2016年广州二模

2016 年广州市普通高中毕业班综合测试（二）语文参考答案及评分标准1．【内容理解】（3 分）C （原文表述是“融合了新闻报道的现实性与细致观察及小说的技巧与道德眼光”，选项表述为“运用小说家的直觉洞察力”，与原文不符。

）2．【理解分析】（3 分）D （原文表述是“非虚构文学……总是容易被和虚构文学对立起来谈”，选项表述为“非虚构文学与虚构文学是对立的”，与作者观点不符；“非虚构文学与虚构文学是对立的”与后面的结果没有因果关系。

3．【概括分析】（3 分）C （原文是“非虚构写作只能尽最大努力接近‘真实’”，不可能达到真正的“真实”，选项表述与原文不符。

）4．【文言理解】（3 分）C （“扫除之职固当”作“以为”的宾语，“尔”是句末语气助词，“所以”表结果，因此A、B 选项错误。

“力士”应做下句主语，结合上句意思，“逐”的不是力士，因此D 选项错误）5．【实词理解】（3 分）A （“特指男女十五岁成年”理解不恰当，应该是特指“女子十五岁成年”。

）6．【概括分析】（3 分）B （牟子才作记不是“以致”后面内容的直接原因；“从旁阻挠”的是其他“宦者”，不是董宋臣。

）7．【文言翻译】（10 分）（1）于是亲自写信给他说：“我想见你很久了，所以有这个任命，你千万不要有疑虑，为了我（你就）勉为其难出来做官吧。

”[5 分。

“赐御笔”1 分，“是命”1 分，“起”1 分，大意2 分。

]（2）当时士大夫稍微触犯当权者，就被流放，子才向皇上请求重罪的轻罚，轻罪的免除处罚。

[5 分。

“迕”1 分，“窜流”1 分，“放还”1 分，大意2 分。

]参考译文：牟子才，字荐叟，井研人。

他的八世祖牟允良生下来一岁时，遇上淳化年间强盗作乱，全家在此难中灭绝，仅有一个未成年的姑姑幸免，她用缸盖住允良，允良得以辛免。

牟子才小时候跟着父亲寄居在陈咸家，陈咸大奏音乐大摆宴席，牟子才闭门读书好像没听到看到，见到他的人都觉得他与众不同。

嘉定十六年牟子才考中进士。

试卷类型：A 2016年广州市普通高中毕业班综合测试（二）英语2016.4 注意事项：1．本试卷分第I卷（选择题）和第Ⅱ卷（非选择题）两部分。

答卷前，考生务必将自己的姓名、考生号、考场号和座位号填写在答题卡上。

因测试不考听力，第I卷从第二部分的“阅读理解”开始，试题序号从“21”开始。

2．回答第I卷时，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，再选涂其他答案标号。

写在本试卷上无效。

3．回答第Ⅱ卷时，将答案写在答题卡上。

写在本试卷上无效。

4．考试结束后，将本试卷和答题卡一并交回。

第I卷第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。

AThe best of adventure and sport in NSWIf you want adventure, then the state of New SouthWales (NSW) in Australia is the place to go. No matterwhat the season, you can choose from a wide variety oflandscapes, climates, activities and experiences all witheasy access to tour operators and local guides.For snow lovers, there's no better place than theSnowy Mountains. Skiers and snowboarders can hit theslopes for some downhill thrills in Kosciuszko National.Park. Non-skiing adventure-seekers will enjoy hiking or snowshoeing.If water sports are more your thing, there are plenty of places to go. Surfers you’re your surfboards and head to Byron Bay, Shellharbour, or Newcastle's Merewether Beach. To see spectacular sea life up close, visit Lord Howe Island, a world-famous destination for underwater diving.The oceans, lakes and rivers around NSW offer a lifetime's worth of exciting fishing and boating challenges. Want more? Experience the rush of whitewater rafting in Jindabyne and Penrith, or go barefoot waterskiing in Port Stephens.For adventure in NSW, the sky's the limit! Book a hot-air-balloon or helicopter ride over the stunning vineyards of the Hunter Valley, go skydiving in Wollongong, or try hang-gliding in Stanwell Park.Get to know the State's unique and tough landscapes on a caving, canoeing or rock climbing adventure. Four-wheel-driving and off-roading tours are popular in both Country NSW and Outback NSW. Or explore parts of the State on horseback-- you'Il find great horse riding options in Sydney and throughout NSW.21. What is the purpose of this article?A. To advertise a new holiday tour.B. To describe the geography of NSW.C. To promote NSW's tourist attractions.D. To encourage people to move to NSW.22. Where can you go barefoot waterskiing?A. Port Stephens.B. The Hunter ValleyC. Stanwell Park.D. Wollongong.23. Who are the intended readers？A. Families.B. Local guides.C. Photographers.D. Adventure travellersBThe United States of America was founded in 1776 after the 13 independent American states rose up against the ruling British, defeated them in the American Revolutionary War, and signed the Declaration of Independence, the document which declared the creation of the new country.The men who led the revolution, drafted the Declaration of Independence, and wrote the first American laws are known as " founding fathers". Benjamin Franklin, whose picture is on the US 100-dollar note, was appointed to prepare the Declaration that was eventually signed by the other founding fathers.Franklin was born in 1706 in Boston to a soap maker named Josiah Franklin. His father could not afford full schooling for all his children, but Benjamin loved books and worked in his elder brother's printing business before starting a newspaper called the Pennsylvania Gazette in 1729. He wrote and drew cartoons for the newspaper. In addition, he worked to improve living conditions in the city: introducing street lights, cleaning the roads and building libraries. In the 1740s, Franklin retired from his newspaper and turned to science with great success. He was a very smart man and his work on electricity, including the "kite experiment" which confirmed the nature of lightning, made him famous throughout the world.Franklin earned the title of the “First American" for his efforts to unite the 13 American states, and to win their independence. This part of the story starts in London. He was sent to the city to persuade the British to treat the American states more fairly. It was here that he began interacting with important political thinkers and activists of the time and developing his own political ideas.Following his return to America in 1761 he became much more active in American politics and in the battle against British rule.After the United States of America was established, Franklin held several important positions such as the first United States Postmaster General, Ambassador to France and President of Pennsylvania. He is also famous today for his wise sayings, including "a penny saved is a penny earned” and “a n ounce of prevention is worth a pound of cure".24. What is the article mainly about?A. The American Declaration of Independence.B. Franklin's contributions to American society.C. The American War of Independence.D. Benjamin Franklin's early life.25. How did Franklin begin developing his own political thinking?A. By discussing ideas with political activists in Britain.B. By persuading the 13 American states to unite.C. By fighting against British rule in America.D. By writing articles for his own newspaper.26. What can be inferred about Franklin from the article?A. His most important contribution was in science.B. He was the leader of the “founding fathers”.C. He was successful in many different areas.D. He came from a very wealthy family.27. What is the correct order for the following events from Franklin's life?a. He started a newspaper business.b. He carried out the kite experience on electricity.c. He worked for his brother in a printing company.d. He was appointed the Ambassador to France.e. He helped write the Declaration of Independence.f. He visited England to discuss independence.A. e, c, a, b, f, dB. c, a, b, f, e, dC. a, c, f, b, d, eD. f, d, a, b, c, eCWhether or not you believe Professor Stephen Hawking's alarming theory that building a “strong” artificial intelligence (AI) could lead to the end of the human race, it’s clear that AI is reaching the point where soon it will affect almost every aspect of how we work with computers. We must get used to computers that talk back.Last year, investment bank Deep Ventures attracted much media attention when it announced that it had appointed an AI computer to its board of directors to help make important business decisions. What actually happened was that the company used a program called VITAL to analyse potential investments (授资) in different businesses. But VITAL doesn't attend board meetings or vote - it's just a program. While it's not quite the evil robot we see in science fiction movies, it shows us how far computers and AI have advanced.Soon AI systems will be driving our vehicles, interpreting our facial expressions as we perform complex tasks, translating our voices into different languages and building other machines for us in factories around the world. But they won't look like us or pretend to be human.In the new film Ex Machina, a computer scientist is asked to assess whether a beautiful human-looking robot called Ava has human intelligence. I won't spoil the film for you, but it occurred to me that one of the reasons we believe other human beings are conscious and have intelligence is that we're told they are all .the time. Indeed, if you stopped believing other people have minds, you would quickly find yourself unable to function in the world.Google's Eric Schmidt argues that we shouldn't worry about AI, and that we need instead toredesign our education systems so that we learn how to get on with the machines. As powerful computer-based intelligences continue developing, we must let go of the belief that only humans have intelligence and consciousness. Just as we have accepted the reality that the self-awareness that makes minds possible exists within the animal world, we may soon accept that it can also exist within the machine world.28. According to Professor Stephen Hawking, human beings .A. may be endangered by strong AIB. are still more intelligent than machinesC. will benefit greatly from the advances in AID. will never be able to build a strong AI system29. According to Paragraph 2, VITAL can .A. attend board meetings to voteB. make final decisions for the bankC. attract more investments to the bankD. assess the value of different businesses30. The author predicts that AI machines will soon be able to .A. control people's facial expressionsB. construct other intelligent machinesC. have a human-like physical appearanceD. change people's speeches into different languages31. Which of the following would the author most probably agree with?A. It is too late to stop the danger of artificial intelligence. . .B. Humans should learn to live with intelligent machines.C. Intelligent machines will eventually control the world.D. Only humans can have intelligence and consciousness.DMature-age university students are annoying, I know. I understand that when you're 18 or 19, and already know everything, there's no need to do the readings or show up prepared for class. I also understand that there are these old people in class who should be doing other things——maybe retiring, or gardening in the backyard. They are eagerly asking questions (or worse, answering them) and generally loud.I understand because I used to be one of them. I dropped out of high school in Year 11 and after playing guitar in a band for a few years, I spent the next ten years working different jobs. Then a friend, who thought I was wasting my life, suggested I enrol at his university. Although afraid, I eventually took a university preparation course and a year later became a 35-year-old university freshman.Like many mature-age students, after completing my degree, I continued studying and eventually attained my PhD.Now I'm a lecturer at Toronto University in Canada. In fact, I have just finished preparing a group of mature-age students to annoy next year's young first years. My students come from many different backgrounds. But they all share an enthusiasm for knowledge and learning.I know they are ridiculous and show up to class with folders full of readings, minds overflowing with ideas and concepts they want to discuss. I was the same. But, contrary to the stereotype of theannoying mature-age students occupying the airtime in class, most don't want to control the discussion.They're likely to be waiting, counting away the seconds silently in the hope that someone will want to talk about all of these amazing ideas we're learning about. Only after waiting for younger voices to speak. ( but which often remain silent) do they begin talking.Speaking for myself, I love students who come prepared and ready to discuss stuff. So let's celebrate all of those “annoying” mature-age students.32. According to the article, a mature-age student is a person .A. who behaves like an adultB. studying for a higher degreeC. not yet qualified to enter universityD. who starts university at an older age33. In the first paragraph, the author .A. shows that he is opposed to mature-age studentsB. describes the problems mature-age students createC. makes fun of the attitude held by many young students .D. explains why many teachers dislike mature-age students .34. What does the underlined word "them" in Paragraph 2 refer to?A. Retired people.B. Early high school leavers.C. Mature-age university students.D. University students aged below 20.35. Why do mature-age students often wait before speaking in class?A. They are not very familiar with the topic being discussed.B. They want to give the younger 'students more chances to speak.C. They lack the ability to give their opinions.D. They are more interested in hearing others' opinions.第二节（共5小题，每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

2016年广州市普通高中毕业班综合测试（二）数学学科分析一、考查内容分布“二测”数学试卷考查的知识点涉及集合与常用逻辑用语，函数与导数，数列、推理与证明，算法、线性规划、平面向量与三角，概率与统计，立体几何，解析几何，复数，计数原理（理科）等必考知识板块，以及几何证明选讲、坐标系与参数方程、不等式选讲等选做内容．具体分值分布见表1、2．表1： 2016年广州市“二测”文科数学试卷考点分布表2： 2016年广州市“二测”理科数学试卷考点分布【说明】从表1、表2可以看出：①由于有些试题涵盖的知识点较多，一般以最主要的知识点统计．②本次测试考查的覆盖面广，每个模块的内容都有涉及，且基本与教学课时的比例相当．二、基本数据与分析表3：2016年广州市模拟考试与“模拟考试”“一测”“二测”数学基本数据表4：2013—2015年全国Ⅰ卷文科数学成绩统计表5：2013—2015年全国Ⅰ卷理科数学成绩统计【说明】从表3可以看出：①三次考试的难度基本介于0.5～0.6之间，与选拔性考试的难度要求相吻合．②“二测”数学的标准差25>，区分度0.55>（区分度为0.4以上为优秀试卷），符合选拔性考试命题的基本要求．③从考生数可以看出，广州报考理科考生数比文科考生数逐年增加，由2102年及以前的文科考生数多于理科考生数，到2013年理科考生数约比文科考生数多3000人，到2016年理科考生数比文科考生数多9000多人，考生报考更加趋于理性．④由于广州市数学成绩在全省位列前茅，根据表3、表4、表5的数据，广州“二测”数学卷的平均分与标准差等数据都与全国课标Ⅰ卷近几年的数据相当．表6： 2016年广州市“二测”各组文、理科数学平均分统计【说明】从表6可以看出，“二测”文理科成绩除了第六、七组的差异比较大以外，前五组文理科成绩大致相当，且各组别之间基本相差8分．表7： 2016年广州市“一测”数学前10名名单表8： 2016年广州市“二测”数学前10名名单表9： 2016年广州市“二测”文科数学各分数段人数统计2016年广州市“二测”文科数学成绩分数段人数统计表10： 2016年广州市“二测”理科数学各分数段人数统计2016年广州市“二测”理科数学成绩分数段人数统计【说明】从表9、表10可以看出，“一测”文科分数段分布主要集中在30~110分之间，占91.6%；理科分数段分布主要集中在40~130分之间，占90.9%．文理科数学成绩基本符合正态分布．三、试题分析（填空题与解答题中的主要别解、典型错误、复习建议由七区阅卷组组长提供，由于交分析报告的时间太紧，无法详细审阅，报告中难免有误，敬请谅解．）1．选择题一测：文科平均分：40.94难度：0.68；理科平均分：43.08难度：0.72二测：文科平均分：40.58 难度：0.68；理科平均分：39.57难度： 0.66表11：文理科选择题得分情况【说明】从表11可以看出：①文科选择题难度为0.68，整体属于中等偏易，其中容易题（难度系数为0.71-1.0）有8题，中等难度题（难度系数为0.40-0.70）有1题，难题（难度系数为0.00-0.39）有3题，基本与全国课标Ⅰ卷文科选择题难度一致（参看表4）．②理科选择题难度为0.66，其中容易题有5题，中等难度题有6题，难题有1题，这与全国课标Ⅰ卷理科选择题难度一致（参看表5）．2．填空题一测：文科平均分：7.39 难度：0.37； 理科平均分：9.30 难度：0.47 二测：文科平均分：6.78 难度：0.34 ； 理科平均分：9.45 难度：0.47表12：文理科填空题得分情况【说明】从表12可以看出，文科填空题难度为0.34，属于难题，其中没有容易题，中等难度题有2题，难题有2题；理科填空题难度为0.47，属于中等偏难，容易题有1题，中等难度题有1题，难题有2题，与全国课标Ⅰ卷文理科填空题难度基本一致（参看表4、表5）．（文科平均分：6.78 难度：0.34 ） 【典型错误】（1）第（13）题：不少学生因求导公式掌握不好导致斜率出错． （2）第（14）题：4=→b ，本应该是42=→b，求模长与模的平方混淆不清导致错误．（3）第（15）题：不会求k; 会求k 但不会求和，直接将通项公式的答案写上去1412-=n S n ；裂项出现错误，如裂成1211211412--+=-n n n （相邻两项恰好相反）或⎪⎭⎫ ⎝⎛+--=-12112121412n n n ，1211211412+--=-n n n (系数的配凑出现错误）． ．（4）第（16）题：大部分学生不会做或乱写答案． 【复习建议】（1）要强调概念的理解，注意训练学生在推理、运算过程中，利用概念及相关基础知识建立运算关系．（2）增强数形的转换能力，利用图形进行直观判断． （3）培养复查与验算（验证）的习惯．（理科平均分：9.45 难度：0.47） 【典型错误】（1）第（13）题：不少学生因求导公式掌握不好导致斜率出错，导函数应为223x y -='，但个别学生却求成223xy +=' ，导致结果为x y 5=的错误；表达形式的错误如写成4+-y x ，源于对方程概念的不理解.（2）第（14）题：4=→b ，本应该是42=→b，求模长与模的平方混淆不清导致错误．（3）第（15）题：不会做或写成13422=+y x ，后者估计是通过1=c 瞎猜的答案． （4）第（16）题：不会做或写出2这个答案. 【复习建议】（1）填空题、选择题应由单一知识点训练向多个知识点间相互联系的“小综合”训练转变，解题教学要渗透数学思想方法，如第（15）用数形结合来解会比较容易.（3）引导学生将不熟悉的问题转化为熟悉的问题求解. 3．解答题 一测:必做文科平均分：23.60 难度：0.39； 理科平均分：28.98 难度：0.48 选做文科平均分：4.52 难度：0.45； 理科平均分：6.41 难度：0.64 二测:必做文科平均分：19.14 难度：0.32； 理科平均分：26.24 难度：0.44 文（17）（本小题满分12分）在△ABC 中，,,a b c 分别为内角,,A B C 的对边， ()()2s i n 2s i n 2s i nb B ac A c aC =+++.(Ⅰ) 求B 的大小； (Ⅱ)若b =A =4π, 求△ABC 的面积. 【考查目标】本小题主要考查正弦定理、余弦定理与求三角形面积等基础知识，考查运算求解能力．【答卷分析】 平均分：（1）3.26 （2） 3.26 合计：6.52 难度：0.54 【主要别解】第二问方法多，除标准答案的方法外，还可以有以下两种方法：一是先用正弦定理求出a 边，再求出C sin ，然后C ab S sin 21=；二是先用正弦定理求出a 边，再用余弦定理或 ac c a b ++=222（第一问得到的结论）来解方程求出c 边，最后B ac S sin 21=.【典型错误】有个别同学把余弦定理记成B ac c a b sin 2222++=，有个别是粗心导致算得21cos =B . 【复习建议】加强熟记公式，计算过程中不要思维跳跃，一步步计算。

2016年广州市普通高中毕业班综合测试（二）数 学（文科）第Ⅰ卷一. 选择题：本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求 1．已知集合{}2,1,0=M ，{}Z x x x N ∈≤≤-=,11|，则（ ）A ．M N ⊆B ．N M ⊆C ．{}0,1M N =D ．M N N = 2．已知bi a i i +=+)1(),(R b a ∈，其中i 为虚数单位，则a b +的值为（ ） A ．1- B ．0 C ．1 D ．2 3．已知等比数列{}n a 的公比为12-，则135246a a a a a a ++++的值是（ ） A ．2- B ．12- C ．12D ．2 4．从数字1，2，3，4，5中任取2个，组成一个没有重复数字的两位数，则这个两位数大于30的概率是（ ）A ．15B ．25C ．35D ．455．执行如图的程序框图，若程序运行中输出的一组数是(),12x -，则x 的值为（ A ．27 B ．81 C ．243 D ．729 6．不等式组⎪⎩⎪⎨⎧-≥--≥+≤-2220y x y x y x 的解集记为D ，若(),a b D ∈，则23z a b =-的最大值是（ ）A ．1B ．4C ．1-D ．4- 7．已知函数()sin 24f x x π⎛⎫=+⎪⎝⎭，则下列结论中正确的是（ ） A ．函数()f x 的最小正周期为2πB ．函数()f x 的图象关于点,04π⎛⎫⎪⎝⎭对称 C ．由函数()f x 的图象向右平移8π个单位长度可以得到函数sin 2y x =的图象D ．函数()f x 在区间5,88ππ⎛⎫⎪⎝⎭上单调递增8．已知1F , 2F 分别是椭圆C ()2222:10x y a b a b +=>>的左, 右焦点, 点A ⎛ ⎝⎭在椭圆C 上， 124AF AF +=，则椭圆C 的离心率是（ ） A ．12 B ．4 C ．23 D ．29．已知球O 的半径为R ，,,A B C 三点在球O 的球面上，球心O 到平面ABC 的距离为12R ，2AB AC ==，120BAC ︒∠=，则球O 的表面积为（ ）A ．169πB ．163πC ．649π D ．64π10．已知命题:p x ∀∈*N ，1123x x⎛⎫⎛⎫≥ ⎪ ⎪⎝⎭⎝⎭，命题:q x ∃∈R ，2x 题的是（ ）A ．p q ∧B ．()p q ⌝∧C ．()p q ∧⌝D ．()()p q ⌝∧⌝11．如图，网格纸上的小正方形的边长为1, 则该几何体的体积是（ ）A ．86+πB ．46+πC ．412+πD 12．设函数()f x 的定义域为R ，()()()(,2f x f x f x f -==-函数()()()cos g x x f x π=-在区间13,22⎡⎤-⎢⎥⎣⎦A ．4 B ．3 C ．2 D ．1第Ⅱ卷二. 填空题：本大题共4小题，每小题5分13．曲线()223f x x x =-在点()()1,1f 处的切线方程为14．已知平面向量a 与b 的夹角为3π，(1=a ，2-=a b b = 15．设数列{}n a 的前n 项和为n S , 若212a =, 21(n S kn n =-∈N *), 则数列1⎧⎫⎨⎬⎩⎭n S 的前n 项和为 _16．已知点O 为坐标原点，点M 在双曲线22:C x y λ-=（λ为正常数）上，过点M 作双曲线C 的某一条渐近线的垂线，垂足为N ，则2+ON MN 的最小值为三. 解答题：解答应写出文字说明，证明过程或演算步骤 17．（本小题满分12分）在ABC ∆中，,,a b c 分别为内角,,A B C 的对边，()()2sin 2sin 2sin b B a c A c a C =+++(Ⅰ) 求B 的大小；(Ⅱ) 若b =A =4π，求ABC ∆的面积OMDB A 某种商品价格与该商品日需求量之间的几组对照数据如下表：(Ⅰ)求y 关于x 的线性回归方程；(Ⅱ)利用(Ⅰ)中的回归方程，当价格40x =元/kg 时，日需求量y 的预测值为多少？ 参考公式：线性回归方程 y bx a =+，其中()()()121niii nii x x y y b x x ==--=-∑∑，a y bx =-19．（本小题满分12分）如图，在多面体ABCDM 中，BCD ∆是等边三角形，CMD ∆是等腰直角三角形，90CMD ︒∠=， 平面CMD ⊥平面BCD ，AB ⊥平面BCD ，点O 为CD 的中点，连接OM (Ⅰ) 求证：//OM 平面ABD ；(Ⅱ) 若2AB BC ==，求三棱锥A BDM -的体积已知动圆P 的圆心为点P ,圆P 过点()1,0F 且与直线:l 1x =-相切(Ⅰ)求点P 的轨迹C 的方程；(Ⅱ)若圆P 与圆()22:11F x y -+=相交于,M N 两点，求MN 的取值范围21．（本小题满分12分） 已知函数())(1R x ax ex f x ∈-=(Ⅰ)当2a =-时,求函数()f x 的单调区间；(Ⅱ)若0a >且0x >时,()ln f x x ≤,求a 的取值范围B请考生在第22、23、24三题中任选一题做答，如果多做，则按所做的第一题计分，做答时请写清题号 22．（本小题满分10分）选修4-1：几何证明选讲如图,四边形ABCD 是圆O 的内接四边形,AB 是圆O 的直径，BC CD =，AD 的延长线与BC 的延长线交于点E ,过C 作CF AE ⊥，垂足为点F(Ⅰ)证明: CF 是圆O 的切线；(Ⅱ)若4BC =，9AE =，求CF 的长23．（本小题满分10分）选修4-4：坐标系与参数方程在直角坐标系xOy 中，曲线C 的参数方程为θθθ(sin cos 3⎩⎨⎧==y x 为参数).以点O 为极点，x 轴正半轴为极轴建立极坐标系，直线l 的极坐标方程为2)4sin(=+πθρ(Ⅰ)将曲线C 和直线l 化为直角坐标方程；(Ⅱ)设点Q 是曲线C 上的一个动点，求它到直线l 的距离的最大值24．（本小题满分10分）选修4-5：不等式选讲已知函数()2()log 12f x x x a =++--(Ⅰ)当7a =时，求函数()x f 的定义域；(Ⅱ)若关于x 的不等式()3≥x f 的解集是R ，求实数a 的最大值2016年广州市普通高中毕业班综合测试（二）文科数学试题答案及评分参考一. 选择题（1）C （2）B （3）A （4）C （5）B （6）A （7）C （8）D （9）D （10）A （11）A （12）B 二. 填空题(13) 20x y --= (14) 2 (15) 21+nn(16) 三. 解答题（17）(Ⅰ)解: ∵()()2sin 2sin 2sin b B a c A c a C =+++,由正弦定理得，()()2222b a c a c a c =+++， ……………………………………1分化简得，2220a c b ac +-+=. ……………………………………………………2分∴2221cos 222a cb ac B ac ac +--===-. …………………………………………………4分 ∵0B <<π，∴B =23π. ……………………………………………………5分(Ⅱ)解：∵A =4π, ∴C 24334ππππ=π--=-. …………………………………6分 ∴sin sin C =34ππ⎛⎫- ⎪⎝⎭sin cos cos sin 3434ππππ=-=. …………8分由正弦定理得，sin sin c bC B=， ……………………………………………………9分∵b =B =23π，∴sin sin b C c B ==. ………………………………………………………10分 ∴△ABC的面积11sin sin 22S bc A ==4π=………12分 (18)(Ⅰ)解:由所给数据计算得()11015202530205x =++++=, ………………………………………………1分 ()1111086585y =++++=, ……………………………………………………2分()()()522222211050510250i i x x=-=-+-+++=∑, ……………………………3分()()51iii x x y y =--=∑()()()10352005210380-⨯+-⨯+⨯+⨯-+⨯-=-.………………………………………4分()()()51521800.32250iii i i x x y y b x x==---===--∑∑. ………………………………………6分H O M D CB A 80.322014.4a y bx =-=+⨯=. ………………………………………8分 所求线性回归方程为 0.3214.4y x =-+. ………………………………………9分(Ⅱ)解:由(Ⅰ)知当40x =时, 0.324014.4 1.6y =-⨯+=.……………………………11分 故当价格40x =元/ kg 时，日需求量y 的预测值为1.6kg. …………………12分 (19)(Ⅰ)证明：∵ △CMD 是等腰直角三角形，90CMD ︒∠=，点O 为CD 的中点，∴ OM CD ⊥. ………………………………………1分 ∵ 平面CMD ⊥平面BCD ，平面CMD 平面BCD CD =，OM ⊂平面CMD ，∴ OM ⊥平面BCD .………………………………2分∵ AB ⊥平面BCD ,∴ OM ∥AB .………………………………………3分 ∵ AB ⊂平面ABD ,OM ⊄平面ABD ,∴ OM ∥平面ABD .………………………………4分(Ⅱ)解法1：由(Ⅰ)知OM ∥平面ABD ,∴ 点M 到平面ABD 的距离等于点O 到平面ABD 的距离. …………………5分 过O 作OH BD ⊥，垂足为点H ，∵ AB ⊥平面BCD ,OH ⊂平面BCD ,∴ OH AB ⊥. ………………………………………6分 ∵ AB ⊂平面ABD ,BD ⊂平面ABD ,AB BD B = ，∴ OH ⊥平面ABD . ………………………………………7分 ∵ 2AB BC ==，△BCD 是等边三角形， ∴ 2BD =，1OD =，sin 60OH OD ︒=⋅=.………………………………9分 ∴ A BDM M ABD V V --= ………………………………………10分1132AB BD OH =⨯⨯⋅⋅ ………………………………………11分112232=⨯⨯⨯=∴ 三棱锥A BDM -的体积为3. ………………………………………12分解法2: 由(Ⅰ)知OM ∥平面ABD ,∴ 点M 到平面ABD 的距离等于点O 到平面ABD 的距离. …………………5分∵ 2AB BC ==，△BCD 是等边三角形，∴ 2BD =，1OD =. ………………………………………6分连接OB , 则OB CD ⊥, sin 60OB BD ︒=⋅=……………………………7分 ∴ A BDM M ABD O ABD A BDO V V V V ----=== ………………………………………10分1132OD OB AB =⨯⨯⋅⋅ ………………………………………11分111232=⨯⨯=. ∴ 三棱锥A BDM -的体积为3. ………………………………………12分（20）(Ⅰ)解法1:依题意,点P 到点()1,0F 的距离等于点P 到直线l 的距离, ………1分∴点P 的轨迹是以点F 为焦点，直线:l 1x =-为准线的抛物线. …………2分 ∴曲线C 的方程为24y x =. ………………………………………3分 解法2:设点P 的坐标为(),x y ，依题意,得1PF x =+， ………………………1分∴1x =+. ………………………………………2分化简得24y x =.∴曲线C 的方程为24y x =. ………………………………………3分 (Ⅱ) (Ⅱ)解法1：设点P ()00,x y ，则圆P 的半径为01r x =+.………………………4分 ∴圆P 的方程为()()()2220001x x y y x -+-=+. ① ………………………5分∵圆()22:11F x y -+=, ②①-②得直线MN 的方程为()20000212210x x y y y x --+--=. …………6分∵点P ()00,x y 在曲线2:4C y x =上,∴2004y x =,且00x ≥.∴点F 到直线MN 的距离为d==.……………………………………7分∵圆()22:11F x y -+=的半径为1,∴MN ==.…………………8分==…………………9分∵00x ≥,∴()2011x +≥. ∴()20110441x <≤+. ………………………………………………………10分 ∴()203111441x ≤-<+. ………………………………………………………11分 2MN<.∴MN 的取值范围为). ……………………………………12分解法2：设点P ()00,x y ，点F 到直线MN 的距离为d ,则点P 到直线MN 的距离为PF d -. ……………………………………4分∵圆()22:11F x y -+=的半径为1,圆P的半径为PF ,∴MN ==……………………………5分∴()2221d PF PF d -=--,化简得12d PF=. (6)分∴MN ==……………………………………7分∵点P ()00,x y 在曲线2:4C y x =上,∴2004y x =,且00x ≥.∴()222001PFx y =-+ …………………………………………………8分2000214x x x =-++()201x =+1≥. …………9分∴211044PF<≤. ………………………………………………………10分 ∴2311144PF≤-<. ………………………………………………………11分2MN <.∴MN 的取值范围为). …………………………………………12分（21）(Ⅰ)解:∵当2a =-时,()f x =12xx e +, ∴()12x f x e '=-+. ………………………………………………1分 令()12x f x e '=-+0=,得1ln ln 22x ==-. ………………………2分当ln 2x <-时, ()0f x '<; 当ln 2x >-时, ()0f x '>. ………………3分∴函数()f x 的单调递减区间为(),ln 2-∞-,递增区间为()ln 2,-+∞.……4分 (Ⅱ)解法1:当1x ≥时,()ln f x x ≤等价于1ln x ax x e -≤,即ln x -10x ax e+≥.(*) 令()g x =ln x -1x ax e +()0a >,则()11x g x a x e'=++0>, ………5分∴函数()g x 在[)1,+∞上单调递增.∴()()11g x g a e≥=-+. ………………………………………………6分 要使(*)成立,则10a e -+≥, 得1a e≥.……………………………………………7分 下面证明若1a e≥时,对()0,1x ∈,()ln f x x ≤也成立. 当()0,1x ∈时,()ln f x x ≤等价于1ln x ax x e -≤-,即ln x +10x ax e-≤.而ln x +1x ax e -≤ln x +11x x e e-.(**) ………………………………………8分令()h x =ln x +11x x e e -,则()111x h x x e e '=--,再令()111x x x e e ϕ=--,则()22211xx x x e x x e x eϕ-'=-+=.由于()0,1x ∈,则21x <,1xe >,故()22x x x e x x eϕ-'=0<. ……………………9分∴ 函数()x ϕ在()0,1上单调递减.∴ ()()1121110x e e eϕϕ>=--=->,即()0h x '>. ………………………10分 ∴ 函数()h x 在()0,1上单调递增. ∴ ()()1110h x h e e<=-=. ……………………………………………11分由(**)式ln x +1x ax e -≤ln x +11x x e e-0<. 综上所述,所求a 的取值范围为1,e ⎡⎫+∞⎪⎢⎣⎭. ……………………………………12分解法2: ()ln f x x ≤等价于1ln x ax x e -≤,即1ln x ax x e≥-.(*)令()1ln ,1,1ln 1ln ,0 1.xx x x x e g x x e x x e ⎧-≥⎪⎪=-=⎨⎪+<<⎪⎩ …………………………………5分当1x ≥时,()1ln x g x x e =-,则()110x g x e x'=--<.∴函数()g x 在区间[)1,+∞上单调递减.∴()()11g x g e≤=. ………………………………………………6分当01x <<时,()1ln x g x x e =+,则()110x x xe x g x e x xe -'=-+=>. ∴函数()g x 在区间()0,1上单调递增.∴()()11g x g e <=. ………………………………………………7分下面证明,当1a e ≥时, (*)式成立:① 当1x ≥时,()1ax g x e≥≥, (*)式成立. ……………………………………8分② 当01x <<时,由于1ax x e≥,令()h x =ln x +11x x e e -,则()111x h x x e e '=--,再令()111x x x e e ϕ=--,则()22211xx x x e x x e x eϕ-'=-+=.由于()0,1x ∈,则21x <,1xe >,故()22x x x e x x eϕ-'=0<.……………………9分∴ 函数()x ϕ在()0,1上单调递减.∴ ()()1121110x e e eϕϕ>=--=->,即()0h x '>. ∴ 函数()h x 在()0,1上单调递增. ∴ ()()1110h x h e e<=-=. ………………………………………………10分 ∴ ln x +110x x e e -<. ………………………………………………11分 ∴ ln x +11x x ax e e<≤,即(*)式成立.综上所述, 所求a 的取值范围为1,e ⎡⎫+∞⎪⎢⎣⎭. …………………………………12分B （22）(Ⅰ)证明: 连接OC ，AC ，∵ BC CD =，∴ CAB CAD ∠=∠. ……………………………………………………1分 ∵ AB 是圆O 的直径， ∴ OC OA =. ∴ CAB ACO ∠=∠. …………………………2分∴ CAD ACO ∠=∠. ∴ AE ∥OC . ………………………………3分 ∵ CF AE ⊥，∴ CF OC ⊥. 4分∴ CF 是圆O 的切线. ……………………………………………………………5分(Ⅱ)解:∵ AB 是圆O 的直径，∴ 90ACB ︒∠=,即AC BE ⊥.∵ CAB CAD ∠=∠，∴ 点C 为BE 的中点.∴ 4BC CE CD ===. …………………………………6分 由割线定理:EC EB ED EA ⋅=⋅,且9AE =. …………………………………7分得329ED =. …………………………………8分 在△CDE 中，CD CE =，CF DE ⊥，则F 为DE 的中点.∴ 169DF =. …………………………………9分在Rt △CFD中，9CF ===.……………10分 ∴CF （23）(Ⅰ)解：由,sin ,x y θθ⎧=⎪⎨=⎪⎩得2213x y +=， ∴曲线C 的直角坐标方程为2213x y +=. …………………………………2分 由sin(ρθ+)4π=sin cos cos sin 44ππρθθ⎛⎫+= ⎪⎝⎭3分 化简得，sin cos 2ρθρθ+=， …………………………………4分 ∴2x y +=.∴直线l 的直角坐标方程为2x y +=. …………………………………5分 (Ⅱ)解法1：由于点Q是曲线C 上的点，则可设点Q 的坐标为),sin θθ， …6分 点Q 到直线l的距离为d =…………………………7分=.…………………………………8分 当cos 16πθ⎛⎫-=-⎪⎝⎭时，max d ==…………………………………9分 ∴点Q 到直线l 的距离的最大值为…………………………………10分解法2：设与直线l 平行的直线l '的方程为x y m +=，由22,1,3x y m x y +=⎧⎪⎨+=⎪⎩消去y 得2246330x mx m -+-=， ………………………6分 令()()22644330m m ∆=-⨯⨯-=， …………………………………7分 解得2m =±. …………………………………8分 ∴直线l '的方程为2x y +=-，即20x y ++=.∴两条平行直线l 与l '之间的距离为d ==.………………………9分∴点Q 到直线l的距离的最大值为…………………………………10分（24）(Ⅰ)解：由题设知：， …………………………………1分 ① 当2x >时，得127x x ++->，解得4x >. ………………………………2分 ② 当12x ≤≤时,得127x x ++->,无解. …………………………………3分③ 当1x <时,得127x x ---+>, 解得3x <-. ……………………………4分 ∴函数的定义域为()(),34,-∞-+∞ . …………………………………5分 (Ⅱ)解：不等式3)(≥x f ，即821+≥-++a x x ， …………………………………6分∵x ∈R 时，恒有()()12123x x x x ++-≥+--=，…………………………8分 又不等式821+≥-++a x x 的解集是R ，∴83a +≤，即5a ≤-. ……………………………………………………………9分 ∴a 的最大值为5-. …………………………………………………………10分 721>-++x x )(x f。

试卷类型A 2016年广州市普通高中毕业班综合测试（二）英语2016.4 注意事项：1. 本试卷分第I卷（选择题）和第II卷（非选择题）两部分。

答卷前，考生务必将自己的姓名、考生号、考场号和座位号填写在答题卡上。

因测试不考听力，第I卷从第二部分的“阅读理解”开始，试题序号从“21”开始。

2. 回答第I 卷时，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，再选涂其他答案标号。

写在本试卷上无效。

3. 回答第II卷时，将答案写在答题卡上。

写在本试卷上无效。

4. 考试结束后，将本试卷和答题卡一并交回。

第I卷第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项中，选出最佳选项，并在答题卡上将该选项涂黑。

AThe best of adventure and sport in NSWIf you want adventure, then the state of New South Wales (NSW) in Australia is the place to go. No matter what the season, you can choose from a wide variety of landscapes, climates, activities and experiences all with easy access to tour operators and local guides.For snow lovers, there’s no better place than the Snowy Mountains. Skiers and snowboarders can hit slopes for some downhill thrills in Kosciuszko National Park. Non-skiing adventure seekers will enjoy hiking or snowshoeing.If water sports are more your thing, there are plenty of places to go. Surfers grab your surfboards and head to Byron Bay, Shellharbour, or Newcastle’s Merewether Beach. To see spectacular sea life up close, visit Lord Howe Island, a world-famous destination for underwater diving.The oceans, lakes and rivers around NSW offer a lifetime’s worth of exciting fishing and boating challenges. Want more? Experience the rush of whitewater rafting in Jindabyne and Penrith, or go barefoot waterskiing in Port Stephens.For adventure in NSW, the sky’s the limit! Book a hot-air-balloon or helicopter rideover the stunning vineyards of the Hunter Valley, go skydiving in Wollongong, or try hang-gliding in Stanwell Park.Get to know the State’s unique and tough landscapes on a caving, canoeing or rock climbing adventure. Four-wheel-driving and off-roading tours are popular in both Country NSW and Outback NSW. Or explore parts of the State on horseback-you’ll find great horse riding options in Sydney and throughout NSW.21. What is the purpose of this article?A. To advertise a new holiday tour.B. To describe the geography if NSW.C. To promote NSW’s tourist attractions.D. To encourage people to move to NSW.22. Where can you go barefoot waterskiing?A. Port Stephens.B. The Hunter ValleyC. Stanwell ParkD. Wollongong.23. Who are the intended readers?A. Families.B. Local guides.C. Photographers.D. Adventure travellers.BThe United States of America was founded in 1776 after the 13 independent American states rose up against the ruling British, defeated them in the American Revolutionary War, and signed the Declaration of Independence, the document which declare the creation of the new country.The men who led the revolution, drafted the Declaration of Independence, and wrote the first American laws are known as “founding fathers”. Benjamin Franklin, whose picture is on the US 100-dollar note, was appointed to prepare the Declaration that was eventually signed by the other founding fathers.Franklin was born in 1706 in Boston to a soap maker named Josiah Franklin. His father could not afford full schooling for all his children, but Benjamin loved books and worked in his elder brother’s printing business before starting a newspaper called the Pennsylvania Gazette in 1729. He wrote and drew cartoons for the newspaper. In addition, he worked ti improve living conditions in the city: introducing street lights, cleaning the roads and building libraries. In the 1740s, Franklin retired from his newspaper and turned to science with great success. He was a very smart man and work on electricity, including the “kite experiment”which confirmed the nature of lightning, made him famous throughout the world.Franklin earned the title of the “First American”for his efforts to unite the 13American stats, and to win their independence. This part of the story starts in London. He was sent to the city to persuade the British to treat the American states more fairly. It was here that he began interacting with important political thinkers and activists of the time and developing his own political ideas.Following his return to America in 1761 he became much more active in American politics and in the battle against British rule.After the United States of America was established, Franklin held several important positions such as the first United States Postmaster General, Ambassador to France and President of Pennsylvania. He is also famous today for his wise sayings, including “a penny saved is a penny earned” and “an ounce of prevention is worth a pound of cure”.24. What is the article mainly about?A. The American Declaration of Independence.B. Franklin’s contributions ti American society.C. The American War of Independence.D. Benjamin Franklin’s early life.25. How did Franklin begin developing his own political thinking?A. By discussing ideas with political activists in Britain.B. By persuading the 13 American states to unite.C. By fighting against British rule in America.C. By writing articles for his own newspaper.26. What can be inferred about Franklin from the article?A. His most important contribution was in science.B. He was the leader of the “founding fathers”.C. He was successful in many different areas.D. He came from a very wealthy family.27. What is the correct order for the following events from Franklin’s lifer?a. He started a newspaper business.b. He carried out the kite experience on electricity.c. He worked for his brother in a printing company.d. He was appointed the Ambassador to France.e. He helped write the Declaration of Independence.f. He visited England to discuss independence.A. e, c, a, b, f, dB. c, a, b, f, e, dC. a, c, f, b, d, eD. f, d, a, b, c, e.CWhether or not you believe Professor Stephen Hawking’s alarming theory that building a “strong” artificial intelligence (AI) could lead to the end of the human race, it’s clear that AI is reaching the point where soon it will affect almost every aspect of how we work with computers. We must get used to computers that talk back.Last year, investment bank Deep Ventures attracted much media attention when it announced that it had appointed an AI computer to its board of directors to help make important business decisions. What actually happened was that the company used a program called VITAL to analyse potential investments in different businesses. But VITAL doesn’t attend board meetings or vote-it’s just a program. While it’s not quite the evil robot we see in science fiction movies, it shows us how far computers and AI have advanced.Soon AI systems will be driving our vehicles, interpreting our facial expressions as we perform complex tasks, translating our voices into different languages and building other machines for us in factories around the world. But they won’t look like us or pretend to be human.In the new film Ex Machina, a computer scientist is asked to assess whether a beautiful human-looking robot called Ava has human intelligence. I won’t spoil the film for you, but it occurred to me that one of the reasons we believe other human beings are conscious and have intelligence is that we’re told they are all the time. Indeed, if you stepped believing other people have minds, you would quickly find yourself unable to function in the world.Google’s Eric Schmidt argues that we shouldn’t worry about AI, and that we need instead to redesign our education systems so that we learn how to get on with the machines. As powerful computer-based intelligences continue developing, we must let go of the belief that only humans have intelligence and consciousness. Just as we have accepted the reality that it can also exist within the machine world.28. According to Professor Stephen Hawking, human beings __________.A. may be endangered by strong AIB. are still more intelligent than machinesC. will benefit greatly from the advances in AID. will never be able to build a strong AI system29. According to Paragraph 2, VITAL can __________.A. attend board meetings to voteB. make final decisions for the bankC. attract more investments to the bankD. assess the value of different businesses30. The author predicts that AI machines will soon be able to __________.A. control people’s facial expressionsB. construct other intelligent machinesC. have a human-like physical appearanceD. change people’s speeches into different languages31. Which of the following would the author most probably agree with?A. It is too late to stop the danger of artificial intelligence.B. Humans should learn to live with intelligent machines.C. Intelligent machines will eventually control the world.D. Only humans can have intelligence and consciousness.DMature-age university students are annoying, I know. I understand that when you’re 18 or 19, and already know everything, there’s no need to do the readings or show up prepared for class. I also understand that there are these old people in class who should be doing other things-maybe retiring, or gardening in he backyard. They are eagerly asking questions (or worse, answering them) and generally loud.I understand because I used to be one of them. I dropped out of high school in Year 11 and after playing guitar in a band for a few years, I spent the next ten years working different jobs. Then a friend, who thought I was wasting my life, suggested I enroll at his university. Although afraid, I eventually took a university preparation course and a year later became a 35-year-old university freshman.Like many mature-age students, after completing my degree, I continued studying and eventually attained my PhD.Now I’m a lecturer at Toronto University in Canada. In fact, I have just finished preparing a group of mature-age students to annoy next year’s young first years. My students come from many different backgrounds. But they all share an enthusiasm for knowledge and learning.I know they are ridiculous and show up to class with folders full of readings, minds overflowing with ideas and concepts they want to discuss. I was the same. But, contrary to the stereotype of the annoying mature-age students occupying the airtime in class, most don’t want to control the discussion.They’re likely to be waiting, counting away the seconds silently in the hope that someone will want to talk about all of these amazing ideas we’re learning about. Only after waiting for younger voices to speak (but which often remain silent).Speaking for myself, I love students who come prepared and ready to discuss stuff. So let’s celebrate all of those “annoying” mature-age students.32. According to the article, a mature-age student is a person __________.A. who behaves like an adultB. studying for a higher degreeC. not yet qualified to enter universityD. who starts university at an older age33. In the first paragraph, the author __________.A. shows that he is opposed to mature-age studentsB. describes the problems mature-age students createC. makes fun of the attitude held by many young studentsD. explains why many teachers dislike mature-age students34. What does the underlined word “them” in Paragraph 2 refer to?A. Retired people.B. Early high school leavers.C. Mature-age university students.D. University students aged below 20.35. Why do mature-age students often wait before speaking in class?A. They are not very familiar with the topic being discussed.B. They want to give the younger students more chances to speak.C. They lack the ability to give their opinions.D. They are more interested in hearing others’ opinions.第二节（共5小题：每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

2016年广州市普通高中毕业班综合测试（二）第Ⅰ卷阅读题甲必考题一、现代文阅读（9分，每小题3分）阅读下面的文字，完成1～3题。

《人民文学》杂志把我的两篇文章放在“非虚构”栏目，无意间使其获得了一种命名和意义。

但是，它首先要面对的就是非虚构在文学中的合法性问题，也即“真实”在文学中的合法性问题。

就文学而言，“真实”是一个很奇怪的词语。

在通行的文学标准中，“真实”只是最低级的文学形式。

韦勒克在《文学理论》中谈到现实主义时认为，“现实主义的理论从根本上讲是一种坏的美学，因为一切艺术都是‘创作’，都是一个本身由幻觉和象征形式构成的世界”。

“真实”从来都不是艺术的标准。

但是，必须注意到，韦勒克所反对的“现实”和“真实”是就其最基本意义而言的，是指物理意义的现实和真实。

“那儿有一朵玫瑰花”，这是物理真实，但这还不是文学。

文学要求比物理真实更多的真实，“那儿是哪儿？庭院、原野、书桌？谁种的，或谁送的？那玫瑰花的颜色、形态、味道是什么样子？”这才进入文学的层面，因为关于这些会是千差万别的叙述。

即使是非虚构写作，也只能说：我在尽最大努力接近“真实”。

在“真实”的基础上，寻找一种叙事模式，并最终结构出关于事物本身的不同意义和空间，这是非虚构文学的核心。

非虚构文本并不排斥叙事性，相反，这也是它的必由之路。

上世纪50年代至70年代的美国出现了大量的非虚构作品，“一种依靠故事的技巧和小说家的直觉洞察力去记录当代事件的非虚构文学作品的形式”。

非虚构文学融合了新闻报道的现实性与细致观察及小说的技巧与道德眼光——倾向于纪实的形式，倾向于个人的坦白，倾向于调查和暴露公共问题，并且能够把现实材料转化为有意义的艺术结构，着力探索现实的社会问题和道德困境。

一个最基本的逻辑是，只有在你声称自己是进行非虚构写作时，你才面临着“是否真实”的质疑。

假借“真实”之名，你赢得了读者的基本信任，并因此拥有了阐释权和话语权。

它使你和你的作品获得了某种道德优势，更具介入性、影响力和批判性。

试卷类型：A2016年广州市普通高中毕业班综合测试（二）理科综合2016. 4注意事项：1．本试卷分第I卷（选择题）和第n卷（非选择题）两部分。

答卷前，考生务必将自己的姓名和考生号、试室号、座位号填写在答题卡上，并用铅笔在答题卡上的相应位置填涂考生号。

2．回答第I卷时，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。

写在本试卷上无效。

3．回答第II卷时，将答案写在答题卡上。

写在本试卷上无效。

4．考试结束后，将本试卷和答题卡一并交回。

可能用到的相对原子质量：H 1 C 12 0 16 Mg 24 Cl 35. 5 K 39 V51 Ni 59第I卷一、选择题：本题包括13小题，每小题6分，共78分。

在每小题给出的四个选项中，只有—个选项符合题目要求。

1．下列物质进人细胞需要载体蛋白的是A．酒精进入胃粘膜细胞B．CO2进入叶肉细胞C．钾离子进入丽藻细胞D．母乳中的抗体进入婴儿小肠上皮细胞2．下列关于人体细胞衰老的叙述，正确的是A．细胞衰老只发生在老年期B．衰老细胞的形态、结构和功能发生改变C．衰老细胞的新陈代谢速率加快D．“自由基学说”认为DNA随着细胞分裂会周期性变短3．下列关于人体内环境稳态的叙述中，f寧的是A．血架渗透压与蛋.白质、无机盐含…雀关B．甲状腺激素和尿素均可存在于内环境中C．某些激素可以影响神经系统的发育和功能D．内环境是细胞代谢的主要场所4．下列关于生物进化的叙述，的是A．捕食者的存在有利于增加物种多样性B．外来物种入侵可改变生物进化的方向和速度C．自然选择会导致种群基因频率定向改变D．共同进化就是不同物种之间在相互影响中不断进化和发展的过程5．某种植物的株高由三对独立遗传的基因控制，每个显性基因对植物株高的增加效应相同且能叠加。

巳知隐性纯合子和显性纯合子的株高分别为10cm和82cm。

现将三对基因均杂合的两植株杂交，F,中株髙为70cm的个体所占比例为A. 1/32B. 3/32C. 3/16D. 31/326．下列关于植物激素的叙述，的是A．植物激素直接参与细胞发挥调节作用B．—定浓度的赤霉素可促进植物种子萌发C．顶端优势的现象体现了生长素作用的两重性D．多种植物激素相互作用共同调节植物的生长29．(10分）采用一定的方法分离得到小球藻细胞中的叶绿体和线粒体后，进行了如下实验：将叶绿体和线粒体分别加入甲、乙两支试管中，甲中盛有适宜浓度的NaHCO3溶液，乙中盛有适宜浓度的丙酮酸溶液，当处于充足光照且其他条件适宜的环境中，两支试管内都会产生气泡。

2016届广州二模高考模拟试卷数 学〔文科〕注意事项：1．本试卷分第Ⅰ卷〔选择题〕和第Ⅱ卷〔非选择题〕两部分。

答题前，考生务必将自己的、准考证号、座位号、学校、班级等考生信息填写在答题卡上。

2．答复第Ⅰ卷时，选出每个小题答案后，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，写在本试卷上无效。

3．答复第Ⅱ卷时，将答案写在答题卡上，写在本试卷上无效。

4．考试结束后，将本试卷和答题卡一并交回。

第Ⅰ卷一、选择题：本大题共12小题，每题5分。

在每个小题给出的四个选项中，只有一项是符合题目要求的。

〔1〕复数321iz i i =+-〔i 为虚数单位〕的共轭复数为〔 〕 〔A 〕12i + 〔B 〕1i - 〔C 〕1i - 〔D 〕12i -〔2〕已知集合{}1,0=A ，{}A y A x y x z zB ∈∈+==,,，则B 的子集．．个数为〔 〕 〔A 〕3 〔B 〕4 〔C 〕7 〔D 〕8〔3〕已知2.12=a ，8.021-⎪⎭⎫ ⎝⎛=b ，2log 25=c ，则c b a ,,的大小关系为〔 〕〔A 〕a b c << 〔B 〕b a c << 〔C 〕 c a b << 〔D 〕a c b <<〔4〕已知向量()1,3a =，()3,b m =，假设向量b 在a 方向上的投影为3，则实数m ＝〔 〕〔A 〕3 〔B 〕3- 〔C 〔D 〕-〔5〕设n S 为等差数列{}n a 的前n 项和，且65101=-+a a a ，则11S =〔 〕〔A 〕55 〔B 〕66 〔C 〕110 〔D 〕132 〔6〕已知34cos sin =+θθ)40(πθ<<，则θθcos sin -的值为〔 〕〔A〕32〔B〕32-〔C〕31〔D〕31-〔7〕已知圆O：224x y+=上到直线:l x y a+=的距离等于1的点恰有3个，则实数a的值为〔〕〔A〕〔B〔C〕〔D〕-或〔8〕某程序框图如下图，该程序运行后输出的S的值是〔〕〔A〕1007 〔B〕2015〔C〕2016 〔D〕3024〔9〕已知双曲线122=-myx与抛物线xy82=的一个交点为P，F为抛物线的焦点，假设5=PF，则双曲线的渐近线方程为〔〕〔A〕03=±yx〔B〕03=±yx〔C〕02=±yx〔D〕02=±yx〔10〕记数列{}n a的前n项和为n S，假设2(1)4n nS an++=，则na=〔〕〔A〕2nn〔B〕12-⋅nn〔C〕nn2⋅〔D〕12nn-〔11〕某几何体的三视图如图，其正视图中的曲线部分为半个圆弧，则该几何体的外表积为〔〕〔A〕π42616++〔B〕π32616++〔C〕π42610++〔D〕π32610++〔12〕如图，偶函数()xf的图象如字母M，奇函数()xg的图象如字母N，假设方程()()0=xgf，()()0=xfg的实根个数分别为m、n，则m n+=〔〕〔A〕18 〔B〕16俯视图〔C〕14 〔D〕12第Ⅱ卷本卷包括必考题和选考题两部分。