浙江省五校联考2020学年高中英语第一次试题新人教版

浙江省海曙区五校联考2023-2024学年中考英语对点突破模拟试卷含答案注意事项：1．答题前，考生先将自己的姓名、准考证号填写清楚，将条形码准确粘贴在考生信息条形码粘贴区。

2．选择题必须使用2B铅笔填涂；非选择题必须使用0．5毫米黑色字迹的签字笔书写，字体工整、笔迹清楚。

3．请按照题号顺序在各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。

4．保持卡面清洁，不要折叠，不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。

Ⅰ. 单项选择1、I enjoy the party very much，but I ________ go home. It's too dark.A．have to B．may C．mustn't D．can't2、The Adventures of Tom Sawyer is _______ great book. My favourite part of _______ book is when Tom and Huck start their adventures on the island.A．a; a B．a; the C．the; 不填D．不填; the3、Which of the following words has the same sound as the underlined letters of the word “ th eatre”?A．though B．through C．therefore4、--Honey, stay home before I return.---I _______, mum.A．must B．can C．will D．should5、This year our school is__________than it was last year.A．much more beautiful B．much beautifulC．the most beautiful D．beautiful6、—What should I do, doctor?—________ healthy, you should take more exercise.A．Keep B．To keepC．Keeping D．To keep out7、— Would you mind my using your camera?—Sorry, there’s _______ with it.A．wrong something B．wrong anythingC．anything wrong D．something wrong8、If you don’t go to the meeting tomorrow, ________ ?A．he will, too B．he won’t, either C．he does, too D．he doesn’t either9、It' s reported that the sand storm' s moving __ the southern part of China.A．beside B．with C．below D．towards10、—Do you know that 1,000,000,000 people are using WeChat?—Yes. It by more and more people around the world.A．accept B．accepted C．is accepted D．was acceptedⅡ. 完形填空11、For most of the Tibet trip, things went all right for Yang, but there was one moment when he felt embarrassed and uneasy."That was at Nam Co," he says. "A girl and I wanted to go back to Lhasa, but we couldn't get a free 1 until 3 or 4 o'clock in the afternoon when a pickup truck came and 2 to take us." But there was only one 3 for them. Yang is a gentleman, so he gave the seat to the girl, but he 4 all of his things on the truck.When he realized his mistake, it was already too late. He couldn't 5 up with the truck, and he didn't have a cell phone to call the police or the girl. He had to walk alone 6 the road. "I walked for hours on the road, and I 7 worried about the worst result —— that I may die of thirst or freeze to death," he says. He was 8 enough to finally catch a bus to Lhasa, where he met the girl again and got what he had left on the truck.The trip didn't only 9 Yang good memories and friends but also beautiful photos. He used these photos to make postcards and 10 them on his campus. "I earned some money from this business, which will be enough for my next trip, "Yang says.1．A．trip B．ride C．ticket D．opportunity2．A．advised B．promised C．agreed D．supported3．A．seat B．truck C．person D．thing4．A．took B．carried C．forgot D．left5．A．keep B．put C．come D．catch6．A．at B．across C．along D．through7．A．ever B．even C．still D．also8．A．sad B．pleased C．lucky D．late9．A．bring B．make C．offer D．impress10．A．show B．sell C．send D．postⅢ. 语法填空12、Many students have hobbies, such as reading, painting, growing vegetables in their gardens, and looking 1．animals. Some hobbies are relaxing and others are creative（有创造性的）. Hobbies can make you 2．(grow) as a person,develop your interests and help you learn new skills.David Smith is a student. His hobby is writing. 3．the summer of 2000, he spent four weeks on a summer camp. As well as the usual activities, such 4．sailing, climbing and mounting biking, there was a writing workshop with a profession writer. “She asked us 5．(imagine) that we were in a story. Then we wro te about our experiences at the camp.”In senior high school David 6．a story about teenage life. Many teenagers love his book, and as a result, David has become a 7．(success) young writer.David has been very lucky8．his hobby has brought him enjoyment and success to 9．(he). But he is also interested in many other things. “I like playing volleyball, too.” says David. “I spend some of my free tim e 10．volleyball for my school team. Maybe I’ll write more books in the future, but I’m not sure.”There are many other interesting things to do in life, and we should try to do something new or different.Ⅳ. 阅读理解A13、Buying clothes in a busy shop can be a bad thing. But shopping online can be a bit hit-and-miss. Sometimes you can’t find what you like. So shopping online is not an easy thing. This has led to a number of companies’ owners to come up with a new idea--interactive mirrors(互动试衣镜）in shops that let you try on different clothes with different colors and patterns(样式）without putting on or taking off by yourself.Now the scientists have made the latest interactive mirrors in the USA．The interactive mirror uses a new kind of technique(技术) to show how clothes will fit. It was founded by a person named Salvador Nissi Vilcovsky who was from California. There is a little device(装置) like a computer behind the mirror. First, we should store kinds of clothes including colors and patterns in the mirror. Then, when the customers stand in front of the mirror, the shop assistant only uses hand gestures. Through the gestures, there will be different kinds of pictures in the mirror. The pictures show the right customer in different clothes without any changing. The shop assistant can change different colors, patterns and sizes, and the smart mirror will remember top two best choices, so the customer can compare and contrast. It also lets people see clothes from different angles(角度) without straining(用力拉）their neck or using a wall of mirrors. In 2014, the technology was introduced into Neiman Marcus stores in San Francisco, and later, Texas. It was widely welcomed by the shopowners and the customers. Maybe, we can see one of these interactive mirrors in a shop in China in the near future.根据短文所提供的信息选择最佳答案1．If we stand in front of an interactive mirror, we should to see which sweater fits us best.A．put on different clothes B．use hand gestures C．strain our neck2．The underlined word hit-and-miss in the passage means “” in Chinese.A．合适的B．错过的C．碰巧的3．According to the passage, Picture can show the picture in the interactive mirror.A．B．C．4．Which of the following is TRUE?A．The interactive mirrors are the same as mirrors at both the usage(使用）and the structure(结构).B．We don’t have to try on the clothes to decide which on is the most suitable because of the interactive mirrors. C．The interactive mirrors have been put into use all around the world.5．From the passage, can be the best title.A．The Development of the ShopsB．Strange Invention Changed the USAC．the Interactive Mirrors Go into Our LifeB14、Evolution (进化) has changed ou r bodies and faces over thousands of years, and it’s still happening. Here’s how experts predict (预测) what people will be like in 1,000 years.We’ll be about 1.83~2.13 metres tall because of improved nutrition (营养) and medical science. Our arms and fingers will get longer to reduce the need to reach too far.We’ll have smaller brains, maybe because computers will help us memorize and think most of the things.There will be larger eyes and smaller mouths. And there may be fewer teeth as softer food needs less chewing and biting. We could even get our nutrition from liquids or pills in the future.We can expect other great changes too. Everyone will have the same shape of noses. That’s because climate will have less influence on noses with the help of air conditioning and central heating. Besides, we will have more wrinkles (皱纹) as a result of looking at our electronic devices.We also may end up with saggy (松弛的) necks because extra sun will cause loose skin. And there will be darker skin as people move around the planet and races (种族) mix.根据材料内容选择最佳答案，并将其标号填入题前括号内。

2021学年第二学期五校联考试题高三年级英语学科命题：杭州高级中学考生须知：1．本卷满分150分，考试时间120分钟；2．答题前，在答题卷指定区域填写学校、班级、姓名、试场号、座位号及准考证号；3．所有答案必须写在答题卷上，写在试卷上无效；4．考试结束后，只需上交答题卷。

第I卷（选择题部分）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纸上。

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，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What is the man going to do at the weekend?A.Watch a film.B.Do some gardening.C.Go skating.2.What time is it now?A.10:12.B.10:20.C.10:32.3.What are the speakers most probably talking about?A.A book.B.An actor.C.A film.4.Why will the man leave early?A.He is not feeling well.B.He has to attend a meeting.C.He has a doctor's appointment.5.Where does the conversation most probably take place?A.In a shop.B.In a meeting room.C.In a garage.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。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。

【附20套高考模拟试题】【省级联考】浙江省2020届高考模拟卷（一）英语试卷含答案【省级联考】浙江省2020届高考模拟卷（一）英语试卷第一部分（共20小题每，小题1.5分，满分30分）1．—Don’t make a special journey to pick up the laundry for me.—It’s OK. I ________ to the shop anyway.A．was going B．will have goneC．have gone D．will be going2．The man ________ the fake news that 18 firefighters lost their lives in the explosion was arrested. A．having circulating B．to circulateC．circulating D．to have circulated3．Youth is a period of our life we see no limit to our hopes and wishes.A．where B．thatC．what D．when4．US slang is hugely ______ thanks to the many different ethnic groups that have settled in the country. A．delicate B．dynamic C．diverse D．desperate5．—May I use your new dictionary?—It' s over there．____．A．Feel free B．Never mind C．My pleasure D．It's OK6．Some people are able to multitask well—they can two or more businesses at the same time very well.A．turn to B．relate toC．lead to D．attend to7．Personally speaking, ________the grand blueprint into reality is a long process.A．turning B．turnC．turned D．having turned8．---Nowadays, buyers accustomed to prices moving upward just adopt a wait-and-see attitude.---If they continue to _____, then our company is closing down.A．fish in the air B．sit on the fenceC．fly off the handle D．beat around the bush9．What made them miss the deadline was not their lack of funding, but ________ their lack of planning. A．even B．still C．rather D．ever10．---I went to see The Wandering Earth last night. It was fantastic!---You were so lucky! How I wish I _____ the ticket too.A．get B．gotC．had got D．would get11．—Uncle Wang is in hospital.—Oh, really? I ____________. I _____________ go and visit her.A．didn’t know; am going to B．hadn’t kn own; wouldC．haven’t known; will D．didn’t know; will12．Mr. White, who ________ in Shanghai for seven years, is a manager of a company in Beijing.A．was working B．workedC．had worked D．has worked13．The businessman studied the market in his hometown to find the____ for investment.A．potential B．reservation C．criterion D．allowance14．This semester our school offers many optional courses for the students, _______ appeals to many students.A．each of which B．all of whomC．each of whom D．all of which15．While watching television, ____.A．the doorbell rang B．we heard the doorbell ringC．there was someone knocking at the door D．the doorbell was ringing16．A heavy sandstorm is going to envelop our city. It is unwise to have your car .A．wash B．washedC．washing D．to wash17．I have no doubt that he will make it, but I wonder_____ he is really ready enough.A．what B．whyC．whether D．That18．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 feet19．Don’t forget to send ______ attended the conference a follow-up email.A．however B．whateverC．whoever D．wherever20．More competitive high-tech enterprises are investing in Nantong Central Innovation District, which will result in _____ economic growth.A．sustainable B．adaptable C．recyclable D．changeable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。

浙江省宁波地区2012-2013学年度九年级英语第一学期五校第一次联考试卷人教新目标版考生须知：全卷分试题卷Ⅰ、试题卷Ⅱ和答题卷Ⅰ、答题卷Ⅱ。

试题卷共8页，有10个大题。

满分为110分，考试时间为100分钟。

试题卷IⅠ. 听小对话, 选择图片（共5小题；每小题1分，满分5分）1. How did Paul go to Shanghai?2. What is Jenny going to do this weekend?3. Where does the dialogue probably happen?4. Which animal does Tom keep as a pet?5. When will Jim go to Japan?Ⅱ. 听小对话，回答问题（共5小题; 每小题1分，满分5分）6. What's the girl's last name?A. Mary.B. Gina.C. Green.7. How was Peter's school trip?A. It was boring.B. It was fun.C. It was bad.8. Do they think there will be robots in people's homes?A. No, there won't.B. Yes, there will.C. We don't know.9. Whose dictionary is it?A. Jim's.B. Mike's.C. Lucy's.10. What's the relationship between the two speakers?A. Husband and wife.B. Teacher and student.C. Doctor and patient.Ⅲ. 听长对话，回答问题（共5小题; 每小题1分，满分5分）听下面一段较长的对话，回答第11至12两小题。

第1页，共12页2020-2021学年高三年级第一学期第一次五校联考数学试题一、单项选择题（本大题共8小题，共40.0分） 1.函数f(x)=√1−x +lg(3x −1)的定义域为( )A. ( 13,1] B. ( 0,1]C. (−∞,13)D. (0,13) 2.已知log 2a >log 2b ，则下列不等式一定成立的是( )A. 1a >1bB. log 2(a −b)>0C. (13)a<(12)bD. 2a−b <13.已知f(x)是定义在R 上的偶函数，且在[0,+∞)上是增函数，f(2)=0，则不等f(log 2x)>0的解集为( )A. (0,14)B. (4,+∞)C. (14,1)∪(4,+∞)D. (0,14)∪(4,+∞)4.我国著名数学家华罗庚先生曾说：数缺形时少直观，形缺数时难入微，数形结合百般好，隔裂分家万事休. 在数学的学习和研究中，常用函数的图象来研究函数的性质，也常用函数的解析式来琢磨函数的图象的特征，如函数(1)e sin ()e 1x x xf x =-+在区间ππ(-,)22上的图象的大致形状是( ) A ． B ．C ．D ．5.已知x >0,y >0,lg4x +lg2y =lg8，则12x +4y 的最小值是( )．A. 3B. 94C. 4615D. 96．已知函数()sin f x x x =+，x ∈R ，若()2log 3a f =，13log 2b f ⎛⎫= ⎪⎝⎭，()22c f -=则,,a b c 的大小为（ ） A ．a b c >> B ．a c b >>C ．c b a >>D ．b a c >>27．已知命题：，；命题q: ，，若、都为真命题，则实数的取值范围是（ ）A ．B ．C ．D ．8.已知函数f (x )=x (lnx −ax )有两个极值点，则实数a 的取值范围是( )A. (−∞,0)B. (0,12)C. (0,1)D. (0,+∞)二、不定项选择题（本大题共4小题，共20.0分，每小题全对得5分，部分对得3分，有错得零分）9.若直线y =12x +b 是函数f (x )图象的一条切线，则函数f (x )可以是( )A. f (x )=1xB. f (x )=x 4C. f (x )=sinxD. f (x )=e x10．设正实数mn 、满足2m n +=，则下列说法正确的是( ) A ．2n m n+的最小值为3 B ．mn 的最大值为1 C的最小值为2 D ．22m n +的最小值为211.下列命题中正确命题的是( )A .已知a ，b 是实数，则“(13)a <(13)b ”是“log 3a >log 3b ”的充分而不必要条件； B .∃x ∈(−∞,0)，使2x <3x ；C.设x =θ是函数f(x)=3sinx −cosx 的一个极值点，则sin2θ+2cos 2θ=−25 D.若角α的终边在第一象限，则sinα2|sin α2|+cosα2|cos α2|的取值集合为{−2,2}．12.高斯是德国著名的数学家，近代数学奠基者之一，享有“数学王子”的称号，他和阿基米德、牛顿并列为世界三大数学家，用其名字命名的“高斯函数”为：设，用[x ]表示不超过x 的最大整数，则y =[x]称为高斯函数，例如：[−3.5]=−4，[2.1]=2.已知函数f (x )=e x1+e x−12，则关于函数g (x )=[f (x )]的叙述中正确的是( ) A. g (x )是偶函数B. f (x )是奇函数C. f (x )在R 上是增函数D. g (x )的值域是{−1,0,1}三、填空题（本大题共4小题，共20.0分）13.已知扇形的圆心角为2π3，半径为5，则扇形的面积S =______．14.已知函数f(x)=lg(√x 2+1+x)+a ，且f(ln3)+f(ln 13)=1，则a =______． 15.已知三个函数ℎ(x )=x 2−2ln x,f(x)=ℎ′(x)−5ln x −5ln 2，g(x)=ℎ(x)+2ln x −bx +4.若∃x 1∈(0,1]，∀x 2∈[1,2]，都有f(x 1)≥g(x 2)成立，求实数b 的取值范围16.设f(x)是定义在R 上的偶函数，且f(2+x)=f(2−x)，当x ∈[−2,0]时，f(x)=(√22)x −1，若在区间(−2,6)内关于x 的方程f(x)−log a (x +2)=0(a >0)有3个不同的根，则a 的范围是 ．p x ∀∈R 220mx +>x ∃∈R 2210x mx -+≤p q m [1,)+∞(,1]-∞-(,2]-∞-[1,1]-第3页，共12页四、解答题（本大题共6小题，共70.0分） 17.（本题共10分）已知角α为第一象限角，且sinα=√55． (1)求cosα，tanα的值； (2)求3sin(π−α)−2cos(π+α)cos(π2−α)的值．18.（本题共12分）已知集合A ={x|y =log 2(−4x 2+15x −9),x ∈R }，B ={x||x −m |⩾1,x ∈R }(1)求集合A ；(2)若p ：x ∈A ，q ：x ∈B ，且p 是q 的充分不必要条件，求实数m 的取值范围． 19.（本题共12分）已知函数f(x)=ax 2+2x +c ，(a,c ∈N ∗)满足：①f(1)=5；②6<f(2)<11．(1)求函数f(x)的解析式；(2)若对任意的实数x ∈[12,32]，都有f(x)−2mx ≤1成立，求实数m 的取值范围．。

衢州五校联盟2022学年第一学期高二年级期末联考英语试题（答案在最后）第Ⅰ卷考生须知：1.本卷共8页满分150分，考试时间120分钟；2.答题前，在答题卷指定区域填写班级、学号和姓名；考场号、座位号写在指定位置；3.所有答案必须写在答题纸上，写在试卷上无效；4.考试结束后，只需上交答题纸。

第一部分听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. Why hasn’t the woman been smiling recently?A. She is feeling sad.B. Her tooth got broken.C. There is nothing funny to smile at.2. What is the man going to do?A. Wait for an ambulance.B. Drive to the hospital.C. Order a taxi.3. What size does the man want?A. Size 8.B. Size 9.C. Size 10.4. How does the man feel now?A. Tired.B. Sick.C. Hungry.5. Which place is the man moving out of?A. His house.B. The dormitory.C. The woman’s apartment.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。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

2024年浙江省五校联盟高三3月联考数学试题卷命题：浙江省杭州第二中学一、选择题：本题共8小题，每小题5分，共40分.在每小题给出的四个选项中，只有一项符合题目要求.1.若全集U ，集合,A B 及其关系如图所示，则图中阴影部分表示的集合是（）A.()U A B ðB.()U A B ðC.()U BA ð D.()U A B ð2.已知(1,2)a =r，2b =r ，且a b ⊥r r ，则a b -r r 与a 的夹角的余弦值为（）A.B.C.D.3.设,b c 表示两条直线，,αβ表示两个平面，则下列说法中正确的是（）A.若,b c αα⊂∥，则b c ∥B.若,b c b α⊂∥，则c α∥C.若,c αβα⊥∥，则c β⊥ D.若,c c αβ⊥∥，则αβ⊥4.已知角α的终边过点(3,2cos )P α-，则cos α=（）A.2B.2-C.2± D.12-5.设等比数列{}n a 的公比为q ，前n 项和为n S ，则“2q =”是“{}1n S a +为等比数列”的（）A.充分不必要条件B.必要不充分条件C.充要条件D.既不充分也不必要条件6.已知实数,x y 满足3x >，且2312xy x y +-=，则x y +的最小值为（）A.1+ B.8C. D.1+7.已知双曲线2222:1(0,0)x y C a b a b-=>>的左、右焦点分别为12,F F ，点A 为双曲线的左顶点，以12F F 为直径的圆交双曲线的一条渐近线于,P Q 两点，且23PAQ π∠=，则该双曲线的离心率为（）A.B.C.213D.8.在等边三角形ABC 的三边上各取一点,,D E F ，满足3,90DE DF DEF ==∠=︒，则三角形ABC 的面积的最大值是（）A. B. C.D.二、选择题：本题共3小题，每小题6分，共18分.在每小题给出的选项中，有多项符合题目要求.全部选对的得6分，部分选对的得部分分，有选错的得0分.9.在学校组织的《青春如火，初心如炬》主题演讲比赛中，有8位评委对每位选手进行评分（评分互不相同），将选手的得分去掉一个最低评分和一个最高评分，则下列说法中正确的是（）A.剩下评分的平均值变大B.剩下评分的极差变小C.剩下评分的方差变小D.剩下评分的中位数变大10.在三棱锥A BCD -中，已知3,2AB AC BD CD AD BC ======，点,M N 分别是,AD BC 的中点，则（）A.MN AD⊥B.异面直线,AN CM 所成的角的余弦值是78C.三棱锥A BCD -的体积为3D.三棱锥A BCD -的外接球的表面积为11π11.已知函数()(sin cos )x f x e x x =⋅+，（浦江高中数学）则（）A.()f x 的零点为,4x k k Z ππ=-∈B.()f x 的单调递增区间为32,2,22k k k Z ππππ⎡⎤++∈⎢⎥⎣⎦C.当0,2x π⎡⎤∈⎢⎥⎣⎦时，若()f x kx ≥恒成立，则22k e ππ≤⋅D.当10031005,22x ππ⎡⎤∈-⎢⎥⎣⎦时，过点1,02π-⎛⎫⎪⎝⎭作()f x 的图象的所有切线，则所有切点的横坐标之和为502π三、填空题：本题共3小题，每小题5分，共15分.12.直线3430x y -+=的一个方向向量是________.13.甲、乙两人争夺一场羽毛球比赛的冠军，比赛为“三局两胜”制.如果每局比赛中甲获胜的概率为23，乙获胜的概率为13，则在甲获得冠军的情况下，比赛进行了三局的概率为________.14.已知函数()f x 及其导函数()f x '的定义域均为R ，记()()g x f x ='，若(21),(2)f x g x --均为偶函数，且当[1,2]x ∈时，3()2f x mx x =-，则(2024)g =________.四、解答题：本题共5小题，共77分.解答应写出文字说明、证明过程或演算步骤.15.（本小题满分13分）如图，斜三棱柱111ABC A B C -的底面是直角三角形，90ACB ∠=︒，点1B 在底面ABC 内的射影恰好是BC 的中点，且2BC CA ==.（1）求证：平面11ACC A ⊥平面11B C CB ；（2，求平面1ABB 与平面11AB C 夹角的余弦值.16.（本小题满分15分）已知函数()ln f x x ax =-，其中a R ∈.（1）若曲线()y f x =在1x =处的切线在两坐标轴上的截距相等，求a 的值；（2）是否存在实数a ，使得()f x 在(0,]x e ∈上的最大值是3-？若存在，求出a 的值；若不存在，说明理由.17.（本小题满分15分）记复数的一个构造：从数集中随机取出2个不同的数作为复数的实部和虚部.重复n 次这样的构造，可得到n 个复数，将它们的乘积记为n z .已知复数具有运算性质：()()()()a bi c di a bi c di +⋅+=+⋅+，其中,,,a b c d R ∈.（1）当2n =时，记2z 的取值为X ，求X 的分布列；（2）当3n =时，求满足32z ≤的概率；（3）求5n z <的概率n P .18.（本小题满分17分）在平面直角坐标系xOy 中，我们把点*(,),,x y x y N ∈称为自然点.按如图所示的规则，将每个自然点(,)x y 进行赋值记为(,)P x y ，例如(2,3)8P =，(4,2)14,(2,5)17P P ==.（1）求(,1)P x ;（2）求证：2(,)(1,)(,1)P x y P x y P x y =-++;（3）如果(,)P x y 满足方程(1,1)(,1)(1,)(1,1)2024P x y P x y P x y P x y +-+++++++=，求(,)P x y 的值.19.（本小题满分17分）在平面直角坐标系xOy 中，过点(1,0)F 的直线l 与抛物线2:4C y x =交于,M N 两点(M 在第一象限）.（1）当||3||MF NF =时，求直线l 的方程；（2）若三角形OMN 的外接圆与曲线C 交于点D （浦江高中数学）（异于点,,O M N ），（i ）证明：MND ∆的重心的纵坐标为定值，并求出此定值；（ii ）求凸四边形OMDN 的面积的取值范围.参考答案一、选择题：本题共8小题，每小题5分，共40分. 在每小题给出的四个选项中，只有一项是符合要求的.题号 1 2 3 4 5 6 7 8 答案CBDBCACA选对的得6分，部分选对的得部分分，有选错的得0分．题号 9 10 11 答案BCABDACD12. 3(1,)4 (答案不唯一) 13.2514. 6− 四、解答题：本大题共5小题，共77分.解答应写出文字说明、证明过程或演算步骤. 15.（本小题满分13分）（第Ⅰ问，6分；第Ⅱ问，7分）解：（Ⅰ）取BC 中点为M ，连接1B M ，∵1B 在底面内的射影恰好是BC 中点， ∴1B M ⊥平面ABC ，又∵AC ⊂平面ABC ,∴1B M AC ⊥， 又∵90ACB ∠=，∴AC BC ⊥， ∵1,B M BC ⊂平面11B C CB ，1B MBC M =，∴AC ⊥平面11B C CB ，又∵AC ⊂平面11ACC A ，∴平面11ACC A ⊥平面11B C CB .（Ⅱ）以C 为坐标原点，建立如图所示空间直角坐标系，∵2BC CA ==， ∴11(2,0,0),(0,2,0),(0,1,0),(0,1,3),(0,1,3),A B M B C − 111(2,1,3),(2,2,0),(0,2,0)AB AB B C =−=−=−，设平面1BAB 的法向量为(,,)n x y z =，∴100n AB n AB ⎧⋅=⎪⎨⋅=⎪⎩则有230220x y z x y ⎧−++=⎪⎨−+=⎪⎩，令3,z =则3x y ==，∴(3,3,3)n =，设平面1BAB 的法向量为(,,)m a b c =，∴1110m AB m B C ⎧⋅=⎪⎨⋅=⎪⎩则有23020a b c b ⎧−++=⎪⎨−=⎪⎩，令3a =则0,2b c ==，∴(3,0,2)n =，∴||535|cos ,|||||7993304n m n m n m ⋅<>===++⨯++，平面1ABB 与平面11AB C 夹角的余弦值为57.16.（本小题满分15分）（第Ⅰ问，6分；第Ⅱ问，9分）∴f (x )的最大值是f (e)＝1－a e ＝－3，解得a ＝4e >0，舍去；②当a >0时，由f ′(x )＝1x －a ＝1－ax x ＝0，得x ＝1a，当0<1a <e ，即a >1e 时，∴x ∈⎝⎛⎭⎫0，1a 时，f ′(x )>0；x ∈⎝⎛⎭⎫1a ，e 时，f ′(x )<0， ∴f (x )的单调递增区间是⎝⎛⎭⎫0，1a ，单调递减区间是⎝⎛⎭⎫1a ，e ， 又f(x )在(0，e]上的最大值为－3，∴f (x )max ＝f ⎝⎛⎭⎫1a ＝－1－ln a ＝－3，∴a ＝e 2； 当e≤1a ，即0<a ≤1e 时，f (x )在(0，e]上单调递增，∴f (x )max ＝f (e)＝1－a e ＝－3，解得a ＝4e >1e，舍去．综上，存在a 符合题意，此时a ＝e 217.（本小题满分15分） （第Ⅰ问，6分；第Ⅱ问，4分；第Ⅲ问，5分） （Ⅰ）由题意可知，可构成的复数为{}11i +， 且1112i i ====+=+=.X 的可能取值为1234,,，()11221166119C C P X C C ⋅===⋅,(1142116629C C P X C C ⋅===⋅,()11421166229C C P X C C ⋅===⋅,()11221166139C C P X C C ⋅===⋅,(1142116629C C P X C C ⋅===⋅,()11221166149C C P X C C ⋅===⋅,所以分布列为：（Ⅱ）共有666216C C C ⋅⋅=种， 满足32z ≤的情况有：①3个复数的模长均为1，共有1112228C C C ⋅⋅=种；②3个复数中，2个模长均为1，12，共有2111322448C C C C ⋅⋅⋅=种； 所以()38487221627P z +≤==. （Ⅲ）当1n =或2时，显然都满足，此时1n P =； 当3n ≥时，满足5n z <共有三种情况： ①n 个复数的模长均为1，则共有()122nn C =；②1n −个复数的模长为1，剩余12，则共有()11111242n n n n C C C n −−+⋅⋅=⋅；③2n −个复数的模长为1，剩余2或者2，则共有()()22111124412n n n n C C C C n n −−+⋅⋅⋅=−⋅.故()()()()211216212*********n n n n n nnnn n n n n P z C ++++⋅+−⋅+<===，此时当12n ,=均成立.所以()21253n nn P z +<=.18. （本小题满分17分）（第Ⅰ问，4分；第Ⅱ问，7分；第Ⅲ问，6分） 解：（Ⅰ）根据图形可知()()1,11232x x P x x +=++++=， （Ⅱ）固定x ，则(),P x y 为一个高阶等差数列，且满足()(),1,1P x y P x y x y +−=+−，()()1,,P x y P x y x y +−=+,所以()()()()()1,1,112112y y P x y P x y y x y x ++−=++++−=+−,()()()()11,1122y y x x P x y y x +++=+−+,所以()()()()()11,1122x x y y P x y x y +−=++−−,()()()()()111,2122x x y y P x y x y −−−=++−−，所以()()()()()()()()()()221111,11,21122222322,x x y y y y x x P x y P x y x y y x x y xy y x P x y −−++++−=++−−++−+=++−−+=（Ⅲ）()()()()1,1,11,1,12024P x y P x y P x y P x y +−+++++++=,等价于()()()(),,11,1,12023P x y P x y P x y P x y +++++++=,等价于()(),131,2023P x y P x y +++=,即()()()()()()131211212202322x x y y x x x y y x +++−++++−+=⎡⎤⎡⎤⎣⎦⎣⎦,化简得()()2221010121010y xy x y x x y x y x ++−+=⇔+−++=,由于x y +增大，()()1x y x y +−+也增大，当31x y +=时，()()129921010x y x y x +−++<<,当33x y +=时，()()1210561010x y x y x +−++>>,故当32x y +=时，()()1210109,23x y x y x x y +−++=⇒==， 即()91023229,2382247422P ⨯⨯=++⨯=.19. （本小题满分17分）（第Ⅰ问，4分；第Ⅱ问，5分；第Ⅲ问，8分） 解：（Ⅰ）设直线MN ：1x my =+，1122(,),(,)M x y N x y联立241x xy y m =+=⎧⎨⎩，消去x ，得2440y my −−=，所以12124,4y y m y y +=⋅=−，3MF NF =，则123y y =−∴122212224,34y y y m y y y +=−=⋅=−=−，则213m=，又由题意0,m >∴3m =，直线的方程是y =（Ⅱ）（ⅰ）方法1：设112233(,),(,),(,)M x y N x y D x y因为,,,O M D N 四点共圆，设该圆的方程为220x y dx ey +++=，联立22204x y dx ey y x⎧+++=⎨=⎩，消去x ，得()42416160y d y ey +++=，即()()3416160y y d y e +++=，所以123,,y y y 即为关于y 的方程()3416160y d y e +++=的3个根，则()()()()312341616y d y e y y y y y y +++=−−−，因为()()()()()32123123122313123y y y y y y y y y y y y y y y y y y y y y −−−=−+++++−，由2y 的系数对应相等得，1230y y y ++=，所以MND ∆的重心的纵坐标为0.方法2：设112233(,),(,),(,)M x y N x y D x y ，则1213234444,,,OM ON MD ND k k k k y y y y y y ====++， 因为,,,O M C N 四点共圆，所以MON MDN π∠+∠=，即tan tan 0MON MDN ∠+∠=，21124()tan 116OM ON OM ON k k y y MON k k y y −−∠==+⋅+，1213234()tan 1()()16ND MD ND MD k k y y MDN k k y y y y −−∠==+⋅+++，化简可得：312y y y =−−， 所以MND ∆的重心的纵坐标为0.（ⅱ）记,OMN MND △△的面积分别为12,S S ，由已知得直线MN 的斜率不为0 设直线MN ：1x my =+，联立241x xy y m =+=⎧⎨⎩，消去x ，得2440ymy −−=，所以12124,4y y m y y +=⋅=−，所以1121122S OF y y =⋅⋅−==， 由（i ）得，()3124y y y m =−+=−， 所以()22233114444x y m m ==⨯−=，即()24,4D m m −， 因为()212122444MN x x m y y m =++=++=+，点D 到直线MN的距离d =，所以()22211448122S MN d m m =⋅⋅=⋅+=−，所以)221281181S S S m m =+=+−=+− M 在第一象限，即120,0y y ><，340y m =−<，依次连接O ，M ，D ，N 构成凸四边形OMDN ，所以()3122y y y y =−+< ，即122y y −<，又因为124y y ⋅=−，2242y y <，即222y <，即20y <<，所以122244m y y y y =+=−>=，即4m >，即218m >，所以)218116S m m =+−=设t =4t >， 令()()2161f t t t =−，则()()()2221611614816f t t t t t '='=−+−−，因为4t >，所以()248160f t t −'=>，所以()f t在区间,4∞⎛⎫+ ⎪ ⎪⎝⎭上单调递增， 所以()42f t f ⎛⎫>= ⎪⎪⎝⎭， 所以S的取值范围为,2∞⎛⎫+ ⎪ ⎪⎝⎭.。

1 第Ⅰ卷 考生须知： 1.本卷共8页满分150分，考试时间120分钟； 2.答题前，在答题卷指定区域填写班级、学号和姓名；考场号、座位号写在指定位置； 3.所有答案必须写在答题纸上，写在试卷上无效； 4.考试结束后，只需上交答题纸。 第一部分听力（共两节，满分30分） 第一节（共5小题；每小题1.5分，满分7.5分） 听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1. Why hasn’t the woman been smiling recently? A. She is feeling sad. B. Her tooth got broken. C. There is nothing funny to smile at. 2. What is the man going to do? A. Wait for an ambulance. B. Drive to the hospital. C. Order a taxi. 3. What size does the man want? A. Size 8. B. Size 9. C. Size 10. 4. How does the man feel now? A. Tired. B. Sick. C. Hungry. 5. Which place is the man moving out of? A. His house. B. The dormitory. C. The woman’s apartment. 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。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。 听第6段材料，回答第6、7题。 6. How long has the woman been writing her blog? A. For 50 days. B. For 6 months. C. For 10 months. 7. When does the woman do most of her writing? A. On Wednesdays. B. On Saturdays. C. On Sundays. 听第7段材料，回答第8至10题。 8. What has happened to the man? A. He has got married. B. He has made a sale. C. He has been promoted. 9. What will the speakers do tonight? A. Eat out. B. Go for a drive. C. Visit a friend. 10. Who is the woman? A. The man’s wife. B. The man’s manager. C. The man’s co-worker. 听第8段材料，回答第11至13题。 2

高一英语 试题卷 第1页（共12页） 2020学年浙江新教材高一上英语期末考试语法填空汇编1.2020学年第一学期温州市高一期末教学质量统一检测阅读下面材料，在空白处填入适当的内容(1个单词)或括号内单词的正确形式。

Paul and I are on our school basketball team, The Lions. My favorite player is LeBron James (勒布朗詹姆斯)while Paul's favorite player is Tyrone Bogues (蒂尼博格斯).Actually, we agree that they 56(be) both champions.Bogues is only 1.6 metres tall, which made him 57shortest player ever in the NBA. And guess what? Paul is only 1.6 metres tall, too! Paul knows that being shorter than other 58 (player) means that he has to make efforts to practice more. He always 59 (use) Bogues to encourage himself "If Bogues could make it, why not me ?” Though everyone knows Paul has real skills, 60(we) coach has no confidence in him. 61 . Paul still has a strong desire to play for the team and is looking forward to 62 (get) a chance.This week, there will be a competition between The Lions and The Bears, a team which 63(win) many matches last year. It will be a 64 (difficulty) one. Paul doesn't know if he'll soon get the chance 65 means a lot to him.56.are 57.the 58. players 59. uses 60. our 61. However 62. getting 63. difficult 64. won65. that/which2.2020学年第一学期绍兴市高一期末教学质量统一检测阅读下面材料，在空白处填入适当的内容（1 个单词）或括号内单词的正确形式。