Module 11 Unts 3—4 单元训练

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  一、單项填空(共15题;每小题1分,满分15分)
  1. The woman providing the money to start her own business ______ of the project, discouraging us a lot.
  A. taken out B. put out
  C. pulled out D. set out
  2. The authentic version of the CD has really ______ in recently months.
  A. taken off B. paid off
  C. given off D. set off
  3. It was his______ rather than his luck that contributed to his success.
  A. resign B. receipt
  C. perseverence D. astronomy
  4. Faced with the disaster, no one could ______ giving a hand to the victims.
  A. apart from B. arise from
  C. withdraw from D. shrink from
  5. I would have attended the lecture, but I was______ engaged.
  A. else B. somehow
  C. otherwise D. anyhow
  6. Only if you avoid such habits as smoking and heavy drinking ______ enjoy a better way of life.
  A. can you B. you can
  C. you did D. did you
  7. When you feel alone, just look at the spaces between your fingers, and remember that’s ______my fingers fit perfectly.
  A. what B. why
  C. where D. how
  8. “But for the fact that you ______ here for 3 years, I ______ in this key high school now, facing its endless homework and exams!” the poor girl cried to her helpless father.
  A. studied; wouldn’t have studied
  B. studied; wouldn’t be studying
  C. had studied; wouldn’t have studied
  D. had studied; wouldn’t be studying
  9. ______ to the extraordinary beauty of Acropolis is the Erechtheum, famous for the six female statues supporting part of its roof.
  A. Being added B. Having added
  C. Added D. Adding
  10. That has emerged at the G20 summit, but there hasn’t been agreement on that issue, which is quite______ .
  A. confidential B. controversial
  C. contemporary D. contradictory
  11. My grandma, living separately in the country, is just content to sit comfortably in front of TV each evening, happy ______ Chinese traditional opera programs.
  A. to be watching B. watching
  C. to watch D. to be watched
  12. —Why are you so upset, Mary?
  —My boss ______ fault with me. He is not so kind as you think.
  A. always find B. is always finding
  C. has always found D. always found
  13. President Xi said that China would ______ the new economic challenges in the world by promoting interconnected development.
  A. correspond to B. refer to   C. respond to D. subscribe to
  14. —How could she have let something so important ______ her mind?
  —She’s really applied to work recently and gets burnt out.
  A. occupy B. cross
  C. slide D. slip
  15. —Do you know if the new CEO is willing to meet the director this afternoon?
  —______, does it?
  A. It takes no time
  B. It counts for nothing
  C. It doesn’t make sense
  D. It doesn’t hurt
  二、完形填空(共20小題;每小题1分,满分20分)
  In all one’s lifetime it is oneself that one spends the most time being with or dealing with. But it is 16 oneself that one has the least understanding of. When you are going upwards in life you tend to 17 yourself. It seems that everything you seek for is within your 18 . When you are going downhill you tend to underestimate yourself.
  To get a thorough understanding of oneself is to gain a correct view of oneself and be a realist-aware of both one’s 19 and shortages. You may 20 hopefully to the future but be sure not to 21 too much, for ideals can never be fully realized. You may be 22 to meet challenges but it should be clear to you 23 to direct your efforts. That’s to say, so long as you have a perfect 24 of yourself, there won’t be obstacles you can’t overcome.
  To get a thorough understanding of oneself needs self-appreciation. 25 you think you are a towering tree or a blade of grass, a high mountain or a small stone, you 26 a state of nature that has its own reason of existence. If you earnestly 27 yourself, you’ll have a real sense of self-appreciation, which will give you confidence. 28 you gain full confidence in yourself, you’ll be 29 to fight and overcome any adversity.
  To get a thorough understanding of oneself also requires doing oneself a favor when it’s needed. In time of anger, do yourself a favor by giving an 30 to it in a quiet place so that you won’t be hurt by its flames; in time of sadness, do yourself a favor by 31 it with your friends so as to change a gloomy mood into a cheerful one; in time of tiredness, do yourself a favor by getting a good sleep or taking some stimulant. Show yourself loving concern about your health and daily life. 32 you know perfectly well when and how to do yourself a favor, you won’t be confident and ready enough to 33 the attack of illness. As you are aware, what a person physically has is but a human body that’s vulnerable when 34 to the elements. So if you fall ill, it’s up to you to take a good care of yourself.   In a word, to get a thorough understanding of oneself is to get a full 35 of one’s life. Then one will find one’s life full of color and flavor.
  16. A. permanently B. previously
  C. precisely D. probably
  17. A. overlook B. overestimate
  C. overcome D. overtake
  18. A. touch B. range
  C. limit D. reach
  19. A. weaknesses B. disadvantages
  C. strengths D. limitations
  20. A. look up B. look back
  C. look down D. look forward
  21. A. anticipate B. expect
  C. inspect D. dream
  22. A. honest B. comprehensive
  C. courageous D. delicate
  23. A. what B. which
  C. how D. where
  24. A. idea B. knowledge
  C. system D. acquisition
  25. A. When B. Which
  C. What D. Whether
  26. A. represent B. recommend
  C. regulate D. recover
  27. A. adapt B. arouse
  C. admire D. assess
  28. A. As good as B. As soon as
  C. As far as D. As well as
  29. A. advised B. allowed
  C. enabled D. committed
  30. A. outlet B. excuse
  C. criterion D. solution
  31. A. quarreling B. arguing
  C. sharing D. interacting
  32. A. If B. Once
  C. Since D. Unless
  33. A. reject B. restore
  C. recover D. resist
  34. A. expected B. exposed
  C. experienced D. exported
  35. A. credit B. power
  C. control D. grace
  三、閱读理解(共15题;每小题2分,满分30分)
  A
  As the Chinese mainland’s first Disney park kicks off ticket sales on Monday, Chinese scalpers are already running a thriving trade in tickets, some of which are being hawked at 1,600 yuan ($246), triple the official price.
  A rough search for Shanghai Disneyland tickets on Chinese e-commerce giant Taobao on Sunday yielded some 250 results, with prices ranging from 1 yuan to 1,600 yuan.
  “We began to sell tickets about one month ago. You can prepay for tickets which will be delivered by the end of March,” one Taobao shop owner told the Global Times on Sunday, claiming that over 1,000 tickets have been sold. Another shop owner claimed that tickets for the coming June, July and August are sold out.
  Tourists can book tickets on Shanghai Disneyland Park’s official website, its official WeChat account and at authorized online shops beginning at 12 am on Monday.
  Several Taobao shop owners reached by the Global Times on Sunday pledged their tickets’ authenticity. While some explained that they will help customers book tickets when official sales begin, others claimed that they were selling coin certificates that will be exchanged for tickets.   While an ID card check is required for entry to the park, one Taobao shop owner claimed that their tickets will only require a check of visitors’ cell phone numbers and names.
  The park has denied selling tickets for “trial operations,” after some netizens tried to sell tickets for early access to the park, thepaper.cn reported.
  As the first Disney park in the Chinese mainland, Shanghai Disneyland Park is expected to receive a huge number of tourists when it opens to the public on June 16. Many Net users have expressed their hopes to visit the park, which they expect will be cheaper than a trip to Hong Kong, where China’s first Disney park was built.
  36. What’s the official price of Shanghai Disney park ticket?
  A. 1,600 RMB. B. 4,800 RMB.
  C. 534 RMB. D. 246 RMB.
  37. Which of the following has the closest meaning to the underlined word in Para 5?
  A. justified. B. deduced.
  C. clarified. D. guaranteed.
  38. Which of the following is true according to the passage?
  A. We can search for any related information about Shanghai Disneyland Park on Taobao.
  B. Tourists can only purchase Shanghai Disneyland Park tickets on its official website.
  C. Some tourists can enjoy “trial operation” tickets to enter Shanghai Disneyland Park earlier.
  D. Shanghai Disneyland Park is expected to embrace prosperity after being opened to the public.
  B
  Today, many species of animals and plants are endangered. This means they are in danger of becoming extinct and living on only in the pages of history books. The famous dodo is a classic example of a creature that became extinct. A flightless bird that lived on the island of Mauritius, it was discovered by sailors in 1598 but was hunted to extinction by 1681.
  Hunting has caused the Bengal tiger and the African elephant to be endangered today but habitat destruction can also lead to extinction. This is equally true for plants. Animals and plants disappear for other reasons too, but the main cause is often a disruption (打亂,破坏) in the natural food chain, whether due to hunting, habitat destruction, or even the introduction of alien species.
  The natural food chain is the cycle that governs the existence of all life on this planet. It is a carefully balanced cycle and any imbalance that occurs can cause knock-on effects that have serious consequences. At the beginning of the natural food chain are plants which turn sunlight into energy and draw nutrients from the earth. Plants are called producers.   After the producers come the consumers. There are three tiers of consumers. First are creatures such as plant-eating animals, fish and insects which feed off the producers. These animals that only eat plants are called herbivores. The second tier of consumers are carnivores—animals that live off other animals. The third tier of consumers eats both other animals and plants. These consumers, including most humans, are called omnivores.
  After animals and plants die, they become food for other smaller creatures, such as bacteria and some plants, such as fungi. As they feed, these creatures turn the dead bodies back into gases and minerals which are again food for the producers at the beginning of the food chain. And so the cycle continues.
  All of nature is connected and governed by hundreds of these delicate food chains and if a single plant in the chain cannot survive, then the insects that live off the plant start to die and the animals that eat the insects also start to die.
  When a food chain is disrupted, the consequences can be extremely serious. One estimate suggests that for each plant species that is lost, up to 30 animals and insects may also die out. One wonders how many species were affected by the extinction of the dodo?
  Humans can have disastrous effects on food chains. We’ve already mentioned hunting but now let’s look at travel. When people first started to explore the world they took plant and animal species from their home countries and introduced them wherever they went. They didn’t realize that by introducing alien species they were disrupting the natural food chains of the areas they discovered. Although there are strict rules in place today controlling the import and export of alien species, some places are still fighting the effects of aliens introduced hundreds of years ago.
  For example, Gough Island in the South Atlantic Ocean is a breeding ground for albatrosses that have been nesting there for centuries. But in the 19th century, mice from passing ships were brought to the island. Being a species alien to the island, they had no natural predators and have now grown to such a size that they are attacking and killing albatross chicks. If they are allowed to continue, they will wipe out the albatross population.
  With import laws and people’s rising awareness of how humans affect the natural environment, hopefully we can learn to fit better into the natural food chains that govern our world. Otherwise we need to accept that the loss of any more plants and animals could eventually mean our own extinction.   39. What do the first two paragraphs mainly tell us?
  A. Hunting and habitat destruction lead to extinction.
  B. Many species of animals and plants are endangered.
  C. The main cause of extinction is often a disruption in the natural food chain.
  D. Plants and animals become extinct for the same reasons.
  40. Which of the following sentence is TRUE according to the passage?
  A. Strict rules alone can remove the bad effects of alien species.
  B. Plants, herbivores and carnivores are the three tiers of consumers.
  C. Animals and plants become extinct because alien species are imported.
  D. If a bird becomes extinct, the relevant food chain will be disrupted.
  41. By mentioning the mice in Gough Island, the author intends to highlight______ .
  A. mice worldwide are growing all the time
  B. traveling can have disastrous effects on food chains
  C. some places are still fighting the effects of aliens
  D. being aliens, they had no natural predators
  42. What is the best title of the passage?
  A. Survival of the fittest.
  B. Endangered animals and plants.
  C. How to protect the natural environment.
  D. The link between food chains and extinction.
  C
  What would the holidays be without lots of tiny twinkling lights? Less colorful and festive—but also a lot safer.
  From living rooms to front porches across the country, homeowners are stringing millions of lights on Christmas trees or eaves and decorating their windowsills with electric, battery-operated or traditional candles. But according to the federal Consumer Product Safety Commission, too many are doing so with little regard to the hazards (危險). Last holiday season there were about 200 Christmas tree fires in American homes, resulting in 10 deaths and more than $10 million in property loss, the Commission says. Another 14,000 house fires are started yearly by misplaced or mishandled candles, causing 170 deaths and $350 million in property loss. And about 10,000 people are treated at emergency rooms for injuries from falls, cuts or shocks while hanging lights or decorations.
  The biggest causes of holiday fires are “candles and live trees”, said Kim Dulic, a Commission spokeswoman. The agency recommends battery-operated candles instead of real or electric, she said, along with fire-resistant artificial trees—or fresh, well-watered trees.
  A cut tree is fresh, she said, if the bottom of its trunk is sticky with resin (树脂) and its needles are hard to pull and don’t break when bent. It is too dry if it sheds a shower of needles when bounced on the ground. A harvested tree should be cut about a half inch from the bottom and put in water within no more than three to six hours, said Rick Dungey, the public relations manager of the National Christmas Tree Association, in Chesterfield, Mo. “If you wait any longer, air molecules get in the trunk and they prevent the tree from absorbing water,” Mr. Dungey said, adding that people should water often and never let the water go below the cut end. Once a Christmas tree dries out, it is an accident waiting to happen, said Lorraine Carli, the communications vice president of the National Fire Protection Association, in Quincy, Mass. If catching fire, the tree can be engulfed in seconds.   The most common cause is electrical—either an overused electrical system or faulty wiring. Brett Brenner, the president of the Electrical Safety Foundation International (ESFI), in Rosslyn, Va., said homeowners should make yearly inspections. “Cracked sockets(插座), frayed or bare wires and loose connections can cause a serious shock or start a fire,” he said. Use no more than one extension cord per socket, and string no more than three sets of lights together. Wires should not run under carpets or through windows or doors. He said outdoor outlets should be protected by a ground fault circuit interrupter—a breaker that trips with any interruption or problem with the ground wire. (An interrupter usually needs to be installed when an outlet is near or exposed to water; it generally costs less than $10.)
  John Drengenberg, the consumer affairs director of Underwriters Laboratories, the testing group in Northbrook, III., said that if lights are certified (標记为) for indoors only, they must not be used outside; those certified for outdoors, however, can be used inside. And what about those who don’t take down their outdoor lights until the wisteria (紫藤花) is in bloom in May? “You should never leave lights up all year round,” Mr. Drengenberg said. “They’re not designed for year-round use.”
  43. According to the passage, what is the best choice of Christmas trees?
  A. A real tree which is displayed at the shop.
  B. An artificial tree with delicate craftsmanship.
  C. A real tree whose needles don’t break when bent.
  D. An artificial tree that won’t be engulfed immediately.
  44. It can be inferred from Paragraph 5 that ______.
  A. electrical devices for outdoor use are not expensive
  B. the ESFI inspects household electrical system annually
  C. homeowners do not have the particular electrical knowledge
  D. an overloaded electrical system or faulty wiring may lead to disasters
  45. What is the main idea of this passage?
  A. The accidents during Christmas season.
  B. The possible danger of Christmas decoration.
  C. The necessary information on safety regulations.
  D. The nature of the household hazards at the Christmas season.
  D
  What will higher education look like in 2050? That was the question addressed Tuesday night by Michael Crow, president of Arizona State University.
  “We’re at the end of the fourth wave of change in higher education,” Crow began, arguing that research universities followed the initial establishment of higher education, public colleges, and land-grant schools in the timeline of America.   In less than a half-century, he said, global market competition will be at its fastest rates of change ever, with several multitrillion-dollar economies worldwide. According to a recent projection, the nation’s population could reach 435 million, with a large percentage of those residents economically disadvantaged. In addition, climate change will be “meaningfully uncontrollable” in many parts of the world.
  The everyday trends seen today, such as declining performance of students at all levels, particularly in math and science, and declining wages and employment among the less educated, will only continue, Crow maintained, and are, to say the least, not contributing to fulfilling the dream of climbing the social ladder mobility, quality of life, sustainable environment, and longer life spans that most Americans share.
  “How is it that we can have these great research universities and have negative-trending outcomes?” Crow said in a talk “I hold the universities accountable... We are part of the problem.”
  Among the “things that we do that make the things that we teach less learnable,” Crow said, are the strict separation of disciplines, academic rigidity, and conservatism, the desire of universities to imitate schools at the top of the social ranks, and the lack of the computer system ability that would allow a large number of students to be educated for a small amount of money.
  Since 2002, when Crow started being in charge at Arizona State—which he calls the “new American university”—he has led more than three dozen initiatives that aim to make the school “inclusive, scalable, fast, adaptive, challenge-focused, and willing to take risks.”
  Among those initiatives were a restructuring of the engineering and life sciences schools to create more linkages between disciplines; the launch of the School of Earth and Space Exploration and the School of Sustainability; the start of a Teachers College to address K-12 performance and increase the status of the Education Department at the university; and broadened access, increasing the freshman class size by 42 percent and the enrollment of students living below the poverty line by 500 percent.
  Universities must start, Crow noted, “by becoming self-reflective architects, figuring out what we have and what we actually need instead of what legend tells us we have to be.” Research universities today have “run their course,” he added. “Now is the time for variety.”
  During a discussion afterward, Crow clarified and expanded on some of his points. He discussed, for example, the school’s distance-learning program. “Nearly 40 percent of undergraduates are taking at least one course online,” he said, which helps the school to keep costs down while advancing interactive learning technologies.   He said that Arizona State is working to increase the transfer and completion rates of community-college students, of whom only about 15 percent, historically, complete their later degrees. “We’ve built a system that will allow them to track into universities,” particularly where “culturally complex barriers” beyond finances limit even the most gifted students.
  46. The fourth wave of change in America’s higher education refers to______ .
  A. public colleges
  B. land-grant schools
  C. initial higher education
  D. research universities
  47. Which is NOT part of the American dream most people share?
  A. People enjoy a quality life.
  B. People live longer and longer.
  C. The freedom to move around.
  D. An environment that is sustainable.
  48. Which is an initiative adopted by Crow at Arizona State University?
  A. Restructuring the teachers College.
  B. Launching the School of Life Sciences.
  C. Ignoring the linkages between disciplines.
  D. Enrolling more students from poor families.
  49. Which one is similar to the underlined word “architect” in meaning?
  A. The author of the guidebook is an architect by profession.
  B. Deng Xiaoping is one of the architects of the PRC.
  C. If you want to refurnish the house, consult the architect.
  D. Tom is considered one of the best landscape architect here.
  50. With the distance-learning program, Arizona State University is able to ______ .
  A. enroll 40% of its students online
  B. provide an even greater number of courses
  C. attract the most gifted students all over the world
  D. keep costs down without a loss of quality
  四、任務型阅读(共10题;每小题1分,满分10分)
  请认真阅读下面短文,并根据所读内容在文章后表格中的空格里填上一个最恰当的单词。
  The benefits of being an independent business are truly great. Beyond the rewarding nature of owning something truly unique, small businesses have the edge over their big business counterparts in many areas. Consider the importance of being independent and how that independence can help drive your business.
  To some, having fewer customers simply means less cash flow; however, having a smaller base also allows you to focus more on customer satisfaction.
  Companies are always searching for ways to improve customer service and have more of their business. Whether through paying special attention to who comes through your door or monitoring your customers through the social network, it’s less of trouble to make sure your customers’ needs are being met when there’s a smaller sample to deal with. In addition, it becomes much easier to create a personal connection with buyers when you have enough time and attention to show them some love.   Small businesses have an inherent advantage over their big box competitors in the sense that they can offer something different. People want to see the independent businesses that offer unique products and flavor to their communities. Your business can be the difference when it comes to what customers want.
  Of course, big box companies will almost always beat you down when it comes to price. Consider, however, that if you can offer a truly unique product or experience, price becomes much less of an issue.
  People like the idea of supporting local independent businesses versus “the big guys”. So, what businesses are booming due to the rise of independence?
  Craft Beer (精酿啤酒)—The craft beer movement in the United States is supported so widely that big breweries have taken to creating their own competing “craft beer” brands in an attempt to follow the trend. While Anheuser Busch represents nearly half of America’s breweries, craft beer has seen a huge jump in sales in resent years.
  Video Games—Whether through PCs, traditional consoles or mobile games, independent developers are supported by enthusiastic fans and micro-transactions in an industry that was formerly dominated by bigger developers.
  Musicians—The modern web offers immense opportunities to musicians, resulting in more economic and artistic freedom. A surprising number of mainstream artists have seen great success from their independent releases, such as Macklemore’s The Heist, which has sold over one million copies in the United States alone.
  Some small businesses don’t want to be small businesses forever. Regardless, consider what independence does for you and your company. If you offer something out of the ordinary, you can build an audience that respects your individuality and supports your cause.
  五、書面表达(25分)
  阅读下面短文,然后按照要求写一篇150词左右的英语短文。
  There was once a farmer who had a fine olive orchard. He was very hardworking, and the farm always prospered (蒸蒸日上) under his care. But he knew that his three sons did not like the farm work, and were eager to reach the goal at a single leap.
  When the farmer felt that his time had come to die, he called the three sons to him and said, “My sons, there is a pot of gold hidden in the olive orchard. Dig for it, if you wish it.” After the farmer was dead, the sons went to work to find the pot of gold.” Since they did not know where the hiding-place was, they agreed to begin in a line, at one end of the orchard, and to dig until one of them should find the money.   They dug until they had turned up the soil from one end of the orchard to the other, round the tree-roots and between them. But no pot of gold was to be found. It seemed as if someone must have stolen it, or as if the farmer had been wandering in his wits. The three sons were bitterly disappointed to have all their work for nothing. The next olive season, the olive trees in the orchard bore more fruit than they had ever given; when it was sold, it gave the sons a whole pot of gold.
  And when they saw how much money had come from the orchard, they suddenly understood what the wise father had meant when he said, “There is gold hidden in the orchard. Dig for it, if you wish it.”
  【写作内容】
  1. 以30个词概括上文的主要内容。
  2. 以约120个词就“Dig for it, if you wish it.”的话题谈谈你的想法,内容包括:
  ① 你对这句话的理解。
  ② 試举例说明。
  ③ 这个故事给你的启发。
  ______________________________________________________
  参考答案
  一、1—5 CACDC 6—10 ACBDB 11—15 CBCDD
  二、16—20 CBDCD 21—25 BCDBD26—30 ACBCA 31—35 CDDBC
  三、36—38 CDD 39—42 CDBD 43—45 CDB 46—50 DCDBD
  四、51. focus 52. meet / satisfy 53. personally 54. beyond 55. attract / mean 56. take
  57. sold / competed 58. used 59. owe / credit
  60. grow / develop / expand
  五、One possible version:
  The story narrates that a dying farmer instructed his three sons to dig for a pot of hidden gold in his orchard, through which they eventually understood their hardworking father’s intention.
  The story sets me thinking. We should be dedicated to the goal of life. However, it’s not uncommon in our life that there do exist many people who are dying to seek a fortune by virtue of luck rather than through steadfast diligence. Anyway, Rome is not built in one day.
  Once a young man, JiaZuosheng, who dropped out of middle school due to poverty, has had an unbelievable craze for English since his childhood. He took his position as a security officer at Tsinghua University, bearing the dream to hone English both at work and during the intervals. Though living in adversity, he eventually realized his dream.
  Just as an old saying goes, “You reap what you sow.” It is devotion and perseverance that pay off.
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一、單项填空(共15小题,每小题1分,满分15分)  1. The current situation is getting better, and Im convinced that economy will _______soon despite the trade war between China and America.  A. put upB. pick up  C. set upD.
摘 要:基于真实生活情境的综合实践类试题,体现能力与素养立意的命题导向。研学旅行、乡土考察、社会调查等是综合实践类试题的重要表现形式。综合实践类试题,具有情境的复杂性和真实性、问题的实践性和综合性、主题的时代性和人文性等一般性特征;“情境、问题、主题”构成试题的三大基本要素。“基于学生生活的环境,吸引学生参与的探究任务,一个有意义的实践主题”是综合实践活动真实、有效及意义所在。  关键词:真实生活
阅读下面的材料,根据要求写作。  河北省北部的塞罕坝曾是天然名苑,到了清末因开围放垦,至解放初期已经变成茫茫荒原。1962年以来,塞罕坝三代创业者以改善生态、造福京津为己任,在渺无人烟的不毛之地培育出112万亩人工林,创造了“沙漠变绿洲,荒原变林海”的人间奇迹。如今,塞罕坝每年为京津地区输送净水1.37亿立方米,释放氧气55万吨,成为守卫京津的重要生态屏障,阻沙涵水的“绿色长城”。  请结合材料内
模块九第一单元  一、词汇  1. occasion n. (P.9) ①[C]时刻,时节;②[C]重要的庆祝活动;③[U]场合,时机。如:  I’ve met with him on several occasions. 我已见过他好几次。  I bought a new dress just for the occasion. 就为这次活动,我买了一身新衣服。  The conference
函数的最值主要考查两个方面的问题:一是求解函数在区间上的最值;二是函数最值的综合应用,如实际应用题中最优解、不等式的恒成立问题及数列、解析几何中的最值问题等.  高考对求函数最值(最大值、最小值)的考查一直饶有兴趣,原因是求函数最值往往需要探求函数的定义域、奇偶性、单调性、周期性等,也需要调动各种数学的基本思想和方法,如配方法、换元法、数形结合法等.  一、单调性法  先确定函数的单调性,再利用单
在江苏新课标高考中,建立适当的空间直角坐标系,利用向量的坐标运算证明线线、线面、面面的平行与垂直,以及空间角(线线角、线面角、面面角)与距离的求解问题,历来是附加题命题的热点,难度中等,那么立体几何中的空间向量法主要涉及哪些问题呢?  一、利用空间向量证明平行與垂直  评注:这类问题的基本特征是:针对一个结论,条件未知需探索,或条件增删需确定,或条件正误需判断.解决这类问题的基本策略是:执果索因,
数列是高中数学的重要内容之一,在高考中的地位举足轻重.在近年来的江苏高考中,一直都把数列作为核心内容之一加以考查,并且创意不断,常考常新.了解高考中数列问题的命题规律,掌握高考中关于数列问题的热点题型及其解法,针对性地开展数列的二轮复习和训练,对于在高考中取得理想成绩具有十分重要的意义.  一、命题规律  纵观近几年江苏高考数学科《考试说明》,发现对数列的要求没有变化,都是:对数列的概念要求为A级