2014年高考(410)广州市普通高中毕业班综合测试(一)

第Ⅰ卷（共40分）一、选择题：本大题共8个小题,每小题5分,共40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i 是虚数单位，若()234m i i +=-，则实数m 的值为（ ）A.2-B.2±C.D.22.在ABC ∆中，角A 、B 、C 所对的边分别为a 、b 、c ，若2C B =，则cb为（ ） A.2sin C B.2cos B C.2sin B D.2cos C3.圆()()22121x y -+-=关于直线y x =对称的圆的方程为（ ） A.()()22211x y -+-=B.()()22121x y ++-=C.()()22211x y ++-=D.()()22121x y -++=4.若函数()f x =的定义域为R ，则实数a 的取值范围是（ ）A.()2,2-B.()(),22,-∞-+∞C.(][),22,-∞-+∞D.[]2,2-5.某中学从某次考试成绩中抽取若干名学生的分数，并绘制成如图1所示的频率分布直方图，样本数据分组为[)50,60、[)60,70、[)70,80、[)80,90、[]90,100.若用分层抽样的方法从样本中抽取分数在[]80,100范围内的数据16个，则其中分数在[]90,100范围内的样本数据有（ ）A.5个B.6个C.8个D.10个6.已知集合32A x x Z Z x ⎧⎫=∈∈⎨⎬-⎩⎭且，则集合A 中的元素个数为（ ） A.2 B.3 C.4 D.57.设a 、b 是两个非零向量，则使a b a b ⋅=⋅成立的一个必要非充分的条件是（ ）A.a b =B.a b ⊥C.()0a b λλ=>D.//a b8.设a 、b 、m 为整数()0m >，若a 和b 被m 除得余数相同，则称a 和b 对模m 同余，记()mod a b m =.若0122202020202020222a C C C C =+⋅+⋅++⋅，且()mo d 10a b =，则b 的值可以为（ ）A.2011B.2012C.2013D.2014【解析】第Ⅱ卷（共110分）二、填空题（本大题共7小题，考生作答6小题，，每小题5分，满分30分）（一）必做题（9~13题）.9.若不等式1x a -<的解集为{}13x x <<，则实数a 的值为 .10.执行如图2所示的程序框图，若输出7S =，则输入()k k N *∈的值为 .【解析】11.一个四棱锥的底面为菱形，其三视图如图3所示，则这个四棱锥的体积是 .12.设α为锐角，若3cos 65πα⎛⎫+= ⎪⎝⎭，则sin 12πα⎛⎫-= ⎪⎝⎭.【解析】13.在数列{}n a 中，已知11a =，111n n a a +=-+，记n S 为数列{}n a 的前n 项和，则2014S = .（二）选做题（14~15题，考生只能从中选做一题）14.（坐标系与参数方程选做题）在极坐标系中，直线()sin cos a ρθθ-=与曲线2cos 4sin ρθθ=-相交于A 、B 两点，若AB =，则实数a 的值为 .15.（几何证明选讲选做题）如图3，PC 是圆O 的切线，切点为点C ，直线PA 与圆O 交于A 、B 两点，APC ∠的角平分线交弦CA 、CB 于D 、E 两点，已知3PC =，2PB =，则PEPD的值为 .三、解答题 （本大题共6小题，满分80分.解答写出文字说明、证明过程或演算步骤.）16.（本小题满分12分）已知函数()sin cos f x x a x =+的图象经过点,03π⎛⎫- ⎪⎝⎭. （1）求实数a 的值；（2）设()()22g x f x =-⎡⎤⎣⎦，求函数()g x 的最小正周期与单调递增区间.【解析】17.（本小题满分12分）甲、乙、丙三人参加某次招聘会，假设甲能被聘用的概率是25，甲、丙两人同时不能被聘用的概率是625，乙、丙两人同时能被聘用的概率为310，且三人各自能否被聘用相互独立.（1）求乙、丙两人各自被聘用的概率；（2）设ξ为甲、乙、丙三人中能被聘用的人数与不能被聘用的人数之差的绝对值，求ξ的分布列与均值（数学期望）.18.（本小题满分14分）如图5，在棱长为a 的正方体1111ABCD A BC D -中，点E 是棱1D D 的中点，点F 在棱1B B 上，且满足12B F BF =.（1）求证：11EF AC ；（2）在棱1C C 上确定一点G ，使A 、E 、G 、F 四点共面，并求此时1C G 的长；（3）求平面AEF 与平面ABCD 所成二面角的余弦值.【解析】B D，试题解析：（1）如下图所示，连接11在直角梯形11B C GF 中，下底112233B F BB a ==，直角腰11BC a =，斜腰2GF AE a ==，19.（本小题满分14分）已知等差数列{}n a 的首项为10，公差为2，等比数列{}n b 的首项为1，公比为2，n N *∈.（1）求数列{}n a 与{}n b 的通项公式；（2）设第n 个正方形的边长为{}min ,n n n c a b =，求前n 个正方形的面积之和n S . （注：{}min ,a b 表示a 与b 的最小值.）【解析】20.（本小题满分14分）已知双曲线()222:104x y E a a -=>的中心为原点O ，左、右焦点分别为1F 、2F ，点P 是直线23a x =上任意一点，点Q 在双曲线E 上，且满足220PF QF ⋅=.（1）求实数a 的值；（2）证明：直线PQ 与直线OQ 的斜率之积是定值；（3）若点P 的纵坐标为1，过点P 作动直线l 与双曲线右支交于不同的两点M 、N ，在线段MN 上去异于点M 、N 的点H ，满足PMMHPN HN =，证明点H 恒在一条定直线上.【解析】证法二：依题意，直线l 的斜率k 存在，设直线l 的方程为513y k x ⎛⎫-=- ⎪⎝⎭，21.（本小题满分14分）已知函数()()221x f x x x e =-+（其中e 为自然对数的底数）.（1）求函数()f x 的单调区间；（2）定义：若函数()h x 在区间[](),s t s t <上的取值范围为[],s t ，则称区间[],s t 为函数()h x 的“域同区间”.试问函数()f x 在()1,+∞上是否存在“域同区间”？若存在，求出所有符合条件的“域同区间”；若不存在，请说明理由.【解析】因为()110g =-<，()()010g x g <<，()22310g e =->，。

试卷类型：A 2014年广州市普通高中毕业班综合测试（一）语文2014.3 本试卷共8页，24小题，满分为150分。

考试用时150分钟。

注意事项：1．答卷前，考生务必用2B铅笔在“考生号”处填涂考生号。

用黑色字迹的钢笔或签字笔将自己所在的市、县／区、学校以及自己的姓名和考生号、试室号、座位号填写在答题卡上。

用2B铅笔将试卷类型（A）填涂在答题卡相应位置上。

2．选择题每小题选出答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑；如需改动，用橡皮擦干净后，再选涂其他答案。

答案不能答在试卷上。

3．非选择题必须用黑色字迹的钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内的相应位置上；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液。

不按以上要求作答的答案无效。

4．作答选做题时，请先用2B铅笔填涂选做题的题组号对应的信息点，再作答。

漏涂、错涂、多涂的，答案无效。

5．考生必须保持答题卡的整洁。

考试结束后，将试卷和答题卡一并交回。

一、本大题4小题，每题3分，共12分。

1．下列词语中加点的字，每对读音都不相同．．．．的一组是A．箴．言／斟．酌国粹．／仓猝．复辟．／开天辟．地B．撰．写／编纂．贬谪．／嫡．系冠．名／冠．冕堂皇C．对峙．／嗜．好竣．工／疏浚．提．防／提．心吊胆D．清澈．／掣．肘粗犷．／旷．达识．别／博闻强识．2.下面语段中画线的词语，使用不恰当．．．的一项是近几年，国内许多风景名胜区实行“一票制”，将景区内多个景点门票捆绑搭售。

这种做法引起了人们的置疑和不满，许多游客认为这是变相涨价。

一个知名景区要可持续发展，首先必须赢得游客的口碑，如果过分依赖“门票经济”做“一锤子买卖”，对游客的意见充耳不闻，一意孤行，一旦引起游客的反感乃至抵触，就可能造成难以挽回的损失。

A．置疑 B．一锤子买卖 C．充耳不闻 D．乃至3.下列句子中，没有语病．．．．的一句是A．著名作家村上春树连续五年排在诺贝尔文学奖获奖预测名单榜首，却年年与该奖无缘，可以堪称诺贝尔文学奖史上“最悲壮的入围者”。

2014年广州市普通高中毕业班综合测试（一）文科综合地理试题2014．3本试卷共11页，41小题，满分300分。

考试用时150分钟。

注意事项：1．答卷前，考生务必用黑色字迹的钢笔或签字笔将自己的姓名和学号填写在答题卡和答卷密封线内相应的位置上，用2B铅笔将自己的学号填涂在答题卡上。

2．选择题每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑；如需改动，用橡皮擦干净后，再选涂其他答案；不能答在试卷上。

3．非选择题必须用黑色字迹的钢笔或签字笔在答卷纸上作答，答案必须写在答卷纸各题目指定区域内的相应位置上，超出指定区域的答案无效；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液。

不按以上要求作答的答案无效。

4．考生必须保持答题卡的整洁和平整,切勿对折。

一、选择题：本题包括35小题，每小题4分，共140分。

每小题给出的四个选项中，只有一个选项符合题目要求。

1．以下是2014年某时段穗、港、澳三地的天气状况，影响三地气温日较差差异的最主要因素是A．纬度 B．地形 C．城市规模 D．海陆位置1、D 【本题解释】：本题主要考查气候的影响因素的基本考点。

影响“气温日较差”的因素有纬度（相同天气状况下，纬度越高气温日较差越小）、地形与天气状况等，从数据表中得出广州的气温日较差比香港、澳门要大，则说明香港澳门的云量或大气中的水汽较广州要多，是因为香港澳门受到海洋的影响较大，水汽较多，故选择海陆位置。

2013年12月初，“嫦娥三号”卫星从西昌卫星发射中心发射，首次获得月球降落区和巡视区的地形、地貌、地质构造等地理环境信息。

完成2～3题。

2．影响月球表面环境最主要的外力作用是A．风化作用 B．侵蚀作用 C．搬运作用 D．沉积作用3．由于月球的黄赤交角只有1°32′，远小于地球的23°26′，所以月球表面环境A．昼夜温差小 B．不会产生极昼、极夜现象C．季节变化小 D．没有太阳直射现象2、A3、C 【本题解释】：主要考查营造地表形态力量中的外力作用以及地球运动的地理意义。

2014年广州市普通高中毕业班综合测试（一）英语I．语言知识及应用（共两节，满分45分）第一节完形填空是（共15小题，每小题2分，满分30分）阅读下面短文，掌握其大意，然后从1~15各题所给的A、B、C和D项中，选出最佳选项，并在答题卡上将该项涂黑。

In America, if you are invited to a wedding , baby shower, bar mitzvah(成年礼)or other celebrations, you’re expected to bring a gift. Usually, it should be modest in 1 , about$25.For a wedding, the bride will often have “registered” a list of gifts at a local department store, indicating the items she 2 . When you buy a registered item, tell the store that you’re doing this , so the couple doesn’t receive the 3 gift twice. For a baby shower, bring a gift 4 for a newborn baby. For a bar mitzvah, bring a gift appropriate for a13-year-old boy. Because they are such important occasions, gifts for bar mitzvahs tend to be more 5 , for example, a gold-plated pen. 6 the pen by carving the boy’s full name will be appreciated.If you wish to give a gift to American friends, choose something that is 7 to your country. It needn’t be valuable or 8 , just typical of your home land.9 include a book about your country , an inexpensive souvenir , or something else that reflects your 10 . Yong children who like collecting will probably be very 11 with a set of your country’s coins or stamps. Items that are 12 in your country but difficult to find abroad are also good.If staying with an American family, a good way of expressing your thanks is to take them to a form of 13, such as a basketball game or a concert. When giving gifts to a business acquaintance, don’t give anything too personal,14 to a woman. A scarf or a hat is ok, but other types of 15 are not. Something appropriate for the office is best.1.A.sixw B. value C. weight D. appearance2.A.A prefers B. owns C. uses D. imagines3.A.firstr B. best C. same D. similar4.A.general B. suitable C. demanding D. expensive5.A.modest B. cheerful C. normal D. formal6.A.Personalizing B. Replacing C. Designing D. Changing7.A.convenient B. appropriate C. unique D. beneficial8.A.colourful B. rare C. heavy D. nice9.A.Opportunities B. Expectations C. Inventions D. Possibilities10.A.character B. interest C. culture D. progress11.A.annoyed B. impressed C. amused D. puzzled12.A.limited B. banned C. common D. pricelesscation B. discussion C. exercise D. entertainment14.A.diredtly B. especially C. merely D. deliberately答案：1-5BACBD 6-10 ACBDC 11-15 BCDBA第二节语法填空（While thousands of college students headed for warm climates to enjoy sun and fun during their week off from classes, seven local students had other plans.The Northern Essex Community College (NECC) students and one of their teachers spent part of their spring break in New York City , helping repair an area 16 (destroy ) by the hurricane .“ I wanted to see for myself what happened,” said Terry. “ I couldn’t imagine 17 it is like to lose your home and everything that you know and the 18 (power ) effect the hurricane had on those people. I wanted to do something, to understand their feeling of helplessness.”The group headed into Brooklyn’s Red Hook district, which was hit heard by the hurricane. There they net people from other parts of the country , 19 had also volunteered to help. Together, those volunteers and the NECC students 20 (work) to clear rubbish out of a three-story building. They put on protective suits and gloves 21 they entered the building.Inside the building, the students saw nothing but broken walls and doors and pieces of the building 22( lie) all over the place.The students returned to school with 23 sense of achievement, a felling that 24 helped people in need. It was remarkable how a community lost so much and was still able to recover, and this left the deepest impression 25 the students.答案：16.destroyed 17. what 18.powerful 19.who 20.worked 21.before 22.lying 23.a 24.they 25.onII 阅读（共两节，满分30分）AI once met a well-known botanist at a dinner party. I had never talked with a botanist before, and I found him very interesting . I sat there absorbed and listened while he spoke of unusual plants and his experiments (he even told me astonishing facts about the simple potato), I had a small indoor garden of my own – and he was good enough to tell me how to solve some of my problems.As I said ,we were at a dinner party. There mist have been a dozen other guests, but I broke an important rule of politeness. I ignored everyone else and talked for hours to the botanist .Midnight cane. I said good night to everyone and departed. The botanist then turned to our host and said many nice things about ne , Including that I was a “most interesting conversationalist:.An interesting conversationalist ? I had said hardly anything at all.I couldn’t have said anything if I had wanted to without changing the subject, for I didn’t know any more about plants than I knew about sharks. But I had done this one thing; I had listened carefully. I listened because I was really interested. And he felt it. Naturally that pleased him. That kind of listening is one of the best ways to show respect to others, and it makes them fell great too. “Few human beings.” Wrote Jack Woodford in Strangers in Love, “can resist the sweet effect of rapt attention.” I went even further that that .I was “sincere in my admiration and generous in my praise”. I told him that I had been hugely entertained and instructed . I told him I wished I had his knowledge. I told him that I should love to wander the fields with him. What’s more, it was all true. And so I had him thinking of me as a good conversationalist when , in reality, I had only been a good listener and had encouraged him to talk.26.From Paragraph1 we cam learn that the writer ____.A. was deeply moved by the botanist’s talkB. was amazed by what he was hearingC. was not in a comfortable situationD. behaved politely and properly27. Which of the following does the writer describe as a rule of politeness at dinner parties?A. Avoiding discussions about politics and religion.B. Listening carefully to what another guest says.C. Arriving and leaving at the appropriate time.D. Giving attention to all those in attendance.28.According to the writer, which of the following is an important characteristic of a good conversationalist?A. Listening attentively and encouraging the other side to continue.B. Encouraging the other side by sharing his /her own opinions.C. Promising a future meeting for more communication.D. Expressing respect by nodding his/her head.30.Waht is the purpose of the passage?A. To prove the writer is an interesting conversationalist.B. To share an interesting experience at a dinner party.C. To explain what makes a good conversationalist .D. To show that botanists can be really talkative.26-30BDBACB.A British dog-lover has invented a high-tech way of feeding his pet by Twitter( 推特，流行社交网络). Computer expert Nat Morris ,30, has designed a system to give his pet a “tweet treat” by sending him a Twitter message.His dog Toby gets some delicious dog biscuits from a computer-controlled food machine whenever Nat sends a message to “@ feedtoby”.Nat often works away from home and isn’t always able to feed Toby by hand. But his new invention allows Nat to feed his dog from anywhere in the world.Nat said .,” Toby absolutely loves it. At first he didn’t know what was going on . Now he sits underneath the machine, wagging his tail and waiting for the food to drop.”Nat fill s the food machine with small pieces of dog biscuits, but not too many in case four-year- old Toby gets too many messages. And Nat has even equipped his house with an online camera so he can see Toby enjoying he food at his home.But one problem is that friends and family have been so amazed with the “tweet treat “ machine that they have started sending tweets to Toby too. So Nat has had to restrict feeding time to make sure Toby doesn’t turn into Tubby.“People have been sending him tweets at all hours of the day, so I had to limit it to between 9a.m. and 9 p.m. . I’m thinking of doing an updated one which can measure his weight before he is fed ,just to make sure he’s not putting on too much puppy fat,” explained Nat.How Nat’s Twitter Feeder works:When a message is sent to @ feedtoby, it is received by a mini –computer that is linked to the feed machine.When the mini-computer receives the message, a bell rings and Toby comes running over and sits in front of the feeding machine. Next , the machine’s motor pulls open a trap door which releases a serving of food.The doggy biscuits then drop into Toby’s food bowl. Finally a digital camera takes a photo of him and sends it back to Nat on Twitter –so he knows Toby has been fed.31.Nat has invented a high-tech way to feed his dog because he ______.A. wants his friends to feed TobyB. has very strong computing skillsC. is often too busy to feed his dogD. doesn’t like to feed Toby by hand.32.Why has Nat decided to limit the feeding machine’s operating time?A. He doesn’t want Toby to get too fat.B. He fears the machine will run out of food.C. He wants his friends to stop feeding Toby.D. He doesn’t want Toby to be woken up at night .33. It can be learned from the passage that Toby _______.A. sits beneath his feeder all day long.B. is now used to being fed by machineC. doesn’t know what happens to the feederD. no longer receives tweets from Nat’s friends34.Which of the following shows the correct order of how the Twitter Feeder works?a. The bell goes off.b. is now used to being fed by machinec. doesn’t know what happens to the feederd. no longer receives tweets from Nat’s friends.e. The motor starts to work and opens the door to release dog food. A.a,b,v,e, d B.b,c,e,a,d C.b,c,a,e,d D.c,b,a,d,e,35. In which section of the newspaper would you most probably find this passage?A. TechnologyB. Health .C. EnvironmentD. Style31-35CABCACNo one knows why we dream, but some dreams might be connected to the mental processes that help us learn. In a recent study, scientists found a connection between dreams and better memory in people learning a new skill.So perhaps one way to learn something new is to practice , practice , practice _ and then sleep on it.“I was very surprised by this finding ,” said Robert Stickgold ,a HarvardUniversity scientist who led the study.In the study ,100 college students each spent an hour on a computer , trying to get through a maze(迷宫). The maze was difficult, and the study participants had to start from a different place each time they tried- making it even more difficult.Then, for the first 90 minutes of a five-hour break, half of the participants were required to stay awake while half were asked to sleep. Participants who stayed awake were asked to describe their thoughts. Participants who slept were asked to describe any dream they had.Stickgold and his colleagues wanted to know about NREM, or non-REM sleep. REM stands for “rapid eye movement.” Which is what happens during REM sleep. This period of sleep often brings strange dreams to a sleeper, although dreams can happen in both kinds of sleep. Stickgold wanted to know what people were dreaming about when their eyes weren’t moving, during NREM wanted to know what people were dreaming about when their eyes weren’t moving, during NREM sleep. Other studies have found connection between NREM brain activity and learning ability.Four of the 50 people who slept said their dreams were about the maze. Later, when these four people tried the computer maze again, they were able to complete it faster.Stickgold believes the dream itself doesn’t help a person learn-it’s the other way around. He suspects that such dreams are caused by the brain processes associated with learningAll the maze-dreamers had done the task poorly the first time, which makes Stickgold wonder if the NREM dreams show up when a person finds a new task particularly difficult . People who had other dreams ,or people who didn’t show the same improvement.36. In the first stage of the study, the participants were asked to ____.A. design a maze on computerB. find their way out of a maze.C. decide where to begin a mazeD. remember a location in a maze37.What happened to the participants during the break?A. Half of them were woken up when they started to dream.B. Half of them were asked to dream about the maze.C. All of them were asked to describe their thoughts.D. Half of them were asked to sleep for 90 minutes.38.What can we learn from the passage?A. Everyone will dream about a new skill after learning it.B. Stickgold was the first to study dreams and learning.C. During NREM sleep, people usually don’t dream.D. Unusual dreams often occur during REM sleep.39.According to the last paragraph , before sleeping the maze –dreamers ___.A. found it difficult to do the maze .B. were greatly interested in the mazeC. were mostly slow and poor thinkersD. completed the maze faster than others40. Which of the following statements best summarizes the study’s conclusion?A. Dreams have a role in learning .B. Dreams have no basis in reality.C. Dreams are important for health.D. Dreams are the best way to study.36-40BDDAAD.The recent publication of autobiographies by two of Britain’s greatest scientists, biologist Richard Dawkins and physicist Stephen Hawking, is a wonderful opportunity to compare and contrast these two remarkable men. Surprisingly, they have rather more in common than we think.Most striking is the similarity in their backgrounds. They were born in the early 1940s to middle class families _ not wealthy but comfortablyoff , with a strong commitment to academic excellence and public service . Both families were keen to send their boys to Oxford University—and both succeeded, Dawkins studying zoology and Hawking physics.Neither man has a very positive view of his early university life. Hawing describes the attitude at Oxford in the 1950s and 1960s as very anti-work, “You were supposed to either be brilliant without effort or fail. Hard work was looked down upon by students and we all pretended that nothing was worth making an effort for.” He estimates that he studied for no more than an hour a day as an undergraduate student (本科生)。

绝密★启用前试卷类型：A 2014年广州市普通高中毕业班综合测试（一）文科综合2014．3 本试卷共11页，41小题，满分300分。

考试用时150分钟。

注意事项：1．答卷前，考生务必用2B铅笔在“考生号”处填涂考生号，用黑色字迹钢笔或签字笔将自己所在的市、县／区、学校，以及自己的姓名和考生号、试室号、座位号填写在答题忙上。

用2B铅笔将试卷类型（A）填涂在答题卡相应位置上。

2．选择题每小题选出答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑，如需改动，用橡皮擦干净后，再选涂其他答案，答案不能答在试卷上。

3．非选择题必须用黑色字迹钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液。

不按以上要求作答的答案无效。

4．考生必须保持答题卡的整洁。

考试结束后，将试卷和答题卡一并交回。

一、选择题：本题共35小题，每小题4分，共140分。

每小题给出的四个选项中，只有一个选项符合题目要求。

1．以下是2014年某时段穗、港、澳三地的天气状况，影响三地气温日较差差异的最主要因素是A．纬度B．地形C．城市规模D．海陆位置2013年12月初，“嫦娥三号”卫星从西昌卫星发射中心发射，首次获得月球降落区和巡视区的地形、地貌、地质构造等地理环境信息。

完成2～3题。

2．影响月球表面环境最主要的外力作用是A．风化作用B．侵蚀作用C．搬运作用D．沉积作用3．由于月球的黄赤交角只有1°32′，远小于地球的23°26′，所以月球表面环境A．昼夜温差小B．不会产生极昼、极夜现象C．季节变化小D．没有太阳直射现象4．影响图示人口流动的最主要因素是2014年2月11日广东流入人口示意图A．探亲B．旅游C．打工D．物流5．该河流最主要的补给类型是A．雨水B．冰川融水C．湖泊水D．季节性积雪融水6．2012年国务院批准在贵阳和安顺两城市之间成立贵安新区，这是城市化发展中的A．城市一体化我国某自然灾害分布示意图（2000年）B ．再城市化C ．逆城市化D ．中心城市化贵安新区区位示意图读“2005～2009年间制造业份额变化图”，完成7～8题。

绝密★启用前试卷类型：A 2014年广州市普通高中毕业班综合测试（一）文科综合历史试题2014．3 。

注意事项：1．答卷前，考生务必用2B铅笔在“考生号”处填涂考生号，用黑色字迹钢笔或签字笔将自己所在的市、县／区、学校，以及自己的姓名和考生号、试室号、座位号填写在答题忙上。

用2B铅笔将试卷类型（A）填涂在答题卡相应位置上。

2．选择题每小题选出答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑，如需改动，用橡皮擦干净后，再选涂其他答案，答案不能答在试卷上。

3．非选择题必须用黑色字迹钢笔或签字笔作答，答案必须写在答题卡各题目指定区域内相应位置上；如需改动，先划掉原来的答案，然后再写上新的答案；不准使用铅笔和涂改液。

不按以上要求作答的答案无效。

4．考生必须保持答题卡的整洁。

考试结束后，将试卷和答题卡一并交回。

一、选择题：每小题4分，每小题给出的四个选项中，只有一个选项符合题目要求。

12．它使“由众多血缘部族邦国形成的联盟制转变为由众多地域国家形成的相对一统天下，向真正意义上的统一的地域国家迈进了一大步”。

“它”是指A．分封制B．宗法制C．郡县制D．中央集权制13．《唐律疏义》曰：“依令，斛斗秤度等，所司每年量校，印署充用。

其有私家自作，致有不平而在市执用者，笞五十。

”据此可知当时A．限制经营场所B．奉行“重农抑商”C．商业空前繁荣D．重视监管商业14．某思想家主张：“君子之学以明其心。

其心本无昧也，而欲为之蔽，习为之害。

故去蔽与害而明复，匪自外得也。

”该思想家可能是A．孟子B．董仲舒C．王阳明D．顾炎武1270—1890年英国的平均收入15．《官话报》曾经是北京各报中最反对共和支持清廷的报纸，但1912年1月4日该报的社论完全改变了立场，敦促清帝接受必不可免的事情并逊位。

这表明A ．“预备立宪”破产B ．共和思想影响扩大C ．清朝统治覆灭D ．封建思想统治地位动摇16．据《近代上海城市发展与城市综合竞争力》统计，1911年全国30人以上工厂数只有171家，1927年是1374家，1933年达到了2435家。

2014 年广州市普通高中毕业班综合测试（一）英语参考答案语法填空：1 6．Destroyed 17. what 18. powerful 19.who20. worked21．Before 22.lying23.a24 they 25.on阅读理解：26. B 27. D 28. B29.A30. C 31. C 32.A 33. B 34. C 35.A36. B 37. D 38. D 39. A 40. A 41 D 42. B 43. D 44. D 45.B信息匹配：46．B 47．A 48．C 49．F 50．E基础写作：White Tea, which gets its name from its silver-white co lour, is regarded as one of the six major Chinese tea types. Dating back to the Beisong Dynasty, White Tea has a long history and it is mainly grown in Fujian and Taiwan. White Tea is famous for its beautiful silver-needle-like shape, its sweet taste and its medicinal effects. The longer it is preserved, the better effect it has. White Tea is good for health if drunk frequently and can be used in preventing diseases like high blood pressure and helping relieve the pain in of toothache and fever. 读写任务：Version 1In the passage, the writer describes how he forgot his family's thrifty tradition and eventually met with financial difficulty. This helped him realize the importance of thriftiness and start to practise thriftiness again.To me, being thrifty means valuing money, making the most of what I have and trying never to spend beyond my budget or on unnecessary things.Thrift is an old and dated concept to many young people. As life has become a lot easier, people tend to indulge in a luxurious lifestyle. That's why I regard this nearly forgotten practice more important now than ever before.Actually, to be thrifty can be really simple. Most of the time, it's simply a matter of being more thoughtful in our everyday life: turning off lights when leaving the room, not using the air-conditioners unless necessary, bringing our water bottle from home rather than spending money on soft drinks, using public transports to avoid needless driving and parking, ordering just enough food when eating out, and so forth. To do these might mean doing things others won't do and controlling our desires. But remember, a smart person is not one who always tries to impress others by showing off their wealth, but one who spares no effort to save for the future and for others .Version 2The writer recalls the stress and economic problems he had after moving to a big city forgetting the thrifty habits of his youth and wasting all his money. At last, however, he learned his lesson and became thrifty once more.I think a thrifty person is someone who uses only what they need and avoids wastes. Being thrifty can save us money, but more importantly, it is necessary if we want to save our planet. In the face of growing environmental problems, I believe it is more necessary than ever to reduce the amount of rubbish and pollution each individual produces. If we fail to control the amount o' waste we produce, our society and our planet are doomed and this concern must outweigh an) short-term satisfaction we get from buying and consuming more.It is for this reason that I buy as much fresh food as possible, rather than packaged food whichrequires much more energy to produce and adds to our pollution problems. I also try to cycle or walk everywhere I go, or at least use public transport rather than getting a taxi o depending on a private car. Actions like these keep me fit and healthy, help the environment and leave me with more money in my pocket! Why don't you try these too ？You might really enjoy the results.基础写作评分说明：基础写作主要考查考生语言结构的应用能力：能够用正确、规范的语言表达特定的内容。

第Ⅰ卷（共50分）一、选择题：本大题共10个小题,每小题5分,满分50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.函数()()ln 1f x x =+的定义域为（ ）A.(),1-∞-B.(),1-∞C.()1,-+∞D.()1,+∞2.已知i 是虚数单位，若()234m i i +=-，则实数m 的值为（ ）A.2-B.2±C.D.23.在ABC ∆中，角A 、B 、C 所对的边分别为a 、b 、c ，若2C B =，则cb为（ ） A.2sin C B.2cos B C.2sin B D.2cos C4.圆()()22121x y -+-=关于直线y x =对称的圆的方程为（ ） A.()()22211x y -+-=B.()()22121x y ++-= C.()()22211x y ++-=D.()()22121x y -++=5.已知1x >-，则函数11y x x =++的最小值为（ ） A.1- B.0 C.1 D.26.函数()21xf x x =+的图象大致是（ ）【解析】7.已知非空集合M 和N ，规定{}M N x x M x N -=∈∉且，那么()M M N --等于（ ） A.M N B.M N C.MD.N8.任取实数a 、[]1,1b ∈-，则a 、b 满足22a b -≤的概率为（ ） A.18 B.14 C.34D.78BEF ∆，因此14DGH BEF S S ∆∆==，故阴影部分的面积等于21722242ABCD BEFS S S ∆=-=-⨯=，由几何概9.设a 、b 是两个非零向量，则使a b a b ⋅=⋅成立的一个必要非充分的条件是（ ）A.a b =B.//a bC.()0a b λλ=>D.a b ⊥10.在数列{}n a 中，已知11a =，()111sin 2n n a a π++-=，记n S 为数列{}n a 的前n 项和，则2014S =（ ）A.1006B.1007C.1008D.1009第Ⅱ卷（共100分）二、填空题（本大题共5小题，考生作答4小题，，每小题5分，满分20分）（一）必做题（11~13题）k ，则输出S的值为.11.执行如图1所示的程序框图，若输入312.一个四棱锥的底面为菱形，其三视图如图2所示，则这个四棱锥的体积是 .13.由空间向量()1,2,3a =，()1,1,1b =-构成的向量集合{},A x x a kb k Z ==+∈，则向量x 的模x 的最小值为 .（二）选做题（14~15题，考生只能从中选做一题）14.（坐标系与参数方程选做题）在极坐标系中，直线()sin cos a ρθθ-=与曲线2cos 4sin ρθθ=-相交于A 、B 两点，若AB =，则实数a 的值为 .15.（几何证明选讲选做题）如图3，PC 是圆O 的切线，切点为点C ，直线PA 与圆O 交于A 、B 两点，APC ∠的角平分线交弦CA 、CB 于D 、E 两点，已知3PC =，2PB =，则PEPD的值为.三、解答题（本大题共6小题，满分80分.解答写出文字说明、证明过程或演算步骤.）16.（本小题满分12分）已知某种同型号的6瓶饮料中有2瓶已过了保质期.（1）从6瓶饮料中任意抽取1瓶，求抽到没过保质期的饮料的概率；（2）从6瓶饮料中随机抽取2瓶，求抽到已过保质期的饮料的概率.【解析】17.（本小题满分12分）已知函数()sin cos f x x a x =+的图象经过点,03π⎛⎫- ⎪⎝⎭. （1）求实数a 的值；（2）求函数()f x 的最小正周期与单调递增区间.【解析】18.（本小题满分14分）如图4，在棱长为a 的正方体1111ABCD A BC D -中，点E 是棱1D D 的中点，点F 在棱1B B 上，且满足12B F BF =. （1）求证：11EF AC ⊥；（2）在棱1C C 上确定一点G ，使A 、E 、G 、F 四点共面，并求此时1C G 的长； （3）求几何体ABFED 的体积.且1BB ⊥平面1111A B C D ，111AC BB ∴⊥，（3）如下图所示，连接AC交BD于点O，19.（本小题满分14分）已知等差数列{}n a 的首项为10，公差为2，数列{}n b 满足62n n nb a n =-，n N *∈. （1）求数列{}n a 与{}n b 的通项公式；（2）记{}max ,n n n c a b =，求数列{}n c 的前n 项和n S . （注：{}max ,a b 表示a 与b 的最大值.）【解析】20.（本小题满分14分）已知函数()32693f x x x x =-+-. （1）求函数()f x 的极值；（2）定义：若函数()h x 在区间[](),s t s t <上的取值范围为[],s t ，则称区间[],s t 为函数()h x 的“域同区间”.试问函数()f x 在()3,+∞上是否存在“域同区间”？若存在，求出所有符合条件的“域同区间”；若不存在，请说明理由.函数()f x 在3x =处取得极小值，即()()3233639333f x f ==-⨯+⨯-=-极小值；21.（本小题满分14分）已知双曲线()222:104x y E a a -=>的中心为原点O ，左、右焦点分别为1F 、2F ，点P 是直线23a x =上任意一点，点Q 在双曲线E 上，且满足220PF QF ⋅=. （1）求实数a 的值；（2）证明：直线PQ 与直线OQ 的斜率之积是定值；（3）若点P 的纵坐标为1，过点P 作动直线l 与双曲线右支交于不同的两点M 、N ，在线段MN 上去异于点M 、N 的点H ，满足PM MH PNHN=，证明点H 恒在一条定直线上.【解析】。