in terms of unitsor 'credits' which correspond to the number of hours or classes a student attends ofthat particular subject. In order to maintain visa status, it is mandatory that overseas students register for at least 12 credits.A particularly distinguished group of universities comprise what is known as the 'Ivy League'. The League is a group of eight colleges and universities situated on the east coast, which are world renowned for their excellent academic standards. These rank among some of the earliest established American institutionsThe table below gives the pertinent information about the Ivy League members.Name Year of establishmentHarvard University 1636Yale University 1701University of Pennsylvania 1740Princeton University 1746Columbia University ·1754Brown University 1764Dartmouth College 1769Cornell University 1865The intensity of research activity varies greatly across public universities in the USA. Institutions with large research budgets receive roughly 30 per cent of their funding from the state government, the rest being made up by grants, allocations and tuition fees. In this matter, the private colleges generally enjoy greater flexibility as they donot depend on the government, instead relying on philanthropic and professional organizations and their alumni for a large part of their funding.Unlike quite a few other countries, reviews of the quality of higher education in theU.S. are carried out by private, non-profit organizations specifically designed for this purpose. Besides helping top U.S. colleges and universities maintain quality, professional accreditation of this sort also helps in determining qualification to availof state funding and fosters confidence in prospective employers in the degree or credentials obtained from the universities.Student comfort - financial aid and other aspectsThere is not much financial aid for students from sources within the US itself. International students must rely on their own sources or turn to their local governments and organizations in their own country for sponsorship. Although state universities are now seeking greater funding to support international study programs, financial aid for overseas students in US colleges and universities remains limited to research grants or allocations. Graduate students can avail of this by applying for teaching and research assistantships or even for administrative positions. In additionto international students can also apply for fellowships from both state and private universities.The choice is much greater in matters of housing and accommodation, starting from a decision to live on campus or off it. On-campus options include 'residence halls',where typically 2 students share a room, or apartment living where 4 students generally share two rooms and a kitchen. An advantage of living on the premises isthe accessibility to all the facilities - sports fields, libraries, computer centers, cafeteria etc. - which will be of walking, or at the most cycling, distance. Another major benefit is safety, not only because of the universities' own security forces butalso because of always being in a group. It is best to know and arrange for housing on campus in advance so that any rush at the last minute can be avoided.Universities that do not have sufficient accommodation on campus have offices tohelp students find apartments outside the campus and give them information on the local neighborhood. Many overseas graduate students prefer living off-campus, since there are lesser distractions and it affords them greater privacy. Also, the living and food costs might be lower when doing your own cooking in a separate kitchen. It is advisable for those who wish to live off-campus to wait until reaching the U.S. before deciding on an apartment or signing a lease.US universities: admission and beyondOnce the personal application forms have been filled out and sent along with the test scores of the TOEFL (Test of English as a Foreign Language) and other exams likethe GRE (Graduate Research Examination), the admission office of the university applied to usually intimate the student of their acceptance through a letter.The candidate is asked to comply with various requirements, including the provisionof proof of financial ability more than once. It is also possible that the preferred university may offer only waiting list status to the applicant, in which case it is prudent to accept the offer but confirm a place at a second or third choice university, though one risks losing the initial deposit.Most of the colleges and universities in the USA offer separate orientation or briefing sessions for foreign students upon arrival on campus. It is important to attend these sessions to get a sense of not only the academic structure of the university but also know one's rights under immigration regulations.Source:/studyabroad/usa/top-best-university/usa-higher-education-sy stem.htmlSearched on March 16, 2009UK Education System13The education system in the UK is divided into four main parts, primary education, secondary education, further education and higher education. Children in the UK have to legally attend primary and secondary education which runs from about 5 years old until the student is 16 years old.The education system in the UK is also split into "key stages" which breaks down as follows:1. Key Stage 1 - 5 to 7 years old2. Key Stage 2 - 7 to 11 years old3. Key Stage 3 - 11 to 14 years old4. Key Stage 4 - 14 to 16 years oldGenerally key stages 1 and 2 will be undertaken at primary school and at 11 years olda student will move onto secondary school and finish key stages 3 and 4.Students are assessed at the end of each stage. The most important assessment occursat age 16 when students pursue their GCSE's or General Certificate of SecondaryEducation. Once students complete their GCSE's they have the choice to go onto further education and then potential higher education, or finish school and go into the working world.Our overview of the education system in the UK is divided into five main sections:Primary EducationPrimary education begins in the UK at age 5 and continues until age 11, comprising key stages one and two under the UK educational system. Please visit the British Council page for more information on primary education.Secondary EducationFrom age 11 to 16, students will enter secondary school for key stages three and four and to start their move towards taking the GCSE's - learn more about secondary education in the UK and what it will involve. Primary and secondary education is mandatory in the UK; after age 16, education is optional.Further EducationOnce a student finishes secondary education they have the option to extend into further education to take their A-Levels, GNVQ's, BTEC's or other such qualifications. UK students planning to go to college or university must complete further education.Higher EducationProbably the most important subject area on this site, this explains more about the higher education system in the UK and how it works for international students. Most international students will enter directly into the UK higher education system, after completing their home country’s equivalent to the UK’s “further education.”14Entry RequirementsEach level of education in the UK has varying requirements which must be satisfiedin order to gain entry at that level - learn more about the education entry requirements for the UK.Please note that Scotland has a separate education system and does not conform to the above structure. Please learn more about the Scottish Education System.Source: 13 September 2007/study_uk/education_system/Searched on March 16, 2009。
美国儿童分级阅读绘本2级青蛙和蟾蜍系列 The Story
2-The StoryOne day in summer, Frog was not feeling well.Toad said, “Frog, you are looking green.”“But I always look green,”“Today you look very green even for a frog,” said Toad.“Get into my bed and rest.”Toad made Frog a cup of hot tea. Frog drank the tea, and then he said,“Tell me a story while I am resting.”“All right,” said Toad.“Let me think of a story to tell you.”Toad thought and thought.But he could not think of a story to tell Frog.“I will go out on the front porch and walk up and down,” said Toad. “Perhaps that will help me to think of a story.”Toad walked up and down on the porch for a long time.But he could not think of a story to tell Frog.Then Toad went into the house and stood on his head.“Why are you standing on your head?” asked Frog.“I hope that if I stand on my head, it will help me to think of a story,” said Toad.Toad stood on his head for a long time.But he could not think of a story to tell Frog.Then Toad poured a glass of water over his head.“Why are you pouring water over your head?” asked Frog.“I hope that if I pour water over my head, it will help me to think of a story,” said Toad.Toad poured many glasses of water over his head.But he could not think of a story to tell Frog.Then Toad began to bang his head against the wall.“Why are you banging your head against the wall?” asked Frog.“I hope that if I bang my head against the wall hard enough, it will help me to think of a story,”said Toad.“I am feeling much better now, Toad,”said Frog. “I do not think I need a story anymore.”“Then you get out of bed and let me get into it,” said Toad, “Because now I feel terrible.”Frog said, “Would you like me to tell you a story, Toad?”“Yes,” said Toad, “if you know one.”“Once upon a time,” said Frog, “There were two good friends, a Frog and a Toad.The frog was not feeling well. He asked his friend the Toad to tell him a story.The Toad could not think of a story. He walked up and down on the porch, but he could not think of a story.He stood on his head, but he could not think of a story.He poured water over his head, buthe could not think of a story.He banged his head against the wall, but he still could not think of a story. Then the toad did not feel so well, and the frog was feeling better.So the toad went to bed and told him a story.The end. How was that, Toad?” said Frog.But Toad did not answer.He had fallen asleep.。
二年级学生英语阅读短篇【六篇】
二年级学生英语阅读短篇【六篇】【篇一】It's cool behind youIt's two o'clock inthe afternoon.The sun is shinning and it's very hot. Nancy has to meet her mother at the train station.Now she's walking in the street. There are no trees and she's fat. So she feels very hot. But she doesn't find a boy walking just behind her. And she meets a friend and says "hello" to him. "Who's the boy behind you?" asks the man . Now she sees the boy. She is angry and asks, "Why are you walking behind me, boy?" "There'snoshadeinthestreet, you know." answers the boy. "It's cool behind you, I think."【篇二】Father's HobbyMy dad works from Monday to Friday in a bank. he uses the computer to count money. His job is very important in the bank.Dad is also busy at home. At weekends he cooks dinner. Usually he cooks Italian food. On Sundays he makesfive pieces of pizza. Sometimes he cooks chicken and makes Chinese food. My mum watches and helps him. I help my dad, too. I wash the dishes.Many people think it is strange for a man to cook. But my dad enjoys his hobby. Cooking relaxes him. He is a weekend cook.【篇三】I don't think soJack is a good boy but he doesn't like to use his head.He often says something withou thinking.It makes others unhappy.Mr. Black teaches math in a school. He's old now and he likes children.On the Friday Mr. Black doesn't go to work, because he's ill in a hospital. And Jack's mother will seehim after dinner. "I want to be there with you." says Jack. "You're a rude boy. I can't take you there.'' says his mother. "Don't worry, mum. I won't do that again. Please believe me. " says Jack. In the hospital, Jack says nothing at first. When they're leaving , he says to Mr. Black, "You look fine. The doctor says you're going to die, but I don't think so. "【篇四】Seven days in a weekThere are about fifty-two weeks in a year. And there are seven days in each week. The first day of a week is Sunday. The other days of a week between Sunday and Saturday are Monday, Tuesday, Wednesday Thursday and Friday. Monday is the second day, Tuesday is the third day, Wednesday is the fourthday, Thursday is the fifth day, and Friday is the sixth day. What's the last day? Do you know?【篇五】My special FriendI have a friend in the U.S. His name is Don Adams. I know him very well, but I have never met him. We write to each other all he time. My letters are very short. It is still hard for me to write in English. I received a letter from Don yesterday. It makes me very happy. He is coming to my country for a visit next summer. We are going to see each other for the first time.【篇六】A Day in My LifeMy family lives on this street. In the morning, my father goes to work and all the children go to school. My mother takes us to school everyday. She does the housework. She always has her lunch at home, and sees her friends in the afternoon. In the evening all the children come home from school. They always get home early. My father goes home from work and he is often late. After supper my two brothers and I do our homework. We go to bed at ten.。
小学二年级英语阅读两篇
小学二年级英语阅读两篇导读:本文小学二年级英语阅读两篇,仅供参考,如果觉得很不错,欢迎点评和分享。
1、The Eagle and the Farmer 老鹰与农夫One beautiful summer morning, a farmer went to check his animal traps. In one tap, he found a beautiful eagle. At first, he thought that he would hill the eagle and eat it.But then he thought to himself, “This is a beautiful and special bird. It often catches rabbits and mice that eat my crops. I’ll let it go.”He opened the trap, and the eagle spread its wings and flew up into the blue shy.The eagle was very grateful to be free again. It continued to live on the farmer’s land and catch mice and rabbits.Later that summer, the farmer was building a wall. It was high and made of large stones. Suddenly, the wall started to fall, but the farmer did not notice.The eagle, flying above, saw that the farmer was in danger. It flew down and grabbed the farmer’s hat off his head. The farmer shouted, Hey! Bring that back!”The eagle flew a short distance and then dropped the hat.The angry farmer picked up his hat and walked back. He saw that the stone wall had fallen. The farmer smiled and thought, “The eagle repaid me when I most needed help.”2、The Donkey and the Shopkeeper 驴子与店主A hardworking shopkeeper drove his donkey to the market to buy salt. On their way home, they had to cross a stream. The donkey was very tired, and he slipped on a rock and fell into the water.To the donkey’s surprise, his load was now much lighter. The water had washed away almost all of the salt. The shopkeeper took the donkey back to the market and bought even more salt than before. This time when they reached the stream, the donkey fell into the water on purpose.The shopkeeper saw through the donkey’s trick. He returned to the market and bought sponges instead of salt.When they reached the stream, the donkey used his trick again and fell into the water. But this time the trick was on him. The sponges became heavy with water and the weight of his load greatly increased.“I hope you’ve learned your lesson,” the shopkeeper said to the donkey. “If you use a trick to avoid work, you will just end up with more work in the end.”。
美国加州小学教材语文 treasures G2
美国加州小学语文教材California Treasures Grade 1教材介绍:美国小学语文系列教材,是美国小学生所使用的同步教材。
教材很具引导性,每个年级的教材均有六个单元。
教材结构以主题(问题)引入,词汇学习,阅读理解,扩展实践和写作练习为主线,引导学员逐步学会运用新学的单词和句型。
一年级教材内容简单,阅读是以图文结合的故事方式展现,每个句子都很简短易懂。
一年级教材共六个单元,每单元有五个主题。
本级教材内容主要包括:【All about us关于我们】:1.认识我自己,你很特别;2.我和朋友的关系;3.我的成长过程;4.我和小动物;5.团体合作【Outside my Door我的周围】:1.动物的家,引入家庭的概念;2.帮助他人,劳动的收获;3.观察自然,动物们在哪里住?4.和朋友们一起的快乐时光;5.让你开怀一笑的有趣故事,用上你的想象力【Let’s Connect联合拓展】:1.成为朋友;2.世界各地的小朋友都在玩什么?孩子也可以做的事情;3.自然观察:我和我的影子;4.我的家庭;5.和家人一起的时刻【Nature Watch自然观察】:1.鸟2.垃圾的回收利用;3.关于天气;4.科学家都做些什么;5.我最喜欢的故事,寓言故事【Adventures All Around生活探险】:1.表达自己,关于艺术作品;2.游戏中的科学知识;3.小小发明家;4.我可以做到:我的学习过程;5.植物的成长过程【Let’s Discover发现探索】:1.昆虫的世界;2.太空探索;3.动物观察:动物是如何长大的;4.不同种类的工作,建立平等的工作观;5. 不同类型的建筑从认识自己,到周围的家人,朋友,身边的世界,自然;从对个体的尊重,到对群体的探索,加州小学教材从一年级的编排中就很全面地向孩子们展现了这个世界。
激发孩子对自我和周围关系,环境的积极参与和探索,引导建立正确、健康的价值观。
学完整套教材可以为您的孩子参加SSAT 或者SAT 打下很好的基础。
二年级英语课外阅读书目表
二年级英语课外阅读书目表文件编码(008-TTIG-UTITD-GKBTT-PUUTI-WYTUI-8256)二年级英语课外阅读书目推荐表一、攀登英语系列:有趣的字母(26本)1. Frank the Rat 大老鼠弗兰克2. The Biscuits 我们来做饼干3. Cool Cat 酷猫卡里4. Dancing Dad 爸爸爱跳舞5. Red Ben 小本的红色世界6. The Frog’s Love Story 青蛙的爱情故事7. Wow! A Goat! 哇!一只山羊!8. Hungry Hat 饥饿的帽子先生9. A Big, Big Day 盛大的日子10. Jack and Jim 小杰克,大吉姆11. The King Is… 国王打喷嚏12. Look! Look! Look! 看!看!看!13. If You Give a Mouse a Mooncake 如果你给老鼠吃月饼14. Mr. No-Nose 没鼻子先生15. What’s Going On 叠罗汉16. The Pig’s Backpack 小猪的背包17. A Quiet Duck 安静的鸭子18. Rabbits Run, Run, Run 兔子快跑19. Sam Wants to Be Strong 小蛇山姆20. Tick Tock 闹钟滴答响21. It’s Fun to Jump 开心跳跳跳22. Vicky Visits a Village 薇琪要去小村庄23. I Am a Witch 小巫女24. The Fox and the Ox 狐狸和牛25. Maya’s Yo-yo 玛雅的悠悠球26. Zack the Zebra斑马扎克神奇的字母组合(26本)1. Wait! Wait! Wait! 蜗牛要去西班牙2. Make a Call 让我们说说话3. Party Shark 鲨鱼先生4. The Ostrich 鸵鸟的午餐5. Tick-Tock Goes the Clock 莫克奶奶和闹钟6. Dragon and Drum 鼓上有条龙7. A Pea in the Sea 孔雀的豌豆8. Sound in Lear’s Ear 奇怪的声音9. The Green Family Goes Out 格林一家去郊游10. The Tiger and the Rooster 老虎和公鸡11. Run after a Bird 哦,我的小鸟!12. A Long, Long Song 好长好长的歌13. Coats on Sale 山羊先生买大衣14. No Book, Just Cook 胡克先生想当大厨15. Hello, Moon! 月亮,你好!16. Horton’s Horns 霍尔顿的角17. A Round House 圆圆的房子18. Yellow Pillow 乌鸦和黄枕头19. A Photo of an Elephant Family 大象的全家福20. Three Fish 小鱼游啊游21. A Special Spider 特别的蜘蛛22. Two Thieves 两个盗贼23. Flowers for Mother 送给妈妈的花24. Travel by Tree 树上有个小人国25. Purple Purse 紫色小钱包26. Whistle for Whale 沃利和鲸鱼二、哈考特儿童英语分级读物分级读物入门级(全21册)My CarDad and IAt My HouseThe Red BalloonsWhere is the Cat?I Push, I PullMy HomeWhat Do You See?Time to GoYes, We Can!Helping Each OtherHere It Is!Fun Days!This Is My FamilyThe PuppetMy New SchoolIn the WoodsIsabel's DayCasey's LambChicoI Have Five Senses三、汪培珽系列汪培珽第1阶段All aborad reading 01-PIG OUT02-TOO NOISY03-PICKY NICKY04-SILLY WILLY05-OTTO THE CAT06-LOTS OF HEARTS07-THE BIG SNOWBALL08-Is That You Santa09-BENNY'S BIG BUbBLE10-DON'T WAKE THE BABY!11-In a Dark, Dark House12-THE LITTLE ENGINE THAT COULD HELPS OUTi can read 汪培珽第一阶段12本书单英文原版儿童推荐绘本1:sammy the seal 冒险、追求理想2:danny and the dinosaur go to camp团体生活、幽默3:Danny and the Dinosaur 冒险、友情4:chester 追求理想不气馁5:captin cat 友情、幽默6:stanley7: whowillbemyfirends 交朋友Birthday, Danny and the Dinosaur's the best12:OLIVER 追求下面是汪培珽推荐所有英文私房书单,供大家参考:书标头An I can read book (level 1),此系列有level 1、2、3,每个level 有40本以上不同主题的书,尤其level 3,每本都值得阅读,此书单只列出我有收藏的。
小学新标准英语二年级阅读训练及教案(阅读二)
小学新标准英语二年级阅读训练及教案(阅读二)第一篇:小学新标准英语二年级阅读训练及教案(阅读二)小学新标准英语二年级阅读训练及教案阅读二大连明星小学马强(一)阅读原文及试题It's a nice day today.The sun is shining and the birds are singing.I get up very early in the morning.Because(因为)my friends and I are going to climb the mountains(爬山)today.First, we go to the supermarket(超市)to get some food, such as bread, water and so on.We are very happy today.判断正误正确写T 错误写F()1.Today is sunny,()2.I get up very late.()3.At first, we go to school to get some books.()4.We are very happy.()5.The birds are dancing.(二)教学略案重点:New words: shine照耀,early早,because因为,supermarket超市,food食物New phrases: climb mountains爬山,…and so on…等等;诸如此类The sun is shining.=It’s sunny.阳光明媚的难点: a.reading and understandingb.exercises and retelling Teaching Steps: Step 1: Greeting.Ask and answer:a.What’s the weather like? It’s…b.What’s the bird doing?c.Do you get up early or late? Why?d.Where are you going?e.Who will go with you?f.Where are going first?g.What are you going to buy?h.Are you happy, tired, or boring? Step 2: Show new words one by one students learn and read.(use the big screen)shine照耀,early早,because因为,supermarket超市,food 食物Make sentences.climb mountains爬山,…and so on…等等;诸如此类Step 3: Review the words and sentences in some games.Step 4: Students read the text, sentence by sentence.They can read by themselves.(first,read after the teacher)Step 5: Do some exercises括号里标上T或FStep 6: Homework: Feedback:第二篇:小学新标准英语二年级阅读训练及教案(阅读三)小学新标准英语二年级阅读训练及教案阅读三大连明星小学马强(一)阅读原文及试题 My English FriendI have an English friend.His name is Jim.He is ten.He is from England.he has a cousin(堂兄),his name is Qianyu.He is only four years old, but he has a lot of questions.Now look, he is having a Chinese dinner.()1.I have a Chinese friend.()2.My friend is ten years old.()3.Qianyu is five years old.()4.Qianyu is reading a newspaper.(二)教学略案重点:New words: from来自,cousin堂兄,question问题New phrases:be from…来自(国家,城市),a lot of很多难点: a.reading and understandingb.exercises and retelling Teaching Steps: Step 1: Greeting.Ask and answer:a.Where is your friend from?b.Is it a boy or a girl?c.What’s his name?.d.Does he have a cousin or a brother?e.How old is hiscousin? f.What does his cousin often do? g.What’s his cousin doing now? Step 2: Show new words one by one students learn and read by the following ways.(use the big screen)from来自,cousin堂兄,question问题Make sentences:be from…来自(国家,城市),a lot of很多Step 3: Review the words and sentences in some games.Step 4: Students read the text, sentence by sentence.They can read by themselves.(first,read after the teacher)Step 5: Do some exercises.在括号里标上T或FStep 6: Homework: Feedback:第三篇:小学新标准英语二年级阅读训练及教案(阅读一)小学新标准英语二年级阅读训练及教案阅读一大连明星小学马强(一)阅读原文及试题Hello!My name is Sun Wei.Here is an American boy.His name is David Smith.He is twelve.And I am twelve, too.David is in Class Three, Grade One.I am in Class Three, Grade One, too.He is tall, I am thin.()1.David___an American boy.A.is B.am C.are()2.He is___.A.ten B.eleven C.twelve()3.Sun Wei is___ Class Three, Grade One.A.in B.on C.of()4.David is ___.A.tall B.fat C.thin()5.Sun Wei is ___.A.tall B.fat C.thin(二)教学略案重点:New words: American美国的 grade年级 New phrases:Class Three, Grade One一年三班in Class Three, Grade One在一年三班难点: a.reading and understandingb.exercises and retelling Teaching Steps: Step 1: Greeting.Ask and answer:a.What’s your name?I’m… b.Are you a boy/girl? c.How old are you?I’m...d.How many people are there in your family? e.Who are they? f.What’s your …like? g.Wh at can he/she do? Step 2: Show new words one by one students learn and read by the following ways.(use the big screen)American美国的 grade年级Make sentences.Class Three, Grade One一年三班 in Class Three, Grade One在一年三班Step 3: Review the words and sentences in some games.Step 4: Students read the text, sentence by sentence.They can read by themselves.(first,read after the teacher)Step 5: Do some exercises选择填空Step 6: Homework: 熟读短文 Feedback:第四篇:小学新标准英语二年级教案1(精选)《英语》(新标准)(一年级起始用)第四册Module 2 She is listening to the radio.大庆市东湖第一小学白玲玲新标准英语(一年级起点)第四册Module 2 Unit 1一、教学内容:She is listening to the radio.He is reading a newspaper She is writing a letter.He is playing with his train.二、教学目标:1、知识目标:掌握以下重点词句:new , camera , radio,newspaper, letter She is listening to the radio.He is reading a newspaper.She is writing a letter.He is playing with his train.2、能力目标:能够用英语描述一个人现在正在做什么事情。
(部编版)二年级英语课外阅读材料
(部编版)二年级英语课外阅读材料
本文档旨在为二年级学生提供适合课外阅读的英语材料。
以下
是一些适合阅读的短文和故事。
1. Title 1
内容简介:这个故事讲述了一个小男孩在一个晴朗的早晨出门
去学校的经历。
他遇到了一只流浪猫,帮助它找到了回家的路。
通
过这个故事,孩子们可以研究到如何关心和帮助动物。
2. Title 2
内容简介:这个短文告诉读者关于小熊的故事。
小熊害怕黑暗,但是通过和爸爸的交流,他学会了勇敢地面对自己的恐惧。
通过这
个故事,孩子们可以研究到积极面对困难,勇敢面对自己内心的恐惧。
3. Title 3
内容简介:这个故事讲述了一个小女孩和她的朋友们一起去探索森林的冒险。
在冒险过程中,他们遇到了一只受伤的小鸟,并帮助它返回了家。
通过这个故事,孩子们可以研究到友善和乐于助人的重要性。
以上是一些适合二年级学生阅读的英语材料。
它们的主题简单而实用,旨在培养孩子们的英语阅读能力和人文关怀。
希望孩子们在阅读中能够获得乐趣和启发。
二年级英语阅读理解1-2
1.Poor Man! New words and expressions:1.why为什么2.because因为3.drop落下4.poor可怜的Look at this man. What is he doing? He’s carrying a very big box. The box is full of big apples. He wants to put it on the back of his bike and take it home. Can he do that? No, I don’t think so. Why not? Because the box is too full and too heavy. Look! What’s wrong? He drops the box. Poor man!I. Read carefully and write “T〞for True and “F〞for False beside the statements.仔细阅读,在以下句子前标上T〔对〕或F〔不对〕。
( ) 1. The box is not very big.( ) 2. The box is full of apples.( ) 3. He puts the apples in the bag.( ) 4. He can carry the box home.II. Choose the best answer to these questions.选出最正确答案。
( ) 1. What is the man doing? He is .A. eating some applesB. carrying a boxC. riding a bikeD. making a box( ) 2. What’s in the box?A. Some books.B. Some bikes.C. Some apples.D. Some boxes.( ) 3. Can he carry the box?A. Yes, he can.B. Yes, he is.C. No, he can’t.D. No, he isn’t. ( ) 4. Is the box full or empty?A. Yes, it is.B. No, it isn’t.C. It’s empty.D. It’s full.2.KateNew words and expressions:1.parents父母双亲2.work工作3. study学习4. a little一点儿Kate is a new student. She is twelve. She is from America. She can speak English very well and she can speak a little Chinese. She is in Nanjing. Her parents are doctors. Kate is studying in a school near her home. She has classes from Monday to Friday. On Saturdays and Sundays, she often plays games with her Chinese friends. She loves China and her Chinese friends.I. Read carefully and write “T〞for True and “F〞for False beside the statements.仔细阅读,在以下句子前标上T〔对〕或F〔不对〕。
英语小学二年级阅读短文(2021年整理)
(一)(完整word版)英语小学二年级阅读短文(二)(三)(四)编辑整理:(五)(六)(七)(八)(九)尊敬的读者朋友们:(十)这里是精品文档编辑中心,本文档内容是由我和我的同事精心编辑整理后发布的,发布之前我们对文中内容进行仔细校对,但是难免会有疏漏的地方,但是任然希望((完整word 版)英语小学二年级阅读短文)的内容能够给您的工作和学习带来便利。
同时也真诚的希望收到您的建议和反馈,这将是我们进步的源泉,前进的动力。
(十一)本文可编辑可修改,如果觉得对您有帮助请收藏以便随时查阅,最后祝您生活愉快业绩进步,以下为(完整word版)英语小学二年级阅读短文的全部内容。
(十二)(十三)阅读短文,判断对错,正确(T),错误(F)Boys and girls, welcome to my new classroom. It's very big。
The door is green. And there are three windows in my classroom. Theyare yellow。
There is a picture on the wall。
There are fifty—five desks in my classroom。
And there is a big teacher's desk here. Look! A TV is on the wall. We can watch TV after class。
( ) 1.My classroom is big.() 2。
The door is yellow.( ) 3。
The windows are green。
() 4。
There are forty—five desks in my classroom。
( ) 5.We have a picture in our classroom.(二)选择Hello, boys and girls。
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江西省南昌市2015-2016学年度第一学期期末试卷(江西师大附中使用)高三理科数学分析一、整体解读试卷紧扣教材和考试说明,从考生熟悉的基础知识入手,多角度、多层次地考查了学生的数学理性思维能力及对数学本质的理解能力,立足基础,先易后难,难易适中,强调应用,不偏不怪,达到了“考基础、考能力、考素质”的目标。
试卷所涉及的知识内容都在考试大纲的范围内,几乎覆盖了高中所学知识的全部重要内容,体现了“重点知识重点考查”的原则。
1.回归教材,注重基础试卷遵循了考查基础知识为主体的原则,尤其是考试说明中的大部分知识点均有涉及,其中应用题与抗战胜利70周年为背景,把爱国主义教育渗透到试题当中,使学生感受到了数学的育才价值,所有这些题目的设计都回归教材和中学教学实际,操作性强。
2.适当设置题目难度与区分度选择题第12题和填空题第16题以及解答题的第21题,都是综合性问题,难度较大,学生不仅要有较强的分析问题和解决问题的能力,以及扎实深厚的数学基本功,而且还要掌握必须的数学思想与方法,否则在有限的时间内,很难完成。
3.布局合理,考查全面,着重数学方法和数学思想的考察在选择题,填空题,解答题和三选一问题中,试卷均对高中数学中的重点内容进行了反复考查。
包括函数,三角函数,数列、立体几何、概率统计、解析几何、导数等几大版块问题。
这些问题都是以知识为载体,立意于能力,让数学思想方法和数学思维方式贯穿于整个试题的解答过程之中。
二、亮点试题分析1.【试卷原题】11.已知,,A B C 是单位圆上互不相同的三点,且满足AB AC →→=,则AB AC →→⋅的最小值为( )A .14-B .12-C .34-D .1-【考查方向】本题主要考查了平面向量的线性运算及向量的数量积等知识,是向量与三角的典型综合题。
解法较多,属于较难题,得分率较低。
【易错点】1.不能正确用OA ,OB ,OC 表示其它向量。
2.找不出OB 与OA 的夹角和OB 与OC 的夹角的倍数关系。
【解题思路】1.把向量用OA ,OB ,OC 表示出来。
2.把求最值问题转化为三角函数的最值求解。
【解析】设单位圆的圆心为O ,由AB AC →→=得,22()()OB OA OC OA -=-,因为1OA OB OC ===,所以有,OB OA OC OA ⋅=⋅则()()AB AC OB OA OC OA ⋅=-⋅-2OB OC OB OA OA OC OA =⋅-⋅-⋅+ 21OB OC OB OA =⋅-⋅+设OB 与OA 的夹角为α,则OB 与OC 的夹角为2α所以,cos 22cos 1AB AC αα⋅=-+2112(cos )22α=--即,AB AC ⋅的最小值为12-,故选B 。
【举一反三】【相似较难试题】【2015高考天津,理14】在等腰梯形ABCD 中,已知//,2,1,60AB DC AB BC ABC ==∠= ,动点E 和F 分别在线段BC 和DC 上,且,1,,9BE BC DF DC λλ==则AE AF ⋅的最小值为 .【试题分析】本题主要考查向量的几何运算、向量的数量积与基本不等式.运用向量的几何运算求,AE AF ,体现了数形结合的基本思想,再运用向量数量积的定义计算AE AF ⋅,体现了数学定义的运用,再利用基本不等式求最小值,体现了数学知识的综合应用能力.是思维能力与计算能力的综合体现. 【答案】2918【解析】因为1,9DF DC λ=12DC AB =,119199918CF DF DC DC DC DC AB λλλλλ--=-=-==, AE AB BE AB BC λ=+=+,19191818AF AB BC CF AB BC AB AB BC λλλλ-+=++=++=+,()221919191181818AE AF AB BC AB BC AB BC AB BCλλλλλλλλλ+++⎛⎫⎛⎫⋅=+⋅+=+++⋅⋅ ⎪ ⎪⎝⎭⎝⎭19199421cos1201818λλλλ++=⨯++⨯⨯⨯︒2117172992181818λλ=++≥+= 当且仅当2192λλ=即23λ=时AE AF ⋅的最小值为2918. 2.【试卷原题】20. (本小题满分12分)已知抛物线C 的焦点()1,0F ,其准线与x 轴的交点为K ,过点K 的直线l 与C 交于,A B 两点,点A 关于x 轴的对称点为D . (Ⅰ)证明:点F 在直线BD 上; (Ⅱ)设89FA FB →→⋅=,求BDK ∆内切圆M 的方程. 【考查方向】本题主要考查抛物线的标准方程和性质,直线与抛物线的位置关系,圆的标准方程,韦达定理,点到直线距离公式等知识,考查了解析几何设而不求和化归与转化的数学思想方法,是直线与圆锥曲线的综合问题,属于较难题。
【易错点】1.设直线l 的方程为(1)y m x =+,致使解法不严密。
2.不能正确运用韦达定理,设而不求,使得运算繁琐,最后得不到正确答案。
【解题思路】1.设出点的坐标,列出方程。
2.利用韦达定理,设而不求,简化运算过程。
3.根据圆的性质,巧用点到直线的距离公式求解。
【解析】(Ⅰ)由题可知()1,0K -,抛物线的方程为24y x =则可设直线l 的方程为1x my =-,()()()112211,,,,,A x y B x y D x y -,故214x my y x =-⎧⎨=⎩整理得2440y my -+=,故121244y y m y y +=⎧⎨=⎩则直线BD 的方程为()212221y y y y x x x x +-=--即2222144y y y x y y ⎛⎫-=- ⎪-⎝⎭令0y =,得1214y yx ==,所以()1,0F 在直线BD 上.(Ⅱ)由(Ⅰ)可知121244y y m y y +=⎧⎨=⎩,所以()()212121142x x my my m +=-+-=-,()()1211111x x my my =--= 又()111,FA x y →=-,()221,FB x y →=-故()()()21212121211584FA FB x x y y x x x x m →→⋅=--+=-++=-,则28484,93m m -=∴=±,故直线l 的方程为3430x y ++=或3430x y -+=213y y -===±,故直线BD 的方程330x -=或330x -=,又KF 为BKD ∠的平分线,故可设圆心()(),011M t t -<<,(),0M t 到直线l 及BD 的距离分别为3131,54t t +--------------10分 由313154t t +-=得19t =或9t =(舍去).故圆M 的半径为31253t r +== 所以圆M 的方程为221499x y ⎛⎫-+= ⎪⎝⎭【举一反三】【相似较难试题】【2014高考全国,22】 已知抛物线C :y 2=2px(p>0)的焦点为F ,直线y =4与y 轴的交点为P ,与C 的交点为Q ,且|QF|=54|PQ|.(1)求C 的方程;(2)过F 的直线l 与C 相交于A ,B 两点,若AB 的垂直平分线l′与C 相交于M ,N 两点,且A ,M ,B ,N 四点在同一圆上,求l 的方程.【试题分析】本题主要考查求抛物线的标准方程,直线和圆锥曲线的位置关系的应用,韦达定理,弦长公式的应用,解法及所涉及的知识和上题基本相同. 【答案】(1)y 2=4x. (2)x -y -1=0或x +y -1=0. 【解析】(1)设Q(x 0,4),代入y 2=2px ,得x 0=8p,所以|PQ|=8p ,|QF|=p 2+x 0=p 2+8p.由题设得p 2+8p =54×8p ,解得p =-2(舍去)或p =2,所以C 的方程为y 2=4x.(2)依题意知l 与坐标轴不垂直,故可设l 的方程为x =my +1(m≠0). 代入y 2=4x ,得y 2-4my -4=0. 设A(x 1,y 1),B(x 2,y 2), 则y 1+y 2=4m ,y 1y 2=-4.故线段的AB 的中点为D(2m 2+1,2m), |AB|=m 2+1|y 1-y 2|=4(m 2+1).又直线l ′的斜率为-m ,所以l ′的方程为x =-1m y +2m 2+3.将上式代入y 2=4x ,并整理得y 2+4m y -4(2m 2+3)=0.设M(x 3,y 3),N(x 4,y 4),则y 3+y 4=-4m,y 3y 4=-4(2m 2+3).故线段MN 的中点为E ⎝ ⎛⎭⎪⎫2m2+2m 2+3,-2m ,|MN|=1+1m 2|y 3-y 4|=4(m 2+1)2m 2+1m 2.由于线段MN 垂直平分线段AB ,故A ,M ,B ,N 四点在同一圆上等价于|AE|=|BE|=12|MN|,从而14|AB|2+|DE|2=14|MN|2,即 4(m 2+1)2+⎝ ⎛⎭⎪⎫2m +2m 2+⎝ ⎛⎭⎪⎫2m 2+22=4(m 2+1)2(2m 2+1)m 4,化简得m 2-1=0,解得m =1或m =-1, 故所求直线l 的方程为x -y -1=0或x +y -1=0.三、考卷比较本试卷新课标全国卷Ⅰ相比较,基本相似,具体表现在以下方面: 1. 对学生的考查要求上完全一致。
即在考查基础知识的同时,注重考查能力的原则,确立以能力立意命题的指导思想,将知识、能力和素质融为一体,全面检测考生的数学素养,既考查了考生对中学数学的基础知识、基本技能的掌握程度,又考查了对数学思想方法和数学本质的理解水平,符合考试大纲所提倡的“高考应有较高的信度、效度、必要的区分度和适当的难度”的原则. 2. 试题结构形式大体相同,即选择题12个,每题5分,填空题4 个,每题5分,解答题8个(必做题5个),其中第22,23,24题是三选一题。
题型分值完全一样。
选择题、填空题考查了复数、三角函数、简易逻辑、概率、解析几何、向量、框图、二项式定理、线性规划等知识点,大部分属于常规题型,是学生在平时训练中常见的类型.解答题中仍涵盖了数列,三角函数,立体何,解析几何,导数等重点内容。
3. 在考查范围上略有不同,如本试卷第3题,是一个积分题,尽管简单,但全国卷已经不考查了。
四、本考试卷考点分析表(考点/知识点,难易程度、分值、解题方式、易错点、是否区分度题)。