2016年高考(238)闽粤联合体2016届高三第三次联考

2015—2016学年广东省“六校联盟"高三(上）第三次联考数学试卷（理科）一、选择题：本大题共12小题,每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的.1．已知集合M=｛x∈R｜}，N={x∈R|y=ln（x﹣1）｝，则M∩N(）A．∅B．{x|x≥1}C．{x|x＞1}D．｛x|x≥1或x＜0｝2．已知两条直线m，n，两个平面α，β,给出下面四个命题：①m∥n，m⊥α⇒n⊥α②α∥β，m⊂α，n⊂β⇒m∥n③m∥n,m∥α⇒n∥α④α∥β，m∥n，m⊥α⇒n⊥β其中正确命题的序号是（）A．①③B．②④C．①④D．②③3．下列四个条件中，p是q的必要不充分件的是（）A．p:a＞b,q:a2＞b2B．p:a＞b，q：2a＞2bC．p：非零向量与夹角为锐角,q：D．p：ax2+bx+c＞0，q：﹣+a＞04．设函数f（x)=x﹣lnx﹣，则函数y=f（x）(）A．在区间（）,（1，e）内均有零点B．在区间（），（1，e）内均无零点C．在区间（）内有零点,在区间(1,e）内无零点D．在区间（）内无零点，在区间（1,e）内有零点5．要得到函数y=cosx的图象,需将函数y=sin(2x+）的图象上所有的点的变化正确的是（）A．横坐标缩短到原来的倍（纵坐标不变)，再向左平行移动个单位长度B．横坐标缩短到原来的倍（纵坐标不变）,再向右平行移动个单位长度C．横坐标伸长到原来的2倍（纵坐标不变）,再向左平行移动个单位长度D．横坐标伸长到原来的2倍（纵坐标不变）,再向右平行移动个单位长度6．已知｛a n｝是等比数列，a2=，a5=4,则a1a2+a2a3+…+a n a n=(）+1A．(2n﹣1）B．（2n+4) C．(4n﹣1）D．（4n﹣2) 7．如果点P在平面区域,点Q在曲线x2+(y+2）2=1上,那么|PQ|的最小值为（）A．﹣1 B．2﹣1 C．2 D．﹣18．已知函数y=f(x）是定义在R上的奇函数，当x≤0时f（x）=2﹣x+m﹣1（m∈R），a=f （log45），b=（log23），c=f（m）,则a,b,c的大小关系为（）A．a＜b＜c B．b＜a＜c C．c＜a＜b D．c＜b＜a9．在△ABC中，己知D是AB边上一点,若=λ，=+μ(λ，μ∈R），则λ=() A．﹣2 B．﹣1 C．1 D．210．已知函数f(x）=f′（1)x2+2x f(x)dx+1在区间（a，1﹣2a）上单调递增，则实数a的取值范围是（）A．（，）B．[，) C．（﹣∞，）D．[,+∞)11．一个正三棱锥的四个顶点都在直径为2的球面上，其中底面的三个顶点在该球的一个大圆上,则该正三棱锥的体积是（）A．2B．C．D．12．已知定义在（0，+∞）上的连续函数y=f（x）满足：xf′（x）﹣f（x）=xe x且f（1）=﹣3,f（2）=0．则函数y=f（x)（）A．有极小值，无极大值B．有极大值，无极小值C．既有极小值又有极大值D．既无极小值又无极大值二、填空题：本大题共4小题，每小题5分，满分20分13．在△ABC中，内角A、B、C的对边长分别为a、b、c，已知a2﹣c2=3b,且sinAcosC=2cosAsinC，则b=．14．已知数列｛a n}的前n项和为S n，且满足S n=2a n﹣1（n∈N＊)，则数列{na n}项和T n．15．已知某个几何体的三视图如图,根据图中标出的尺寸，可得这个几何体的体积等于，全面积为．16．若不等式（﹣1)n a＜n+对任意n∈N＊恒成立，则实数a的取值范围是．三、解答题:包括必做题和选做题，第17题到第21题为必做题，解答应写出文字说明,证明过程或演算步骤．17．已知函数f（x)=cos（2x﹣）+2sin（x﹣）sin（x+）．(1)求函数f（x）的最小正周期和图象的对称轴方程；(2)求函数f（x）在区间［﹣，］上的最值．18．等差数列｛a n}各项均为正数，其前n项和为S n,a2S3=75且a1，a4，a13成等比数列．(1)求数列{a n}的通项公式a n；（2）若数列｛a n}为递增数列，求证：≤．19．如图，在三棱锥P﹣ABC中，PA⊥平面ABC，底面ABC是直角三角形，PA=AB=BC=4，O是棱AC的中点，G是△AOB的重心,D是PA的中点．（1）求证：BC⊥平面PAB;（2）求证：DG∥平面PBC；(3)求二面角A﹣PC﹣B的大小．20．已知点P是圆O：x2+y2=1上任意一点,过点P作PQ⊥y轴于点Q,延长QP到点M，使．（1)求点M的轨迹的方程;（2)过点C（m，0）作圆O的切线l,交(1）中曲线E于A，B两点，求△AOB面积的最大值．21．已知函数f（x）=ln（x+1）+ax2﹣x（a∈R）．（1）若a=,求曲线y=f(x）在点(0，f（0）)处的切线方程；（2）讨论函数y=f（x）的单调性；（3）若存在x0∈[0,+∞)，使f（x）＜0成立,求实数a的取值范围．请考生在第（22)，（23），（24）三题中任选一题作答．注意:只能做所选定的题目．如果多做，则按所做的第一个题目计分，作答时请用2B铅笔在答题卡上将所选题号后的方框涂黑．选修4—1：几何证明选讲22．如图，已知圆O是△ABC的外接圆，AB=BC，AD是BC边上的高，AE是圆O的直径．过点C作圆O的切线交BA的延长线于点F．（Ⅰ）求证：ACBC=ADAE；（Ⅱ）若AF=2，CF=2，求AE的长．选修4-4:坐标系与参数方程.23．在平面直角坐标系xOy中，直线l的参数方程为（t为参数）．在以原点O为极点，x轴正半轴为极轴的极坐标中，圆C的方程为ρ=2sinθ．（1）写出直线l的普通方程和圆C的直角坐标方程；(2）设点P（3，），直线l与圆C相交于A、B两点，求+的值．选修4-5：不等式选讲。

2016届广东省“六校联盟”高三第三次联考英语试题2016届“六校联盟”高三第三次联考英语试题命题学校：深圳实验2015，12，18本试卷共8页，三大题，满分120分。

考试用时120分钟。

第一部分阅读理解（共两节，满分40分）第一节 (共15小题；每小题2分，满分30分) 阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。

AShenzhen, one of the biggest cities in the south of China, is nicknamed the heaven of shopping. It attracts millions of visitors every year from all over the world. There are a large number of shopping malls to suit different tastes for tourists and guests to shop. Here are some great places where you can shop in Shenzhen.MixCThe magnificent MixC shopping mall is one of Shenzhen’s oldest shopping malls, providing an electric mix of exciting stores and fun amusements! MixC is located at No.1881 Shen Nan East Road and owns a mixture of retail boutiques (时装店), like Footlocker and Ashley Stewart. You can visit MixC Mondays through Saturdays from 10:00 a.m. to 11:00 p.m., and Sundays from noon to 10:00 p.m.KK MallThe newest and trendiest shopping destination in the city is KK Mall. This shopping mall has all your national favorites like Dillard’s, Barnes & Noble and Target as well as a great restaurant selection. KK Mall is open from 10:00 a.m. to 9:00 p.m. Mondays through Saturdays and 11:00 a.m. to 9:00 on Sundays.Coco ParkOn the crossing of Fuhua Road and Jintian Road stands the Coco Park shopping mall. Children like riding on the mall’s mini train while adults like to shop and socialize. Movie fans will like knowing that the Broadway Cinema in Coco Park has a 24 screen AMC theatre. You can visit this mall from 10:00 a.m. to 9:00 p.m. Mondays through Saturdays, and Sundays from noon to 9:30 p.m.Coastal CityCoastal City shopping mall, located in Nanshan District of Shenzhen, is the largest shopping mall in the city with 70 shops including such stores as Lowes, Wal-Mart Super Center, Pet Smart and Old Navy. All these shops can be found at the open-air plaza. The mall’s 14 modern theaters are a great attraction for movie buffs. Coastal City’s hours of operation are 9:00 a.m. to 9:00 p.m. Mondays through Saturdays and 11:00 a.m. to 10:00 p.m. on Sundays.1.If you want to enjoy a good dining during shopping you can go to __________.A.KK MallB. Coastal CityC. Coco ParkD. MixC2.Children would like to visit Coco Park probably because________.A.they can buy a lot of wonderful toysB.they can take the mini train thereC.they can play their favorite computergames D. they can make many friends there3.What is probably a good time to visit Coastal City on Sundays?A. 10:00 a.m.B. 8:30 a.m.C. 9:00 a.m.D. 6:30 p.m.Bin The Atlantic magazine, “2 Broke Girls is about how people (not the super-rich) began to see themselves as part of the same uncertain economy, rather than divided into working-class, middle-class and others.”4. What is the passage mainly about ?A. The pure friendship of two American girls from different classes.B. The unique characteristics of two American girls from different classes .C. How two American girls overcome their parents’ disapprov al to do business.D. How two American girls from different classes struggle to start a business. 5. In the TV show, Max Black and CarolineChanning _____________.A. have more or less similar families and education backgrounds.B. are both clever, optimistic and ambitious school graduates.C. have different personalities but share the same dream.D. save a large amount of money by working in a cupcake shop.6. What is the social problem reflected in this TV show according to the passage?A. In the US, the poor suffered more thanthe wealthy in the 2008 economic crisis.B. The 2008 economic crisis put everybodyin the US in the same position.C. The 2008 economic crisis somewhatbridged the gap between the rich and the poorD. Some people suffered from the 2008economic crisis, but others benefited greatly.7. The best title of the passage can be _____________.A. An American DreamB. TwoDreaming GirlsC. Poor American’s DreamD. Waitresses of The DreamCMany years later as he faced the firing squad, Colonel Aureliano Buendía was to remember that distant afternoon when his father took him to discover ice. At that time Macondo was a village of twenty mud brick houses, built on the bank of a river of clear water that ran along a bed of polished stones. The world was so recent that many things lacked names.Every year during the month of March a family of ragged gypsies (吉普赛人) would set up their tents near the village, and with a great sound of pipes and kettledrums they would display new inventions. First they brought the magnet. A heavy gypsy with a wild beard and sparrow hands, who introduced himself as Melquíades, put on a public presentation he himself called the eighth wonder of the learned alchemists (炼金术士) of Macedonia. He went from house to house dragging two metal pieces and everybody was amazed to see iron things drop down from their places and even iron objects that had been lost for a long time appeared from where they had been searched for most. "Things have a life of their own," the gypsy said, "It's simply a matter of waking up their souls."José Arcadio Buendía thought it would be possible to make use of that useless invention to extract gold from inside the earth. Melquíades warned him: "It won't work for that." But José Arcadio Buendía did not believe in the honesty of gypsies, so he traded his horse and a pair of goats for the two magnetized pieces. José Arcadio Buendía’s wife, úrsula Iguarán, who reliedon those animals to increase their poor family condition, was unable to persuade him.For several months he worked hard to explore every inch of the region, even the riverbed, with a shovel, dragging the two iron pieces along and reciting Melquíades' incantation (咒语) aloud. The only thing he succeeded in doing was to unearth a suit fifteenth-century armor (铠甲) which had all of its pieces connected together with rust. When he managed to take the armor apart, he found inside a skeleton with a copper box containing a woman's hair around its neck.8. Which of the following about José ArcadioBuendía is TRUE?A. He was a villager from Macondo, aremote village where gypsies lived.B. He wanted to make money with the two metal pieces bought from the gypsy.C. He lived in Macondo with úrsula Iguarán for several months to extract gold.D. He traded his horse and a goat for magnets and finally found a valuable armor.9. What can we infer from Paragraph 2?A. Colonel Aureliano Buendía missed his father.B. Melquíades se ttled in the village with his family.C. úrsula Iguarán was unwilling to buy the metal pieces.D. Melquíades was proud of the two metal pieces.10.The underlined word in the last paragraph means______________.A. knock outB. find outC.dig out D. turn out11. According to the passage, which of the following is WRONG?A. Macondo was a village built on the riverside with a small population.B. A skeleton inside the old armor was discovered by José Arcadio Buendía.C. Some gypsies thought that things in the world had souls of their own.D. Macondo villagers hated gypsies because they always cheated them.DThe word “super-material” gets thrown around a lot these days: ceramic super-materials, aerogel super materials, elastomeric super material. But one super-material beats them all, earning its discoverers a Nobel Prize and defining the upper limit for scientific excitement. It’s called graphene (石墨烯), the granddaddy of the modern boom in materials science.Graphene was accidentally discovered in 2010 by two scientists, Andre Geim and Kostya Novoselov, at Manchester University, UK. What exactly is it? The idea is easy enough to come up with: what if we could take a diamond and cut it into pieces just one atom thick? This would make it a so-called “two-dimensional” substance, made entirely out of carbon, yet flexible in a way that diamond cannot be. It not only has the incredible physical properties you’d expect from the strongest materials, but also has unbelievably high electrical conductivity (传导性).Being atomically small, graphene is suitable for a wide range of applications - not least in electronics. It allows many industries to take huge steps forward. There’s bioengineering, where scientists hope to use graphene’s unbelievably small size to enter cell walls, potentially put amolecule (分子) of the researchers’ choice. Graphene could also be used to create an ultra-fine, anti-biotic water filter (过滤器) for quick, easy filtration of possibly dangerous drinking water. It’s not surprising that designers and engineers are letting their imaginations run wild at the thought.Graphene will change the world — the only question is whether it will do so directly, or indirectly. Definitely, it is inspiring a new generation of two-dimensional material science, and will be incredibly important in shaping the face of the modern world.12. Which of the following best describesgraphene?A. It is a super-material with lowflexibility and high conductivity.B. It was discovered by two scientists in the UK 3 years ago.C. It has incredible physical properties and electrical conductivity.D. It is one-atom thick and can get into cell walls easily.13. What is the writer’s attitude toward graphene?A. indifferentB.doubtfulC. positiveD.suspicious14. How does the writer develop Paragraph 3?A. By explaining causesB. By giving examplesC. By listing statisticsD. By drawing conclusions15. What does the underlined sentence in the last paragraph mean?A. Graphene might be very useful in alimited variety of fields.B. Graphene and graphene-related industries will advance the world.C. Scientists are still questioning whether grapheme is useful or not.D. There exists a disadvantage about graphene although it is very useful.第二节（共5小题；每小题2分，满分10分）根据短文内容，从选项中选出能填入空白处的最佳选项。

“四地六校”联考2015-2016学年上学期高三数学（文科）试题（考试时间：120分钟 总分：150分）第Ⅰ卷 (选择题 共60分)一、选择题（本大题共12小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的）1.已知集合A={x|-5≤2x-1≤3,x ∈R},B={x|x(x-8)≤0,x ∈Z},则A ∩B=( )A.(0,2)B.[0,2]C.{0,2}D.{0,1,2}2. 经过点(2,2)P -，且离心率e= 3 的双曲线方程是（ ）A ．12422=-y x B ．13222=+y x C ．14222=-y x D ．12422=-x y 3若x ＋2y ＝4，则2x ＋4y 的最小值是（ ）4、将长方体截去一个四棱锥，得到的几何体如下图所示，则该几何体的左视图为（ ）5．若·+=0,则△ABC 必定是( )A. 直角三角形B.锐角三角形C.钝角三角形D.等腰直角三角形6. 数列{(-1)n ·n}的前2016项的和S 2016为( )A.-2016B.-1008C.2016D.10087. 不等式组,x y 满足2300,2x y x y y +≤⎧⎪-≥⎨⎪≥-⎩所围成的平面区域面积是( )A ．3B ．32 C ．52 D ．58. 若33)24cos(,31)4cos(,02,20=-=+<<-<<βπαπβππα，则=+)2c o s (βα( ) A 33B 33- C ．935 D ．96-9、定义在R 上的奇函数f(x)满足f(x-4)=-f(x),且在区间[0,2]上是增函数,则( )A. f(5)<f(8)<f(2)B. f(2)<f(5)<f(8)C.f(5)<f(2)<f(8)D.f(8)<f(2)<f(5)10. 已知命题p:函数y=log a (ax+2a)(a>0且a≠1)的图象必过定点(-1,1);命题q:函数y=|sin x|的最小正周期为2π,则( )(A)“p∧q”为真 (B)“p∨q”为假(C)p 真q 假 (D)p 假q 真11．己知曲线322()13f x x x ax =-+-存在两条斜率为3的切线，且切点的横坐标都大于零，则实数a 的取值范围为(A)(3，+∞) (B)[ 3，72) (C) (一∞，72] (D)(0，3)12．已知向量a =(2cos α,2sin α),b =(3cos β,3sin β),a 与b 的夹角为60°,则直线xcos α-ysin α+=0与圆(x-cos β)2+(y+sin β)2=1的位置关系是( )A.相切B.相交C.相交且过圆心D.相离二.填空题: （本大题共4小题，每小题5分，满分20分）13. 设i 是虚数单位,复数为纯虚数,则实数a 为 .14. 椭圆2214x y m +=的离心率为12，则m =15．一个正三棱锥的四个顶点都在半径为1的球面上，其中底面的三个顶点在该球的一个大圆上，则该正三棱锥的体积是 ．16．已知函数()y f x =是定义在R 上的奇函数，对x R ∀∈都有(1)(1)f x f x -=+成立，当(0,1]x ∈且12x x ≠时，有2121()()0f x f x x x -<-。

2016闽粤名校联考试题及答案第二部分英语知识应用（满分45分）第一节单项填空（共15小题；每小题1分，满分15分）21. —I’m terribly sorry to have put you through so much trouble.—____. I know you didn’t mean to.A. You’re welcomeB. No troubleC. All rightD. Forget it22. I don’t like any humor in serious speech because I can’t think of any circumstance _______ this would be beneficial or useful.A. whereB. whichC. whetherD. as23. Just in front of our house _______ with a history of 1,000 years.A. does a tall tree standB. stands a tall treeC. is standing a tall treeD. a tall tree stands24. . published fifty years ago, his work still attracts much attention at present.A. AsB. ThoughC. Apart fromD. Despite25. –Guess what! We’ll have a chan ce to visit our sister school in Denmark this summer!--How nice! You ______ a different culture then.A. will have experiencedB. have been experiencingC. will be experiencingD. will have to experience26. 24. —How do you find Johnson’s last party?—Well, it couldn’t have been. In fact, I won’t go to his party next time.A. any betterB. any worseC. any worstD. any best27. — Shall we put off the match because of the bad weather?— No. Rain or shine, the match will be held as ______.A. scheduleB. schedulingC. scheduledD. to schedule28. What makes online shopping so popular is it shortens the distance between manufacturers and consumers.A .how B. that C. whether D. why29. Teaching is not ____ a matter of spreading knowledge----it also calls for theability to build up the students’ personality.A. simplyB. partlyC. equallyD. obviously30. This new model of car is so expensive that it is _____the reach of those withaverage incomes.A. overB. withinC. beyondD. below31. A notice was________in order to remind the students of the changed lecture time.A．sent up B．given upC．set up D．put up32. — Why do we get up so early?— If we _______ the flight we would have to stay here for another day.A. missB. would missC. missedD. had missed33. Tom’s little sister is a girl of great _______. She takes an interest in everything.A. ambitionB. cautionC. curiosityD. strength34.— What is the man, actually?—I don’t know for sure. But I think he can be _______ but a policeman.A. nothingB. somethingC. everythingD. anything35. the instructions on the packet when you take the drug and the drug, I think, will work soon.A. FollowB. To followC. FollowingD. Followed第二节完形填空（共20小题，每小题1. 5分，满分30分）阅读下面短文，从短文后各题所给的四个选项（A、B、C和D）中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。