上海市行知中学2015—2016学年第一学期期末考试
高一年级 数学试卷
一、填空题（本大题满分56分）本大题共有14题，每个空格4分。
1、已知全集U R =，集合()1,A =+∞，则U C A =________________________
2、终边落在x 轴负半轴的角的全体组成的集合________________________
3、函数2log y x =的零点是________________________
4、方程2121x -=的解为________________________
5、函数()()lg 1,2y x x =->的反函数是________________________
6、已知{}2,1,3m ∈-，若函数()222m m f x x +-=是偶函数，则m =________________________
7、函数()()
2lg 2f x x x =-+的最大值是________________________ 8、设lg 2a =，lg3b =，则5log 12=________________________（用a 、b 表示）
9、已知实数x 、y 满足21x y +=，则24x y +的最小值是________________________
10、方程()()332log 3log 5x x -=-的解为________________________
11、已知函数()214
x f x x x +=++，则()f x 在区间()1,-+∞上的最大值为________________________ 12、已知()f x 是定义在R 上的奇函数，当0x >时，()2lg f x x x =+，则当0x <时，
()f x =________________________
13、已知集合[]0,M t =，若集合{}
[]223,2,3y y x x x M =-+∈=，则实数t 的取值范围是________________________
14、对于定义域为正整数集的函数()f x ，若存在一个函数()g x ，使得对于任意的x Z +∈ ，均有()()f x g x ≥，则称()g x 为()f x 的“弱正离散函数”。设
()()3223252(),2()4
f x x x tx t x Z
g x x x x x Z ++=--+∈=--+∈，且()g x 为()f x 的弱正离散函数。则实数t 的取值范围是________________________
二、选择题（本大题满分20分）本大题共有4题，每小题5分。
15、“1x >”是“1x ≥”的（ ）
（A ）充分非必要条件（B ）必要非充分条件（C ）充要条件（D ）既非充分又非必要条件
16、已知下列4个函数：（1）1y x =-，（2）2x y =，（3）1y x =
，（4）1y x x =+，其中定义域与值域相同的函数个数是（ ）
（A ）0个 （B ）1个 （C ）2个 （D ）3个
17、函数123x y -=-的图像不经过（ ）
（A ）第一象限（B ）第二象限（C ）第三象限（D ）第四象限
18、关于x 的方程()222
110x x k ---+=，给出下列四个命题：
（1）存在实数k ，使得方程有2个不同的实数根；
（2）存在实数k ，使得方程有4个不同的实数根；
（3）存在实数k ，使得方程有5个不同的实数根；
（4）存在实数k ，使得方程有8个不同的实数根，
其中，假命题的个数是（ ）
（A ）0个 （B ）1个 （C ）2个 （D ）3个
三、解答题（本大题共5小题，满分74分）
19．（本题满分12分）本题共有2小题，第1小题4分，第2小题8分。
已知A 是第一象限角，且cos A 是方程2610x x --=的解，
（1）求cos A 的值；
（2）求()cos A π-和sin A 的值。
20．（本题满分14分）本题共有2小题，第1小题8分，第2小题6分。 已知集合101x m A x
x m --??=
(0m >)，()()2lg 820f x x x =-++定义域为集合B ， （1）求集合A 、集合B ；
（2）若A B ?，求实数m 的取值范围。
21．（本题满分14分）本题共有2小题，第1小题6分，第2小题8分。
某学校要建造一个面积为10000平方米的运动场。如图，运动场是由一个矩形ABCD 和分别以AD 、BC 为直径的两个半圆组成。跑道是一条宽8米的塑胶跑道，运动场除跑道外，其他地方均铺设草皮。已知塑胶跑道每平方米造价为150元，草皮每平方米造价为30元
(1) 设半圆的半径OA=r (米),试建立塑胶跑道
面积S 与r 的函数关系S(r ) ；
(2) 由于条件限制[]30,40r ∈,问当r 取何值时,运动场
造价最低?（四舍五入精确到1元）
22．（本题满分16分）本题共有3小题，第1小题4分，第2小题6分，第3小题6分。
已知()21x ax f x x
++=，()g x x a =-，[)2,P =+∞，[]1,2M =。 （1）若函数()f x 是奇函数，求实数a 的值；
（2）设()()()F x f x g x =?，若()F x 在区间P 上是增函数，求实数a 的取值范围；
（3）若(){}
0A x f x =>，A M ≠? ，求实数a 的取值范围。
23．（本题满分18分）本题共有3小题，第1小题4分，第2小题7分，第3小题7分。
已知函数2()2(0)g x ax ax a b a =-++>在区间[2 3]，上的最大值为4，最小值为1，记()(||)()f x g x x R =∈。
(1) 求实数b a 、的值；
(2) 若不等式2
22()()log 2log 3f x g x k k +≥--对任意
x R ∈恒成立，求实数k 的取值范围；
(3) 对于定义在[]p q ，上的函数()m x ，设0n x p x q ==，，用任意的(1 2 1)i x i n =- ，，，将[]p q ，划分成n 个小区间，其中11i i i x x x -+<<，若存在一个常数0>M ，使得01121|()()||()()||()()|n n m x m x m x m x m x m x M --+-++-≤ 恒成立，则称函数)(x m 为在[]p q ，上的有界变差函数，证明函数)(x f 是在[1 3]，上的有界变差函数，并求出M 的最小值。
上海南汇中学2019学年第一学期10月考试 高一数学 一、填空题(每小题3分，共12题，共36分) 1.设集合{}1,2,3A =-，集合{}23,B a =，若B A ?，则a =__________． 【答案】 【分析】 由题意得出22a =，由此可解出实数a 的值. 【详解】20a ≥Q ，且{}1,2,3A =-，{}23,B a =，B A ?，22a ∴= ，解得a = 故答案为：【点睛】本题考查利用集合的包含关系求参数，在处理有限集的问题时，还应注意集合的元素应满足互异性，考查计算能力，属于中等题. 2.用描述法表示所有被4除余1 的整数组成的集合：_________． 【答案】{} 41,x x n n Z =+∈ 【分析】 利用描述法和整除性质即可得出. 【详解】由题意知，所有被4除余1的整数组成的集合为{}41,x x n n Z =+∈. 故答案：{} 41,x x n n Z =+∈. 【点睛】本题考查描述法、数的整除性质，考查推理能力，属于基础题. 3.设集合(){},13A x y y x = =-，(){},5B x y y x ==+，则A B =I __________． 【答案】 (){}1,4- 【分析】 解方程组135 y x y x =-??=+?，求出公共解，即可得出集合A B I .
【详解】解方程组135y x y x =-??=+?，得14x y =-??=? ，因此，(){}1,4A B =-I . 故答案为：(){}1,4-. 【点睛】本题考查集合交集的计算，同时也考查了二元一次方程组的求解，在表示集合时要注意集合元素的类型，考查计算能力，属于基础题. 4.不等式1123 x <-的解集是_________． 【答案】()3, 2,2? ?-∞?+∞ ??? 【分析】 将原不等式变形为24023 x x ->-，解出该不等式即可. 【详解】由1123x <-，移项得11023x ->-，即24023x x ->-，解得32 x <或2x >. 因此，不等式1123x <-的解集是()3,2,2??-∞?+∞ ?? ?. 故答案为：()3,2,2? ?-∞?+∞ ?? ?. 【点睛】本题考查分式不等式的求解，考查运算求解能力，属于基础题. 5.已知关于x 的不等式220ax x c ++>的解集为11(,)32 -，则不等式220cx x a -+->的解集为__________． 【答案】(2,3)- 分析：不等式2 20ax x c ++>的解集为11,32??- ???，则方程220ax x c ++=的根为11,32-，利用韦达定理求参数c a 、，再解不等式220cx x a -+->即可。 详解：不等式220ax x c ++>的解集为11, 32??- ???，则方程220ax x c ++=的根为11,32-，由韦达定理可知：2111a 12326a -=-+=?=-，111c 2326 c a =-?=-?=，所以不等式
上海市行知中学2014-2015学年高二上学期期中考试历史试题word版 一、单项选择题(每题2分，共90分。每题只有一个正确答案) 1．美国历史学家写道：“想象一下，哥伦比亚麦德林可卡因垄断集团成功发动一起对类国的军事袭击，迫使其允许可卡因合法化，还须支付巨额战争赔款——这幅场景当然荒谬绝伦，但类似的事件在19世纪的中国确曾发生过。”“类似的事件”是指 A．八国联军侵华战争B．甲午战争C．中法战争D．鸦片战争 2．1870年前后，湖南、江西、江苏、湖北、直隶等地教案频发。民间传言，“或称教堂拐骗人口，或称教堂挖眼剖心，或称教堂诱污妇女”。此类传言盛行的主要原因在于 A．清政府允许传教士在华传教B．民众与外国势力的矛盾加剧 C．普通民众受教育程度较低D．太平天国运动的影响 3．一个英国人在乾隆二十五年(1760年)到中国，这一年他可能经历的事情是 A．看到机户和机工因工资纠纷到衙门打官司 B．邀请中国朋友去他乘坐的船上参观蒸汽机 C．北京的朋友邀请他看京剧演出 D．收到国内信说英王解散了议会 4．“如果基督教国家参与镇压这场运动将是很悲哀的，因为起义者们抱着一种争取进步的激情和作全面改革的意向，……目前显得较可取的惟一政策，……避免与内战双方发生任何政府层面的瓜葛。”这则材料反映出 A．太平天国运动初期英国采取中立政策B．义和团运动兴起后英国避免介入 C．北伐战争时期英国奉行中立政策D．辛亥革命时期英国采用外交孤立政策 5．近代一位有识之士曾说：“一国所得，诸国安然而享之；一国所求，诸国群起而助之。是不啻驱西洋诸国，使之协以谋我。”上述言论针对的是这反映出 A．领事裁判权B．片面最惠国待遇C．居住及租地权D．“门户开放”政策 6．现代化是晚清历史发展的一个趋向，最能体现这一趋向的是 A．洋务运动——戊戌变法——清末新政 B．洋务运动——戊戌变法——辛亥革命 C．鸦片战争——中法战争——甲午战争 D．太平天国运动——义和团运动——辛亥革命 与以上行政机构变化直接相关的历史事件，对应准确的一组是 A．洋务运动——百日维新——新政——预备立宪 B．洋务运动——甲午战争——辛丑条约——新政 C．第二次鸦片战争——甲午战争——新政——预备立宪 D．第二次鸦片战争一维新变法～辛丑条约～新政 8．清朝第一位驻外使节郭嵩焘在给李鸿章的信中说到：“轮船之为便利，天下所共知也。愚劣如湘人，亦习焉而知其利。是以十年以前，阻难在士绅；十年以，阻难专在官。凡三次呈请……独不准百姓置造”。这种现象开始改观是在 A．19世纪40年代B．19世纪60年代C．19世纪末D．20世纪初 9．同治年间(1861—1875年)，清朝统治出现相对稳定的局面，国力有所增长，士大夫阶层
上海市行知中学2020-2021学年高三下学期3月月考数学试 题 学校:___________姓名：___________班级：___________考号：___________ 一、填空题 1．若复数z 满足2136z i -=+（i 为虚数单位），则z =____________. 2．函数()()1,1x f x a b a b =+><-不经过第_________象限. 3．已知“x k >”是“ 3 1x <”的充分不必要条件，则实数k 的取值范围是_________. 4．在报名的2名男教师和4名女教师中，选取3人参加义务献血，要求男、女教师都有，则不同的选取方式的种数为________（结果用数值表示）. 5．设函数()()cos 06f x x πωω?? =- > ?? ? ，若()4f x f π?? ≤ ??? 对任意的实数x 都成立，则ω的最小值为__________． 6．如果已知极限1lim sin 1n n n →∞??= ???，那么极限21 5sin lim 21 n n n n →∞--=________. 7．已知P 为曲线sin cos 12sin 2x y θθθ=+??=-? （θ是参数，02θπ≤<）上一点，则点P 到点 ()0,1Q 距离的最小值是_______. 8．已知函数()()2 11f x ax b x b =+++-，若对任意的b R ∈，函数()()F x f x x =-总有两个不同的零点，则实数a 的取值范围是___________. 9．若正三棱锥的正视图与俯视图如图所示，则它的侧视图的面积为__________. 10．若实数x 、y 满足约束条件4y x x y y k ≤?? +≤??≥? ，且2z x y =+的最小值是9-，则实数k = ______. 11．在平面直角坐标系中，已知A （1,0），B （0，?1），P 是曲线 上一个动
上海南汇中学 2011—2012学年度高三第一次考试 英语试题 本试卷分为第I卷和第II卷两部分，满分150分。考试时间120分钟。 第Ⅰ卷（105分） I．Listening Comprehension Section A Directions: In Part A, you will hear ten short conversations between two speakers．At the end of each conversations, a question will be asked about what was said．The conversation and the question will be spoken only once．After you hear a conversation and the question about it, read the four possible answers in your paper, and decide which one is the best answer to the question you have heard． 1．A．In a drugstore．B．In a warehouse． C．In a department store．D．In a fashion designer's studio, 2．A．She's spending time going over her accounts． B．She's going home for only a few days． C．She's excited about going home． D．She's counting the number of vacation days． 3． A．150．B．135．C．100．D．15．4．A．When he was sixteen．B．When he was thirty-nine．C．When he was thirteen．D．When he was thirty． 5．A．He can't go to the lab this week． B．He thinks the woman is being unfair． C．He agrees that the workload is too heavy． D．He feels the assignment is reasonable． 6．A．The woman asks the man to help her manage her money． B．The woman helps the man leam to manage his money． C．The woman pays for the seminar． D．The woman will go to the seminar with the man． 7．A．It is not his affair． B．He is too busy to answer her． C．It has been two weeks since he met Charles last time． D．He doesn't know Charles well． 8．A．Lawyer and client．B．Secretary and patient．C．Shop assistant and customer．D．Waiter and customer．
上海市行知中学2019学年第一学期 高一年级第一次月考英语试卷 I. Grammar and Vocabulary Section A Directions: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank. Mistakes that work The best way to learn something is to make mistakes first. Thomas Edison, (1) __________ invented the light bulb, told his colleagues: “Of the 200 light bulbs that didn’t work, every failure told me something was able to incorporate (融入) into the next attempt.” Benjamin Franklin, the US statesman and scientist once said: “I haven’t failed. I have had 10,000 ideas that didn’t work.” (2) __________ of these people understood that failures and false starts are the condition of success. In fact, (3) __________ surprising number of everyday objects had their beginnings in a mistake or a misunderstanding. Post-it notes, packets of crisps and even bread are all unexpected inventions. In 2600 BC, a tired Egyptian slave invented (4) __________ is now called bread when the dough (面团) rose during his sleep. And crisps were first cooked by a cook in the USA when a customer suggested his fried potatoes be (5) __________ (thin) than they were. In 1968 Spencer Silver was trying to develop a strong glue when he accidentally invented a very weak glue instead. His colleague, Art Fry decided to use it six years later, in1974, to have his bookmarks (6) __________ (hold) in his books and the post-it note was invented. Successful businesspeople have often made big, expensive mistakes in their past. When an employee of IBM made a mistake that cost the company $600,000, Thomas Watson, the chairman, (7) __________ (ask) if he would fire the man. “No,” he replied. “I have just spent $600,000 (8) __________ (train) him. I won’t let another company (9) __________ (benefit) from the experience. The important thing to remember is that you need to learn from your mistakes. (10) __________ you don’t, then there is no point making them. 1 / 11
上海南汇中学2015学年高三10月月考卷 II. Reading Section A (16分) Directions: Read the following two passages. Fill in each blank with one proper word or the proper form of the given word to make the passage coherent. Make sure that your answers are grammatically correct. (A) People in all parts of the world are observing “No Tobacco Day”. It is the day 25 the World Health Organization appeals to people to stop using tobacco products. The WHO hopes 26 people stop smoking cigarettes or chewing tobacco for one day, they will stop permanently. The day includes special observances and awards ceremonies in 166 countries. The target group for this year’s “NO Tobacco Day” is women. Organizers want to make sure women know the dangers of smoking. Health experts have warned for years that smoking 27 lead to heart disease, cancer and other problem. The World Health Organization says diseases linked to smoking kill at least 2,500,000 persons each year. Still, many people find it difficult to stop smoking. One reason is nicotine, a substance found in cigarettes. Nicotine is a drug. The effects of it are similar to the effects of cocaine and heroin. “No Tobacco Day” is aimed at smokers and those 28 earn money from tobacco sales. So businesses are asked to stop selling tobacco products for twenty-four hours. Newspapers are required not 29 (publish )_advertisement for cigarettes. Two important developments 30 ( observe) in recent years. In industrial countries, the number of smokers has been falling about one percent a year. But in developing countries, the number of smokers has been rising two percent a year. This is the result of increased efforts by tobacco companies 31(sell) their products in developing countries. The World Health Organization has approved plans _to help reach its goal of a “smoke-free” world. 32 governments ought to offer tobacco farmers the chance to earn money by growing other crops. Another involves improved public information campaigns about the dangers of smoking. (B ) In cinema's earliest days, the film industry was based in the nation's theatrical center, New York, and most films were made in New York or New Jersey, 33 a few were shot in Chicago, Florida, and elsewhere. Beginning in 1908, however, a growing number of filmmakers located
2019-2020学年上海市行知中学高一下学期期末数学试题 一、单选题 1．将表的分针拨慢10分钟，则分针转过的角的弧度数是( ) A ． 3 π B ． 6 π C ．3 π- D ．6 π- 【答案】A 【解析】将表的分针拨慢10分钟，则分针逆时针转过60°，即分针转过的角 的弧度数是 3 π. 本题选择A 选项. 2．关于函数()(0)a f x x a x =- >，有下列四个命题，其中正确的是（ ） A ．()f x 的值域是(,0)(0,)-∞+∞ B ．()f x 是奇函数 C ．()f x 在(,0)(0,)-∞+∞上单调递增 D ．方程|()f x a =∣ 总有两个不同的解 【答案】B 【解析】A 中通过令()0f x =可求得x 的值，可知值域包括0，可判断A ； B 中根据奇函数的定义可判断B ； C 中通过反例可确定()f x 在()(),00,-∞?+∞上不满足单调递增的定义，可判断C ； D 中将方程变为a x a x - =±，通过验证两个一元二次方程各有两个不等实根，并且0x =不是其中任何一个的根，即可确定方程共有四个不同解，可判断D. 【详解】 对于A 选项：令0a x x - =，解得：x =()f x 值域含有元素0，则A 错误； 对于B 选项：由解析式可知()f x 定义域为{} 0x x ≠，又 ()()a a f x x x f x x x -=-- =-+=-- ()f x ∴是奇函数，则B 正确； 对于C 选项：当()x ∈时，()0f x >；当(x ∈时，()0f x <，可知()f x 在()(),00,-∞?+∞上不满足单调递增的定义，则C 错误； ④由()f x a =得： ()f x a =±，即a x a x - =±，整理可得：20x ax a ±-= 240a a ∴?=+>，20x ax a ∴+-=与20x ax a --=各有两个不等实根，
2018-2019学年上海市浦东新区南汇中学高一上英语期中试卷解析 II. Grammar and Vocabulary (20%) Section A (10%) Directions: After reading the passage below. fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.. For many people, having your own business sounds like the perfect job. You can do work that you love and set your own schedule. Every morning, you (21)________(greet) with cries of welcome from your employees At night, you don’t have to be forced to work overtime. You never have to listen to a boss, and you can even raise your salary any time you want. Nevertheless the reality is different "(22)________ (run) your own business can be lonely." says David Pail.l who started a website design business at home years ago. His income in the first two months was ＄0.Finally, he got a big project creating a website for a magazine. Then he had a new problem: his schedule. "I was working twelves hours a day, seven days a week (23)________I didn't have employees to help me.”today, Paid Web Design is successful but David says,”I wasn't really prepared at the beginning I didn't understand the challenges I(24)________(face)then." Some of the challenges are practical With no boss, (25)________ is easy to take too much time off-and get too little work done. With no co-worker ,you might feel (26)________ (bore). You have to pay for your own benefits, such as vacations and insurance. (27)________ you make a bad business decision,you will lose all the money that you invested. For all of these reasons. more than half of all new businesses fail within one year. Another problem is balancing work with personal life. As a business owner, you can't just stop at 5p.m. and forget about your work until tomorrow. David recalls,” Even when I was watching TV in the evening. I was thinking about my clients and my projects, I did try to stay away from my business after work, but my worry was impossible (28)________(hide)." Still, hundreds of people around the world start businesses every day, and most enjoy the adventure.Denise Williams, the owner of a women’s clothing store, began by making and selling T-shirts in her apartment and she (29)________ (open) seven new branches since then. "There are lots of advantages to having your own business," says Denise, "You can decide exactly (30)________ to operate it and who will be by your side to work for you. When you are your own boss, there are no limits." 【答案】21.are greeted 22.Running 23because/as/since 24.was facing/faced 25.it 26.bored 27.If
陶行知简介 陶行知是我国近代教育史上伟大的人民教育家，教育思想家和教育改革、实践家，是伟大的民主主义战士，共产主义战士，伟大的 爱国主义者。他的一生竭尽全力，奉献教育，他用自己长期的教育 实践经验创立了具有中国特色的生活教育理论为主要内容的教育学 说。陶行知的一生是为我国人民教育事业和革命事业做出不朽贡献 的光辉一生，陶行知的崇高师德和奉献精神，堪称“万世师表”， 永远是人民教师学习的楷模。 1、少年时代的陶行知（1891——1917） 陶行知原名文浚，1891年10月18日出生于安徽省黄山市的歙县黄潭源村。家境清贫，其父给幼小的儿子取名文浚，意思是希望他长大后有所作为。 1896年，陶文浚刚满六岁，由场村蒙童馆先生文秀才免费收为弟子，由于聪明好学，曾在三刻钟内熟读和背诵《左传》43行，在学习上显露惊人的聪明。 1906年，陶文浚，因崇一学堂英籍校长唐俊贤喜其聪明勤劳准予免费吸收他为崇一学堂第十七个学生。年轻的陶文浚从小热爱祖国，座位上及寝室墙壁上均写上了“我是中国人，我要为中国出力。” 1908年，因学习成绩优异，他提前一年毕业于崇一学堂。于当年考上了杭州广济医学堂学医。 1909年，受崇一学堂唐俊贤校长的资助，他考上了南京金陵大学预科汇文书院成美馆学习（成美馆即今日南京金陵中学的前身）。 1910年，他转入金陵大学文学系，在校期间，学习成绩优异，出类拔萃，并组织爱国演讲，举办爱国捐献，热心宣传民族民主革命思想。 1911年，武昌爆发辛亥革命前夕，正值暑假，陶文浚回县参加辛亥革命地文起义。1914年，陶文浚以优异的成绩毕业于南京金陵大学。毕业论文《共和精义》发表在《金陵光》学报上，其中提出了教育兴国的主张。当年，陶文浚受人资助，考上了美国伊利诺大学，攻读市政。1915年获该校政治硕士学位。 1915年秋，陶文浚转到哥伦比亚大学师范学院教育系学习，受杜威教授、孟禄教授等的指导，这给回国的陶行知为祖国教育的改革和发展，尤其是大众教育的普及起了积极的推动作用。 1917年夏，陶文浚在哥伦比亚大学获该校都市学务总监资格文凭。他谢绝了美国孟禄教授让他申报博士学位的好意，怀着“要使全中国人民教接受教育”的宏愿，回到了苦难的祖国，踏上献身人民教育事业的征途。 2、提倡教育改造时期（1917——1926） 1917年，陶行知留学回国后，应聘到南京高等师范学校任教育学专任教员，主张课堂教学与社会实践相结合。 1917年，由黄炎培先生倡导的“中华职业教育社”在上海成立。刚从美国归来的陶行知，被吸收为中华职业教育社的“特别会员”，提出生利、利群的职业教育宗旨。 1918年，他担任南京高等师范学校代理教务处主任。当年五月，南京高等师范学校教育专修科成立，他担任该科主任。 1919年，“五四”运动兴起，陶行知积极参加“五四”爱国运动，提出教育改革的主张。先后发表了《教学合一》、《第一流的教育家》等文章。提倡“教学相长”，主张教与学结合，好的先生不是教书，不是教学生，而是教学生学。 1920年，他促成南京高等师范学校首次招女生，并与北京大学相约，开放女禁，招收女生。 1921年，南京高等师范学校改为东南大学，陶行知兼任教育科主任。同年12月，中华教育改进社宣布成立，他担任主任干事要职，提出教育革新运动必须具备开辟和试验精神。
2019年上海市行知中学高一第一学期月考 数学试题 2019.10 一、单选题 1．若集合P 不是集合Q 的子集，则下列结论正确的是（ ） A.Q P ? B.P Q =?I C.P Q ?≠? D.P Q P ≠I 【答案】D 【解析】根据互为逆否命题的两个命题等价，得到答案. 【详解】 原命题：“若P Q P =I ，则集合P 是集合Q 的子集”，真命题； 逆否命题：“若集合P 不是集合Q 的子集，则P Q P ≠I ”， 根据互为逆否命题的两个命题等价，原命题真，那么逆否命题也是真命题， 故选：D 【点睛】 本题考查根据互为逆否命题的两个命题是等价的，判断命题的真假，意在考查对命题内容的理解，和掌握情况，属于基础题型. 2．集合P 具有性质“若x P ∈，则 1 P x ∈”，就称集合P 是伙伴关系的集合，集合111,0,,,1,2,3,432A ?? =-???? 的所有非空子集中具有伙伴关系的集合的个数为（ ） A.3 B.7 C.15 D.31 【答案】C 【解析】首先分析集合A 中的哪些元素能是伙伴关系的集合里的元素，然后利用集合的子集个数公式求解. 【详解】 根据条件可知满足伙伴关系的集合里面有1 11,1,,3,,232-中的某些元素， 1 3和3，12 和2都
以整体出现， 1 3和3看成一个元素，12 和2也看成一个元素， ∴共有4个元素， Q 集合是非空集合， ∴有42115-=个. 故选：C 【点睛】 本题主要考查集合关系的判断，利用条件确定伙伴关系的元素是解决本题的关键，意在考查分析问题和解决问题的能力. 3．已知,,a b c ∈R ，则下列四个命题正确的个数是（ ） ①若22ac bc >，则a b >；②若22a b ->-，则()()2 2 22a b ->-； ③若0a b c >>>，则a a c b b c +>+；④若0a >，0b >，4a b +>，4ab >，则2a >，2b >. A.1 B.2 C.3 D.4 【答案】C 【解析】利用不等式的性质，逐一分析选项，得到正确结论. 【详解】 ①当22ac bc >时，20c >，两边同时除以2c ，得到a b >，正确； ②220a b ->-≥，那么2 2 22a b ->-，即()()2 2 22a b ->-，正确； ③ ()()()()() a b c b a c c a b a a c b b c b b c b b c +-+-+-==++- ，0a b c >>>Q 0,0a b b c ∴->-> a a c b b c +∴>+，正确； ④令1 10,2 a b == 同样能满足4,4a b ab +>> ，2,2a b ∴>>不正确. 共有3个正确. 故选：C. 【点睛】 本题考查不等式比较大小，一般不等式比较大小的方法：1.做差法，2.利用不等式的性质，
2018-2019学年上海市浦东新区南汇中学高二上英语期末试卷解析 II. Grammar and Vocabulary 20% Section A 10% Directions:After reading the passage below,fill in the blanks to make the passage coherent and grammatically correct.For the blanks with a given word,Fill in each blank with the proper form of the given word:for the other https://www.doczj.com/doc/567117427.html,e one word that best fits each blank. Receiving gifts is certainly something everyone enjoys. But do you know that many people enjoy giving gits even more than (18)________ (receive )them? You may have heard people say from time to time, "It's better to give than to receive(19)________. this be true? Unwrapping the gift you (20)________ (want) for months and months is so exciting.How could anything get better than that? Maybe you already know what we're talking about.Have you ever worked really hard on (21)________priceless work of art for a loved one? When you were finished with it. you were probably very excited to give to them. Waiting until their birthday or a special occasion can sometimes seem like t orture (折磨) when you just can't wait (22)________ (give) someone a special homemade gift right from your heart Do you remember the very feeling of expectation (23)________you get as they're opening their present? (24)________________________you've ever felt like that, then you know it's true: it rally is better to give than to receive There's just a simple joy from giving freely of your time and talents to loved ones. This old saying has ancient roots in many religions. The Bible. the Torah, and the Quran all encourage helping others. Today, scientists are also looking for biological evidence (25) ________. it's better to give than to receive For example, some scientists believe that giving to or helping others helps to relieve stress in the body and is (26)________(beneficial) to your heath. From your own personal experience, you probably know how good it feels to do a good deed for (27)________ Helping others allows you to capture that great feeling by putting others first. You might capture that feeling by volunteering your services for a worthy cause. 【答案】18.receiving 19.Could/Can 20.have been wanting 21.a 22.to give 23.that 24.As/So long as 25.that/why 26.more beautiful 27.someone/others 【解析】 18.考察非谓语动词。词组enjoy doing sth more than doing sth，喜欢做某事更胜于做某事，故填receiving。 19.考察情态动词。句意：这句话会是正确的吗？情态动词can/could表示“能；会”，故填Could/Can。 20.考察现在完成进行时。句意：打开你好几个月都一直想要的礼物是非常兴奋的。句中want动作从过
=========专项训练·词汇========= (A) A German entrepreneur named Lasse Rheingans has become a subject of attention since The Wall Street Journal recently reported on a novel idea he has put in place at his 16-person technology start-up: a five-hour workday. They arrive at 8 a.m. and leave at 1 p.m., at which __1__ they’re not expected to work until the next morning. This __2__ between time in the office and time spent working is critical. In our current age of email and smartphones, work has pervaded (渗透) more and more of our waking hours, making the idea of a(n) __3__ workday seem quaint (古怪的). We’re driven to these extremes by some __4__ sense that all of this crazy communicating will make us more productive. Mr. Rheingans is betting that we have this wrong. His experiment is based on the idea that once you remove time-wasting distractions and constrain (约束) __5__ conversation about your work, five hours should be sufficient to accomplish most of the core activities. To __6__ this new approach, he has employees leave their phones in their bags at the office and blocks access to social media on the company network. Strict rules reduce time spent in meetings. Perhaps most important, his employees now check work email only twice each day. The Wall Street Journal described it as “radical (激进的).” However, many people are heartened to see Mr. Rheingans’s idea of short workday and, as was reported this week, Microsoft Japan’s __7__ with a four-day week during the summer. It’s not yet clear that these innovations are exactly the right way to run technology companies, or whether they can __8__ to other business contexts. But what is right in this case is the __9__ mind-set that led to these experiments in the first place. If like many digital knowledge workers, you’re exhausted by endless work and flooded inboxes, the good news is that better and more sustainable ways of producing valuable __10__ with your brain might be coming — if we can find enough visionaries willing to try out “radical” new ideas about how best to get things done.