9.山西大学附中2020届高三第二学期3月模块诊断含答案

2020年高考（58）山西大学附中2020届高三第二次模块诊断语文一、现代文阅读（36分）（一）论述类文本阅读（本题共3小题，9分）阅读下面的文字，完成1～3题。

戉：早期王权的象征王者，一国之主。

其形三横一竖，为何这样的构形？汉字早期在表达这个王字时，以器具“戉”的象形来指代“王”，表明了“戉”即“王”的含义。

不过这个原初的字义，似乎很快就被淡忘了。

两周到西汉时期对“王”字的解释，臆断成分很重。

孔子曰：‘一贯三为王’。

”董仲舒曰：“三画而连其中谓之王。

”孔子和董仲舒都没有将这个字解释准确。

甲骨文的发现，为推定“王”字的本初意义提供了证据。

文史学家吴其昌说，戊、戉、戍、成、咸诸字皆由石斧的形状演化而来，其锋刃左右旁向者衍为上述各字，其锋刃向下时则衍为工、士、壬、王诸字。

这个斧头的形状，居然造就了如此多的字形，斧头的方向判定了字的意义，让我们见识了古人造字的意趣。

考古学家林沄有专文《说王》，论“王”字本像无柄且刃缘向下的斧钺之形，本表示军事统率权，后来这军事统率权的象征演变为王的权杖。

“戉”的象形，是王字定形的基础，这已经成为古文字学家的共识。

历史学家徐中舒也说戉的写法，“像刃部下向之斧形，以主刑杀之斧钺象征王者之权威”。

甲骨文存在的商代，钺已经是青铜质，而戉字的出现却是更早时代的事，良渚文化陶器上的刻画就是证据。

良渚文化玉戉的背后，也许已经有了王权的定义吧。

戉这个字，可以给相关的字形字义更多的提示。

有研究者论“辛”，说最早的甲骨文“辛”，是一把执行最严厉刑法的割人肉用的锋利小刀，三面有刃，字的下尖或左偏或右偏，表示刀锋歪斜，类似雕刻刀。

这样解释其实并不到位，“辛”的字形其实是一柄刃部向上的戉，下面那个尖尖其实是柄，刃在上方，那些学者显然是将它认倒了。

再看看带有“辛”字根的“辟”，甲骨文写成用戉砍掉了一个人的头的样子，所以这是一种极重的刑罚，砍头，古代谓之“大辟”。

王是下达或者执行“大辟”的主体，所以王又有了“辟”这样奇怪的代称，这与用戉代称王的意义是一样的。

山西大学附中2020届高三下学期3月模块诊断文科数学试卷一、选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．已知函数()2sin 26f x x π⎛⎫=+ ⎪⎝⎭，若将它的图象向右平移6π个单位长度，得到函数()g x 的图象，则函数()g x 图象的一条对称轴方程为（ ）A ．12x π=B ．4x π=C ．3x π=D ．23x π=2．设x R ∈, 对于使22x x M -+≤成立的所有常数M 中，我们把M 的最小值1叫做22x x -+的上确界. 若,a b R +∈，且1a b +=，则122a b--的上确界为（ ） A ．5- B ．4- C ．92-D ．923．设集合，，则（ ）A ．B ．C ．D ．4．已知0＜a ＜1，0＜c ＜b ＜1，下列不等式成立的是（ ）A ．b ca a > B ．c c ab b a +>+C ．b c log a log a<D ．b cb ac a >++5．已知点P 在直线210x y +-=上，点Q 在直线230x y ++=上，PQ 的中点为()00,M x y ，且0017y x -剟，则0y x 的取值范围为（ ）A ．122,5⎡⎤⎢⎥⎣⎦B ．2,05⎡⎤-⎢⎥⎣⎦C ．51,164⎡⎤-⎢⎥⎣⎦D ．22,5⎡⎤-⎢⎥⎣⎦ 6．已知m ，n 是空间中两条不同的直线，α，β为空间中两个互相垂直的平面，则下列命题正确的是（ ）A ．若m α⊂，则m β⊥B ．若m α⊂，n β⊂，则m n ⊥C ．若m α⊄，m β⊥，则//m αD ．若m αβ=I ，n m ⊥，则n α⊥ 7．设角A,B,C 是ABC ∆的三个内角,则“”是“ABC ∆是钝角三角形”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．下列函数中，既是偶函数又存在零点的是（ ） A ．B ．C ．D ．9．已知三棱锥中，为中点，平面，，，则下列说法中错误的是（ ）A ．若为的外心，则B ．若为等边三角形，则C ．当时，与平面所成角的范围为D ．当时，为平面内动点，若平面，则在三角形内的轨迹长度为10．过抛物线24y x =的焦点F 的直线交该抛物线于A 、B 两点，若|AF|=3，则|BF|=( )A ．2B ．32 C ．1 D ．1211．问题“今有女子不善织布，逐日所织的布以同数递减，初日织五尺，末一日织一尺，计织三十日，问共织几何？”源自南北朝张邱建所著的《张邱建算经》，该问题的答案是（ ） A ．90尺 B ．93尺 C ．95尺 D ．97尺 12．函数 2,(,]1xy x m n x -=∈+的最小值为0，则m 的取值范围是( ) A ．(1，2)B ．(－1，2)C ．[1，2)D ．[－1，2)二、填空题：本题共4小题，每小题5分，共20分。

山西大学附中2020—2021学年第二学期高三年级3月模块诊断数 学 试 题（文）考查时间：120分钟 满分：150分 考查内容：高中全部命题人：岳双珊 审核人：高三数学组一．选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．设集合2{|40},{|20}A x x B x x a =-≤=+≤，且{|21}A B x x ⋂=-≤≤，则a =A ．–4B ．–2C ．2D ．42．设复数z 满足3(1)3z z i =--，则下列说法正确的是A ．z 的虚部为2iB ．z 为纯虚数C ．z =D ．在复平面内，z 对应的点位于第二象限3．若抛物线22y px =（0p >）上的点()0,2A x -到其焦点的距离是点A 到y 轴距离的2倍，则p 等于A ．2B ．4C ．6D ．84．据《乾陵百迷》记载：乾陵是陕西关中地区唐十八陵之一，位于乾县县城北部的梁山上，是唐高宗李治和武则天的合葬墓．乾陵是目前保存最完好的一座帝王陵墓．1961年3月被国务院公布为第一批全国重点文物保护单位．乾陵气势雄伟，规模宏大．登乾陵需要通过一段石阶路，石阶路共526级台阶（各台阶高度相同．．．．．．．）和18座平台，宽11米，全路用32000块富平墨玉石砌成．右阶有许多象征意义．比如第一道平台的34级台阶，象征唐高宗李治在位执政34年，第二道平台的21级台阶，象征武则天执政21年……第九道平台的108级台阶，象征有108个“吉祥”现已知这108级台阶落差高度为17.69米，那么乾陵石阶路526级台阶的落差高度约为A ．86.2米B ．83.6米C ．84.8米D ．85.8米5．已知ABC ∆的内角A ，B ，C 对应的边长分别为a ，b ，c ，4a =，7cos 225A =-，则ABC ∆外接圆半径为 A ．5B ．3C ．52D ．32 6．若等比数列{}n a 满足232a a +=，246a a -=，6a =A ．32-B ．8-C ．8D ．647．已知0.694,log 8,ln2a b c ===，则 A ．c a b << B ．c b a << C ．b c a << D ．a c b <<8．某调查机构对全国互联网行业进行调查统计，得到整个互联网行业从业者年龄分布饼状图，90后从事互联网行业岗位分布条形图，则下列结论错误的是注：90后指1990年及以后出生，80后指19801989-年之间出生，80前指1979年及以前出生.A ．互联网行业从业人员中从事技术和运营岗位的人数占总人数的三成以上B ．互联网行业中从事技术岗位的人数超过总人数的20%C ．互联网行业中从事运营岗位的人数90后一定比80前多D ．互联网行业中从事技术岗位的人数90后一定比80后多9．甲、乙、丙做同一道题，仅有一人做对.甲说：“我做错了.”乙说：“甲做对了.”丙说：“我做错了.”如果三人中只有一人说的是真的，以下判断正确的是A ．甲做对了B ．乙做对了C ．丙做对了D ．以上说法均不对10．已知双曲线22221(0,0)x y a b a b-=>>的左､右焦点分别为12,F F ，过1F 的直线与双曲线的左､右两支分别交于,A B 两点，若2ABF ∆为等边三角形，则双曲线的离心率为A 3B 5C 7D ．311．如图是函数()sin(2)()2f x A x πϕϕ=+图象的一部分，对不同的12,[,]x x a b ∈，若12()()f x f x =，有12()3f x x +A ．()f x 在5(,)1212ππ-上是减函数B ．()f x 在5(,)36ππ上是减函数C ．()f x 在5(,)1212ππ-上是增函数D ．()f x 在5(,)36ππ上是减函数 12．已知函数321()(0)3f x ax x a =+>，若存在实数0(1,0)x ∈-，且012x ≠-，使()012f x f ⎛⎫=- ⎪⎝⎭，则实数a 的取值范围为 A ．2,53⎛⎫ ⎪⎝⎭B ．2,3(3,5)3⎛⎫⋃ ⎪⎝⎭C ．18,67⎛⎫ ⎪⎝⎭D ．18,4(4,6)7⎛⎫⋃ ⎪⎝⎭二、填空题：本题共4小题，每小题5分，共20分。

一、单选题：本题共8小题，每小题5分，共40分。

在每小题给出的选项中，只有一项是符合题目要求的。

1.i 是虚数单位，，则复数z 的模等于( )2023年山西大学附属中学校高三下学期3月模块诊断数学试题A. 1B.C.D. 22.已知集合，，则( )A. B. C. D.3.已知a ，，则是的( )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4.函数在下列哪个区间上单调递增( )A.B.C.D.5.已知双曲线，若对任意实数m ，直线与C 至多有一个交点，则C 的离心率为( )A.B.C.D. 6.考察下列两个问题：①已知随机变量，且，，记；②甲、乙、丙三人随机到某3个景点去旅游，每人只去一个景点，设A 表示“甲、乙、丙所去的景点互不相同”，B 表示“有一个景点仅甲一人去旅游”，记，则( )A.B.C.D.7.如图，在正四棱柱中，，，动点P，Q分别在线段，AC 上，则线段PQ长度的最小值是 ( )A. B. C. D.8.已知，则( )A. B. C. D.二、多选题：本题共4小题，共20分。

在每小题给出的选项中，有多项符合题目要求。

全部选对的得5分，部分选对的得2分，有选错的得0分。

9.小明用某款手机性能测试APP对10部不同品牌的手机的某项性能进行测试，所得的分数按从小到大的顺序相等数据相邻排列排列为：81，84，84，87，x，y，93，96，96，99，已知总体的中位数为90，则( )A.B. 该组数据的均值一定为90C. 该组数据的众数一定为84和96D. 若要使该总体的标准差最小，则10.如图，棱长为2的正方体的内切球球心为O，分别是棱的中点，G在棱上移动，则( )A. 对于任意点G，平面B. 存在点G，使平面C. 直线的被球O截得的弦长为D. 过直线的平面截球O所得截面圆面积的最小值为11.将函数的图象向左平移个单位后得到函数的图象，若对，，且，则的可能取值为( )A. B. C. D.12.已知函数为自然对数的底数，过点作曲线的切线．下列说法正确的是( )A. 当时，若只能作两条切线，则B. 当，时，则可作三条切线C. 当时，可作三条切线，则D. 当，时，有且只有一条切线三、填空题：本题共4小题，每小题5分，共20分。

2019-2020学年山西大学附属中学高三英语三模试卷及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AIn his 402nd anniversary year, Shakespeare is still rightly celebrated as a great language master and writer. But he was not the only great master of play writing to die in 1616, and he is certainly not the only writer to have left a lasting influence on theater.While less known worldwide, Tang Xianzu is considered one of Chinas greatest playwrights and is highly spoken of in that country of ancient literary and dramatic traditions.Tang was born in 1550 inLinchuan,Jiangxiprovince. Unlike Shakespeare's large body of plays,poems and sonnets (十四行诗), Tang wrote only four major plays: The Purple Hairpin, Peony Pavilion (《牡丹亭》), A Dream under the Southern bough, and Dream of Handan. The latter three were constructed around a dream narrative, a way through which Tang unlocked the emotional dimension of human desires and ambitions and explored human nature beyond the social and political limits of that time.Similar to Shakespeare, Tang's success rode the wave of a renaissance (复兴) in theater as an artistic practice. As in Shakespeare'sEngland, Tang's works became hugely popular inChinatoo. During Tang'sChina, his plays were enjoyed performed, and changed. Kunqu Opera, a form of musical drama, spread from southernChinato the whole nation and became a symbol of Chinese culture. Combining northern tune and southern music, kunqu Opera was known for its poetic language, music, dance movements and gestures. Tang's works benefited greatly from the popularity of kunqu Opera, and his plays are considered classics of kunqu Opera.While Tang and Shakespeare lived in a world away from each other, there are many things they share in common, such e humanity of their drama, their heroic figures, their love for poetic language, a lasting popularity and the anniversary during which we still celebrate them.1. Why is Shakespeare mentioned in the first paragraph?A. To describe Shakespeare's anniversary.B. To introduce the existence of Tang Xianzu.C. To explain the importance of Shakespeare.D. To suggest the less popularity of Tang Xianzu.2. What's possibly one of the main theme of Tang's works?A. Social reality.B. Female dreams.C. Human emotions.D. Political environment.3. What does the author mainly tell us in Paragraph 4?A. The influence of Kunqu Opera on Tang's works.B. Tang's success in copying Shakespeare's styles.C. The way Kunqu Opera became a symbol of Chinese culture.D. Tang's popularity for his poetic language and music.BImust have always known reading was very important because the first memories I have as a child deal with books. There was not one night that I don’t remember mom reading me a storybook by my bedside. I was extremely inspired by the wonderful way the words sounded.I always wanted to know what my mom was reading. Hearing mom say, “I can’t believe what’s printed in the newspaper this morning,” made me want to grab it out of her hands and read it myself. I wanted to be like my mom and know all of the things she knew. So I carried around a book, and each night, just to be like her, I would pretend to be reading.This is how everyone learned to read. We would start off with sentences, then paragraphs, and then stories. It seemed an unending journey, but even as a six-year-old girl I realized that knowing how to read could open many doors. When mom said, “The C-A-N-D-Y is hidden on the top shelf,” I knew where the candy was. My progress in reading raised my curiosity, and I wanted to know everything. I often found myself telling my mom to drive more slowly, so that I could read all of the road signs we passed.Most of my reading through primary, middle and high school was factual reading. I read for knowledge, and to make A’s on my tests. Sometimes, I would read a novel that was assigned, but I didn’t enjoy this type of reading.I liked facts, things that are concrete. I thought anything abstract left too much room for argument.Now that I’m growing and the world I once knew as being so simple is becoming more complex, I find myself needing a way to escape. By opening a novel, I can leave behind my burdens and enter into a wonderful and mysterious world where I am now a new character. In these worlds I can become anyone. I don’t have to write down what happened or what technique the author was using when he or she wrote this. I just read to relax.We’re taught to read because it’s necessary for much of human understanding. Reading is an important part of my life. Reading satisfies my desire to keep learning. And I’ve found that the possibilities that lie within books are limitless.4. Why did the author want to grab the newspaper out of mom’s hands？A. She wanted mom to read the news to her.B. She couldn’t wait to tear the newspaper apart.C. She couldn’t help but stopmom from reading.D. She was eager to know what had happened.5. According to Paragraph 3, the author’s reading of road signs shows___________.A. her own way to find herselfB. her eagerness to develop her reading abilityC. her growing desire to know the world around herD. her effort to remind mom to obey traffic rules6. The author takes novel reading as a way to___________.A. explore a mysterious landB. develop an interest in learningC. get away from a confusing worldD. learn about the adult world7. What could be the best title for the passage？A The Pleasure of Reading B. Growing Up with ReadingC. The Magic of ReadingD. Reading Makes a Full ManCIn Copenhagen, an 8-year dream was realized when the first paid skiers took their runs down a one-third-mile course (路线)．They skied on what is possibly the greenestpower factory in the world．The factory is so clean and safe that designers were able to turn its buildings into a new center for social life．The waste-to-power factory itself opened in 2017 under the name Amager Bakke．Bjarke Ingels is the architect whosecompany came up with the idea eight years ago of designing a power plant building that would join mountain sports into its very nature．“It is the cleanest waste-to-energy power plant in the world．It is not only better for the environment, it is also moreenjoyable for the lives of its citizens.” Ingels says 97% of city people get their heating as a by-product of energy production．It comes from a system where the electricity, heating, and waste disposal (处理) are mixed into a single process．He dreams that it is also becoming an example that others can look to and say, “IfCopenhagencan do it why can' t we?"There are no hills in this island city, but now people can ski locally, while enjoying the best views ever seen of the harbor．Another thing missing hereis snow cover throughout the winter, so designers set up a kind of special "plastic grass" that provides the perfect friction (摩擦力) for downhill winter sports．In a country where 600, 000 skiers always had to travel to practice sking, to be able to finally ski in their backyard-and, all year round - is, as one skier said, “AMAZING．”The company hopes to see 300, 000 visitors enjoying the experience of Copen hill each year, with the ski slope costing $ 22 an hour or just $ 366 for a full season pass．Meanwhile, the city is one step closer to its final goal of becoming the world's first carbon-neutral city by 2025．We thinkit might be all “down hill” from here．8. How does the power factory produce electricity?A. By using oil．B. By using coal．C. By usingwind．D. By using waste．9. What' s Ingels' dream according to the passage?A. To make more tall buildings in different big cities．B. To help more skiers to ski in high mountains．C. There will be more green power factories in the world．D. More and more people will ski in the power factory．10. Where do the skiers ski in the power factory?A. On man-made snow．B. On man-made ice．C. On plastic grass．D. On real sand．11. The underlined part “it might be all 'downhill' from here" means that________.A. they will soon reach their final goalB. they will soon draw many visitorsC. they will produce more electricityD. they have difficulties reaching the goalDBritish anthropologists (人类学家) Russell Hill and Robert Barton of the University of Durham, after studying the results of one-on-one boxing, tae kwon do, Greco-Roman wrestling and freestyle wrestling matches at the Olympic Games, conclude that when two competitors are equally matched in fitness and skill, the athlete wearing red is more likely to win.Hill and Barton report that when one competitor is much better than the other, colour has no effect on the result. However, when there is only a small difference between them, the effect of colour is enoughtipthe balance.The anthropologists say that the number of times red wins is not simply by chance, but that these results are statistically significant.Joanna Setchell, a primate (灵长目动物) researcher at the University of Cambridge, has found similar results in nature. She studies the large African monkeys known as mandrills. Mandrills have bright red noses that stand out against their white faces. Setchell’s work shows that the powerful males — the ones who are more successful with females — have a brighter red nose than other males.As well as the studies on primates by Setchell, another study shows the effect of red among birds. In an experiment, scientists put red plastic rings on the legs of male zebra finches and this increased the birds’ success with female zebra finches, Zebra finches already have bright red beaks (鸟喙), so this study suggests that, as with Olympic athletes, an extra flash of red is significant. In fact, researchers from theUniversityofGlasgowsay that the birds’ brightly coloured beaks are an indicator of health. Jonathan Blount, a biologist, andhis colleagues think they have found proof that bright red or orange beaks attract females because they mean that the males are healthier. Nothing in nature is simple, however, because in species such as the blue footed booby, a completely different colour seems to give the male birds the same advantage with females.Meanwhile, what about those athletes who win in their events while wearing red? Do their clothes give them an unintentional advantage? Robert Barton accepts that “that is the implication” of their findings. Is it time for sports authorities to consider new regulations on sports clothing?12. According to their research. Hill and Barton conclude that ________.A. the colour of clothing has an effect on most sport eventsB. red should be the choice of colour for clothing in sportsC. red plays a role when competitors are equally capableD. athletes perform better when surrounded by bright red13. The underlined word “tip” in Paragraph 2 is closest in meaning to ________.A. achieveB. advanceC. keepD. change14. The example of the blue footed booby proves that ________.A. male birds use different body parts to draw attentionB. red is not the only colour to attract female birdsC. blue gives female birds the same advantageD. blue can indicate how healthy a bird is15. What can be inferred from the passage?A. The colour red gives male animals the most advantage.B. Male zebra finches prefer to have red plastic rings on their legs.C. Rules on sports clothing are going to be changed.D. Athletes wearing red may have an advantage over their opponents.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2020年山西大学附属中学高三英语三模试题及参考答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AThe history ofpop art begins with abstract art. Pop art emerged from the foundation of abstract art in the 1950s, first gaining recognition in Great Britain, then establishing itself in the United States in the 1960s.In the 1930s and 1940s, abstract art was greatly popular, but people began to hate this art form. Most abstract art produced in this era could be found in art galleries or the homes of the elite(名流), not in the homes of everyday people. Pop art sprung onto the scene as the people's art.Some art critics say pop art is a rebellion against abstract art; others say it is an extension of abstract art. You can see elements of abstract art in many pop art prints, especially those that consist of a collage（拼贴画）of images. However, some pop art pieces have nothing to do with abstract art, looking more like a photo of a popular consumer item, which impressed people deeply.Richard Hamilton and Eduardo Paolozzi were two of the first contemporary pop art pioneers recognised in Great Britain. They were a part of the Independent Group, an organised group of British artists who wanted to challenge ruling modernist approaches to culture. They recognised the value of modern advertising and comic book images. They used these popular images in art as a social commentary, often building irony and humour into their artworks, thus creating a new form of art. These pieces were mass-produced and sold at affordable prices.When pop art took off in the United States, it expanded to include a celebration of kitsch and the common images found in movies and television. Andy Wharhol is perhaps the most famous American pop art artist, known for his prints of the actress Marilyn Monroe, the singer Elvis Presley and of Campbell's soup cans. Andy Wharhol was inspired by images from advertisements and common consumer items. He also made a series of paintings which showed images of car accidents.1. Why did people dislike abstract art?A. People found it hard to understand.B. Ordinary people couldn't afford it.C. People disliked enjoying it in galleries.D. It wasn't based on everyday life.2. What impression do pop art works leave on people?A. They are a rebellion against abstract art.B. They have many elements of abstract art.C. They are created so real.D. They are products of advertisers.3. The Independent Group was set up to ________.A. introduce a new art form to the worldB. develop modern advertising furtherC. create new comic book imagesD. make British culture better knownBDoctors are known to be terrible pilots. They don’t listen because they already know it all, I was lucky: I became a pilot in 1970, almost ten years before I graduated from medical school. I didn’t realize then, but becoming a pilot makes me a better surgeon. I loved flying. As 1 flew bigger, faster planes, and in worse weather, I learned about crew resource management (机组资源管理), or CRM, a new idea to make flying safer. It means that crew members should listen and speak up for a good result, regardless of positions.I first read about CRM in 1980. Not long after that, an attending doctor and I were flying in bad weather. The controller had us turn too late to get our landing ready. The attending doctor was flying; I was safety pilot. He was so busy because of the bad turn, he had forgotten to put the landing gear (起落架) down. He was a better pilot—and my boss—so it felt unusual to speak up. But I had to: Our lives were in danger. I put aside my uneasiness sand said, we need to put the landing gear down now! That was my first real lesson in the power of CRM, and I’ve used it in the operating room ever since.CRM requires that the pilot/surgeon encourage others to speak up. It further requires that when opinions are from the opposite, the doctor doesn’t overreact, which might prevent fellow doctors from voicing opinions again. So when I’m in the operating room, I ask for ideas and help from others. Sometimes they’re not willing to speak up. But I hope that if I continue to encourage them, someday someone will keep me from landing gear up.4. What does the author say about doctors in general?A. They like flying by themselves.B. They are quick learners of CRM.C. They pretend to be good pilots.D. They are unwilling to take advice.5. The author deepened his understanding of the power of CRM when .A. his boss landed the plane too lateB. he was in charge of a flying taskC. he saved the plane by speaking upD. his boss operated on a patient6. In the last paragraph landing gear up probably means .A. following flying requirementsB. making a mistake that may cost livesC. listening to what fellow doctors sayD. overreacting to different opinions7. Which of the following can be the best title for the text?A. CRM: A New Way to Make Flying SafeB. A Pilot-Turned DoctorC. The Making of a Good PilotD. Flying Makes Me a Better DoctorCAn afternoon nap(午睡)is one of the joys of life, although too much napping could signal all is not well. In some cultures, people will have a daily nap — thisis fine. The warning comes when people start sleeping during the daytime, when they did not before. There is certainly a good reason to believe that daytime sleepiness — as in the Alzheimer's study — can be a marker of an underlying condition.For most people, napping during the day is mainly a sign that you are not getting enough sleep at night, says Dr. Neil Stanley, a sleep expert. "If you feel sleepy during the day, you should think about taking a nap. That is what the body needs — it doesn't need to be kept awake with caffeine, it needs sleep. "The feeling to notice is "sleepiness", he says, not "tiredness", which could be more psychological and linked to stress.So how do you nap well? The key thing, says Stanley, is how long your nap lasts. Choose either a 20-or 90-minute nap. "When you fall asleep, you'll quickly go through the lighter stages of sleep into your first period of deep sleep. You don't want to wake up in deep sleep because that's when you wake and feel worse than you did before. "Napping for 20 minutes means you will wake up before you go into deep sleep; napping for 90 minutes means you'll complete a sleep cycle.Once you factor in the time it takes to fall asleep — some people are better at napping than others but, says Stanley, "a healthy adult will fall asleep in between 5 and 12 minutes" — you can set an alarm, allowing a 30- to 40-minute period for a short nap, and up to two hours for a longer one.A good time to nap is during the body's natural dip in the afternoon, between 2 pm and 4 pm. "You don't really want to be napping much pastthatbecause then you are going to be eating into your night-time sleep," Stanley says. The point, he stresses, is to get good night-time sleep, which would ensure you probably don't need to nap at all.8. What does an afternoon nap indicate for most people?A. Caffeine addiction.B. Psychological stress.C. Insufficient night sleep.D. Potential physical illness.9. What is the key to a good nap?A. Duration.B. Surroundings.C. Health.D. Stages.10. What does the underlined word "that" in the last paragraph refer to?A. A 30- to 40- minute period.B. Between 2 pm and 4 pm.C. Between 5 and 12 minutes.D. A 20- to 90-minute period.11. Which of the following can be the best title for the text?A. Why to phase a napB. When to take a good napC. What to learn from a napD. How to have a successful napDIs homeschooling good or bad? That is a question that many parents ask themselves. In my opinion, homeschooled kids can give reliable answers.Kayla Murray, who lives inGreensboroNorth Carolina, started homeschooling almost eight years ago, after attending two local schools. “Homeschooling is school at home,” like the name says, but it’s not just that/ she says. “You're able to learn more and do more.”Having experienced learning at both school and home, Kayla says that she prefers the latter. “With homeschooling, I can do schoolwork in my pajamas, and no one cares,” she says, “you also have more chances. Earlier this year, my family and I were able to take a short vacation and go to an air show. My siblings and I get to take the day off for our birthdays. This year, I spent that time reading and playing the piano and guitar.”There are, however,drawbacksof being homeschooled, Kayla says, especially “the lack of people”. While she doesn't miss homework, al school, she did enjoy getting to see my friends every day.”Matthew Dimmette, also fromGreensboro, used to be a homeschooler. He now attends public high school. He says being homeschooled is quite different from going to public school. The differences depend on how you arc homeschooled and the things you do. “For me, it wasn't really different in terms of the classes but the school environment was a big change atter hearting at home. says Matthew.Talking about his homeschooling experience, Matthew says the best part of it was being able to learn what he wanted to. Yet the main disadvantage was that he couldn't do many experiments in homeschooling unless taking classes at different places. “My interest in science has been growing quickly in recent years, so I chose to goto public school,” he says.12. What does Kayla like about learning at home?A. She can spend her time more freely.B. She can always stay with her siblings.C. She can play the instruments she likes.D. She can celebrate her birthday at home.13. What does the underlined word “drawbacks” in Paragraph 4 probably mean?A. Concerns.B. Reasons.C. Changes.D. Problem.14. Why did Matthew choose to go to public school?A. He wanted to make more friends.B. He wanted to do experiments in labs.C. He wanted to take all kinds of classesD.He wanted to experience the school environment15. What in the authors attitude cowards homeschooling?A. Supportive.B. Doubtful.C. Uninterested.D. Unclear.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

山西大学附中2019～2020学年高三第二学期3月(总第十二次)模块诊断数学试题（理科）考试时间：120分钟 满分：150分一、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，只有一个是符合题题号 12 3 4 5 6 7 8 9 10 11 12 答案 DC A A B B A C B B A A 13． 37 ． 14． 1010 ． 15． 1.6 十万只． 16． (]11{2}1,1,2e e ⎛⎫-+-∞- ⎪⎝⎭U U ．三、解答题（本大题共6小题，共70分，解答应写出文字说明，证明过程或演算步骤.） 17．（本小题12分）解：（1）Q 2cos cos a c bC B-=． 由正弦定理，边化角得：2sin sin sin cos cos A C BC B-=，即2sin cos sin cos sin cos A B C B B C -=， 2sin cos sin()A B B C ∴=+，又A B C π++=Q ，sin()sin B C A ∴+=， 2sin cos sin A B A ∴=，又(0,)A π∈，sin 0A ≠，1cos 2B ∴=，又(0,)B π∈，3B π∴=；（2）3b =Q 3B π=，2221cos 22a c b B ac +-∴==，223a c ac ∴+-=，2()33a c ac ∴+=+，0a >Q ，0c >，2()4a c ac +∴„，∴223()()3334a c a c ac ++=++„，2()12a c ∴+„，又3b ∴323ac <+„ABC ∴∆周长的最大值为23333． 18．（本小题12分） 解：（1）证明：在AOC ∆中，2OA OC ==，22AC a ==222OA OC AC ∴+=， 90AOC ∴∠=︒，即AO OC ⊥，AO BD ⊥Q ，且AO BD O =I ，AO ∴⊥平面BCD ； （2）由（1）知，OC OD ⊥，以O 为坐标原点，OC ，OD 所在直线分别为x 轴，y 轴 建立如图的空间直角坐标系O xyz -，则(0,0,0),(0,23,0),(2,0,0),(0,23,0)O B C D -， AO BD ⊥Q ，CO BD ⊥，AOC ∴∠为二面角A BD C --的平面角，120AOC ∴∠=︒，∴(3),(1,23,3),(1,23,3)A AD BA -==-u u u r u u u r ，(2,23,0)BC =u u u r， 设平面ABC 的一个法向量为(,,)n x y z =r，则22302330n BC x n BA x y z ⎧=+=⎪⎨=-+=⎪⎩u u u r r g u uu r r g ，可取3(1,3)n =r ， 设直线AD 与平面ABC 所成角为θ，则||3sin 13||||1343AD n AD n θ===u u u r r g u u u r r ∴210sin 30cos 1,tan 13cos sin θθθθθ-==． 19．（本小题12分） 解：（1）由频率分布直方图得，成绩大于等于80的频率为（0.035+0.025）×10＝0.6， 则男生“安全通”的人数为20×0.6＝12人，则“非安全通”人数为8人； 由茎叶图可得，女生“安全通”的人数为6人，则“非安全通”人数为14人． 2×2列联表如图：男生 女生 合计 安全通 12 6 18 非安全通 8 14 22 合计202040∵K 2=40(12×14−6×8)220×20×18×12≈6.667＞3.841，∴有95%的把握认为是否是“安全通”与性别有关；（2）从该校随机抽取2男2女，抽到1名男生是“安全通”的概率为1220=35，抽到1名女生是“安全通”的概率为620=310．“安全通”的人数X 的取值分别为：0，1，2，3，4． 则P （X ＝0）=(1−35)2×(1−310)2=49625，P （X ＝1）=C 21×35×25×(710)2+(25)2×C 21×310×710=189625，P （X ＝2）=(35)2×(710)2+(25)2×(310)2+C 21×35×25×C 21×310×710=9812500，P （X ＝3）=(35)2×C 21×310×710+(310)2×C 21×35×25=4862500，P （X ＝4）=(35)2×(310)2=812500． ∴随机变量X 的分布列为：X 01 234P4962518962598125004862500812500∴E （X ）＝0×49625+1×189625+2×9812500+3×4862500+4×812500=95．20．（本小题12分）解：（1）依题意可得2c b a ==，所以2222222212c a b a a a a --===，解得2a =，所以椭圆的方程是22142x y +=；（2）法一：设1(A x ，1)y ，(D D x ，)D y ，则1(B x -，1)y -，1(E x ，0)，直线BE 的方程为111()2y y x x x =-，与22142x y +=联立得2222111211(1)4022y y y x x x x +-+-=， 因为D x ，1x -是方程的两个解，所以212211122211121482()2(1)2D y y x x x y x y x ---==++g ，又因为2211142x y +=，所以21121838D y x x y -=-，代入直线方程得312138D y y y -=-，∴3112211122111112138241838AB ADy y y y y k k y x x x x y +--===----g g ，所以AB AD ⊥，即ABD ∆是直角三角形；（2）法二：设1(B x ，1)y ，2(D x ，2)y ，则1(A x -，1)y -，1(E x -，0)设直线BD 的方程为y kx m =+，与22142x y +=联立得222(12)4240k x kmx m +++-=，∴122412kmx x k +=-+，2121212112()()212AD y y kx m kx m m k k x x x x x x k ++++===+=-+++，112BE y k k x ==，112ABy k k x ==， 所以1AB AD k k =-g ，所以AB AD ⊥，即ABD ∆是直角三角形；（2）法三：设1(B x ，1)y ，2(D x ，2)y ，则1(A x -，1)y -，1(E x -，0)设112BD BEy k k k x ===，则112AB y k k x ==，∴2221212122212121AD BD y y y y y y k k x x x x x x +--==+--g g ， 因为1(B x ，1)y ，2(D x ，2)y 在椭圆上，满足椭圆方程，所以22222121222221211(42)(42)2AD BD y y y y k k x x y y --===-----g ， 所以12AD k k=-，所以1AB AD k k =-g ，所以AB AD ⊥，即ABD ∆是直角三角形． 21．（本小题12分）解：（1）设()(0)a f x a x =≠，则cos ()a x g x b x =+，∴2(sin cos )()a x x x g x x -+'=又直线62y x π=-+的斜率为6π-，过点(,1)2π-，∴26()2a g πππ-'==-，3a ∴=，又()12g b π==-，∴3cos ()1xg x x=-．（2）函数()F x 在(0，2]π上有3个零点，证明如下：证明：33cos 3()()122x F x g x x ππ=+-=-，则23(sin cos )()x x x F x x -+'=，又33()0,()06222F F ππππ=->=-<，()F x ∴在(0,]2π上至少有一个零点，()F x Q 在(0,]2π上单调递减，()F x ∴在(0,]2π上有一个零点．当3(,)22x ππ∈时，cos 0x <，故()0F x <，∴函数()F x 在3(,)22ππ上无零点；当3[,2]2x ππ∈时，令()sin cos h x x x x =+，()cos 0h x x x '=>，()h x ∴在3[,2]2ππ上单调递增，又3(2)0,()02h h ππ><，∴03(,2)2x ππ∃∈，使得()F x 在03[,]2x π上单调递增，在0(x ，2]π上单调递减，Q 3(2)0,()02F F ππ=<，()F x ∴在3[,2]2ππ上有2个零点，综上，函数()F x 在(0，2]π上有3个零点请考生在22、23两题中任选一题作答，如果多做，则按所做的第一题记分. 22．（本小题10分）选修4-4：坐标系与参数方程解：（1）直线l 的参数方程为(42x tt y t=⎧⎨=-⎩为参数）．转换为直角坐标方程为42y x =-．曲线C 的极坐标方程为2221cos ρθ=+．转换为直角坐标方程为2212y x +=．（2）设曲线上任一点的坐标为(cos )θθ到直线240x y +-=的距离d ==，当且仅当sin()1θα+=23．（本小题10分）选修4-5：不等式选讲解：（1）3,2()2|1||2|4,123,1x x f x x x x x x x >⎧⎪=++-=+-⎨⎪-<-⎩剟， ()6f x Q „，∴362x x ⎧⎨>⎩„或4612x x +⎧⎨-⎩„剟或361x x -⎧⎨<-⎩„， x ∴∈∅或12x -剟或21x -<-„，22x ∴-剟， ∴不等式的解集为{|22}x x -剟．（2）由（1）知，()(1)3min f x f =-=，25ab a b m ∴++=+=．0a >Q ，0b >，25()2a b ab a b a b +∴=++++„，2()4()200a b a b ∴+++-…，2a b ∴+-+…2a b +--„)，当且仅当1a b ==-+ a b ∴+的最小值为2-+。

绝密★启用前山西大学附属中学2020届高三毕业班下学期模块诊断考试(总第十一次)英语试题(解析版)2020年3月考试时间：100分钟考察范围：高考范围第一部分阅读理解（共两节，满分60分）第一节 (共15小题；每小题 3分，满分45 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。

ALos Angeles is always a popular holiday destination. To fully enjoy your travel there, you should know its food, weather, and also traffic. While driving in L. A. is similar to that in other areas, there are a few specific rules to note.HOV lanes (车道)On many L. A. freeways, one or more lanes at the far left are used as high-occupancy vehicle (HOV) lanes. They usually have limited access and you can only enter or exit where there is a break in the double yellow line. Most HOV lanes require a minimum of two people in the car; some require three. Vehicles towing trailers (拖车) are NOT allowed in the HOV lane, regardless of how many people are in them.Toll (收费) lanesOn certain freeways, the HOV lanes are double-purposed as toll lanes for people driving alone who have a FasTrak, an electronic toll collection system. Therefore, you also have to have one in that lane as a HOV, which is inconvenient if you’re just visiting. FasTrak is in effect on partsof the 110 freeway between the 405 and 10 freeways, and on parts of the 10 freeway east of Downtown L. A.Cell phonesIt is against the law to talk on a cell phone while driving without using a hands-free device. Holding a cell phone to your ear while driving will land you with a ticket.AlcoholDriving under the influence is taken seriously in L.A. The legal blood alcohol limit is 0.08%, but you can be charged with lower levels if they show you can’t function normally. Placing an opened bottle of alcohol in the passenger area while driving (or sitting) is illegal. Any opened container of alcohol has to be transported in the trunk.1. What do you know about HOV lanes?A. They encourage people to share cars.B. They are on the far right of freeways.C. They are intended for larger vehicles.D. They allow cars to enter over the double yellow line.2. Which is surely against the road rules in L. A.?A. Driving on the 110 freeway with a FasTrak.B. Putting the cell phone in the car while driving.C. Riding with an opened bottle of alcohol in back seats.D. Going below the blood alcohol limit of 0. 08%.3. Where is the text most probably taken from?A. A traffic law.B. A road map.C. A guidebook.D. A report.【答案】1. A 2. C 3. C【解析】本文是一篇说明文。

2019-2020学年山西大学附属中学高三英语三模试题及答案第一部分阅读（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A、B、C、D四个选项中选出最佳选项AWashingtonD.C.SightseeingWith the information below, you’re not missing anything in D.C.! Click Here to find the perfect hotel for your stay as well.TheOldTownTrolley TourIt offers something for the whole family. Not only will it give them something fun to do, but it will give them a history lesson. This tour will last about three hours and it’s proper for people of all ages.African American History TourBe sure to take this tour because African Americans have had an important role in the making of our country. Take this historical four-hour tour, where you will visit some important sites includingMuseumofAfrican American Historyand Culture.Comedy WalksWashingtonD.C.This is a great experience allowing you to enjoy the capital in a new way. The walking tour lasts for about one hour and thirty minutes, which takes place in less than a mile journey from the starting place.D.C. Twilight TourCheck out the D.C. Twilight Tour for a unique view of some of the most famous sites! What makes this two-hour guided tour truly unique is that you can view many wonderful sites at night time!1. Which tour is recommended to a tourist who is fond of hiking?A. TheOldTownTrolley TourB. African American History TourC. Comedy WalksWashingtonD.C. D. D.C. Twilight Tour2. Which tour lasts longest?A. TheOldTownTrolley TourB. African American History TourC. Comedy WalksWashingtonD.C. D. D.C. Twilight Tour3. Where will you read this text most likely?A. In a guidebook.B. In a magazine.C. In a newspaper.D. On the Internet.BAnOntarioteen is making waves by turning old fishing gear into new treasures. Since last year, Natalie, 15, hasbeen taking lost or thrown — away fishing nets and rope and transforming them into bracelets, rope art, mats, baskets and necklaces.Last year, Natalie was working on an assignment for her science, technology, engineering and mathematics (STEM) class. As part of the assignment, she learned about “ghost nets”, which are fishing nets that have been left or lost in the ocean by people who fish.“They have huge effects on our environment. They can kill coral reefs and many animals,” said Natalie. “46 percent of the Pacific garbage is ghost gear.” The Great Pacific Garbage is a huge collection of trash floating in the Pacific Ocean betweenHawaiiandCalifornia.Natalie told her mom she wanted to do something to help. She got in touch with a handful of charities, including the Sea Protection Society and Coastal Action.After getting some shipments of ghost nets and rope from those organizations, Natalie, with the help of her family, started turning thediscardedgear into new artworks. “We've made bracelets, rope art, mats, baskets, and we've made necklaces, which also use beach glass in them,” she said. Natalie then started selling the artworks online, the crafty buying and selling website.She donated all her profits-minus a small sum of change to cover supplies — to the charities that donated fishing supplies to her. She's also been donating all the income from her non-profit business, called Nautical Waters, to charity. Natalie said she hoped to continue her passion for ocean life, with plans to study marine biology in university.4. How did Natalie help with ghost nets?A. By turning them into artworks.B. By asking support from her mother.C. By collecting money from charities.D. By selling ghost nets at a good price.5. What made Natalie decide to do something with ghost nets?A. To collect supplies for the artworks.B. To prepare for her study in university.C. To protect coral reefs and marine animals.D. To complete an assignment for her STEM class.6. What docs the underlined word “discarded" in Paragraph5refer to?A. Polluted.B. Rare.C. Waste.D. Discovered.7. What is the best title for the text.A. Ghost Nets Ready forSaleB. Charities Make a Big DifferenceC. Natalie's Passion for Ocean TreasuresD. TeenTurnsOld Fishing Nets into ArtworksC"Sorry, but I don't agree with you..."This is usually followed by unbearable silence and angry tears. I've always found it difficult to disagree with someone, because I don't want to lose a friend. I've found it even harder to accept it when someone disagrees with me, because my ego（自尊心）ishurt.Before the other person gets a chance to explain why she disagrees with me, my usual response would be," If you aren't able to see my point of view, then what you think isn't worth my time or consideration, either." But now I've come to realize that when a friend disagrees with me, sometimes she is simply saying, "I don't agree with the way things are done." She still respects me as a person, and is only pointing out a better way to look at a matter. However, there may be times when my friend disagrees with me because I'm against the truth. That's when need to listen to what she says.I've learned that one way to help my friend is for me to be open and honest with the other to voice my thoughts and listen to the other carefully. While we can't control how a person will respond to our views, we must learn to disagree with our friends in love. We will never feel that we are better than the other person.And that will help us to be less emotional, and more objective in the way we express our opinions.In the same way, we can also stay open to feedback（反馈）from others,knowing that our friends may be correcting us in love.Good friendships build each other up, sometimes through disagreements and honest opinions. Though I don't like being disagreed with, I'm starting to see the value of such disagreements.8. The author has found it difficult to disagree with someone because .A. he is a friendly personB. he usually hides his ideasC. he has no mind of his ownD. he wants to keep the friendship9. When a friend disagreed with him,the author used to .A. be unhappyB. argue with the friendC. break up with the friendD. explain things calmly10. The author will listen to a friend when .A. he is against the truthB. he doesn't tell the truthC. he is respected by a friendD. he does things in the wrong way11. What does the author mainly talk about in the text?A. How to keep friendship.B. How to avoid hurting a friend.C. How to express disagreements.D. How to deal with disagreements.DIn a recent survey of 2000 Americans, housecleaning was shown to have some mood-boosting effects — but that doesn't mean everybody is willing to do it.The majority of respondents (受访者) said cleaning gave them a sense of accomplishment (65%) and helped them clear their mind (63%). Half of these adults said they are most often motivated to clean when they're happy. In fact, 63% of those surveyed find the experience of cleaning to be relaxing - even more so than getting fresh air (61%).But that's not the only reason people clean. A big 70% admitted that tidying their home was a way of putting off having to do other things, with the average procrastinator (拖延者) using that trick four times a week. The survey showed that 86% of respondents do feel on top of their housework, but the last deep clean of their kitchen happened over a week and a half ago. That's no surprise because the kitchen is most terrible of all.Conducted by OnePoll on behalf of DishFish, the survey investigated people's attitudes toward dirty dishes and how they get through tricky task. More than two-thirds of people (69%) let their dishes pile up between washings with 20% saying “always” letting them be placed in the sink, which left them feeling stressed. More than any other room, the kitchen was rated as “very difficult” to cope with. And most people enjoy cleaning their toilet or taking out the garbage more than washing dishes by hand.How do they get through it? 66% listen to music while they clean. 72% have a best-loved song that they sounded while tidying up their home, with “Uptown Funk,”“Read All About It” and “Work” being the three favorite tunes on America's cleaning playlist.12. What is the result of the survey?A. Housecleaning may contribute to a good mood to some extent.B. Housecleaning may strengthen people's willingness to volunteer.C. Housecleaning may cause anxiety and concern for some people.D. Housecleaning may improve people's motivation to other housework.13. What is the top reason why people undertake housecleaning?A. They can entertain themselves.B. They can take in fresh air.C. They get a sense of achievement.D. They can delay other things.14. What are respondents' attitudes to dirty dishes?A. Many would rather wash dishes than throw out the rubbish.B. Half are under pressure with dirty dishes lying in the sink.C. A quarter will let dirty dishes pile up after their meals.D. Most prefer cleaning their toiletto washing dishes by hand.15. What column does the text belong to?A. Feature Story.B. Family Life.C. Scientific Hotspot.D. Finance Focus.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

山西大学附中2019-2020学年高三第二学期模块诊断英语试题答案阅读：1-3 ACB 4-7DDAB 8-11DABB 12-15 BCAD 16-20 CFAEG完形：21-25 CBDAB 26-30 ACDAB 31-35 BDDAB 36-40 BCDAD语法填空：41. realizing 42. resources 43.have begun 44. national 45. with46. is 47. who / that 48. an 49. to fill 50. required短文改错：Dear Mike,I’m very glad to receive the letter you sent me. I have been thinking∧the question youaboutasked me. From my point of view, you can come to China after finishedyour studies.finishingFor the one reason, Chin a’s development offers a number of job opportunity for the young.opportunitiesWhat’s more, what you are studying is bad needed in China nowadays. In fact, many bigbadlycompanies in our city are hoping to hire people like me.youFor another reason, China is a country with such different culture as many foreigners enjoythat living and working here. Why not come but join them? If you camehere, I will do how I can toand come whathelp you.书面表达:Dear Jenny,How is your survey on mobile payment going? I’m glad I can help with it.It is generally believed that China is the largest mobile payment market. Nowhere else is the cashless trend more obvious than in China. Most of us are used to paying by scanning QR codes whatever we buy—books, clothes, and electronic devices, to name a few, which is a glimpse into the life of most Chinese like me and my family.With the widespread use of mobile payment, Wechat or Alipay is the most convenient and safest way to pay. We rarely need to carry a wallet or cash at all. Besides, never will we worry about getting fake notes or having to count change. In short, mobile payment has greatlychanged people's life in China.Personally, I think mobile payment should be encouraged. First, it has won over consumers with its convenience. Another advantage is that there are often discounts if you make mobile payment, as major online payment platforms are competing to have more consumers use their service.I hope my explanation can be of some help to you. Wish you good luck.Yours faithfully,Li Hua。