2014年1月北美sat真题_数学
SAT ESSAY真题完整版(截至2014年1月)
2005-031.Think carefully about the issue presented in the following excerpt andassignment below:We must seriously question the idea of majority rule. The majority grinned and jeered when Columbus said the world was round. The majority threw him into a dungeon for his discoveries. Where is the logic in the notion that the opinion held by a majority of people should have the power to influence our decisions?Adapted from James A. Reed, ―Majority Rule‖ASSIGNMENT: Is the opinion of the majority—in government or in anyother circumstances—a poor guide? Plan and write an essay in which youdevelop your point of view on this issue. Support your position with reasoningand examples taken from your reading, studies, experience, or observation.2.Think carefully about the issue presented in the following excerpt andassignment below:Given the importance of human creativity, one would think it should have a high priority among our concerns. But if we look at the reality, we see a different picture. Basic scientific research is minimized in favor of immediate practical applications. The arts are increasingly seen as dispensable luxuries. Yet as competition heats up around the globe, exactly the opposite strategy is needed.ASSIGNMENT: Is creativity needed more than ever in the world today?Plan and write an essay in which you develop your point of view on this issue.Support your position with reasoning and examples taken from your reading, studies, experience, or observation.3.Think carefully about the issue presented in the following excerpt andassignment below:Even scientists know that absolute objectivity has yet to be attained. It's the same for absolute truth. But, as many news reporters have observed, the idea of objectivity as a guiding principle is too valuable to be abandoned. Without it, the pursuit of knowledge is hopelessly lost.Adapted from ―Focusing Our V alues‖, Nieman ReportsASSIGNMENT: Are people better at making observations, discoveries,and decisions if they remain neutral and impartial?Plan and write anessay in which you develop your point of view on this issue. Support yourposition with reasoning and examples taken from your reading, studies, experience, or observation.4.Think carefully about the issue presented in the following excerpt andassignment below:If you think that what you do is your own business, you are wrong. In this world your conduct affects not only you but the conduct of other people as well. If you behave in a way that is considered unacceptable and other people copy your behavior, you are the consequences.Adapted from Margaret Banni ng, ―Letter to Susan‖ASSIGNMENT: Is a person responsible, through the example he or shesets, for the behavior of other people? Plan and write an essay in which youdevelop your point of view on this issue. Support your position with reasoningand examples taken from your reading, studies, experience, or observation.2005-051.Think carefully about the issue presented in the following excerpt andassignment below:It's easy to see why—aside from the income it provides—having a job is so desirable in our culture. Work works for us. It structures our time and imposes a rhythm on our lives. It gets us organized into various kinds of communities and social groups. And perhaps most important, work tells us what to do every day.Adapted from Joanne B. Ciulla, The Working LifeASSIGNMENT: Do people depend on work—whether it is a job, schoolwork, or volunteer work—to determine what their daily activitiesand interactions with others should be? Plan and write an essay in whichyou develop your point of view on this issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observation.2.Think carefully about the issue presented in the following excerpt andassignment below:There is no progress unless someone comes up with a new way of looking at things, of trying things that have never been done or thought of before. We cannot move forward by looking backward to old customs and past experience. There can be no advancement or improvement unless there are people who look forward in pursuit of the new and untried.ASSIGNMENT: Does progress depend on people with new ideas ratherthan on people whose ideas are based on the current way of doingthings? Plan and write an essay in which you develop your point of view on thisissue. Support your position with reasoning and examples taken from your reading, studies, experience, or observation.3.Think carefully about the issue presented in the following excerpt andassignment below:We are afraid that our cause is unjust, or that it is unclear, or that it is too insignificant to justify the horrors of a confrontation with Authority. We will endure almost any inconvenience before undertaking head-on, I'm-here-to-tell-you complaint.Adapted from William F. Buckley, Jr., ―Why Don't We Complain?‖ASSIGNMENT: Are people afraid to speak out against authority,whether the authority is an individual, a group, or a government? Planand write an essay in which you develop your point of view on this issue.Support your position with reasoning and examples taken from your reading, studies, experience, or observations.4.Think carefully about the issue presented in the following excerpt andassignment below:Alone we can afford to be wholly whatever we are and to feel whatever we feel absolutely. With others we are busy wondering what does my companion see or think of this, and what do I think of it? The original impact of our feelings gets lost or reduced.Adapted from May Sarton, The Rewards of Living a Solitary LifeASSIGNMENT: Does worrying too much about other people’s opinionsprevent us from seeing things clearly? Plan and write an essay in which youdevelop your point of view on this issue. Support your position with reasoningand examples taken from your reading, studies, experience, or observations.2005-061.Think carefully about the issue presented in the following excerpt andassignment below:Many persons believe that to move up the ladder of success and achievement, they must forget the past, repress it, and relinquish it. But others have just the opposite view. They see old memories as a chance to reckon with the past and integrate past and present.Adapted from Sara Lawrence-Lightfoot, I've Known Rivers: Lives of Loss and Liberation ASSIGNMENT: Do memories hinder or help people in their effort tolearn from the past and succeed in the present? Plan and write an essay inwhich you develop your point of view on this issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observation.2.Think carefully about the issue presented in the following excerpt andassignment below:I cannot comprehend those who emphasize or recognize only what is useful. I am concerned that learning for learning's sake is no longer considered desirable, that everything we do and think must be directed toward the solution of a practical problem. More and more we seem to try to teach how to make a good living and not how to live a good life.Adapted from Philip D. Jordan, ―The U sefulness of Useless Knowledge‖ASSIGNMENT: Do people put too much emphasis on learning practicalskills? Plan and write an essay in which you develop your point of view on thisissue. Support your position with reasoning and examples taken from your reading, studies, experience, or observation.3.Think carefully about the issue presented in the following excerpt andassignment below:Most of our schools are not facing up to their responsibilities. We must begin to ask ourselves whether educators should help students address the critical moral choices and social issues of our time. Schools have responsibilities beyond training people for jobs and getting students into college.Adapted from Svi ShapiroASSIGNMENT: Should schools help students understand moral choicesand social issues? Plan and write an essay in which you develop your point ofview on this issue. Support your position with reasoning and examples takenfrom your reading, studies, experience, or observation.4.Think carefully about the issue presented in the following excerpt andassignment below:The media not only transmit information and culture, they also decide what information is important. In that way, they help to shape culture and values.Adapted from Alison Bernstein, ―Artists Thrive on Freedom a nd Freedom Thrives on the Arts‖ASSIGNMENT: Do newspapers, magazines, television, radio, movies,the Internet, and other media determine what is important to mostpeople? Plan and write an essay in which you develop your point of view on thisissue. Support your position with reasoning and examples taken from your reading, studies, experience, or observation.2005-101.Think carefully about the issue presented in the following excerpt andassignment below:1.Success in life is largely a matter of luck. It has little correlation with merit. And in all fields of life therehave always been people of great merit who did not succeed.Karl Popper, Popper Selections2.As Colin Powell said, ―there are no secrets to success. Don’t waste time looking for them. Success is theresult of preparation, hard work, and learning from failure.‖Adapted from Barry Farber, ―Selling Points‖ASSIGNMENT: Is success in life earned or do people succeed becausethey are lucky? Plan and write an essay in which you develop your point ofview on this issue. Support your position with reasoning and examples takenfrom your reading, studies, experience, or observations.2.Think carefully about the issue presented in the following excerpt andassignment below:1.Celebrities have the power to attract ―communities‖of like-minded followers; they provide an identitythat people can connect to and call their own. Celebrities are trusted; they stand for certain ideas and values to which followers can express allegiance.Adapted from William Greider, Who Will Tell the People?2.Admiration for celebrities is often accompanied by contempt for ―average‖ people. As we focus on thefamous, other people become less important to us. The world becomes populated with a few ―some bodies‖ and an excess of ―near-nobodies.‖Adapted from Norman Solomon and Jeff Cohen, Wizards of Media OzASSIGNMENT: Is society’s admiration for famous people beneficial or harmful? Plan and write an essay in which you develop your point of view onthis issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observations.3.Think carefully about the issue presented in the following excerpt andassignment below:This is a time for shallowness. Seriousness is so rare these days that we tend to make all kinds of allowances for those who only seem to possess it. In this way, shallow ideas are not recognized for what they are, and they are increasingly mistaken for deep thoughts.Adapted from Margaret Talbot, ―The Perfectionist‖ASSIGNMENT: Do we live in a time when people do not engage inserious thinking? Plan and write an essay in which you develop your point ofview on this issue. Support your position with reasoning and examples takenfrom your reading, studies, experience, or observations.4.Think carefully about the issue presented in the following excerpt andassignment below:Nowadays nothing is private: our culture has become too confessional and self-expressive. People think that to hide one’s thoughts or feelings is to pretend not to have those thoughts or feelings. They assume that honesty requires one to express every inclination and impulse.Adapted from J. David V elleman, ―the Genesis of Shame‖ASSIGNMENT: Should people make more of an effort to keep somethings private? Plan and write an essay in which you develop your point ofview on this issue. Support your position with reasoning and examples takenfrom your reading, studies, experience, or observations.2005-111.Think carefully about the issue presented in the following excerpt andassignment below:Beauty is not a quality in people or in objects themselves. It exists in the mind that perceives those objects, and each mind perceives beauty differently. To seek real beauty, in some absolute sense, is pointless. Where one person sees beauty, another may even see the opposite. For this reason, we all ought to accept our own perceptions of who or what is beautiful, and not be influenced by the perceptions of others.Adapted from David H ume, ―Of the Standard of Taste‖ASSIGNMENT: Should our perceptions of beauty be influenced by the perceptions of beauty of other people? Plan and write an essay in which youdevelop your point of view on this issue. Support your position with reasoningand examples taken from your reading, studies, experience, or observation.2.Think carefully about the issue presented in the following excerpt andassignment below:There are situations where flattery is mandatory: The bride is always beautiful. If we look at someone's artwork, we are obliged to say something complimentary to the artist. If we visit someone with a new baby, we are required to say the infant is cute. In such situations, to say nothing is interpreted as rudeness. We compliment each other because we understand that flattery makes life run smoothly.Adapted from Richard Stengel, Y ou're Too Kind: A brief History of FlatteryASSIGNMENT: Is praising others, even if the praise is excessive or undeserved, a necessary part of life? Plan and write an essay in which youdevelop your point of view on this issue. Support your position with reasoningand examples taken from your reading, studies, experience, or observation.3.Think carefully about the issue presented in the following excerpt andassignment below:Conflict is not necessarily bad, and it does not necessarily indicate a failed interaction. It is a signal, a message that says, "Things aren't working around here. We've got to do something different." Thus, conflict can be a catalyst-a motivating force-encouraging people to interact and communicate in ways that are more satisfying. Conflict can actually benefit people by pushing them to make necessary changes.Adapted from Beverly Potter, From Conflict to CooperationASSIGNMENT: Is conflict helpful? Plan and write an essay in which youdevelop your point of view on this issue. Support your position with reasoningand examples taken from your reading, studies, experience, or observation.4.Think carefully about the issue presented in the following excerpt andassignment below:What explains our increasing obsession with money and the things it can buy? It seems as though the acquisition of money is gradually replacing real measures of success, such as integrity, honesty, skill, and hard work.Adapted from Alan Durning, ―Limiting Consumption: Toward a Sustainable Culture‖ASSIGNMENT: Has the acquisition of money and possessions replacedmore meaningful ways of measuring our achievements? Plan and writean essay in which you develop your point of view on this issue. Support yourposition with reasoning and examples taken from your reading, studies, experience, or observations.2005-121.Think carefully about the issue presented in the following excerpt andassignment below:We like to think that if someone has "the right stuff," he or she will naturally rise to the top. But it isn't true. In that same way that acting talent doesn't guarantee stardom, the capacity for leadership doesn't guarantee that one will run a corporation or a government. In fact, at least in our time, genuine achievement is not highly valued, and those who are skilled at achieving greatness are not necessarily those who are ready to lead.Adapted from Warren Bennis, On Becoming a LeaderASSIGNMENT: Are leaders necessarily people who are most capable of leadership? Plan and write an essay in which you develop your point of view onthis issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observations.2.Think carefully about the issue presented in the following excerpt andassignment below:How valuable is history for our generation? On the surface this question is not as easy as it once might have been, for there is a widespread belief that history may no longer be relevant to modern life. We live, after all, in an age that appears very different from the world that came before us.Adapted from Stephen Vaughn, ―History: Is It Relevant?‖ASSIGNMENT: Is knowledge of the past no longer useful for us today?Plan and write an essay in which you develop your point of view on this issue.Support your position with reasoning and examples taken from your reading, studies, experience, or observations.3.Think carefully about the issue presented in the following excerpt andassignment below:The free expression of thoughts and opinions is one of humanity's most precious rights. Every citizen must be able to speak, write, and publish freely, provided that he or she is held accountable for the abuse of this liberty in cases determined by the law.Adapted from Thomas Paine, Rights of ManASSIGNMENT: Is it necessary to limit or put restrictions on freedom ofthought and expression? Plan and write an essay in which you develop yourpoint of view on this issue. Support your position with reasoning and examplestaken from your reading, studies, experience, or observations.4.Think carefully about the issue presented in the following excerpt andassignment below:Progress is likely to slow down once science and technology have met our basic human needs. New developments in science and technology will not continue to produce more societal benefits. In fact, the promise that science and technology will continue to benefit us is increasingly doubtful when so many individuals find their lives changing in ways they cannot control and in directions they do not desire.Adapted from Daniel Sarewitz, ―So cial Change and Science Policy‖ASSIGNMENT: Do the benefits of scientific and technological developments come at the cost of undesirable changes to people's lives?Plan and write an essay in which you develop your point of view on this issue.Support your position with reasoning and examples taken from your reading, studies, experience, or observations.2006-011.Think carefully about the issue presented in the following excerpt andassignment below:A colleague of the great scientist James Watson remarked that Watson was always ―lounging around, arguing about problems instead of doing experiments.‖ He concluded that ―there is more than one way of doing good science.‖ It was Watson’s form of idleness, the scientist went on to say, that allowed him to solve ―the greatest of all biological problems: the discovery of the structure of DNA.‖It is a point worth remembering in a society overly concerned with efficiency.Adapted from John C. Polanyi, ―Understanding Discovery‖ASSIGNMENT: Do people accomplish more when they are allowed to dothings in their own way? Plan and write an essay in which you develop yourpoint of view on this issue. Support your position with reasoning and examplestaken from your reading, studies, experience, or observations.2.Think carefully about the issue presented in the following excerpt andassignment below:I do not feel terrible about my mistakes, though I grieve the pain they have sometimes caused others. Our lives are ―experiments with truth,‖ and in an experiment negative results are at least as important as successes. I have no idea how I would have learned the truth about myself and my calling without the mistakes I have made.Adapted from Parker Palmer, Let Y our Life SpeakASSIGNMENT: Is it necessary to make mistakes, even when doing sohas negative consequences for other people? Plan and write an essay inwhich you develop your point of view on this issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observations.3.Think carefully about the issue presented in the following excerpt andassignment below:An actor, when his cue came, was unable to move onto the stage. He said, ―I can’t get in, the chair is in the way.‖And the producer said, ―Use the difficulty. If it’s a drama, pick the chair up and smash it. If it’s a comedy, fall over it.‖ From this experience the actor concluded that in any situation in life that is negative, there is something positive you can do with it.Adapted from Lawrence Eisenberg, ―Caine Scrutiny‖ASSIGNMENT: Can any obstacle or disadvantage be turned into something good? Plan and write an essay in which you develop your point ofview on this issue. Support your position with reasoning and examples takenfrom your reading, studies, experience, or observations.4.Think carefully about the issue presented in the following excerpt andassignment below:Every important discovery results from patience, perseverance, and concentration--sometimes continuing for months or years--on one specific subject. A person who wants to discover a new truth must remain absorbed by that one subject, must pay no attention to any thought that is unrelated to the problem.Adapted from Santiago Ramon Cajal, Advice for a Y oung InvestigatorASSIGNMENT: Are all important discoveries the result of focusing onone subject? Plan and write an essay in which you develop your point of viewon this issue. Support your position with reasoning and examples taken fromyour reading, studies, experience, or observation.2006-041.Think carefully about the issue presented in the following excerpt andassignment below:Inconsistency is commonly thought to be an undesirable personality trait, and inconsistent people are viewed as indecisive and weak willed. On the other hand, firm commitment to an idea or plan of action is associated with personal and intellectual strength, stability, and honesty. Thus, once we have made a choice or taken a stand, it is best not to change.Adapted from Robert B. Cialdini, Influence: How and Why People Agree to ThingsASSIGNMENT: Is it best not to change our ideas, opinions, or behaviors?Plan and write an essay in which you develop your point of view on this issue.Support your position with reasoning and examples taken from your reading, studies, experience, or observation.2.Think carefully about the issue presented in the following excerpt andassignment below:A teenager challenges everything and, by forming habits of intellectual and emotional independence, makes himself or herself into an adult. In a similar way, all people can learn the behaviors that they need to become the people they want to be. We can all change ourselves—our behaviors, our goals, our relationships—because our potential for change is unlimited.Adapted from Richard Stiller, HabitsASSIGNMENT: Is our ability to change ourselves unlimited, or are therelimits on our ability to make important changes in our lives? Plan andwrite an essay in which you develop your point of view on this issue. Supportyour position with reasoning and examples taken from your reading, studies, experience, or observation.3.Think carefully about the issue presented in the following excerpt andassignment below:It is widely believed that people do their best work when they are promised rewards for their achievements. Our schools and workplaces operate on the assumption that good work occurs when people are competing for grades, money, or recognition from others. In truth, the prospect of rewards provided by others can inhibit and limit people's drive and creativity. People do their best work when motivated from within by their enjoyment of a particular challenge and their satisfaction in doing something well.ASSIGNMENT: What do you think motivates people to do their best?Plan and write an essay in which you develop your point of view on this issue.Support your position with reasoning and examples taken from your reading, studies, experience, or observation.4.Think carefully about the issue presented in the following excerpt andassignment below:Young people should have the right to control and direct their own learning—that is, to decide what they want to learn, when, and where. If we take from someone his or her right to decide what to be curious about, we destroy that person's freedom of thought. We say, in effect, "You must think about what interests and concerns us, not you."Adapted from John Holt, ―The R ight to Control One's Learning‖ASSIGNMENT: Should each individual decide what and how to learn?Plan and write an essay in which you develop your point of view on this issue.Support your position with reasoning and examples taken from your reading, studies, experience, or observation.2006-051.Think carefully about the issue presented in the following excerpt andassignment below:Some people claim that each individual is solely responsible for what happens to him or her. But the claim that we ought to take absolute responsibility for the kinds of people we are and the kinds of lives we lead suggests that we have complete control over our lives. We do not. The circumstances of our lives can make it more or less impossible to make certain kinds of choices.Adapted form Gordon D. Marino, ―I think You Should Be Responsible; Me, I’m not so Sure‖ASSIGNMENT: Are we free to make our own decisions or are we limitedin the choices we can make? Plan and write an essay in which you developyour point of view on this issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observation.2.Think carefully about the issue presented in the following excerpt andassignment below:Certainly anyone who insists on condemning all lies should think about what would happen if we could reliably tell when our family, friends, colleagues, and government leaders were deceiving us. It is tempting to think that the world would become a better place without the hand, perhaps there is such a thing as too much honesty.Adapted from Allison Kornet, ―The Truth About Lying‖ASSIGNMENT: Would the world be a better place if everyone alwaystold the complete truth? Plan and write an essay in which you develop yourpoint of view on this issue. Support your position with reasoning and examplestaken from your reading, studies, experience, or observation.3.Think carefully about the issue presented in the following excerpt andassignment below:It is not that people dislike being part of a community; it is just that they care about their individual freedoms more. People value neighborliness and social interaction—until being part of a group requires them to limit their freedom for the larger good of the group. But a community or group cannot function effectively unless people are willing to set aside their personal interests.Adapted from Warren Johnson, The Future Is Not What It Used To BeASSIGNMENT: Does the success of a community—whether it is a class,a team, a family, a nation, or any other group—depend upon people's willingness to limit their personal interests? Plan and write an essay inwhich you develop your point of view on this issue. Support your position with reasoning and examples taken from your reading, studies, experience, or observation.4.Think carefully about the issue presented in the following excerpt andassignment below:There is an old saying: "A person with one watch knows what time it is; a person with two watches isn't so sure." In other words, a person who looks at an object or event from two different angles sees something different from each position. Moreover, two or more people looking at the same thing may each perceive something different. In other words, truth, like beauty, may lie in the eye of the beholder.Adapted from, Gregory D. Foster, ―Eth ics: Time to Revisit the Basics‖ASSIGNMENT: Does the truth change depending on how people look atthings? Plan and write an essay in which you develop your point of view on thisissue. Support your position with reasoning and examples taken from your reading, studies, experience, or observation.2006-061.Think carefully about the issue presented in the following excerpt and。
美国“高考”SAT考试的数学题
美国“高考”SAT考试的数学题数学第一部分时间(25分钟）16个问题说明：这部分包含有两种类型的问题。
你将有25分钟时间来完成他们.对于1-8，在所给选项中选出一个最佳答案，然后再答题卡上填上相应的圆圈，你可以使用任何可用的草稿纸空间。
注释：1、可以使用计算器。
2、所有使用的数字均为实数。
3、在测试中，问题中所提供的数字或图表都包含一定的信息，这对于解题很有帮助。
所有图表都是比较准确的,除非在某些具体问题中，图表没有按比例绘制。
所有数字都呈现于平面上，除非另有说明。
4、除非另有规定,对于任何函数f 的值域都是所有实数x 的集合，并使得f（x) 是实数。
可能用到的公式:1、If 4（t+u）+ 3 =19，then t+u=如果4（t+u）+ 3 =19, 那么t+u=A 3B 4C 5D 6E 72、如图，三条直线相交于一点。
如果f=85，e=25，那么a 的值是多少?A 60B 65C 70D 75E 853、如果玛丽开车行驶n 英里用了t 小时，那么下列哪个可以表示她行驶的平均速度，英里/小时?A n/tB t/nC 1/ntD ntE n²t4、如果a 是一个奇数，b 是一个偶数，那么选项中哪一个是奇数?A 3bB a+3C 2（a+b）D a+2bE 2a+b5、在平面坐标内，F(—2，1),G(1,4)，H（4,1)在以P为圆心的圆上，那么点P的坐标是什么？A（0,0）B(1,1）C（1,2）D（1,—2)E(2.5,2.5）6、如图,如果-3≤x≤6，那么x 有几个值,使得f(x）=2?A 零B 一个C 两个D 三个E 三个以上7、如果t 和t+2 的算术平均值是x, t 和t-2的算术平均值是y，那么x 和y 的算术平均值是多少？A 1B 1/2C tD t+1/2E 2t8、对于任何数x 和y,假设x△y=x²+xy+y²，那么（3△1）△1等于多少？A 5B 13C 27D 170E 1839、摩根的植物在一年之内从42厘米长到57厘米。
2014年1月份SAT考试真题(回忆版)
2014年1月份SAT考试真题（回忆版）本次考试整体难度适中，没有特别的偏题和难题出现，作文也是中规中矩的创新和守旧话题。
在阅读部分，文章难度都比较适中，没有超过我们在平时给同学们训练时使用的材料难度，尤其是长对比文章，比平时训练的要简单不少。
数学：但是此次考试中的数学考察比以前要更加灵活，对考生要求更高。
比如说考到了函数图像的对称、一次函数线性规划、圆内三角形，对整数的奇偶性、表格式函数，指数函数的考察仍然遵循了以前的模式，甚至有一些题目与历年真题中的形式几乎一模一样，只是稍微做了数字和形式的变换。
本次填空考试中考察到的一些重点词汇：abrasiveness\acclaim\accuse\affable\ameliorate\antipathy archaic\assiduous\bias\blunder\camouflage\candid\chicanerycliche\coax\composed\copious\decry\demeanor\dissenrning eccentric\fidelity\gullible\haughty阅读部分内容如下：第一个长篇讲的是一个叫Aju的人，有一次去访问一个最近认识的朋友，在她那里他发现了一本旧书，而这本书正是Aju的舅舅，也是他的养父送给这个朋友的父亲的，Aju显得非常激动，而女士则显得十分淡定，文章主要描述的就是这种态度上的巨大差异。
第二篇长篇讲的是一个考古学家，和一群朋友一起去沙漠深处探险。
在有一个地方，他们发现了水源，而且有巨大的石洞可供居住，于是作者选择在这里舒适地呆一下午，本来打算看看书的他发现了一个制作精巧的石头，很明显是古人留下的，他因此想到了这些古人当年可能的生活。
最后开始了他对于生活的思考，他区分了两个概念“wants”和“needs”，一个是欲望，一个是需求，主要表达的是活在当下，节制欲望的主题，表达作者对于简单生活的向往和渴望。
2014年AMC_12真题 (B)
(C)
75 2
(D) 40
(E)
300 7
4. Susie pays for 4 muffins and 3 bananas. Calvin spends twice as much paying for 2 muffins and 16 bananas. A muffin is how many times as expensive as a banana?
15. When p 6 , the number e p is an integer. What is the largest power of 2 that is k 1k ln k a factor of e p ? (A) 212 (B) 214 (C) 216 (D) 218 (E) 220
r and s such that the line through Q with slope m does not intersect P if and only if r < m < s. What is r + s? (A)1 (B)26 (C)40 (D)52 (E)80
18. The numbers 1, 2, 3, 4, 5 are to be arranged in a circle. An arrangement is bad if it is not true that for every n from 1 to 15 one can find a subset of the numbers that appear consecutively on the circle that sum to n. Arrangements that differ only by a rotation or a reflection are considered the same. How many different bad arrangements are there? (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
2014年 AMC 12A真题含答案
2014AMC12AProblem1What is下列式子的值是多少Problem2At the theater children get in for half price.The price for adult tickets and child tickets is.How much would adult tickets and child tickets cost?在剧院，儿童票半价，已知5张成人票和4张儿童票的总价是24.5元，问8张成人票和6张儿童票需要多少元？Problem3Walking down Jane Street,Ralph passed four houses in a row,each painted a different color.He passed the orange house before the red house,and he passed the blue house before the yellow house. The blue house was not next to the yellow house.How many orderings of the colored houses are possible?当Ralph走过Jane街时，她经过了一排4座楼房，每座楼房都涂有不同的颜色。
她先经过桔色的房子，再经过红色房子，她先经过蓝色房子，再经过黄色房子，蓝色房子不和黄色房子相邻，这4个涂色的房子有多少种可能的排列方法？Problem4Suppose that cows give gallons of milk in days.At this rate,how many gallons of milkwill cows give in days?假设a头牛c天内产出b加仑的牛奶，以这样的速度计算，d头牛在c天内会产出多少加仑的牛奶？Problem5On an algebra quiz,of the studentsscored points,scored points,scored points,and the rest scored points.Whatis the difference between the mean and median score of the students'scores on this quiz?在一次代数测试中，10％的学生得了70分，35％的学生得了80分，30％的学生得了90分，剩下的得了100分，问这次考试学生分数的平均数和中位数的差是多少？Problem6The difference between a two-digit number and the number obtained by reversing its digits is timesthe sum of the digits of either number.What is the sum of the two digit number and its reverse?一个两位数与将这两位上的数字交换位置所得的新的两位数，它们的差是新旧两位数其中之一的各个位上数字之和的5倍，问原来的两位数和各位交换数字后所得新的两位数之和是多少?Problem7The first three terms of a geometric progression are,,and.What is the fourth term?一个等比数列的前3项是，和，问第4项是多少?Problem8A customer who intends to purchase an appliance has three coupons,only one of which may be used: Coupon1:off the listed price if the listed price is at leastCoupon2:dollars off the listed price if the listed price is at leastCoupon3:off the amount by which the listed price exceedsFor which of the following listed prices will coupon offer a greater price reduction than eithercoupon or coupon?一位想要买家电的顾客有3张优惠券，但只能用其中1张：优惠券1:如果标价最低是50元，那么标价降低10％优惠券2:如果标价最低是100元，那么标价降低20美元优惠券3:标价超过100元的部分，降低18％对于下面哪个标价，使用优惠券1会比使用优惠券2或3都划算？Problem9Five positive consecutive integers starting with have average.What is the averageof consecutive integers that start with?以a开头的5个连续的正整数的平均值是b，那么以b开头的5个连续的整数的平均值是多少？Problem10Three congruent isosceles triangles are constructed with their bases on the sides of an equilateral triangle of side length.The sum of the areas of the three isosceles triangles is the same as the area of the equilateral triangle.What is the length of one of the two congruent sides of one of the isosceles triangles?以边长为1的等边三角形的三条边分别为底，作出3个全等的等腰三角形，这三个等腰三角形的面积之和与这个等边三角形的面积相等，那么其中一个等腰三角形的一条腰长是多少？Problem11David drives from his home to the airport to catch a flight.He drives miles in the first hour,butrealizes that he will be hour late if he continues at this speed.He increases his speed by milesper hour for the rest of the way to the airport and arrives minutes early.How many miles is theairport from his home?David从他家开车到机场去坐飞机，他在第一小时开了35英里，但是意识到如果继续按照这个速度开车，会迟到1小时，剩下的路程他把车速增加了15英里每小时，结果提前了30分钟到达，问从他家到机场有多少英里？Problem12Two circles intersect at points and.The minor arcs measure on one circle and onthe other circle.What is the ratio of the area of the larger circle to the area of the smaller circle？两个圆交于点A和点B，劣弧AB在其中一个圆上的度数是30°，在另一个圆上的度数是60°，问大圆和小圆的面积之比是多少?Problem13A fancy bed and breakfast inn has rooms,each with a distinctive color-coded decor.Oneday friends arrive to spend the night.There are no other guests that night.The friends can room inany combination they wish,but with no more than friends per room.In how many ways can theinnkeeper assign the guests to the rooms?一家高档的旅馆有5个房间，每个房间的颜色装饰都不同。
2014年SAT考试数学模拟试题及答案
2014年SAT考试数学模拟试题及答案SAT考试数学练习题SAT Math Practice Test 11. Of the following, which is greater than ?A. 2/5B. 4/7C. 4/9D. 5/11E. 6/132. If an object travels at five feet per second, how many feet does it travel in one hour?A. 30B. 300C. 720D. 1800E. 180003. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?B. 95C. 100D. 105E. 1104. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?A. 48B. 32C. 24D. 18E. 125. In a class of 78 students 41 are taking French, 22 are taking German and 9 students are taking both French and German. How many students are not enrolled in either course?A. 6B. 15C. 24D. 33E. 546. If f(x) = │(x2 –50)│, what is the value of f(-5) ?B. 25C. 0D. -25E. -757. ( √2 - √3 )2 =A. 5 - 2√6B. 5 - √6C. 1 - 2√6D. 1 - √2E. 18. 230 + 230 + 230 + 230 =A. 8120B. 830C. 232D. 230E. 2269. Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (butnot more than once through each) and not travelling any road twice on the same trip?A. 10B. 8C. 6D. 4E. 210. In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ?A. 18B. 13.5C. 9D. 4.5E. 3SAT考试数学练习题SAT Math Practice Test 1参考答案1.Correct Answer: BExplanation:One way to deal with fractions is to convert them all to decimals. (Using your calculator, divide the numerator by the denominator).In this case all you would needd to do is to see which is greater than 0.5.Otherwise to see which is greater than ?, double the numerator and see if the result is greater than the denominator. In B, the correct answer, doubling the numerator gives us 8, which is bigger than 7.2.Correct Answer: EExplanation:If an object travels at 5 feet per second it covers 5x60 feet in one minute, and 5x60x60 feet in one hour. Answer = 18000(E)3.Correct Answer: CExplanation:You could add up all the multiples of 10 (10 + 20 + 30 ....+190), and divide by the number of terms (19). Or you could realize that the average of an evenly spaced series of numbers is equal to the value of the middle term (or the average of the two middle terms if there are an even number of terms). The middle term out of 19 is the tenth term in the series = 100.4.Correct Answer: AExplanation:If you double the sides of a cube, the ratio of the surfaceareas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.5.Correct Answer: CExplanation:You could solve this by drawing a Venn diagram. A simpler way is to realize that you can subtract the number of students taking both languages from the numbers taking French to find the number taking only French. Likewise find those taking only German. Then we have:Total = only French + only German + both + neither78 = (41-9) + (22-9) + 9 + neither.Not enrolled students = 246.Correct Answer: BExplanation:If x = -5, then (x2 –50) = 25 –50 = -25But the sign │x│means the absolute value of x (the distance between the number and zero on the number line). Absolute values are always positive.│-25 │= 257.Correct Answer: AExplanation:Expand as for (a + b)2.(√2 - √3)(√2 - √3) = 2 - 2(√2 + √3) + 3 = 5 - 2 √68.Correct Answer: CExplanation:All four terms are identical therefore we have 4 (230).But 4 = 22, and so we can write 22. 230Which is equivalent to 2329.Correct Answer: BExplanation:Amy can travel clockwise or anticlockwise on the diagram.Clockwise, she has no choice of route from A to B, a choice of one out of two routes from B to C, and a choice of one out of two routes from C back to A. This gives four possible routes.Similarly, anticlockwise she has four different routes.Total routes = 810.Correct Answer: DExplanation:If we take AE as the base of triangle AEC, then the height is CD.The height of the triangle is therefore, 9 (given).To find the base we need to see that triangles AEB and CDE are similar. The ratio AB: CD, is therefore equal to the ratio AE: ED. The given information shows that the ratio is 3:9, or 1:3. Now dividing AD (4) in this ratio gives us AE as 1.The area of AEC = base x height=1/2 x 9 = 4.5。
2014年1月SAT北美真题 语法部分
14年1月SAT语法——北美卷Section 51. While playing in the park one morning, a loud argument was gotten into by several ofthe children over the use of the swings.A. a loud argument was gotten into by several of the childrenB. a loud argument between several of the children was gotten intoC. and a loud argument gotten into by several of the childrenD. several of the children getting into a loud argumentE. several of the children got into a loud argument2. Vitamin D, which the body needs in order to absorb calcium, is produced when skin isexposed to ultraviolet rays.A. calcium, is producedB. calcium, and is producedC. calcium, producing itD. calcium and producesE. calcium and produces it3. Designing a computer monitor requires not only an understanding ofelectromagnetism, chemistry, and the psychology of human vision.A. not only an understanding ofB. both an understanding ofC. an understanding of not onlyD. an understanding of bothE. an understanding of4. Edgar Allan Poe’s poem “The Raven,” partly inspired by a talking raven in the novelBarnaby Rudge by Charles Dickens. 逗号问题A. Edgar Allan Poe’s poem “The Raven,”B. Edgar Allan Poe, whose poem “The Raven” wasC. A poem by Edgar Allan Poe, “The Raven,” which wasD. “The Raven” by Edgar Allan Poe, being a poemE. “The Raven,” a poem by Edgar Allan Poe, was5. Unlike coniferous trees, whose leaves are usually needlelike, the leaves of deciduoustrees are typically broad and flat.A. the leaves of deciduous trees are typically broad and flatB. it is typical for the leaves of deciduous trees to be broad and flatC. broad and flat leaves are typical of deciduous treesD. deciduous trees have leaves that are typically broad and flatE. on deciduous trees, the leaves are typically broad and flat6. Even choosing the least expensive rate, the package was so heavy that it cost Josénearly a hundred dollars to mail it to his cousin in Madrid.A. Even choosingB. Even though choosingC. Even though he chose 为了表达句意，主句主语和从句主语可以不一致D. Although he had choseE. Although choosing7. An early American film star, Pearl White starred in several serials whose episodeshad suspenseful endings that enticed audiences to return for the next installment.A. serials whose episodes had suspenseful endingsB. serials, their episodes had suspenseful endingsC. serials, which had episodes ending suspensefulD. serials of whose episodes the suspenseful endingsE. serials, each of these episodes had a suspenseful ending最后一个词一定是endings所以排除CDE8. Although we typically associate deserts with hot, dry weather, deserts can also becold, most of Antarctica is a desert despite the continent’s frigid temperatures.A. cold, most of Antarctica isB. cold; most of Antarctica isC. cold, in fact, most of Antarctica isD. cold; whereas most of Antarctica isE. cold, such as most of Antarctica being9. One reason fish spoils faster than meat is due to the fact that the muscle fibers of fishare specialized to function best in cold environments.A. meat is due to the fact thatB. meat is because of the fact thatC. meat, which is becauseD. meat is thatE. meat, since10. The Canada lynx猞猁has oversized, webbed paws that act as snowshoes, allowingthem to hunt rabbits even when the snow is deep.A. allowing them to hunt rabbits evenB. allowing it to hunt rabbits evenC. even allowing them to hunt rabbitsD. which allow them to hunt rabbits evenE. this allows it to hunt rabbits evenSVO，doing. Doing修饰句子本体是结果状语11. The article praised Isak Dinesen not so much for her genius as a storyteller butbecause she was remarkably defiant of society’s expectations of women during the early twentieth century.A. but because she was remarkably defiantB. but because of her remarkable defianceC. but for being remarkably defiantD. as for her remarkable defianceE. as it did her remarkable defiance12. While candidates for political office think carefully (A) about the way they dress forpublic appearances, but they (B)generally do not want to appear (C) to care too much (D) about clothes. No error (E)13. The professor urged (A) her students to follow (B) their own career interests, to servetheir communities, and believing in (C) the power of their (D) own ideas. No error (E)14. Karting, or the racing of (A) miniature automobiles called karts, originate (B)in theUnited States in the 1950s after (C) a famous race-car builder developed a kart powered by (D) a lawn-mower engine. No error (E)15. Living in (A) the rain forests of northeastern Madagascar, Iemurs called sikly sifakasare local known (B) as “ghosts of the forest” because of (C) their (D) fast movements and bone-white fur. No error (E)16. For thousands of years the inhabitants of (A) Australia have been (B) diggingunderground water reservoirs in order for surviving (C) on one of the world’s driest (D) continents. No error (E)17. When the finalists in (A) the essay contest receive their (B) scholarships at (C) theawards ceremony, the first-place winner was also given (D) a computer. No error (E)18. Both Serena, who has just been (A) elected president of the union, and (B) Martin, itstreasure, attends (C) the weekly meetings of (D) the labor council. No error (E)19. Although (A) artificially intelligent machines can now (B) beat humans at chess, theycannot outperform (C) humans at practical tasks such as (D) folding laundry, cooking ,and caring for pets. No error (E)20. When one thinks about opening (A) a new business,you (B)must consider (C)factors such as (D) start-up costs, local competition, and customer demand. No error(E)21. Automatic photo booths that were (A) invented after the discovery of an automatedphotographic process that eliminated (B) the need (C) not only for negatives but also for (D) camera operators. No error (E)22. Faced with (A) the ever-challenging task of balancing (B) school and work, Jillianopted to (C) forego taking a second part-time job and focusing(D) on her studies instead. No error (E)补充知识点forgo+sth/doing sth23. During her (A) lifetime, M.S. Subbulakshmi was considered one of (B) India’s greatestsingers, and the recordings she made (C) has secured (D) her reputation for future generations. No error (E)have secured24. If the proposals approved by (A) the city council at its (B) most recent meeting cometo fruition (C), several derelict buildings will see new life after years of neglect (D). No error (E)years of neglect 固定搭配25. In 1999 researchers proposed (A) the theory that octopuses engage in (B) play, thedeliberate, repeated, seeming useless (C)activity through which (D) intelligent animals explore their world and refine their skills. No error (E)26. Consisting of (A) sixty-nine photographs she took of herself (B) posing insettings resembling those of (C) old movies, the Untitled Film Stills series repelled (D) Cindy Sherman to artistic fame. No error (E)Propel 褒义的根据词根推27. You might think that because they are (A) beautiful, peacocks would make a pleasantpet (B), but in fact their loud, unearthly (C) shrieks are very disturbing (D). No error(E)28. For my roommates and I (A) to reduce (B) the amount of trash we threw out eachweek, we had to resolve to stop making (C) so many unnecessary purchases (D) in the first place. No error (E)29. That (A) the director won an Academy Award for his most recent (B) movie surprisedthose of us who felt that the film was far inferior (C) to those made by several of his competitors for (D) the coveted prize. No error (E)(1) When Pluto was first detected in 1930, it was welcomed as a newly discovered planet. (2) Their reaction was understandable. (3) Pluto was initially thought to be about the size of Earth and therefore of proper planetary dimensions. (4) But by the late 1970s, closer observation had established that Pluto was in fact less than half the size of Mercury.(5) Dismayed, some astronomers now begin to question whether so small an object deserved to be ranked among the planets.(6) Pluto differs from the other planets also in that it is composed largely of ice—more like a comet than a typical planet. (7) In the 1990s it was discovered that Pluto was just the largest of hundreds of comet-like bodies occupying a region known as the Kuiper Belt.(8) Pluto, the doubters argued, should therefore be classed with these icy objects rather than with the planets.(9) Rushing to Pluto’s defense, many astronomers rejected these arguments, pointing out that the established planets differ among themselves in both composition an d size. (10) Mars, for instance, is composed of metal and rock, while Neptune is mostly gas.(11) Why, then, could a planet not just as well be composed of ice? (12) And as for size difference, Jupiter is 1300 times larger than Earth, but no one would sugg est that the two bodies therefore cannot both be planets.(13) Clearly they need to resolve the issue of Pluto’s classification. (14) In 2006 the International Astronomical Union defined a planet as a body that directly orbits the Sun, is large enough to be rounded by its own gravity, and has cleared its neighboring region of other orbiting bodies. (15) Pluto was judged to satisfy the first two criteria but not the third, because of all the Kuiper Belt objects populating its neighborhood.30. In context, which of the following is the best version of the underlined portion ofsentence 1 (reproduced below) ?When Pluto was first detected in 1930, it was welcomed as a newly discovered planet.A. (as it is now)B. it was a newly discovered planet and welcomed as suchC. being a newly discovered planet, it was welcomedD. the newly discovered planet was also welcomed by astronomersE. astronomers welcomed it as a newly discovered planet31. In context, which of the following revisions of the underlined portion ofsentence 4 (reproduced below) would add the most relevant information?But by the late 1970s, closer observation had established that Pluto was in fact less than half the size of Mercury.A. Mercury, the planet closest to the SunB. Mercury, the smallest of the traditional planetsC. Mercury, which was named for a Roman messenger godD. Mercury, which was discovered in ancient timesE. Mercury, whose atmosphere is too thin to support human life加入相关信息32. Which of the following sentences, if inserted immediately before sentence 6, wouldprovide the most effective transition between the first and second paragraphs?A. Pluto’s anomalous size was not the only source of doubt.B. This was not the first time that a planet’s status had been called into question.C. Such scientific disputes can become surprisingly heated.D. The question of who deserves credit for a scientific discovery is sometimesdifficult to settle.E. Many were shocked at the suggestion that Pluto was not really a planet.33. In context, which of the following is the best revision of the underlined portion ofsentence 7 (reproduced below) ?In the 1990s it was discovered that Pluto was just the largest of hundreds of comet-like bodies occupying a region known as the Kuiper Belt.A. In the 1990s, however,B. In the 1990s, by comparison,C. In fact, in the 1990sD. Similarly, in the 1990sE. Consequently, in the 1990s句首加逻辑词34. In context, which of the following is the best version of the underlined portion ofsentence 13 (reproduced below) ?Clearly they need to resolve the issue of Pluto’s classification.A. (as it is now)B. the public needsC. something was neededD. further observations were neededE. a precise definition of planethood was neededplanethood 行星定义35. Which of the following sentences, if placed immediately after sentence 15, would bestconclude the passage?A. Pluto’s discovery, Clyde T ombaugh, had died in 1997 and so did not live to seehis beloved planet demoted.B. Ceres and Pallas had undergone a similar demotion in the nineteenth centurywhen they were reclassified as asteroids rather than planets.C. Ultimately, then, Pluto was demoted from planetary status not because of itssmall size but because of the close company it keeps.D. This was perhaps the most momentous decision that the InternationalAstronomical Union had made in its 87-year history.E. Nonetheless, supporters of Pluto point out that it has more moons than Mars,Earth, Venus, or Mercury.Section 101. In 1997, the ThrustSSC, a British-made car powered by two jet engines, havebecome the first land-traveling vehicle to break the sound barrier.A. have becomeB. were to becomeC. becomingD. becomeE. became2. Some of the novels for which Laura Esquivel has received the greatest criticalacclaim and are examples of the literary style known as magical realism.A. acclaim and areB. acclaim areC. acclaim,D. acclaim, they areE. acclaim, which are3. Mother’s Day is celebrated in a number of nations, but the date on which they falldiffers from one nation to another.A. on which they fall differsB. on which it falls differsC. which it falls on differingD. on which they fall is differentE. which they fall on being different4. A self-taught artist, the pottery of Lucy M. Lewis has been featured in many museums,including the Smithsonian Institution and the National Museum of the American Indian.A. A self-taught artist, the pottery of Lucy M. Lewis has been featuredB. A self-taught artist, they featured the pottery of Lucy M. LewisC. A self-taught artist, Lucy M. Lewis’s pottery has been featuredD. The pottery of Lucy M. Lewis, a self-taught artist who has been featuredE. The pottery of Lucy M. Lewis, a self-taught artist, has been featured5. The museum acquired a dozen paintings from two private donors who were an arthistory professor at the local university.A. who were an art history professorB. who was each an art history professorC. who were both art history professorsD. both of whom were an art history professorE. which were both an history professors6. To attract prey, a fish known as the red grouper restructures the ocean floor, diggingholes to create the type of environment favored by small fish and spiny lobsters.A. digging holes to createB. digging holes createsC. digging holes createD. it digs holes creatingE. they did holes to create表示补充说明的状语只有by doing 表示方式7. Built on the banks of the Mississippi River, it is often so humid in the city of Memphisduring the summer that the air feels like steam.A. it is often so humid in the city of Memphis during the summer that the air feelslike steamB. the city of Memphis is often so humid during the summer that the air feels likesteamC. the city of Memphis, which is often so humid that the air feels like steam duringthe summerD. during the summer the city of Memphis is often so humid to where the air feelslike steamE. summer in the city of Memphis is often so humid that the air feels like steam8. Dinosaurs captured the public’s attention in the nineteenth century, and the scientistswhich found and will study dinosaurs fossils were highly esteemed.A. and the scientists which found and will studyB. and the scientists who found and studiedC. the scientists who found and studiedD. the scientists finding and studyingE. also the scientists which found and studied9. The topography of the Ozark Mountains, having been shaped by the dissolution oflimestone and other types of soluble rock, feature hundreds of geological wonders.A. rock, featureB. rock, and featureC. rock, featuringD. rock, featuresE. rock to feature10. In the early twentieth century, Modernist novelists such as James Joyce and VirginiaWoolf experimented with literary form and narrative technique more than preceding centuries did.A. more than preceding centuries didB. more than writers of preceding centuries didC. more than that in preceding centuriesD. to a greater extent than preceding centuriesE. to an extent greater than novels of preceding centuries11. The stories Alex Haley heard as a youth inspired him to investigate his maternalancestry and using his findings to write his highly successful novel, Roots.A. ancestry and using his findingsB. ancestry and his findings were used by himC. ancestry, he used his findingsD. ancestry, and he used his findingsE. ancestry, whose findings were used12. The Jiaozhou Bay Bridge is among the longest bridge in the world; located in easternChina’s Shandong province, it crosses Jiaozhou Bay, connecting the port city of Qingdao to the island of Huangdao.A. world; located in eastern China’s Shandong province, it crossesB. world, located in eastern China’s Shandong province, it crossesC. world and is located in eastern China’s Shandong province, it crossesD. world, it is located in eastern China’s Shandong province, crossingE. world; located in eastern China’s Shandong province, crossing13. Textile production has a serious environmental impact, it consumes a significantamount of all the water used worldwide.A. it consumesB. its consumption isC. this consumesD. consumingE. it has consumed补充说明14. Given that goats and sheep were domesticated earlier than cattle, it is thought thatthe production of cheeses made from goat’s and sheep’s milk predate that of cheese made from cow’s milk.A. predate that ofB. predates that ofC. predated those ofD. have predatedE. predateAnswers1-11 EAEED CABDB D12-29 BCBB CDCEB ADDEC DBAE30-35 EBACEC1-14 EBBEC ABBDB DADB。
2014年AMC_12真题(A)
3
7. The first three terms of a geometric progression are term? (A) 1 (B)
7
3 , and
6
3 . What is the fourth
3
(C)
8
3
(D)
9
3
(E)
10
3
8. A customer who intends to purchase an appliance has three coupons, only one of which may be used: Coupon 1: 10% off the listed price if the listed price is at least $50 Coupon 2: $20 off the listed price if the listed price is at least $100 Coup on 3: 18% off the amount by which the listed price exceeds $100 For which of the following listed prices will coup on 1 offer a greater price reduction than either coup on 2 or coup on 3? (A) $179.95 (B) $199.95 (C) $219.95 (D) $239.95 (E) $259.95
(A) 2100
(B) 2220
(C) 3000
(D) 3120
(E) 25
14. Let a < b < c be three integers such that a, b, c is an arithmetic progression and a, c, b is a geometric progression. What is the smallest possible value of c? (A) − 2 (B) 1 (C) 2 (D) 4 (E) 6
（完整版）sat数学考试试题
（完整版）sat数学考试试题SAT数学真题精选1. If 2 x + 3 = 9, what is the value of 4 x – 3 ?(A) 5 (B) 9 (C) 15 (D) 18 (E) 212. If 4(t + u) + 3 = 19, then t + u = ?(A) 3 (B) 4 (C) 5 (D) 6 (E) 73. In the xy-coordinate (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular （垂直）to L, what is an equation of M?(A) y = -1/2 x(B) y = -1/2 x + 1(C) y = - x(D) y = - x + 2(E) y = -2x4. If K is divisible by 2,3, and 15, which of the following is also divisible by these numbers?(A) K + 5 (B) K + 15 (C) K + 20 (D) K + 30 (E) K + 455. There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium?(A) 800 (B) 1,000 (C) 1,100 (D) 1,300 (E) 1,7006. If rsuv = 1 and rsum = 0, which of the following must be true?(A) r < 1 (B) s < 1 (C) u= 2 (D) r = 0 (E) m = 07. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set?(A) 126 (B) 127 (C) 252 (D) 253 (E) 2548. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 200 seniors, 300 juniors, and 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen?（A）1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E) 1/2Question #1: 50% of US college students live on campus. Out of all students living on campus, 40% are graduate students. What percentage of US students are graduate students living on campus?(A) 90% (B) 5% (C) 40% (D) 20% (E) 25% Question #2: In the figure below, MN is parallel with BC and AM/AB = 2/3. What is the ratio between the area of triangle AMN and the area of triangle ABC?(A) 5/9 (B) 2/3 (C) 4/9 (D) 1/2 (E) 2/9Question #3: If a2 + 3 is divisible by 7, which of the following values can be a?(A)7 (B)8 (C)9 (D)11 (E)4Question #4: What is the value of b, if x = 2 is a solution of equation x2 - b · x + 1 = 0?(A)1/2 (B)-1/2 (C)5/2 (D)-5/2 (E)2Question #5: Which value of x satisfies the inequality | 2x | < x + 1 ?(A)-1/2 (B)1/2 (C)1 (D)-1 (E)2Question #6: If integers m > 2 and n > 2, how many (m, n) pairs satisfy the inequality m n < 100?(A)2 (B)3 (C)4 (D)5 (E)7Question #7: The US deer population increase is 50% every 20 years. How may times larger will the deer population be in 60 years ?(A)2.275 (B)3.250 (C)2.250 (D)3.375 (E)2.500 Question #8: Find the value of x if x + y = 13 and x - y = 5.(A)2 (B)3 (C)6 (D)9 (E)4Question #9:The number of medals won at a track and field championship is shown in the table above. What is the percentage of bronze medals won by UK out of all medals won by the 2 teams?(A)20% (B)6.66% (C)26.6% (D)33.3% (E)10%Question #10: The edges of a cube are each 4 inches long. What is the surface area, in square inches, of this cube?(A)66 (B)60 (C)76 (D)96 (E)65Question #1: The sum of the two solutions of the quadratic equation f(x) = 0 is equal to 1 and the product of the solutions is equal to -20. What are the solutions of the equation f(x) = 16 - x ?(a) x1 = 3 and x2 = -3 (b) x1 = 6 and x2 = -6(c) x1 = 5 and x2 = -4 (d) x1 = -5 and x2 = 4(e) x1 = 6 and x2 = 0Question #2: In the (x, y) coordinate plane, three lines have the equations:l1: y = ax + 1l2: y = bx + 2l3: y = cx + 3Which of the following may be values of a, b and c, if line l3 is perpendicular to both lines l1 and l2?(a) a = -2, b = -2, c = .5 (b) a = -2, b = -2, c = 2(c) a = -2, b = -2, c = -2 (d) a = -2, b = 2, c = .5(e) a = 2, b = -2, c = 2Question #3: The management team of a company has 250 men and 125 women. If 200 of the managers have a master degree, and 100 of the managers with the master degree are women, how many of the managers are men without a master degree? (a) 125 (b) 150 (c) 175 (d) 200 (e) 225 Question #4: In the figure below, the area of square ABCD is equal to the sumof the areas of triangles ABE and DCE. If AB = 6, then CE =(a) 5 (b) 6 (c) 2 (d) 3 (e) 4Question #5:If α and β are the angles of the right triangle shown in the figure above, then sin2α + sin2β is equal to:(a) cos(β)(b) sin(β)(c) 1 (d) cos2(β)(e) -1 Question #6: The average of numbers (a + 9) and (a - 1) is equal to b, where a and b are integers. The product of the same two integers is equal to (b - 1)2. What is the value of a?(a) a = 9 (b) a = 1 (c) a = 0 (d) a = 5 (e) a = 11Question #1: If f(x) = x and g(x) = √x, x≥ 0, what are the solutions of f(x) = g(x)? (A) x = 1 (B)x1 = 1, x2 = -1(C)x1 = 1, x2 = 0 (D)x = 0(E)x = -1Question #2: What is the length of the arc AB in the figure below, if O is the center of the circle and triangle OAB is equilateral? The radius of the circle is 9(a) π(b) 2 ·π(c) 3 ·π(d) 4 ·π(e) π/2 Question #3: What is the probability that someone that throws 2 dice gets a 5 and a 6? Each dice has sides numbered from 1 to 6.(a)1/2 (b)1/6 (c)1/12 (d)1/18 (e)1/36 Question #4: A cyclist bikes from town A to town B and back to town A in 3 hours. He bikes from A to B at a speed of 15 miles/hour while his return speed is 10 miles/hour. What is the distance between the 2 towns?(a)11 miles (b)18 miles (c)15 miles (d)12 miles (e)10 miles Question #5: The volume of a cube-shaped glass C1 of edge a is equal to half the volume of a cylinder-shaped glass C2. The radius of C2 is equal to the edge of C1. What is the height of C2?(a)2·a /π(b)a / π(c)a / (2·π) (d)a / π(e)a + πQuestion #6: How many integers x are there such that 2x < 100, and at the same time the number 2x + 2 is an integer divisible by both 3 and 2?(a)1 (b)2 (c) 3 (d) 4 (e)5Question #7: sin(x)cos(x)(1 + tan2(x)) =(a)tan(x) + 1 (b)cos(x)(c)sin(x) (d)tan(x)(e)sin(x) + cos(x)Question #8: If 5xy = 210, and x and y are positive integers, each of the following could be the value of x + y except:(a)13 (b) 17 (c) 23 (d)15 (e)43Question #9: The average of the integers 24, 6, 12, x and y is 11. What is the value of the sum x + y?(a)11 (b)17 (c)13 (d)15 (e) 9Question #10: The inequality |2x - 1| > 5 must be true in which one of the following cases?I. x < -5 II. x > 7 III. x > 01.Three unit circles are arranged so that each touches the other two. Find the radii ofthe two circles which touch all three.2.Find all real numbers x such that x + 1 = |x + 3| - |x - 1|.3.(1) Given x = (1 + 1/n)n, y = (1 + 1/n)n+1, show that x y = y x.(2) Show that 12 - 22 + 32 - 42 + ... + (-1)n+1n2 = (-1)n+1(1 + 2 + ... + n).4.All coefficients of the polynomial p(x) are non-negative and none exceed p(0). Ifp(x) has degree n, show that the coefficient of x n+1 in p(x)2 is at most p(1)2/2.5.What is the maximum possible value for the sum of the absolute values of thedifferences between each pair of n non-negative real numbers which do not exceed 1?6.AB is a diameter of a circle. X is a point on the circle other than the midpoint of thearc AB. BX meets the tangent at A at P, and AX meets the tangent at B at Q. Show that the line PQ, the tangent at X and the line AB are concurrent.7.Four points on a circle divide it into four arcs. The four midpoints form aquadrilateral. Show that its diagonals are perpendicular.8.Find the smallest positive integer b for which 7 + 7b + 7b2 is a fourth power.9.Show that there are no positive integers m, n such that 4m(m+1) = n(n+1).10.ABCD is a convex quadrilateral with area 1. The lines AD, BC meet at X. Themidpoints of the diagonals AC and BD are Y and Z. Find the area of the triangle XYZ.11.A square has tens digit 7. What is the units digit?12.Find all ordered triples (x, y, z) of real numbers which satisfy the following systemof equations:xy = z - x - yxz = y - x - zyz = x - y - z。
2014年1月北美sat真题_词汇
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SECTION 2
Time - 2S minutes 24 Questions
Turn to Section 2 (page 4) of your answer sheet to answer the questions in this section.
4. The problem of soil degradation is -------: few, if any, agriculturally important regions are unaffected by it. .
(C) subtle (A) recent (B) modest (D) global (E) finished
S. Lauren was often labeled easygoing because she tended to appear mild and ------- rather than tense and -------. (A) (B) . (C) (D) (E) sullen .. serious relaxed . . excitable joyful . . intelligent slow .. patient likable . . humorous
3. For a cycling tourist, ------- is paramount: situations inevitably arise that require a cyclist to be alert and keen witted. (A) deference (B) perseverance (C) munificence (D) alacrity (E) vigilance
2014年美赛A题
PROBLEM A: The Keep-Right-Except-To-Pass Rule In countries where driving automobiles on the right is the rule (that is, USA, China and most other countries except for Great Britain, Australia, and some former British colonies), multi-lane freeways often employ a rule that requires drivers to drive in the right-most lane unless they are passing another vehicle, in which case they move one lane to the left, pass, and return to their former travel lane.Build and analyze a mathematical model to analyze the performance of this rule in light and heavy traffic. You may wish to examine tradeoffs between traffic flow and safety, the role of under- or over-posted speed limits (that is, speed limits that are too low or too high), and/or other factors that may not be explicitly called out in this problem statement. Is this rule effective in promoting better traffic flow? If not, suggest and analyze alternatives (to include possibly no rule of this kind at all) that might promote greater traffic flow, safety, and/or other factors that you deem important.In countries where driving automobiles on the left is the norm, argue whether or not your solution can be carried over with a simple change of orientation, or would additional requirements be needed.Lastly, the rule as stated above relies upon human judgment for compliance. If vehicle transportation on the same roadway was fully under the control of an intelligent system –either part of the road network or imbedded in the design of all vehicles using the roadway –to what extent would this change the results of your earlier analysis?。
2014美赛 A题
摘要
随着经济的发展，更多的车辆进入人们的生活，在现有的交通条件已不能满 足车辆的通行需要。 本文通过分析靠右行驶这一交通规则的交通路况表现，不仅 制定出一个能够提升车流量的方案，而且验证了该方案适用于左行国家。最后建 立一个智能系统，通过控制车速来改变道路的车流量和安全系数。 首先，我们通过运动学原理推导出安全的停车视距和不同路面下高速公路的 安全距离。 其次， 我们根据不同车道的行驶速度范围来设定在低负荷下三个车道 的行驶速度。即为各车道允许通过的最高时速 V03 120km / h 、 V02 110km / h 、
六、 模型的建立与求解
6.1 交通路况表现模型 6.1.1 高速公路的安全距离与车速之间的关系
6.1.1.1 汽车制动过程分析
通常认为， 汽车的紧急制动过程指车辆以一定的制动减速度从初始车速逐渐 减小为零的过程，整个过程所需时间称为汽车制动时间。实际上，从驾驶员发现 危险物存在开始， 经 1 时间才意识到应进行紧急制动，经 2 把脚从加速踏板向制 动踏板移动； 由于制动踏板存在自由行程、 制动蹄与制动鼓间存在着间隙等因素， 从踏下制动踏板经时间 3 才开始产生地面制动力并且汽车开始减速， 经时间 4 达 到最大制动减速度；最后，汽车以最大减速度 amax 减速，经 5 时间停车。将制动 减速度在制动力上升时间段的变化简化为线性递增过程[3]，整个制动过程简化为 如图 2 所示的形式。
71 V0 - V0前 72
V02 1.84 。再结合模型一中的车流量计 155.52
算公式，我们就可以将车流量计算出来。 问题四中，我们通过控制前后两车之间安全车距来控制车的行驶速度。当前 后两车之间的距离大于安全车距时，系统进行报错，降低车速；当安全距离过小 时，自动的提升车速，进而改变车的车流量和安全系数。
2014AMC12A试题及简答(繁体中文)
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(B) 7 3 (C) 8 3 (D) 9 3 (E) 10 3 (A) 1 有位顧客想買某個器具，他有三張不同的折價券，但只可以用其中一張： 折價券 1：如果訂價至少 50 美元，可以少付訂價的 10%； 折價券 2：如果訂價至少 100 美元，可以少付 20 美元； 折價券 3：如果訂價超過 100 美元，可以少付超過 100 美元部分的 18%。 下列哪一個訂價，使用折價券 1 比使用折價券 2、折價券 3 能省更多的錢？ (A) 179.95 美元 (B) 199.95 美元 (C) 219.95 美元 (D) 239.95 美元 (E) 259.95 美元 由 a 開始連續五個正整數，其平均數為 b。試問由 b 開始連續五個正整數的平均數為何？ (A) a 3 (B) a 4 (C) a 5 (D) a 6 (E) a 7
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24. 設 f 0 x x x 100 x 100 ，並對所有的 n 1 ，令 f n x f n 1 x 1 。試問有多少個 x
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The number of degrees of arc in a circle is 360. The slim of the measures in degrees of the angles of a triangle is 180. 2. A shop that is open from 10:00 in the morning to 3:00 in the afternoon sells hats and dresses. The shop offers a 15 percent discount on all dresses sold before 12:00 noon. The shop offers a 10 percent discount on all hats sold after 12:00 noon. Which of the following must be true? (A) If it is not 12:00 noon, then the shop is not offering any discounts. (B) If it is 12:00 noon, then the shop is offering a 25 percent discount on all hats and dresses. (C) If it is 1:00 in the afternoon, then the shop is offering a 15 percent discount on all dresses . (D) If it is 5:00 in the afternoon, then the shop is offering a 15 percent discount on all hats. (E) If it is 11 :30 in the morning, then the shop is offering a 15 percent discount on all dresses.
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SECTION 3
Time - 25 minutes . 20 Questions
Turn to Section 3 (page 4) of your answer sheet to answer the questions in this section.
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3. If 2x + 2y = 36 and x = 8, how much greater is y than x?
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7. If a number rounded to the nearest hundredth is 9.99, which of the following could be the number?
7 8 8.5 9 9 10 12 14 14 15 16 16 9. Sonia and 11 of her classmates worked on a class fundraiser. The list above shows the number of hours each of these 12 students worked. Exactly half of these students worked fewer hours than Sonia. How many hours did Sonia work?
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