山西大学附属中学2016-2017学年高三第一学期9月(总第一次)模块诊断 化学标准答题纸
【全国百强校】山西省山西大学附属中学2016届高三9月模块诊断考试生物试题解析(解析版)
（考试时间：80分钟；满分：100分）一、选择题（每题1分，共40分）1．在一定浓度的CO2和适宜温度条件下，测定不同光照条件下，放有某双子叶植物叶片的密闭装置中CO2的变化量，结果如下表。
分析表中数据，不正确的推论是：（）A．光照强度为1 klx时，光合作用吸收的CO2少于呼吸作用释放的CO2B．光照强度为2 klx时，该植物光合作用速率为0C．光照强度由5 klx增至7 klx时，叶肉细胞中C3化合物合成速率增大D．光照强度为9 klx时，叶绿体中色素的含量可能是限制植物光合作用速率的内因【答案】B【考点定位】光合作用与呼吸作用。
【名师点睛】①绿色植物每时每刻都在进行细胞呼吸，在光下测定的放有某双子叶植物叶片的密闭装置中CO2的变化量表示的是呼吸作用释放的CO2量与光合作用吸收的CO2量的差值，若该值大于0，说明呼吸作用速率大于光合作用速率，反之则小于光合作用速率。
②理清光反应和暗反应的区别和联系③限制植物光合作用速率的内因是叶绿体中色素的含量、酶的数量及活性等，外因是光照强度、CO2浓度等。
2．某哺乳动物的基因型为AABbEe，右图是其一个精原细胞在产生精子细胞过程中的某个环节的示意图，据此可以判断：（）A．图示细胞为次级精母细胞，细胞中含一个染色体组B．该精原细胞产生的精子细胞基因型有ABe、aBe、AbEC．图示细胞中，a基因来自于基因突变或基因重组D．三对基因的遗传遵循自由组合定律【答案】B在减数第二次分裂结束时，图示的次级精母细胞形成的两个精子细胞的基因型为ABe、aBe，另一个次级精母细胞形成的两个精子细胞的基因型为AbE、AbE，所以该精原细胞产生的精子细胞基因型有3种：ABe、aBe、AbE，B项正确；因该哺乳动物的基因型为AABbEe，所以图示细胞中，a基因只来自于基因突变，C项错误；基因的自由组合定律，研究的是位于非同源染色体上的非等位基因在传种接代中的传递规律，而基因A与B （或b）位于同一对同源染色体上，D项错误。
【全国百强校】山西省山西大学附属中学2016届高三上学期模块诊断考试生物试题解析(解析版)
（考试时间：90分钟；满分：100分）一、选择题（每题2分，共60分）1.下列关于细胞的分子组成和基本结构的阐述，错误的是( ) A．C、H、O、N、P是ATP、质粒、光合膜共有的化学元素B．线粒体、核糖体、染色体、叶绿体等结构中都含有DNAC．糖蛋白、载体蛋白、抗体、限制性内切酶都是具有特异性识别的物质D．脂质中的磷脂是构成细胞膜的重要物质，所有细胞都含有磷脂B【答案】【名师点睛】2. 下列关于细胞结构和功能的叙述中，正确的是（）A．吞噬细胞与肌肉细胞相比，溶酶体的含量较多B．线粒体是有氧呼吸的主要场所，在其中生成的产物有丙酮酸、二氧化碳和水C．叶绿体是所有生物进行光合作用的场所，含有DNA、蛋白质和磷脂等成分D．能形成囊泡的细胞结构只有内质网和高尔基体【答案】A【考点定位】细胞结构和功能【名师点睛】3. 图甲和乙反映物质进出细胞的两大方式，下列叙述正确的是：A.抑制细胞呼吸，对图甲所示类型无影响，而对图乙类型有影响B.依据物质浓度梯度，只要顺浓度梯度的运输就是图甲类型中的自由扩散C.依据是否需要载体，需要载体的运输就是图甲类型中的协助扩散D.依据跨膜的层数，图乙方式的跨膜层数为0【答案】D【考点定位】物质的输入与输出【名师点睛】物质跨膜运输的三种方式的异同：物质非跨膜运输包括胞吞、胞吞，是耗能过程4．下列有关ATP的叙述，都不正确的一组是( )①哺乳动物成熟的红细胞中没有线粒体，不能产生ATP②植物细胞产生的ATP，均可用于一切生命活动③ATP中的能量可来源于光能、化学能，也可以转化为光能和化学能④ATP和RNA具有相同的五碳糖⑤在有氧和缺氧的条件下，细胞质基质都能形成ATP⑥ATP分子中的两个高能磷酸键稳定性不同⑦ATP中的“A”与构成DNA、RNA中的碱基“A”表示相同物质⑧ATP与绝大多数酶的组成元素不存在差异A．①②⑦⑧ B．①②③④ C．⑤⑥⑦⑧ D．③④⑤⑥【答案】A【考点定位】ATP在能量代谢中的作用【名师点睛】ATP的去向5. 有关光合作用和有氧呼吸产生的[H]的说法，不正确的是( )A. 光合作用产生的[H]来源于水的光解，有氧呼吸产生的[H]来源于葡萄糖和丙酮酸的分解B. 光合作用的[H]在叶绿体囊状结构薄膜上产生，有氧呼吸的[H]在线粒体中产生C．光合作用和有氧呼吸产生的[H]不同，前者是NADPH,后者主要是NADHD．光合作用产生的[H]用于暗反应还原三碳化合物,有氧呼吸产生的[H]用于与氧气结合成水【答案】B【解析】有氧呼吸的[H]在细胞质基质和线粒体基质中产生，B错误；ABD叙述正确。
山西省山西大学附属中学高三物理上学期月模块诊断试题
v/m﹒s-1t/s1 2 31图2-14山西大学附中2018-2019学年高三第一学期9月月考物理试题一、单选题（共6小题，每小题4分，共24分，每小题只有一个正确答案，答对得4分，错选或不选得0分）1、物体A、B都静止在同一水平面上，它们的质量分别为m A、m B，与水平面间的动摩擦因数分别为μA、μB，用水平拉力F拉物体A、B，所得加速度a与拉力F关系图线如图中A、B所示，则（）A．μA＝μB，m A＞m B B．μA＞μB，m A＜m BC．可能有m A＝m B D．μA＜μB，m A＞m B2、如图2所示图是物体做直线运动的v-t图象，由图可知，该物体A．第1s内和第3s内的运动方向相反B．第3s内和第4s内的加速度相同C．第1s内和第4s内的位移大小不相等D．0~2s和0~4s内的平均速度大小相等3、用轻弹簧竖直悬挂质量为m的物体，静止时弹簧伸长量为L/2。
现用该弹簧沿斜面方向拉住质量为2 m的物体，系统静止时弹簧伸长量为L。
斜面倾角为30°，如图所示。
则物体所受摩擦力( )A．等干零 B．大小为mg，方向沿斜面向下C．大小为32mg，方向沿斜面向上D．大小为mg，方向沿斜面向上4、.测速仪安装有超声波发射和接收装置,如图所示,B为测速仪,A为汽车,两者相距335 m,某时刻B发出超声波,同时A由静止开始做匀加速直线运动.当B接收到反射回来的超声波信号时,AB相距355 m,已知声速340 m/s,则汽车的加速度大小为 ( )A. 10 m/s2B. 20 m/s2C. 5 m/s2D. 无法确定OaFABA BCFa b5、如图所示，两根直木棍AB和CD相互平行，斜靠在竖直墙壁上固定不动，第一次使水泥圆筒从木棍的上部以一定初速度滑下，恰能做匀速运动，若保持两木棍倾角不变，将两者间的距离稍增大后固定不动，第二次仍将水泥圆筒放在两木棍的上部，使其以同样初速度下滑，则与第一次相比（）A．每根木棍对圆筒的支持力变大，摩擦力不变B．每根木棍对圆筒的支持力变小，摩擦力变小C．圆筒仍能匀速下滑D．圆筒将沿木棍减速下滑6、如图所示,物体A B C放在光滑水平面上用细线a、 b连接,力F作用在A上,使三物体在水平面上运动,若在B上放一小物体D，D随B一起运动,且原来的拉力F保持不变,那么加上物体D后两绳中拉力的变化是( )A.T a增大B.T b增大C.T a变小D.T b不变二、多选题（共6小题，每小题6分，共36分，全部答对得6分，漏选的得3分，错选或不选得0分）7、.如图所示，竖直光滑杆上套有一个小球和两根弹簧，两弹簧的一端各与小球相连，另一端分别用销钉M、N固定于杆上，小球处于静止状态，设拔去销钉M瞬间，小球加速度的大小为12m/s2，若不拔去销钉M而拔去销钉N瞬间，小球的加速度可能是（取g=10m/s2）（）A．22m/s2，竖直向下 B．22m/s2，竖直向上C．2m/s2，竖直向上 D．2m/s2，竖直向下8、如图所示，轻质不可伸长的晾衣绳两端分别固定在竖直杆M、N上的a 、b两点，悬挂衣服的衣架钩是光滑的，挂于绳上处于静止状态。
山西大学附中2017届高三上学期9月月考物理试题(含答案)
山西大学附中2016-2017学年高三第一学期9月（总第一次）模块诊断物理试题考查时间:80分钟考查内容：高考考纲涉及全部内容一、选择题(本题共12小题,每小题4分，共48分。
在每小题给出的四个选项中，第1~6题只有一个选项正确，第7~12题有多个选项正确,全部选对得4分,选对但不全得2分,有错或不答得0分)。
1、在地面上方某一点将一小球以一定的初速度沿水平方向抛出，不计空气阻力，则小球在随后的运动中，在相等的时间间隔内，速度的改变量总是:A．大小相等，方向相同； B．大小不等，方向不同；C．大小相等，方向不同； D．大小不等，方向相同；2、如图所示，有5000个质量均为m的小球，将它们用长度相等的轻绳依次连接，再将其左端用细绳固定在天花板上，右端施加一水平力使全部小球静止。
若连接天花板的细绳与水平方向的夹角为45°。
则第2011个小球与2012个小球之间的轻绳与水平方向的夹角α的正切值等于A．29895000B．20115000C．20112089D．208920113、预计2020年前发射的嫦娥四号登月探测器，简称“四号星”，是嫦娥三号的备份星。
我国嫦娥四号任务将实现世界首次月球背面软着陆，着陆月球表面后，继续更深层次更加全面地科学探测月球地质、资源等方面的信息，完善月球的档案资料。
若“嫦娥四号”卫星着陆前环月工作轨道为圆轨道,轨道高度为H,运行周期为T，.若还知道引力常量G和月球平均半径R,仅利用以上条件不能求出的是（）A.月球表面的重力加速度B.月球对卫星的吸引力C.卫星绕月运行的速度D.卫星绕月运行的加速度4、图是质谱仪的工作原理示意图。
带电粒子被加速电场加速后，进入速度选择器。
速度选择器内相互正交的匀强磁场和匀强电场的强度分别为B和E。
平板S上有可让粒子通过的狭缝P和记录粒子位置的胶片A1A2。
平板S下方有强度为B0的匀强磁场。
下列表述不正确的是A．质谱仪是分析同位素的重要工具B．速度选择器中的磁场方向垂直纸面向外C．能通过的狭缝P的带电粒子的速率等于E/BD．粒子打在胶片上的位置越靠近狭缝P，粒子的比荷越小5、图甲中理想变压器原、副线圈的匝数之比n1∶n2＝5∶1，电阻R＝20Ω，L1、L2为规格相同的两只小灯泡，S1为单刀双掷开关。
山西省太原市山西大学附中高三第一学期9月(总第一次)模块诊断英语考试试题.doc
山西省太原市山西大学附中高三第一学期9月〈总第一次》模块诊断英语试题考查时间：100分钟考查内容：高考内容第一部分阅读理解（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。
AI used to think of myself as a fairly open person, but my bookshelves told a different story. Apart from a few Indian novels and the Australian and South African book, my literature collection consisted of British and America n titles. Worse still, I hardly ever read any thing in translatio n. My reading was limited to stories by English-speaking authors.So, at the start of 2012,1 set myself the challenge of trying to read a book from every country in a year to find out what I was missing. As I was unlikely to find publications from nearly 200 nations on the shelves of my local bookshop, I decided to ask the plancf s readers for help・ I created a blog called A Year of Reading the World and put out an appeal for suggestions of titles that I could read in English・The response was amazing. Before I knew it, people all over the planet were getting in touch with ideas and offers of help. Some posted me books from their home countries・ Others did hours of research on my behalf. In addition, several writers sent me unpublished translations of their novels, giving me a rare opportunity to read works otherwise unavailable to the 62% of the British who only speak English・ Even so, selecting books was no easy task. With translations making up only around 4.5 percent of literary works published in the UK and Ireland, getting English versions of stories was difficultBut the effort was worth it. I found I was visiting the mental space of the storytellers. These stories not only opened my mind to the real life in other places, but opened my heart to the way people there might feel.And that in turn changed my thinking. Through reading the stories shared with me by bookish strangers ai-ound the globe, I realized I was not alone, but part of a network that spread all over the planet. （325 words）1.Which of the following might be found on the blog A Year of Reading the WorlcHA.Unfinished novels by British writers・B. Research on English literature・C・ Lists of English version books. D・ Comments on English literature・2.Why was it hard for the author to select the right books to read?A・ The author could only read books written in English・B.The author was only interested in a few topics.C.The author had a busy schedule.D.Most books recommended are not available in local bookshops・3.The author is probably from _________•A.AmericaB. CanadaC. AustraliaD. the UK4.Which of the following words can best describe the author's experience?A.fast and effortlessB. challenging but rewardingC. hopeless but beneficialD. meaningful but fruitlessJ BMy oldest child, Emma, just relumed to campus after a long holiday break to finish up her last period of college. These days, friends and family have begun flooding me with one question: What is she going to do after graduation?The job market is, after all, awfully tough. Just this month the Federal Reserve Bank published a study showing that "recent graduates are increasingly working in low・paid jobs or working part-time.^ The bright spot, according to the study, is for students who majored in STEM ——science, technology, engineering and mathematics — areas in which recent graduates “have tended to do relatively wcir\But Emma is a student of the humanities at a small college・ She's an American Studies major with a focus on the politics and culture of food. For quite a while, I think her field of study is so fashionable right now that I'm not the least bit worried she will find a good job. Yet the more Fve thought about it, the more Fve decided to be honest. "I'm not sure what Emma is going to do/5 I now say. "But she's gotten a great education and has really found her interest, 一and I know those things will serve her well over the course of her life.^Nowadays, more and more universities and colleges are being measured by the salaries of their recent graduates. In this climate, encouraging your kid to study the humanities, seems, at best, unwise or, at worst, unconcerned with earning a living・ But a college is not a vocational school. And promoting STEM subjects should not be society's only answer to helping the next generation grow in a competitive world・From the beginning, we never urged Emma to pick a college or a major with an eye on its expected return on money, as more and more families are doing ・ To Emma, what really matters will be something that we may not be able to measure for quite a long time: Emma's contribution to the world and how happy she is in it. (348 words)5. The author's friends and family ________ .A ・ are concerned about Emma's futureB ・ have been worrying about the floodC ・ are worried about Emma's safety D. are worried about the job market6. What can we learn from Paragraph 2 ?A. The number of the graduates is increasing.B. STEM graduates can be better employees.C. STEM graduates are in relatively greater demand ・D. More and more graduates like to do a part-time job ・7. Why did Emma choose a major in the humanities?A. Because she is interested in it.B. Because her mother told her to.C. Because it is increasingly popular.D. Because she wants further education.8. According to the author, what matters most in choosing a major is that ________ .A. it should be among the STEM B ・ it should bring achievements and happinessC ・ it should allow a good job and a high salary D. it should be fashionable and interestingCRecently a study, led by Pedro Hallal of the Federal University, suggests that nearly a third of adults, 31%, are not getting enough exercise ・ That rates of exercise have declined is hardly a new discoveiy ・ Since the beginning of the industrial revolution, technology and economic growth have helped to create a world in which taking exercise is more and more an option rather than a necessity. But only recently have enough good data been collected from enough places to carry out the sort of analysis Dr Hallal and his colleagues have engaged in.There are common themes in different places- Unsurprisingly, people in rich countries are less active than those in poor ones, and old people are less active than young ones. Less obviously, women tend to exercise less than men 一34% are inactive, compared with 28% of men. But there are exceptions ・ The women of Croatia, Finland, Iraq and Luxembourg, for example, move more than their male countrymen. Malta wins the race for most slothful country, with 72% of adults getting too little exercise, and Swaziland and Saudi Arabia are in close behind, with 69%. In Bangladesh, just 5% of adults fail to exercise enough. Surprisingly, six Americans in ten are active enough according to Dr HallaPs study, compared with fewer than fc )ur in ten British.These high rates of inactivity are worrying. Human beings seem to have evolved to benefit from exercise while deliberately avoiding it whenever they can. In a state of nature it would be impossible to live a life that did not provide enough of it. But that is no longer the case ・ Actually lack of enough activity these days has nearly the same effect on life span as smoking. (291 words)9. We may learn from Paragraph 1 that ________ .A. the decline of exercise rates is newly discoveredB. the study suggests 31% of female adults get too little exerciseC. the industrial revolution has changed the way people live to some degreeD. the good eno ugh data has been collected from only one country10. According to the study, women of Luxembourg _______ ・A. have little time to exerciseB. hate to get regular exerciseC ・ take more exercise to lose weight D. exercise more than men in their country11・ The underlined word “slothfUr in Paragraph 3 most probably means ________ ・A. lazyB. richC. powerful D ・ unpopular12・ What can be the best title for the text?B. New Health Discovery D. Worldwide Lack of Enough ExerciseWelcome to Arundel Castle which is situated in West Sussex, England. The castle has a history of nearly 1,000years and has welcomed visitors traveling from all over the world ・ ArundelCastle also plays a starring role in many films.The GardensThe White Garden is planted with soft white Iceberg Roses, and SnowWhite Lilies.The Rose Garden is newly planted with lovely old-fashioned English rosesthat are at their very best in June and July.A. Benefits of Taking ExerciseC. Evolvement of Human BeingsThe Organic Kitchen Garden produces a wide range of seasonal fruit and vegetables, pears, cherries and apples. The Castle ShopIn the Castle Shop, you will discover a wide and interesting range of gift ideas for everyone .It offers gifts and souvenirs designed to appeal to all tastes and pockets. Foods, china, books, and stationery are all available・ Many are sold in this Castle Shop only.At Arundel Castle we pride ourselves on supporting local suppliers and actively encourage environmentally friendly products・The Arundel Festival 2014Saturday 16th to Monday 25th AugustThe annual Arundel Festival gets bigger and belter every year・ Il is one of the most amazing, diverse and easily accessible arts festivals in the UK, offering a mix of visual arts, music, theatre and street entertainment. Parking Coaches and mini-buses can drop off at the main Castle entranee in Mill Road and park in the main town car park that is opposite the Castle entrance・ Please inform us when making your booking of how many parking permits are required. (252 words)13.When visiting the castle, you can ________ ・A.get old-fashioned English roses as giftsB.see how the local gifts are being madeC.get seasonal fruit and vegetables for freeD.buy eco-friendly products in the Castle Shop14.How long does the Arundel Festival last this year?A」6 days B. One week C」()days D. One month15.Where can you park the coach?A. In Mill RoadB. Inside the CastleC.In the main town car parkD. At the main Castle entrance第二节 (共5小题；每小题3分，满分15分)根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
2017届山西大学附中高三上学期9月月考试题 数学文
山西大学附中2016-2017学年高三第一学期9月（总第一次）模块诊断数学试题(文)（考查时间：120分钟）（考查内容：全部）一、选择题（本大题共12小题，每小题5分，共60分）1．已知集合{}|22A x x =-<<，()(){}|130B x x x =+-≤，则()R A C B =（ ） A ．(1,2)- B ．(]2,1-- C ．()2,1-- D ．()2,3 2.设复数z 满足i iz -=2，则=z （ ）A ．12i --B ．12i -C ． 12i +D ．12i -+ 3．命题“若00,022===+b a b a 且则”的逆否命题是( ) A ．若00,022≠≠≠+b a b a 且则 B ．若00,022≠≠≠+b a b a 或则 C ．若则0,0022≠+==b a b a 则且D ．若0,0022≠+≠≠b a b a 则或4.已知 1.22a =，0.812b -⎛⎫= ⎪⎝⎭，52log 2c =，则,,a b c 的大小关系为( )A ．c b a <<B ．c a b <<C ．b a c <<D ．b c a << 5．已知1a >，22()x xf x a+=，则使()1f x <成立的一个充分不必要条件是（ ）A ．20x -<<B ．21x -<<C ．10x -<<D ．10x -<≤ 6.平面向量a 与b 的夹角为60°，(2,0),1,==a b 则2+=a b （ ）B. C.4 D.127.某校共有学生2000名，各年级男、女生人数如下表．已知在全校学生中随机抽取1名，抽到二年级女生的概率是0．19．现用分层抽样的方法在全校抽取64名学生，则应在三年级抽取的学生人数为（ ） A ．17 B ．16 C ．15 D ．148．如右图所示的程序框图输出的所有点都在函数( )的图像上 A ．1y x =+B ．2xy = C ．2y x = D ．12x y -=9．在约束条件21010x x y m x y ⎧⎪-+⎨⎪+-⎩≤≥≥下，若目标函数2z x y =-+的最大值不超过4，则实数m 的取值范围（ ）A.)3,3(-B.]3,0[C.]0,3[-D.]3,3[-10．已知双曲线22221(0,0)x y a b a b-=>>，过其左焦点1F 作x 轴的垂线交双曲线于,A B 两点，若双曲线右顶点在以AB 为直径的圆内，则双曲线离心离的取值范围为( )A ．(2,)+∞B ．(1,2)C ．3(,)2+∞D ．3(1,)2ABDC第17题图11．已知定义在0,2π⎛⎫⎪⎝⎭上的函数()f x ，()f x '为其导数，且cos ()()sin x f x f x x '<恒成立，则（ ） A43ππ⎛⎫⎛⎫> ⎪ ⎪⎝⎭⎝⎭ B64f ππ⎛⎫⎛⎫> ⎪ ⎪⎝⎭⎝⎭C63f ππ⎛⎫⎛⎫< ⎪ ⎪⎝⎭⎝⎭ D ．()12sin16f f π⎛⎫< ⎪⎝⎭12．已知函数()xf x xe =（注：e 是自然对数的底数），方程()()()210f x tf x t R ++=∈有四个实数根，则t 的取值范围为（ ）A ．21(,)e e ++∞B ．21(,e e +-∞-C ．21(,2)e e +--D ．21(2,)e e+ 二、填空题（本大题共4小题，每小题5分，共20分）13. 两平行直线620kx y ++=与4340x y -+=之间的距离为 ． 14. 设R y x ∈,，且2x y +=，则yx33+的最小值为 ．15．直三棱柱111ABC A B C -的各顶点都在同一球面上，若12AB AC AA ===,120BAC ∠=︒，则此球的表面积为 ．16.若数列{}n a23n n =+ ，则12231n a a a n +++=+ ________．三、解答题17.（本小题满分12分）如图，在ABC ∆中，4B π=，角A 的平分线AD 交BC 于点D ，设BAD α∠=，sin α=．（Ⅰ）求sin C ；（Ⅱ）若28=⋅，求AC 的长．18．（本小题满分12分）如图，已知矩形ABCD 所在平面垂直于直角梯形ABPE 所在平面于直线AB ，且2,1AB BP AD AE ====，,AE AB ⊥且AE ∥BP ． （Ⅰ）设点M 为棱PD 中点，求证：EM ∥平面ABCD ；第18题图（Ⅱ）线段PD 上是否存在一点N ，使得直线BN 与平面PCD 所成角的正弦值等于25？若存在，试确定点N 的位置；若不存在，请说明理由．19．（本小题满分12分）某工厂甲、乙两个车间包装同一种产品，在自动包装传送带上每隔一小时抽一包产品，称其重量（单位：克）是否合格，分别记录抽查数据，获得重量数据茎叶图（如图）.（Ⅰ）根据样本数据，计算甲、乙两个车间产品重量的均值与方差，并说明哪个车间的产品的重量相对稳定；（Ⅱ）若从乙车间6件样品中随机抽取两件，求所抽取两件样品重量之差不超过2克的概率．20. （本小题满分12分）已知椭圆2222:1x y C a b+= ()0a b >> 的一个顶点为(2,0)A ，离心率为22.直线()1y k x =-与椭圆C 交于不同的两点,M N .(Ⅰ)求椭圆C 的方程； (Ⅱ)当AMN ∆的面积为9时，求k 的值． 21.（本小题满分12分）已知函数2()2ln f x x x =-+(Ⅰ)求函数)(x f 的最大值； (Ⅱ)若函数)(x f 与xax x g +=)(有相同极值点， ①求实数a 的值；②若对于⎥⎦⎤⎢⎣⎡∈∀3,1,21ex x （e 为自然对数的底数），不等式11)()(21≤--k x g x f 恒成立，求实数k 的取值范围.请考生在第22、23题中任选一题作答.若多做，则按所做的第一题计分. 22.（本小题满分10分) 在直角坐标系xoy 中，圆C 的参数方程1cos (sin x y ϕϕϕ=+⎧⎨=⎩为参数）．以O 为极点，x 轴的非负半轴为极轴建立极坐标系．（Ⅰ）求圆C 的极坐标方程；（Ⅱ）直线l 的极坐标方程是C 的交点为O 、P ，与直线l 的交点为Q ，求线段PQ 的长．23.（本小题满分10分）已知函数()f x x a =-（Ⅰ）若不等式3)(≤x f 的解集为{}51≤≤-x x ，求实数a 的值；（Ⅱ）在（Ⅰ）的条件下，若m x f x f ≥++)5()(对一切实数x 恒成立，求实数m 的取值范围.山西大学附中2016-2017学年高三第一学期9月（总第一次）模块诊断数学试题答案（考查时间：120分钟）（考查内容：全部）一. 选择题理科：1 2 3 4 5 6 7 8 9 10 11 12 C A D A C B D B D A C B 文科：1 2 3 4 5 6 7 8 9 10 11 12 C ADACBBDDACB二.填空题13. 1 14.(理) -2 (文) 6 15. 20π 16. 226n n +. 三.解答题17.解：（Ⅰ）⎪⎭⎫ ⎝⎛∈2,0πα ，5155sin ==α，∴ 52sin 1cos 2=-=αα……1分 则5452512cos sin 22sin sin =⨯⨯===∠αααBAC ∴5315421cos 2cos 2=-⨯=-=∠αBAC ． ………………… 3分∴αααπαππ2sin 222cos 2224sin 24sin sin +=⎪⎭⎫⎝⎛+=⎥⎦⎤⎢⎣⎡⎪⎭⎫ ⎝⎛+-=C102754225322=⨯+⨯=．… …………………6分 （Ⅱ）由正弦定理，得BAC BCC AB ∠=sin sin ，即541027BC AB =，∴BC AB 827=………7分又28=⋅，∴2822=⨯BC AB ，由上两式解得24=BC …………8分 又由BAC BC B AC ∠=sin sin 得5422BCAC =，∴5=AC ．………………………12分18．（Ⅰ）证明：（方法一）由已知，平面ABCD ⊥平面ABEP ，且BC AB ⊥，则BC ⊥平面ABEP ，所以,,BA BP BC 两两垂直，故以B 为原点，,,BA BP BC分别为x 轴，y 轴，z 轴正方向，建立如图所示的空间直角坐标系．1=(1,0,)2EM - ．则1(0,2,0),(2,0,1),(1,1,),(2,1,0),(0,0,1)2P D M E C ，所以易知平面ABCD 的一个法向量等于(0,1,0)n =，所以1=(1,0,)(0,1,0)02EM n ⋅-⋅= ，所以EM n ⊥ ，又EM ⊄平面ABCD ，所以EM ∥平面ABCD ．（方法二）由图知，,,BA BP BC 两两垂直．连结,AC BD ，其交点记为O ，连结MO ，EM ． 因为四边形ABCD 为矩形，所以O 为BD 中点．因为M 为PD 中点，所以OM ∥PB ，且12OM PB =．又因为AE ∥PB ，且12AE PB =， 所以AE ∥OM ，且AE =OM ．所以四边形AEMO 是平行四边形，所以EM ∥AO因为EM ⊄平面ABCD ，AO ⊂平面ABCD 所以EM ∥平面ABCD ．---6分 （Ⅱ）解：当点N 与点D 重合时，直线BN 与平面PCD 所成角的正弦值为25．理由如下： 因为(2,2,1),(2,0,0)PD CD =-=，设平面PCD 的法向量为1111(,,)n x y z = ，由110,0n PD n CD ⎧⋅=⎪⎨⋅=⎪⎩得1111220,20.x y z x -+=⎧⎨=⎩ 取11y =，得平面PCD 的一个法向量1(0,1,2)n =．假设线段PD 上存在一点N ，使得直线BN 与平面PCD 所成角α的正弦值等于25． 设(01)PN PD λλ=≤≤，则(2,2,1)(2,2,)PN λλλλ=-=- ，(2,22,)BN BP PN λλλ=+=-．所以111||sin |cos ,|||||BN n BN n BN n α⋅=<>=⋅25===． 所以29810λλ--=，解得1λ=或19λ=-（舍去）． 因此，线段PD 上存在一点N ，当N 点与D 点重合时，直线BN 与平面PCD 所成角的正弦值等于25． -----12分 19.(文)（1）甲相对稳定。
山西省山西大学附属中学2017届高三上学期期中考试英语试题及答案
山西大学附中2016～2017学年高三第一学期11月（总第五次）模块诊断英语试题考查时间：100分钟考查内容：高考内容第一部分：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。
AI had an unforgettable experience with my friends on a plane three years ago. While we were waiting for it to take off, the pilot’s voice was heard throughout the plane: “Sorry for the delay, ladies and gentlemen. Our engines don’t work. We are going to jump-start them. Once we get them going , we’ll get up in the air and see what happens.”That was all he said. “See what happens?” Shouldn’t we have had a better plan than that? At that point. I could only laugh nervously. One woman started crying. “Oh no! We are going to crash!” There were sighs of hopelessness and anxiety, and we hadn’t even taken off yet.The pilot even seemed unhappy. He told us our one engine was working double time, and his plan was to get up in the air and see what happens! Then we did. We got up in the air, and what happened? Nothing. We arrived in Norfolk, and no sooner had the wheels touched down than applause burst out as everyone on the airplane breathed a sigh of relief.All too often, people stop trying to achieve their goals just because they don’t have a guaranteed result. But success will never be guaranteed. The best thing that you can do is just get up in the air, and see what happens. While I do prefer planning better than “see what happens” when it comes to flying, it really isn’t such a bad idea for life.If your effort is to build a business then get up in the air and see what happens! Don’t give yourself all the reasons why you can’t. Do not wait until you have everything you need. You never will!could be very rewarding. If your goal is to learn a new skill, get up in the air and see what happens! It might not be as difficult as your think. It could be fun!1. When it was announced that engines didn’t work, the author felt_________.A. disappointed.B. anxious.C. curious.D. relieved.2. The underlined sentence in the last paragraph means _________.A. to think carefully before you make friendsB. to start to fly first to see what will happen in the skyC. to get up from the chair and greet somebodyD. to make an effort even if the result is uncertain3. What can be the best title for the passage?A. I Survived an Adventurous FlightB. The Pilot Risked Our LivesC. We Will See What HappensD. Making Plans Is Better Than TakingBLibrary Guide for FreshmenThe school library offers different types of studying places and provides a good studying environment. ZonesThe library is divided into different zones. The upper floor is a quiet zone with over a thousand places for silent reading. and places where you can sit and work with your own computer. The reading places consist mostly of tables and chairs. The ground floor is the zone where you can talk. Here you can find sofas and armchairs for group work.ComputersYou can use your own computer to connect to the Wi-Fi specially prepared for notebook computers; you can also use library computers, which contain the most commonly used applications, such as Microsoft Office. They are situated in the area known as the Experimental Field on the ground floor.Group-study PlacesIf you want to discuss freely without disturbing others, you can book a study room or sit at a table on the ground floor. Some study rooms are for 2-3 people and others can hold up to 6-8 people. All rooms are marked on the library maps.There are 40 group-study rooms that must be booked via the website. To book, you need an active University account and a valid University card. You can use a room three hours per day, nine hours at most per week.Storage of Study MaterialThe library has lockers for students to store course literature. When you have obtained at least 40 credits, you may rent a locker and pay 400 SEK for a year’s rental period.Rules to be followed✓Mobile phone conversations are not permitted anywhere in the library.✓Keep your phone on silent as if you were in a lecture and exit the library if you need to receive calls.✓Please note that food and fruit are forbidden in the library, but you are allowed to have drinks and sweets with you.4. The library’s upper floor is mainly for students to ______________.A. have group discussionsB. read in a quiet placeC. take comfortable seatsD. get their computers fixed5. Library computers on the ground floor ______________.A. are mostly used for filling out application formsB. contain software essential for schoolworkC. are for those who want to access the Wi-FiD. help students with their field experiments6. What condition should be met to book a group-study room?A. A group must consist of 8 people.B. Three-hour use per day is the minimum.C. One should first register at the university.D. Applicants must mark the room on the map.7. A student can rent a locker in the library if he ____________.A. can afford the rental feeB. attends certain coursesC. has nowhere to put his booksD. has earned the required creditsCAlthough being famous might sound like a dream come true, today’s star, feeling like zoo animals, face pressures that few of us can imagine. They are at the center of much of the world’s attention. Paparazzi (狗仔队) camp outside their homes, cameras ready. Tabloids (小报) publish thrilling stories about their personal lives. Just imagine not being able to do anything without being photographed or interrupted for a signature.According to psychologist Christina Villareal, celebrities — famous people — worry constantly about their public appearance. Eventually, they start to lose track of who they really are, seeing themselves the way their fans imagine them, not as the people they were before everyone knew their names. “Over time,” Villareal says, “they feel separated and alone.”The phenomenon of tracking celebrities has been around for ages. In the 4th century B.C., painters followed Alexander the Great into battle, hoping to picture his victories for his admirers. When Charles Dickens visited America in the 19th century, his sold-out readings attracted thousands of fans, leading him to complain about his lack of privacy. Tabloids of the 1920s and 1930s ran articles about film-stars in much the same way that modern tabloids and websites do.Being a public figure today, however, is a lot more difficult than it used to be. Superstars cannot move about without worrying about photographers with modern cameras. When they say something silly or do something ridiculous, there is always the Internet to spread the news in minutes and keep their “story” alive forever.If fame is so troublesome, why aren’t all celebrities running away from it? The answer is there are still ways to deal with it. Some stars stay calm by surrounding themselves with trusted friends and family or by escaping to remote places away from big cities. They focus not on how famous they are but on what they love to do or whatever made them famous in the first place. Sometimes a few celebrities can get a little justice. Still, even stars who enjoy full justice often complain about how hard their lives are. They are tired of being famous already.8. It can be learned from the passage that stars today _____________.A. are often misunderstood by the publicB. can no longer have their privacy protectedC. spend too much on their public appearanceD. care little about how they have come into fame9. What is the main idea of Paragraph 3?A. Great heroes of the past were generally admired.B. The problem faced by celebrities has a long history.C. Well-known actors are usually targets of tabloids.D. Works of popular writers often have a lot of readers.10. What makes it much harder to be a celebrity today?A. Availability of modern media.B. Inadequate social recognition.C. Lack of favorable chances.D. Huge population of fans.11. What is the author’s attitude toward modern celebrity?A. sincere.B. sceptical.C. disapproving.D. sympathetic.DIs there link between humans and climate change or not? This question was first studied in the early 1900s. Since then, many scientists have thought that our actions do make a difference. In 1997, the Kyoto Protocol explained our role in the Earth’s changing atmosphere and set international limits for gas emissions(排放) from 2008 to 2012. Some countries have decided to continue these reductions until 2020. More recently, the Paris Agreement, stuck by nearly 200 countries, also aims to limit global warming. But just now how much warmer it will get depends on how deeply countries cut carbon emissions.3.5℃This is how much temperatures would rise by 2100 even if nations live up to the initial Paris promises to reduce carbon emissions; this rise could still put coastal cities under water and drive over half of all species to extinction.2℃To meet this minimum goal, the Agreement requires countries to tighten emissions targets every five years. Even this increase could sink some islands, worse drought(干旱) and drive a decline of up to a third in the number of species.1.5℃This is the most ambitious goal for temperature rise set by the Paris Agreement, after a push by low-lyingisland nations like Kiribati, which say limiting temperature rise to 1.5℃could save them from sinking.0.8℃This is how much temperatures have risen since the industrial age began, putting us 40% of the way to the 2℃point.0℃The baseline here is average global temperature before the start of the industrial age.12. It can be concluded from paragraph 1 that _______.A. the problem of global warming will have been quite solved by 2020B. gas emissions have been effectively reduced in developed countriesC. the Paris Agreements is more influential than the Kyoto ProtocolD. humans have made continuous efforts to slow down global warming13. If nations could only keep the initial promises of the Paris Agreement, what would happen by the year2100?A. The human population would increase by one third.B. Little over 50% of all species would still exist.C. The Agreement’s minimum goal wo uld not be reached.D. Nations would not need to tighten their emissions targets.14. If those island nations not far above sea level are to survive, the maximum temperature rise, since thestart of the industrial age, should be_______.A. 1.5℃B. 0.8℃C. 2℃D. 3.5℃15. ALL of the following bad influences of global warming is mentioned except___________ .A. exreme weather like worse droughtB. coastal cities are under the waterC. human’s new deadly diseaseD. species go out第二节(共5小题；每小题3分，满分15分)根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
山西省山西大学附属中学届高三教案物理上学期模块诊断学习的试题含解析
2021-2021学年高三第一学期9月月考物理试题一、单项选择题〔共6小题，每题4分，共24分，每题只有一个正确答案，答对得4分，错选或不选得0分〕A 、B 都静止在同一水平面上，它们的质量分别为m A 、m B ，与水平面间的动摩擦因数分别为μA 、μB ，用水平拉力F 拉物体A 、B ，所得加速度a 与拉力F 关系图线如图中A 、B 所示，那么〔〕A.μA ＝μB ，m A ＞m BB.μA ＞μB ，m A ＜m Bm A ＝m B D.μA ＜μB ，m A ＞m B【答案】B【解析】此题考查了用图象处理动力学问题．斜率表示物体质量的倒数，所以A 的质量小于B 的质量，A 的重力小于B 的重力，由于横坐标截距为物体受到的摩擦力大小，那么A 、B 受到的摩擦力相等，那么μA >μB ，所以B正确．2.如下图是物体做直线运动的v-t图象，由图可知，该物体D.0~2s和0~4s内的平均速度大小相等【答案】BC【解析】A项，在图像中，轴上方的，速度方向为正方向，轴下方的，速度方向为负方向．在第内和第内的速度均在轴上方，所以运动方向相同，故A项错误．B项，在图像中，加速度大小为曲线切线斜率的绝对值，在第内和第内的切线斜率相同，所以加速度相同，故B项正确．C项，在图像中，正方向的面积减去负方向的面积的值即为位移，在第内和第内的面积大小相等，所以位移大小相等，故C项正确．D项，平均速度为位移与时间的比值，在图像中，正方向的面积减去负方向的面积的值即为位移，和内的面积相等，位移大小相等，但时间不相等，所以平均速度大小不相等，故D项错误．应选BC．m的物体，静止时弹簧伸长量为L/2。
现用该弹簧沿斜面方向拉住质量为2m的物体，系统静止时弹簧伸长量为L。
斜面倾角为30°，如下图。
那么物体所受摩擦力()B.大小为mg，方向沿斜面向下C.大小为mg，方向沿斜面向上D.大小为mg/2，方向沿斜面向上【答案】B【解析】【详解】有题意可知：竖直悬挂时：；拉质量为2m的物体时，设物体所受摩擦力大小为f，根据平衡可知：解得：，方向沿斜面向下，故B对；ACD错；应选B4..测速仪安装有超声波发射和接收装置,如下图,B为测速仪,A为汽车,两者相距335m,某时刻B发出超声波,同时A由静止开始做匀加速直线运动.当B接收到反射回来的超声波信号时,AB相距355m,声速340m/s,那么汽车的加速度大小为()222【答案】A【解析】【详解】设汽车运动的加速度为a,时间为t,那么超声波来回的时间也为t,超声波做匀速直线运动,所以单程的时间为.汽车做初速度为零的匀加速运动，所以在单程时间内,汽车开过的位移为5m那么超声波追上汽车时,经过的位移.所以.将时间代入，解得：，故A对；BCD 错故此题答案是：A,只要求出运行的时间,就可求出汽车的加速度.通过汽车在整个过程中通过的位移为20m.可以知道在一半时间内的位移是5m,在一半时间内超声波恰好追上汽车,可以求出超声波追上汽车的时间,从而知道整个过程的总时间.5.如下图，两根直木棍AB和CD相互平行，斜靠在竖直墙壁上固定不动，第一次使水泥圆筒从木棍的上部以一定初速度滑下，恰能做匀速运动，假设保持两木棍倾角不变，将两者间的距离稍增大后固定不动，第二次仍将水泥圆筒放在两木棍的上部，使其以同样初速度下滑，那么与第一次相比〔〕A.每根木棍对圆筒的支持力变大，摩擦力不变B.每根木棍对圆筒的支持力变小，摩擦力变小【答案】D【解析】也增大,而重力沿斜面向下的分力不变,所以圆筒减速下滑，故ABC错；D对；故此题答案是：D6.如下图，物体ABC放在光滑水平面上用细线ab 连接，力F作用在A上，使三物体在水平面上运动，假设在B上放一小物体D，D随B一起运动，且原来的拉力F保持不变，那么加上物体D后两绳中拉力的变化是：〔〕【答案】AD【解析】以整体为研究对象，质量增大加速度减小，以C 为研究对象，绳子b提供加速度，所以绳子b的拉力减小，再以A为研究对象F-Fa=ma，可知绳子a的拉力增大，A对；二、多项选择题〔共6小题，每题6分，共36分，全部答对得6分，漏选的得3分，错选或不选得0分〕7..如下图，竖直光滑杆上套有一个小球和两根弹簧，两弹簧的一端各与小球相连，另一端分别用销钉M、N固定于杆上，小球处于静止状态，设拔去销钉M瞬间，小球加速度的大小为12m/s2，假设不拔去销钉M而拔去销钉N瞬间，小球的加速度可能是〔取g=10m/s2〕〔〕22，竖直向上22，竖直向下【答案】AC【解析】【详解】设小球的质量为m,向上为正方向,刚开始受力平衡,那么有:根据题意拔去销钉M瞬间有:所以或者那么或去销钉N瞬间,小球受M弹簧和重力G的作用,加速度为或者，故AC对；BD错；故此题选AC【点睛】小球加速度的大小为12m/s2可能向上也可能向下,拔去销钉M瞬间,上面一个弹簧对小球的作用力为0,小球只受到下面弹簧的作用力,根据牛顿第二定律算出上面弹簧对小球的作用力,如拔去销钉N那么下面一根弹簧作用力为0,再根据牛顿第二定律即可求解,要注意方向.8.如下图，轻质不可伸长的晾衣绳两端分别固定在竖直杆M、N上的a、b两点，悬挂衣服的衣架钩是光滑的，挂于绳上处于静止状态。
山西省山大附中高二语文(9月)第一学期模块诊断试题
山西大学附中2015～2016学年高二第一学期9月（总第一次）模块诊断语文试题考查时间：120分钟考查内容：古代诗文阅读为主第Ⅰ卷阅读题一、现代文阅读（6分）阅读下面的文字，完成1~3题。
两汉经学经学的真正确立是在汉武帝时代。
汉武帝接受董仲舒“独尊儒术”的建议，设置五经博士，收博士弟子五十人。
其后博士弟子屡经增加，东汉时多达三万人。
五经博士及其弟子以五经为研习对象，这就形成了经学。
所谓经学，是指专门研究儒家经典的学问。
从中国文化史看，经学出现的前提是汉王朝运用国家力量将民间流传的文化经典宣布为国家经典，并设立博士制度予以专门研究。
于是，五经成为国家政治、法律、意识形态的根据。
从国家制度层面保证儒家经典的传习，确立了儒家经典在中华文化经典中的主流地位，客观上也确立了经学在中国学术体系中的核心地位。
儒学作为汉代主流思想，是与中央集权的统一相适应的。
儒家主张的五伦、五常作为社会伦理道德，也因儒家的主流地位而得以明确确立。
两汉经学分为今文经学和古文经学。
秦始皇焚书，造成文化典籍的浩劫，五经借助儒生记忆而保存下来。
用汉代流行的隶书书写的经书文本，被称为今文经。
汉景帝以后，陆续在孔府旧宅壁等处发现的与五经有关的用战国字体书写的文本，被称为古文经。
古文经与今文经不仅书写字体不同，而且同一部经典的篇章多寡也或有差别，如孔府旧宅壁中友现的《尚书》就比汉初伏生所传《尚书》多16篇。
此外，还发现了一些其他古文经典，如《周官》《左传》等。
因汉武帝及其后所立五经博士皆为今文经博士，西汉末刘歆便要求把古文经也立于学官，但遭到今文经学家的阻挠，一时没有实现。
于是引起令古文经学家之间的一场大争论。
西汉时期，今文经学是经学主流。
今文经学通经以致用，注重思想的阐发，强调经书的历史借鉴意义，但弊病是与谶纬结合而流于神秘。
古文经学在东汉发展昌盛，注重文字训诂和对典章名物的解释，突出还原历史和文化传承，学术贡献良多，弊病是流于繁琐的文献考证而脱离思想和生活。
山西省山西大学附属中学2016-2017学年高二物理9月月考试题
山西大学附中2016～2017学年高二第一学期9月（总第一次）模块诊断物理试题（考查时间：90分钟） (考查内容：必修2)一、单项选择题（本题共9个小题，每小题4分，共36分。
在每小题给出的四个选项中，只有一个选项是正确的，选对得4分，选错和不选的0分）1.2016年8月10日临晨6点55分，我国在太原卫星发射中心用长征四号丙运载火箭成功发射首颗多极化C频段合成孔径雷达遥感卫星—高分三号，实现了全天候随时对地成像。
2016年8月16日临晨1时40分我国再次在酒泉卫星发射中心用长征二号丁运载火箭发射世界首颗量子实验卫星—墨子号，这将使中国在世界上首次实现卫星和地面之间的量子通信，构成天地一体化的量子保密通信和科学实验体系。
这标志着我国的航天事业已处于世界领先地位。
据报道，高分三号和墨子号进入轨道做圆周运动时离地面的高度分别为755km和500km，根据以上信息和所学的知识判断下列结论正确的是（）A.高分三号和墨子号的运行速度都超过第一宇宙速度B.高分三号和墨子号的运行周期都超过24小时C.三号的运行速度小于墨子号的运行速度D.高分三号的加速度大于墨子号的加速度2.如图所示，河水以相同的速度向右流动，落水者甲随水漂流，至b点时，救生员乙从O点出发对甲实施救助，则救生员乙相对水的运动方向应为图中的( )A．Oa方向B．Ob方向C．Oc方向D．Od方向3.如图所示，水平地面上有一个坑，其竖直截面为半圆，圆心为O，ab为沿水平方向的直径．若在a点以初速度v1沿ab方向抛出一小球，小球运动t1时间后击中坑壁上的c点；若在a点以较大的初速度v2沿ab方向抛出另一小球，小球运动t2时间后击中坑壁上的d点．已知直线Oc、Od与ab的夹角均为60°，不计空气阻力，则( )A ．t 1＝23v 13g ；t 2＝23v 1gB ．t 1＝23v 1g ；v 1∶v 2＝1∶3C ．t 1∶t 2＝1∶1；v 1∶v 2＝3∶3D ．t 2＝23v 2g；v 1∶v 2＝1∶ 34.如图所示，甲、乙两水平圆盘紧靠在一块，甲圆盘为主动轮，乙靠摩擦随甲转动无滑动．甲圆盘与乙圆盘的半径之比为r 甲∶r 乙＝3∶1，两圆盘和小物体m 1、m 2之间的动摩擦因数相同，小物体质量m 1＝m 2，m 1距O 点为2r ，m 2距O ′点为r ，当甲缓慢转动起来且转速慢慢增加时( ) A ．滑动前m 1与m 2的角速度之比ω1∶ω2＝3∶1 B ．滑动前m 1与m 2的向心加速度之比a 1∶a 2＝1∶3 C ．随转速慢慢增加，m 1先开始滑动 D ．随转速慢慢增加，m 2先开始滑动5. 在地面上方某一点将一小球以一定的初速度沿水平方向抛出，不计空气阻力，则小球在随后的运动中（ ）A ．速度和加速度的方向都在不断变化B ．速度与加速度方向之间的夹角一直减小C ．在相等的时间间隔内，速率的改变量相等D ．在相等的时间间隔内，动能的改变量相等6. 如图甲所示，轻杆一端与一小球相连，另一端连在光滑固定轴上，可在竖直平面内自由转动。
山西省山大附中高三英语(9月)第一学期模块诊断试题
山西大学附中 2015---2016学年高三第一学期（9月）月考英语试题考试时间：100分钟满分：100分注意：本考试严禁使用手机、电子词典或其它电子存储设备，违者按作弊．．处理。
第Ⅰ卷（选择题共100分）第一节：阅读理解（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，并在答题卡上将该项涂黑。
AWhat’s on Your Pet’s Mind?In 1977, Irene Pepperberg of Harvard University began studying what was on another creature’s mind by talking to it. Her first experiments began with Alex. Alex was a one-year-old African grey parrot and Irene taught him to produce the sounds of the English language. “I thought if he le arned to communicate, I could ask him questions about how he sees the world.”At the time, most scientists didn’t believe animals had any thoughts. They thought animals were more like robots but didn’t have the ability to think or feel. Of course, if you own a pet you probably disagree. But it is the job of a scientist to prove this and nowadays more scientists accept that animals can think for themselves.“That’s why I started my studies with Alex,” Irene said, “Some people actually called me crazy for tr ying this.”Nowadays, we have more and more evidence that animals have all sorts of mental abilities. Sheep can recognize faces. Chimpanzees (黑猩猩) use a variety of tools and even use weapons to hunt. And Alex the parrot became a very good talker.Thirty years after the Alex studies began, Irene was still giving him English lessons up until his recent death. For example, if Alex was hungry he cou ld say “want grape”. Alex could count to six and was learning the sounds for seven and eight. “He has to hear the words over and over before he can correctly say them.” Irene said, after pronouncing “seven” for Alex a few times in a row. Alex could also tell the difference between colors, shapes, sizes, and materials (e.g. wood and metal). Before he finally died, Alex managed to say “seven”.Another famous pet that proved some animals have greater mental skills was a dog called Rico. He appeared on a German TV game show in 2011. Rico knew the names of 200 different toys and easily learned the names of new ones. When Rico became famous, many other dog owners wanted to show how clever their pets were. Another dog called Betsy could understand 300 words.One th eory for dogs’ ability to learn a language is that they have been close companions to humans for many centuries and so their ability to understand us is constantly evolving. While animals can’t do what humans do yet, some scientists believe that examples like Alex and Rico prove that evolution develops intelligence, as well as physical appearance.1. Irene wanted to find out __________.A. what a parrot thinksB. why a parrot can speakC. how parrots make soundsD. if parrots speak English2. Alex learnt new words by __________.A. singing themB. reading themC. writing themD. rehearing them3. The article concludes that ___________.A. our pets understand what we sayB. dogs may speak to humans one dayC. humans are related to chimpanzeesD. mental ability can evolve in animalsBAs we grow old, we realize that we have so little time to read and there are so many great books that we’ve yet to get around to. Ye re-readers are everywhere around us. For certain fans, re-reading The Lord of the Rings is a conventional practice annually. One friend told me that Jane Austen’s Emma can still surprise him, despite his having read it over 50 times.New sudden clear understandings can be gained from the process of re-reading. Journalist Rebacca Mead, a long-time Englishwoman in New York, first came across George Eliot’s Middlemarch at 17. Since then, she has read it again every five years. With each re-reading, it has opened up further; in each chapter of her life, it has resonated (引起共鸣) differently. Mead evidenced the large number of ways in which really good books not only stand the test of repeat reads, but also offer fresh gifts each time we crack their spines. These kinds of books grow with us.Scientists have also recognized the mental health benefits of re-reading. Research conducted with readers in the US found that on our first reading, we are concerned with the “what” and the “why”. Second time round, we’re able to better appreciate the emotions that the plot continues to express. As researcher Cristel Russell of the American University explained, returning to a book “brings new or renewed appreciation of both the great book and its readers.”It’s true that we often find former selves on the pages of old books (if we’re fond of making notes on the pages). These texts can carry us back to a time and place, and remind us of the kind of person that we were then. We’re changed not only by lived experience but also by read experience –by the books that we’ve discovered since last reading the one in our hand.More so than the movie director or the musician, the writer calls upon our imaginations, using words to lead us to picture this declaration of love or that unfaithfulness in life. A book is a joint project between writers and readers, and we must pour so much of ourselves into reading that our own life story can become connected with the story in the book.Perhaps what’s really strange is that we don’t re-read more often. After all, we watch our favourite films again and we woul dn’t think of listening to an album only once. We treasure messy old paintings as objects, yet of all art forms, literature alone is a largely one-time delight. A book, of course, takes up moretime, but as Mead confirms, the rewards make it adequately worthwhile.4. The underlined expression “crack their spines” in Paragraph 2 refers to ________.A. recite themB. re-read themC. recall themD. retell them5. It can be learned from the passage that __________.A. reading benefits people both mentally and physicallyB. readers mainly focus on feelings on their first readingC. we know ourselves better through re-reading experienceD. writers inspire the same imaginations as film directors do6. The purpose of the passage is to __________.A. call on different understandings of old booksB. focus on the mental health benefits of readingC. bring awareness to the significance of re-readingD. introduce the effective ways of re-reading old booksCYou may have heard of the man who decided to repair the roof of his house. To be safe, he tied a rope around his waist and threw the other end of it over the top of the house. He asked his son to tie it to something secure. The boy fastened the safety rope to the bumper of their car parked in the driveway. It seemed like a good idea at the time. But a little while later, his wife, unaware of the rope securing her husband, she started the car and drove away. Imagine what the result would be.This story, factual or not, points to a great truth. It is a truth about where we place our security; about those things to which we’ve tied our safety lines. What is your rope tied to? Think about it. What do you depend on to keep you from disaster? Is your rope tied to a good job? Is it tied to a relationship with somebody you rely on? Is it tied to a company or an organization?Writer Susan Taylor tells of discovering how unreliable some of our safety lines really are. She tells of lying in bed in the early hours of the morning when an earthquake struck. As her house shook, she fell out of bed and managed to go to the doorway, watching in horror as her whole house cracked down around her. Where her bed had once stood, she later discovered nothing but a pile of bricks. She lost everything —every button, every dish, her automobile, every article of clothing. Susan trembled, scared and crying, in the darkness. In the early morning she cried and called out for help.Thoroughly exhausted, she thought that maybe she should be listening for rescuers instead of crying. So she grew still and listened. In the silence around her, the only sound she heard was the beating of her own heart. It occurred to her then that at least she was still alive and, amazingly enough, unhurt.She thought about her situation. In the stillness, fear abandoned her and a feeling of indescribable peace and happiness flooded in, the likes of which she had never before known. It was an experience that was to change her life forever.In the deepest part of her being, Susan realized a remarkable truth. She realized she had nothing to fear. Amazingly, whether or not she was ever rescued , whether she ever made it out alive, she sensed she had nothing to fear.For the first time in her life she understood that her true security did not depend on those things in which she had placed her trust. It lay deep within. And also for the first time, she knew what it was to be content in all circumstances. She realized that whether she had plenty or hardly enough, somehow she would be all right. She j ust knew it. She later wrote, “Before the quake I appeared very successful, but my life was out of balance. I wasn’t happy because I had been making money and always wanting more. My home, my job, my clothes, a relationship — I thought they were my security. It took an earthquake and losing everything I owned for me to discover that my security had been with me all along…There’s a power within us that we can depend upon no matter what is happening around us.”She had tied her rope to the wrong things. It took a disaster for her to understand that those things are not trustworthy. So she let go of the rope and discovered peace. She found that her true security was a power within- dependable and sure.What is your rope tied to? And what would happen if you found the courage to let go of it?7. If the story of the man was true, the most probable result would be that___________.A. the bumper of the car broke upB. the house was destroyed by the carC. the wife was scolded by her husbandD. the man was badly injured or even killed8. Why was Susan crying in the darkness?A. Because she was afraid of staying in the dark .B. Because she wanted to be heard by the rescuers.C. Because she was frightened and felt helpless.D. Because she had tied her rope to the wrong thing.9. What did Susan feel after she thought about her situation?A. She felt very peaceful.B. She felt she was still alive.C. She felt completely hopeless.D. She wanted to change her lifeforever.10. How did Susan like interpersonal relationship and income before the earthquake?A. They were alternative.B. They were unnecessary.C. They were very important.D. They were among some choices.11. Which of the following should be the best title?A. What to Depend on.B. A Rope Tied to a Car.C. Please Let Go of Your Trust.D. An Experience from anEarthquake.DIt’s amazing how we grow from careless kids to responsible teens. What happens in the course that makes us responsible now? It’s the seed that we sow in the beginning which grows and becomes a huge tree. As I sit here, silently thinking about my growth, I wonder over some questions which don’t have an answer but it’s because of such unanswerable situations that life has become a roller coaster ride.As a kid, I used to read a lot of story books. In one particular book, I reada story of a bird. From then on, that has become an integral (必不可少的) part of my life. It described a male bird which takes a lot of pain to build a nest and the female bird takes shelter in it and nourishes the baby. When the bird learns to fly, the whole family flies off to a different place leaving behind the beautiful nest for other birds to grow their family in it. It made me wonder. How could they so easily sacrifice their house built with so much effort?One night, when I was deep in sleep, I got this particular dream. I was walking miles on the endless road, totally isolated but lined with beautiful trees on the either side. Fascinated by the greenery, I marched towards it only to end up deeper and deeper into the greenery. I happened to stop upon seeing something. It was a massive, wonderful house. I fell in love with that amazing part of art. Yeah, it was indeed a piece of art with every nook and corner touched artistically and lovingly.I don’t know why I felt that it was done lovingly. Maybe because, things turn out to be beautiful only when we put our love into it — just like the food prepared by mom which tastes more delicious with her love.I explored the house only to fall more in love with it. There was a sloping roof which matched with the greenery around; the large central open courtyard reminded me of the activities that might have taken place there which felt lively even now when it is completely deserted. The small water body that kept the house cool added to the beauty of the house —of course, it was all dried up now. It’s really wonderful how such things add life to the spaces which otherwise just become structures. Such liveliness and happening turns the house into a home. Th ey say ‘THE HOME IS WHERE THE HEART IS’, but now I began to feel it. This is where my heart belongs. This is what I’m destined to do.When I woke up from the dream, I was clear about everything. I realized where that mile of walk was intending me to lead. I realized what message my dream wanted to convey me. And years later, when finally my turn of choosing my destination came, I simply closed my eyes, held that book in my hand, pressed it against my chest and relived the dream. When I opened my eyes, I was sure what to do. I decided to choose the road —less traveled. Yes, I took up architecture as my profession because this is what I am destined to do. I wanted to do the same thing that the male bird in the story did, to take pain in building a beautiful house and let others stay in it. This is my dream come true and the happiness that I gain now from this profession is indescribable.12. When the writer read the story of the bird, he probably felt _______.A. upsetB. confusedC. amazedD. amused13. To the writer, “the seed that we sow in the beginning” (Paragraph 1) is _______.A. the house in his dreamB. his mother’s foodC. the story of the birdD. his story books14. In the writer’s dream, what part of the house attrac ted him most?A. The greenery surrounding the house.B. The body of water that keeps the house coolC. The liveliness he sensed around the house.D. The fact that the house was very large.15. The above passage is mainly about _______.A. how the writer finally becomes an honest citizenB. where the true meaning of responsibility liesC. what we need to do when we are seeking fortuneD. why the writer takes up architecture as his career第二节：七选五（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
山西省山西大学附属中学2016届高三上学期(9月)模块诊断化学试题
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2
、
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D ．在含
3＋
Fe
、
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、
NH
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Fe3＋
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15．为增强铝的耐腐蚀性，现以铅蓄电池为外电，以 使铝表面的氧化膜增厚。反应原理如下：
将混合物制成热饱和溶液，冷却结晶，过滤
C
除去 CO 2 中的 HCl 气体
通过 NaHCO 3(aq,饱和 ) ，然后干燥
D
除去 C2H5Br 中的 Br 2
加入足量 Na 2SO3(aq)，充分振荡，分液
11．下列说法正确的是（
）
A ．将铁粉加入 FeCl 3、 CuCl 2 混合溶液中，充分反应后剩余的固体中必有铁
-
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和
ClO
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两种粒子数之和为
NA
B ．密闭容器中， 0.1 mol H 2和 25.4 g 碘在一定条件下充分反应，生成 HI 分子数为 0.2 N A
C．含有 4 NA 个碳碳 σ 键的金刚石，其质量为 24 g
D ．含 0.1 mol FeCl 3 的溶液完全水解后得到的胶体粒子个数为
0.1 N A
3．实验室中以下物质的贮存方法不正确．．．的是 （
）
A ．浓硝酸用带橡胶塞的细口、棕色试剂瓶盛放，并贮存在阴凉处
B ．保存硫酸亚铁溶液时，要向其中加入少量硫酸和铁粉
C ．少量金属钠保存在煤油中
D ．试剂瓶中的液溴可用水封存，防止溴挥发
4、 NA 代表阿伏加德罗常数，下列说法中正确的是（
）
A ．标况下， 11.2 L 氯气完全溶于 1 L 水中，所得溶液中
山西省太原市山西大学附中高三第一学期9月(总第一次)模块诊断
山西省太原市山西大学附中高三第一学期9月（总第一次）模块诊断政治试题（考试时间：80分钟）（考查内容：必修一第一单元为主）一、选择题：（本大题共27小题，每小题2分，共54分。
在每小题列出的四个选项中，只有一项是最符合题目要求的。
请将正确答案的字母填在答题纸的表格内。
） 1．下列经济现象与经济学道理对应正确的是( )①看广告也看疗效――求实心理主导的消费②优质优价――使用价值越大商品价格越高③效率即生命――个别劳动生产率影响收益④货多不值钱――商品供给越多价格就越低 A．①② B．③④ C．②④ D．①③2．中国人民银行于2 016年开始试点并逐步推广“1元硬币化工程。
”随着1元纸币逐步退出流通市场，现行纸币中的第四套1元纸币的市场价格悄然升高。
可见( )A．“1元纸币”流通速度与所需数量成反比 B．“1元纸币”供求关系变化会影响其价格 C．“1元纸币”执行贮藏手段职能使其增值 D．“1元纸币”的价格随其价值变化而变化3．微信支付是集成在微信客户端的支付功能，用户可以通过手机绑定银行卡享受安全、快捷、高效的支付服务。
与传统的线下支付相比，微信支付( )A．改变货币本质，实现直接变换 B．保证账户安全，提高运营效率 C．创新服务模式，方便购物消费 D．减少现金使用，非常安全有效4．“一个杯子到底能卖多少钱”？第一种：卖产品本身的使用价值，只能买3元/个。
第2种：卖产品的组合价值，卖15元/个。
第3种：卖产品的包装价值，卖288元/个卖得可能更火。
第4种：卖产品的纪念价值，不买2000元/个除非脑子进水。
这充分证明了( )① 价值并非价格的唯一决定因素② 策划创新对产品价值意义重大③ 价格变动对供需均会产生影响④ 企业研究消费者心理十分必要 A．①② B．②③ C．③④ D．②④5．M企业去年生产某商品100万件，创造的价值总量和价格总额均为6 000万元，如果今年生产该商品的社会劳动生产率提高25％，货币贬值20％，M企业创造的价格总额不变，其他条件不变，则今年M企业的劳动生产率 ( )A.下降了25％B.没有变化C.提高了25％D.提高了20％6．产能利用率（实际产能/设计产能×100%）在75%以下即可称之为产能过剩，假设2021年甲省某企业粗钢设计产能约200万吨，粗钢价格2200元/吨，产能利用率为70%。
山西省山大附中高三物理(9月)第一学期模块诊断试题
山西大学附中2015-2016学年高三第一学期9月模块诊断物理试题一、单选题（共6小题，每题5分，共30分，每题只有一个正确答案，答对得5分，错选或不选得0分）1．下表给出了一些金属材料的逸出功。
现用波长为400nm 的单色光照射上述材料，能产生光电效应的材料最多有几种( )(普朗克常量h=6.6×10-34 J ·s ，光速c=3.0×108m/s)A ．2种B ．3种C ．4种D ．5种2．在氢原子光谱中，电子从较高能级跃迁到n=2能级发出的谱线属于巴耳末线系。
若一群氢原子自发跃过时发出的谱线中只有2条属于巴耳末线系，则这群氢原子自发跃迁时最多可发出不同频率的谱线的条数为（ ） A ．3 B.4 C.6 D.83.原子从一个能级跃迁到另一个较低的能级时，有可能不发射光子，例如在某种条件下，铬原子的n ＝2能级上的电子跃迁到n ＝1能级上时并不发射光子，而是将相应的能量转交给n ＝4能级上的电子，使之能脱离原子，这一现象叫做俄歇效应，以这种方式脱离了原子的电子叫做俄歇电子，已知铬原子的能级公式可简化表示为2n AE n -=，式中n ＝1、2、3……表示不同能级，A 是正的已知常数， 上述俄歇电子的动能是（ ） A ．A 163B ．A 167C ．A 1611D ．A 1613 4．一质点做初速度为零的匀加速直线运动，则此质点在第1个2 s 内、第2个2 s 内和 第5 s 内的位移之比为 ( )A ．2∶5∶6B ．2∶6∶9C ．1∶3∶9D ．4∶12∶95．汽车刹车后开始做匀减速运动，第1s 内和第2s 内的位移分别为3m 和2m ，那么从2s 末开始，汽车还能继续向前滑行的最大距离是（ ） A ．1.5m B ．1.25m C ．1.125m D ．1m6．一带电小球由空中某点A 无初速度地自由下落，在t 秒末速度大小为v 1，同时立即加上竖直方向且范围足够大的匀强电场，再经过2t 秒小球又回到A 点，且速度大小为v 2。
山西省山大附中高二数学(9月)第一学期模块诊断试题
山西大学附中 2015~2016学年高二第一学期9月（总第一次）模块诊断数学试题考查时间：100分钟 命题人：高二备课组一、选择题：（本题共有10个小题，每小题3分，共30分;在每小题给出的四个选项中只有一项是正确的.）1．已知+∈∈R y R x ,,集合{}1,,12---++=x x x x A ,⎭⎬⎫⎩⎨⎧+--=1,2,y y y B .若B A =,则22y x +的值是A ．5B ．4C ．25D ．102．定义在R 上的奇函数()f x 满足(3)()f x f x +=-，且(1)2f =，则(2013)(2015)f f +=A ．0B ．6C ．2-D ．43．在ABC ∆中，3sin 5A =，5cos 13B =，则cosC = A ．1665或5665 B ．16566565-或- C ．1665- D ．16654．已知函数⎩⎨⎧>-≤+=0,420,1)(x x x x f x ，若函数])([a x f f y +=有四个零点，则实数a 的取值范围为A ．)2,2[-B ．)5,1[C ．)2,1[D ．)5,2[-5．已知点G 是ABC ∆重心,(),AG AB AC R λμλμ=+∈u u u r u u u r u u u r,若120A ∠=o,2AB AC ⋅=-u u u r u u u r则AG 的最小值是A ．3 B ．23 C ．22 D ．346．如图，在ABC ∆中，ο60=∠B ，ο45=∠C ，高3=AD ， 在BAC ∠内作射线AM 交BC 于点M ，则1<BM 的概率为A ．52B ．53C ．51D ．547．样本（12,,,n x x x L ）的平均数为x ，样本（12,,m y y y L ）的平均数为()y x y ≠，若样本（12,,,n x x x L ，12,,m y y y L ）的平均数(1)z ax a y =+-，其中102α<<，则mn ,的大小关系为A ．n m <B ．n m >C ．n m =D ．不能确定8．已知ABC ∆,若对任意R t ∈,AC BC t BA ≥-,则ABC ∆一定为A ．锐角三角形B ．直角三角形C ．钝角三角形D ．斜三角形 9．定义域为R 的函数()f x 满足()()[)22,0,2f x f x x +=∈当时，()[)[)232,0,1,1,1,2,2x x x x f x x -⎧-∈⎪⎪=⎨⎛⎫⎪-∈ ⎪⎪⎝⎭⎩若[)4,2x ∈--时，()142t f x t ≥-恒成立，则实数t 的取值范围是A ．(]2,-∞-B ．(]1,0C ．()()1,02,⋃-∞-D ．(](]1,02,⋃-∞- 10．已知O 是锐角ABC ∆的外心，22tan =A .若m BC C B 2sin cos sin cos =+，则=m A ．33 B ．23 C ．3 D ．35二、填空题：（本大题共5小题，每小题4分，共20分.）11．设R a ∈,若当()+∞--∈,1a x 时，不等式()()01lg 12≥+++-a x a x 恒成立，则=a ________．12．已知函数)()(,0,lg )(b f a f b a x x f =>>=，则b a b a -+22的最小值等于 ．13．已知函数x x x x x f cos 52sin cos sin )(++=⎪⎭⎫ ⎝⎛≤≤20πx ，则函数)(x f 的最大值为 ．14．已知定义域为R 的函数)(x f 满足：①对任意的实数x ，都有)(2)2(x f x f =+; ②当[]1,1-∈x 时，x x f 2cos)(π=.记函数)1(log )()(4+-=x x f x g ,则函数)(x g 在区间[]10,0内的零点个数是___ _． 15．给出下列四个命题：①当01x x >≠且时，有1ln 2ln x x+≥；②ABC ∆中， sin sin A B >当且仅当A B >；③已知n S 是等差数列{}n a 的前n 项和，若75S S >，则93S S >； ④函数(1)y f x =+与函数(1)y f x =-的图像关于直线1x =对称．其中正确命题的序号为 ． 三、解答题 16．（本小题满分10分）定义在R 上的函数)(x f ，对任意的R x ∈有)()(2)()(y f x f y x f y x f =-++，且0)0(≠f .（1）求)0(f 的值；（2）若存在非零实数c ，使0)2(=c f ，试问)(x f 是否是周期函数，若是周期函数，则求出周期．17．（本小题满分10分）已知1,0≠>a a ，数列{}n a 是首项为a ，公比也为a 的等比数列，记n nn a a b lg =)(*∈N n .（1）求数列{}n b 的前n 项和n S ；（2）若数列{}n b 中每一项总小于它后面的项，求a 的取值范围．18. （本小题满分10分）向量a =⎪⎭⎫ ⎝⎛23sin ,23cosx x ，b =⎪⎭⎫ ⎝⎛-2sin ,2cos x x ，且⎥⎦⎤⎢⎣⎡∈2,0πx ，设()2f x a b a b λ=⋅++r r r r.（1）求)(x f 的解析式； （2）若函数)(x f 的最小值是23-，求实数λ的值．19．（本小题满分10分） 设△ABC 的三边为,,a b c 满足（1（220．（本小题满分10分）设函数()f x =的最大值为()g a ，其中a 为实数.（1）设x x t -++=11，求t 的取值范围，并把()f x 表示为t 的函数()h t ； （2）求()g a ．山西大学附中 2015~2016学年高二第一学期9月（总第一次）模块诊断数学参考答案一、选择题： ACDCB AABDA 二、填空题：11．6； 12．22； 13.．31； 14．10； 15．②③ 三、解答题：16．（1）证明：),()(2)()(y f x f y x f y x f =-++Θ1)0(0)0(),0()0(2)0()0(,0=∴≠=+==f f f f f f y x Θ（2）是，周期为2c 证明：将x 换成2c x +，将y 换成2c ，且0)2(=cf 得： 0)2()2(2)22()22(=+=-++++cf c x f c c x f c c x f ，)()(x f c x f -=+∴)()2(),()2(x f c x f c x f c x f =+∴+-=+∴，故)(x f 是周期为2c 的周期函数.17．(1)()()[]nn a na n a aa S -+--=111lg 2,lg lg ,1a na a na b a a a a n n n n n n ===⋅=-anaa a n a a a a aS a na a a a a a a S n nn n n lg lg )1(lg 2lg 1lg lg 3lg 2lg 13232++-++⨯+⨯=++⨯+⨯+=ΛΛ两式作差得：a na a a a a a a a a S a n n n lg lg lg lg lg )1(132+-++++=-Λ所以()()[]nn a na n a aa S -+--=111lg 2(2),1>a 或210<<a 由[],0)1(lg lg )1(lg 11<+-⋅⇒⋅+<⋅⇒<++a n n a a aa n a a nb b n n n n n 当10,10)1(,0,0lg ,10+<<∴+<⇒>+-⇒><<<n na n n a a n n a a a n当1,10)1(,0,0lg ,1>∴+>⇒<+-⇒>>>a n na a n n a a a n所以1>a 或10+<<n n a 又211,21≥+∴≤+n n n n ，所以,1>a 或210<<a 18. （1）x x x f cos 42cos )(λ-=解：()2cos 24cos f x a b a b x x λλ=⋅++=-r r r r（2）21=λ 解：22()cos 24cos 2(cos )21f x x x x λλλ=-=--- 若,341)(,1min -<-=>λλx f 与题意不符； 若,1)(,0min -=<x f λ与题意不符； 若[]21,1,0,2312,12)(,1022min =∴∈-=----=<≤λλλλλx f 19【解析】：（1）cos cos b c a B a C +=+， 1分所以sin sin sin cos sin cos B C A B A C +=+， 2分 所以sin()sin()sin cos sin cos A C A B A B A C +++=+， 3分 所以sin cos cos sin sin cos cos sin sin cos sin cos A C A C A B A B A B A C +++=+ 所以cos sin cos sin 0A C A B +=， 4分 即cos (sin sin )0A C B += 5分分 分分分分 20. 解：（1）x x t -++=11，要使有t 意义，必须1+x≥0，且1-x≥0，即-1≤x≤1， ∴t 2=2+2 21x -∈[2，4] ①∴t 的取值范围[]2,2．（2分）由①得 121122-=-t x ， ∴h(t)=a t at t t a -+=+-2221)121(，[]2,2∈t ．（4分）（2）由题意知g （a ）即为函数h(t)a t at -+=221，[]2,2∈t 的最大值．注意到直线a t 1-=是抛物线h(t)a t at -+=221的对称轴，分以下几种情况讨论．当a ＞0时，由,01<-=at 知h(t)在[]2,2单调递增，2)2()(+==a h a g ．当a=0时，h(t)=t ，[]2,2∈t ，2)(=a g当a<0时，若[],2,01∈-=at ，即2)2()(,22==-≤h a g a ； 若(],2,21∈-=at ，即aa a h a g a 21)1()(,2122--=-=-≤<-若(),,21+∞∈-=a t ，即2)2()(,021+==<<-a m a g a。
山西大学附中高中数学高二开学诊断20160816
山西大学附中2016～2017学年高二第一学期9月（总第一次）模块诊断数学试题考查时间：90分钟一、选择题（本大题共12小题，每小题3分，共36分）1. 设b a 、是正实数，以下不等式恒成立的序号为 （ ） ①b a ab ab +>2，② b b a a -->，③ 22234b ab b a ->+，④ 22>+abab A ．①、③ B. ①、④ C ．②、③ D ． ②、④2. 在数列{}n a 中，23n a n =+，前n 项和2,n S an bn c n =++∈*N ，其中c b a ,,为常数，则a b c -+= （ ） A ．3- B.4- C ．5- D ．6-3. 若不等式222424mx mx x x +-<+对任意实数x 均成立，则实数m 的取值范围是（ ）A ．(2,2]- B.(2,2)- C ．(,2)[2,)-∞-+∞ D ．(,2]-∞4. 已知点(1,1)A -、(1,2)B 、(2,1)C --、(3,4)D ，则向量AB 在CD 方向上的投影为AC．． 5. 已知数列{}n a 满足130n n a a ++=，243a =-，则{}n a 的前10项和等于（ ） A ．106(13)--- B ．101(13)9- C ．103(13)-- D ．103(13)-+6.已知210cos 2sin ,=+∈αααR ，则=α2tan （ ） A ．34 B.43C ．43-D ．34- 7. 在△ABC 中，若,2tan 12tan 1)12cos 2(222B BbA a +-=-则△ABC 是( ) A ．等腰三角形 B.直角三角形 C ．等腰直角三角 D ．等腰或直角三角形 8.将函数sin ()y x x x =+∈R 的图象向左平移(0)m m >个单位长度后，所得到的图象关于y 轴对称，则m 的最小值是A ．π12B ．π6C ．π3D ．5π69. 在ABC ∆中，角C B A ,,的对边分别为c b a ,,，如果0sin sin 2)2cos(<++B A C B ，那么三边长c b a ,,之间满足的关系是（ ）A ．22c ab > B ．222c b a <+ C ．22a bc > D ．222a cb <+ 10. 已知函数()()ϕ+=x x f 2sin ,其中ϕ为实数,若()()6f x f π≤对R ∈x 恒成立,且()()2f f ππ<.则下列结论正确的是 A.11211-=⎪⎭⎫ ⎝⎛πf B.⎪⎭⎫⎝⎛>⎪⎭⎫ ⎝⎛5107ππf f C.()x f 是奇函数D.()x f 的单调递增区间是()Z ∈⎥⎦⎤⎢⎣⎡+-k k k 6,3ππππ11. 已知ABC ∆的外接圆半径为1，圆心为O ，且3450O A O B O C ++=，则 OC AB ⋅的值为（ ）A. 15- B.15 C. 65- D.65 12．已知点G 是ABC ∆的重心,且11,tan tan tan AG BG A B Cλ⊥+=,则实数λ的值为( ) A.13B.12C.3D.2二．填空题（每小题3分，共12分）13. 数列{}n a 为等比数列，其前n 项的乘积为n T ，若82T T =，则10T ＝ .14.在ABC ∆中，角,,A B C 所对的边分别是,,a b c 若222,4b c a bc AC AB +=+∙=且，则ABC ∆的面积等于 ． 15. 已知数列{}n a 为正项等差数列，满足141121≤+-k a a (其中*∈N k 且2≥k )，则k a 的最小值为_16．如图，在正方形ABCD 中，E 为AB 的中点，P 为以A 为圆心，AB 为半径的圆弧上的任意一点，设向量的最小值为则μλμλ++=,AP DE AC ． 三．解答题：（本大题共5小题，共52分．解答应写出文字说明，证明过程或演算步骤．）17. （本小题10分） 已知数列{}n a 满足13a =，*133()n n n a a n N +-=∈，数列{}n b 满足3nn n a b =. （1）证明数列{}n b 是等差数列并求数列{}n b 的通项公式； （2）求数列}{n a 的前n 项和n S .18. （本小题10分）设△ABC 的三边为,,a b c 满足 （Ⅰ）求A 的值； （Ⅱ）求2cos 322cos222CB +的取值范围． 19. （本小题10分）某隧道长m 2150，通过隧道的车辆速度不能超过s m /20．一列有55辆车身长都为m 10的同一车型的车队(这种型号车能行驶的最高速度为s m /40)，匀速通过该隧道，设车队的速度为s xm /，根据安全和车流量的需要，当100≤<x 时，相邻两车之间保持m 20的距离；当2010≤<x 时，相邻两车之间保持)3161(2x x +米的距离．自第1辆车车头进入隧道至第55辆车车尾离开隧道所用时间为)(s y ．（1）将y 表示为x 的函数；（2）求车队通过隧道时间y 的最小值及此时车队的速度．(73.13≈)．20. （本小题12分）三角形ABC 中，角C B A ,,所对应的边分别为c b a ,,面积为S ． （1）若AB →·AC →S 32≤，求A 的取值范围；（2）若3:2:1tan :tan :tan =C B A ，且1=c ，求b ．21．（本小题10分）已知数列{}n a 的前n 项和为n S ，且满足2n S n =，数列{}n b 满足11+=n n n a a b ，n T 为数列{}n b 的前n 项和。
山西省山西大学附中2017届高三上学期诊断物理试卷(10月份) 含解析
2016—2017学年山西省山西大学附中高三(上)诊断物理试卷(10月份）一、选择题(本题共14小题，每小题4分，共56分．在每小题给出的四个选项中,第1～7题只有一个选项正确，第8~15题有多个选项正确，全部选对得4分，选对但不全得2分，有错或不答得0分)．1．如图所示，A、B两物块叠放在一起,在粗糙的水平面上保持相对静止地向右做匀减速直线运动，运动过程中B受到的摩擦力()A．方向向左，大小不变B．方向向左，逐渐减小C．方向向右,大小不变D．方向向右，逐渐减小2．如图，一不可伸长的轻质细绳跨过滑轮后，两端分别悬挂质量为m1和m2的物体A和B．若滑轮有一定大小，质量为m且分布均匀，滑轮转动时与绳之间无相对滑动,不计滑轮与轴之间的摩擦．设细绳对A和B的拉力大小分别为T1和T2，已知下列四个关于T1的表达式中有一个是正确的，请你根据所学的物理知识，通过一定的分析判断正确的表达式是（)A．T1=B．T1=C．T1=D．T1=3．如图,一质量为m的正方体物块置于风洞内的水平面上，其一面与风速垂直，当风速为v0时刚好能推动该物块．已知风对物块的推力F正比于Sv2，其中v为风速、S为物块迎风面积．当风速变为2v0时,刚好能推动用同一材料做成的另一正方体物块,则该物块的质量为（）A．64m B．32m C．8m D．4m4．如图，滑块A置于水平地面上，滑块B在一水平力作用下紧靠滑块A（A、B接触面竖直），此时A恰好不滑动,B刚好不下滑．已知A与B间的动摩擦因数为µ1，A与地面间的动摩擦因数为µ2，最大静摩擦力等于滑动摩擦力．A与B的质量之比为（)A． B．C．D．5．如图所示，在光滑的水平面上有一个质量为M的木板B处于静止状态，现有一个质量为m的木块A从B的左端以初速度v0=3m/s开始水平向右滑动，已知M＞m．用①和②分别表示木块A和木板B的图象，在木块A从B的左端滑到右端的过程中，下面关于二者速度v随时间t的变化图象,其中可能正确的是（）A．B．C．D．6．如图所示为一种常见的身高体重测量仪．测量仪顶部向下发射波速为v的超声波，超声波经反射后返回，被测量仪接收,测量仪记录发射和接收的时间间隔．质量为M0的测重台置于压力传感器上,传感器输出电压与作用在其上的压力成正比．当测重台没有站人时,测量仪记录的时间间隔为t0，输出电压为U0，某同学站上测重台，测量仪记录的时间间隔为t，输出电压为U,则该同学的身高和质量分别为（）A．v（t0﹣t）,U B．v(t0﹣t），UC．v(t0﹣t），（U﹣U0）D．v（t0﹣t），（U﹣U0）7．如1图，为伽利略研究自由落体运动实验的示意图，让小球由倾角为θ的光滑斜面滑下，然后在不同的θ角条件下进行多次实验,最后推理出自由落体运动是一种匀加速直线运动．分析该实验可知,小球对斜面的压力、小球运动的加速度和重力加速度与各自最大值的比值y 随θ变化的图象分别对应图2中（）A．①②和③B．③②和①C．②③和①D．③①和②8．如图所示，小木箱ABCD的质量M=1。