Unit 2 Numbers【B卷·培优卷】-2024-2025学年八年级英语上册单元速记·巧练（广州专用，沪教牛津版）

班级 姓名 学号 分数 Unit 2 Numbers（B卷·培优卷） （时间：100分钟，满分：90分） 第1部分 选择题部分 一、语法选择(本大题共15小题；每小题1分，满分15分) 阅读下面短文，按照句子结构的语法性和上下文连贯的要求，从1～15各题所给的A、B、C和D项中选出最佳选项。 China is a nation of etiquette (礼仪). Chinese people are among the most hospitable people in the world. If foreigners visit Chinese families, they would be 1 at the warmth that they would receive as guests. When you visit a Chinese family, the host 2 often make tea for you. Then he will serve you some snacks like biscuits or candies. Someone in 3 family will also have a talk with you. They will never make you feel lonely. At the same time, 4 family members will prepare a big meal for you. It is a tradition for 5 guests. They always prepare more food than the guest could eat. On the table, the Chinese host will keep 6 food for guests. Perhaps this surprises a western guest most 7 it won’t happen at western tables. 8 you finish eating, the host usually says, “It seems that you 9 much food. Please have more.” Although you have told them you are full, they still want you 10 more. They just try 11 best to make you feel 12 home. Chinese 13 the etiquette for a long history. As Confucius said 14 years ago, “ 15 joy it is to have friends coming from afar! 1．A．surprise B．surprising C．surprised D．surprisingly 2．A．must B．will C．should D．can 3．A．a B．an C．the D．/ 4．A．other B．another C．the other D．the others 5．A．treat B．treats C．treating D．to treat 6．A．pick B．picked C．picking D．to pick 7．A．and B．but C．or D．because 8．A．Since B．As C．If D．Although 9．A．don’t have B．didn’t have C．haven’t had D．won’t have 10．A．eat B．eats C．eating D．to eat 11．A．they B．them C．their D．theirs 12．A．at B．on C．in D．near 13．A．keep B．kept C．have kept D．will keep 14．A．thousand B．thousands C．thousand of D．thousands of 15．A．How B．What an C．What D．What a 二、完形填空 (本大题共10小题；每小题1分，满分10分) In Chinese culture, people believe that lucky numbers can bring them good luck. So, it is important for Chinese people to 16 a good number for important things. For example, they choose lucky numbers for wedding dates and dates of moving into a new house. The numbers 6, 8 and 9 are the 17 lucky numbers of most Chinese people. Combinations (字码组合) of the above are thought as lucky numbers too, such as 66, 88, 168. Of all the individual (单独的) numbers, 8 is 18 the luckiest number in China. “8” is associated with (与…相联系) wealth. “8” in Chinese is 19 ba and sounds similar to fa. The traditional Chinese word fa cai means “wealthy” or “becoming 20 in a short time”. There are many phrases or expressions associated with “8”, such as “Bamian laicai”, meaning “ 21 comes from eight sides” and “Bamian chunfeng”, meaning “spring wind comes from eight directions”, expressing the wish that someone gets luck wherever she/he goes, or whatever she/he is   22 . Chinese people like to choose “8” as the time or date of important events. For example, the opening 23 of the 2008 Beijing Olympic Games started exactly at 8 minutes and 8 seconds past 8 pm on the 8th of August 2008. Chinese’s 24 for 8 can be seen in many other cases (事例), such as house numbers, phone numbers, number plates, wedding dates and the date for opening a business. 8 is considered lucky and favored by Chinese 25 it holds meaning in both traditional and modern cultures. 16．A．choose B．read C．count D．write 17．A．common B．similar C．favorite D．special 18．A．probably B．hardly C．nearly D．surely 19．A．written B．pronounced C．spelt D．drawn 20．A．rich B．happy C．good D．dear 21．A．luckiness B．knowledge C．wealth D．health 22．A．giving up B．working on C．hurrying up D．coming on 23．A．vacation B．tradition C．competition D．ceremony 24．A．thanks B．luck C．excuses D．love 25．A．although B．because C．until D．unless 3、 阅读理解(本大题共15小题；每小题2分，满分30分) A On March 14, math and science lovers around the world celebrated a special day: Pi Day. Pi is equal to about 3.14, but the number goes on endlessly It is sometimes written in Greek, π. With the help of computers, mathematicians have been able to calculate (计算) pi out to over a trillion (万亿) decimal (小数的) places, but there is still no end to the number. This makes pi puzzling, even for the most famous scientists and mathematicians. Pi Day is celebrated around the world on March 14, since how we write this date, 3/14, looks just like the number pi. For some people, the appeal (感染力) of Pi Day goes far beyond math and science. Pi shows up throughout popular culture. You can see it in movies, comics, music and more. “In modern movies, any time the filmmaker wants to produce a sense of mystery (神秘), often the symbol pi is used”, says David Blatner, Jewish American writer of The Joy of Pi. People also love trying to memorize the digits (数字) of pi and competing against others to see who can remember the most. Many teachers hold class contests to see how many numbers their students can memorize. The Guinness World Record for reciting the most digits of pi is held by Lü Chao of China, who successfully recited pi out to nearly 67,890 decimal places. Above all, Pi Day is about having fun with the number, People celebrate Pi Day by eating or throwing pie and with fun pi-related games and activities. This year, Princeton, New Jersey, held a birthday party for Albert Einstein whose birthday also falls on March 14. There was also a ‘Walk a Pi Event’ where people walked 3.14 miles together. Just like the number itself, the possibilities for Pi Day are truly endless. 26．The following about Pi Day is true EXCEPT ________. A．it’s on March 14 B．it’s a day just for scientists C．Pi is equal to about 3.14 D．Pi’s Greek form is π 27．What does the underlined word “puzzling” in Paragraph 2 mean? ________. A．attractive B．exciting C．not clear to the understanding D．of great help 28．In modern movies, the symbol pi is often used to ________. A．represent a long number B．represent the subject of math C．describe something boring D．describe something mysterious 29．What does the last paragraph talk about? ________. A．Fun activities on Pi Day B．Activities about pi in class C．Walk a Pi Event D．Albert Einstein’s birthday B Do you know who was described as “superhuman” by the great inventor and astronomer Galileo? It was Archimedes who solved the king’s problem of the golden crown while taking a bath. He was perhaps one of the most outstanding scientists in the world. He was a mathematician, physicist, engineer, weapon designer and inventor. He was wise in philosophy, active in mathematics and physics. He was also recognized as one of the finest engineers of his time. He was born on the island of Sicily in the city of Syracuse around the year 287 BC and died in 212 BC． Archimedes showed great love for mathematics. He made many discoveries. For example, he determined the exact value of pi. He invented and developed methods similar to calculus (微积分) and used them to find the area of a circle and an accurate estimation (估计值) of the value of pi. Today he is regarded as one of the greatest mathematicians in history. Archimedes used his mathematical skills and talents to create useful inventions. One of his most famous inventions is called the Archimedes’ Screw. It was a device that could lift water to higher levels. One of its first uses was to pump water out from a leaking ship. It is still used today in some places to move water from low places to high places. This invention influenced Leonardo da Vinci as he worked on developing the functioning flying machine. Can you imagine counting the sand in the universe? Archimedes once tried to calculate the number of sand grains in the universe. Obviously, it was impossible but it goes to show that he was too smart. His intellectual curiosity and achievements to mathematics, in general, would go on to encourage other mathematicians as well. Most of his achievements were by far ahead of his time. Archimedes was in deed a genius. 30．What’s the main idea of paragraph 2? A．A brief introduction to Archimedes. B．Archimedes’ discoveries in maths. C．The great inventions of Archimedes. D．Archimedes’ study on the universe. 31．What does the underlined word “it” refer to in paragraph 3? A．A leaking ship. B．Water from low places. C．The Archimedes’ Screw. D．The functioning flying machine. 32．Which of the following is NOT true according to the article? A．Archimedes was a man with many talents and died at the age of 75. B．Leonardo da Vinci and Archimedes developed the functioning flying machine. C．The Archimedes’ Screw helped lift water from lower places to higher places. D．Archimedes’ achievements will continue to encourage generations of mathematicians. 33．What might be the best title for the article? A．Archimedes and Inventions B．Archimedes and Mathematics C．The Achievements of Archimedes D．The Life Experience of Archimedes C Fibonacci was the nickname of an Italian mathematician, Leonardo of Pisa, who lived in the early 1200s. Fibonacci discovered his famous sequence—the Fibonacci number sequence (斐波那契数列). The sequence goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, and so on. The Fibonacci sequence is actually pretty simple. The first two numbers in the sequence are zero and one; if you add them together, their sum is 1, the third number in the sequence. The second and third numbers in the sequence are 1 and 1; you add these numbers together to get the fourth Fibonacci number: 2. The sum of the third and fourth numbers, 1 and 2, equal the fifth number: 3. Continue the pattern: 2+3=5; 3+5=8; 5+8=13; and so on until you reach 144+233=377. The sequence is also called the rabbit sequence because Fibonacci introduced his sequence to the public by describing a situation of counting rabbits. Imagine that there is a pair of newborn rabbits, one male and one female. At the end of the first month, they grow into adult rabbits. At the end of the second month, they give birth to a new pair of babies, so there are two pairs. The first pair produces another pair of babies again, and the second pair grows up. Therefore, at the end of the third month, there are three pairs, .... Fibonacci numbers appear often in maths. In fact, there is a magazine, the Fibonacci Quarterly, publishing the study on them. Fibonacci numbers are also used in computer programs. They appear in nature such as in the number of petals on a flower as well. A lily has three petals, a buttercup has five petals, and an aster has 21 petals — 3, 5, and 21 are all Fibonacci numbers. 34．What is the sixteenth number in the Fibonacci sequence? A．233. B．377. C．610. D．987. 35．How did Fibonacci introduce his sequence to the public? A．By telling stories. B．By listing numbers. C．By comparing facts. D．By giving examples. 36．What does the word “They” in the last paragraph refer to? A．Fibonacci magazines. B．Fibonacci numbers. C．Petals on a flower. D．Computer programs. 37．What is the best title of this article? A．How to Count Rabbits. B．Interesting Numbers in Nature. C．Magical Fibonacci Sequence. D．Fibonacci—a great mathematician. D Last month, there was a survey (调查) in Shanghai to find out how students learn English. 5000 students from 20 middle schools were interviewed. The pie chart shows the most popular 4 ways of learning English. 38．The survey is about ______. A．what students do in their free time B．how students learn English C．how many students practise English D．what are popular ways to learn English 39．According to the chart, ______ students learn English by joining English clubs. A．450 B．600 C．1150 D．2800 40．From the chart we can know that most students learn English by ______ . A．listening to English songs B．joining English clubs C．reading English newspapers D．watching English movies 四、阅读填空 (本大题共5小题；每小题1分，满分5分) 阅读下面短文，从短文后所给的五个选项中选出能填入短文空白处的最佳选项。使短文通顺、连贯，意思完整。 Nowadays, computers and the Internet are playing an important part in our life. 41 When you use the computers, you usually need to set passwords (密码). But not all the passwords are safe. How can you make your passwords safe? 42 First, use capital (大写) letters in your password. It will be difficult for others to get into your account (账户). It only takes a hacker (黑客) 13 minutes to work out a six-letter password made of small letters. 43 Second, use numbers and symbols in your password. 44 Sometimes such passwords are not easy to remember, but they are really safe. 45 If you do so, hackers will guess your passwords easily. You should change your passwords about every 90 days. In that way, hackers won’t guess your passwords. A．Here are some suggestions for you. B．It will be much safer than the simple number password. C．Some people even say that they can’t live without them. D．Third, never use personal information for your passwords. E．But the same password in capital letters takes a hacker 10 hours to work out. 五、语篇填词(本大题共5小题；每小题1分，满分5分) 阅读短文，根据上下文和所给的首字母写出所缺单词。注意使用正确的形式，每空限填一词。 A long time ago, there was a king in India. The king’s favorite game was chess. One day, a w 46 old man came to the palace and the king challenged him to a game. The king p 47 the old man, “You can have any prize if you win the game.” The old man said, “If I win the game, I’d like one grain of rice for the first square of the chessboard, four for the third, and then double the a 48 for each of the rest of the squares.” “Is that all?” asked the king. “Wouldn’t you like gold or silver i 49 ?” “No, just rice,” replied the old man. The king and the old man played the game for a long time. Finally the old man won. So the king ordered his men to collect a bag of rice. He put one grain on the first square, and so on. The king quickly r 50 the problem—even with all the rice in the country, he would still not have enough rice to put on all the squares! 六、完成句子 (本大题共5小题；每小题2分，满分10分) 51．很久以前，在那里住着一位智者。 , there lived a wise man. 52．昨天老师要求我们抄写这首诗五次。 The teacher to the poem for five times yesterday. 53．你先完成作业再出去是明智的。 you to finish your homework before you go outside. 54．我们学校有很多社团，例如象棋社团、篮球社团、表演社团等。 There lots of clubs in our school, such as Chess Club, Basketball Club, Performance Club, . 55．昨天他向我挑战，要和我进行一场羽毛球赛。 He a badminton match yesterday. 七、书面表达（15分） 当前，学生的学习生活多姿多彩，业余爱好也多种多样。下图是我们对某所中学300名学生业余爱好的调查结果。请根据下要求，用英语写一篇短文。 要求：1、必须包括：①调查结果；②你自己的爱好、选择的原因及带来的益处； 2、文中不得出现真实的校名和人名； 3、词数：80～100（文章开头已给出，不计入总词数） Many students have hobbies. Here is the result of the survey about what 300 students usually do in their free time.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 答案第10页，共10页 原创精品资源学科网独家享有版权，侵权必究！6 学科网（北京）股份有限公司 $$ 班级 姓名 学号 分数 Unit 2 Numbers（B卷·培优卷） （时间：100分钟，满分：90分） 第1部分 选择题部分 一、语法选择(本大题共15小题；每小题1分，满分15分) 阅读下面短文，按照句子结构的语法性和上下文连贯的要求，从1～15各题所给的A、B、C和D项中选出最佳选项。 China is a nation of etiquette (礼仪). Chinese people are among the most hospitable people in the world. If foreigners visit Chinese families, they would be 1 at the warmth that they would receive as guests. When you visit a Chinese family, the host 2 often make tea for you. Then he will serve you some snacks like biscuits or candies. Someone in 3 family will also have a talk with you. They will never make you feel lonely. At the same time, 4 family members will prepare a big meal for you. It is a tradition for 5 guests. They always prepare more food than the guest could eat. On the table, the Chinese host will keep 6 food for guests. Perhaps this surprises a western guest most 7 it won’t happen at western tables. 8 you finish eating, the host usually says, “It seems that you 9 much food. Please have more.” Although you have told them you are full, they still want you 10 more. They just try 11 best to make you feel 12 home. Chinese 13 the etiquette for a long history. As Confucius said 14 years ago, “ 15 joy it is to have friends coming from afar! 1．A．surprise B．surprising C．surprised D．surprisingly 2．A．must B．will C．should D．can 3．A．a B．an C．the D．/ 4．A．other B．another C．the other D．the others 5．A．treat B．treats C．treating D．to treat 6．A．pick B．picked C．picking D．to pick 7．A．and B．but C．or D．because 8．A．Since B．As C．If D．Although 9．A．don’t have B．didn’t have C．haven’t had D．won’t have 10．A．eat B．eats C．eating D．to eat 11．A．they B．them C．their D．theirs 12．A．at B．on C．in D．near 13．A．keep B．kept C．have kept D．will keep 14．A．thousand B．thousands C．thousand of D．thousands of 15．A．How B．What an C．What D．What a 【答案】 1．C 2．B 3．C 4．A 5．C 6．C 7．D 8．B 9．B 10．D 11．C 12．A 13．C 14．D 15．C 【导语】本文主要讲述了中国是一个礼仪之邦，对待客人热情、好客，一直是中国文化和传统的重要部分。 1．句意：如果外国人到中国家庭做客，他们会惊讶于受到的热情款待。 surprise惊讶；surprising令人惊讶的；surprised感到惊讶的；surprisingly令人惊讶地。固定短语be surprised at“对……惊讶”，故选C。 2．句意：当你拜访一个中国家庭时，主人通常会为你泡茶。 must必须；will将；should应该；can能。when引导的时间状语从句，遵循主将从现，主句用一般将来时：will do。故选B。 3．句意：家里的人也会和你谈话。 a用于辅音音素前；an用于元音音素前；the表示特指；/不填。根据“Someone in...family”可知是特指这个家庭，应用定冠词the，故选C。 4．句意：与此同时，其他家庭成员会为你准备一顿大餐。 other其他的，后加名词复数；another三者及以上的另一个；the other两者中的另一个；the others剩下的全部。根据“family members”可知是指其他家庭成员，应用other，故选A。 5．句意：这是招待客人的传统。 treat款待，动词原形；treats动词三单；treating动名词；to treat动词不定式。空前有介词for，动词用动名词形式，故选C。 6．句意：在餐桌上，中国主人会不断为客人夹菜。 pick捡，动词原形；picked动词过去式；picking动名词；to pick动词不定式。固定短语keep doing sth“一直做某事”，故选C。 7．句意：也许这最让西方客人感到惊讶，因为这不会发生在西方的餐桌上。 and和；but但是；or或者；because因为。分析语境可知，前后是因果关系，应用because引导原因状语从句，故选D。 8．句意：当你吃完饭时，主人通常会说：“你好像没吃多少东西。 Since自从；As当……时候；If如果；Although尽管。根据“you finish eating, the host usually says”可知前后是时间关系，应用as引导时间状语从句，故选B。 9．句意：当你吃完饭时，主人通常会说：“你好像没吃多少东西。 don’t have一般现在时的否定；didn’t have一般过去时的否定；haven’t had现在完成时的否定；won’t have一般将来时的否定。根据“It seems that you...much food”可知没有吃的动作是发生在过去，应用一般过去时，故选B。 10．句意：虽然你已经告诉他们你吃饱了，他们还是想让你多吃点。 eat吃，动词原形；eats动词三单；eating动名词；to eat动词不定式。固定短语want sb to do sth“想要某人做某事”，故选D。 11．句意：他们只是尽力让你有宾至如归的感觉。 they他们，主格；them他们，宾格；their他们的，形容词性物主代词；theirs他们的，名词性物主代词。固定短语try one’s best to do“尽某人最大的努力做”，故选C。 12．句意：他们只是尽力让你有宾至如归的感觉。 at在；on在……上面；in在……里面；near附近。根据“feel...home.”可知是指feel at home“宾至如归”，故选A。 13．句意：中国人保持这种礼仪有很长的历史了。 keep保持，动词原形；kept动词过去式；have kept现在完成时；will keep一般将来时。根据“for a long history”可知句子应用现在完成时，故选C。 14．句意：几千年前，孔子就说过：“有朋自远方来，不亦乐乎!” thousand千；thousands后一般加of；thousand of错误表达；thousands of成千上万的。根据空处结构可知thousands of符合语境，故选D。 15．句意：几千年前，孔子就说过：“有朋自远方来，不亦乐乎!” How中心词是形容词/副词；What an中心词是可数名词单数；What中心词是不可数名词或可数名词复数；What a中心词是可数名词单数。本句中心词是joy，不可数名词，应用what，故选C。 二、完形填空 (本大题共10小题；每小题1分，满分10分) In Chinese culture, people believe that lucky numbers can bring them good luck. So, it is important for Chinese people to 16 a good number for important things. For example, they choose lucky numbers for wedding dates and dates of moving into a new house. The numbers 6, 8 and 9 are the 17 lucky numbers of most Chinese people. Combinations (字码组合) of the above are thought as lucky numbers too, such as 66, 88, 168. Of all the individual (单独的) numbers, 8 is 18 the luckiest number in China. “8” is associated with (与…相联系) wealth. “8” in Chinese is 19 ba and sounds similar to fa. The traditional Chinese word fa cai means “wealthy” or “becoming 20 in a short time”. There are many phrases or expressions associated with “8”, such as “Bamian laicai”, meaning “ 21 comes from eight sides” and “Bamian chunfeng”, meaning “spring wind comes from eight directions”, expressing the wish that someone gets luck wherever she/he goes, or whatever she/he is   22 . Chinese people like to choose “8” as the time or date of important events. For example, the opening 23 of the 2008 Beijing Olympic Games started exactly at 8 minutes and 8 seconds past 8 pm on the 8th of August 2008. Chinese’s 24 for 8 can be seen in many other cases (事例), such as house numbers, phone numbers, number plates, wedding dates and the date for opening a business. 8 is considered lucky and favored by Chinese 25 it holds meaning in both traditional and modern cultures. 16．A．choose B．read C．count D．write 17．A．common B．similar C．favorite D．special 18．A．probably B．hardly C．nearly D．surely 19．A．written B．pronounced C．spelt D．drawn 20．A．rich B．happy C．good D．dear 21．A．luckiness B．knowledge C．wealth D．health 22．A．giving up B．working on C．hurrying up D．coming on 23．A．vacation B．tradition C．competition D．ceremony 24．A．thanks B．luck C．excuses D．love 25．A．although B．because C．until D．unless 【答案】 16．A 17．C 18．D 19．B 20．A 21．C 22．B 23．D 24．D 25．B 【导语】本文主要讲述了中国人对数字“8”的喜爱及原因。 16．句意：所以，对于中国人来说，选择一个好的数字来表达重要的事情是很重要的。 choose选择；read读；count数；write写。根据“a good number”可知，选择好的数字很重要，故选A。 17．句意：数字6、8和9是大多数中国人最喜欢的幸运数字。 common平常的；similar相似的；favorite最喜爱的；special特殊的。根据“The numbers 6, 8 and 9”可知，6，8，9是最喜爱的数字，故选C。 18．句意：在所有的单独数字中，8当然是中国最幸运的数字。 probably大概；hardly几乎不；nearly几乎；surely当然。根据“the luckiest number”可知，8当然是中国最幸运的数字，故选D。 19．句意：“8”在汉语中读作“ba”，读音与“fa”相近。 written写；pronounced发音；spelt拼写；drawn画画。根据“ba and sounds similar to fa.”可知，发音与fa相似，故选B。 20．句意：传统的中文单词发财的意思是“富有”或“在短时间内变得富有”。 rich富有的；happy高兴的；good好的；dear亲爱的。根据“wealthy”可知，在很短时间内变富，故选A。 21．句意：有许多短语或表达与“8”有关，如“八面来财”，意思是“财富来自八个方面”和“八面春风”，意思是“春风来自八个方向”，表达了希望某人无论走到哪里，无论做什么都能幸运。 luckiness运气；knowledge知识；wealth财富；health健康。根据“Bamian laicai”可知，“八面来财”是财富来自八个方面，故选C。 22．句意：有许多短语或表达与“8”有关，如“八面来财”，意思是“财富来自八个方面”和“八面春风”，意思是“春风来自八个方向”，表达了希望某人无论走到哪里，无论做什么都能幸运。 giving up放弃；working on致力于；hurrying up赶快；coming on加油。根据“whatever she/he is”可知，无论做什么都能幸运，故选B。 23．句意：例如，2008年北京奥运会开幕式正好在2008年8月8日晚上8点8分8秒开始。 vacation假期；tradition传统；competition比赛；ceremony仪式。根据“the 2008 Beijing Olympic Games”可知，北京奥运会开幕式，故选D。 24．句意：中国人对“8”的喜爱在很多方面都能体现出来，比如门牌号、电话号码、车牌号码、结婚日期和开业日期。 thanks感谢；luck运气；excuses借口；love爱。根据“for 8 can be seen in many other cases (事例), such as house numbers, phone numbers, number plates, wedding dates and the date for opening a business”可知，中国人对“8”的喜爱在很多方面都能体现出来，故选D。 25．句意：8被认为是幸运的，受到中国人的喜爱，因为它在传统和现代文化中都有意义。 although尽管；because因为；until直到；unless除非。根据“it holds meaning in both traditional and modern cultures.”可知，前后因果关系，故选B。 3、 阅读理解(本大题共15小题；每小题2分，满分30分) A On March 14, math and science lovers around the world celebrated a special day: Pi Day. Pi is equal to about 3.14, but the number goes on endlessly It is sometimes written in Greek, π. With the help of computers, mathematicians have been able to calculate (计算) pi out to over a trillion (万亿) decimal (小数的) places, but there is still no end to the number. This makes pi puzzling, even for the most famous scientists and mathematicians. Pi Day is celebrated around the world on March 14, since how we write this date, 3/14, looks just like the number pi. For some people, the appeal (感染力) of Pi Day goes far beyond math and science. Pi shows up throughout popular culture. You can see it in movies, comics, music and more. “In modern movies, any time the filmmaker wants to produce a sense of mystery (神秘), often the symbol pi is used”, says David Blatner, Jewish American writer of The Joy of Pi. People also love trying to memorize the digits (数字) of pi and competing against others to see who can remember the most. Many teachers hold class contests to see how many numbers their students can memorize. The Guinness World Record for reciting the most digits of pi is held by Lü Chao of China, who successfully recited pi out to nearly 67,890 decimal places. Above all, Pi Day is about having fun with the number, People celebrate Pi Day by eating or throwing pie and with fun pi-related games and activities. This year, Princeton, New Jersey, held a birthday party for Albert Einstein whose birthday also falls on March 14. There was also a ‘Walk a Pi Event’ where people walked 3.14 miles together. Just like the number itself, the possibilities for Pi Day are truly endless. 26．The following about Pi Day is true EXCEPT ________. A．it’s on March 14 B．it’s a day just for scientists C．Pi is equal to about 3.14 D．Pi’s Greek form is π 27．What does the underlined word “puzzling” in Paragraph 2 mean? ________. A．attractive B．exciting C．not clear to the understanding D．of great help 28．In modern movies, the symbol pi is often used to ________. A．represent a long number B．represent the subject of math C．describe something boring D．describe something mysterious 29．What does the last paragraph talk about? ________. A．Fun activities on Pi Day B．Activities about pi in class C．Walk a Pi Event D．Albert Einstein’s birthday 【答案】26．B 27．C 28．D 29．A 【导语】本文主要介绍了Pi Day以及这一天人们举办的活动。 26．细节理解题。根据“Pi Day is celebrated around the world on March 14”可知Pi Day在3月14号，排除A；根据“Pi is equal to about 3.14”可知Pi大约等于3.14，排除C；根据“It is sometimes written in Greek, π”可知它用希腊语写成π，排除D。故选B。 27．词义猜测题。根据“but there is still no end to the number. This makes pi puzzling”可知π没有尽头，所以这让人感到困惑，故此处划线部分和选项C意义相近。故选C。 28．细节理解题。根据“In modern movies, any time the filmmaker wants to produce a sense of mystery (神秘), often the symbol pi is used”可知在现代电影中，每当电影制作人想要制造神秘感时，通常都会使用符号pi。故选D。 29．主旨大意题。根据“People celebrate Pi Day by eating or throwing pie and with fun pi-related games and activities...”可知最后一天介绍了在Pi Day这一天的有趣活动。故选A。 B Do you know who was described as “superhuman” by the great inventor and astronomer Galileo? It was Archimedes who solved the king’s problem of the golden crown while taking a bath. He was perhaps one of the most outstanding scientists in the world. He was a mathematician, physicist, engineer, weapon designer and inventor. He was wise in philosophy, active in mathematics and physics. He was also recognized as one of the finest engineers of his time. He was born on the island of Sicily in the city of Syracuse around the year 287 BC and died in 212 BC． Archimedes showed great love for mathematics. He made many discoveries. For example, he determined the exact value of pi. He invented and developed methods similar to calculus (微积分) and used them to find the area of a circle and an accurate estimation (估计值) of the value of pi. Today he is regarded as one of the greatest mathematicians in history. Archimedes used his mathematical skills and talents to create useful inventions. One of his most famous inventions is called the Archimedes’ Screw. It was a device that could lift water to higher levels. One of its first uses was to pump water out from a leaking ship. It is still used today in some places to move water from low places to high places. This invention influenced Leonardo da Vinci as he worked on developing the functioning flying machine. Can you imagine counting the sand in the universe? Archimedes once tried to calculate the number of sand grains in the universe. Obviously, it was impossible but it goes to show that he was too smart. His intellectual curiosity and achievements to mathematics, in general, would go on to encourage other mathematicians as well. Most of his achievements were by far ahead of his time. Archimedes was in deed a genius. 30．What’s the main idea of paragraph 2? A．A brief introduction to Archimedes. B．Archimedes’ discoveries in maths. C．The great inventions of Archimedes. D．Archimedes’ study on the universe. 31．What does the underlined word “it” refer to in paragraph 3? A．A leaking ship. B．Water from low places. C．The Archimedes’ Screw. D．The functioning flying machine. 32．Which of the following is NOT true according to the article? A．Archimedes was a man with many talents and died at the age of 75. B．Leonardo da Vinci and Archimedes developed the functioning flying machine. C．The Archimedes’ Screw helped lift water from lower places to higher places. D．Archimedes’ achievements will continue to encourage generations of mathematicians. 33．What might be the best title for the article? A．Archimedes and Inventions B．Archimedes and Mathematics C．The Achievements of Archimedes D．The Life Experience of Archimedes 【答案】30．B 31．C 32．B 33．B 【导语】本文主要介绍了阿基米德在数学领域的一些发现。 30．主旨大意题。根据“Archimedes showed great love for mathematics. He made many discoveries.”以及下文可知，本段主要介绍的是阿基米德在数学领域的发现。故选B。 31．词句猜测题。根据“One of his most famous inventions is called the Archimedes’ Screw. It was a device that could lift water to higher levels. One of its first uses was to pump water out from a leaking ship. It is still used today in some places to move water from low places to high places.”可知，此处介绍的是阿基米德发明的一种螺旋，能将水从低处运到高处，因此it指代“The Archimedes’ Screw”。故选C。 32．细节理解题。根据“This invention influenced Leonardo da Vinci as he worked on developing the functioning flying machine.”可知，阿基米德螺旋的发明只是影响了达芬奇，发明功能性飞行器的是达芬奇。故选B。 33．最佳标题题。根据“Archimedes showed great love for mathematics…Today he is regarded as one of the greatest mathematicians in history…His intellectual curiosity and achievements to mathematics, in general, would go on to encourage other mathematicians as well”以及全文可知，本文主要介绍的是阿基米德和数学的故事。故选B。 C Fibonacci was the nickname of an Italian mathematician, Leonardo of Pisa, who lived in the early 1200s. Fibonacci discovered his famous sequence—the Fibonacci number sequence (斐波那契数列). The sequence goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, and so on. The Fibonacci sequence is actually pretty simple. The first two numbers in the sequence are zero and one; if you add them together, their sum is 1, the third number in the sequence. The second and third numbers in the sequence are 1 and 1; you add these numbers together to get the fourth Fibonacci number: 2. The sum of the third and fourth numbers, 1 and 2, equal the fifth number: 3. Continue the pattern: 2+3=5; 3+5=8; 5+8=13; and so on until you reach 144+233=377. The sequence is also called the rabbit sequence because Fibonacci introduced his sequence to the public by describing a situation of counting rabbits. Imagine that there is a pair of newborn rabbits, one male and one female. At the end of the first month, they grow into adult rabbits. At the end of the second month, they give birth to a new pair of babies, so there are two pairs. The first pair produces another pair of babies again, and the second pair grows up. Therefore, at the end of the third month, there are three pairs, .... Fibonacci numbers appear often in maths. In fact, there is a magazine, the Fibonacci Quarterly, publishing the study on them. Fibonacci numbers are also used in computer programs. They appear in nature such as in the number of petals on a flower as well. A lily has three petals, a buttercup has five petals, and an aster has 21 petals — 3, 5, and 21 are all Fibonacci numbers. 34．What is the sixteenth number in the Fibonacci sequence? A．233. B．377. C．610. D．987. 35．How did Fibonacci introduce his sequence to the public? A．By telling stories. B．By listing numbers. C．By comparing facts. D．By giving examples. 36．What does the word “They” in the last paragraph refer to? A．Fibonacci magazines. B．Fibonacci numbers. C．Petals on a flower. D．Computer programs. 37．What is the best title of this article? A．How to Count Rabbits. B．Interesting Numbers in Nature. C．Magical Fibonacci Sequence. D．Fibonacci—a great mathematician. 【答案】34．C 35．D 36．B 37．C 【导语】本文主要介绍了神奇的斐波那契数列。 34．推理判断题。根据“The sequence goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, and so on. The Fibonacci sequence is actually pretty simple. The first two numbers in the sequence are zero and one; if you add them together, their sum is 1, the third number in the sequence. The second and third numbers in the sequence are 1 and 1; you add these numbers together to get the fourth Fibonacci number: 2. The sum of the third and fourth numbers, 1 and 2, equal the fifth number: 3.”可知根据斐波那契数列的规则，第十五个数字是：144+233=377，第16个数字是233+377=610。故选C。 35．细节理解题。根据“The sequence is also called the rabbit sequence because Fibonacci introduced his sequence to the public by describing a situation of counting rabbits.”可知以数兔子为例来介绍自己的数列。故选D。 36．代词指代题。根据“Fibonacci numbers are also used in computer programs. They appear in nature such as in the number of petals on a flower as well.”可知斐波那契数也用于计算机程序中。它们出现在自然界中，比如一朵花的花瓣数量，可推出They指代上文出现的“Fibonacci numbers”。故选B。 37．标题归纳题。本文主要介绍了神奇的斐波那契数列，以“Magical Fibonacci Sequence.”做标题最合适。故选C。 D Last month, there was a survey (调查) in Shanghai to find out how students learn English. 5000 students from 20 middle schools were interviewed. The pie chart shows the most popular 4 ways of learning English. 38．The survey is about ______. A．what students do in their free time B．how students learn English C．how many students practise English D．what are popular ways to learn English 39．According to the chart, ______ students learn English by joining English clubs. A．450 B．600 C．1150 D．2800 40．From the chart we can know that most students learn English by ______ . A．listening to English songs B．joining English clubs C．reading English newspapers D．watching English movies 【答案】38．B 39．A 40．D 【导语】本文介绍了英语学习方式的调查报告的结果，展示了在学校最受欢迎的四种英语学习方式。 38．细节理解题。根据第一段“Last month, there was a survey (调查) in Shanghai to find out how students learn English.”可知，此项调查与如何学习英语有关。故选B。 39．细节理解题。根据第一段“5000 students from 20 middle schools were interviewed.”以及图片中“Join English clubs 9%”可知，5000名学生接受了采访，加入英语俱乐部的占比为9%，即5000×9%=450名学生。故选A。 40．细节理解题。根据图片中“Watch English movies 56%”可知，大多数学生学习英语的方法是看英语电影。故选D。 四、阅读填空 (本大题共5小题；每小题1分，满分5分) 阅读下面短文，从短文后所给的五个选项中选出能填入短文空白处的最佳选项。使短文通顺、连贯，意思完整。 Nowadays, computers and the Internet are playing an important part in our life. 41 When you use the computers, you usually need to set passwords (密码). But not all the passwords are safe. How can you make your passwords safe? 42 First, use capital (大写) letters in your password. It will be difficult for others to get into your account (账户). It only takes a hacker (黑客) 13 minutes to work out a six-letter password made of small letters. 43 Second, use numbers and symbols in your password. 44 Sometimes such passwords are not easy to remember, but they are really safe. 45 If you do so, hackers will guess your passwords easily. You should change your passwords about every 90 days. In that way, hackers won’t guess your passwords. A．Here are some suggestions for you. B．It will be much safer than the simple number password. C．Some people even say that they can’t live without them. D．Third, never use personal information for your passwords. E．But the same password in capital letters takes a hacker 10 hours to work out. 【答案】41．C 42．A 43．E 44．B 45．D 【导语】本文主要介绍了如何设置安全的密码。 41．根据“Nowadays, computers and the Internet are playing an important part in our life.”可知，此处是介绍电脑和互联网的重要性，选项C“有些人甚至说，没有它们他们不能生活。”符合语境。故选C。 42．根据“How can you make your passwords safe?”及“First, use capital (大写) letters in your password.”可知，此处是指给出建议，选项A“这里有一些建议给你。”符合语境。故选A。 43．根据“It only takes a hacker (黑客) 13 minutes to work out a six-letter password made of small letters.”可知，此处是在介绍黑客破译密码所需的时间，选项E“但同样的大写密码黑客要花10个小时才能破解。”符合语境。故选E。 44．根据“Second, use numbers and symbols in your password.”可知，此处是在介绍使用数字和符号作为密码的好处，选项B“它会比简单的数字密码安全得多。”符合语境。故选B。 45．根据“If you do so, hackers will guess your passwords easily.”可知，此处是在介绍不要使用哪种密码，选项D“第三，永远不要使用个人信息作为密码。”符合语境。故选D。 五、语篇填词(本大题共5小题；每小题1分，满分5分) 阅读短文，根据上下文和所给的首字母写出所缺单词。注意使用正确的形式，每空限填一词。 A long time ago, there was a king in India. The king’s favorite game was chess. One day, a w 46 old man came to the palace and the king challenged him to a game. The king p 47 the old man, “You can have any prize if you win the game.” The old man said, “If I win the game, I’d like one grain of rice for the first square of the chessboard, four for the third, and then double the a 48 for each of the rest of the squares.” “Is that all?” asked the king. “Wouldn’t you like gold or silver i 49 ?” “No, just rice,” replied the old man. The king and the old man played the game for a long time. Finally the old man won. So the king ordered his men to collect a bag of rice. He put one grain on the first square, and so on. The king quickly r 50 the problem—even with all the rice in the country, he would still not have enough rice to put on all the squares! 【答案】46．(w)ise 47．(p)romised 48．(a)mount 49．(i)nstead 50．(r)ealized 【导语】本文是一篇记叙文。印度有一位国王，他最喜欢下棋。有一天，一位老人来到宫殿，国王向他挑战下棋。老人说，如果他赢了，想要第一个棋盘格子上的一粒米，第二个格子上的两粒米，第三个格子上的四粒米，然后每个格子都翻倍。国王最终输给了老人，但他意识到即使整个国家的米都拿来，也不够放在棋盘上的格子上。 46．句意：一天，一位智慧的老人来到王宫，国王向他挑战，要和他做一场游戏。根据首字母w和后文可知，国王最终输给了老人，故老人充满了智慧，形容词wise “智慧的”作定语修饰名词。故填(w)ise。 47．句意：国王答应老人：“如果你赢了比赛，你可以得到任何奖品。”根据“You can have any prize if you win the game.”可知，国王向老人做出了承诺，根据“came to the palace”可知，时态为一般过去时，应用promise的过去式。故填(p)romised。 48．句意：如果我赢了，我想在棋盘的第一个方格里放一粒米，在第三个方格里放四粒米，然后在剩下的方格上放两倍的米。根据“If I win the game, I’d like one grain of rice for the first square of the chessboard, four for the third, and then double”可知，此处指在剩下的方格里的每一个方格放多一倍的数量，结合首字母a可知，amount “数量” 符合句意。故填(a)mount。 49．句意：你不想换成金子或是银子吗？根据“Wouldn’t you like gold or silver”可知，国王给出了另一个提议，结合首字母i可知，instead “代替” 符合句意。故填(i)nstead。 50．句意：国王很快意识到这个问题——即使有了全国所有的大米，他仍然没有足够的大米来填满所有的方块！根据“even with all the rice in the country, he would still not have enough rice to put on all the squares!”可知，国王意识到了问题，时态为一般过去时，应用realize的过去式。故填(r)ealized。 六、完成句子 (本大题共5小题；每小题2分，满分10分) 51．很久以前，在那里住着一位智者。 , there lived a wise man. 【答案】 A long time ago 【详解】“很久以前”译为 a long time ago，句子开头首字母大写。故填 A; long ;time; ago。 52．昨天老师要求我们抄写这首诗五次。 The teacher to the poem for five times yesterday. 【答案】 asked us copy down 【详解】短语ask sb. to do sth.表示让某人做某事；短语copy down表示抄下；这里是一般过去 时态，ask的过去式是asked。根据汉语提示，故填asked. us；copy  down。 53．你先完成作业再出去是明智的。 you to finish your homework before you go outside. 【答案】 It is wise of 【详解】根据汉英对照可知，本题考查It is +形容词+of/for sb. to do sth“某人做某事是……的”；根据汉语提示可知，句中的形容词“明智的”修饰人，应该用介词of。“明智的”对应的英文为wise。故填It；is；wise；of。 54．我们学校有很多社团，例如象棋社团、篮球社团、表演社团等。 There lots of clubs in our school, such as Chess Club, Basketball Club, Performance Club, . 【答案】 are and so on 【详解】根据“lots of clubs”可知there be中be动词用are；and so on表示“等等”。故填are；and；so；on。 55．昨天他向我挑战，要和我进行一场羽毛球赛。 He a badminton match yesterday. 【答案】 challenged me to 【详解】challenge sb to sth表示“挑战某人某事”，固定搭配；me“我”，根据“yesterday”可知，句子是一般过去时，动词用过去式，故填challenged；me；to。 七、书面表达（15分） 当前，学生的学习生活多姿多彩，业余爱好也多种多样。下图是我们对某所中学300名学生业余爱好的调查结果。请根据下要求，用英语写一篇短文。 要求：1、必须包括：①调查结果；②你自己的爱好、选择的原因及带来的益处； 2、文中不得出现真实的校名和人名； 3、词数：80～100（文章开头已给出，不计入总词数） Many students have hobbies. Here is the result of the survey about what 300 students usually do in their free time.____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 【答案】例文 Many students have hobbies. Here is the result of the survey about what 300 students usually do in their free time. Nearly half of the students like music, a quarter of them usually spend their time playing sports on weekends, and twenty percent enjoy reading books. A few students like collecting things they like, such as stamps, coins and so on. Few students have other hobbies. As for me, I prefer listening to music. Because it can give me pleasure when I’m unhappy and make me relaxed after hard study. Sometimes I listen to English songs. I can learn English words or phrases from them. It really improves my English a lot. 【详解】[总体分析] ①题材：本文是一篇说明文，属于材料作文写作； ②时态：时态为“一般现在时”； ③提示：文章开头以及要点已经给出，按照提示的要点逐点阐述，不要遗漏提示中的“带来的益处”这一要点，可以适当增加细节，并突出写作重点。 [写作步骤] 第一步，承接短文开头，引出话题； 第二步，先根据图表说明调查的结果，要列举具体的数据； 第三步，接着说明自己的爱好、选择的原因以及带来的益处并书写结语。 [亮点词汇] ①half of……的一半 ②a quarter of四分之一 ③prefer doing sth喜欢做某事 [高分句型] ①Nearly half of the students like music, a quarter of them usually spend their time playing sports on weekends, and twenty percent enjoy reading books.（and连接的并列句） ②A few students like collecting things they like, such as stamps, coins and so on.（省略引导词that引导的定语从句） ③Because it can give me pleasure when I’m unhappy and make me relaxed after hard study.（when引导的时间状语从句；because引导的原因状语从句） 答案第10页，共10页 原创精品资源学科网独家享有版权，侵权必究！6 学科网（北京）股份有限公司 $$