广东省珠海一中等六校2015届高三第二次联考英语

东莞中学､广州二中､惠州一中､深圳实验､珠海一中､中山纪念中学2024届高三第一次六校联考数学参考答案一､单选题，二多选题：三､填空题（第16题第一问2分，第二问3分）13.7.8514.6240x 15.-216.223,55x y r +=-≤≤四､解答题17.解：（1）解法一：因为数列{}n b 是以1为首项，公比为3的等比数列，所以13n n b -=，因为()218n n a n n k +=-+，所以12371215,,234k k k a a a ---===.因为数列{}n a 是等差数列，所以2132a a a =+，即127152324k k k ---⨯=+，解得9k =-所以()()()218919n n a n n n n +=--=+-，所以9n a n =-.解法二：因为数列{}n b 是以1为首项，公比为3的等比数列，所以13n n b -=，因为数列{}n a 是等差数列，设公差为d ，则()111n a a n d dn a d =+-=+-.所以()()()22111118n n a n dn a d dn a n a d n n k +=++-=++-=-+，所以118,9d a k =⎧⎪=-⎨⎪=-⎩所以9n a n =-（2）因为193n n n n a n c b --==，当8n ≤时，0n c <；当9n =时，0n c =；当10n 时，0n c >.当10n时，11891920333n n n n n n n nc c +-----=-=<，即，1n n c c +<.所以数列{}n c 的最大项是第10项10913c =18.解：（1）在BCD中，2,3,BD BC CD ===，由余弦定理可知2224971cos 22322BC BD CD B BC BD +-+-===⨯⨯⨯⨯，因为0B π<<，所以3sin 2B =，所以1sin 2ABC S AB BC B =⨯⨯= ；（2）在ACD 中，设,2ACD BAC ∠θ∠θ==，则由正弦定理sin2sin CD ADθθ=，即722sin cos sin θθθ=，得()7cos ,0,4θθπ=∈ ，所以3sin 4θ=，2371sin22sin cos 2cos 188θθθθθ===-=-，所以2ADC ∠πθθ=--，所以()377139sin sin 2848416ADC ∠θθ=+=⨯=，.由正弦定理得：sin sin AC ADADC ACD∠∠=92316324AC ⨯==.19.解：（1）证明：因为BC ∥平面,PAD BC ⊂平面ABCD ，且平面PAD ⋂平面ABCD AD =，所以BC AD ∥.取PA 的中点F ，连接BF EF ､，因为E 是棱PD 的中点，所以，EF AD ∥且12EF AD =，因为BC AD ∥且12BC AD =，所以，EF BC ∥且EF BC =，所以，四边形BCEF 为平行四边形，则CE BF ∥，因为CE ⊄平面,PAB BF ⊂平面PAB ，所以CE ∥平面PAB ..（2）取AD 的中点O ，连接PO .因为PAD 是正三角形，所以PO AD ⊥.又因为平面PAD ⊥平面ABCD ，平面PAD ⋂平面,ABCD AD PO =⊂平面PAD ，所以，PO ⊥平面,.ABCD .因为1,,2BC AD BC AD O =∥为AD 的中点，所以，BC AO ∥且BC AO =，所以，四边形ABCO 为平行四边形，则CO AB ∥，因为AB AD ⊥，则CO AD ⊥，以点O 为坐标原点，OC OD OP ､､所在直线分别为x y z ､､轴建立如下图所示的空间直角坐标系，则()()(()0,1,01,0,00,1,0A C P D -､､､，所以()1,1,0AC =，设(()0,0,DE DP λλλ==-=-，其中01λ，则()()()0,2,00,0,2AE AD DE λλ=+=+-=-，设平面ACE 的法向量()111,,n x y z =，所以()1111020n AC x y n AE y z λ⎧⋅=+=⎪⎨⋅=-+=⎪⎩ ，令12z λ=-，得),,2n λ=-，设点B 到平面ACE距离为,d d ==当0λ=时，0d =；当01λ<≤时，11λ≥，则2107d <==，当且仅当1λ=时等号成立.综上，点B 到平面ACE距离的取值范围是0,7⎡⎢⎣⎦.20.解：（1）由题意得列联表如下：一等品非一等品合计甲7525100乙483280合计12357180()()()()222()180(75324825) 4.6211235710080n ad bc a b c d a c b d χ-⨯⨯-⨯==≈++++⨯⨯⨯0.054.621 3.841x >= 依据小概率值0.05α=的独立性检验，可以认为零件是否为一等品与生产线有关联.（2）由已知任取一个甲生产线零件为一等品的概率为23282431004++=，任取一个乙生产线零件为一等品的概率为1517163805++=，ξ的所有可能取值为0,1,2，则()()()1221132393390,1,24520104554204520P P P ξξξ==⨯====⨯+⨯===⨯=ξ∴的分布列为：ξ012P110920920()19927012.10202020E ξ=⨯+⨯+⨯=（3）由已知零件为三等品的频率为4221118020+++=，设余下的40个零件中三等品个数为X ，则140,20X B ⎛⎫~ ⎪⎝⎭，()1402,20E X ∴=⨯=设检验费用与赔偿费用之和为Y ，若不对余下的所有零件进行检验，则205120Y X =⨯+，所以()()100120100240340E Y E X =+⨯=+=，若对余下的所有零件进行检测，则检验费用为605300⨯=元，340300,>∴ 应对剩下零件进行检验..21.解：（1）由题意知32c e a ==，四边形1122B F B F为菱形，面积为2bc =，又222a c b =+，解得2224,1,3a b c ===，所以椭圆C 的方程为2214x y +=.（2）设(),0M m ，直线AB 的方程为()()1122,,,,x ty m A x y B x y =+，由2AM MB = 得122y y =-，联立221,4,x y x ty m ⎧+=⎪⎨⎪=+⎩得()2224240t y tmy m +++-=，()()()22222Δ(2)444164tm t m m t =-+-=---则212122224,44tm m y y y y t t -+=-=++，由2122122222,2y y y y y y y y =-+=-+=-，得()()2212121222y y y y y y ⎡⎤=--+=-+⎣⎦，所以222242244m tm t t -⎛⎫=-- ⎪++⎝⎭，化简得()()2222448m t t m -+=-，易知原点O 到直线AB的距离d =又直线AB 与圆224:7O x y +=相切，=2271,4t m =-由()()222222448714m t t m t m ⎧-+=-⎪⎨=-⎪⎩，得422116160m m --=，即()()2234740m m -+=，解得243m =，则243t =，满足Δ0>，所以23,03M ⎛⎫± ⎪ ⎪⎝⎭，在Rt OMN中，42121MN ==.22.解：（1）由题意，当1a =时，设()()()h x f x g x =-，则()221ln 1ln (0)h x x x x x x x x =-+--=-->，()()()221112121x x x x h x x x x x'+---=--==，令()0h x '=，得1x =（舍负），.所以()h x 在()0,1上单调递减，在()1,∞+上单调递增，()min ()10h x h ∴==.根据题意t 的取值范围为(]0,1（2）设函数()f x 在点()()11,x f x 处与函数()g x 在点()()22,x g x 处有相同的切线，则()()()()121212,f xg x f x g x x x -='-'=211212121ln 12x ax x ax a x x x -+--∴-==-，12122ax x ∴=+，代入21211221ln .x x x ax x a x -=+--.得222221ln 20424a a x a x x ++++-=∴问题转化为：关于x 的方程221ln 20424a ax a x x ++++-=有解，设()221ln 2(0)424a a F x x a x x x =++++->，则函数()F x 有零点，()211ln 24F x a x a x ⎛⎫=+++- ⎪⎝⎭，当2a x e -=时，()2ln 20,e0ax a F -+-=∴>.∴问题转化为：()F x 的最小值小于或等于0.()23231121222a x ax F x x x x x--=--+='，设()20002100x ax x --=>，则当00x x <<时，()0F x '<，当0x x >时，()0F x '>.()F x ∴在()00,x 上单调递减，在()0,x ∞+上单调递增，()F x ∴的最小值为()2002001ln 2424a a F x x a x x =++++-.由200210x ax --=知0012a x x =-，故()20000012ln 2F x x x x x =+-+-.设()212ln 2(0)x x x x x xϕ=+-+->，则()211220x x x xϕ=+++>'，故()x ϕ在()0,∞+上单调递增，()10,ϕ=∴ 当(]0,1x ∈时，()0x ϕ≤，()F x ∴的最小值()00F x ≤等价于001x ≤≤.又 函数12y x x=-在(]0,1上单调递增，(]0012,1.a x x ∞∴=-∈-。

2015年普通高等学校招生全国统一考试（广东卷）英语How long can human beings live？Most scientists who study old age think that the human body is (1) to live no longer than 120 years．However，110 years is probably the longest that anyone could hope to live--if he or she is (2) healthy and lucky．Some scientists even say we can live as long as 130 years!Yet，our cells simply cannot continue to reproduce (3)．They wear out，and as a result，we get old and (4) die．Even though we can't live forever，we are living a (5) life than ever before．In 1900，the average American life span （寿命） was only 47 years，but today it is 75 years! When does old age begin then？Sixty-five may be out-of-date as the (6)line between middle age and old age．After all，many older people don't begin to experience physical and mental (7)until after age 75．People are living longer because more people (8) childhood．Before modern medicine changed the laws of nature，many children died of common childhood (9)．Now that the chances of dying (10) are much lower，the chances of living long are much higher due to better diets and health care．On the whole，our population is getting older．The(11) in our population will have lasting effects on our social development and our way of life．Some people fear such changes will be for the worse，while some see(12)，not disaster，many men and women in their"golden years"are healthy，still active，and young in (13) if not in age．As the society grows old，we need the (14) of our older citizens．With long lives ahead of them，they need to (15) active and devoted．1. A. designed B. selected C. improved D. discovered2. A. completely B. generally C. apparently D. extremely3. A. rapidly B. harmlessly C. endlessly D. separately4. A. eventually B. hopelessly C. automatically D.desperately5. A. busier B. longer C. richer D. happier6. A. finishing B. guiding C. waiting D. dividing7. A. stress B. damage C. decline D. failure8. A. survive B. enjoy C. remember D. value9. A. problems B. fears C. worries D. diseases10. A. poor B. young C. sick D. quiet11. A. changes B. recovery C. safety D. increases12. A. dreams B. chances C. strengths D. choices13. A. mind B. appearance C. voice D. movement14. A. protection B. suggestions C. contributions D.permission15. A. sound B. appear C. turn D. stay16. Mr.Johnson lived in the woods with his wife and children. He owned （1） ______farm, which looked almost abandoned.（2） ______ （ lucky）, he also had a cow which produced milk every day. He sold or exchanged some of the milk in the towns nearly （3） ______ other food and made cheese and butter for the family with what （4）______ （leave）.The cow was their only means of support, in fact. One day, the cow was eating grass（5） ______ it began to rain heavily. While making great efforts to run away, she （6） ______ （fall） over the hill and died. Then the Johnson tried to make a living （7） ______ the cow. In order to support his family, Mr.Johnson began to plant herbs and vegetables. Since the plants took a while to grow, he started cutting down trees （8） ______ （sell） the wood. Thinking about his children's clothes, he started growing cotton too. When harvest came around, he was already selling herbs, vegetables and cotton in the market （9） ______ people from the town met regularly.Now it occurred to （10） ______ that his farm had much potential and that the death of the cow was a bit of luck.(1)(2)(3)(4)(5)(6)(7)(8)(9)(10)APeter loved to shop used articles．Almost a month ago，he bought popular word game that used little pieces of wood with different letters on them．As he was purchasing it，the salesgirl said，"Uh，look，the game box haven't even been opened yet．That might be worth some money．"Peter examined the box，and，sure enough，it was completely covered in factory-sealed plastic．And he saw a date of 1973on the back of the box．"You should put that up for auction （拍卖） on the Internet，and see what happens．"the salesgirl said．"Yes，you're right．People like something rare．"Peter agreed，"I can't imagine there being very many unopened boxes of this game still around 40years later．""Don't forget to tell me if you sell it．"the salesgirl smiled．"No problem．"Peter said．After he got home，Peter went online to several auction websites looking for his game．But he couldn't find it．Then he typed in the name of the word game and hit Search．The search result was 543websites containing information about the changes of the game．Over the years，the game had been produced using letters in different sizes and game boards in different colors．He also found some lists of game fans looking for various versions of the game．Peter emailed some of them，telling them what he had．Two weeks later，Peter went back to the shop．"Hello．Do you still remember the unopened word game？"The salesgirl looked at him for a second，then recognized him and said，"Oh，hi!" "I've got something for you，"Peter said．"I sold the game and made 1，000．Thankyouforyoursuggestion．"Hehandedherthree 100bills．"Wow!"the salesgirl cried out．"Thank you，I never expected it．"17. Which of the following best describes Peter's word game？ ______A. It was made around 40 years ago．B. It had game boards in different sizes．C. It was kept in a plastic bag with a seal．D. It had little pieces of wood in different colors．18. What did the salesgirl probably think of Peter's word game？ ______A. Old and handy．B. Rare and valuable．C. Classic and attractive．D. Colorful and interesting19. Peter got the names of the game fans from ______ ．A. an auctionB. the InternetC. a game shopD. the second-hand shop20. What happened at the end of the story？ ______A. Peter gave the girl﹩300 as a reward．B. The salesgirl became Peter's friend．C. Peter returned the word game for﹩1，000．D. The salesgirl felt confused to see Peter again．21. What is the main theme of the story？ ______A. It's important to keep a promise．B. It's great to share in other people's happiness．C. We should be grateful for the help from others．D. Something rare is worth a large amount of money．BWhen I was nine years old，I loved to go fishing with my dad．But the only thing that wasn't very fun about it was that he could catch many fish while I couldn't catch anything．I usually got pretty upset and kept asking him why．He always answered，"Son，if you want to catch a fish，you have to think like a fish"，I remember being even more upset then because，"I'm not a fish!"I didn't know how to think like a fish．Besides，I reasoned，how could what I think influence what a fish does？As I got a little older I began to understand what my dad really meant．So，I read some books on fish．And I even joined the local fishing club and started attending the monthly meetings．I learned that a fish is a cold-blooded animal and therefore is very sensitive to water temperature．That is why fish prefer shallow water to deep water because the former is warmer．Besides，water is usually warmer in direct sunlight than in the shade．Yet，fish don't have any eyelids（眼皮） and the sun huts their eyes…The more I understood fish，the more I became effective at finding and catching them．．When I grew up and entered the business world，I remember hearing my first boss say，"We all need to think like sales people．"But it didn't completely make sense．My dad never once said，"If you want to catch a fish you need to think like a fisherman．"What he said was，"You need to think like a fish．"Years later，with great efforts to promote long-term services to people much older and richer than me，I gradually learned what we all need is to think more like customers．It is not an easy job．I will show you how in the following chapters．22. Why was the author upset in fishing trips when he was nine？ ______A. He could not catch a fish．B. His father was not patient with him．C. His father did not teach him fishing．D. He could not influence a fish as his father did．23. What did the author's father really mean？ ______A. To read about fish．B. To learn fishing by oneself．C. To understand what fish think．D. To study fishing in many ways．24. According to the author，fish are most likely to be found ______ ．A. in deep water on sunny daysB. in deep water on cloudy daysC. in shallow water under sunlightD. in shallow water under waterside trees．25. After entering the business world，the author found ______ ．A. it easy to think like a customerB. his father's fishing advice inspiringC. his first boss's sales ideas reasonableD. it difficult to sell services to poor people26. This passage most likely comes from ______ ．A. a fishing guideB. a popular sales bookC. a novel on childhoodD. a millionaire's biography．CDaniel Anderson，a famous psychologist，believes it's important to distinguish television's influences on children from those of the family．We tend to blame TV，he says，for problems it doesn't really cause，overlooking our own roles in shaping children's minds．One traditional belief about television is that it reduces a child's ability to think and to understand the world．While watching TV，children do not merely absorb words and images （影像）．Instead，they learn both explicit and hidden meanings from what they see．Actually，children learn early the psychology of characters in TV shows．Furthermore，as many teachers agree，children understand far more when parents watch TV with them，explaining new words and ideas．Yet，most parents use an educational program as a chance to park their kids in front of the set and do something in another room．Another argument against television is that it replaces reading as a form of entertainment．But according to Anderson，the amount of time spent watching televisionis not related to reading ability．TV doesn't take the place of reading for most children；it takes the place of similar sorts of recreation，such as listening to the radio and playing sports．Things like parents'educational background have a stronger influence on a child's reading．"A child's reading ability is best predicted by how much a parent reads．"Anderson says．Traditional wisdom also has it that heavy television-watching lowers IQ （智商） scores and affects school performance．But here，too，Anderson notes that no studies have proved it．In fact，research suggests that it's the other way around．"If you're smart young，you'll watch less TV when you're older，"Anderson says．Yet，people of lower IQ tend to be lifelong television viewers．For years researchers have attempted to show that television is dangerous to children．However，by showing that television promotes none of the dangerous effects as conventionally believed，Anderson suggests that television cannot be condemned without considering other influences．27. By watching TV，children learn ______ ．A. images through wordsB. more than explicit meaningsC. more about images than wordsD. little about people's psychology28. An educational program is best watched by a child ______ ．A. on his ownB. with other kidsC. with his parentsD. with his teachers29. Which of the following is most related to children's reading ability？ ______A. Radio-listeningB. Television-watchingC. Parents'reading listD. Parents'educational background30. Anderson believed that ______ ．A. the more a child watches TV，the smarter he isB. the younger a child is，the more he watches TVC. the smarter a child is，the less likely he gets addicted to TVD. the less a child watches TV，the better he performs at school31. What is the main purpose of the passage？ ______A. To advise on the educational use of TV．B. To describe TV's harmful effects on children．C. To explain traditional views on TV influences．D. To present Anderson's unconventional ideas．DIt was once common to regard Britain as a society with class distinction．Each class had unique characteristics．In recent years，many writers have begun to speak the'decline of class'and'classless society'in Britain．And in modern day consumer society everyone is considered to be middle class．But pronouncing the death of class is too early．A recent wide-ranging society of public opinion found 90percent of people still placing themselves in particular class； 73percent agreed that class was still a vital part of British society； and 52percent thought there were still sharp class differences．Thus，class may not be culturally and politically obvious，yet it remains an important part of British society．Britain seems to have a love of stratification．One unchanging aspect of a British person's class position is accent．The words a person speaks tell her or his class．A study of British accents during 1970s found that a voice sounding like a BBC newsreader was viewed as the most attractive voice，Most people said this accent sounded'educated'and'soft'．The accents placed at the bottom in this study，on the other hand，were regional（地区的）city accents．These accents were seen as'common'and'ugly'．However，a similar study of British accents in the US turned these results upside down and placed some regional accents as the most attractive and BBC English as the least．This suggests that British attitudes towards accent have deep roots and are based on class prejudice．In recent years，however，young upper middle-class people in London，have begun to adopt some regional accents，in order to hide their class origins．This is an indication of class becoming unnoticed．However，the 1995pop song'Common People'puts forward the view that though a middle-class person may'want to live like common people'they can never appreciate the reality of a working-class life．32. A recent study of public opinion shows that in modern Britain ______ ．A. it is time to end class distinctionB. most people belong to middle classC. it is easy to recognize a person's classD. people regard themselves socially different33. The word stratification in Paragraph 3 is closest in meaning to ______ ．A. varietyB. most people belong to middle classC. authorityD. qualification34. The study in the US showed that BBC English was regarded as ______ ．A. regionalB. educatedC. prejudicedD. unattractive35. British attitudes towards accent ______ ．A. have a long traditionB. are based on regional statusC. are shared by the AmericansD. have changed in recent years36. What is the main idea of the passage？ ______A. The middle class is expandingB. A person's accent reflects his classC. Class is a key part of British societyD. Each class has unique characteristics．37. 首先阅读下列活动介绍：A BA Night of Glamor and Intrigue at ShanghaiBund in 1930To celebrate Asia heritage month ，Trendy New York is proud to present"Cheongsam Night out-A date with Cheongsam beauties in Shanghai Bund 1930"． May 16，9：00PM-May 17，12：00AM ．EDT 330West 40th Street ，New York ．NY 10018Picking Partners-NEW YORKFeaturing adaptations from Chinese and Western classic ，including works from Chinese Academy Award-winning composer Tan Dun ，the Beijing Guitar Duo teamed up with Cuban guitar virtuoso Manuel Barrueco （right ） for a China West Concert at the New York Historical Society on April 23．C DHeroes of History ：Legacy of My ChineseFamilyJoin us as actress Tina Chen recounts thefascinating story of three generations ofher mother's family and their contributions to the history of China ． Friday ，May 8，6：30PM-7：30PMChina Institute 125East 65th Street ，New York ，NY 10065Great shorts-NEW YORK A photography exhibition held by HAN Media to celebrate its founding in New York City on April 24，featuring three emergingChinese photographers ； Yingxi Michael Shi ，Haiyin Lin and Liming Guan ，whose works have appeared in publications such asVogue ，ELLE ，The New York Times and others ．E FForbidden delights-NEW YORK The first session of the China Institute in America short course Beijing ：The City Through Its Architecture opens on Wednesday ．Nancy S ．Steinhardt discusses the Forbidden City and Beijing's imperial architecture ．Kunqu Society ，the classical Chinese theater which combines singing ，dancing and acting to literary works by masters of Ming and Qing Dynasties ，performing introduces four signature plays of Kunqu Master Jiqing Zhang to American audiences ．Sunday ，April 19，2：00PM ，ESTMiller Theatre at Columbia University2960Broadway ，New York ，NY 10027(1) Edward Leonardo Norton ，connoisseur of Chinese and Japanese antiques ．He has a strong interest in classical Chinese literary works ．He even starts going to evening classes to learn classical Chinese at Columbia University ． ______(2) Daphne Sui-yuan Tan ，former director of National Association ofPhotographers ．After reading some history books on how the first group of Chinese immigrants survived in America of the 19th century ，she has become keen on her own family history and that of others ． ______(3) Sharon Collins ，pop singer and amateur photographer ．Her marriage with a serious music critic has drawn her to his world ，so she is now crazy about classical music and will not miss any chance to attend a concert with her husband ． ______(4) Michelle Higgins ，eminent photographer and columnist for quite a fewinternationally-known travel magazines ．Recently ，she has shown great interest in photo exhibits which feature young artists with Islamic or Chinese background ． ______(5) Caroline Hugo，famous writer and influential movie critic．Last year her fantasy story which involved the mysterious Forbidden City received critical acclaim．Now she is conceiving a romance that has Shanghai of the 1930s as the setting． ______ ．38. 你接受了一项写作任务，为英语校报写一篇科技报道．[写作内容]请根据以下信息，介绍国外医疗行业出现的一项新技术．内容包括：[写作要求]只能用5个句子表达全部内容；[评分标准]句子结构准确，信息内容完整，篇章连贯．(1)(2)(3)39. On the first day of her work，Sally found that a class full of problems was waiting for her．Six t eachers had quit before her．When she walked in to the classroom，it was chaos：two boys were fighting in the far corner，yet the rest of the class seemed not to notice them；some girls we re chatting and some were running about；paper，food packages and other garbage were littered around…Just when she was about to speak，a student rushed in and pushed her aside!He was twenty minutes late! Sally walked onto the platform，picked up a piece of chalk and wrote on the blackboard："Rule 1：We are family!"All students stopped to look at her．And she continued with Rule 2，Rule 3…In the following weeks，Sally worked out 10class rules and posted them on the walls of the classroom．She patiently explained all the rules to the students and r equire everyone to follow them．Surprisingly，Sally was not driven out like the former teachers；instead，she won respect from the students．Over the year，she witnessed gradual change in the class．At the graduation ceremony，just as she expected，she was very proud to stand with a class of care，manners and confidence．[写作内容]1．用约30个词概括上文的主要内容．2．用约120个词就班规谈谈你的想法，内容包括：（1）你们班最突出的问题是什么？（2）针对该问题你会设计一条什么班规？（3）你认为班规会带来什么影响？[写作要求]（1）作文中可以使用亲身经历或虚构的故事，也可以参照阅读材料的内容，但不得直接引用原文的句子．（2）作文中不得出现真实姓名和学校名称．[评分标准]概括准确，语言规范，内容合适，篇章连贯．答案和解析1~15.【答案】A、D、C、A、B、D、C、A、D、B、A、B、A、C、D【解析】1．A 考查动词辨析根据句意可知，科学家们认为人体的结构设计决定了人类最多不会活过120岁．故选A．2．D 考查副词辨析根据上下文可知，此处表示110岁很可能是任何一个人可能会希望活的最长的年龄---如果一个人非常的健康和幸运，人们希望能活到110岁，故选D．3．C 考查副词辨析根据句意可知，这里表示人类细胞不能永远无止境地自我繁殖，所以人才会变老．故选C．4．A 考查副词辨析根据语境可知，get old 的最终结果就是死亡，所以用eventually 表示"最终"．故选A．5．B 考查形容词比较级辨析根据上下文的语境可知，美国人的平均寿命从47岁增长到75岁，B项符合语境，故选B．6．D 考查形容词辨析．根据句意可知，把65岁当做中年和老年的分界线，这已经不适合现在的形势了．dividing line分界线，故选D．7．C 考查名词辨析．根据上文提到的65岁作为中年和老年的分界线已经过时了，再结合空后的"until after age 75"可知，现在很多老年人是在75岁之后身体和精神才开始衰弱的，故选C．8．A 考查动词辨析．根据这一段的内容和the chances of living long are much higher due to a better diets and health care可知，现在的人平均寿命比以前更长的一个原因是人们从童年的疾病中幸存了下来，故选A．9．D 考查名词辨析．根据上文的"modern medicine"可知，此处选disease符合语境，故选D．10．B 考查形容词辨析．句意：既然年少夭折的可能性更低了，那么活得更长的机会就更高了，因为有了更好的饮食和医学护理．poor 穷的；young 年轻的；sick 病的；quiet 安静的．根据这一段的意思可知，以前人们在小的时候就因为生病死去了，dying young就是年少死去．故选B．11．A 考查名词辨析．根据下文中Some people fear such changes will…可知，我们现在的人口结构改变了，故选A．12．B 考查名词辨析．根据句意可知，这句话中的while 表示对比，即跟前一种人不一样的看法，故选B．13．A 考查名词辨析．句意：现在，很多处在"黄金年龄"的男士和女士，身体都非常健康，仍然积极，心态也很年轻．mind 心态；appearance 外表；voice 声音；movement移动．根据句意可知，这里应该是说虽然年龄老了，但是心态依然年轻，故选A．14．C 考查名词辨析．句意：随着我们的社会老龄化，我们需要这些老年公民们的贡献．protection 保护；suggestions 建议；contributions 贡献；permission允许．根据文意可知，现在的社会逐渐老龄化，因此老年人也要继续给我们的社会做贡献，故选C．15．D 考查动词辨析．句意：前面还有很长的寿命，他们需要保持积极的心态和奉献的精神．sound 听起来；appear 好像；出现；turn 转，变成；stay保持．根据文意可知，现在人们的寿命更长了，因此老年人也要继续保持积极心态，为我们的社会做贡献．故应选D．本文是一篇说明文．话题围绕人类的寿命展开．人的寿命是有限的，随着社会的发展，生活水平的提高，人们的寿命比以前更长了，而且老龄化已经成了社会的一个趋势，我们的社会需要这些老年人们继续保持积极的心态，为社会做贡献．解答此类题目可遵循以下步骤：第一步，通读全文，了解文章大意，获得整体印象，同时初选出一批较有把握的答案．第二步，边核对初选答案边补填留下的空格．如果短文难度较大，则可复读几遍，核对和确定答案．有些空一时决定不了，可作个记号，待复查时再确定．第三步，复查定稿．从整体理解角度出发，仔细审核答案，确保意义上、语法上没有错误，同时对遗留下来的少数几个空格作最后选择．16.【答案】【小题1】a【小题2】Luckily【小题3】for【小题4】was left【小题5】when【小题6】fell【小题7】without【小题8】to sell【小题9】where【小题10】him【解析】1.句意：他拥有一个农场，这个农场看起来都快废弃了。

2025届惠州一中、珠海一中等六校联考高考考前模拟英语试题注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。

2．回答选择题时，选出每小题答案后，用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，再选涂其它答案标号。

回答非选择题时，将答案写在答题卡上，写在本试卷上无效。

3．考试结束后，将本试卷和答题卡一并交回。

第一部分（共20小题，每小题1.5分，满分30分）1．He liked the lovely dog so much that he ________ his book and played with it immediately.A．gave off B．set asideC．took over D．turned down2．Believe it or not, it is ________________ that causes your illness.A．because of your being overweight B．because you are overweightC．you are so overweight D．your being overweight3．I________________ a flu when I was on a spring outing with my classmate.A．caught up B．picked upC．took up D．brought up4．Linda realized she was in the wrong and promised to ________ a new leaf.A．take over B．turn over C．get over D．go over5．Several of us were asked to attend the meeting, as ________ below.A．listed B．listingC．to be listed D．having listed6．_____ here, come and have a cup of tea.A．Passing B．To pass C．Pass D．Having passed7．The girl is sure to become a good actress __________ she gets the right training.A．until B．if C．although D．unless8．We climbed up to the top of a hill,___________ we got a good view of the whole forest park.A．which B．whereC．when D．that9．He ______ a chance to try it again just now.A．gave B．will give C．is given D．was given10．_______ it is so hot, I guess we can’t do anything until after dark.A．In case B．Now that C．Even if D．As though11．--- I’ll pay a visit to Hong Kong. Would you mind keeping an eye on my house?--- Not at all. ______.A．I’d rather not B．I’d be happyC．I’ve no time D．I’d like to12．A heavy sandstorm is going to envelop our city. It is unwise to have your car .A．wash B．washedC．washing D．to wash13．These remarkable findings suggest the elephants have ________ a memory capacity to make distinctions between human voices.A．built up B．packed up C．brought up D．took up14．The part in the film the man broke down the door made some of the audience give a cry.A．which B．who C．where D．whom15．Without your help, I ________ the first prize in the English Speaking Contest.A．won’t get B．didn’t getC．wouldn’t get D．wouldn’t have got16．Newly released data point to an increase in technology use among children some worry is changing the very nature of childhood.A．why B．whichC．who D．where17．-My computer doesn't work!-Robert is a computer expert. How I wish he______ with me.A．came B．had comeC．is coming D．has come18．Recently, a programmer criticized the “996” work schedule ______ employees work from 9 am to 9 pm, 6 days a week, with the prospect of ending up in an intensive care unit.A．where B．when C．which D．whose19．Face the problem bravely and you ______ a new way to success.A．find B．found C．will find D．have found20．The store______ I bought my textbooks is having a sale this week.A．that B．whereC．which D．why第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

广东省六校联盟（深圳实验，广州二中，珠海一中，惠州一中，东莞中学，中山纪中）2020届高三第二次联考理综化学试题学校_________ 班级__________ 姓名__________ 学号__________一、单选题1. 现代社会的发展与进步离不开材料，下列有关材料的说法不正确的是（）A．500米口径球面射电望远镜被誉为“中国天眼”，其“眼眶”是钢铁结成的圈梁，属于新型纯金属材料B．用于新版人民币票面文字等处的油墨中所含有的Fe3O4是一种磁性物质C．港珠澳大桥路面使用了沥青和混凝土，沥青可以通过石油分馏得到D．国庆阅兵仪式上的坦克和军车都喷涂着新式聚氨酯迷彩伪装涂料，能适应多种环境背景下的隐蔽需求，聚氨酯属于有机高分子材料2. NA代表阿伏加德罗常数的值。

下列叙述正确的是（）A．1mol碳正离子（CH3＋）所含的电子总数为9NAB．25℃，pH＝13的Ba(OH)2溶液中含有OH－的数目为0.1NAC．常温常压下，过氧化钠与水反应时，生成8g氧气转移的电子数为0.5NAD．1mol雄黄(As4S4)，结构如图：，含有2NA个S－S键3. 诺卜醇可用于调制木香型化妆品及皂用香精。

一种制备方法如图所示，下列说法正确的是（）A．可用溴的CCl4溶液区别β–蒎烯与诺卜醇B．β–蒎烯和诺卜醇分子中都有一个由5个碳原子构成的四面体C．可用乙酸检验β–蒎烯中是否含有诺卜醇D．β–蒎烯的饱和碳原子上的一氯代物有7种4. 下列图示实验正确的是（）A．制取蒸馏水B．制取收集氨气C．乙酸乙酯的制备D．碳酸氢钠受热分解5. 以铬铁矿[主要成分为Fe(CrO2)2]，含有Al2O3、Fe2O3、SiO2等杂质为主要原料生产重铬酸钠晶体(Na2Cr2O7·2H2O)的主要工艺流程如下，关于该流程说法错误的是（）A．煅烧生成Na2CrO4的化学方程式为：4Fe(CrO2)2+8Na2CO3+7O22Fe2O3+8Na2CrO4+8CO2B．SiO2在“浸出过滤”步骤中和Fe2O3一起除去C．Na2CrO4到Na2Cr2O7转化的原理为：2H＋+2CrO42－Cr2O72－+H2OD．该工艺中“煅烧”产生的CO2可用于“除杂”步骤以节约生产成本，为完全除去AlO2－，发生的离子反应为：CO2+AlO2－+2H2O=Al(OH)3↓+HCO3－6. X、Y、Z、W为原子序数依次增大的四种短周期元素，其中Z为金属元素，X、W为同一主族元素。

广东省2015届六校高三毕业班第三次联考文科综合试题六校分别为：广州二中、中山纪中、东莞中学、珠海一中、深圳实验、惠州一中注意事项：1．本试题分选择题和非选择题两部分，满分为300分，考试用时150分钟。

2．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考生号填写在答题卡上，用2B铅笔把答题卡上对应考生号的标号涂黑；用黑色字迹的钢笔或签字笔将自己的姓名、考生号及学校名称填写在答题卷的密封线内。

3．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，再选涂其它答案；不能答在试卷及答题卷上。

4．非选择题必须用黑色字迹钢笔或签字笔作答，答案必须写在答题卷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。

5．考生必须保持答题卡和答题卷的整洁，考试结束后，将答题卡和答题卷交回。

一、选择题（本大题共35小题，每题4分，共140分。

在每小题列出的四个选项中，只有一项符合题目要求，请将答案涂在答题卡相应的位置）广州某同学去美国西北部太平洋沿岸最大的城市达西雅图（北纬47°37′35″，西经122°19′59″）旅游。

到达时当地时间是2014年5月18日11时，据此完成1～2题。

1．此时全球与西雅图处于同一天的范围是A．小于全球的一半B．大于全球的一半C．正好等于全球的一半D．等于全球的三分之一2．这段时间，以下现象正确的是A．北京白昼达到一年中的较短的时段B．赤道附近物体正午影子达到一年中最短时段C．北印度洋海区的洋流呈顺时针方向流动D．正值南极考察的最佳时机读图1回答3～4题图1 新疆塔里木地区3．读图中信息，对塔里木盆地地区描述正确的是A．人类对于自然的适应能力减小，活动的空间不断缩小B．历史以来人类活动的范围仅限于盆地周边的绿洲地区C．盆地南缘河流流程缩短，主要是人类种植业活动造成的D．人类活动范围盆地北缘比盆地南缘大4．该地区极端干旱环境形成的主要原因是A．距海遥远，青藏高原阻挡，水汽少，地面蒸发旺盛B．全年受副高控制，降水总量小C．纬度较高，气温较低，蒸发微弱D．地处盆地内部，地势平坦，排水不畅5．新疆“雅丹”地貌在形态上呈现垄、槽相间的形态（见图2），其发育与盛行风的吹蚀密切相关。

江西省六校2015届高三第二次联考英语试题第一部分：听力（共两节，满分30分做题时，先将答案标在试卷上，录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡。

第一节（共5小题；每小题1.5分满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一题。

每段对话仅读一遍。

1．What will the woman do?A．Go out for a dinner. B．See a movie with Johnson.C．Work on an article.2．What does the woman like best?A．Drawing. ` B．Shopping. C．Jogging.3．What is the man probably?A．A nurse. B．A dentist. C．A surgeon．4．What are the speakers talking about in general?A．A match. B．Football. C．The man’s hobby.5．Why doesn’t the man allow the girl to learn to drive?A．He has no time to teach her to drive.B．He thinks it dangerous for her to drive.C．She isn’t old enough to get a driving license．第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟，听完后，各小题给出5秒钟的作答时间。

一、单选题二、多选题1. “不等式在上恒成立”的一个充分不必要条件是A．B．C．D．2. 古希腊数学家阿基米德用“逼近法”得到椭圆面积的4倍除以圆周率等于椭圆的长轴长与短轴长的积．已知椭圆C 的中心在原点，焦点F 1，F 2在y 轴上，其面积为8π，过点F 1的直线l 与椭圆C 交于点A ，B 且△F 2AB 的周长为32，则椭圆C 的方程为（ ）A．B．C．D．3. 设复数满足，则下列说法正确的是（ ）A ．的虚部为B ．为纯虚数C．D ．在复平面内，对应的点位于第二象限4. 不等式的解集为（ ）A．B．C．D．5. 素数分布是数论研究的核心领域之一，含有众多著名的猜想.世纪中叶，法国数学家波利尼亚克提出了“广义孪生素数猜想”：对所有自然数，存在无穷多个素数对.其中当时，称为“孪生素数”，时，称为“表兄弟素数”.在不超过的素数中，任选两个不同的素数､()，令事件为孪生素数}，为表兄弟素数}，，记事件､､发生的概率分别为､､，则下列关系式成立的是（ ）A．B．C．D．6. 已知定义在上的函数，其导函数为，若，且当时，，则不等式的解集为（ ）A．B．C．D．7.已知表示两条不同直线，表示三个不同平面，给出下列命题：①若则；②若，垂直于内的任意一条直线，则；③若则；④若不垂直于平面，则不可能垂直于平面内的无数条直线；⑤若，则．上述五个命题中，正确命题的个数是A ．5B ．4C ．3D ．28. 设向量，，则“”是“”的A ．充分但不必要条件B ．必要但不充分条件C ．充要条件D ．既不充分也不必要条件9. 下列选项中的两个集合相等的有（ ）.A．B．C．广东省六校联考（广州二中、中山纪中、东莞中学、珠海一中、深圳实验、惠州一中）2023届高三广东省六校联考（广州二中、中山纪中、东莞中学、珠海一中、深圳实验、惠州一中）2023届高三三、填空题四、解答题D．10. 在棱长为1的正方体中，分别为线段上的动点（均不与点重合），则下列说法正确的是（ ）A ．存在使得平面B．存在使得C ．当平面时，三棱锥与体积之和最大值为D ．记与平面所成的角分别为，则11. 如图，正方体中，顶点A 在平面内，其余顶点在的同侧，顶点，B ，C 到的距离分别为，1，2，则（）A ．平面B ．平面平面C ．直线与所成角比直线与所成角大D．正方体的棱长为12.已知四棱锥，底面ABCD 是正方形，平面，，PC 与底面ABCD 所成角的正切值为，点M为平面内一点（异于点A ），且，则（ ）A ．存在点M ，使得平面B ．存在点M ，使得直线与所成角为C．当时，三棱锥的体积最大值为D ．当时，以P 为球心，为半径的球面与四棱锥各面的交线长为13.在正项等比数列中，，，记数列的前n 项积为，，则n 的最小值为______14. 已知椭圆的左焦点为F ，下顶点为A ，AF 的延长线交C 于点B ，若，则C 的离心率为______.15.设函数，，若存在、使得成立，则的最小值为时，实数______．16. 某超市计划销售某种食品，现邀请甲乙两个商家进场试销10天．两个商家向超市提供的日返利方案如下：甲商家每天固定返利60元，且每卖出一件食品商家再返利3元；乙商家无固定返利，卖出不超出30件（含30件）的食品，每件食品商家返利5元，超出30件的部分每件返利10元．经统计，试销这10天两个商家每天的销量如下茎叶图：(1)现从甲商家试销的销量不小于30件的4天中随机抽取2天，求这两天的销售量之和大于60件的概率；(2)根据试销10天的数据，将频率视作概率，用样本估计总体，回答以下问题：（ⅰ）记商家乙的日返利额为X （单位：元），求X 的值域Ω；（ⅱ）证明存在，使得，即X 取值k 的概率不小于X 不取值k 的概率．17. 已知数列满足，且数列是等差数列.(1)求数列的通项公式：(2)设数列的前项和为，若且，求集合A中所有元素的和.18. 已知函数.(1)求的最小值.(2)若，且.证明：（ⅰ）；（ⅱ）.19. 长方体的底面是边长为1的正方形，其外接球的表面积为.（1）求该长方体的表面积；（2）求异面直线与所成角的余弦值.20. 已知各项都不相等的等差数列，又构成等比数列.（1）求数列的通项公式；（2）设，求数列的前n项和为.21. 已知椭圆的离心率，且椭圆过点．(1)求椭圆的标准方程；(2)已知点为椭圆的下顶点，为椭圆上与不重合的两点，若直线与直线的斜率之和为，试判断是否存在定点，使得直线恒过点，若存在，求出点的坐标；若不存在，请说明理由．。

【2015广东高考模拟英语】广东省各地2015届高三一模二模试题汇总Word版含答案12份2015广州一模英语 (2)2015广州二模英语 (12)2015湛江二模英语 (26)2015肇庆三模英语 (35)2015中山一模英语 (44)2015潮州模拟英语 (54)2015佛山二模英语 (65)2015惠州二调英语 (74)2015惠州三调英语 (83)2015揭阳一模英语 (94)2015茂名一模英语 (106)2015茂名二模英语 (120)绝密★启用前试卷类型：A 2015年广州市普通高中毕业班综合测试（一）2015广州一模英语2015.3 本试卷共12页，三大题，满分135分。

考试用时120分钟注意事项：1. 答卷前，考生务必用黑色笔迹的钢笔或签字笔将自己的姓名和考生号、考场号、座位号填写在答题卡上。

用2B铅笔讲试卷类型（A）填涂在答题卡相应的位置上。

将条形码横贴在答题卡右上角“条形码粘贴处”。

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，将试题与答题卡一并交回。

I 语言知识及应用（共两节，满分45分）第一节完形填空(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。

As the world’s population grows, so does our consumption of all kinds of materials. Scientists and environmental groups are increasingly 1.__________ about conserving two important natural resources: our fresh water and our rainforests.Water supports every form of life. Neither plants nor animals can 2.__________ without it. It is also the most 3.__________ used resource in industry. Our quality of life, as well as life itself, depends on a continual 4.__________ of clean, fresh water.However, clean water supplies are now decreasing rapidly. The main 5.__________ of this are overpopulation, water pollution, and deforestation. It is predicted that future water shortages could reduce global farm production by as much as twenty-five percent, leading to widespread 6.__________. Possible solutions to this problem include 7.__________ water recycling methods and limiting population growth.Another 8.__________ but endangered resource is the world’s rainforests. The Amazon rainforest has often been called the “Lungs of the Planet”, because it 9.__________ takes in carbon dioxide and puts out oxygen, which helps keep our atmosphere 10.__________. The Amazon rainforest is home to millions of plant, animal and insect species and the only source of the raw materials used in many important medicines.Rainforests once covered fourteen percent of the earth’s land. Now they cover only six percent, and experts believe that we may 11.__________ these rainforestscompletely in less than forty years. One clear solution is using 12.__________ products instead of cutting trees for wood. Another is reducing people’s consumption of meat, since many rainforests are destroyed to 13.__________ farmland to raise animals.We must work together to find solutions to these resource 14.__________ and develop sustainable ways of living that will 15.__________ natural resources for future generations.1. A. curious B. optimistic C. concerned D. embarrassed2. A. survive B. struggle C. expand D. benefit3. A. reliably B. overly C. expensively D. widely4. A. base B. supply C. growth D. location5. A. cases B. results C. functions D. causes6. A. anger B. hunger C. failure D. pollution7. A. returning B. removing C. improving D. collecting8. A. valuable B. forgotten C. expected D. renewable9. A. usually B. naturally C. obviously D. unfortunately10. A. light B. friendly C. clean D. warm11. A. destroy B. cut C. remove D. reproduce12. A. replaced B. reserved C. adapted D. recycled13. A. save B. provide C. change D. reduce14. A. problems B. demands C. discoveries D. preferences15. A. promote B. produce C. preserve D. prevent第二节语法填空（共10题；每小题1.5分，满分15分）阅读下面短文，按照句子结构的语法性和上下文连贯的要求，在空格处填入一个适当的词或使用括号中词语的正确形式填空，并将答案填写在答题卡标号为16—25的相应位置上。

2014届广东省六校联盟高三年级第二次考试英语时间：120分钟满分：135分I.语言知识及应用（共两节，满分45分）第一节完型填空（共15小题；每小题2分，满分30分）阅读下面短文，掌握大意，然后从1—15各题所给A、B、C和D项中，选出最佳选项，并在答题卡上将该项涂黑。

An English padre(神父) wanted to become a member of a certain club in Africa. In order to become a member, each person had to 1 at least one lion. The padre had never shot an animal for his life. So, armed with a rifle(步枪) and led by a young African boy, the padre set out one evening for a pool in the jungle where he was told a lion came each evening to 2 .He waited patiently for a few 3 until shortly before midnight when he heard a rustling(沙沙声)noise. Sure enough a few feet away the head of the lion appeared above a bush that separated the padre and the pool. He aimed and fired. The head of the lion 4 fell behind the bush but a moment later 5 . So the padre aimed and 6 again. The head of the lion fell behind the bush and once more reappeared. The padre fired again: the same 7 . He remained calm because he 8 he had brought sixteen bullets with him. After his fourth try, his aim seemed to become more and more 9 : in fact, after his 10 try the African boy had to 11 him: “This is your last chance. If you 12 this time, we are in trouble.”The padre then realized how 13 the situation was, so he took a deep breath, aimed very carefully and fired. They waited for a moment, and then slowly 14 up to twenty: the head of the lion did not reappear. The padre was certain that at last he had shot his lion. They 15 forward together to the spot behind the bush. And what do you think they found? Sixteen lions!1. A. shoot B. kill C. catch D. hurt2. A. eat B. walk C. drink D. hunt3. A. minutes B. seconds C. days D.hours4. A. relatively B. immediately C. properly D. directly5. A. turned B. reappeared C. returnedD. moved6. A. killed B. jumped C. fired D. tied7. A. result B. situation C. answerD. problem8. A. acknowledged B. understood C. believed D. knew9. A. inaccurate B. unnecessary C. impossible D. unusual10 A. last B. fifteenth C. sixteenthD. many11. A. tell B. frighten C. warn D. remain12. A. fell B. shot C. fired D. missed13. A. difficult B. serious C. exciting D. mad14. A. counted B. waited C. addedD. named15. A. drove B. rushed C. wandered D. climbed第二节语法填空（共10小题；每小题1.5分，满分15分）阅读下面短文，按照句子结构的语法性和上下文连贯的要求，在空格处填入一个适当的词或使用括号中词语的正确形式填空，并将答案填写在答题卡标号为16—25的相应位置上。

2025届广东省六校（广州二中，深圳实验，珠海一中，中山纪念，东莞中学高三第二次联考数学试卷注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置．3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B 铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效．5．如需作图，须用2B 铅笔绘、写清楚，线条、符号等须加黑、加粗．一、选择题：本题共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．已知定义在R 上函数()f x 的图象关于原点对称，且()()120f x f x ++-=，若()11f =，则()1(2)(3)(2020)f f f f ++++=（ ） A ．0 B ．1 C ．673 D ．6742．已知向量a ，b 夹角为30，()1,2a =，2b = ，则2a b -=( )A ．2B ．4C ．D ．3．已知椭圆22:13x C y +=内有一条以点11,3P ⎛⎫ ⎪⎝⎭为中点的弦AB ，则直线AB 的方程为( ) A ．3320x y --=B ．3320x y -+=C ．3340x y +-=D ．3340x y ++= 4．若ABC ∆的内角A 满足2sin 23A =-，则sin cos A A -的值为（ ）A B ． C D ．5-35．已知向量(,1),(3,2)a m b m ==-，则3m =是//a b 的（ ） A ．充分不必要条件 B ．必要不充分条件C ．既不充分也不必要条件D ．充要条件 6．如图，在三棱柱111ABC A B C -中，底面为正三角形，侧棱垂直底面，148AB AA ==，.若EF ，分别是棱1BB CC，上的点，且1BE B E =，1114C F CC =，则异面直线1A E 与AF 所成角的余弦值为（ ）A ．210B ．2613 C ．1313 D ．13107．在菱形ABCD 中，4AC =，2BD =，E ，F 分别为AB ，BC 的中点，则DE DF ⋅=（ ）A ．134- B ．54 C ．5 D ．1548．集合{}|212P x N x =∈-<-<的子集的个数是（ ）A ．2B ．3C ．4D ．89．复数2(1)41i z i -+=+的虚部为（ ）A ．—1B ．—3C ．1D ．210．如图所示，网格纸上小正方形的边长为1，粗线画出的是某几何体的三视图，则该几何体的体积是（）A ．83B ．163C ．43 D ．811．已知复数z 满足：34zi i =+（i 为虚数单位），则z =（ ）A ．43i +B ．43i -C ．43i -+D ．43i --12．已知函数()3sin ,f x x a x x R =+∈，若()12f -=，则()1f 的值等于（ ）A ．2B ．2-C ．1a +D ．1a -二、填空题：本题共4小题，每小题5分，共20分。