江西省南昌市第二中学2019届高三英语上学期期末考试试卷(含解析)
【校级联考】江西省临川一中,南昌二中,九江一中2019届高三第一次联考语文试题(原卷版)
江西省重点中学协作体2019届高三第一次联考语文试卷2019.2命题人：南昌二中胡慧琼、黄雯吉安县立中学尹贤明本试卷分第I卷（阅读题）和第Ⅱ卷（表达题）两部分。
满分150分，考试用时150分钟。
第I卷阅读题（共70分）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，完成下面小题。
在人类由传统社会走向信息社会的过程中，与科技对艺术助力的震撼和艺术对科技批判的震惊相比，科技对于艺术的发威、震慑或制约是一种“含蓄的震慑力”。
现代社会以科技为第一生产力，科技理性往往有条件转变为主流意识形态。
那些脱离科学常识的艺术创意受到科技理性的严肃批判，被当成是迷信。
在科技理性兴起之后，神话与传说渐渐退出历史舞台，因为它们是不可由同行复制并检验的。
科技并不是以在幻想中征服自然力为目标，而是实实在在驾驭自然力。
因此，当科技昌明之际，神话就销声匿迹了。
与之遭受类似挤压的还有仙妖、魔法、玄幻之类精神产品。
这是现代性的题中应有之义。
艺术历来被视为人类特有的活动、才能或产品。
尽管如此，进入信息时代之后，不仅是那些需要学徒吃苦耐劳的艺术复制环节逐渐被相对轻松的数码加工所取代，那些需要真人演员通过涉险展示勇气与才华的角色逐渐被数码特效所取代，并且，那些本来仰仗天才、灵感、直觉、顿悟的领域也渐渐为人工智能所蚕食，目前的人工智能还处于由人设计和应用的阶段，虽然在感知、记忆、应对、决策等方面显示出某种与人类智能相似的特征，但既没有自身需要以及由此发展出来的动机、态度，也没有独立意志和世界观、人生观、价值观。
因此，人工智能在艺术领域仍然是人类的助手而已。
不过，许多人早就预言上述局面发生根本变化的“奇点”。
这种质变是否会真的发生，只有历史发展才能回答。
如今，科技与艺术互动的平台已经不限国家，甚至也不限于区域性国家联盟，而是联合国这样的世界性组织。
科技交流更多被当成硬实力输出，艺术交流被当成软实力输出，通过艺术展示科技实力（或者通过科技展示艺术实力）则构成了巧实力的一种形态。
山东省昌乐县第二中学2020届高三上学期期末英语拉链试题一含答案
2019-2020年高三英语上学期期末考试拉练（一）注意事项：1.答卷前，考生务必将自己的姓名、考生号等填写在答题卡上和试卷指定的位置上。
2.回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动，用橡皮擦干净后，再选涂其它答案标号。
回答非选择题时，将答案写在答题卡上。
写在本试卷上无效。
3.考试结束后，将本试卷和答题卡一并交回。
第一部分阅读（共两节，满分50分）第一节（共15小题；每小题2.5分，满分37.5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。
ABecome a Volunteer and Make a DifferenceThe First Tee,as an outstanding youth development organization,is always searching for good people that want to volunteer at one of our many Pittsburgh area locations.We’re Looking for You!Developed with input from leading experts in the field of positive youth development,our program focuses on making participants stronger and more confident through decision-making and exploring options,inspiring the golfers of tomorrow to look to the future,set goals,and unlock their potential.We also need more volunteers to make The First Tee possible.Opportunities include:Assistant Coach:assist in our weekly golf clinics.All that we request is that you make a7-week commitment(one day per week),for2hours each week.Each clinic is led by one of our trained staff members who creates a written lesson plan for our volunteers to follow.Database Manager:input data entry of participants,volunteers,and community relation records and update chapter information for Home Office and community relations.The database manager is expected to update the data a minimum of every other week.Equipment Manager:organize and sort donated equipment,get rid of unfit equipment,and arrange equipment for distribution to participants at least once a week.Greeter:register participants,hand information to parents,greet visitors,answer phone and provide general program information.Process of Becoming a VolunteerBegin by filling out the Google Forms application below.Once Alison Boyle(our Director of Volunteer and Participant Services)receives your completed application,she will contact you for an in-person interview.CLICK HERE to fill out a Volunteer Application via Google FormsFor more information,please contact our Director of Volunteer and Participant Services,Alison Boyle,at aboyle@.1.What does The First Tee Coach Program center on?A.Empowering participants.B.Training professional coaches.C.Attracting more visitors.D.Looking for golf stars.2.If you are good at using computers,which one may you choose to be?A.Greeter.B.Assistant coach.C.Database manager.D.Equipment manager.3.What must one do to become a volunteer at The First Tee?A.Be a good golfer.B.Have an interview.C.Consult Alison Boyle.D.Promise to work7weeks.BWhen Tara Wood brought her daughter to a grocery store to buy the four-year-old some cupcakes, she had no idea that would be a life-changing experience.As Tara pushed her daughter Norah around the store last month,she passed an old man who was by himself.The old man looked cold,until Norah shouted to him,“Hi!It’s my birthday today!”The man stopped and his demeanor changed from distant and serious to warm and friendly.“How old are you today?”the man asked.After some time talking together,Norah asked her mom to take a picture of her with her new friend“Mr Dan”,Dan Peterson,82.They hugged and after ten minutes went their separate ways.That could have been the end of the story.But it is actually the beginning of a special relationship.Tara posted the picture of her daughter and Mr.Dan on Facebook and someone who recognized him reached out to her with his contact information.It turned out that Mr.Dan’s wife died in Marchand he had been suffering from depression and anxiety ever since.The person on Facebook told Tara that it was the first time they had seen Mr.Dan smile since the death of his wife.Knowing that,Tara contacted Mr.Dan,and ever since Norah and the82-year-old have developed a friendship unlike any other.“She has shown me a depth of love,a depth that I didn’t know existed,”Mr.Dan told the reporter.Mr.Dan told Tara that before meeting Norah,he hadn’t had one night of uninterrupted sleep. Anxiety kept him up at all hours and made him restless.After meeting Norah,he said he now sleeps soundly.For Mr.Dan’s82nd birthday on October20,the mother and the daughter brought balloons and presents—and,of course,cupcakes.Mr.Dan will also spend a day around Thanksgiving with Norah and her family.“If you don’t take the time to notice people,you will never know how you can positively impact a life,”Tara Wood said.4.Why did Mr.Dan look cold?A.He felt lonely.B.He disliked little kids.C.He caught a cold.D.He knew little about Norah.5.What does the underlined word“demeanor”in Paragraph2probably mean?A.Words.B.Body.C.Thoughts.D.Attitude.6.How did Tara know more about Mr.Dan?A.From a news reporter.B.From a stranger.C.From a shop assistant.D.From his neighbor.7.What can we learn from the story?A.Giving makes a real difference.B.It is important to respect each other.C.We should not judge a person at first sight.D.Good things will happen if one keeps trying.CA walk through the galleries of Quebec's Montreal Museum of Fine Arts(MMFA)places individuals face-to-face with some43,000artworks ranging from Chinese ceramics(陶瓷制品)to Inuit sculpture.While the visiting is an incredible cultural experience,a group of local physicians will soon be able to prescribe(开处方)museum visits as treatment for some illnesses.Hélène Boyer,vice president of a Montreal-based medical association,explains that museum visits have been shown to increase levels of serotonin,a neurotransmitter(神经传导物质)known asthe"happy chemical"which helps to lift mood.According to Boyer,the small increase in hormones（荷尔蒙）associated with enjoying an afternoon of art is similar to that offered by exercise,making museum prescriptions ideal for the elderly experiencing pain that prevents them from regularly joining in physical activity.The museum visits are designed to improve traditional methods.As Bondil notes,spending time in a peaceful environment can provide a welcome distraction."What is most important is this experience can help them escape from their own pain,"she says."When you enter the museum,you escape from the speed of our daily life.""I am convinced that in the21st century,culture will be what physical activity was for health in the20th century,"said Bondil."Some people would do well to recall that just in the19th century, sports were believed to do harm to the body.Just as doctors now prescribe exercise,they will be able to prescribe a visit to the MMFA."8.What does Hélène Boyer think of museum visits?A.They can cheer people up.B.They can reduce physical activity.C.They can slow down our life pace.D.They can increase levels of art appreciation.9.How do museum visits affect people?A.Stop them concentrating on pain.B.Stop them focusing on traditional methods.C.Encourage them not to be absent-minded.D.Encourage them to slow their steps while walking.10.What does the last paragraph suggest?A.Physical activities were popular in the19th century.B.Sports are considered to be harmful to the body.C.Ideas of treating illnesses are changing over time.D.Doctors prescribe museum visits regularly now.11.What is the main idea of the text?A.Museum visits are ideal for the elderly.B.Happy chemical helps to lift mood.C.Peaceful environment helps escape pain.D.Cultural activities will promote healthDPeople aren’t walking any more---if they can figure out a way to avoid it.I felt superior about this matter until the other day I took my car to mail a small parcel.The journey is a matter of281steps.But I used the car.And I wasn’t in any hurry,either,I had merely become one more victim of a national sickness:motorosis.It is an illness to which I had thought myself immune(免疫的),for I was born in the tradition of going to places on my own two legs.At that time,we regarded25miles as good day’s walk and the ability to cover such a distance in ten hours as sign of strength and skill.It did not occur to us that walking was a hardship.And the effect was lasting.It was Henry Thoreau who showed mankind the richness of going on foot.The man walking can learn the trees,flower,insects,birds and animals,the significance of seasons,the very feel of himself as a living creature in a living world.He cannot learn in a car.The car is a convenient means of transport,but we have made it our way of life.Many people don’t dare to approach Nature any more;to them the world they were born to enjoy is all threat.To them security is a steel river thundering on a concrete road.And much of their thinking takes place while waiting for the traffic light to turn green.I say that the green of forests is the mind’s best light.And none but the man on foot can evaluate what is basic and everlasting.12.What is the national sickness?A.Walking too much.B.Traveling too much.C.Driving cars too much.D.Climbing stairs too much.13.What was life like when the author was young?A.People usually went around on foot.B.people often walked25miles a day.C.People used to cover a distance.D.people considered a ten-hour walk as a hardship.14.What is compared to“a steel river”in Paragraph6?A.A queue of cars.B.A ray of traffic light.C.A flash of lightning.D.A stream of people.15.What is the author’s intention of writing this passage?A.To tell people to reflect more on life.B.To recommend people to give up driving.C.To advise people to do outdoor activities.D.To encourage people to return to walking.第二节（共5小题；每小题2.5分，满分12.5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。
2025届浙江省一级重点中学高三第二次诊断性检测英语试卷含解析
2025届浙江省一级重点中学高三第二次诊断性检测英语试卷考生须知：1．全卷分选择题和非选择题两部分，全部在答题纸上作答。
选择题必须用2B铅笔填涂；非选择题的答案必须用黑色字迹的钢笔或答字笔写在“答题纸”相应位置上。
2．请用黑色字迹的钢笔或答字笔在“答题纸”上先填写姓名和准考证号。
3．保持卡面清洁，不要折叠，不要弄破、弄皱，在草稿纸、试题卷上答题无效。
第一部分（共20小题，每小题1.5分，满分30分）1．You look frozen．Sit down by the fire and I you some hot tea．A．make B．was making C．made D．will make2．I ______ for Shanghai this Saturday, so I want to know when the earliest plane ______.A．leave; takes off B．am leaving; takes offC．leave; is taking off D．am leaving; is taking off3．It was announced that only when the fire was under control __________to return to their homes.A．the residents would be permittedB．had the residents been permittedC．would the residents be permittedD．the residents had been permitted4．— I am so glad to find you at home. Can you do me a favor?— Sure. _______?A．Why not B．What’s upC．How come D．How is it going5．—Alice, why aren’t you at work today?—I a day off．A．have given B．have been given C．gave D．was given6．It was when she first arrived in China _____ she developed a passion for paper-cutting.A．where B．thatC．how D．why7．When he was running after his brother, the boy lost his ___ and had a bad fall.A．balance B．chanceC．memory D．place8．So popular _____ in his adopted hometown that he has been named honorary citizen of Beijing.A．Stephon Marbury isB．Stephon Marbury will beC．is Stephon MarburyD．will Stephon Marbury be9．Parents often tell their children that they __________ take candy from strangers.A．needn't B．wouldn't C．shouldn't D．daren't10．She sat on the top of the stairs _____ her head on her crossed arms and cried.A．for B．when C．with D．while11．The following________________ chosen as the candidates of the competition.A．is B．areC．has D．have12．At the meeting, the headmaster said that the government should prevent such things as hurt children ________again. A．happening B．happen C．to happen D happened13．I’m sure that your letter will get _____attention. They know you’re waiting for the reply.A．continued B．immediate C．careful D．general14．_______ many Chinese holidays are directed towards services remembering ancestors, the Ching Ming Festival is beyond doubt the largest.A．Unless B．SinceC．Once D．While15．Though our football boys are faced with four goals behind, they are still struggling hard in the field to ______. A．face the music B．save faceC．cost their arm and leg D．land on their feet16．Li Hua ____ his money for dollars before he went on a holiday in America.A．exchanges B．has exchangedC．will exchange D．had exchanged17．Double ovens are a good idea, especially ________ you are cooking several meals at a time.A．though B．if C．that D．unless18．As ______ healthier lifestyle is being promoted, the bicycle has also become a tool that keeps people on ______ go. A．the; a B．a; aC．a; the D．a; /19．The laptops made by our company sell best, but nobody could have guessed the place in the market that they________ 20 years ago.A．had had B．had C．were having D．were to have20．John lives ________. He has a very small budget and little money to spend on clothes.A．in the black B．on a shoestringC．over the moon D．at the drop of a hat第二部分阅读理解（满分40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。
云南省景洪市第四中学2019届高三上学期期末考试数学(理)试题Word版含答案
云南省景洪市第四中学2019届上学期期末考试高三数学（理）试题本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。
全卷150分，考试时间120分钟。
第Ⅰ卷（选择题 共60分）注意事项：1．答卷前，请将考号、姓名、班级和座次号等信息正确填涂在答题卡的指定位置。
2．请在答题卡上认真作答，答在试卷上无效。
一、选择题：（每小题5分，共60分） 1. 已知集合}{R x x x A ∈≤=,2|，}{Z x x x B ∈≤=,2|，则=B A ( ))2,0.(A ]2,0.[B }2,0.{C }2,1,0.{D 2.设i 是虚数单位，复数iia -+2是纯虚数，则实数a 等于（ ） 2..-A 2.-B 21.-C 21.D3. 已知向量)1,1(-=，),2(x =，若)(+⊥，则实数x 的值为（ ）0.A 1.B 2.C 4.D4. 在ABC ∆中，已知,30,4,34O A AC AB =∠==则ABC ∆的面积为（ ）38.A 34.B 34.C 或38 3.D5. 从1，2, 3, 4, 5中不放回依次取2个数，事件A=“第1次取到的是奇数”,B =“第2次取到的是奇数”，则=)|(A B P （ ） 51..A 103.B 52.C 21.D 6．如图是一个几何体的三视图（尺寸的长度单位为cm ），则它的体积是（ ）3cm .A.18C.187．某程序框图如图所示，则输出的n 值是( )A ．21B 22C ．23D ．248．若曲线y=2x ax b ++在点(0,)b 处的切线方程式1x y -+=0，则（ ） A ．1a =，1b = B ．1a =-，1b = C ．1a =，1b =- D ．1a =-1b =-9．已知110220x x y x y ≥⎧⎪-+≥⎨⎪--≤⎩，若ax y +的最小值是2，则 a = （ ）A ．1B ．2C ．3D ．410．点A 是抛物线)0(2:21>=p px y C 与双曲线)0,0(1:22222>>=-b a by a x C 的一条渐近线的交点（异于原点），若点A 到抛物线C 1的准线的距离为p ，则双曲线C 2的离心率等于（ ）A ．2B ．3C ．5D ．611．直三棱柱111ABC A B C -中，若90BAC ∠=︒，1AB AC AA ==，则异面直线1BA 与1AC 所成的角等于A .30° B. 45° C. 60° D. 90°12．已知函数2()ln(1)f x a x x =+-在区间(0,1)内任取两个实数p,q ，且p ≠q ，不等式(1)(1)1f p f q p q+-+>-恒成立，则实数a 的取值范围为（ ）A ．[15,)+∞B ．](,15-∞C ．](12,30D ．](12,15-第Ⅱ卷（非选择题 共90分）二、填空题（每小题5分，共20分）13．若21()nx x-展开式中的所有二项式系数和为512，则该展开式中的常数项为 __ __ ．14．已知tan α=且3(,2)2∈παπ，则cos α＝ ． 15．已知定义在R 上的奇函数)(x f 是周期函数，最小正周期是4．当]1,0(∈x 时，21)(x x f =，则(11.5)f = ．16．已知圆C 过点（1，0），且圆心在x 轴的正半轴上，直线l ：y=x ﹣1被该圆所截得的弦长为，则圆C 的标准方程为 _________ ．三、解答题：请写出详细的解题步骤和过程（其中17-21题每题12分，22题10分，共70分）PDCB A 17．已知数列{}n a 的前n 项和为n S ，且2n n S n +=2.（1）求数列}{n a 的通项公式； （2）若*)(,1211N n a a a b n n n n ∈-+=+求数列}{n b 的前n 项和n S .18．如图，在四棱锥P ABCD -中，AB //CD ，AB AD ⊥，4,2AB AD CD ===，PA ⊥平面ABCD ，4PA =.（1）求证：BD ⊥平面PAC ；（2）设点Q 为线段PB 上一点，且直线QC 与平面PAC 所成角的正弦值PQ PB的值．19．某大学志愿者协会有6窑男同学，4名女同学，在这10名同学中，3名同学自数学学院，其余7名同学自物理、化学等其他互不相同的7个学院，现从这10名同学中随机选取3名同学，到希望小学进行支教活 动（每位同学被选到的可能性相同）．（1）求选出的3名同学是自互不相同学院的概率：（2）设X 为选出的3名同学中女同学的人数，求随机变量X 的分布列和数学期望．20．已知椭圆的两个焦点坐标分别是()),，并且经过点⎝⎭.（1）求椭圆的标准方程；（2）若斜率为k 的直线l 经过点()0,2-，且与椭圆交于不同的两点,A B ,求 OAB ∆面积的最大值.21．（本小题满分14分）已知函数x x x f ln 1)(--=（1）求曲线)(x f y =在点))2(,2(f 处的切线方程； （2）求函数)(x f 的极值； （3）对(0,),()2x f x bx ∀∈+∞≥-恒成立，求实数b 的取值范围．22正半轴为极轴建立极坐标系，曲线C 的极坐标方程为2430cos ρρθ-+= （Ⅰ）求直线l 的普通方程和曲线C 的直角坐标方程；（Ⅱ）设点P 是曲线C 上的一个动点，求它到直线l 的距离d 的取值范围．云南省景洪市第四中学2019届高三上学期期末考试数学（理）试题参考答案二 填空题（每小题5分，共20分） 13．84 14．14 15．22- 16．()4322=+-y x 三 解答题（17题-21题每小题12分，第22题10分，共70分） 17．(1)n a n =;(2)2111nn +-+. 18．（1）证明：见解析；（2）PQ PB的值为127=k .19．（1）选出的3名同学是来自互不相同学院的概率为6049；（2）随机变量X 的分布列是：随机变量X 的数学期望5630131032211610)(=⨯+⨯+⨯+⨯=X E ．20．（1）22 1.3x y +=（2 21．（1）02ln 22=--y x ；（2）函数)(x f y =的极小值为0)1(=f , 无极大值；（3）211eb -≤. 22．（Ⅰ）1)2(22=+-y x ;（Ⅱ）]2235,2235[+-.。
2019届湘赣十四校(湖南省长郡中学)、(江西省南昌市第二中学)等高三下学期第一次联考地理试题
湘赣十四校2019届高三联考第一次考试地理试题长郡中学；衡阳八中；永州市回中；岳阳县中；湘潭县中；湘西州民中；九江市中石门一中；皇县一中；益阳市一中；桃源县一中；株洲市二中；麓山国际；江西南昌二中联合命题总分：100 分时量：90 分钟考试时间：2019 年 3 月 9 日 10:00 11:30第I卷选择题（共 44 分）得分：一、选择题（本大题共 22 小题，每小题 2 分，共 44 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。
）读世界某区域图，回答 1-3 题。
1. 关于德温特河水文特征的描述，正确的是A. 无冰期，没有冰雪融水补给B.流量稳定，含沙量小，有冰雪融水补给c.河流有冰期，汛期主要在夏季D. 河流含沙量大，元冰期2. 土壤肥力是土壤水肥气热的协调程度，则图中 M、N 两地的描述，正确的是A M地土壤厚度小于 N地，肥力大于 N地B.M 地土壤厚度和肥力都小于 N 地C.M地土壤厚度大于 N 地，肥力小于 N 地D.M地士壤厚度和肥力都大于 N地3. 图中霍巴特港是各国南极科考征程中重要的补给站，下列关于在该港口补给物资的说法，正确的是A. 是所有南极科考补给港口中距离南极大陆最近的港口B.当地丰富的温带水果和反季节蔬菜是重要补给物资c. 补给物资的时间一般在 11月中旬前后，物资补给和人员短暂休整后往南极D.考察队补给物资的时间一般在 5 月中旬前后，物资补给和人员短暂休整后往南极考察读中国出生人口数及出生率图，图中出生率曲线因人为原因缺失了一段，回答 4- 5 题。
4. 关于图中甲乙两点的说法，正确的是人两点出生人口数和出生率相同，人口政策不同B. 两点出生人口数相同，影响人口增长的政策不相同C 两点出生人口数和影响人口增长的政策都相同D两点人口出生率相同，影响人口增长的政策不一样5. 根据乙以后时间段出生人口数量的变化，下列推测最可能的是A 该时期育龄人口数量变化大，导致人口出生数变化B. 因为出生人口明显增长过快，国家调控人口政策改变，出生人口数量再回归正常C.现行人口政策效果不明显，需要更宽松的人口政策刺激人口增长D. 受人口迁移的影响，出生人口出现明显变化读我国某地区乡村地区空间分布与海族关系图，回答 6-7 题。
2019高考英语三轮冲刺大题提分大题精做15书面表达开放类 含答案解析
书面表达开放类精选大题1.【2019届黑龙江省牡丹江市第一高级中学高三上学期开学摸底考试】假如你是李华，你的父母最近计划生第二胎。
给你校的外籍老师Lucy写信谈谈你的看法。
要求：字数120左右；参考词汇：sibling 兄弟姐妹。
Dear Lucy,I can’t wait to tell you the decision my parents have just made._____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ______________________________________________________________________Yours,Li Hua 【答案】Dear Lucy,I can’t wait to tell you the decision my parents have just made. They plan to give birth to a second child. How exciting it is!Being the only child in the family, most teenagers like me grow up lonely, which will do harm to our psychological health. However, things will change from now on. I am going to have a sibling to play with and share everything with. I will help my parents look after my sibling when he/she is born, ensuring that he/she grows up happily with love and affection all around.However, I am afraid that I know little about how to take good care of a baby and how to set a good example to my future sibling. Could you give me some advice? I am looking forward to your early reply.Yours,Li Hua 【解析】本篇书面表达属于应用文，要求写一封书信。
2019高考英语二轮复习专练模块6--Unit 4-5(附解析)
2019高考英语二轮复习专练模块6--Unit 4-5（附解析）模块6 Unit 4-51.【苏北三市高三年级第三次模拟考试】―What's wrong with him? He seemed upset. ―He had to give up his drawing, not because he wanted ________ that way but because he had to be. A. this B. one C. it D. such2.【中央民族大学附属中学2017-2018高三12月月考】The NDRC has asked major Chinese oil companies, including China National Petroleum and China Petrochemical stable market pricing. A. ensuring B. to be ensured C. to ensure D. having ensured3.【中央民族大学附属中学2017-2018高三12月月考】_______houses are getting more and more expensive, people want to buy one of their own. A. As B. When C. Once D. Though4.【天津市部分区2018届高三质量调查（一）】I had hardly rung the bell ________ the door was opened suddenly, and my son rushed out to greet me. A. before B. until C. as D. since5.【北京市中国人民大学附属中学2018届高三考前热身】The 19th Party Congress drew up a blueprint for China’s development in the next three decades and more. this blueprint into reality, we must be down-to-earth in our approach, take one step at a time as we move forward and deliver solid outcomes. A. Turning B. Turned C. Turn D. To turn6.【北京四中2017-2018学年下学期高二年级期末考试】______, his ideas was accepted by all the people at the meeting. A. Strange as might it sound B. As it might sound strange C. As strange it might sound D. Strange as it might sound7.【北京四中2017-2018学年下学期高二年级期末考试】If he more careful, he would have got much better results in the finals. A. had been B. was C. has been D. were8.【北京师大附中2017-2018学年下学期高一年级期末考试】Going camping in the desert will not be enjoyable __________ you are well prepared. A. because B. when C. unless D. until9.【北京师大附中2017-2018学年下学期高二年级期末考试】_________an opposing idea effectively, you can use the following words and phrases. A. To express B. Expressing C. Expressed D. Being expressed 10.【天津市南开区2017年高考英语模拟试卷（四）】Work _______ they might, they didn’t get the result they expected.A. althoughB. sinceC. asD. as though 11.【江苏省启东中学2018届高三最后一模】―Have you searched the kitchen for your car key? ―No. It was in the study I remember I left it. A. which B. where C. that D. asA 【山西省长治二中、康杰中学、忻州一中等五校2018届高三9月摸底考试英语试题】 The Sydney Opera House has a very interesting history. ___41___ all started in the 1940s, when the Sydney Symphony Orchestra had nowhere to play. The orchestra’s conductor, Eugene Goossens, ask ed the Australian government to think about building a place and government___42___ (final) agreed to build an opera house in 1954. The government held an ___43___ (nation) competition to find a design for the opera house. Many of the 233 designers from around the world ___44___ entered the competition were famous, but the design of an unknown Danish architect ___45___ (name) Jorn Utzom was chosen as the ___46___ (win). While drawing up the plans, Utzon remembered the temples he ___47___ (see) in Mexico before and used them as his inspiration for the base ___48___ the opera house in Sydney. The building of the opera house began in 1958, but Utzon had still not finished his plans. He did not like his first plan as the concrete roof shells did not work. His new idea was ___49___ (make) the shell shapes on the roof into the shape of a ball. That way, the same ball mould (模型) could be used for several roof ___50___ (part). In 1962, the government agreed to the new ball roof idea. The buildingwas completed and in November 1973, the Sydney Opera House was opened by Queen Elizabeth II. B 【山东省德州市2018届高三上学期期中考试英语试卷】Blessed by the pleasant weather, the island province of Hainan is fast becoming known as China’s Florida”,___41___ (draw) masses of retirees escaping the biting cold of their hometowns. “At home in Harbin, it can be-30°C, it is unbearable! But here the climate is ___42___ (suit),” said a 71-year-old woman from the ___43___ (extreme) cold province of Heilongjiang. She ___44___ (move) each winter to Sanya ove r the past eight years. “Here the ___45___ (warm) is better for our health. We find so many people from our province ___46___ we are sure we will not get bored” said Qi Ningxia,___47___ 60-year-old man from Heilongjiang. About 700,000 elderly people come to Sanya every winter, almost doubling ___48___(it) population. Nearly half of these “migratory birds”,___49___ they are called, come from the northern provinces in China. The trend began in 2000 as people began buying Sanya apartments, opening business and persuading friends and family ___50___ (join) them, creating a snowball effect. C 【陕西省咸阳市2017-2018学年高二上学期期末考试英语试题】Nowadays, the life of many people in the world is 104． (affect) by global warming. For example, greenhouse gas has a bad effect 105． both peo ple and environment. The earth’s surface temperature 106． (go) up by about 1 degrees centigrade in the past 100 years. As a matter of fact, we may feel that we can hardly put up with the extremely hot summer and we can’t get accustomed to warm winter. The rise of the earth’s surface temperature has made much 107． (different) to human health, the existence of creatures 108． the balance of ecosystems. There is no doubt that it is human activities that result 109． the bad environment. As a 110． (consequent), conditionspermitting, all countries in the world should try their best. 111． (improve) our environment. Even if our effect is limited, it will 112． (eventual) make a great difference if we keep on 113． (work) together to deal with global warming. Without all people’s joint efforts, what would our future be like?1.【答案】C 【解析】考察it的用法。
辽宁省朝阳市第二高级中学2025届高三压轴卷英语试卷含解析
辽宁省朝阳市第二高级中学2025届高三压轴卷英语试卷请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。
写在试题卷、草稿纸上均无效。
2．答题前，认真阅读答题纸上的《注意事项》，按规定答题。
第一部分（共20小题，每小题1.5分，满分30分）1．Why do many students stick to private tutoring _____ they could easily master such knowledge at school? A．unless B．before C．after D．when2．----Could I ask you a private question?----Sure,A．pardon me B．go ahead C．good idea D．forget it3．Historic sites impress writers with their amazing beauty, which are a great source of ________.A．inspiration B．composition C．occupation D．combination4．.Opening the book, she found in it a white, plain envelope with her name ______ on it.A．to print B．printed C．printing D．print5．In April,2009,President Hu inspected the warships in Qingdao,____ the 60th anniversary of the founding of the PLA Navy.A．marking B．markedC．having marked D．being marked6．her emotion, she buried her face in her hands．A．Controlled B．To control C．Being controlled D．Having controlled7．With a travelling speed of up to 350 kilometres per hour, the railway to be built between Beijing and Shanghai_______ the journey time from 12 hours to 5 hours．A．cuts B．will cut C．is cutting D．has cut8．This is a very interesting book. I’ll buy it，________.A．how much may it cost B．no matter how it may costC．however much it may cost D．whatever may it cost9．—Linda hasn’t shown up yet.—It’s strange. She ____.A．could B．might C．must have D．should have10．—Do you feel like going to the cinema tonight?—Sorry, I ’ m so tired．I ____an early night．A．have B．am having C．have had D．had11．---How’s your tour around the North Lake? Is it beautiful?---It ________ be, but it is now heavily polluted.A．will B．would C．should D．must12．— Do you know anything about British history?—______________. I have no interest in it.A．Take it easy! B．Please don’t bother.C．It’s up to you. D．No. It’s beyond me.13．Never in my life ________ such a beautiful sunrise!A．have I seen B．I have seenC．did I see D．I saw14．_____ the lawyers, volunteers from the Libyan Red Cross Society also joined the efforts in helping the Chinese go home safely.A．Except for B．In spite of C．Apart from D．Instead of15．It is reported the housing prices in some big cities fall in different degrees.A．which B．whatC．that D．where16．The young man, ________ in heavy traffic on the way, got home an hour later than usual.A．catching B．caught.C．having caught D．to be caught17．A mother recognizes the feel of her child’s skin when blindfolded. _________, she can instantly identify her baby’s cry.A．Similarly B．MeanwhileC．Nevertheless D．Accordingly18．The difference in thickness and weight from the earlier version makes the iPad2 more comfortable_______. A．held B．holding C．be held D．to hold19．____ this may sound like a simple process, great care is needed．A．Since B．Once C．Although D．Unless20．---Where is the plane？I can't see it.---It went off its ________________ to keep away from the sudden storm.A．course B．roadC．flight D．direction第二部分阅读理解（满分40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。
湖南省长沙铁路第一中学2019届高三英语上学期第三次阶段性测试试题含解析
某某省某某铁路第一中学2019届高三英语上学期第三次阶段性测试试题（含解析）第一部分听力(共两节，满分30分)做题时，先将答案标在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题；每小题1.5分，满分7.5分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. 【此处可播放相关音频，请去附件查看】What time is it in New York?A. It’s 5:00 pm.B. It’s 7:00 pm.C. It’s 10:00 pm.【答案】B【解析】2. 【此处可播放相关音频，请去附件查看】What do we know about the man?A. He dialed the wrong number.B. He was looking for Philips.C. He invited the woman to have ice cream.【答案】A【解析】3. 【此处可播放相关音频，请去附件查看】What does the man think is important?A. T o be unexpected.B. T o enjoy every song.C. To get what you expect.【答案】A【解析】4. 【此处可播放相关音频，请去附件查看】What may lead to the man finding no job?A. His age.B. His living address.C. His email address.【答案】C【解析】5. 【此处可播放相关音频，请去附件查看】Why isn’t the man’s brother bringing Jennifer to the party?A. They are divorced now.B. They live very far away.C. Jennifer broke her leg.【答案】A【解析】第二节(共15小题；每小题1.5分，满分22.5分)听下面5段对话或独白。
(完整)2019届全国高考高三模拟考试卷数学(理)试题(二)(解析版)
2019届全国高考高三模拟考试卷数学（理）试题（二）（解析版）注意事项：1．答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上，并将准考证号条形码粘贴在答题卡上的指定位置。
2．选择题的作答：每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，写在试题卷、草稿纸和答题卡上的非答题区域均无效。
3．非选择题的作答：用签字笔直接答在答题卡上对应的答题区域内。
写在试题卷、草稿纸和答题卡上的非答题区域均无效。
4．考试结束后，请将本试题卷和答题卡一并上交。
一、选择题：本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求的．1．[2019·南昌一模]已知复数()i2ia z a +=∈R 的实部等于虚部，则a =（ ） A ．12-B ．12C ．1-D ．12．[2019·梅州质检]已知集合{}31,A x x n n ==-∈N ，{}6,8,10,12,14B =，则集合A B I 中元素的个数为（ ） A ．2B ．3C ．4D ．53．[2019·菏泽一模]已知向量()1,1=-a ，()2,3=-b ，且()m ⊥+a a b ，则m =（ ） A ．25B ．25-C ．0D ．154．[2019·台州期末]已知圆C ：()()22128x y -+-=，则过点()3,0P 的圆C 的切线方程为（ ） A ．30x y +-=B ．30x y --=C ．230x y --=D ．230x y +-=5．[2019·东北三校]中国有十二生肖，又叫十二属相，每一个人的出生年份对应了十二种动物（鼠、牛、虎、兔、龙、蛇、马、羊、猴、鸡、狗、猪）中的一种，现有十二生肖的吉祥物各一个，三位同学依次选一个作为礼物，甲同学喜欢牛和马，乙同学喜欢牛、狗和羊，丙同学哪个吉祥物都喜欢，如果让三位同学选取礼物都满意，则选法有（ ） A ．30种B ．50种C ．60种D ．90种6．[2019·汕尾质检]边长为1的等腰直角三角形，俯视图是扇形，则该几何体的体积为（ ）A ．π9B ．π3C ．π6D ．π187．[2019合肥质检]将函数()π2sin 16f x x ⎛⎫=+- ⎪⎝⎭的图象上各点横坐标缩短到原来的12（纵坐标不变）得到函数()g x 的图象，则下列说法正确的是（ ） A ．函数()g x 的图象关于点π,012⎛⎫- ⎪⎝⎭对称B ．函数()g x 的周期是π2C ．函数()g x 在π0,6⎛⎫⎪⎝⎭上单调递增D ．函数()g x 在π0,6⎛⎫⎪⎝⎭上最大值是18．[2019·临沂质检]执行如图所示的程序框图，输出的值为（ ）A ．0B ．12C ．1D ．1-9．[2019·重庆一中]2sin80cos70cos20︒︒-=︒（ ）A ．3B ．1C 3D ．210．[2019·揭阳一模]函数()f x 在[)0,+∞单调递减，且为偶函数．若()21f =-，则满足()31f x -≥-的x 的取值范围是（ ） A ．[]1,5B ．[]1,3C ．[]3,5D ．[]2,2-11．[2019·陕西联考]已知双曲线()2222:10,0x y C a b a b-=>>的右焦点为2F ，若C 的左支上存在点M ，使得直线0bx ay -=是线段2MF 的垂直平分线，则C 的离心率为（ ）AB ．2CD ．512．[2019·临川一中]若函数()f x 在其图象上存在不同的两点()11,A x y ，()22,B x y ，其坐标满足条件：1212x x y y +0，则称()f x 为“柯西函数”，则下列函数：①()()10f x x x x=+>；②()()ln 0e f x x x =<<；③()cos f x x =；④()21f x x =-．其中为“柯西函数”的个数为（ ） A ．1 B ．2 C ．3 D ．4二、填空题：本大题共4小题，每小题5分，共20分．13．[2019·江门一模]已知a 、b 、c 是锐角ABC △内角A 、B 、C 的对边，S 是ABC △的面积，若8a =，5b =，S =，则c =_________．14．[2019·景山中学]已知a ，b 表示直线，α，β，γ表示不重合平面． ①若a αβ=I ，b α⊂，a b ⊥，则αβ⊥；②若a α⊂，a 垂直于β内任意一条直线，则αβ⊥； ③若αβ⊥，a αβ=I ，b αγ=I ，则a b ⊥；④若a α⊥，b β⊥，a b ∥，则αβ∥．上述命题中，正确命题的序号是__________．15．[2019·林芝二中]某传媒大学的甲、乙、丙、丁四位同学分别从影视配音、广播电视、公共演讲、播音主持四门课程中选修一门，且这四位同学选修的课程互不相同．下面是关于他们选课的一些信息：①甲同学和丙同学均不选播音主持，也不选广播电视；②乙同学不选广播电视，也不选公共演讲；③如果甲同学不选公共演讲，那么丁同学就不选广播电视．若这些信息都是正确的，依据以上信息可推断丙同学选修的课程是_______（填影视配音、广播电视、公共演讲、播音主持）16．[2019·河南联考]若一直线与曲线eln y x =和曲线2y mx =相切于同一点P ，则实数m =________．三、解答题：本大题共6大题，共70分，解答应写出文字说明、证明过程或演算步骤．17．（12分）[2019·长郡中学]设正项数列{}n a 的前n 项和为n S n a 与1n a +的等比中项，其中*n ∈N ．（1）求数列{}n a 的通项公式；（2）设()11211n n n n n a b a a +++=-⋅，记数列{}n b 的前n 项和为n T ，求证：21n T <．18．（12分）[2019·维吾尔一模]港珠澳大桥是中国建设史上里程最长，投资最多，难度最大的跨海桥梁项目，大桥建设需要许多桥梁构件．从某企业生产的桥梁构件中抽取100件，测量这些桥梁构件的质量指标值，由测量结果得到如图所示的频率分布直方图，质量指标值落在区间[)55,65，[)65,75，[]75,85内的频率之比为4:2:1．（1）求这些桥梁构件质量指标值落在区间[]75,85内的频率；（2）若将频率视为概率，从该企业生产的这种桥梁构件中随机抽取3件，记这3件桥梁构件中质量指标值位于区间[)45,75内的桥梁构件件数为X ，求X 的分布列与数学期望．19．（12分）[2019·淄博模拟]如图，在四棱锥P ABCD -中，AB CD ∥，1AB =，3CD =，2AP =，23DP =，60PAD ∠=︒，AB ⊥平面PAD ，点M 在棱PC 上．（1）求证：平面PAB ⊥平面PCD ；（2）若直线PA ∥平面MBD ，求此时直线BP 与平面MBD 所成角的正弦值．20．（12分）[2019·泰安期末]已知椭圆()22122:10x y C a b a b+=>>的离心率为2，抛物线22:4C y x =-的准线被椭圆1C 截得的线段长为2．（1）求椭圆1C 的方程；（2）如图，点A 、F 分别是椭圆1C 的左顶点、左焦点直线l 与椭圆1C 交于不同的两点M 、N （M 、N 都在x 轴上方）．且AFM OFN ∠=∠．证明：直线l 过定点，并求出该定点的坐标．21．（12分）[2019·衡水中学]已知函数()23ln f x x ax x =+-，a ∈R ． （1）当13a =-时，求函数()f x 的单调区间；（2）令函数()()2x x f x ϕ'=，若函数()x ϕ的最小值为32-，求实数a 的值．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．（10分）【选修4-4：坐标系与参数方程】[2019·揭阳一模]以原点O 为极点，x 轴的非负半轴为极轴建立极坐标系，已知曲线C 的极坐标方程为22cos 2a ρθ=（a ∈R ，a 为常数）），过点()2,1P 、倾斜角为30︒的直线l 的参数方程满足32x t =+，（t 为参数）．（1）求曲线C 的普通方程和直线l 的参数方程；（2）若直线l 与曲线C 相交于A 、B 两点（点P 在A 、B 之间），且2PA PB ⋅=，求a 和PA PB -的值．23．（10分）【选修4-5：不等式选讲】[2019·汕尾质检]已知()221f x x x =++-的最小值为t ．求t 的值；若实数a ，b 满足2222a b t +=，求221112a b +++的最小值．2019届高三第三次模拟考试卷理 科 数 学（二）答 案一、选择题：本大题共12小题，每小题5分，在每小题给出的四个选项中，只有一项是符合题目要求的． 1．【答案】C 【解析】∵()2i i i 1i 2i 2i 22a a a z -++===--的实部等于虚部，∴122a=-，即1a =-．故选C ． 2．【答案】A【解析】由题意，集合{}31,A x x n n ==-∈N ，{}6,8,10,12,14B =， ∴{}8,14A B =I ，∴集合A B I 中元素的个数为2．故选A ． 3．【答案】A【解析】()()()1,12,312,31m m m m m +=-+-=--a b ，结合向量垂直判定，建立方程，可得12310m m --+=，解得25m =，故选A ． 4．【答案】B【解析】根据题意，圆C ：()()22128x y -+-=，P 的坐标为()3,0， 则有()()2231028-+-=，则P 在圆C 上，此时20113CP K -==--，则切线的斜率1k =， 则切线的方程为3y x =-，即30x y --=，故选B ． 5．【答案】B【解析】若同学甲选牛，那么同学乙只能选狗和羊中的一种，丙同学可以从剩下的10中任意选，∴共有11210C C 20⋅=，若同学甲选马，那么同学乙能选牛、狗和羊中的一种，丙同学可以从剩下的10中任意选，∴共有11310C C 30⋅=，∴共有203050+=种．故选B ． 6．【答案】A【解析】 侧视图是直角边长为1的等腰直角三角形，圆锥的高为1，底面半径为1， 俯视图是扇形，圆心角为2π3，几何体的体积为112ππ113239⨯⨯⨯⨯=．故选A ．7．【答案】C【解析】将函数()f x 横坐标缩短到原来的12后，得到()π2sin 216g x x ⎛⎫=+- ⎪⎝⎭，当π12x =-时，π112f ⎛⎫-=- ⎪⎝⎭，即函数()g x 的图象关于点π,112⎛⎫-- ⎪⎝⎭对称，故选项A 错误；周期2ππ2T ==，故选项B 错误； 当π0,6x ⎛⎫∈ ⎪⎝⎭时，πππ2662x ⎛⎫+∈ ⎪⎝⎭,，∴函数()g x 在π0,6⎛⎫⎪⎝⎭上单调递增，故选项C 正确；∵函数()g x 在π0,6⎛⎫ ⎪⎝⎭上单调递增，∴()π16g x g ⎛⎫<= ⎪⎝⎭，即函数()g x 在π0,6⎛⎫⎪⎝⎭上没有最大值，故选项D 错误．故选C ．8．【答案】A【解析】第一次循环，1k =，cos01S ==，112k =+=，4k >不成立； 第二次循环，2k =，π131cos 1322S =+=+=，213k =+=，4k >不成立； 第三次循环，3k =，32π31cos 12322S =+=-=，314k =+=，4k >不成立； 第四次循环，4k =，1cos π110S =+=-=，415k =+=，4k >成立， 退出循环，输出0S =，故选A ． 9．【答案】C 【解析】∵()2sin 6020cos702sin80cos70cos20cos20︒+︒︒-︒-︒=︒︒2sin 60cos202cos60sin 20cos70cos20︒︒+︒︒-︒=︒2sin 60cos20sin 20cos70cos20︒︒+︒-︒=︒2sin 60cos202sin 603cos20︒︒==︒=︒．故选C ．10．【答案】A【解析】∵函数()f x 为偶函数，∴()()312f x f -≥-=等价于()()32f x f -≥， ∵函数()f x 在[)0,+∞单调递减，∴32x -≤，232x -≤-≤，15x ≤≤，故选A ． 11．【答案】C【解析】()2,0F c ，直线0bx ay -=是线段2MF 的垂直平分线， 可得2F 到渐近线的距离为222F P b b a ==+，即有22OP c b a =-=，由OP 为12MF F △的中位线，可得122MF OP a ==，22MF b =，可得212MF MF a -=，即为222b a a -=，即2b a =，可得221145c b e a a==+=+=．故选C ．12．【答案】B【解析】由柯西不等式得：对任意实数1x ，1y ，2x ，2y ，2222121211220x x y y x y x y +-+⋅+≤恒成立， （当且仅当1221x y x y =取等号）若函数()f x 在其图象上存在不同的两点()11,A x y ，()22,B x y ，其坐标满足条件：222212121122x x y y x y x y +-+⋅+的最大值为0，则函数()f x 在其图象上存在不同的两点()11,A x y ，()22,B x y ，使得OA u u u r，OB u u u r 共线，即存在过原点的直线y kx =与()y f x =的图象有两个不同的交点： 对于①，方程()10kx x x x=+>，即()211k x -=，不可能有两个正根，故不存在； 对于②，，由图可知不存在；对于③，，由图可知存在；对于④，，由图可知存在，∴“柯西函数”的个数为2，故选B ．二、填空题：本大题共4小题，每小题5分，共20分． 13．【答案】7【解析】根据三角形面积公式得到1sin sin 2S ab C C =⨯⇒=∵三角形为锐角三角形，故得到角C 为π3，再由余弦定理得到222π1cos 7322a b c c ab+-==⇒=．故答案为7．14．【答案】②④【解析】对于①，根据线面垂直的判定定理，需要一条直线垂直于两条相交的直线，故不正确， 对于②，a α⊂，a 垂直于β内任意一条直线，满足线面垂直的定理，即可得到αβ⊥， 又a α⊂，则αβ⊥，故正确，对于③，αβ⊥，a αβ=I ，b αγ=I ，则a b ⊥或a b ∥，或相交，故不正确， 对于④，可以证明αβ∥，故正确． 故答案为②④． 15．【答案】影视配音【解析】由①知甲和丙均不选播音主持，也不选广播电视； 由②知乙不选广播电视，也不选公共演讲；由③知如果甲不选公共演讲，那么丁就不选广播电视，综上得甲、乙、丙均不选广播电视，故丁选广播电视，从而甲选公共演讲，丙选影视配音， 故答案为影视配音． 16．【答案】12【解析】曲线eln y x =的导数为e'y x=，曲线2y mx =的导数为2y mx '=，由e2mx x =，0x >且0m >，得x =e 2⎫⎪⎪⎭，代入eln y x =得e 2=，解得12m =，故答案为12．三、解答题：本大题共6大题，共70分，解答应写出文字说明、证明过程或演算步骤． 17．【答案】（1）n a n =；（2）见解析．【解析】（1）∵2n S 是n a 与1n a +的等比中项，∴()221n n n n n S a a a a =+=+， 当1n =时，21112a a a =+，∴11a =．当2n ≥时，22111222n n n n n n n a S S a a a a ---=-=+--，整理得()()1110n n n n a a a a --+--=． 又0n a >，∴()112n n a a n --=≥，即数列{}n a 是首项为1，公差为1的等差数列． ∴()()1111n a a n d n n =+-=+-=． （2）()()()1121111111n n n n b n n n n +++⎛⎫=-⋅=-+ ⎪++⎝⎭，∴21232111111111122334212221n n T b b b b n n n n ⎛⎫⎛⎫⎛⎫⎛⎫⎛⎫=++++=+-+++-++-+ ⎪ ⎪ ⎪ ⎪ ⎪-+⎝⎭⎝⎭⎝⎭⎝⎭⎝⎭L L11121n =-<+． 18．【答案】（1）0.05；（2）见解析．【解析】（1）设区间[]75,85内的频率为x ，则区间[)55,65，[)65,75内的频率分别为4x 和2x ． 依题意得()0.0040.0120.0190.0310421x x x +++⨯+++=，解得0.05x =． ∴这些桥梁构件质量指标值落在区间[]75,85内的频率为0.05．（2）从该企业生产的该种桥梁构件中随机抽取3件，相当于进行了3次独立重复实验， ∴X 服从二项分布(),B n p ，其中3n =．由（1）得，区间[]45,75内的频率为0.30.20.10.6++=， 将频率视为概率得0.6p =．∵X 的所有可能取值为0，1，2，3，且()00330C 0.60.40.064P X ==⨯⨯=，()11231C 0.60.40.288P X ==⨯⨯=，()22132C 0.60.40.432P X ==⨯⨯=，()33033C 0.60.40.216P X ==⨯⨯=．∴X 的分布列为：X P0.0640.2880.4320.216X 服从二项分布(),B n p ，∴X 的数学期望为30.6 1.8EX =⨯=．19．【答案】（1）见解析；（2219565【解析】（1）∵AB ⊥平面PAD ，∴AB DP ⊥，又∵23DP=，2AP=，60PAD∠=︒，由sin sinPD PAPAD PDA=∠∠，可得1sin2PDA∠=，∴30PDA∠=︒，90APD∠=︒，即DP AP⊥，∵AB AP A=I，∴DP⊥平面PAB，∵DP⊂平面PCD，∴平面PAB⊥平面PCD；（2）以点A为坐标原点，AD所在的直线为y轴，AB所在的直线为z轴，如图所示，建立空间直角坐标系，其中()0,0,0A，()0,0,1B，()0,4,3C，()0,4,0D，)3,1,0P．从而()0,4,1BD=-u u u r，)3,1,0AP=u u u r，()3,3,3PC=-u u u r，设PM PCλ=u u u u r u u u r，从而得()33,31,3Mλλλ+，()33,31,31BMλλλ=+-u u u u r，设平面MBD的法向量为(),,x y z=n，若直线PA∥平面MBD，满足BMBDAP⎧⋅=⎪⎪⋅=⎨⎪⋅=⎪⎩u u u u ru u u ru u u rnnn，即)()()31313104030x y zy zx yλλλ-+++-=-=⎨+=，得14λ=，取()3,3,12=--n，且()3,1,1BP=-u u u r，直线BP与平面MBD所成角的正弦值等于33122sin195651565BPBPθ⋅-+===⨯⋅u u u ru u u rnn20．【答案】（1）2212xy+=；（2）直线l过定点()2,0．【解析】（1）由题意可知，抛物线2C的准线方程为1x=，又椭圆1C2，∴点2⎛⎝⎭在椭圆上，∴221112a b+=，①又2cea==，∴222212a bea-==，∴222a b=，②，由①②联立，解得22a=，21b=，∴椭圆1C的标准方程为2212xy+=．（2）设直线:l y kx m =+，设()11,M x y ，()22,N x y ，把直线l 代入椭圆方程，整理可得()222214220k x km m +++-=，()()222222164212216880k m k m k m ∆=-+-=-+>，即22210k m -+>，∴122421kmx x k +=-+，21222221m x x k -=+，∵111FM y k x =+，221FN yk x =+，M 、N 都在x 轴上方，且AFM OFN ∠=∠，∴FM FN k k =-，∴121211y yx x =-++，即()()()()122111kx m x kx m x ++=-++， 整理可得()()1212220kx x k m x x m ++++=，∴()2222242202121m km k k m m k k -⎛⎫⋅++-+= ⎪++⎝⎭，即22224444420km k k m km k m m ---++=，整理可得2m k =， ∴直线l 为()22y kx k k x =+=+，∴直线l 过定点()2,0． 21．【答案】（1）见解析；（2）56-．【解析】（1）13a =-时，()2ln f x x x x =--，则()()()221121x x x x f x x x +---'==， 令()'0f x =，解得12x =-或1x =，而0x >，故1x =，则当()0,1x ∈时，()0f x '<，即()f x 在区间内递减， 当()1,x ∈+∞时，()0f x '>，即()f x 在区间内递增． （2）由()23ln f x x ax x =+-，()123f x x a x'=+-， 则()()23223x x f x x ax x ϕ'==+-，故()2661x x ax ϕ'=+-， 又()()264610a ∆=-⨯⨯->，故方程()0x ϕ'=有2个不同的实根，不妨记为1x ，2x ，且12x x <， 又∵12106x x =-<，故120x x <<，当()20,x x ∈时，()0x ϕ'<，()x ϕ递减， 当()2,x x ∈+∞时，()0x ϕ'>，()x ϕ递增， 故()()322222min 23x x x ax x ϕϕ==+-，①又()20x ϕ'=，∴2226610x ax +-=，即222166x a x -=，②将222166x a x -=代入式，得2222222222222233316112323622x x x x x x x x x x x -+⋅⋅-=+--=--， 由题意得3221322x x --=-，即322230x x +-=，即()()222212230x x x -++=，解得21x =， 将21x =代入式中，得56a =-．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．【答案】（1）222x y a -=，3212x t y =+=+⎧⎪⎪⎨⎪⎪⎩（t 为参数）；（2）2a =±，432． 【解析】（1）由22cos 2a ρθ=得()2222cos sin a ρθθ-=，又cos x ρθ=，sin y ρθ=，得222x y a -=，∴C 的普通方程为222x y a -=， ∵过点()2,1P 、倾斜角为30︒的直线l 的普通方程为)321y x =-+， 由32x =得112y t =+，∴直线l 的参数方程为3212x t y =+=+⎧⎪⎪⎨⎪⎪⎩（t 为参数）． （2）将3212x t y ==+⎧⎪⎪⎨⎪⎪⎩代入222x y a -=，得()()222231230t t a ++-=， 依题意知()()222231830a ∆⎡⎤=-->⎣⎦，则上方程的根1t 、2t 就是交点A 、对应的参数，∵()21223t t a ⋅=-，由参数t 的几何意义知1212PA PB t t t t ⋅=⋅=⋅，得122t t ⋅=， ∵点P 在A 、B 之间，∴120t t ⋅<，∴122t t ⋅=-，即()2232a -=-，解得24a =（满足0∆>），∴2a =±， ∵1212PA PB t t t t -=-=+，又()122231t t +=-， ∴432PA PB -=． 23．【答案】（1）2；（2）1．【解析】（1）()31,12213,1131,1x x f x x x x x x x +≥⎧⎪=++-=+-<<⎨⎪--≤-⎩，故当1x =-时，函数()f x 有最小值2，∴2t =． （2）由（1）可知22222a b +=，故22124a b +++=，∴2222222222212111112121121244b a a b a b a b a b +++++++⎛⎫+++=+⋅=≥ ⎪++++⎝⎭， 当且仅当22122a b +=+=，即21a =，20b =时等号成立，故221112a b +++的最小值为1．。