2017年下期高二月考试卷
人教版2017高二(下学期)数学(理科)月考试卷附答案
人数约为总人数的 ，则此次数学考试成绩不低于 110 分的学生约有
人．
15．马老师从课本上抄录一个随机变量 ξ 的概率分布律如下表：
x
1
2
3
P（ξ=x） ？
！
？
请小牛同学计算 ξ 的数学期望．尽管“！”处完全无法看清，且两个“？”处字迹模
糊，但能断定这两个“？”处的数值相同．据此，小牛给出了正确答案 Eξ=
9．设随机变量 X 服从
，则 P（X=3）的值是（ ）
A． B． C． D． 10．已知变量 x 与 y 正相关，且由观测数据算得样本平均数 =3， =3.5，则由 该观测数据算得的线性回归方程可能是（ ） A． =0.4x+2.3 B． =2x﹣2.4 C． =﹣2x+9.5 D． =﹣0.3x+4.4 11．有一对夫妻有两个孩子，已知其中一个是男孩，则另一个是女孩的概率是 （）
一、选择题：（本大题共 12 个小题，每小题 5 分，共 60 分.）
1．
的展开式中 x6y2 项的系数是（ ）
A．56 B．﹣56 C．28 D．﹣28 2．已知某射击运动员，每次击中目标的概率都是 0.8，则该射击运动员射击 4 次至少击中 3 次的概率为（ ） A．0.85 B．0.819 2 C．0.8 D．0.75 3．某校为了提倡素质教育，丰富学生们的课外活动分别成立绘画，象棋和篮球 兴趣小组，现有甲，乙，丙、丁四名同学报名参加，每人仅参加一个兴趣小组， 每个兴趣小组至少有一人报名，则不同的报名方法有（ ） A．12 种 B．24 种 C．36 种 D．72 种
4．在二项式（x﹣ ）n 的展开式中恰好第 5 项的二项式系数最大，则展开式中
含 x2 项的系数是（ ） A．﹣56 B．﹣35 C．35 D．56 5．有 10 件不同的电子产品，其中有 2 件产品运行不稳定．技术人员对它们进行 一一测试，直到 2 件不稳定的产品全部找出后测试结束，则恰好 3 次就结束测试 的方法种数是（ ） A．16 B．24 C．32 D．48
2017年高二语文第二学期月考试卷(带答案)
2017年高二语文第二学期月考试卷（带答案）铜川市第一中学南校区2016-2017学年度第二学期月考高二语试卷命题人：陈红涛本试卷分第Ⅰ卷（阅读题）和第Ⅱ卷（语言题）两部分，共120分，考试用时120分钟。
第Ⅰ卷阅读题（60分）一、现代阅读（2分）（一）阅读下面的字，完成1—3题。
（每题3分，共9分）汉字的魅力优于拼音字说到汉字，不能不提及世界明史。
世界的古代明，可以说就是尼罗河流域的埃及圈，幼发拉底河、底格里斯河流域的美索不达米亚圈，印度河、恒河流域的印度圈，黄河、长江流域的中国圈等四大明。
这四大明之中，前三者互相交往而发展，成为近代明的流，只有中国几乎未与其它化产生关联而独自发展出汉字化圈。
国人对此是充满自豪感的，无论是对汉字的发展历史，还是对汉字所承载的中国独具的字明和化底蕴。
但是，由于汉字自身的特点所带的缺陷，如撰用字多、字型复杂、难记、难读，在过去几十年中，汉字的未与发展前景便广受汉字化圈中一些国家的关注和议论。
但肯定的一点是，要想准确把握汉字的功过是非，必须仔细回顾和耐心审视汉字所走过的历程。
写于1988年的《图说汉字的历史》引进出版，该书作者阿辻哲次以“事典”的形式，图并茂地对汉字发展史上的基本事项进行了简洁却明晰的梳理和叙述，从新石器时代开始到现代的汉字发展史，从前印刷时代的汉字书写工具材料史到汉字印刷的发展史……意在为学习汉字、使用汉字的人提供更多的相关知识，让那些对汉字有成见的人明白：现在就想把拥有四千余年悠久历史、担负着人类明发展一翼的汉字塞进博物馆里，还为时尚早。
汉字的表记法从古代到现代是连续发展的，从甲骨、青铜器字、篆体字，到隶、行、楷，没有化断层。
汉字不是拼音字，而是图形字，以物的图形为基础而形成字，例如“”、“川”、“日”、“月”等。
而与汉字、汉学有关的律令制度，如国家概念、产业、生活、化等，也都跨越广阔的版图，从中国中原，传播到东方的朝鲜、日本，南方的越南，用字连结了中国与周边世界的化。
人教版2017高二(下学期)数学(文)月考试题附答案
第Ⅰ卷一、选择题：本大题共12小题，每题5分，在每小题给出的四个选项中，只有一个是符合要求的。
1．在极坐标系中，与点3,6π⎛⎫⎪⎝⎭表示同一点的是（ ） A. 63,π⎛⎫- ⎪⎝⎭ B. 73,6π⎛⎫ ⎪⎝⎭ C. 6113,π⎛⎫- ⎪⎝⎭ D. 53,6π⎛⎫⎪⎝⎭2．如图是函数()y f x =的导函数()'f x 的图像，则下面判断正确的是()A. 在区间(－2,1)上()f x 是增函数B. 在(1,3)上()f x 是减函数C. 在(4,5)上()f x 是增函数D. 当4x =时，()f x 取极大值3．在曲线2y x =上切线的倾斜角为4π的点是（ ）A. ()0,0B. ()2,4C. 11,416⎛⎫⎪⎝⎭D. 11,24⎛⎫⎪⎝⎭4．参数方程11x y ⎧=⎪⎨=-⎪⎩t 为参数）表示什么曲线A ．一条直线B ．一个半圆C ．一条射线D ．一个圆5．某几何体的三视图如图所示，则该几何体的体积等于（ ）A. 483π+B. 163π C. 283π D. 12π6.下列命题中正确的是（）A. 平行于同一直线的两平面平行B. 垂直于同一直线的两平面平行C. 平行于同一平面的两直线平行D. 垂直于同一平面的两平面平行7.不等式3122x ->的解集是（）A. {}|2x x >B. 2|3x x ⎧⎫<-⎨⎬⎩⎭C. 2|23x x x ⎧⎫<->⎨⎬⎩⎭或D. 2|23x x ⎧⎫-<<⎨⎬⎩⎭8．函数()()21e x f x x =-的递增区间为（ ）A. (),-∞+∞B. 1,2⎛⎫+∞ ⎪⎝⎭C. 1,2⎛⎫-∞- ⎪⎝⎭ D. 1,2⎛⎫-+∞ ⎪⎝⎭9．关于直线,m n 与平面,αβ，有以下四个命题：（ ）①若//,//m n αβ，且//αβ，则//m n ；②若//,m n αβ⊥，且αβ⊥，则//m n ； ③若,//m n αβ⊥，且//αβ，则m n ⊥；④若,m n αβ⊥⊥，且αβ⊥，则m n ⊥；A. 1个B. 2个C. 3个D. 4个10．已知某几何体的三视图如图所示，则该几何体的表面积为（ ）A. 272 B. 27 C. D. 11. 若0a >，则使不等式43x x a -+-<在R 上的解集不是空集的a 的取值范围是（ ）A ．01a <<B ．1a =C ．1a >D ．以上均不对12．设函数()()lnx f x x ax =- (a R ∈)在区间()0,2上有两个极值点，则a 的取值范围是（）A. 1,02⎛⎫- ⎪⎝⎭B. ln210,4+⎛⎫ ⎪⎝⎭C. 1,12⎛⎫ ⎪⎝⎭D. ln211,42+⎛⎫ ⎪⎝⎭ 第Ⅱ卷二、填空题：本大题共4小题，每小题5分。
2017高二数学第二次月考卷及参考答案
2017高二数学第二次月考卷一、选择题(本大题共12小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的)1. “”是“直线”与直线互相垂直”的( )A. 充要条件B. 充分不必要条件C. 必要不充分条件D. 既不充分也不必要条件a和b都不是偶数”的否定形式是( )A.a和b至少有一个是偶数B.a和b至多有一个是偶数C.a是偶数，b不是偶数D.a和b都是偶数3. 执行如图所示的程序框图，若输出的结果为S=105，则判断框中应填入( )A.i<6?B.i<7?C.i<9?D.i<10?4. 如果在一次实验中，测得(x，y)的四组数值分别是A(1,3)，B(2,3.8)，C(3,5.2)，D(4,6)，则y与x之间的回归直线方程是( )A.=x+1.9B. =1.05x-0.9C.=0.95x+1.04D. =1.04x+1.9已知椭圆以及下3个函数：① ② ③，其中函数图象能等分该椭圆面积的函数个数有( )A. 1个B. 2个C. 3个D. 0个(m>1)上一点P到其左焦点的距离为3，到右焦点的距离为1，则椭圆的离心率为( )A. B. C. D.7. 已知定点P()不在直线上，则方程表示一条( )A. 过点P且垂直于的直线B. 不过点P但平于的直线C. 不过点P但垂直于的直线D.过点P且平行于的直线设P是椭圆上一点，P到两焦点的距离之差为2，则△是( )A. 锐角三角形B. 钝角三角形C. 直角三角形D. 等腰直角三角形10. 已知抛物线上的点P到抛物线的准线的距离为d1，到直线3x-4y+9=0的距离为d2，则的最小值是( )A. B. C.2 D.11. 已知双曲线 (a>0，b>0)的右焦点为F，若过点F且倾斜角为60°的直线与双曲线的右支有且只有一个交点，则此双曲线离心率的取值范围是( )A.(1,2)B.(1,2)C.[2，+∞)D.(2，+∞)12.已知双曲线的左、右焦点分别为，过作圆的切线分别交双曲线的左、右两支于点、，且，则双曲线的渐近线方程为 ( )A. B. C. D.二.填空题: (本大题共4小题，每小题5分，满分20分)13. 已知条件≤0;条件≤0，若是的充分不必要条件，则的取值范围是.P(8,1)平分双曲线x2-4y2=4的一条弦，则这条弦所在直线的方程是______________.15. 已知区域E={(x，y)|0≤x≤3，0≤y≤2}，F={(x，y)|0≤x≤3，0≤y≤2，x≥y}，若向区域E内随机投掷一点，则该点落入区域F内的概率为________.1.以下四个关于圆锥曲线的命题:①在直角坐标平面内,到点(-1,2)和到直线2x+3y-4=0距离相等的点的轨迹是抛物线;②设F1、F2为两个定点,k为非零常数,若||-||=k,则P点的轨迹为双曲线;③方程4x2-8x+3=0的两根可以分别作为椭圆和双曲线的离心率;④过单位圆上一定点A作圆的动弦AB,为坐标原点,若=(+),则动点P的轨迹为椭圆.其中真命题的序号为.(写出所有真命题的序号).(12分)已知关于x的二次函数f(x)=ax2-bx+1(a≠0)，设集合P={1,2, 3}，Q={-1,1,2,3,4}，分别从集合P和Q中随机取一个数a和b得到的数对(a，b).(1)列举出所有的数对(a，b)，并求函数y=f(x)有零点的概率;(2)求函数y=f(x)在区间[1，+∞上是增函数的概率. (12分) (1)C与椭圆有相同的焦点，直线y=x为C的一条渐近线.求双曲线C的方程.(2)直线y=kx-2交抛物线y2=8x于A、B两点，若线段AB中点的横坐标等于2，求弦AB的长.21. (12分) 已知抛物线的准线方程为。
2017年河南省新郑一中高二语文下学期第二次月考试卷
2017年河南省新郑一中高二语文下学期第二次月考试卷语文7.15本试卷，150分。
考试时长120分钟。
考生务必将答案答在答题卡上，在试卷上作答无效。
考试结束后，将本试卷和答题卡一并交回。
一、选择题共8小题，每小题5分，共40分。
在每小题列出的四个选项中，选出符合题目要求的一项。
1.下面词语中加括号的字的读音，全都不相同的一组是A. 疏（浚）（逡）巡（唆）使崇山（峻）岭怙恶不（悛）B.（侠）士脸（颊）海（峡）（狭）路相逢汗流（浃）背C.（供）给（烘）托（哄）骗山（洪）暴发垂（拱）而治D.（浪）涛（狼）藉酝（酿）书声琅（琅）豁然开（朗）2. 下列各句中加点成语使用正确的一项是A．这座破旧的庙宇如今装修一新，看起来古朴庄严，气宇轩昂。
B．关于李自成的传说，有不少地方是混和着穷苦百姓的感情和希望，真实的事情未必尽都被众人知道，而哄传的故事未必不含虚构的、添枝加叶的地方。
C．他这样做自以为很稳妥，其实是如履薄冰，稍不注意就会出现错误。
D．在婚礼上，本来巧舌如簧的他却紧张得一句话也说不出来了。
3.下列各句中没有语病的一项是( )A.本片主要演员有古月、卢奇、孙飞虎、刘锡田、谢伟才、孙雏民、傅学诚等演员担纲主演。
B.一批以跨国公司为投资主体、具有先进技术装备、高科技开发能力和现代管理技术水平的项目正落户昆山，初步形成了电子资讯、精密机械、精细化工、新型建材等几大主导产业。
C.起初他只是为犯罪分子提供窝点，而后来则亲自上阵，打着推销保温材料的名义拐骗妇女。
D.“小品”这种表演形式，每届春节晚会都忘不了让观众抹几把感动的泪水，甚至发展到让人欢喜让人忧，台上台下齐动情；亿万观众看多年看滥了，不免生矫情、煽情之疑。
4.有两个错别字的一组词语是（）A．安祥诛连无辜题纲挈领莫名其妙B．暗然失色仗义直言座落毛骨悚然C．美仑美奂遐想群英汇萃轻歌曼舞D．名副其实偃苗助长荜路蓝缕讴歌5.下列句子文字书写正确，加点的字注音无误的是（）A．某些以“承包”、“租赁”为幌（huǎng）子的所谓经济“改革”，其实是化公为私，挖社会主义的墙角。
2017高二月考语文试卷(含答案)
2017高二月考语文试卷（含答案）下载温馨提示:该文档是我店铺精心编制而成，希望大家下载以后，能够帮助大家解决实际的问题。
文档下载后可定制随意修改，请根据实际需要进行相应的调整和使用，谢谢!并且，本店铺为大家提供各种各样类型的实用资料，如教育随笔、日记赏析、句子摘抄、古诗大全、经典美文、话题作文、工作总结、词语解析、文案摘录、其他资料等等，如想了解不同资料格式和写法，敬请关注!Download tips: This document is carefully compiled by theeditor. I hope that after you download them,they can help yousolve practical problems. The document can be customized andmodified after downloading,please adjust and use it according toactual needs, thank you!In addition, our shop provides you with various types ofpractical materials,such as educational essays, diaryappreciation,sentence excerpts,ancient poems,classic articles,topic composition,work summary,word parsing,copy excerpts,other materials and so on,want to know different data formats andwriting methods,please pay attention!专业课原理概述部分一、选择题（每题1分，共5分）1. 下列哪位诗人是“初唐四杰”之一？A. 杜甫B. 王之涣C. 杨炯D. 白居易2. 《诗经》中的“风”主要是指什么？A. 风俗B. 歌曲C. 诗歌D. 气象3. 以下哪部作品是李白的？A. 《春晓》B. 《将进酒》C. 《登鹳雀楼》D. 《江雪》4. “两情若是久长时，又岂在朝朝暮暮”出自哪首诗？A. 《长恨歌》B. 《离骚》C. 《鹊桥仙》D. 《木兰辞》5. “建安七子”中不包括哪位？A. 曹植B. 阮籍C. 嵇康D. 蔡文姬二、判断题（每题1分，共5分）1. 《论语》是孔子所著。
人教版2017高二下学期月考英语试卷附答案
本试卷分第Ⅰ卷和第Ⅱ卷两部分，共120分，考试时间100分钟。
第Ⅰ卷（选择题）第一部分阅读理解(共两节，满分40分)第一节:（共15小题，每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
AMost dictionaries will tell you a number of things about a language. There are three important things. These three things are spelling, pronunciation and meaning.First, a dictionary will tell you the spelling of a word. If you are not sure about the spelling of a word, you can try to find the correct spelling in a dictionary. Words are listed in an alphabetical(字母表的) order--- a, b, c and so on. For example, on a dictionary page the “poor” comes before “poverty” and the word “poverty” comes before the “power”. The words are always given in alphabetical order. The second thing, a dictionary will tell you the pronunciation. Most dictionaries give phonetic (语音的), or sound alphabet. The phonetic alphabet(音标) shows pronunciation. The third thing, a dictionary will tell you the meaning of words. You can look up a word and find out what it means. Many words have more than one meaning, and a good dictionary will tell you all of the word‟s meanings. For example, in English the common word “get” has over 20 diffe rent meanings.21. Many words have_______.A .several meanings B. one meaningC. few meaningsD. no meaning22. A good dictionary will tell you_____A.more of word‟s pronunciationB. more of the word‟s meaningsC. more of grammarD. more of the word‟s spelling.23.. Phonetic alphabets are used to show ________A. handwritingsB. spellingC. meaningsD. pronunciation24.. How many important things will most dictionaries tell you?A. FourB. FiveC. ThreeD. TwoBEverybody has one of those days when everything goes wrong. This is what happened to Harry.He got up one morning very late because he had forgotten to wind up（设定）his alarm clock. He tried to shave quickly and cut himself .when he got blood all over his clean shirt, he had to find another one. The only other shirt that was clean needed ironing（熨烫），so he ironed it . While he was ironing it, there was a knock at the door. It was the man to read the electricity meter（电表）.He showed him where the meter was, said goodbye and found that the iron had burnt a hole in his shirt. So he had to wear the one with the blood on it after all. By this time it was very late, so he decided he couldn‟t go to work by bus. He telephoned for a taxi to take him to work. The taxi arrived and Harry got in and began to read the newspaper.In another part of the town, a man had killed a woman with a knife and was seen to run away in a taxi. When Harry‟s taxi stopped outside his office, a policeman happened to be standing there. He saw th e blood on Harry‟s shirt and took him to the police station. He was kept till 3 o‟clock in the afternoon before the policeman was sure that he was not the man they wanted. When he finally arrived at the office at about four, his boss took a look at him and told him to go away and find another job.25. Harry had_____A. a lucky dayB. an unlucky dayC. a busy dayD. a good day26. Why did Harry wear the shirt with blood on it?A.He had only one shirtB. The only other needed ironingC. The iron had burnt a hole on his clean shirt.D. He cut himself and got blood on his shirt.27. His boss told him to go away and find another job because_____.A.he had been kept by the policeB. there was blood on his shirtC. he was late for workD. he had killed a womanCIn today‟s world, almost everyone knows that air pollution and water pollution are harmful to people‟health. However, not all the persons know that noise is also a kind of pollution, and this is harmful to people‟health, too.People who work and live under noisy conditions usually become deaf today. However, scientists believe that 10 percent of workers in Britain are being deafened by the noise where they work. Many of the workers who print newspapers and books, and who weave（编织）cloth become deaf. Quite a few people living near airports also become deaf. Recently it was discovered that many teenagers in America could hear no better than 65-year-old persons, for these young people like to listen to pop music and pop music is a kind of noise, Besides, noise produced by jet planes or machines will make people ill or even drive them mad.It is said a continuous noise of over 85 decibels（分贝）can cause deafness. Now the governments in many countries have made laws to control noise and make it less than 85 decibels.In China, the government is trying to solve not only air and water pollution problems but also noise problems.28. The text is mainly about ______.A. air pollutionB. water pollutionC. noise pollutionD. world pollution29. According to the text, a continuous noise of _____decibels can make people deaf.A. less than 85B. less than 65C. about 65D. more than 8530. Ten percent of the workers in Britain are being deafened because ______.A. they are working in noisy placesB. they often listen to pop musicC. they are busy in listening to other‟s talkD. they live near airports31. The government of China is trying to solve ______.A. only air pollutionB. only air and water pollutionC. only water pollutionD. air, water and noise pollutionDThe Chinese word “Shanzhai” means a small mountain village, but now it becomes an accepted name for fakes (假货), after “Shanzhai Cell-phones” producedby small workshops in southern China became popular in the mainland market over the past two years.Besides “Shanzhai” electronic products, there are “Shanzhai” movies, “Shanzhai” stars and even a “Shanzhai” Spring Festival Gala (联欢晚会), a copy of the25-year-old tr aditional show presented by CCTV on Chinese Lunar New Year‟s Eve.“Shanzhai” has become a culture of its own, meaning anything that imitates(模仿) something famous.In Chongqing, “Shanzhai” version “Bird‟s Nest” and “Water Cube” woven by farmers with bamboo attract wide attention from tourists. Both are copies of the famous Olympic buildings in Beijing.A literature critic （批评家）said that taking the “Shanzhai” Gala as an example, when the traditional CCTV program becomes less and less attractive to the audience, the “Shanzhai” version appears timely to attract people. “Although it is often connected with poor techniques and operation, …Shanzhai‟ culture meets the psychological needs of common people and could be a comfort to their minds,” he said.To the mainstream (主流的) culture, the rise of “Shanzhai” culture is a challenge and a motivation (动力). People believe different kinds of cultures developing together is a perfect situation and it is for the public to choose.32. The Chinese word “Shanzhai” may have started with ______.A. fake cell-phoneB. electronic productsC. Spring Festival GalaD. Olympic buildings33. According to the passage, “Shanzhai” culture refers to ______.A. the action that a person imitatesfamous peopleB. products with poor techniques and qualityC. anything that imitates something famousD. those similar names to famous brands(品牌)34. We can infer that the mainstream culture ______.A. is held back by “Shanzhai” cultureB. is the challenge of “Shanzhai” cultureC. will be replaced by “Shanzhai” cultureD. may develop faster because of the challenge of “Shanzhai” culture35. Which of the following might be the best title of the passage?A. “Shanzhai” culture will surely disappearB. “Shanzhai” culture takes on life of its ownC. “Shanzhai” culture — the mainstream cultureD. “Shanzhai” culture — the mountain village cultureE第二节根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
2017年度高二文科月考试题
高二文科下学期月考试题编：华晔审：胡刚珍第二部分：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）阅读下列材料，从每题所给的四个选项（A、B、C、D）中，选出最佳选项，并在答题纸上将该选项标号涂黑。
A“Did you hear what happened to Adam Last Friday?”Lindsey whipers to Tori.With her eyes shining, Tori brags，“You bet I did,Sean told me two days ago.”Who are Lindsey and Tori talking about?It just happens to be yours truly,Adam Freedmam,I can tell you that what that what they are saying is not nice and not even tru e.Still,Lindsey and Tori aren’t very different from most students here at Linton Higt School,including me.Many of our conversations are gossip(闲话)。
I have noticed three effects of gossip:it can hurt people,it can give gossipers a strange kind of satisfaction,and it can cause social pressures in a group.An important negative effect of gossip is that it can hurt the person being talked ually,gossipspreadsinformation about atopic-breakups,trouble at home,even dropping outthat a person would rather keep secret.The more embarrassing or shameful the secret is,the juicier the gossip it makes.Probably the worst type of gossip is the absolute lie.People ofen think of gossipers as harmless,but cruel lies can cause pain.If we know that gossip can be harmful,then why do so many of us do it?The answer lies in another effect of gossip:the satisfaction it gives us.Sharing the latest rumor(传言)can make a person feel important because he or she knows something that others don’t.Similarly,hearing the latest rumor can make a person feel like part of the “in group.”In other words,gossip is satisfying because it gives people a sense of belonging or even superiority(优越感).Gossip also can have a third effect:it strengthens unwritten,unspoken rules about how people should act.Professor David Wilson explains that gossip is important in policing behaviors in a group.Translated into high school terms, this means that if everybody you hang around with is laughing at what John wore or what Jane said,then you can bet that wearing or saying something similar will get you the same kind of negative attention.The do’s and don’ts conveyed through gossip will never show up in any student handbook.The effects of gossip vary depending on the situation.The next time you feel the urge to spread the latest news,think about why you want to gossip and what effects your “juicy story”might have.21.The author uses a conversation at the beginning of the passage to ______.A.introduce a topicB.present an argumentC.describe the charactersD.clarify his writing purpose22.An important negative effects of gossip is that it_____.A.breaks up relationshipsB.embarrasses the listenerC.spreads information aroundD.causes unpleasant experiences23 .In the auther’s opinion,many people like to gossip bec ause it_____.A.gives them a feeling of pleasureB. helps them to make more friendsC.makes them better at telling storiesD.enables them to meet important people24.Professor David Wilson think that gossip can_____ .A.provide students with written rulesB.help people watch their own behaviorsC.force school to impove student handbooksD.attract the police’s attention to group behaviorsBA scientist working at her lab bench and a six-month-old baby playing with his food might seem to have little in common.After all,the scientist is engaged in serious research to uncover the very nature of the physical world,and the baby is,well, just playing…right?Perhaps,but some developmental psychologists(心理学家)have argued that this“play”is more like a scientific investigation than one might think. Take a closer look at the baby playing at the table.Each time the bowl of rice is pushed over the table edge,it falls to in the ground---and, in the process, it brings out important evidence about how physical objects interact（相互作用）; bowls of rice do not flood in mid- air, but require support to remain stable. It is likely that babies are not born knowing this basic fact of the universe; nor are they ever clearly taught it. Instead, babies may form an understanding of object support through repeated experiments and then build on this knowledge to learn even more about how objects interact. Though their ranges and tools differ, the baby’s investigation and the scientist’s experiment appear to share the same aim(to learn ab out the natural world ), overall approach (gathering direct evidence from the world), and logic (are my observations what I expected?).Some psychologists suggest that young children learn about more than just the physical world in this way---that they investigate human psychology and the rules of language using similar means. For example, it may only be through repeated experiments, evidence gathering, and finally overturning a theory, that a baby will come to accept the idea that other people can have different views and desires from what he or she has, for example, unlike the child , Mommy actually doesn’t like Dove chocolate.Viewing childhood development as a scientific investigation throws light on how children learn ,but it also offers an inspiring look at science and scientists. Why do young children and scientists seem to be so much alike? Psychologists have suggested that science as an effort ---the desire to explore, explain, and understand our world---is simply something that comes from our babyhood. Perhaps evolution （进化）provided human babies with curiosity and a natural drive to explain their worlds, and adult scientists simply make use of the same drive that served them as children. The same cognitive（认知的）systems that make young children feel good about feel good about figuring something out may have been adopted by adult scientists. As some psychologists put it, ”It is not that children are little scientists but that scientists are big children.”25. According to some developmental psychologists,_______.A. a baby’s play is nothing more than a game.B. scientific research into babies’ games is possibleC. the nature of babies’ play has been thoroughly investigatedD. a baby’s play is somehow similar to a scientist’s experiment26.We learn from Paragraph 2 that______.A. scientists and babies seem to observe the world differentlyB. scientists and babies often interact with each otherC. babies are born with the knowledge of object supportD. babies seem to collect evidence just as scientists do27. Children may learn the rules of language by______.A. exploring the physical worldB. investigating human psychologyC. repeating their own experimentsD. observing their parents’ behaviors28. What is the main idea of the last paragraph?A. The world may be more clearly explained through children’s play.B. Studying babies’ play may lead to a better understanding of science.C. Children may have greater ability to figure out things than scientists.D. One’s drive for scientific research may become stronger as he grows.CTwo things changed my life: my mother and a white plastic bike basket. I have thought long and hard about it and it’s true. I would be a different person if my mom hadn’t turned a silly bicycle accessory into a life lesson I carry with me today.My mother and father were united in their way of raising children, but it mostly fell to my mother to actually carry it out. Looking back, I honestly don’t know how she did it. Managing the family budget must have been a very hard task., but she made it look effortless. If we complained about not having what another kid did, we’d hear something like, “I don’t care what so –and –so got for his birthday, you are not getting a TV in your room/a car for your birthday/a lsvish sweet-16 par ty.” We had to earn our allowance(零用钱) by doing chores around the house. I can still remember how long it took to polish the legs of our coffee table. My brothers can no doubt remember hours spent cleaning the house .Like the two little girls growing up at the White House,we made our own beds (no one left the house unitil that was done)and picked up after ourselves.We had to keep track of our belongings ,and if something was lost ,it was not replaced.It was summer and ,one day ,my mother drove me to the bike shop to get a tire fixed---and there it was in the window, White, shiny, plastic and decorated with flowers ,the basket winked at me and I knew ----I knew---I had to have it.“It’s beautiful,” my mother said when I pointed it out to her,”What a ne at basket.”I tried to hold off at first ,I played it cool for a short while. But then I guess I couldn’t stand it any longer:“Mom, please can I please ,please get it? I ‘ll do extra chores for as long as you say, I’ll do anything ,but I need that basket,I love that basket.Please ,Mom .Please?”I was desperate.“You know,” she said ,gently rubbing my back while we both stared at what Ibelieves was the coolest thing ever,” If you save up you could buy this yourself.”“By the time I make enough it’ll b e gone!”“Maybe Roger here could hold it for you,” she smiled at Roger ,the bike guy.“He can’t hold it for that long ,Mom .Someone else will buy it .Please, Mom,Please?”“There might be another way,” she said.And so our paying plan unfolded. My mother bought the beautiful basket and put it safely in some hiding place I couldn’t find. Each week I eagerly counted my growing saving increased by extra work here and there (washing the car ,helping my mother make dinner, delivering or collecting things on my bike that already looked naked without the basket in front).And then ,weeks later ,I counted ,re-counted and jumped for joy. Oh ,happy day ! I made it! I finally had the exact amount we’d agreed upon….Days later the unthinkable happened. A neighborhood girl I’d p layed with millions of times appeared with the exact same basket fixed to her shiny ,new bike that already had all the bells and whistles. I rode hard and fast home to tell my mother about this disaster. This horrible turn of events.And then came the less on I’ve taken with me through my life:”Honey, Your basket is extra-special,” Mom said, gently wiping away my hot tears.”Your basket is special because you paid for it yourself.”29.What can we learn from the first two paragraphs?A. The children enjoyed doing housework.B.The author came from a well-off familyC. The mother raised her children in an unusual wayD.The children were fond of the US president’s daughters.30.When the author saw the basket in the window,she .A. fell in love with itB. stared at her motherC. recognized it at onceD.went up to the bike guy31.Why did the author say many “please” to her mother?A. She longed to do extra work.B. She was eager to have the basket.C.She felt tired after standing too long.D.She wanted to be polite to her mother.32.What is the life lesson the author learned from her mother?A. Save money for a rainy dayB. Good advice is beyond all price.C. Earn your bread with your sweatD. God helps those who help themselvesDChester City Library offers a range of Library Special Needs Services to people who don’t have access to our library service in the usual way. As long as you live in Chester City, we’ll provide a wide range of library services and resources including:●Large printed and ordinary printed books●Talking books on tape and CD●DVDs and music CDs●Magazines●Reference and information requestsHome delivery serviceLet us know what you like to read and we will choose the resources for you. Our staff will deliver the resources to your home for free. We also provide a service where we can choose the resources for you or someone instead of you choose the things from the library. You can also choose the resources you need personally. Talking books and captioned videosThe library can provide talking books for people who are unable to use printed books because of eye diseases. You don’t have to miss out on reading any more when you can borrow talking books from the library. If you have limited hearing which prevents you from enjoying movies, we can provide captioned videos for you at no charge.Languages besides EnglishWe can provide books in a range of languages besides English. If possible, we will request these items from the State Library of NSW, Australia.How to join?Contact the Library Special Needs Coordinator to register or discuss if you are eligible（合适的）for any of the services we provide ─Tuesday, Wednesday and Thursday 9am ─5pm on 4297 2522 for more information.33 .Library Special Needs Services are meant for_____.A. those who are fond of reading.B. people living in Chester City with an illness or disability.C. only those who have walking disabilities.D. those who can’t get m edical help in Chester City.34.What can we learn from the passage?A. Few entertaining resources are offered here.B. People with limited hearing have to pay for captioned videos.C. Books with different languages are available.D. People have to choose what they need by themselves.35.To get home delivery service, you must_______.A. only choose printed books.B. have others choose the resources for you.C. pay the library ahead of time.D. register ahead of time.第二节根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
人教版2017高二(下学期)(理)数学月考试卷附答案
一、选择题1．若y=，则y′=（）A．B．C．D．2．已知直线m，n均在平面α内，则“直线l⊥m且直线l⊥n”是“直线l⊥平面α”的（）A．充分不必要条件 B．必要不充分条件C．充要条件D．既不充分也不必要条件3．函数f（x）的定义域为开区间（a，b），导函数f′（x）在（a，b）内的图象如图所示，则函数f（x）在开区间（a，b）内有极小值（）A．2个 B．1个 C．3个 D．4个4．曲线y=e x在点（2，e2）处的切线与坐标轴所围三角形的面积为（）A．e2B．2e2C．e2D．e25．已知函数f（x）的图象如图所示，f′（x）是f（x）的导函数，则下列数值排序正确的是（）A．0＜f′（2）＜f′（3）＜f（3）﹣f（2）B．0＜f′（3）＜f（3）﹣f（2）＜f′（2）C．0＜f′（3）＜f′（2）＜f（3）﹣f（2）D．0＜f（3）﹣f（2）＜f′（2）＜f′（3）6．一个边长为6的正方形铁片，铁片的四角截去四个边长均为x的小正方形，然后做成一个无盖方盒．当无盖方盒的容积V最大时，x的值为（）A．3 B．2 C．1 D．7．阅读如图所示的程序框图，运行相应的程序，输出的S的值等于（）A．18 B．20 C．21 D．408．设P为曲线C：y=x2+2x+3上点，且曲线C在点P处切线倾斜角的取值范围为[0，]，则点P横坐标的取值范围为（）A． B．[﹣1，0]C．[0，1]D．9．设曲线y=x n+1（n∈N*）在点（1，1）处的切线与x轴的交点的横坐标为x n，令a n=lgx n，则a1+a2+…+a99的值为（）A．﹣1 B．﹣2 C．1 D．210．设f（x）、g（x）分别是定义在R上的奇函数和偶函数，当x＜0时，f′（x）g（x）+f（x）g′（x）＞0，且g（﹣3）=0，则不等式f（x）g（x）＜0的解集是（）A．（﹣3，0）∪（3，+∞） B．（﹣3，0）∪（0，3）C．（﹣∞，﹣3）∪（3，+∞）D．（﹣∞，﹣3）∪（0，3）11．给出定义：设f′（x）是函数y=f（x）的导函数，f″（x）是函数f′（x）的导函数，若方程f″（x）=0有实数解x0，则称点（x0，f（x0））为函数y=f（x）的“拐点”．已知函数f（x）=3x+4sinx﹣cosx的拐点是M（x0，f（x0）），则点M（）A．在直线y=﹣3x上B．在直线y=3x上C．在直线y=﹣4x上D．在直线y=4x上12．已知函数f（x）的导数为f′（x），且（x+1）f（x）+xf′（x）≥0对x∈[0，+∞）恒成立，则下列不等式一定成立的是（）A．f（1）＜2ef（2）B．ef（1）＜f（2）C．f（1）＜0 D．ef（e）＜2f（2）二、填空题13．已知函数，则f'（1）=．14．如图，一个四棱锥的底面为正方形，其三视图如图所示，则这个四棱锥的体积．15．若函数f（x）=﹣x2+x+1在区间（，3）上单调递减，则实数a的取值范围是．16．已知函数f（x）的定义域[﹣1，5]，部分对应值如表，f（x）的导函数y=f′（x）的图象如图所示下列关于函数f（x）的命题；①函数f（x）的值域为[1，2]；②函数f（x）在[0，2]上是减函数③如果当x∈[﹣1，t]时，f（x）的最大值是2，那么t的最大值为4；④当1＜a＜2时，函数y=f（x）﹣a最多有4个零点．其中正确命题的序号是．三、解答题17．已知数列{a n}满足S n+a n=2n+1．（1）写出a1，a2，a3，并推测a n的表达式；（2）用数学归纳法证明所得的结论．18．在△ABC中，内角A，B，C的对边分别为a，b，c，已知=．（1）求的值（2）若cosB=，b=2，求△ABC的面积S．19．若函数f（x）=ax3﹣bx+4，当x=2时，函数f（x）有极值为，（Ⅰ）求函数f（x）的解析式；（Ⅱ）若f（x）=k有3个解，求实数k的取值范围．20．如图1，在等腰直角三角形ABC中，∠A=90°，BC=6，D，E分别是AC，AB 上的点，，O为BC的中点．将△ADE沿DE折起，得到如图2所示的四棱椎A′﹣BCDE，其中A′O=．（1）证明：A′O⊥平面BCDE；（2）求二面角A′﹣CD﹣B的平面角的余弦值．21．椭圆的左、右焦点分别为F1，F2，M在椭圆上，△MF1F2的周长为，面积的最大值为2．（I）求椭圆C的方程；（II）直线y=kx（k＞0）与椭圆C交于A，B，连接AF2，BF2并延长交椭圆C于D，E，连接DE．探索AB与DE的斜率之比是否为定值并说明理由．22．已知函数f（x）=（2﹣a）lnx++2ax．（1）当a＜0时，讨论f（x）的单调性；（2）若对任意的a∈（﹣3，﹣2），x1，x2∈[1，3]恒有（m+ln3）a﹣2ln3＞|f （x1）﹣f（x2）|成立，求实数m的取值范围．参考答案一、ABBDB CBDBD BA二、13. e14. 215. [，+∞）16. ①②④三、17．【解答】解：（1）当n=1，时S1+a1=2a1=3∴a1=当n=2时，S2+a2=a1+a2+a2=5∴a2=，同样令n=3，则可求出a3=∴a1=，a2=，a3=猜测a n=2﹣（2）①由（1）已得当n=1时，命题成立；②假设n=k时，命题成立，即a k=2﹣，当n=k+1时，a1+a2+…+a k+2a k+1=2（k+1）+1，且a1+a2+…+a k=2k+1﹣a k∴2k+1﹣a k+2a k+1=2（k+1）+1=2k+3，∴2a k+1=2+2﹣，即a k+1=2﹣，即当n=k+1时，命题成立．根据①②得n∈N+，a n=2﹣都成立．18．【解答】（本题满分为12分）解：（1）由正弦定理，则=，所以=，即（cosA﹣2cosC）sinB=（2sinC﹣sinA）cosB，化简可得sin（A+B）=2sin（B+C）．因为A+B+C=π，所以sinC=2sinA．因此=2．﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣（2）由=2，得c=2a，由余弦定理b2=a2+c2﹣2accosB，及cosB=，b=2，得4=a2+4a2﹣4a2×．解得a=1，从而c=2．因为cosB=，且sinB==，因此S=acsinB=×1×2×=．﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣﹣19．【解答】解：（Ⅰ）f′（x）=3ax2﹣b由题意；，解得，∴所求的解析式为（Ⅱ）由（1）可得f′（x）=x2﹣4=（x﹣2）（x+2）令f′（x）=0，得x=2或x=﹣2，∴当x＜﹣2时，f′（x）＞0，当﹣2＜x＜2时，f′（x）＜0，当x＞2时，f′（x）＞0因此，当x=﹣2时，f（x）有极大值，当x=2时，f（x）有极小值，∴函数的图象大致如图．由图可知：．20．【解答】（1）证明：连接OD，OE．因为在等腰直角三角形ABC中，∠B=∠C=45°，，CO=BO=3．在△COD中，，同理得．因为，．所以A′O2+OD2=A′D2，A′O2+OE2=A′E2．所以∠A′OD=∠A′OE=90°所以A′O⊥OD，A′O⊥OE，OD∩OE=O．所以A′O⊥平面BCDE．（2）方法一：过点O作OF⊥CD的延长线于F，连接A′F因为A′O⊥平面BCDE．根据三垂线定理，有A′F⊥CD．所以∠A′FO为二面角A′﹣CD﹣B的平面角．在Rt△COF中，．在Rt△A′OF中，=．所以．所以二面角A′﹣CD﹣B的平面角的余弦值为．方法二：取DE中点H，则OH⊥OB．以O为坐标原点，OH、OB、OA′分别为x、y、z轴建立空间直角坐标系．则O（0，0，0），A′（0，0，），C（0，﹣3，0），D（1，﹣2，0）=（0，0，）是平面BCDE的一个法向量．设平面A′CD的法向量为n=（x，y，z），．所以，令x=1，则y=﹣1，．所以是平面A′CD的一个法向量设二面角A′﹣CD﹣B的平面角为θ，且所以所以二面角A′﹣CD﹣B的平面角的余弦值为21．【解答】解：（I），…2′，，…4′得，所以．…6′（2）（II）设A（x0，y0），则B（﹣x0，﹣y0）．直线，…8′代入得，因为，代入化简得，设，则，所以，．…12′直线，同理可得，．所以=，所以k DE：k=9．…15′（其他解法酌情给分）22．【解答】解：（1），令f'（x）=0，得，，当a=﹣2时，f'（x）≤0，函数f（x）在定义域（0，+∞）内单调递减；当﹣2＜a＜0时，在区间，上f'（x）＜0，f（x）单调递减，在区间上f'（x）＞0，f（x）单调递增；当a＜﹣2时，在区间，上f'（x）＜0，f（x）单调递减，在区间上f'（x）＞0，f（x）单调递增．（2）由（1）知当a∈（﹣3，﹣2）时，函数f（x）在区间[1，3]单调递减；所以当x∈[1，3]时，f（x）max=f（1）=1+2a，．问题等价于：对任意的a∈（﹣3，﹣2），恒有成立，即，因为a＜0，所以，∴实数m的取值范围为．。
2017年下学期高二第一次月考试卷
C. Make a phone call to her grandpa
3.
What is the man?
A. A studentB. An official
C. An athlete
4.
When did the man buy the shoes?
2.
A. Coffee B. Milk
What does the man suggest the woman do?
C. Tea
A. Pay a visit to her grandpa
B. Go over her grandpa’s pictures
C. Make a phone call to her grandpa
听下面5段对话或独白。每段对话或独白后有几个小题，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。每
段对话或独白读两遍。
听第6段材料，回答第6、7题。
6. When did the man make the phone call?
2017年下学期高二第一次月考试卷
时间：120分钟分值：150分
本试卷分为第I卷（选择题）和第II卷（非选择题）两部分
第一部分听力（共两节，满分30分）
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
A. Yesterday morning B. Yesterday afternoon C. Last night
2017下期高二第二次月考英语试卷
2017下期高二第二次月考英语试卷时量：120分钟总分：150分第一部分听力（共两节，满分30分）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。
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小题。
每段对话仅读一遍。
1. What do we know about the man?A. He slept late last night.B. He didn't sleep well last night.C. He didn't win the game.2. What is Tom doing?A. He is doing his homework.B. He is sleeping.C. He is h elping his mother.3. What does Mike mean?A. He wants to have a rest for a few days.B. The final exams were easy.C. It's too early for him to make plans.4. What does the man mean at the end of the conversation?A. He already has a roommate.B. He dislikes having a roommate.C. He is glad to have a roommate.5. What does the woman ask the man to do?A. To buy a bottle of wine for her.B. To come to her home for supper.C. To come to her home for a meeting.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独自。
2016-2017学年度下学期高二第二次月考
2016-2017学年度下学期高二第二次月考（满分150考试时间120分钟）第一卷第一部分：听力（共两节，满分20分）第一节（共5小题；第小题1分，满分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答案，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小题。
每段对话仅读一遍。
1. What does the man want to do tonight?A. Eat at home.B. Go out to eat.C. Learn how to cook.2. What does the woman most probably think of the man?A. Naughty.B. Careless.C. Kind-hearted.3. Why is there no food left in the fridge?A. Alice took all the food.B. Jim ate all the food.C. Jim took all the food to the kitchen.4. How does Susan probably look now?A. Pleased.B. Upset.C. Surprised.5. What does the man’s father want him to be?A. A musician.B. A programmer.C. A doctor.第二节（共15小题；每小题1分，满分15分）听下面5段对话。
每段对话或独白后有几个小题，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，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。
每段对话或独白读两遍。
请听第6段材料，回答第6、7题。
6. What time is it now?A. 11:30 am.B. 11:00 am.C. 1 2:00 noon.7. Where does the conversation take place?A. On the train.B. At the restaurant.C. At the train station.听第7段材料，回答第8、9题。
2017-2018学年下学期高二年级第二次月考
2017-2018学年下学期高二年级第二次月考本试卷分为第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。
考试时间：120分钟，满分150分。
第Ⅰ卷注意事项：答题前，考生务必用黑色碳素笔将自己的姓名、班级、座位号在答题卡上填写清楚，每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其他答案标号。
答在试题卷上的答案无效。
第一部分听力（共两节，满分30分）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小题。
每段对话仅读一遍。
What does the woman need?A. A spoon.B. A hamburger.C. A bowl of soup.2. What are the speakers excited about?A. Earning money.B. Not having to pay their bill.C. Getting a new bank in their neighborhood.3. What was the most important about university in Julie’s d ecision?A. The school fees.B. The location. C . The courses.4. Why isn’t the woman happy?A. The man is not listening to her.B. The man can’t judge fashion.C. The man bought her two similar dresses.5. Where does the conversation probably take place?A. At a laundry.B. At a clothing shop.C. At a post office.（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。
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班级： 考号： 姓名：
密 封 线
2017年下期第三次月考测试卷
高二数学
时间：120分钟 总分：150
一、选择题（每小题5分，12个小题，共60分）
1. 在△ABC 中，c 、、b a 分别是三角形的三个内角A 、B 、C 的对边，已知︒===30,4b ,3C a ，
则边c 为 （ ）
A.6
B.7
C.8
D.7
2. 在△ABC 中，︒===60,6,3C b a ，则三角形的面积为 （ ） A.18 B.183 C.39 D.9
3. 已知等差数列{}n a 的前3项分别为2、4、6，则数列{}n a 的第5项为 （ ） A.7 B.8 C.10 D.12
4. 已知等比数列{}n a 中3,21==q a ，则前5项和5S 为 （ ） A.243 B.242 C.100 D.40
5. 对于一元二次不等式0122
>+-+n nx x 的说法正确的是 （ ） A. 不等式无解 B.不等式有解
C.无法确定不等式是否有解
D.不等式恒成立 6. 已知0,0>>b a ，则
b
a
a b 82+的最小值为 （ ） A.8 B.2 C.16 D.32
7. 2<x 是23-<<x 的 （ ） A. 充分不必要条件 B.必要不充分条件
C.充要条件
D.既不充分也不必要条件
8. 已知命题p ：022,02
00≤++∈∃x x R x ，则p ⌝是 （ ）
A. 022,0200>++∈∃x x R x
B.022,2
>++∈∀x x R x
C.022,02
00≥++∈∃x x R x D.022,2≥++∈∀x x R x
9. 设抛物线的顶点在原点，准线方程为2-=x ，则抛物线的方程为 （ ） A.x y 42-= B.x y 42= C.x y 82-= D.x y 82=
10. 双曲线14
22
-=-y x 的渐近线方程为 （ ） A.x y 2±= B.x y 21±
= C.x y 4±= D.x y 4
1±= 11. 设1F 和2F 为双曲线)0,0(122
22>>=-b a b
y a x 的两个焦点, 若21F F 、，)2,0(b P 是正三角
形的三个顶点,则双曲线的离心率为 （ ）
A ．
23 B ．2 C ．2
5
D ．3 12. 设直线l 过双曲线C 的一个焦点，且与C 的一条对称轴垂直，l 与C 交于 A,B 两点，AB 为C 的实轴长的2倍，则C 的离心率为 （ ）
（A
（B
（C ）2 （D ）3
二、填空题(每小题4分，5个小题，共20分)
13. 在△ABC 中，角A ，B ，C 所对的边分别为a ，b ，c ，已知c ＝2a ，sin A ＝1
2，则sin C ＝.
14. 已知0,x >则函数1
y x x
=+
的最小值是． 15．已知点(,)x y 在如图所示的阴影部分内运动，
且3Z x y m =-+的最大值为2，则实数m =．
16．已知点（2,3）在双曲线C ：)0,0(122
22>>=-b a b
y a x 上，
焦距为4，则它的离心率为：.
17．已知抛物线顶点在原点，关于x 轴对称且经过点（2，-2），抛物线上一点P 到焦点F 的距离为4.5，则P 的坐标为.
三、解答题（每小题14分，5个小题，共70分） 18.（1）已知45
>
x ，求函数14245y x x =-+-的最小值。
（2）已知45<x ，求函数5
41
24-+-=x x y 的最值。
19.在ABC ∆
中，cos 5A =
，cos 10
B =（Ⅰ）求角
C ；
（Ⅱ）设AB =，求ABC ∆的面积.
20.在等差数列{}n a 中，已知242,4a a ==. （1）求数列{}n a 的通项公式n a ；
（2）设2n a
n b =，求数列{}n b 前5项的和5S .
21.已知椭圆有两顶点A(-1，0)、B(1，0)，过其焦点F(0，1)的直线l 与椭圆交于C 、D 两点，并与x 轴交于点P ．直线AC 与直线BD 交于点Q ． (I)当
l 的方程； (II)当点P 异于A 、
B 两点时，求证：为定值.
22.某家具厂有方木料90 m 3，五合板600 m 2，准备加工成书桌和书橱出售．已知生产每张书桌
需要方木料0.1 m 3，五合板2 m 2，生产每个书橱需要方木料0.2 m 3，五合板1 m 2，出售一张方桌可获利润80元，出售一个书橱可获利润120元． (1)如果只安排生产书桌，可获利润多少？ (2)如果只安排生产书橱，可获利润多少？ (3)怎样安排生产可使所得利润最大？
OP OQ ∙。