2017上海各区二模压轴汇编
2017压轴题汇编 1 （长宁） 18. 如图，在Rt△ABC中，ABAC，D、E是斜边BC上两点，且45DAE. 设
,BEaDCb，那么AB_____________.（用含a、b的式子表示AB）
24. （本题满分12分） 已知△OAB在直角坐标系中的位置如图，点A在第一象限，点B在x轴正半轴上，6OAOB，30AOB.
（1）求点A、B的坐标； （2）开口向上的抛物线经过原点O和点B，设其顶点为E，当△OBE为等腰直角三角形时，求抛物线的解析式；
（3）设半径为2的⊙P与直线OA交于M、N两点，已知23MN，(,2)Pm(0)m，求m的值. 2017压轴题汇编
2 25. （本题满分14分） 如图，△ABC的边AB是⊙O的直径，点C在⊙O上，已知6ACcm，8BCcm，
点P、Q分别在边AB、BC上，且点P不与点A、B重合，(0)BQkAPk，联接PC、
PQ.
（1）求⊙O的半径长； （2）当2k时，设APx，△CPQ的面积为y，求y关于x的函数关系式，并写出定义域； （3）如果△CPQ∽△ABC，且ACBCPQ，求k的值. 2017压轴题汇编
3 （杨浦） 18．如图，在RtABC中，90C，4CACB，将ABC翻折，使得点B与边AC的中点M重合，如果折痕与边AB的交点为E，那么BE的长为________．
24．（本题满分12分，第（1）小题4分，第（2）小题3分，第（3）小题5分） 如图，已知抛物线2yaxxc的对称轴为直线1x，与x轴的一个交点为1,0A，
顶点为B，点5,Cm在抛物线上，直线BC交x轴于点E． （1）求抛物线的表达式及点E的坐标； （2）联结AB，求B的正切； （3）点G为线段AC上的一点，过点G作CB的垂线交x轴于点M（位于点E右侧），当CGM与ABE相似时，求点M的坐标． 2017压轴题汇编
4 25．（本题满分14分，第（1）小题4分，第（2）小题5分，第（3）小题5分） 已知：以O为圆心的扇形AOB中，90AOB，点C为AB上一动点，射线AC交射线OB于点D，过点D作OD的垂线交射线OC于点E，联结AE．
（1）如图1，当四边形AODE为矩形时，求ADO的度数； （2）当扇形的半径长为5，且6AC时，求线段DE的长； （3）联结BC，试问：在点C运动的过程中，BCD的大小是否确定？若是，请求出它的度数；若不是，请说明理由． 2017压轴题汇编
5 （徐汇） 18、如图7，在ABC中，(90180)ACB，将ABC绕着点A逆时针旋转
2(090)后得AED，其中点E、D分别和点B、C对应，联结CD，如果
CDED，请写出一个关于与的等量关系的式子。
24、如图10，已知抛物线)0(42≠+=aaxy与x轴交于点A和点)02(，B，与y轴交于点C，点D是抛物线在第一象限的点。
（1）当△ABD的面积为4时， ①求点D的坐标； ②联结OD，点M是抛物线上的点，且∠MDO=∠BOD，求点M的坐标； （2）直线ADBD、分别与y轴交于点FE、，那么OFOE+的值是否变化，请说明理由。
图7CABDE2017压轴题汇编
6 25、如图11，已知△ABC中，，6,5===BCACAB点O是边BC上的动点，以点O为圆心，OB为半径作圆O，交AB边于点D，过点D作∠ODP=∠B，交边AC于点P，交圆O与点E。设xOB=。 （1）当点P与点C重合时，求PD的长； （2）设yEPAP=-，求y关于x的解析式及定义域； （3）联结OP，当ODOP⊥时，试判断以点P为圆心，PC为半径的圆P与圆O的位置关系。
图11PEOBC
DA2017压轴题汇编
7 （松江） 18.如图，已知在矩形ABCD中，4AB，8AD，将△ABC沿对角线AC翻折，点B落在E处，联结DE，则DE的长为____________.
24.（本题满分12分，第（1）小题3分，第（2）小题4分，第（3）小题5分） 已知抛物线2yxbxc与x轴交于点A和点3,0B，与y轴交于点0,3C，P
是线段BC上一点，过点P作PN//y轴交x轴于点N，交抛物线于点M. （1）求该抛物线的表达式； （2）如果点P的横坐标为2，点Q是第一象限抛物线上的一点，且
△QMC与△PMC的面积相等，求点Q的坐标； （3）如果32PMPN，求tanCMN的值. 2017压轴题汇编
8 25.（本题满分14分，第（1）小题4分，第（2）小题5分，第（3）小题5分） 如图，已知在Rt△ABC中，90ACB，3cos5B，3BC，P是射线AB上的一个动点，以P为圆心，PA为半径的⊙P与射线AC的另一个交点为D，直线PD交直线BC于点E. （1）当1PA时，求CE的长； （2）如果点P在边AB的上，当⊙P与以点C为圆心，CE为半径的⊙C内切时，求⊙P的半径；
（3）设线段BE的中点为Q，射线PQ与⊙P相交于点F，点P在运动过程中，当PE//CF时，求AP的长. 2017压轴题汇编
9 （青浦） 18. 如图，在Rt△ABC中，ABAC，D、E是斜边BC上两点，且45DAE，将△ADC绕点A顺时针旋转90°后，得到△AFB. 设BEa，DCb，那么AB
________________.（用含a、b的式子表示AB）
24. 已知△OAB在直角坐标系中的位置如图，点A在第一象限，点B在x轴正半轴上，6OAOB，30AOB. （1）求点A、B的坐标； （2）开口向上的抛物线经过原点O和点B，设其顶点为E，当△OBE为等腰直角三角形时，求抛物线的解析式；
（3）设半径为2的⊙P与直线OA交于M、N两点，已知23MN，(,2)Pm
(0)m，求m的值. 2017压轴题汇编
10 25. 如图，△ABC的边AB是⊙O的直径，点C在⊙O上，已知6ACcm，8BCcm，点P、Q分别在边AB、BC上，且点P不与点A、B重合，(0)BQkAPk，
联接PC、PQ. （1）求⊙O的半径长； （2）当2k时，设APx，△CPQ的面积为y，求y关于x的函数关系式，并写出定义域； （3）如果△CPQ与△ABC相似，且ACBCPQ，求k的值. 2017压轴题汇编
11 （普陀） 18.如图7，将△ABC绕点B按逆时针方向旋转得到△ EBD，点E、点D分别与点A、点C对应，且点D在边AC上，边DE交边AB于点F，△BDC∽△ABC，已知
10BC，5AC，那么△DBF的面积等于____________
24.（本题满分12分） 如图9，在平面直角坐标系xOy中，二次函数220yxxmm的对称轴与比例
系数为5的反比例函数图像交于点A，与x轴交于点B，抛物线的图像与y轴交于点C，且3OCOB. （1）求点A的坐标； （2）求直线AC的表达式； （3）点E是直线AC上一动点，点F在x轴上方的平面内，且使以A、B、E、F为顶点的四边形是菱形，直接写出点F的坐标. 2017压轴题汇编
12 25.（本题满分14分） 如图10，半圆O的直径10AB，有一条定长为6的动弦CD在弧AB上滑动（点C、点D分别不与点A、点B重合），点E、F在AB上，ECCD，FDCD. （1）求证：EOOF； （2）联络OC，如果△ECO中有一个内角等于45°，求线段EF的长； （3）当动弦CD在弧AB上滑动时，设变量CEx，四边形CDFE面积为S，周长为l，问：S与l是否分别随着x的变化而变化？试用所学的函数知识直接写出它们的函数解析式及函数定义域，以说明你的结论. 2017压轴题汇编
13 （浦东） 18. 如图，矩形ABCD中，4AB，7AD，点E、F分别在边AD、BC上，且点B、F
关于过点E的直线对称，如果以CD为直径的圆与EF相切，那么AE
24. 已知抛物线23yaxbx经过点(7,3)A，与x轴正半轴交于(,0)Bm、(6,0)Cm两点，与y轴交于点D. （1）求m的值； （2）求这条抛物线的表达式； （3）点P在抛物线上，点Q在x轴上，当 90PQD且2PQDQ，求P、Q坐标. 2017压轴题汇编
14 25. 如图所示，45MON，点P是MON内一点，过点P作PAOM于点A、 PBON于点B，且22PB，取OP的中点C，联结AC并延长，交OB于点D.
（1）求证：ADBOPB； （2）设PAx，ODy，求y关于x的函数解析式； （3）分别联结AB、BC，当△ABD与△CPB相似时，求PA的长.
2017上海高考化学二模分类汇编1、原电池、电解池
原电池[16~17浦东二]12．在盛有稀 H 2SO 4的烧杯中放入用导线连接的电极X 、Y ，外电路中电子流向如图所示。
关于该装置，下列说法正确的是 A ．外电路中电流方向为： X→○A →YB ．若两电极分别为铁棒和碳棒，则 X 为碳棒， Y 为铁棒C ．X 极上发生的是还原反应， Y 极上发生的是氧化反应D ．若两电极都是金属单质，则它们的活动性顺序为 X > Y 12 D[16~17奉贤二]18．某课外小组利用废旧金属器件制作一个简易的铜锌原电池，为确保实验安全设计了如图装置，则下列说法正确的是 A ．该装置将电能转化为化学能 B ．电子从电极X 转移到电极 YC ．X 为阳极，表面产生大量气泡D ．Y 为负极，电极反应为Zn-2e→Zn 2+ 18 B金属腐蚀与防护[16~17普陀二]15．正确认识铁制品的电化腐蚀与防护方法的是A ．铁制品腐蚀时既可做正极也可做负极B ．铁制品腐蚀时铁电极发生反应为：Fe-3e→Fe 3+C ．铁制品腐蚀时或发生析氢腐蚀或发生吸氧腐蚀D ．铁制品连接电源正极可防止腐蚀 15 C[16~17长宁/金山二]12. 研究电化学腐蚀及防护的装置如右图所示。
下列有关说法正确的是（ ） A. 锌片发生氧化反应作阴极 B. 电子从铁片经过导线流向锌片 C. 铁片上电极反应为：O 2+2H 2O+4e →4OH - D. 该装置可用于研究外加电流阴极保护法 12 C[16~17静安二]16、用滴有酚酞和氯化钠溶液湿润的滤纸分别做甲、乙两个实验，下列判断错误的是（ ）A 、b 极附近有气泡冒出B 、d 极附近出现红色C 、a 、c 极上都发生氧化反应D 、甲中铁棒比乙中铁棒更易腐蚀16 A[16~17青浦二]12. 研究电化学腐蚀及防护的装置如右图所示。
下列有关说法正确的是（ ） A. 锌片发生氧化反应作阴极 B. 电子从铁片经过导线流向锌片X A e Y稀硫酸C. 铁片上电极反应为：O 2+2H 2O+4e →4OH -D. 该装置用于防护铁的方法叫作外加电流阴极保护法12 C[16~17杨浦二]17．右图是研究铁被海水腐蚀的实验装置。
上海市2017届高三英语二模汇编-六选四
2017年高三英语二模汇编——六选四Exoplanets （外行星）:The Hunt Is OnToday scientists believe that planets could outnumber the stars. For centuries, scientists and natural philosophers have proposed that stars in the night sky have planetary systems similar to our own solar systems. The existence of extrasolar planets, or exoplanets, has long been discussed . ___67_ _.Although not the first exoplanet discovery, a planet near a sun-like star was discovered by astronomers in 1995. This kicked off an era of exoplanet hunting, with thousands of discoveries and confirmations following in its wake.___68__ However, in 2015 NASA’s Kepler space telescope found its first Earth-sized planet in a “habitable” zone. This is the distance from a star where surface temperature of a pl anet wouldn’t be too hot or too cold for liquid water. So far, only a small slice of our galaxy, the Milky Way, has been explored. Even so, scientist have confirmed over 3500 exoplanets, with more being added every day.To detect exoplanets, scientists use data from a variety of sources. Large ground- based telescopes, earth- circling and sun- circling satellites all collect different types of information. Because exoplanets are so far away and very lose to stars, it is very difficult to see them directly ____69__. For example, when an exoplanet moves between its star and us, it causes a small drop in the star’s brightness. Measuring this drop is the transit （凌日）method of discovery. NASA’S Kepler space telescope has discovered many exoplanets in this way.As a planet circles a star, it pulls on it and causes it to shake. __70___. Measuring these slight changes is the radial velocity（径向速度）method of discovering planets. It is one of the most productive methods for finding and confirming exoplanets.These are just two examples of the many methods scientists use in their hunt for exoplanets, hoping for more information and enhanced detail. As time progresses and technology improves, who knows what else we may find!宝山区（长宁、青浦区）67-70 EBACSection CA School That Can Educate Us AllChristos Porios, 16, lives in a small Greek city. “My mother’s a teacher and my father’s a mechanic,” he explains, adding that neither is knowledgeable about computers—especially compared with him. 67 Porios was taking a free class in machine learning offered by Andrew Ng, a professor at Stanford University, over an online platform Ng developed with his colleagues. Drawing on what he learned, Porios was able to participate in the International Space Apps Challenge, a virtual hackathon (编程马拉松) using data from NASA and other government agencies.If one teenager in one small city can become a genius hacker through an online course, does it mean the world has changed? We have been hearing about the potential of online education for decades. 68 A number of online education platforms have appeared, featuring professors from top universities offering free courses.69 Ng was amazed. “It would take me 250 years to teach this many people at Stanford,” he says. And so, just one month into the course, Ng and his Stanford colleague, Daphne Koller, decided to leave their faculty posts (教职) and dive into online teaching full-time. In April, they launched their company, Coursera, with a $16 million round of venture funding. So far, it has managed to team up with 35 colleges in nine countries.To Ng and Koller, Coursera’s mission is simple and yet grand. That is to teach millions of people around the world for free, while also transforming higher education.According to Ng, the world’s top 20 universities enr oll only about 200,000 students. There are million more who could participate in classwork at the higher level, but most of them are far from any of the leading universities. 70Koller says Coursera’s total registration has hit 15 million. Porios, th e young Greek, is only one of those registrants. His hope is to study in Germany or England someday. He is even toying with the idea of taking classes at MIT or Stanford— but this time in person.崇明区67-70CAFESection CSelf-talk helps us allTalking to yourself may seem a little shameful. If you’ve ever been overheard criticizing yourself for a foolish mistake or practicing a speech , you’ll know the social problems it can cause.______67_______ But there’s no need for embarrassment. Talking to ourselves, whether out loud or silently in our heads, is valuable. Far from being a sign of insanity, self-talk allows us to plan what we are going to do , manage our activities and control our emotions.For example, take a trip to any preschool and watch a small girl playing with her toys . You are very likely to hear her talking to herself: offering herself directions and talking about her problems. ______68______We do a lot of it when we are young.As children, according to the Russian Psychologist Lev Vygotsky , we use private speech to control our actions in the same way that we use public speech to control the behavior of others. As we grow older, we keep this system inside.Psychological experiments have shown that this so-called inner speech can improve our performance in tasks like telling what other people are thinking. Our words give us an interesting view of our actions. One recent study suggested that self-talk is most effective when we talk to ourselves in the second person: as “you” rather than “I”_____69_____If you want proof , turn to a sports channel . You’re sure to see an athlete shouting at himself or herself.Talking to ourselves seems to be a very good way of solving problems and working through ideas. Hearing different points of view means our thoughts can end up in different place , just like a regular dialogue , and might turn out to be one of the keys to human creativity.Both kinds of self-talk -----silent and out loud ----seem to bring many different benefits to our thinking .______70______-杨浦区67-70 EBDCThe Tutorial System of Oxford UniversityIn the University of Oxford, teaching is conducted primarily through the tutorial system. It is one of the most unique and well-known methods of teaching across the world.The weekly tutorial consists of a one-hour meeting between the tutor and small numbers of students (usually two to four). During this time, an essay prepared specifically for that tutorial is read by students and commented upon by the tutor. At the end of the tutorial, the tutor will assign the topic of study for the coming week and suggest readings. __67__Meanwhile, they are also complemented by departmental lectures which are conducted on a university wide basis, lab work, and seminars (研讨会) often with groups of perhaps 10 students.Tutorials have gained their reputation because of the close relationship they maintain between the tutor and the student. The tutorial system provides undergraduates with direct and in most cases weekly contact with tutors in their academic fields.__68__Before the weekly tutorial, students are required to prepare an essay or other works, which they read or present to the tutor. During each tutorial, students are expected to communicate, debate, analyze and critique the ideas of others as well as their own in conversations with the professor and fellow-students. The tutorial system has great value that it creates learning and assessment opportunities which are highly authentic(可靠的) and difficult to fake, as the student’s work is discussed on the spot.__69__The contrast between tutorials and large lectures common in the American universities is obvious. In the typical American university, students are taught by the same specialists, in the same manner, and held to the same standards.However, during tutorials, students have the opportunity to explore their own ideas directly with experts in particular subjects. __70__ As a result, students must engage in extensive independent reading and research, using the resources available, under the guidance of the tutor.虹口区67-70: BFA CSection CYour Own Best FriendTalking to yourself may seem a little shameful. If you’ve ever been overheard criticizing yourself for a foolish mistake or practicing a tricky speech ahead of time, you’ll have felt the social restriction against communicating with yourself in words. According to the well-known saying, talking to yourself is the first sign of madness.67 Talking to ourselves, whether out loud or silently in our heads, is a valuable tool for thought. Far from being a sign of insanity, self-talk allows us to plan what we are going to do, manage our activities, regulate our emotions and even create a narrative of our experience.Take a trip to any preschool and watch a small child playing with her toys. You are very likely to hear her talking to herself: offering herself directions and giving voice to her frustrations.68 We do a lot of it when we are young–perhaps one reason for our shyness about continuing with it as adults.As children, according to the Russian psychologist Lev Vygotsky, we use private speech to regulate our actions in the same way that we use public speech to control the behavior of others.69Psychological experiments have shown that the distancing effect of our words can give us a valuable perspective on our actions. One recent study suggested that self-talk is most effective when we address ourselves in the second person: as “you” rather than “I”.We internalize the private speech we use as children–but we never entirely put away the out-loud version.70 You’re bound to see an athlete or two gearing themselves up with a tar t phrase or scolding themselves aftera bad shot.Both kinds of self-talk seem to bring a range of benefits to our thinking. Those words to the self, spoken silently or aloud, are so much more than lazy talk.黄浦区67-70 AFCBTo Please Your Friends, Tell Them What They Already KnewThe research emeraged out of some real-life observations shared by Gilbert and co-authors Gus Cooney and Timothy D. Wilson：“Conversation is the most common of all human social activities, and doing i t well requires that we know what our conversation partners most want to hear.___67___”says psychological scientist Daniel T, Gilbert of Harvard University.“When our friends try to tell us about movies we’ve never seen or albums we’ve never heard, we usua lly find ourselves bored, confused, and underwhelmed. ___68___. And yet, as soon as it’s our turn to speak, we do exactlly the same thing to our friends –with exactly the same consequences. We wanted to understand why this happens.”Gilbert explains. The researchers decided to do this by conducting a series of experiments.In their first experiment, the researchers assigned participants to groups of three, with one person acting as the speaker and the other two acting as listeners. Speakers watched a video and then tried do describe it to the listeners. Some of the listeners had seen the video the speakere was describing, and others had not.___69___. When the speakers were speaking, the listeners rated them on these aspects. The results showed that speakers’ predictions were exactly backwards. Speakers expected listeners to respond more positively to their stories when the listeners had not seen the video they were describing ___70___. Although speakers expected listeners to enjoy hearing about a novel experience more than a familiar one, it was actually the other way around.A second study showed that when asked to predict their own reactions before hearing the story, listeners made the same mistake that speakers did.嘉定区长宁区67-70 DEAFAn 18-year-girl Kayla Perkins explains what is in her bedroom, “I throw something on the floor and I know right where it is.” However, her parents, Steve and Deborah Perkins, of Mckinney, Texas, haven’t caught on. Even Kayla admits that, at the worst, her room is a mess.Most families at some point have at least one child whose room looks like a landfill. 67 Dirty clothes pile up; dirty dishes get lost in the mess and smell bad; homework is lost; and valuable things are ruined.Some parents let it go, believing that a bedroom is private space for children to manage as they wish. Others lecture their children, offer rewar ds for cleaning, or punish them when they don’t.___ 68____ Mrs. Perkins says they picked up all the clothes on Kayla’s floor and hid them. They cleaned everything up. When Kayla came back to a bare bedroom, there was screaming and shouting, “How can I live without my clothes?” Mrs. Perkins asked Kayla to earn her clothes back by doing housework. These days, she keeps her room clean.69 For example, since Jessica, the 14-year-old daughter wasn’t bothered by the dirty clothes all over her floor, the whole family started using her room as a place to store dirty clothes. Her attitude changed after her family did that. By the time she gave in and cleaned up her room a few days later, even she was laughing.70 Children often behave better if you treat them in the way you would want to be treated by your boss at work—with respect and high expectations.奉贤区67-70BFDECharity—Hum anity’s most kind and generous desire—is a timeless and borderless virtue, dating at least to the dawn of religious teaching. Philanthropy（慈善行为）as we understand it today, however, is a distinctly American phenomenon, inseparable from the nation that shaped it. From colonial leaders to modern billionaires like Buffett, Gates and Zuckerberg, the tradition of giving is woven into the national DNA.67. ________ Benjamin Franklin, an icon of individual industry and frugality（节俭）even in his own day, understood that with the privilege of doing well came the price of doing good. When he died in 1790, Franklin thought to future generations, leaving in trust two gifts of 1,000 Ib. of sterling silver—one to the city of Boston,the other to Philadelphia. According to his instruction, a portion of the money could not be used for 200 years.While Franklin’s gifts lay in wait, the tradition he established evolved alongside the young nation. 68. ________ Often far less famed men and women have played a critical role in phi lanthropy’s evolution. One of my personal heroes is Julius Rosenwald, who helped construct more than 5,300 schools across the segregated（种族隔离）South and opened classroom doors to a generation of African-American students.69. ________ The answer is not just to benefit others. Tax reduction, for one, encourages the rich people to give. And philanthropy has long helped improve the public image of everyone from immoral capitalists to the new tech elite. More troubling, however, are the foundational problems that make philanthropy so necessary. Just before his death, Dr. Martin Luther King Jr. wrote, “Philanthropy is praise-worthy, but it must not cause the philanthropist to overlook the circumstances of economic injustice which make philanthropy necessary.”Fr anklin’s gifts represent a broader principle. We are guardians of a public trust, even if our capital came from private enterprise, and our most important obligation is ensuring that the system works more equally and more justly for more people. 70. ________ America’s greatest strength is not the fact of perfection, but rather the act of perfecting.浦东新区67—70 F E A BAny apples today? Effie asked cheerfully at my window. I followed her to her truck and bought a kilo. On credit, of course. Cash was the one thing in the world I lacked just then. ______(67)______All pretense(借口) of payment was dropped when our funds, food and fuel decreased to alarming lows. Effie came often, always bringing some gift: a jar of peaches or some firewood. There were other generosities. _____(68)______Effie was not a rich woman. Her income, derived from investments she had made while running an interior decorating shop, had never exceeded $ 200 a month, which she supplemented by selling her apples. But she always managed to help someone poorer.Years passed before I was able to return the money Effie had given me from time to time. She was ill now and had aged rapidly in the last year. "Here, darling," I said, “is what I owe you.______(69)_____ “Give it back as I gave it to you—a little at a time” I think she believed there was magic in the slow discharge of a love debt.The simple fact is that I never repaid the whole amount to Effie, for she died a few weeks later. By now, the few dollars Effie gave me have been multiplied many times. But a curious thing began to happen.Whenever I saw a fellow human in financial trouble, I was moved to help him. I can't afford to do this always, but in the ten years since Effie's death, I have indirectly repaid my debt to her.______(70)_____ At that time, it seemed that my debt would forever go unsettled. So the account can never be marked closed, for Effie's love will go on in hearts that have never known her.普陀区67-70 EAFCThe worst time to look for a job is when you feel desperate and must have a new oneimmediately. 67 If you are not in need of an immediate career change, here are ways you can improve your long-term career prospects today:Identify at least two different roles. You do not have to be qualified for these positions today, nor do theyhave to exist in your company. However, these roles should be related to your current skill set. They are career options that look interesting. 68 Pay close attention to what appeals to you, and write it down. This will give insight into your motivations and targets.Subscribe to a career specific magazine. Knowledge is power in the workplace. All businesses must stay relevant to their customers in order to win the competitions and increase revenue (收益). Reading about industry trends, advancements and success stories keeps you in touch with market conditions. This information allows you to see which companies and professionals are leading the pack. You can follow their examples in your own workplace. 69Do exceptional work. In any role, there is a way to perform at your best. Look for ways to deliver a top performance. Show up early, be flexible to new assignments, have a positive attitude, cooperate with other departments, pay attention to the little details.Be professionally curious. Talk to people about their careers. Learn more about how success is measured in other roles, departments and companies. Ask people their thoughts on different industries. 70 People hire people. You never know what connections may be relevant when you start your next job search, so develop a habit of making good connections no matter where you go. Take the time to learn about others, and be helpful when you can.As in all things in life, getting in front of a difficult task early is always less stressful than reacting to a career surprise. Changing jobs is to be expected. No matter how secure you feel today, the time will come when either you or your employer decide it is time to change.松江区闵行区67-70 FDABThe explosion of new media, ranging from the internet to digital television, means that people working in advertising will have to come up with more ways to catch the public’s attention in the future.______67______ No longer will all members be watching the same program: some will be watching different channels on their own TVs, surfing the net or doing both at the same time. The advertising industry will have to work “harder and smarter” to cut through the “mess” of the future with a wide range of new media, all competing to catch the consumers’ eyes.People have become more individual in their consumption of advertising. New technology has madeexperimenting with new forms of advertising possible. The monologue where the advertisement tells housewives that this is the washing powder they should buy is just a cliché(陈词滥调) now. ______68______ There is, consequently, little hope of them surviving for more than another twenty years. A much closer relationship with the consumer is gradually being created.The definition of what constitutes advertising will expand well beyond the conventional mass media. Shopping environments will themselves become a part of the advertising process. Increasingly, they will exist not simply to sell goods, but also to entertain people and to make sure that they enjoy their time there. The aim will be to “warm” people towards these places so that they will return to purchase goods there again.In spite of these and other changes, it is highly unlikely that TV, print and radio will disappear altogether as advertising media. ______69______ But other marketing strategies, such as public relations and direct marketing, will become as important as advertising. Advertising agencies will have to reinvent themselves. They will no longer be able simply to produce advertisements and then support these through PR, direct marketing or the internet. Instead, they will have to change the whole way they look at communication and start thinking about ideas which are not specific to one discipline.______70______ Originality of thinking has always been in short supply. It will continue to be so in the future. But there will be increasing coston the advertiser’s ability to be imaginative and to think laterally about engaging the consumer in a broader variety of media.静安区67-70 FCEAMy wife and I recently welcomed a child into the world. His only interest right now is keeping us awake 24/7. But one day, he’ll need to learn something about finance. When he does, here are some suggestions.1. You might think you want an expensive car, a fancy watch, and a huge house. But you don’t. ______(67)________ You think having expensive stuff will bring it. It almost never does—especially from the people you want to respect and admire you.2. The road to financial regret is paved with debt. Some debt, such as a mortgage, is OK. But most spending that results in debt is the equivalent of a drug: a quick hit of pleasure that wears off, only to drag you down for years tocome, limiting your options and keeping you weighed down by the baggage of your past.3. I hope you’re poor at some point. Not struggling, and not unhappy, of course. But there’s no way to learn the value of money without feeling the power of its scarcity. It teaches you the difference between necessary and desirable. ______(68)_______ These are essential survival skills.4. If you’re like most people, you’ll spend most of your adult life thinking, “Once I’ve saved/earned $X, everything will be great.” Then you’ll hit $X, move the goalposts, and resume chasing your tail. It’s a miserable cycle. Your goals should be about more than money.5. Don’t stay in a job you hate because you made a career choice at 18. Almost no one knows what he or she wants to do at that age. Many people don’t know what they want until they’re twice that age. (These are the signs you’re in the wrong career.)6. The best thing money buys is to control over your time. _____ (69) ________ One day you’ll realize that this freedom is one of the things that makes you truly happy.7. Change you r mind when you need to. I’ve noticed a tendency for people to think they’ve mastered investing when they’re young. They start investing at age 18 and think they have it all figured out by age 19. They never do.8. Some people are born into families that encourage education; others are from families that are against it. Some are born into flourishing economies; others, into war and poverty. I want you to be successful, and I want you to earn it. But realize that not all success is due to hard work and not all poverty is due to laziness. Keep this in mind when judging people, including yourself.9. Your savings rate has a little to do with how much you earn and a lot to do with how much you spend. I know a dentist who lives paycheck to paycheck, always on the edge of ruin. I know another person who never earned more than $50,000 and saved a fortune. The difference is entirely due to their spending _____(70) _____.10. Don’t listen to me if you disagree with what I’ve written. The world you grow up in will h ave different values and opportunities than the one I did. More important, you’ll learn best when you disagree with someone and then are forced to learn it yourself. (On the other hand, always listen to your mother.)徐汇区67-70 FACD。
2017年上海高三二模语文汇编4：古诗鉴赏
2017年高三二模汇编4：古诗鉴赏宝山、长宁、金山区(三）阅读下面的诗歌，完成第13-15题。
（8分）春日独酌唐李白东风扇淑①气，水木荣春晖。
白日照绿草，落花散且飞。
孤云还空山，众鸟各已归。
彼物皆有托，吾生独无依②。
对此石上月，长醉歌芳菲。
【注】①淑：美好。
②陶渊明《咏贫士》：“万族各有托，孤云独无依。
……知音寻不存，已矣何所悲。
”13.下列关于李白诗歌风格的说法，错误的一项是（）（1分）A.清新俊逸B.风骨峥嵘C.浪漫奔放D.天然去雕饰14.对本诗赏析错误的一项是（）（3分）A.起首四句用“比”的手法，景情理结合，重在托物言志。
B.“扇”写东风吹拂的态势，“荣”表现万物盎然的生机。
C.“白日”两句用动词，使色彩更鲜明，画面更富有动态。
D.结尾两句点题“独酌”，又呈现了主人公的动作和神态。
15.请从写法和情感两个方面比较画线句与注释《咏贫士》的异同。
（4分）13.B 14. A“比”错，应是“兴”；“重在托物言志”错，重在寓情于景，然后景中寓理。
15. 示例：（1）写法上都用了（物我）对比；（2）李白用具体意象“孤云”、“众鸟”（为“彼物”）与自己对比，陶渊明用总括的物类与比喻自己的具体意象“孤云”作对比（李白用具体意象作“彼物”，陶渊明用具体的物象喻自己而用“类”作彼物）。
（3）情感上都是孤独无依；（4）李白是更多理想破灭的伤感，陶渊明更表达了对清贫（高洁）的坚守。
（1点1分。
写法和情感各2分。
“同”2分、“异”2分）青浦区(三）阅读下面的诗歌，完成第13-15题。
（8分）春日独酌唐李白东风扇淑①气，水木荣春晖。
白日照绿草，落花散且飞。
孤云还空山，众鸟各已归。
彼物皆有托，吾生独无依②。
对此石上月，长醉歌芳菲。
【注】①淑：美好。
②陶渊明《咏贫士》：“万族各有托，孤云独无依。
……知音寻不存，已矣何所悲。
”13.下列关于李白诗歌风格的说法，错误的一项是（）（1分）A.清新俊逸B.风骨峥嵘C.浪漫奔放D.天然去雕饰14.对本诗赏析错误的一项是（）（3分）A.起首四句用“比”的手法，景情理结合，重在托物言志。
上海各区二模题含解析
2017年上海市初三二模数学汇编之18题（十六区全）1. （2017徐汇二模）如图，在V ABC 中，(90180)ACB αα∠=<<o o，将V ABC 绕点A 逆时针旋转2β后得V AED ，其中点E 、D 分别和点B 、C 对应，联结CD ，如果⊥CD ED ，请写出一个关于α与β的等量关系式 ：________________.【考点】图形的旋转、等腰三角形【解析】根据题意：ACB ADE α∠=∠=，90CDE ∠=︒Q ，90ADC α∴∠=-︒，2,BAE DAC AC BC β∠=∠==Q ， 90ACD ADC β∴∠=∠=︒-，180αβ∴+=︒.2. （2017黄埔二模）如图，矩形ABCD ，将它分别沿AE 和AF 折叠，恰好使点B 、C 落到对角线AC 上点M 、N 处.已知2MN =，1NC =，则矩形ABCD 的面积是 .【考点】图形的翻折、勾股定理【解析】设AB x =，由题意可得：2,3.AN AD x AC x ==+=+在Rt ADC V 中，222AD DC AC +=，即222(2)(3)x x x ++=+.解得：1x =((319ABCD S AD DC ∴=⨯==+X3. (2017静安二模)如图，A e 和B e 的半径分别为5和1，3AB =，点O 在直线AB上. O e 与A e 、B e 都内切，那么O e 半径是 .【考点】圆与圆的位置关系【解析】根据题意：,A O O B OA R R OB R R =-=-,|||62|3O AB OA OB R ∴=-=-=32RO ∴=,924. （2017闵行二模）如图，在Rt ABC V 中，90,8,6,C AC BC ∠=︒==点D E 、分别在边AB AC 、上，将ADE V 沿直线DE 翻折，点A 的对应点在边AB 上，联结'A C . 如果''A C A A =，那么BD = .【考点】勾股定理、图形的翻折【解析】根据题意： 115'''5,''222A A AB AC AB AD DB A B ======= 5. （2017普陀二模）将ABC V 绕点B 按逆时针方向旋转得到EBD V，点E 、点D 分别与点A 、点C 对应，且点D 在边AC 上，边DE 交边AB 于点F ，BDC ABC V :V ，已知BC =5AC =，那么DBF V的面积等于 . 【考点】图形的旋转、相似、八字形【解析】223BDC ABC BC CD CA CD AD AC CD ∴=⋅∴==∴=-=Q V :V 6. （2017杨浦二模）如图，在Rt ABC V 中，90, 4.C CA CB ∠=︒==将ABC V 翻折，是得点B 与点AC 的中点M 重合，如果折痕与边AB 的交点为E ，那么BE 的长为 . 【考点】图形的翻折、勾股定理、等腰直角三角 【解析】过点M 作MH AB ⊥，设BE x =，根据题意得：,AB ME BE x AH MH HE x ======，在Rt MHE V 中，7. （2017嘉定二模）如图，在ABC V 中，390,10,cos 5ACB AB A ∠=︒==，将ABC V 绕着点C 旋转，点A 、B 的对应点分别记为'A 、'B ，''A B 与边AB 相交于点E ，如果''A B AC ⊥那么线段'B E 的长为 .【考点】图形的旋转、母子三角形、锐角三角比 【解析】根据题意：3'''cos '1065A C A B A =⋅=⨯=，318''cos '655A F A C A =⋅=⨯= 32''''5B F A B A F ∴=-=，246,55CF AF AC CF ==∴=-=Q 8. （2017长宁、金山、青浦二模）如图，在Rt ABC V 中，,AB AC D E =、是斜边BC上两点，45DAE ∠=︒，将ADC V 绕点A 顺时针旋转90︒后，得到AFB V .设,=BD a EC b =.那么AB = .【考点】图形的翻折、勾股定理HB A【解析】将ABD V 沿AD 翻折得到ADF V ，联结EF .根据题意得：,ABD AFD AEF AEC ≅≅V V V V ，,DF BD a EF EC b ∴====.9. （2017崇明二模）如图，已知ABC V 中，3,4,BC AC BD ==平分ABC ∠，将ABC V 绕着点A 旋转后，点B 、C 的对应点分别记为11B C 、，如果点1B 落在射线BD 上.那么1CC 的长度为 .【考点】图形的旋转、八字形、旋转相似【解析】1111111,//ABB CBB ABB AB B CBB AB B AB BC ∠=∠∠=∠∴∠=∠∴Q1111111AB B D BB AD AB BB ABB ACC BC DC DB AC CC ∴==∴=∴=V :V，即154= 10. （2017虹口二模）如图，在Rt ABC V 中，490,10,sin ,5C AB B ∠=︒==点D 在斜边AB 上，把ACD V 沿直线CD 翻折，使得点A 落在同一平面内的'A 处，当'A D 平行Rt ABC V 的直角边时，AD 的长为 .【考点】图形的翻折、八字形【解析】图（2）根据题意12,1332AC AB ∠=∠∠=∠∴∠=∠∴⊥Q图（3）根据题意1238AD AC ∠=∠=∠∴==.综上：4AD =或8.11. (2017松江二模)如图，已知在矩形ABCD 中，4,=8AB AD =,将ABCV 沿对角线AC 翻折，点B落在点E 处，联结DE ，则DE 的长为 . 【考点】图形的翻折、八字形、勾股定理【解析】根据题意：123AF CF ∠=∠=∠∴=，设AF x =，在Rt AFC V 中12. （2017宝山二模）如图，E F 、分别在正方形ABCD 的边AB 、AD 上的点，且AE AF =，联结EF ，将AEF V 绕点A 逆时针旋转45︒，使E 落在1E ，F 落在1F ，联结1BE 并延长交1DF 于点EG，如果1AB AE ==，则DG = .【考点】图形的旋转、勾股定理、全等、八字型、A 字型【解析】根据题意：11ABE AF D ABF ADG AQB DQG AQB DQG ≅∴∠=∠∠=∠∴V V Q V :V13. （2017奉贤二模）如图，在矩形ABCD 中，点E 是边AD 上的一点，过点E 作EF BC ⊥.垂足为点F ，将BEF V 绕点E 逆时针旋转，使点B 落在边BC 上的点N处，点F 落在边DC 上的点M 处，如果点M 恰好使边DC 的中点，那么AD AB 的值是 .【考点】图形的旋转、一线三等角【解析】根据题意：,EBF EFN ENM NMC DEM ENM ≅≅V V V V :V :V设CM x =，则2,DM CM CD AB EN x ED CN x ED ⋅===∴=∴==14. (2017 浦东二模)如图，矩形ABCD 中，4,7AB AD ==，点E F 、分别在边AD BC 、上，且点B F 、关于过点E 的直线对称，如果以CD 为直径的圆与EF 相切，那么AE = .【考点】图形的翻折、勾股定理【解析】根据题意：设AE x = ，则7DE x =-，2,72BF x FC x ==-，143,BE FE x ∴==-在Rt ABE V 中，222AB AE BE +=，即2216(143x x +=-） 解得：12153,()2x x ==舍去，故 3.AE =2x7-2x4。
2017届上海高三数学·二模汇编 函数
2017届高中数学·二模汇编 函数一、填空题1、已知函数()()()220log 01x x f x x x ⎧≤⎪=⎨<≤⎪⎩的反函数是()1f x -，则12f -1⎛⎫= ⎪⎝⎭____________2、已知函数，若对任意，，，恒有，则实数的取值范围为___________． 3、对于给定的实数，函数xkx f =)(的图像上总存在点C ，使得以C 为圆心，1为半径的圆上有两个不同的点到原点O 的距离为1，则k 的取值范围是_________．4、设()f x 是定义在R 上的奇函数, 当0x >时,3()2xf x =-. 则不等式()5f x <-的解为________. 5、设函数()||||a f x x x a =+-. 当a 在实数范围内变化时, 在圆盘221x y +≤内, 且不在任一()a f x 的图像上的点的全体组成的图形的面积为_________.6、已知函数2log 02()25()239x x x f x x <<⎧⎪=⎨+≥⎪⎩，，．若函数()()g x f x k =-有两个不同的零点，则实数k 的取值范围是____________．7、设单调函数()y p x =的定义域为D ，值域为A ，如果单调函数()y q x =使得函数(())y p q x =的值域也是A ，则称函数()y q x =是函数()y p x =的一个“保值域函数”． 8、已知定义域为[],a b 的函数2()3h x x =-，函数()f x 与()g x 互为反函数，且()h x 是()f x 的一个“保值域函数”，()g x 是()h x 的一个“保值域函数”，则b a -=___________．9、已知()21xf x =-，则1(3)f-=10、若函数()2()1x f x x a =+-在区间[]0,1上有零点，则实数a 的取值范围是 11、函数⎪⎭⎫⎝⎛-=x y 11log 2的定义域为 12、若函数1log log )(222+-=x x x f （2≥x ）的反函数为)(1x f-，则)3(1-f=13、已知定义在R 上的函数()f x 满足：①()(2)0f x f x +-=；②()(2)0f x f x ---=；③ 在[1,1]-上表达式()f x x x a=-[]12,3x ∈[]22,3x ∈12x x ≠1212()()()22x x f x f x f ++>a 0k >为[1,0]()1,(0,1]x f x x x ∈-=-∈⎪⎩，则函数()f x 与122,0()log ,0x x g x x x ⎧≤⎪=⎨>⎪⎩的图像在区间[3,3]-上的交点的个数为14、若函数()2()1x f x x a =+-在区间[]0,1上有零点，则实数a 的取值范围是 15、设)(x f 为R 上的奇函数．当0≥x 时，b x x f x ++=22)( (b 为常数)，则)1(-f 的值为____ 16、设)(1x f -为12)(+=x xx f 的反函数，则=-)1(1f ________ 17、若2131)(--=xx x f ，则满足0)(>x f 的x 的取值范围是_______18、设R ∈x ，用][x 表示不超过x 的最大整数（如2]32.2[=，5]76.4[-=-），对于给定的*N ∈n ，定义)1][()1()1][()1(+--+--=x x x x x n n n C x n ，其中),1[∞+∈x ，则当⎪⎭⎫⎢⎣⎡∈3,23x 时，函数xC x f 10)(=的值域是_______________19、函数y 的定义域是 ．20、若函数3 (0),() 1 (0)x x a x f x a x -+<⎧=⎨+≥⎩(a >0,且a ≠1)是R 上的减函数，则a 的取值范围是21、函数21()(2)1xx f x x x ⎧≤⎪=⎨->⎪⎩，如果方程()f x b =有四个不同的实数解1x 、2x 、3x 、4x ，则1234x x x x +++=22、设点()9,3在函数()()()log 10,1a f x x a a =->≠的图像上，则()f x 的反函数()1f x -=________．二、填空题1、若存在t R ∈与正数m ，使()()F t m F t m -=+成立，则称“函数()F x 在x t =处存在距离为2m 的对称点”，设()()20x f x x xλ+=>，若对于任意t ∈，总存在正数m ，使得“函数()f x 在x t =处存在距离为2m的对称点”，则实数λ的取值范围是（ ）A. (]0,2B. (]1,2C. []1,2D. []1,42、若()f x 为奇函数，且0x 是()x y f x e =-的一个零点，则0x -一定是下列哪个函数的零点 （ ）A ．()1x y f x e =+B ．()1xy f x e -=--C ．()1x y f x e =-D ．()1xy f x e =-+3、对于定义在R 上的函数()f x , 若存在正常数,a b , 使得()()f x a f x b +≤+对一切x ∈R 均成立, 则称()f x 是“控制增长函数”。
上海市各区2016-2017年初三英语二模试题分类汇编--选词填空--学生版(纯净word已经校对)
III. Complete the following passage with (he words or phrases in the box. Each can be only once. (将下列单词或词组填入空格。
每空格限填一词，毎词只能填一次）（共8分）For the good of our children, give them better food! The number of children who arc obese or overweight is on the rise and the problem is clearly____46____. These children have many sick days from school, and might get bullied(受辱) because of their weight. So____47____their health will help solve these problems.From my point of view, the main causes of these health problems is the poor quality of the school lunches the children get. A typical student will have, ____48____, a burger, fries, a chocolate bar and soda for lunch every day. That is ____49____to 75% of the recommended calorie intake（推荐的卡路里摄入量) and 90% of the recommended fat intake. Giving students chicken, pasta, an apple and some milk will decrease the calories by 78% and fat by 80%.I don't mean to____50____the lunch ladies of America. They are under a lot of pressure(压力）to prepare food for a lot of students every day. but they ____51____ very little money. Who wants to work under such conditions? I also don't think we should slop children from eating some fast food ____52____---just not every day.From now on. we have to____53____our children eat healthily. The government should give schools more money for school lunches and make schools teach students how to cook. Students will get better food and know how to make better food. Let's change school lunches for our children!Ⅲ. Complete the following passage with the words or phrase in the box. Each word or phrase can only be used once.（将下列单词或词组填入空格。
01.2017年上海高三数学二模分类汇编：集合与命题
1（2017虹口二模）. 集合{1,2,3,4}A =，{|(1)(5)0}B x x x =--<，则AB = 1（2017静安二模）. 已知集合{|ln 0}A x x =>，{|23}x B x =<，则A B =1（2017徐汇二模）. 设全集{1,2,3,4}U =，集合2{|540,}A x x x x Z =-+<∈，则U C A = 1（2017宝山二模）. 已知集合{|0}A x x =>，集合{|1}B x x =<，则A B =1（2017长宁二模）. 已知集合{|1,}A x x x R =>-∈，集合{|2,}B x x x R =<∈，则AB = 2（2017崇明二模）. 若全集U R =，集合{|1}{|0}A x x x x =≥<，则UC A = 2（2017松江二模）. 已知集合{||1|1}M x x =+≤，{1,0,1}N =-，则MN = 2（2017闵行二模）. 已知集合{||1|1}M x x =+≤，{1,0,1}N =-，则M N = 3（2017黄浦二模）. 若“2230x x -->”是“x a <”的必要不充分条件，则a 的最大值为4（2017奉贤二模）. 设集合{||2|3}A x x =-≤，{|}B x x t =<，若AB =∅，则实数t 的取值范围是5（2017杨浦二模）. 集合2{1,3,}A a =，集合{1,2}B a a =++，若B A A =，则实数a =12（2017静安二模）. 已知,a b R ∈，则“33log log a b >”是“11()()22a b <”的（ ）A. 充分不必要条件B. 必要不充分条件C. 充要条件D. 既不充分也不必要条件13（2017嘉定二模）. 命题“若1=x ，则0232=+-x x ”的逆否命题是（ ）A. 若1≠x ，则0232≠+-x xB. 若0232=+-x x ，则1=xC. 若0232=+-x x ，则1≠xD. 若0232≠+-x x ，则1≠x13（2017长宝二模）. 设a 、b R ∈，则“4a b +>”是“1a >且3b >”的（ ）A. 充分不必要条件B. 必要不充分条件C. 充要条件D. 既不充分也不必要条件13（2017徐汇二模）. “1x >”是“11x<”的（ ）条件 A. 充分不必要 B. 必要不充分 C. 充要 D. 既不充分也不必要13（2017闵松二模）. 设a 、b 分别是两条异面直线1l 、2l 的方向向量，向量a 、b 的夹角的取值范围为A ，1l 、2l 所成的角的取值范围为B ，则“A α∈”是“B α∈”的（ ）条件A. 充要B. 充分不必要C. 必要不充分D. 既不充分也不必要14（2017普陀二模）. 若α、R β∈，则“βα≠”是“βαtan tan ≠”成立的（ ）条件A. 充分非必要B. 必要非充分C. 充要D. 既非充分也非必要。
2017年上海市高考数学·二模汇编 函数
2017届高中数学·二模汇编 函数一、填空题1、已知函数()()()220log 01x x f x x x ⎧≤⎪=⎨<≤⎪⎩的反函数是()1f x -，则12f -1⎛⎫= ⎪⎝⎭____________2、已知函数()f x x x a=-，若对任意[]12,3x ∈，[]22,3x ∈，12x x ≠，恒有1212()()()22x x f x f x f ++>，则实数a 的取值范围为___________． 3、对于给定的实数0k >，函数xkx f =)(的图像上总存在点C ，使得以C 为圆心，1为半径的圆上有两个不同的点到原点O 的距离为1，则k 的取值范围是_________．4、设()f x 是定义在R 上的奇函数, 当0x >时,3()2xf x =-. 则不等式()5f x <-的解为________. 5、设函数()||||a f x x x a =+-. 当a 在实数范围内变化时, 在圆盘221x y +≤内, 且不在任一()a f x 的图像上的点的全体组成的图形的面积为_________.6、已知函数2log 02()25()239x x x f x x <<⎧⎪=⎨+≥⎪⎩，，．若函数()()g x f x k =-有两个不同的零点，则实数k 的取值范围是____________．7、设单调函数()y p x =的定义域为D ，值域为A ，如果单调函数()y q x =使得函数(())y p q x =的值域也是A ，则称函数()y q x =是函数()y p x =的一个“保值域函数”． 8、已知定义域为[],a b 的函数2()3h x x =-，函数()f x 与()g x 互为反函数，且()h x 是()f x 的一个“保值域函数”，()g x 是()h x 的一个“保值域函数”，则b a -=___________．9、已知()21xf x =-，则1(3)f-=10、若函数()2()1xf x x a =+-在区间[]0,1上有零点，则实数a 的取值范围是 11、函数⎪⎭⎫⎝⎛-=x y 11log 2的定义域为 12、若函数1log log )(222+-=x x x f （2≥x ）的反函数为)(1x f -，则)3(1-f=13、已知定义在R 上的函数()f x 满足：①()(2)0f x f x +-=；②()(2)0f x f x ---=；③ 在[1,1]-上表达式为[1,0]()1,(0,1]x f x x x ∈-=-∈⎪⎩，则函数()f x 与122,0()log ,0x x g x x x ⎧≤⎪=⎨>⎪⎩的图像在区间[3,3]-上的交点的个数为14、若函数()2()1xf x x a =+-在区间[]0,1上有零点，则实数a 的取值范围是15、设)(x f 为R 上的奇函数．当0≥x 时，b x x f x++=22)( (b 为常数)，则)1(-f 的值为____16、设)(1x f-为12)(+=x x x f 的反函数，则=-)1(1f ________ 17、若2131)(--=xx x f ，则满足0)(>x f 的x 的取值范围是_______18、设R ∈x ，用][x 表示不超过x 的最大整数（如2]32.2[=，5]76.4[-=-），对于给定的*N ∈n ，定义)1][()1()1][()1(+--+--=x x x x x n n n C x n ，其中),1[∞+∈x ，则当⎪⎭⎫⎢⎣⎡∈3,23x 时，函数xC x f 10)(=的值域是_______________19、函数y 的定义域是 ．20、若函数3 (0),() 1 (0)x x a x f x a x -+<⎧=⎨+≥⎩(a >0,且a ≠1)是R 上的减函数，则a 的取值范围是21、函数21()(2)1xx f x x x ⎧≤⎪=⎨->⎪⎩，如果方程()f x b =有四个不同的实数解1x 、2x 、3x 、4x ，则1234x x x x +++=22、设点()9,3在函数()()()log 10,1a f x x a a =->≠的图像上，则()f x 的反函数()1f x -=________．二、填空题1、若存在t R ∈与正数m ，使()()F t m F t m -=+成立，则称“函数()F x 在x t =处存在距离为2m 的对称点”，设()()20x f x x xλ+=>，若对于任意t ∈，总存在正数m ，使得“函数()f x 在x t =处存在距离为2m的对称点”，则实数λ的取值范围是（ ）A. (]0,2B. (]1,2C. []1,2D. []1,42、若()f x 为奇函数，且0x 是()xy f x e =-的一个零点，则0x -一定是下列哪个函数的零点 （ ）A ．()1xy f x e =+ B ．()1x y f x e-=--C ．()1x y f x e =-D ．()1xy f x e =-+3、对于定义在R 上的函数()f x , 若存在正常数,a b , 使得()()f x a f x b +≤+对一切x ∈R 均成立, 则称()f x 是“控制增长函数”。
上海市各区2017-2018年高三英语二模汇编最新最全----语法填空-带答案(已经校对终结版)
II. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Nook’s arrival, Good or Bad?Booklovers, most of them, will tell you (21)______ a pleasure it is to lend a favorite read to a friend – the novel you stayed up all night to get to the end of; the travel book that made you feel (22)____ ____ you yourself were on a train ride through India. For a while it seemed that e-book users were to be denied this pleasure of lending to friends. You could buy a book or magazine for your reading device, but you couldn’t lend it out.But now, with the Nook, the US book chain Barnes and Noble’s response to Amazon’s Kindle, electronic readers will be able to have their latest literary enthusiasm (23)_____ (press) on their friends, just like readers of physical books can. You simply email the book from your Nook and your friend can read it for two weeks, (24)______ (use) any device with the Barnes & Noble e-book reader software. It’s a big improvement from previous e-book readers.The Nook offers other features too. You read in black and white on the main screen, just like with Kindle. The difference is (25)______ on the lower part of the device there’s a color touch screen, (26)______ allows you to browse through a book or magazine, but goes black when you’re not using it so that you save power.(27)______ exciting thing about the Nook is that it offers Wi-Fi, arguably a big advance on previous e-book readers. Customers in the United States can use the Internet connection (28)______ (read) whole e-books at Barnes and Noble’s hundreds of bookstores for free. None of Ba rnes and Noble’s competitors can come close to this.But the Nook, ironically, (29)______ (turn out) to be a money-loser for Barnes and Noble, or at least a job-loser for Barnes and Noble’s employees. According to Marian Maneker at The Big Money Website, (30)______ the Nook is successful it might take sales from the company’s bookstores, eventually forcing their closure and the loss of thousands of jobs.KEYS:21. what 22. as if/though 23. pressed 24. using 25. that 26. which 27. Another 28. to read 29. has turned out (turns out) 30. ifⅡ. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Wildlife secrets of Nigeria's last wildernessResearchers from Chester Zoo, working with the Nigeria National Park Service, surveyed over 1,000 square kilometres of the national park. Known （21）__ __ its mountain rainforests, savannah woodlands and rolling grasslands, it is home to some of West Africa's most endangered animals.The cameras (22) (spot) some animals that have never been recorded before in the area and others, like chimps, (23) are rarely seen. Stuart Nixon, the Africa Field Programme Co-ordinator at Chester Zoo, said confirmation of the locations of chimps was an important discovery." Gashaka's been regarded for many years as (24)_____ (have) the biggest population of this Nigeria-Cameroon chimp, which is the rarest chimp subspecies," he said." We consider it the most important population - that's really (25)_______we need to count it and see what the status of the chimp is right now - that will ultimately affect what we know about this subspecies elsewhere."The chimp (26)_______(endanger) across its range in Cameroon and Nigeria. Its total population is down to fewer than 9,000 individuals, of which about 1,000 are thought (27)________(live) to live within the borders of the national park. "It's an incredible tool to use these camera traps and to reveal that this park - which is a (28)______(forget)forgotten wilderness, really, for Nigeria - still has a really important reservoir of important species for Nigeria and Africa in general," said Stuart Nixon.Chester Zoo is funding guards for the rangers and providing training in wildlife monitoring and protection. "This work is helping us learn more about the secrets of one of our last wilderness areas and we must continue to work together to ensure (29)________survival for future generations. "(30)_________ all this beauty were lost it would be a terrible tragedy for all."Keys:21 for 22. spotted 23. which 24. having 25. why 26. is endangered 27. to live 28. forgotten 29. its 30. IfII. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Pumas are large, cat-like animals which are found in America. When reports came into the London Zoo that a wild puma (21)_______ (spot) forty miles south of London, they were not taken seriously. However, as the evidence began to accumulate, experts decided to investigate.The hunt (22)_______ the puma began in a small village where a woman (23)_______ (pick) blackberries saw “a large cat” only five yards away from her. It immediately ran away when she saw it, and experts confirmed that a puma will not attack a human being (24)________ it is cornered. The search proved difficult, for the puma was often observed at one place in the morning and at (25)_______ place twenty miles away in the evening. (26)_______ it went, it left behind it a trail of dead deer and small animals like rabbits. Several people complained of “cat-like noises” at night and a businessman on a (27)_______ (fish) trip saw the puma up a tree.The experts were now fully convinced that the animal was a puma, (28)_______ where had it come from?As no pumas had been reported missing from any zoo in the country, this one (29)_______ have been in the possession of a private collector and somehow managed to escape. The hunt went on for several weeks, but the puma was not caught. It is disturbing (30)_______(think) a dangerous wild animal is still at large in the quiet countryside.KEYS:21. had been spotted 22. for 23. picking 24. unless 25. another26. Wherever 27. fishing 28. but 29. must 30. to thinkⅡ. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.A Great FriendshipThomas Jefferson and James Madison met in 1776. Could it have been any other year? They worked together and started to further American Revolution and later to shape the official new plan of the government.(21)_______ (develop) a close friendship, which lasted for 50 years. There were(22)_______ (share) purposes and a common end on both sides. Four and a half months(23)_______ he died, when he was ill and worried about his family, Jefferson wrote to his longtime friend. His words and Madison's reply remind us that friends are friends till death."The friendship which (24)________ (exist)between us for half a century, the harmony of our political principles an pursuits have been sources of constant happiness to me through that long period. it's also been a great comfort to me (25)_______ (believe)that you are engaged in vindicating(证实)to the younger generation the course that we've pursued for preserving to them. If ever the earth has noticed a system of administration conducted with (26)_______ single and keen eye to the general interest and happiness of those committed to, it must be the system protected by truth, to (27)_______ our lives have been devoted. To myself, you have been a great supporter throughout life. Take care of me when dead and be assured that I should leave with you my last affections.”A week later, Madison replied.“You cannot look back (28)_______ the long period of our private friendship and political harmony with more affecting recollections than I do. (29)_______ they are a source of pleasure to you, they are the same to me. We cannot be deprived(失去)of the happy consciousness of the puredevotion to the public good and I have confidence (30)_______ sufficient evidence will find its way to another generation to ensure, after we are gone, whatever of justice may be withheld while we are here.”Keys:21. developing 22. shared 23. before 24. has existed 25. to believe26. a 27. which 28. to/on 29.If 30. thatII. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Traveling Frog Stimulates ReflectionA free mobile game about a traveling frog has become a hit in China, (21)________ being available only in Japanese.Called “Tabikaeru: Travel Frog”, the main character of the game is a frog that goes on adventures around Japan. Players collect clovers(四叶草) that grow in the frog’s garden (22)________ ________ they can use them to buy supplies for the frog’s journeys. In turn, the frog sends players souvenirs and snapshots from its travels. Users cannot control when the frog chooses to go on its adventures.While news of the game’s appeal among mobile phone users on the mainland was first reported on by local media outlets last week, its popularity hasn’t decreased in any way since: “Travel Frog” on Monday was still ranked first on a list of the most (23)__________(download)g ames from Apple’s app store in China. It is being widely discussed on social media,(24)__________ users post photos of their frogs’ adventures.Behind the craze is Japanese game developer Hit-Point, which was previously best-known for creating the popular cat-collecting game “Neko Atsume”. Even though (25)__________ is difficult to pinpoint what has driven interest among mainland users in “Travel Frog”, local mediaoutlets reported that the game’s slow nature was part of its charm.The game was popular as it “tapped the trend among younger generations in China to search out ‘Zen-like’ activities”, China Daily said, (26)_________(add) that those users were taken with its “Buddha-style gameplay”.But not everyone is thrilled about “Travel Frog”. In a post on social media platform Weibo last week, the state-run People’s Daily suggested that peopl e (27)__________ aim to enrich themselves and “avoid being a lonely frog-raising youth”.As an indication of the popularity of the “Travel Frog”, Apple has already had to remove from its store an app that appeared to be the Chinese version of the original, the South China Morning Post reported. That version of the game, which (28)__________(create) by a developer called Song Yang, charged users 30 yuan ($4.74) to download the game. On Monday, another free-to-download app available on the app store claimed it offered strategies and guides in Chinese that players could adopt (29)___________(improve) gameplay.While Hit-Point has not responded to inquiries about (30)_________ it intends to develop versions of the game in other languages or not, the company did put out an English update for “Neko Atsume” in 2015.KEYS:21. despite 22. so that 23. downloaded 24. where 25. it25. adding 27. should 28. was created 29. to improve 30. whetherII. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Aunt Jane is now well over seventy, but she is still a great cinema-goer. The cinema in our town closed down years ago and sometimes she has to travel twenty miles or more to see a good film. And once a month at least she goes up to London to see (21)________ (late) foreign films.Of course she could see most of these films on television, but the idea does not attract her. "It isn't the same," she says. "For one thing, the screen's too small. Besides, I like going to the cinema!"However, one thing which has always puzzled us is that (22)________ Aunt Jane has lots of friends and enjoys company, she always goes to the cinema alone. We discovered the reason for this only recently-from Mother. "It may surprise you to lean that Aunt Jane wanted to be an actress when she was young, "she told us. "She used to wait outside film studios all day, just (23)__________ (appear)in crowd scenes. Your aunt has probably appeared in dozens of films. Sometimes she did not even know the name of the film they(24)__________ (make). Therefore, she couldn't go to see(25)__________ in the film at the cinema!"All the time, of course, she was looking for a small part in a film. Her big chance came (26)_________ they started to make a film in our town. Jane managed to meet the director at a party and he offered her (27)__________ role as a shopkeeper. It really was a very small part, but it was an important moment for Jane. Before the great event, she rehearsed for days. In fact, she turned the sitting-room into a shop! We all had to help, going to and out of the shop (28)__________ she could remember her words perfectly And(29)__________ the actual day she was marvelous. Jane thought that this was the beginning of her film career!"Unfortunately, in the end, they did not include the shop scene in the film. But nobody told Jane! When the film first appeared in London, she took all her friends to see it. And of course she wasn't in it! It was a terrible blow! She stopped (30)_________ (go)to film studios and gave up the idea of becoming an actress. She still loves the cinema, as you all know, but from that day she has always gone alone!"Keys:21 the latest 22. though 23. to appear 24. were making 25 herself26. when 27. a 28. until 29. on 30. goingII. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Time to End LonelinessUS author Henry Rollins once wrote: "Loneliness adds beauty to life. It puts a special burn on sunsets and makes night air smell better. Indeed, in the eyes of artists, loneliness never seems to go out of style. There are paintings that portray loneliness, songs that (21)_______ (inspire) by loneliness, and many works of literature that center around this theme.In the eyes of UK economist Rachel Reeves, however, loneliness is far from romantic. Instead, it's a "giant evil" that's become a serious problem in the country.On Jan 17, UK Prime Minister Theresa May appointed politician Tracey Crouch as the country’s very first "Minister for Loneliness". Her job is (22)______ (deal) with the loneliness that the country's been feeling—a problem which, according to UK government research, is affecting more than 9 million people in the country, and (23)______be more harmful to one's physical and mental health than smoking 15 cigarettes a day.Back in 2014, the UK was given the title of the "loneliness capital of Europe" by The Telegraph. A survey carried out by the newspaper found that British people were (24)______ (likely) to get to know their neighbors or build strong relationships with people than those from other European countries.But this doesn't mean it is the problem (25)_____ (affect) Britons only. In fact, were all suffering from loneliness now more than ever, in spite of most of the world now being linked to the internet, (26)______ has enabled us to be more connected than ever.(27)________ we need, according to Kim Leadbetter, sister of the late UK politician Jo Cox, is to have "proper human connections"."Our lives nowadays are so busy. We spend the vast majority of our time on our phones, on our laptops. (28)_______ _______ _______ busy we are, we need to press pause on that and actually sit down and speak to human beings," Leadbetter said at an event last year.But the first steps toward (29)_______ (fight) this problem are to accept its existence and not be ashamed or frightened by it. After all, (30)______ loneliness, many beautiful paintings, songs, and literary works wouldn't even exist. Whether it is "evil" or not, being lonely is simply part ofthe experience of being human.Keys:21 are inspired 22. to deal 23. can/may 24. less likely 25 affecting26. which 27. what 28. No matter how 29. fighting 30. withoutII. Grammar and vocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Uh-oh, the new year's just begun and already you're finding it hard to keep those resolutions to junk the junk food, get off the couch or kick smoking. There's a biological reason why a lot of our bad habits are so hard to break – they get (21)_______ (wire) into our brains."Why are bad habits stronger? You're fighting against the power of an immediate reward," says Dr. Nora Volkow, director of the National Institute on Drug Abuse and an authority on the brain's pleasure pathway."We all as creatures are hard-wired that way, to give greater value to an immediate reward as opposed to (22)________ is delayed," Volkow says.How this bit of happiness turns into a habit involves a pleasure-sensing chemical named dopamine. It causes the brain (23)_______ (pursue) that reward again and again strengthening the connection each time – especially when it gets the right cue from your environment.People tend to overestimate their ability to resist temptations around them, thus (24)________ (destroy) attempts to shed bad habits. Even scientists who recognize it (25)_______ show weakness. "I know popcorns are not healthy. But every time I go to the cinema, I have to eat it," Volkow says. "It's fascinating."A movement to pay people for behavior changes may exploit that connection, as some companies offer employees outright payments or insurance rebates for adopting better habits.(26)______ well paying for behavior plays out, researchers say there are still some steps thatmay help fight your brain's hold (27)_______ newly-established habits:Repeat, repeat, repeat the new behavior –the same routine at the same time of day. You decide to exercise. Doing it at the same time of the morning, rather than fitting it in casually, (28)_______(make) the striatum(终脑皮层) recognize the habit, "if you don't keep doing it, you will feel frustrated.Exercise itself raises dopamine levels, so eventually your brain will get a feel-good hit (29)_______ your muscles protest。
2017-2020上海市高三数学二模解析几何填选压轴题(试题版)
2017-2020上海市高三数学二模解析几何填选压轴题（试题版）【考点1】曲线与轨迹方程10（2020金山二模）. 若点集22{(,)|1}A x y x y =+≤，{(,)|22,11}B x y x y =-≤≤-≤≤，则点集12121122{(,)|,,(,),(,)}Q x y x x x y y y x y A x y B ==+=+∈∈所表示的区域的面积是11（2018崇明二模）. 已知,x y ∈R，且满足00y y y +≤-≥≥⎪⎩，若存在θ∈R 使得cos sin 10x y θθ++=成立，则点(,)P x y 构成的区域面积为12（2018青浦二模）. 已知22sin 1cos 1a a M a a θθ-+=-+（,a θ∈R ，0a ≠），则M 的取值范围是12（2018长嘉二模）. 若实数x 、y 满足114422x y x y +++=+，则22x y S =+的取值范围是12（2019黄浦二模）. 已知复数集合{i |||1,||1,,}A x y x y x y =+≤≤∈R ，221133{|(i),}44B z z z z A ==+∈，其中i 为虚数单位，若复数z A B ∈，则z 对应的点Z 在复平面内所形成图形的面积为12（2018闵松二模）. 设*n N ∈，n a 为(4)(1)n nx x +-+的展开式的各项系数之和，324c t =-，t ∈R ，1222[][][]555n n n na a a b =++⋅⋅⋅+（[]x 表示不超过实数x 的最大整数），则22()()n n t b c -++的最小值为12（2020金山二模）. 设n ∈*N ，n a 为(2)(1)n nx x +-+的展开式的各项系数之和，162m t =-+，t ∈R ，1222[][][]333n n n na a a b =++⋅⋅⋅+（[]x 表示不超过实数x 的最大整数），则22()()n t b m -+-的最小值为12（2020黄浦二模）. 点A 是曲线22y x +（2y ≤）上的任意一点，(0,2)P -，(0,2)Q ，射线QA 交曲线218y x =于B 点，BC 垂直于直线3y =，垂足为点C ，则下列结论： （1）||||AP AQ -为定值22 （2）||||QB BC +为定值5；（3）||||||PA AB BC ++为定值52+ 其中正确结论的序号是12（2020金山二模）. 设n ∈*N ，n a 为(2)(1)n nx x +-+的展开式的各项系数之和，162m t =-+，t ∈R ，1222[][][]333n n n na a a b =++⋅⋅⋅+（[]x 表示不超过实数x 的最大整数），则22()()n t b m -+-的最小值为15（2019长嘉二模）. 已知圆的圆心为，过点且与轴不重合的直线交圆于、两点，点在点与点之间，过点作直线的平行线交直线于点，则点的轨迹是（ ）A. 圆的一部分B. 椭圆的一部分C. 双曲线的一部分D. 抛物线的一部分15（2017静安二模）. 曲线C 为：到两定点(2,0)M -、(2,0)N 距离乘积为常数16的动点P 的轨迹，以下结论正确的个数为（ ）① 曲线C 一定经过原点；② 曲线C 关于x 轴对称，但不关于y 轴对称；③ △MPN 的面 积不大于8；④ 曲线C 在一个面积为60的矩形范围内. A. 0 B. 1 C. 2 D. 322(2)9x y -+=C (2,0)M -x l C A B A M B M AC BC P P【考点2】直线方程；【考点3】圆的方程11（2018奉贤二模）. 角α的始边是x 轴正半轴，顶点是曲线2225x y +=的中心，角的终边与曲线2225x y +=的交点A 的横坐标是3-，角2α的终边与曲线2225x y +=的交点是B ，则过B 点的曲线2225x y +=的切线方程是 （用一般式表示）11（2017奉贤二模）. 已知实数x 、y 满足方程22(1)(1)1x a y -++-=，当o y b ≤≤（b R ∈）时，由此方程可以确定一个偶函数()y f x =，则抛物线212y x =-的焦点到点(,)a b 的轨迹上点的距离最大值为11（2018青浦二模）.已知曲线:C y =:2l y =，若对于点(0,)A m ，存在C 上的点P 和l 上的点Q ，使得0AP AQ +=，则m 取值范围是12（2017长宁二模）. 对于给定的实数0k >，函数()kf x x=的图像上总存在点C ，使得以C 为圆心，1为半径的圆上有两个不同的点到原点O 的距离为1，则k 的取值范围是αF16（2020闵行二模）. 关于x 的实系数方程2450x x -+=和220x mx m ++=有四个不同的根，若这四个根在复平面上对应的点共圆，则m 的取值范围是（ ）A. {5}B. {1}-C. (0,1)D. (0,1){1}-16（2018徐汇二模）. 如图，圆C 分别与x 轴正半轴、y 轴正半轴相切于 点A 、B ，过劣弧AB 上一点T 作圆C 的切线，分别交 x 轴正半轴，y 轴正半轴于点M 、N ，若点(2,1)Q 是切 线上一点，则△MON 周长的最小值为（ ） A. 10 B. 8 C.45 D. 12【考点4】椭圆方程及相关综合题型10（2020虹口二模）. 已知1F 、2F 是椭圆222:13x y C a +=（3a >）的左、右焦点，过原点O 且倾斜角为60°的直线与椭圆C 的一个交点为M ，若1212||||MF MF MF MF +=-，则椭圆C 的长轴长为12（2018普陀二模）. 点1F 、2F 分别是椭圆22:12x C y +=的左、右焦点，点N 为椭圆C的上顶点，若动点M 满足：212||2MN MF MF =⋅，则12|2|MF MF +的最大值为12（2018静安二模）. 已知集合2{(,)|()20}A x y x y x y =+++-≤，222{(,)|(2)(1)}2aB x y x a y a a =-+--≤-，若AB ≠∅，则实数a 取值范围为16（2017徐汇二模）. 过椭圆2214x y m m +=-(4)m >右焦点F 的圆与圆22:1O x y +=外切，则该圆直径FQ 的端点Q 的轨迹是（ ）A. 一条射线B. 两条射线C. 双曲线的一支D. 抛物线【考点5】双曲线方程及相关综合题型11（2017宝山二模）. 设向量(,)m x y =，(,)n x y =-，P 为曲线1m n ⋅=(0)x >上的一个动点，若点P 到直线10x y -+=的距离大于λ恒成立，则实数λ的最大值为11（2018金山二模）. 已知双曲线22:198x y C -=，左、右焦点分别为1F 、2F ，过点2F 作一直线与双曲线C 的右半支交于P 、Q 两点，使得190F PQ ∠=︒，则1F PQ ∆的内切圆的半径r =12（2020普陀二模）. 设双曲线222:1x y aΓ-=（0a >）的左、右焦点分别为1F 、2F ，点M 在Γ的右支上，向量是(1,)d a =是直线1F M 的一个方向向量，若124F MF π∠=，则Γ的焦距为【考点6】抛物线方程及相关综合题型11（2020青浦二模）. 已知正三角形ABC 的三个顶点均在抛物线2x y =上，其中一条边所ABC 的三个顶点的横坐标之和为12（2020奉贤二模）. 在平面直角坐标系内有两点(,1)A m -，(2,1)B -，2m <，点A 在抛物线22y px =上，F 为抛物线的焦点，若2||||6AB AF +=，则m =12（2020杨浦二模）. 已知抛物线1Γ与2Γ的焦点均为点(2,1)F ，准线方程分别为0x =与5120x y +=，设两抛物线交于A 、B 两点，则直线AB 的方程为15（2019徐汇二模）. 已知直线和直线，则抛物线上一动点到直线和直线的距离之和的最小值是（ ） A.B. C. 2 D.【考点7】其他问题15（2019崇明二模）. 已知线段AB 上有一动点D （D 异于A 、），线段，且满足（是大于0且不等于1的常数），则点的运动轨迹为（ ）A. 圆的一部分B. 椭圆的一部分C. 双曲线的一部分D. 抛物线的一部分16（2019金山二模）. 若实数a 、b 满足01012b a a b a ≥--≤+≤-⎧⎪⎨⎪⎩，则223b ab a -的取值范围是（ ） A. [2,0]- B. [)9,4-+∞ C. 9[,2]4-- D. []9,40-16（2017虹口二模）. 已知点(,)M a b 与点(0,1)N -在直线3450x y -+=的两侧，给出以下结论：① 3450a b -+>；② 当0a >时，a b +有最小值，无最大值；③ 221a b +>；④ 当0a >且1a ≠时，11b a +-的取值范围是93(,)(,)44-∞-+∞；正确的个数是（ ） A. 1 B. 2 C. 3 D. 416（2018崇明二模）. 在平面直角坐标系中，定义1212(,)max{||,||}d A B x x y y =--为两点11(,)A x y 、22(,)B x y 的“切比雪夫距离”，又设点P 及l 上任意一点Q ，称(,)d P Q 的最小值为点P 到直线l 的“切比雪夫距离”，记作(,)d P l ，给出下列三个命题： ① 对任意三点A 、B 、C ，都有(,)(,)(,)d C A d C B d A B +≥； ② 已知点(3,1)P 和直线:210l x y --=，则4(,)3d P l =； 1:4360l x y -+=2:1l x =-24y x =P 1l 2l 371611574B CD AB ⊥2CD AD BD λ=⋅λC③ 定点1(,0)F c -、2(,0)F c ，动点(,)P x y 满足12|(,)(,)|2d P F d P F a -=（220c a >>）， 则点P 的轨迹与直线y k =（k 为常数）有且仅有2个公共点； 其中真命题的个数是（ ） A. 0 B. 1 C. 2 D. 3。