2018-湖南自主招生笔试真题word版本 (1页)

2018-2019年最新湖南湖南师大附中自主招生语文模拟精品试卷（第一套）（满分：100分考试时间：90分钟）一、语文基础知识（18分，每小题3分）1．下列词语中加点的字，读音全都正确的一组是（）A．连累(lěi) 角(juã)色河间相(xiàng) 冠冕(miǎn)堂皇B专横(hâng) 忖(cǔn)度涮(shuàn) 羊肉妄加揣(chuāi)测C．笑靥(yâ) 顷(qīng)刻汗涔(cãn)涔休戚(qì)相关D慨叹(kǎi) 俨(yǎn)然刽子手(kuàì) 刎(wěn)颈之交2、下列各项中字形全对的是（）A、橘子州偌大急躁光阴荏苒B、蒙敝犄角慰籍书生意气C、敷衍磕绊笔竿艰难跋涉D、翱翔斑斓屏蔽自怨自艾3、依次填入下列各句横线上的词语，最恰当．．的一项是（）⑴虽然他尽了最大的努力，还是没能住对方凌厉的攻势，痛失奖杯。

⑵那些见利忘义，损人利己的人，不仅为正人君子所，还很可能滑向犯罪的深渊。

⑶我认为，真正的阅读有灵魂的参与，它是一种个人化的精神行为。

A.遏制不耻必需B.遏止不耻必需C.遏制不齿必须D.遏止不齿必须4、下列句中加点的成语，使用恰当的一句是（）A、故宫博物院的珍宝馆里，陈列着各种奇珍异宝、古玩文物，令人应接不暇。

B、任何研究工作都必须从积累资料做起，如果不掌握第一手资料，研究工作只能是空中楼阁．．．．。

C、电影中几处看来是闲笔，实际上却是独树一帜之处。

D、这部精彩的电视剧播出时，几乎万人空巷，人们在家里守着荧屏，街上显得静悄悄的。

5、下列句子中，没有语病的一项是（）A 大学毕业选择工作那年，我瞒着父母和姑姑毅然去了西藏支援边疆教育。

B北京奥运会火炬接力的主题是‚和谐之旅‛，它向世界表达了中国人民对内致力于构建和谐社会，对外努力建设和平繁荣的美好世界。

C他不仅是社会的一员，同时还是宇宙的一员。

他是社会组织的公民，同时还是孟子所说的‚天民‛。

湖南省2018年普通高等学校对口招生考试语文本试题卷共6道大题,21道小题,共5页。

时量150分钟。

满分120分。

一、基础知识及运用(18分,每小题3分)在人类历史流变中,任何民族走过的路都非一帆风顺。

中华民族能够在顺境中从容淡定、在送境中奋进崛起,从根本上说,就是为了中华优秀传统文化的持久涵养。

特别是贯穿其中的______、．______、______。

为中华民族生生不息，发展壮大提供了强大精神支撑。

思想理念是中华优秀传统文化的“骨骼”,从根本上决定着中华民族的思维方式、性格禀赋、．．民族特性,架构起中华儿女的心灵空间。

天人合一的整体性思维、“五行”相生的朴素唯物主义、阴阳相生的朴素辩证法、与时俱进的世界观、知行合一的实践观点等,已经深入中华儿女的思想意识深处。

传统美德是中华优秀传统文化的“经络”,维系着中华民族的团结统一,维系着泱泱大．．国的社会秩序,维系着中华儿女的共同情感。

在中华民族的价值体系中,兴亡有责的担当意识、精忠报国的爱国情怀、见贤思齐的优秀品格、孝悌忠信的荣辱观念,标注着传统文化的鲜明底色,为今天．培育和践行社会主义核心价值观提供了丰富的思想道德资源。

人文精神是中华优秀文化的“血肉”,极大（）了中华民主的创造活力，展现了中华民族生活世界的丰富独特性。

崇尚仁爱的为人之道、求同存异的处事方法，兼收并蓄的博大胸怀，形神兼倍的美学追求，俭约泰和的生活理念等，（）了中华民族独特丰富的文学艺术、科学技术、．人文学术，为人类文明史增添了厚重的中国色彩和中国气质。

1.语段中加点的字，读音不正确的一项是（）A.崛起jué骨骼赋bìng 经络géB.禀luò．．．．C.泱泱yāng 孝悌和tài dìD.并蓄xù泰．．．．2.第一段画横线的词语，使用不正确的一项是（）．．．A.任何 B.能够C.为了D.特别3.根据文脉，下列短语依次填入语段中画横线空白处，最恰当的一项是（）①传统美德②思想理念③人文精神A.①②③B.②①③C.③①②D.③②①4.语段中画横线的词语，有错别字的一项是（）求同存异见贤思齐知行合一A. B. C. D.形神兼备5.填入语段中括号内的词语，最恰当的一项是A.激发修养B.迸发滋养C.迸发修养D.激发滋养6.语段中画波浪线句子运用的修辞手法是A.夸张、排比B.比喻、排比C.拟人、夸张D.拟人、比喻二、古代诗文阅读（18分）（一）阅读下面的一首诗，完成7-8题。

2018-2019年最新湖南省长郡中学自主招生语文模拟精品试卷（第一套）（满分：100分考试时间：90分钟）一、语文基础知识（18分，每小题3分）1．下列词语中加点的字，读音全都正确的一组是（）A．连累(lěi) 角(juã)色河间相(xiàng) 冠冕(miǎn)堂皇B专横(hâng) 忖(cǔn)度涮(shuàn) 羊肉妄加揣(chuāi)测C．笑靥(yâ) 顷(qīng)刻汗涔(cãn)涔休戚(qì)相关D慨叹(kǎi) 俨(yǎn)然刽子手(kuàì) 刎(wěn)颈之交2、下列各项中字形全对的是（）A、橘子州偌大急躁光阴荏苒B、蒙敝犄角慰籍书生意气C、敷衍磕绊笔竿艰难跋涉D、翱翔斑斓屏蔽自怨自艾3、依次填入下列各句横线上的词语，最恰当．．的一项是（）⑴虽然他尽了最大的努力，还是没能住对方凌厉的攻势，痛失奖杯。

⑵那些见利忘义，损人利己的人，不仅为正人君子所，还很可能滑向犯罪的深渊。

⑶我认为，真正的阅读有灵魂的参与，它是一种个人化的精神行为。

A.遏制不耻必需B.遏止不耻必需C.遏制不齿必须D.遏止不齿必须4、下列句中加点的成语，使用恰当的一句是（）A、故宫博物院的珍宝馆里，陈列着各种奇珍异宝、古玩文物，令人应接不暇。

B、任何研究工作都必须从积累资料做起，如果不掌握第一手资料，研究工作只能是空中楼阁．．．．。

C、电影中几处看来是闲笔，实际上却是独树一帜之处。

D、这部精彩的电视剧播出时，几乎万人空巷，人们在家里守着荧屏，街上显得静悄悄的。

5、下列句子中，没有语病的一项是（）A 大学毕业选择工作那年，我瞒着父母和姑姑毅然去了西藏支援边疆教育。

B北京奥运会火炬接力的主题是‚和谐之旅‛，它向世界表达了中国人民对内致力于构建和谐社会，对外努力建设和平繁荣的美好世界。

C他不仅是社会的一员，同时还是宇宙的一员。

他是社会组织的公民，同时还是孟子所说的‚天民‛。

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自主招生面试及笔试题一一、根据考生兴趣爱好或关于考生所报专业的衍生性试题1 在20世纪，物理学研究领域有“两朵乌云”，指的是什么?(复旦大学)2 请谈谈你对宇宙大爆炸和黑洞的认识。

(复旦大学)3 简述无罪推定和有罪推定。

(复旦大学)4 中国迟迟没有新闻立法，为什么?(上海交通大学)5 你想推动生命科学领域前进，你准备怎么推动?(上海交通大学)6 现在朝鲜的核问题比较热门，你能介绍核电站和核武器在原理上有什么区别吗?(清华大学)7 如果电脑不能上网怎么检查?如果电脑中毒如何查杀?(武汉大学)8 你了解什么事经济?经济学家是做什么的?如何才能成为一名合格的经济学家?(复旦大学)9 你是否阅读过金融方面的书籍?谈谈对工商管理、经济、金融的认识。

(上海交通大学)10 你知道《南方都市报》是因为哪个事件而崛起的吗?你认为办好一份报纸最重要的是什么?(上海交通大学)二、主要考查理科基础学科知识的试题1 数学题：请证明√2是一个无理数。

(复旦大学)2 数学题：圆锥面上任意两点有没有最短距离?如果有，最短距离是什么?在圆柱面上呢?(北京大学)3 数学题：1个细菌在1分钟后分裂为2个，2分钟后分裂成了4个，那么依次分裂N分钟后，细菌的个数应当是多少?(清华大学) 动手题1 给你一笔经费，让你策划一个大型活动，你会怎么做?2 请设计一个针对当今学生攀比现象的调查。

3 请设计一个验证当地降水概率的方案。

此类题考查学生的操作能力和思维缜密度，经及学生的创意和想象力。

假设性题目1 如果你是校长，会如何激发学生的创新能力?2 描述你所希望的大学生活的一天。

3 简述你理想中的宇宙。

精品文档湖南省2018年普通高等学校对口招生考试数学本试题卷包括选择题、填空题和解答题三部分,共4页,时量120分钟,满分120分一、选择题(本大题共10小题,每小题4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.已知集合A={1,2,3,4},B={3,4,5,6},则A∩B=（）A.{1,2,3,4,5,6}B.{2,3,4}C.{3,4}D.{1,2,5,6}23x?9x?）”的（ 2. “”是“必要不充分条件A.充分必要条件 B. 既不充分也不必要条件C.充分不必要条件D.2xx2?y?函数3.）的单调增区间是（∞∞,2] D.[0,+)) C.(-A.(-∞,1] B. [1,+∞3??cos???）4.已知=（ , 且,为第三象限角则tan54433?? C. A. B. D.44331??2x1的解集是（不等式）5.1|?x|x0xx?} A.{} B.{1xx|??x0或1?0x|x?}} D.{C.{精品文档．精品文档0?y?123x?4OMO M长度的在直线为坐标原点,上，则线段点6. ）最小值是（1212 A. 3 B. 4 C. D. 525????????12b?7a?b?42ba?b?aa的夹,,，7.已知向量则向量，满足, ）角为（?30 D. 150°° C. 120A. ° B. 60 ）错误下列命题中,的是（ 8.．．平行于同一个平面的两个平面平行A. 平行于同一条直线的两个平面平行B.交线平行C. 一个平面与两个平行平面相交, 则必与另一个相交D. 一条直线与两个平行平面中的一个相交,c,b,a?200c?sinsina?sin15?b?100?的大小关系为,，则，9.已知）（b?ac?abca?c?c?b?ba?? A. B. D. C. 224?y?xO BA为坐标原，10.过点(1,1)的直线与圆相交于,两点OAB?）面积的最大值为（点,则33A. 2 B. 4 C. D. 2二、填空题(本大题共5小题,每小题4分,共20分)精品文档．精品文档11.某学校有900名学生,其中女生400名.按男女比例用分层抽样的方法,从该学校学生中抽取一个容量为45的样本,则应抽取男生的人数为 .f(x)?cosx?bbb= .则12.函)的部分图像如图所示(,为常数6)?1(x13.展开式的5x的系中数为用数()字作答??????bybacaxc则,且=14.已知向量=(1,2),+=(3,4),=(11,16),??yx .再将这个正方形各边的中点相连,画一个边长为4的正方形,15.如图个则第.10个正方形这样一共画了依次类推个正方形得到第2,,10 .正方形的面积为精品文档．精品文档60满分22，小题为选做题.本大题共7小题,其中第21(三、解答题解答应写出文字说明、证明过程或演算步骤）分,)分16.(本小题满分10aaa，}为等差数列,=5=1,已知数列{31n a }的通项公式；（Ⅰ）求数列{n SaS nn. 若{}的前=100项和为，求 . （Ⅱ）设数列nnn分）17.(本小题满分10 .用,从中随机抽取2瓶检测瓶不合格6某种饮料共瓶，其中有2?求表示取出饮料中不合格的瓶数. 随机变量)的分布列；(Ⅰ?. 检测出有不合格饮料的概率(Ⅱ))分本小题满分18.(10精品文档．精品文档f(x)?log(x?3)(a?0,且a?1)的图像过点(5，1) 已知函数a f(x)f(x)的定义域；的解析式，并写出Ⅰ)求 (f(m)?1m的取值范围若,求(Ⅱ)19.(本小题满分10分)ABC?ABCAAAA?AB?BCABC，,在三棱柱中，，⊥底面如图11111?ABC?AC D的中点,.为90°AACC BD；(I)证明: ⊥平面11BAAACC所成的角. (Ⅱ)求直线与平面111精品文档．精品文档20.(本小题满分10分)22yx?1?FF0?a?b:C(1,0),(已知椭圆(-1,0))的焦点为、2122ba A(0,1)在椭圆C点上.C的方程； (I)求椭圆FAFCll M，且与与椭圆垂直,(II)(Ⅱ)直线过点相交于11NMN的长求.两点,选做题:请考生在第21，22题中选择一题作答.如果两题都做,则按所做的第21题计分,作答时,请写清题号.21.(本小题满分10分)ABCDBC?CD?6?BCD?4AB?120°，,,如图在四边形中，,?ABC?ABCD的面积.,75°求四边形精品文档．精品文档22.)10分(本小题满分23.BA吨已知生产1两种原料某公司生产甲、乙两种产品均需用.，吨1每种产品所需原料及每天原料的可用限额如表所示.如果生产该公问:.生产1吨乙产品可获利润5万元4甲产品可获利润万元,?,才能使公司每天获得的利润最大司如何规划生产精品文档．。

2018-2019年最新湖南湖南师大附中自主招生考试英语模拟精品试卷（第一套）考试时间：120分钟总分：150分第I卷（选择题，共100分）第一节：单项填空（共25小题，每小题1分，满分25分）1. —When did the terrible earthquake in YaNan happen?—It happened ________ the morning of April 20, 2013.A. onB. atC. inD. /2. Our teacher told us ________ too much noise in class.A. to makeB. makeC. not to makeD. not make3. Here is your hat. Don’t forget______ when you __________.A. to put it on, leaveB. to wear it, leaveC. to wear it, will leaveD. putting it on, will leave4. The baby is sleeping. You _____ make so much noise.A. won’tB. mustn’tC. may notD. needn’t5. Since you are _____ trouble, why not ask _________ help?A. in, forB. in, toC. with, forD. with, to6. It’s about___________kilometers from Nanchong to Chengdu.A. two hundredsB. two hundreds ofC. two hundredD. two hundred of7. It is six years since my dear uncle ________China.A. leftB. has leftC. is leftD. had left8. —How long _______ you _______ the bicycle?—About two weeks.A. have, hadB. have, boughtC. did, buyD. have, have9. The Yellow River is not so ________ as the Yangtze River.A. longerB. longC. longestD. a long10. Mrs.Green usually goes shopping with ________ umbrella in ________ summer.A. a；theB. an； /C. the； aD. /；/11. At first, I was not too sure if he could answer the question. However, ____,he worked it out at last with the help of his friend.A. to my angerB. to my surpriseC. in other wordsD. ina word12. —Must I stay here with you?—No, you ______.You may go home, but you _____ go to the net bar (网吧).A. mustn't; needn'tB. needn't; mustn'tC. must; needD. need; must13. I ______ the newspaper while my mother _____TV plays yesterday evening.A. was reading; was watchingB. was reading; watchedC. read; was watchingD. read; would watch14. It's a rule in my class that our classroom ________ before 6：00 p. m.every day.A. be able to cleanB. should be cleaningC. must cleanD. must be cleaned15. —Tom wants to know if you ________ a picnic next Sunday.—Yes. But if it ________， we'll visit the museum instead.A. will have; will rainB. have; rainsC. have; will rainD. will have; rains16.—Would you mind looking after my dog while I'm on holiday?—________.A. Of course notB. Yes. I'd be happy toC. Not at all. I've no timeD. Yes, please17. Many students didn’t realize the importance of study _______they left school.A. whenB. untilC. afterD. unless18. My father _______ to Shanghai. He _______ for over 2 months.A. has been, has leftB. has gone, has goneC. has gone, has been awayD. has been, has gone19. They are your skirts. Please __________.A. put it awayB. put out itC. put them awayD. put them out20. —Please read every sentence carefully. you are, mistakes you’ll make.—Thank you for your advice.A. The more carefully; the fewerB. The more careful; the lessC. The more carefully; the lessD. The more careful; the fewer21. My friend is coming today but he didn’t tell me _______.A. when did the train arriveB. how did the train arriveC. when the train arrivedD. how the train arrived22. I felt it hard to keep up with my classmate s. But whenever I wantto _______, my teacher always encourages me to work harder.A. go onB. give upC. run awayD. give back23. —________ fine weather it is today!—Let's go for a picnic.A. WhatB. HowC. What aD. How a24. — Mary, you’re going to buy an apartment here, aren’t you?—Yes, but I can’t_______an expensive one.A. spendB. costC. payD. afford25. —Would you like to drink coffee or milk?—_________. Please give me some tea.A. NeitherB. BothC. EitherD. None第二节：完形填空（共20小题，每小题1分，满分20分）(A)Big schoolbags have been a serious problem for students for a long time.Maybe your schoolbag is too __26__ to carry, and it troubles you a lot __27__ you want to find a book out to read. Now an e­textbook will __28__ you.It is said that e­textbooks are going to be __29__ in Chinese middle schools.An e­textbook, in fact, is a small __30__ for students.It is much __31__ than a usual schoolbag and easy to carry. Though it is as small as a book, it can __32__ all the materials (材料) for study.The students can read the text page by page on the __33__， take notes with the pointer (屏写笔). Or even “__34__” their homework to their teachers by sending e­mails. All they have to do is to press a button.Some people say e­textbooks are good, but some say they may be __35__ for the students' eyes. What do you think of it?26.A.light B. heavy C. useful D. comfortable27.A.till B. after C. before D. when28.A.trouble B. prevent C. help D. understanded B. kept C. invented D. lent B. radio C. pen D. computer31.A.heavier B. lighter C. cheaper D. brighter32.A.hold B. build C. discover D. practice33.A.blackboard B. desk C. screen D. card34.A.find out B. hand in C. get back D. give back35.A.helpful B. famous C. good D. bad(B)Food is very important. Everyone needs to _36_ _well if he/she wants to have a strong body. Our minds also need a kind of food. This kind of food is__ 37 __.We begin to get a knowledge even when we are very young. Small children are __38__ in everything around them. They learn __39 __while they are watching and listening. When they are getting older, they begin to ___ 40__ story books, science books…anything they like. When they find something new, they have to ask questions and__41___ to find out the answers.What is the best ___42___to get knowledge? If we learn___43___ourselves, we will get the most knowledge, If we are__44___getting answers from others and don’t ask why, we will never learn more and understand___45_.36. A. sleep B. read C. drink D. eat37. A. sport B. exercise C. knowledge D. meat38. A. interested B. interesting C. weak D. meat39. A. everybody B. something C. nothing D. anything40. A. lend B. write C. think D. read41. A. try B. wait C. think D. need42. A. place B. school C. way D. road43. A. in B. always C. to D. by44. A. seldom B. always C. certainly D. sometimes45.A.harder B. much C. well D. better第三节：阅读理解（共25小题，每小题2分，满分50分）AFamous Museums_______ .A. BeijingB. LondonC. New YorkD. The USA47. New York Museum is America’s largest museum on American__________.A. areaB. historyC. collectionsD. buildings48. The Palace Museum. Which is in the center of Beijing, is also called“Forbidden City(紫禁城)” in China. It lies in __________.A.Chang’an StreetB. New Oxford StreetC. BerlingD. Chestnut Street49. According to the form, if you want to see ancient Chinese collections,you can visit ____ at most.A. one museumB. two museumsC. three museumsD. four museums50. Which of the following is TRUE according to the information above?A. Each ticket for the Palace Museum costs the same in the whole year.B. You don’t have to pay for tickets if you visit New York Museum on Monday.C. British Museum lies in Chestnut street, London.D. New York Museum is the largest in the world.BIn recent years, more and more people like to keep pets such as a dog, a cat, a monkey and other animals. But usually people would accept tame(温顺的) and loyal(忠诚的) animals as pets rather than dangerous ones such as a lion，a tiger or a snake.People love pets and take good care of them. The owners usually regard pets as good friends and some even consider them as members of the family. Although they are not human beings(人类), their behavior sometimes is better than human beings, for they are always loyal to their owners. There are always many stories about brave and smart pets. We often hear that a pet dog saved the owner's life or traveled thousands of miles to return home. Such stories often make pets more lovely.Some pets can also be trained to help people with some special work. For example, trained dogs can help the blind to walk and trained dogs and pigs can even help police to find where drugs are easily.But pets are sometimes trouble-makers. Some pets like dogs or snakes may hurt people without any warning. Some people may become ill after being hurt because of the virus carried by the pets. If they are not taken good care of, they will become very dirty and easily get ill. So pets are helpful to us but keeping pets is not an easy job.51. What animals are thought to be dangerous as pets?A. Cats.B. Dogs.C. Snakes.D. Monkeys52. Which of the following statements is TRUE about pets?A. All the pets are considered as family members.B. Pets always behave better than human beings.C. Sometimes some pets can protect their owners.D. Pets like traveling far away from home.53. Why do people train pets according to the passage?A. To make them more clever.B. To make them more lovely.C. To find drugs for the blind.D. To do some special work.54. What can we learn from the last paragraph?A. Pets often hurt strange people.B. Pets can live well with the virus.C. Pets are dirty and dangerous.D. Pets should be looked after well.55. What is the best title for the passage?A. Training Pets.B. Keeping Pets.C. Cleaning Pets.D.Loving Pets.CFrom Feb. 8 to Mar. 1 is our winter holiday. I think everybody did a lot in the holiday. But it seems that I did nothing and it was my most unlucky holiday.I spent a lot of time on my homework. Every morning my mother woke me up early and I had breakfast in a hurry. Then I had to do my homework almost the whole day! I’m not a very slow person but the homework was too heavy!I was also unlucky when playing. During the Spring Festival, I played fireworks but my finger was hurt because I was careless to light the fireworks. I began to fear playing with fireworks from then.I was still unlucky on my friend’s party. On my friend’s birthday, unusually I woke up at 10:50 because my parents went to visit my grandmother early in the morning. The party would start in 10 minutes! So I hurried to my friend’s home without breakfast. I returned very late that day and when I got home, my parents were very angry with me.Another worrying thing was my weight. Last term, I was 46 kg but nowI am 51 kg! I have to consider losing weight!56. How long did the winter holiday last?A. two monthsB. one monthC. 4 weeksD. 22 days57. The writer got up early every day during the holiday because ______.A. he had to finish homeworkB. he had to have breakfastC. he was a very slow personD. his mother was in a hurry58. He hurt his finger because of ________.A. the Spring FestivalB. his carelessnessC. the light of fireworksD. his fear of playing59. Why were the writer’s parents angry with him?A. Because he got up too late.B. Because he missed breakfast.C. Because he was late for the party.D. Because he came back home too late.60. What did the writer want to tell us in the passage?A. He had an unlucky holiday.B. He had too much homework.C. His parents were very strict.D. He planned to lose weight.DSteven Jobs, the designer of Apple Computer, was not clever when he was in school.At that time, he was not a good student and he always made troubles with his schoolmates.When he went into college, he didn't change a lot.Then he dropped out.But he was full of new ideas.After he left college, Steven Jobs worked as a video game designer.He worked there for only se­veral months and then he went to India.He hoped that the trip would give him some new ideas and give him a change in life.Steven Jobs lived on a farm in California for a year after he returned from India.In 1975, he began to make a new type of computer.He designed the Apple Computer with his friend in his garage.He chose the name “Apple” just because it could help him to remember a happy summer he once spent in an apple tree garden.His Apple Computer was such a great success that Steven Jobs soon became famous all over the world.61.Steven Jobs was not a good student in school because he ________.A. never did his lessonsB. was full of new ideasC. always made troubles with his schoolmatesD. dropped out62.Did Steven Jobs finish college?A. Yes, he did.B. No, he didn't.C. No, he didn't go into college.D. We don't know.63.Steven Jobs designed his new computer ______.A. in IndiaB. with his friendC. in a pear tree gardenD. by himself64.Steven Jobs is famous for his ________ all over the world.A. new ideasB. appleC. Apple ComputerD. video games65.From this passage we know ________.A. Steven Jobs didn't finish his studies in the college because he hatedhis schoolmatesB. Steven Jobs liked traveling in India and CaliforniaC. Steven Jobs liked trying new things and making new ideas become trueD. Steven Jobs could only design video gamesEIf you go into the forest with friends, stay with them. If you don't, you may get lost. If you get lost, this is what you should do. Sit down and stay where you are. Don't try to find your friends. Let them find you. You can help them find you by staying in one place. There is another way to help your friends or other people to find you. You can shout or whistle (吹口哨) three times. Stop. Then shout or whistle three times again. Any signal given three times is a call for help.Keep up shouting or whistling. Always three times together. When people hear you, they will know that you are not just making a noise for fun. They will let you know that they have heard your signal. They will give you two shouts or two whistles. When a signal is given twice, it is an answer to a call for help.If you don't think that you will get help before night comes, try to make a little house with branches .Make yourself a bed with leaves and grass.When you need some water, you have to leave your little branch house to look for it. Don't just walk away .Pick off small branches and drop them as you walk in order to go back again easily.66.If you get lost in the forest, you should ________.A. walk around the forest to find your friendsB. stay in one place and give signalsC. climb up a tree and wait for your friends quietlyD. shout as loudly as possible67.Which signal is a call for help?A. Shouting one time as loudly as you can.B. Crying twice.C. Shouting or whistling three times together.D. Whistling everywhere in the forest.68.When you hear two shouts or two whistles, you know that ________.A. someone finds something interestingB. people will come and help youC. someone needs helpD. something terrible will happen69.Before night comes, you should try to make a little house with ________.A. stoneB. earthC. leaves and grassD. branches70.Which of the following is the best title?A. Getting Water in the ForestB. Spending the Night in the ForestC. Surviving (生存) in the ForestD. Calling for Help in the Forest 第四节：补全对话，从方框内7个选项中选择恰当的5个句子完成此对话(共5分)John: Hi, Karl. You were not here, in your class yesterday afternoon. What was wrong?Karl: 71________John: Sorry to hear that.72Karl: Much better. The fever is gone. But I still cough and I feel weak. John: 73Karl: Yes, I have. I went to the doctor’s yesterday afternoon. The doctor gave me some medicine and asked me to stay in bed for a few days. John: 74Karl: Because I’m afraid I’ll miss more lessons and I’ll be left behind. John: Don’t worry. Take care of yourself. 75第Ⅱ卷（非选择题,共50分）一、根据句意及所给提示，补全单词或用单词、固定短语、固定搭配的正确形式填空(10分)76. Many athletes won gold medals in the Olympics, they are our national h_____.77. Tom didn’t finish _____________( write) his test because he ran out of the time.78. The girl is making a model doll ___________ (care).79. The boy felt __________(困倦的) in class because he stayed up late last night.80. So Terrible! The airplane ______________(起飞) five minutes ago.81.I don't think students should be （允许）to bring mobile phones to school.82.I find it useless to spend much time （解释）it to him.83. She prefers keeping silent to （争吵）with others.84. It is important for us to be （有信心的）of doing everything.85. The doctor operated on the patient （成功）yesterday.二、汉译英, 一空一词（共5小题，每小题2分，计10分）86. 他默默地在雨中行走，浑身上下都被淋湿。

【推荐下载】湖南自主招生笔试真题word版本本文部分内容来自网络整理，本司不为其真实性负责，如有异议或侵权请及时联系，本司将立即删除！== 本文为word格式，下载后可方便编辑和修改！ ==湖南自主招生笔试真题想去湖南读书吗?了解过湖南自主招生笔试考什么题型吗?下面小编为大家整理了湖南自主招生笔试真题，欢迎阅读参考!湖南大学、中南大学、湖南师范大学3所自主招生试点院校开始考核环节，共有4378人进入湖南大学的考核环节，1965人进入中南大学的考核环节，1304人进入湖南师范大学的考核环节。

201X年，全国共有90所高校参与自主招生试点，其中在湖南招生的高校共有78所，湖南境内的高校包括湖南大学、中南大学和湖南师范大学3所高校。

不过，和往年众多高校主动错开考核时间不同，今年，湖南大学、中南大学、湖南师范大学的考核启动时间恰好重叠在一起，这也导致有意同时报考这3所高校自主招生的考生失去部分机会。

近几年来，湖南省3所试点自主招生高校的招生计划趋于稳定，其中湖南大学、中南大学维持在年度本科招生计划的5%左右，分别为250人和400人;湖南师范大学的招生计划维持在年度本科招生计划的2%左右，约104人。

不同的学校，经过第一轮审核进入选拔程序的考生，最终的通过率也有很大悬殊。

其中，湖南大学的通过率最低，约为5.7%;湖南师范大学的通过率约为8%;中南大学的通过率约为20%。

湖南师大将于6月22日之前确定自主招生入选考生名单，入选考生人数不超过招生计划数的2倍，考生可获得降至本科一批线录取的优惠。

以下是从新闻稿件中总结出的湖南大学自主招生笔试题，供参考。

机械类专业需笔试两科，湖南大学的考核方式分为笔试和复试两个部分，除了机械类(工程力学)专业的笔试包括两个科目之外，其他的7个专业均只需考一个科目。

笔试考核重点为与报考专业相关的知识，复试重点考查考生的专业知识运用能力及学习潜力。

考生需要注意的是，参加湖南大学的考核时，考生不得穿着校服、制服，也不得携带各类电子产品以及佩戴校徽、手表和饰品等参加考试。

2018年___自主招生数学试卷(含答案解析)2018年___自主招生数学试卷一、选择题（本大题共6小题，共24.0分）1.√16的平方根是()A.4B.±4C.22.若√(1−x)2=x−1成立，则x满足()A.x≥1B.x≥C.x≤1D.±23.已知x=√5−1，则x2+2x的值是()A.2B.3C.4D.54.如图所示的四条直线a、b、c、d，直线a、b与水平线平行，以其中一条为x轴，d与水平线垂直，取向右为正方向；直线c、以其中一条为y轴，取向上为正方向．某同学在此坐标平面上画了二次函数x=xx2+2xx+2(x≠0)的图象如图，则下面结论正确的是()A.a为x轴，c为y轴B.a为x轴，d为y轴C.b为x轴，c 为y轴D.b为x轴，d为y轴5.如图，已知AB为圆的直径，C为半圆上一点，D为半圆的中点，xx⊥xx，垂足为H，HM平分∠xxx，HM交AB于x.若xx=3，xx=1，则MH长为()A.1B.1.5C.0.5D.0.76.如图，△xxx中，∠x=90°，D是BC边上一点，∠xxx=3∠xxx，xx=8，xx=7.则AB的值为()A.15B.20C.2√2+7D.2√2+√7二、填空题（本大题共10小题，共40.0分）7.已知实数x、y满足x+2x=5，则x−x=3.8.分解因式：x2+4xx+4x2+x+2x−2=(x+2x+1)2−3.9.在平面直角坐标系中，点A，B的坐标分别为(x,3)，(3x−1,3)，若线段AB与直线x=2x+1相交，则m的取值范围为(0,1)。

10.若一个圆锥的侧面展开图是半径为18cm，圆心角为240°的扇形，则这个圆锥的底面半径长是9cm。

11.如图，已知在矩形ABCD中，点E在边BC上，BE=2CE，将矩形沿着过点E的直线翻折后，点C、D、N处，B在同一直线上，分别落在M、F与BE交于点G.设AB=√3，那么△xxx的周长为4+4√3.12.如图，已知点x1，x2，…，xx均在直线x=x−1上，点x1，x2，…，xx均在双曲线x=−x上，x1x1⊥x并且满足：x1x2⊥x轴，x2x2⊥x轴，…，xx−1xx⊥x轴，xxxx⊥x轴，且x1x2=x2x3=…=xx−1xx，则n的最小值为2.1.由题意可知，点B在x轴负半轴，点A在x轴正半轴，且AB垂直于x轴，因此AB的斜率为0，即AB为x轴，所以B的纵坐标为0.又因为B在x轴负半轴，所以其横坐标为负数，设为-a。

湖南省 2018 年普通高等学校对口招生考试数学本试题卷包括选择题、填空题和解答题三部分, 共 4 页 , 时量 120 分钟 , 满分 120 分一、选择题 ( 本大题共 10 小题 , 每小题 4 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. 已知集合 A={1,2,3,4},B={3,4,5,6},则 A ∩ B=（ ）A.{1,2,3,4,5,6}B.{2,3,4}C.{3,4}D.{1,2,5,6}2. “ x 29 ”是“ x 3 ”的（）A. 充分必要条件B.必要不充分条件C.充分不必要条件D. 既不充分也不必要条件3. 函数 y x22x 的单调增区间是（）A.(- ∞ ,1]B. [1,+∞) C.(-∞,2]D.[0,+ ∞)4. 已知 cos3 , 且为第三象限角 , 则 tan=（）54334A. 3B.4C.4D.35. 不等式 2x1 1 的解集是（）A.{ x | x 0 }B.{C.{ x | 0 x 1}D.{x | x 1 }x | x 0或x 1 }6. 点 M 在直线 3x 4y 12 0 上， O 为坐标原点 , 则线段 OM 长度的最小值是（）A. 3B. 4C.12 D.12 2557. 已知向量 a ， b 满足 a7 ， b12 ,a ?b42, 则向量a , b的夹角为（ ）数学试卷第1页（共9页）8. 下列命题中 , 错误的是（）．．A.平行于同一个平面的两个平面平行B.平行于同一条直线的两个平面平行C.一个平面与两个平行平面相交 , 交线平行D.一条直线与两个平行平面中的一个相交 , 则必与另一个相交9. 已知a sin15 ， b sin100 ， c sin 200 ,则 a, b,c 的大小关系为（）A. a b cB. a c bC. c b aD. c a b10. 过点 (1,1) 的直线与圆x2y2 4 相交于A，B两点, O 为坐标原点,则OAB 面积的最大值为（）A. 2B. 4C.3D. 23二、填空题 ( 本大题共 5 小题 , 每小题 4 分, 共 20 分)11.某学校有 900 名学生 , 其中女生 400 名. 按男女比例用分层抽样的方法 , 从该学校学生中抽取一个容量为45 的样本 , 则应抽取男生的人数为.12. 函f ( x)cosx b ( b 为常数)的部分图像如图所示,则 b = .6 13.(x 1)的展开式中x5的系数为( 用数字作答 )14.已知向量a=(1,2), b =(3,4), c =(11,16),且 c = xa + yb ,则 x y.15.如图 , 画一个边长为 4 的正方形 , 再将这个正方形各边的中点相连得到第 2 个正方形 , 依次类推 , 这样一共画了 10 个正方形 . 则第 10 个正方形的面积为.三、解答题 ( 本大题共 7 小题 , 其中第 21，22 小题为选做题 . 满分 60分, 解答应写出文字说明、证明过程或演算步骤）16.( 本小题满分 10 分 )已知数列 { a n } 为等差数列 , a1 =1, a3 =5，（Ⅰ）求数列 { a n } 的通项公式；（Ⅱ）设数列 { an } 的前n项和为Sn .若Sn=100，求n.17.( 本小题满分 10 分）某种饮料共 6 瓶，其中有 2 瓶不合格 , 从中随机抽取 2 瓶检测 . 用表示取出饮料中不合格的瓶数 . 求( Ⅰ ) 随机变量的分布列；( Ⅱ ) 检测出有不合格饮料的概率.18.( 本小题满分 10分 )已知函数 f ( x)log a ( x 3) (a0,且 a 1) 的图像过点(5，1)( Ⅰ ) 求f (x)的解析式，并写出 f (x) 的定义域；( Ⅱ ) 若f (m) 1, 求m的取值范围19.( 本小题满分 10分 )如图 , 在三棱柱ABC A1B1C1 中，AA1 ⊥底面ABC ， AA1 AB BC ， ABC 90°,D为AC的中点 .(I)证明 : BD⊥平面AA1C1C；( Ⅱ ) 求直线BA1与平面AA1C1C所成的角 .20.( 本小题满分 10 分 )x2y21( a b 0) 的焦点为F1(-1,0)、 F2(1,0),已知椭圆C :2b2点Aa(0,1) 在椭圆 C上 .(I)求椭圆 C 的方程；(II)( Ⅱ) 直线l过点F1且与AF1垂直 , l与椭圆C相交于M，N两点 , 求MN 的长.选做题 : 请考生在第 21，22 题中选择一题作答 . 如果两题都做 , 则按所做的第 21 题计分 , 作答时 , 请写清题号 .21.( 本小题满分 10 分 )如图 , 在四边形ABCD中,BC CD 6 ，AB 4, BCD 120°,ABC75°, 求四边形ABCD的面积 .22.( 本小题满分 10 分)某公司生产甲、乙两种产品均需用 A ， B 两种原料.已知生产1吨每种产品所需原料及每天原料的可用限额如表所示 . 如果生产 1 吨甲产品可获利润 4 万元,生产 1 吨乙产品可获利润 5 万元 . 问: 该公司如何规划生产 , 才能使公司每天获得的利润最大 ?甲乙原料限额A （吨）128B （吨）3212参考答案一、选择题：1. C2. B3. B4. A5. D6. D7. C8.B9. D 10. A二、填空题：11. 25 12.213. 6 14. 5 15.132三、解答题16. 解：（Ⅰ）数列 { an } 为等差数列 ,a1 =1,a3 =5公差 d=51231故 a n 1 2( n 1)2n 1（Ⅱ）∵等差数列 { an} 的前n项和为S S=100n ，nS n n(a1 a n ) 2n(1 2n 1) 100∴2∴n 1017.解：（Ⅰ）的可能取值有 0，1，2P （0）=C42 C202C 625P （2）=C40 C 221C 6215C41 C218P（1）= C6215故随机变量的分布列是：012 P28151515（Ⅱ）设事件A表示检测出的全是合格饮料，则A表示有不合格饮料检测出的全是全格饮料的概率P(A)C42 C20225C 6P(A) 1 23故检测出有不合格饮料的概率5518.解：（Ⅰ）∵函数 f ( x)log( x3) (a0, 且a1) 的图像过点(5，1)a∴log a 2 1∴ a2f (x)log 2 (x 3)有意义，则x3 0∴ x3函数 f (x)log 2( x3) 的定义域是 (3, )( Ⅱ) ∵f ( x) log2( x3) ， f (m)1∴ log 2 (m3) 1log 2 2∴m 3 2∴m 5又f ( x)log2(x 3)的定义域是(3, )，即m 3∴3 m 5m的取值范围是（ 3， 5）19.（Ⅰ）证明：∵在三棱柱 ABC A1 B1C1中，AA1⊥底面ABC∴AA1⊥BD又 AB BC ，ABC90° , D为AC的中点 .∴BD ⊥AC而AA1 AC A∴BD ⊥平面AA1C1C( Ⅱ) 由（Ⅰ）可知：BD⊥平面AA1C1C连结A 1D，则BA 1D 是直线 BA 1 与平面 AA 1C 1C 所成的角 在 Rt A BDBD12 ABA B2 AB中，AC122， 1∴ sin BA 1 DBD1A 1B2∴ BA 1 D 30即直线 BA 1 与平面 AA 1C 1C 所成的角是 30 .20. （Ⅰ） 椭圆 C :x2y 21( a b0 ) 的焦点为 F (-1,0) 、F (1,0)a 2 b2解： ∵1 2∴c1又点 A (0,1) 在椭圆 C 上∴b 21∴ a2b2c21 1 2∴椭圆 C的方程是x 2y212( Ⅱ ) 直线 AF 1 的斜率kAF 11而直线 l 过点 F 1 且与 AF 1 垂直∴直线 l 的斜率是 k1直线 l 的方程是yx 1yx1消去 y 得： 3x2由 x2y214x 02设M ( x 1, y 1 )，N ( x 2, y 2 )，则x 1 x 24 x x3 ，21xx(x x 2)24x x24 1211 3MNk 21 xx24 4 212334即MN的长是3221. 解：如图，连结BD在 BCD 中， BC CD6 ，BCD120°，由余弦定理得：BD2BC2CD22BC CD cos BCD62622 6 6 (1 )2623BD6 3四边形ABCD的面积S四边形 ABCD =SBCDSABD=1 BC CD sinBCD1 BA BD sin ABD2 2= 16 6 sin 1201 4 6 3 sin 452 2=1 6 6 3 1 4 6 32 2 2 22= 9 3 6 622. 解：设公司每天生产甲产品 x吨，乙产品 y吨，才能使公司获得的利润 z最大，则 z 4x 5 y ， x、 y 满足下列约束条件：x0y 0x 2y 8 3x2y 12作出约束条件所表示的平面区域，即可行域，如图中的阴影部分，四边形ABOC作直线y4x 及其平行线54zl：y5 5，直线l表示斜率为4，纵截距为z的平行直线x55系，当它在可行域内滑动时，由图可知，直线l 过点A时，z取得最大值，x 2y8由3x 2y 12 得A(2,3)∴z max 4 2 5 323 万元即当公司每天生产甲产品 2 吨，乙产品 3 吨时，公司获得的利润最大，最大利润为 23 万元 .。