湘潭县一中自主招生模拟试题(定)
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2006一中提前考试总分80分时量70分钟一.选择题(24分)1. 如图是一台收音机的屏板,当向右调指针(图中黑块)时,所接收的电磁波()A 频率变大,波长变大B 频率变大,波长变小C 频率变大,波长不变D 频率变小,波长变大2. 如图2,大熊猫正抱着一根竹子在镜前欣赏自己的像,此时,它从镜中看到的自身像应该是图3中的哪一个?()3. 如图所示,用水平力F 拉着重为200N的物体,在水平地面上向左匀速移动了5m,物体所受地面的摩擦力大小为40N,则()A 重力做功1000JB 拉力大小为200NC 拉力大小为240ND 拉力做功为200J4. 如图所示,密度均匀的木块浮在水面上,现沿虚线将下部分截去,则浮出水面部分的高度将()A 变大B 不变C 变小D 无法确定5. 如图所示,导线绕成的带铁芯的螺线管接入电路中,弹簧下端所挂的条形磁铁位于螺线管正上方,闭合电键S,弹簧处于伸长状态,为了使弹簧的伸长量变小,下列方法可行的是()A 滑片P向A端滑动B 滑片P向B端滑动C 从下方抽出铁芯D 滑片P不动,改变螺线管中电流方向6.如图所示电路,电源电压为6V,定值电阻的阻值为R0=10Ω,滑动变阻器R阻值的变化范围是0~20Ω,闭合电键S后,在滑动变阻器的滑片P缓慢地从最左端滑至最右端的过程中,下列说法错误的是()A 定值电阻R0消耗的电功率移植增大B 滑动变阻器消耗的电功率先减小后增大C 滑动变阻器两端的电压一直减小D 滑动变阻器消耗的电功率先增大后减小二.填空题(4×6=24分)7. 为了使快速降落的“神舟”六号返回舱安全着陆,返回舱在距离地面几米处,向下迅速喷出高温高压气体。
从开始喷气到安全着陆,返回舱的动能,机械能(填“增大”、“减小”或“不变”)。
8. 如图所示,分别用定滑轮、动滑轮把重力相同的甲、乙两物体在相同时间内匀速提升相同的高度(不计绳重与摩擦,动滑轮重小于物重),则所用拉力F甲F乙,滑轮的机械效η乙(选填“>”、“<”或“=”)。
湘潭县一中自主招生考试赛物理试卷京澳教育培训模拟题(建议时量50分钟,总分60分)(请将答案写在答题卡相应区域内,否则不计分)一、选择题(每题只有一个正确答案,每题4分,共20分)1、一种微波的波动图象如右图所示,则该波频率是( )97A、1.8×10Hz B、5×10Hz-88C、2×10Hz D、5×10Hz2、同种材料制成的几个圆柱体,它们的的质量、粗细、高度各不相同,把它们竖直放在水平桌面上,则( ) A、较高的圆柱体对桌面的压强大 B、较粗的圆柱体对桌面的压强大C、质量较大的圆柱体对桌面的压强大D、它们对桌面的压强一样大3、游泳池边竖直墙上有一只挂钟,某同学看到了水面下挂钟的像如图所示,挂钟指示的时间是( )A、2:35B、10:25C、3:55D、8:054、小红同学用如图所示的装置探究滑动摩擦力的大小与什么因素有关,当用F 的恒力将木板匀速拉出,弹簧秤读数为T,则以下说法正确的是( )A、木板对木块的滑动摩擦力为F-TB、当用2F的力拉木板时,弹簧秤读数为2T,木块受到的摩擦力为2TC、当用2F的力拉木板时,弹簧秤读数为T,木块受到的摩擦力为2F-T 、当用2F的力拉木板时,弹簧秤读数都是T,木块受到的摩擦力为T D5、湘潭市某军工企业特种玻璃厂生产的电空调光玻璃,具有根据光照强度自动调节玻璃透明度的功能。
光照增强,施加于玻璃两端的电压降低,玻璃透明度下降;光照减弱,施加于玻璃两端的电压升高,玻璃透明度上升。
已知光敏电阻R的阻值随光照的增强而变小,R是定值电阻,电源电压不变,则下列电路图中符合要求的是( ) 00二、填空实验题(每空3分,共12分)6、著名短跑运动员卡尔?刘易斯曾以9.86秒跑完100米。
在这次赛跑中,从起跑点算起每10米所用时间分别是:1.88秒、1.08秒、0.92秒、0.89秒、0.84秒、0.84秒、0.84秒、0.83秒。
2022-2023学年湖南省湘潭市某学校数学高职单招模拟考试(含答案)学校:________ 班级:________ 姓名:________ 考号:________一、单选题(10题)1.A.10B.5C.2D.122.直线ax+by+b-a=0与圆x2+y2-x-2=0的位置关系是()A.相离B.相交C.相切D.无关3.下列结论中,正确的是A.{0}是空集B.C.D.4.下列函数是奇函数且在区间(0, 1)内是单调递增的是( )A.y = xB.y = lgxC.y = e xD.y = cosx5.过点A(-1,0),B(0,-1)直线方程为()A.x+y-1=0B.x-y-1=0C.x+y+l=0D.x-y+l=06.已知互相垂直的平面α,β交于直线l若直线m,n满足m⊥a,n⊥β则()A.m//LB.m//nC.n⊥LD.m⊥n7.实数4与16的等比中项为A.-8B.C.88.已知椭圆x2/25+y2/m2=1(m<0)的右焦点为F1(4,0),则m=()A.-4B.-9C.-3D.-59.在等差数列{a n}中,a1=2,a3+a5=10,则a7=()A.5B.8C.10D.1410.cos240°=()A.1/2B.-1/2C./2D.-/2二、填空题(10题)11.若f(X) =,则f(2)= 。
12.13.等比数列中,a2=3,a6=6,则a4=_____.14.过点A(3,2)和点B(-4,5)的直线的斜率是_____.15.若f(x)=2x3+1,则f(1)= 。
16.己知三个数成等差数列,他们的和为18,平方和是116,则这三个数从小到大依次是_____.17.若△ABC 中,∠C=90°,,则= 。
18.已知函数则f(f⑶)=_____.19.设A(2,-4), B(0,4),则线段AB的中点坐标为。
20.五位同学站成一排,其中甲既不站在排头也不站在排尾的排法有_____种.三、计算题(5题)21.已知函数f(x)的定义域为{x|x≠0 },且满足.(1) 求函数f(x)的解析式;(2) 判断函数f(x)的奇偶性,并简单说明理由.22.求焦点x轴上,实半轴长为4,且离心率为3/2的双曲线方程.23.某小组有6名男生与4名女生,任选3个人去参观某展览,求(1) 3个人都是男生的概率;(2) 至少有两个男生的概率.24.有语文书3本,数学书4本,英语书5本,书都各不相同,要把这些书随机排在书架上.(1) 求三种书各自都必须排在一起的排法有多少种?(2) 求英语书不挨着排的概率P。
自主招生模拟试题一、选择题:123二、填空题456789A、B、C、D、10A、B、C、D、二、填空题:11121314151617181、在平面直角坐标系xOy 中,拋物线y = -41-m x 2+45mx +m 2-3m +2与x 轴的交点分别为原点O 和点A ,点B (2,n )在这条拋物线上。
(1) 求点B 的坐标;(2) 点P 在线段OA 上,从O 点出发向点运动,过P 点作x 轴的 垂线,与直线OB 交于点E 。
延长PE 到点D 。
使得ED =PE 。
以PD 为斜边在PD 右侧作等腰直角三角形PCD (当P 点运动 时,C 点、D 点也随之运动)当等腰直角三角形PCD 的顶点C 落在此拋物线上时,求 OP 的长;若P 点从O 点出发向A 点作匀速运动,速度为每秒1个单位,同时线段OA 上另一点Q 从A 点出发向O 点作匀速运动,速度为每秒2个单位(当Q 点到达O 点时停止运动,P 点也同时停止运动)。
过Q 点作x 轴的垂线,与直线AB 交于点F 。
延长QF 到点M ,使得FM =QF ,以QM 为斜边,在QM 的左侧作等腰直角三角形QMN (当Q点运动时,M 点,N 点也随之运动)。
若P 点运动到t 秒时,两个等腰直角三角形分 别有一条直角边恰好落在同一条直线上,求此刻t 的值。
2、某楼盘一楼是车库(暂不出售),二楼至二十三楼均为商品房(对外销售).商品房售价方案如下:第八层售价为3000元/米2,从第八层起每上升一层,每平方米的售价增加40元;反之,楼层每下降一层,每平方米的售价减少20元.已知商品房每套面积均为120平方米.开发商为购买者制定了两种购房方案:方案一:购买者先交纳首付金额(商品房总价的30%),再办理分期付款(即贷款).方案二:购买者若一次付清所有房款,则享受8%的优惠,并免收五年物业管理费(已知每月物业管理费为a 元)(1)请写出每平方米售价y (元/米2)与楼层x (2≤x ≤23,x 是正整数)之间的函数解析式. (2)小张已筹到120000元,若用方案一购房,他可以购买哪些楼层的商品房呢?(3)有人建议老王使用方案二购买第十六层,但他认为此方案还不如不免收物业管理费而直接享受9%的优惠划算.你认为老王的说法一定正确吗?请用具体数据阐明你的看法.3、阅读材料:当抛物线的解析式中含有字母系数时,随着系数中字母取值的不同,抛物线的顶点坐标也将发生变化.例如:由抛物线y=x 2-2mx+m 2+2m-1...(1) 得:y=(x-m )2+2m-1 (2)∴抛物线的顶点坐标为(m ,2m-1),设顶点为P (x 0,y 0),则:x 0=m ...(3) y 0=2m-1 (4)当m 的值变化时,顶点横、纵坐标x 0,y 0的值也随之变化,将(3)代入(4) 得:y 0=2x 0-1. (5)可见,不论m 取任何实数时,抛物线的顶点坐标都满足y=2x-1. 解答问题:①在上述过程中,由(1)到(2)所用的数学方法是配方法 ,其中运用的公式是完全平方公式 .由(3)、(4)得到(5)所用的数学方法是消元法 .②根据阅读材料提供的方法,确定抛物线y=x 2-2mx+2m 2-4m+3的顶点纵坐标y 与横坐标x 之间的函数关系式.③是否存在实数m ,使抛物线y=x 2-2mx+2m 2-4m+3与x 轴两交点A (x 1,0)、B (x 2,0)之间的距离为AB=4,若存在,求出m 的值;若不存在,说明理由(提示:|x 1-x 2|2=(x 1+x 2)2-4x 1x 2).4、求使关于x 的方程(a+1)x 2-(a 2+1)x+2a 3-6=0的根为整数的所有整数a.5、⊙O 1与⊙O 2相交于点A 、B ,动点P 在⊙O 2上,且在⊙O 1外,直线PA 、PB 分别 交⊙O 1于点C 、D .问:⊙O 1的弦CD 的长是否随点P 的运动而发生变化?如果发生 变化,请你确定CD 最长或最短时点P 的位置;如果不发生变化,请给出你的证明.C B A··P D O O 21。
2018-2019年最新湘潭一中自主招生考试英语模拟精品试卷(第一套)考试时间:120分钟总分:150分第I卷(选择题,共100分)第一节:单项填空(共25小题,每小题1分,满分25分)1. —When did the terrible earthquake in YaNan happen?—It happened ________ the morning of April 20, 2013.A. onB. atC. inD. /2. Our teacher told us ________ too much noise in class.A. to makeB. makeC. not to makeD. not make3. Here is your hat. Don’t forget______ when you __________.A. to put it on, leaveB. to wear it, leaveC. to wear it, will leaveD. putting it on, will leave4. The baby is sleeping. You _____ make so much noise.A. won’tB. mustn’tC. may notD. needn’t5. Since you are _____ trouble, why not ask _________ help?A. in, forB. in, toC. with, forD. with, to6. It’s about___________kilometers from Nanchong to Chengdu.A. two hundredsB. two hundreds ofC. two hundredD. two hundred of7. It is six years since my dear uncle ________China.A. leftB. has leftC. is leftD. had left8. —How long _______ you _______ the bicycle?—About two weeks.A. have, hadB. have, boughtC. did, buyD. have, have9. The Yellow River is not so ________ as the Yangtze River.A. longerB. longC. longestD. a long10. Mrs.Green usually goes shopping with ________ umbrella in ________ summer.A. a;theB. an; /C. the; aD. /;/11. At first, I was not too sure if he could answer the question. However, ____,he worked it out at last with the help of his friend.A. to my angerB. to my surpriseC. in other wordsD. ina word12. —Must I stay here with you?—No, you ______.You may go home, but you _____ go to the net bar (网吧).A. mustn't; needn'tB. needn't; mustn'tC. must; needD. need; must13. I ______ the newspaper while my mother _____TV plays yesterday evening.A. was reading; was watchingB. was reading; watchedC. read; was watchingD. read; would watch14. It's a rule in my class that our classroom ________ before 6:00 p. m.every day.A. be able to cleanB. should be cleaningC. must cleanD. must be cleaned15. —Tom wants to know if you ________ a picnic next Sunday.—Yes. But if it ________, we'll visit the museum instead.A. will have; will rainB. have; rainsC. have; will rainD. will have; rains16.—Would you mind looking after my dog while I'm on holiday?—________.A. Of course notB. Yes. I'd be happy toC. Not at all. I've no timeD. Yes, please17. Many students didn’t realize the importance of study _______they left school.A. whenB. untilC. afterD. unless18. My father _______ to Shanghai. He _______ for over 2 months.A. has been, has leftB. has gone, has goneC. has gone, has been awayD. has been, has gone19. They are your skirts. Please __________.A. put it awayB. put out itC. put them awayD. put them out20. —Please read every sentence carefully. you are,mistakes you’llmake.—Thank you for your advice.A. The more carefully; the fewerB. The more careful; the lessC. The more carefully; the lessD. The more careful; the fewer21. My friend is coming today but he didn’t tell me _______.A. when did the train arriveB. how did the train arriveC. when the train arrivedD. how the train arrived22. I felt it hard to keep up with my classmate s. But whenever I wantto _______, my teacher always encourages me to work harder.A. go onB. give upC. run awayD. give back23. —________ fine weather it is today!—Let's go for a picnic.A. WhatB. HowC. What aD. How a24.— Mary, you’re going to buy an apartment here, aren’t you?—Yes, but I can’t_______an expensive one.A. spendB. costC. payD. afford25. —Would you like to drink coffee or milk?—_________. Please give me some tea.A. NeitherB. BothC. EitherD. None第二节:完形填空(共20小题,每小题1分,满分20分)(A)Big schoolbags have been a serious problem for students for a long time.Maybe your schoolbag is too __26__ to carry, and it troubles you a lot __27__ you want to find a book out to read. Now an etextbook will __28__ you.It is said that etextbooks are going to be __29__ in Chinese middle schools.An etextbook, in fact, is a small __30__ for students.It is much __31__ than a usual schoolbag and easy to carry. Though it is as small as a book, it can __32__ all the materials (材料) for study.The students can read the text page by page on the __33__, take notes with the pointer (屏写笔). Or even “__34__” their homework to their teachers by sending emails. All they have to do is to press a button.Some people say etextbooks are good, but some say they may be __35__ for the students' eyes. What do you think of it?26.A.light B. heavy C. useful D. comfortable27.A.till B. after C. before D. when28.A.trouble B. prevent C. help D. understanded B. kept C. invented D. lent B. radio C. pen D. computer31.A.heavier B. lighter C. cheaper D. brighter32.A.hold B. build C. discover D. practice33.A.blackboard B. desk C. screen D. card34.A.find out B. hand in C. get back D. give back35.A.helpful B. famous C. good D. bad(B)Food is very important. Everyone needs to _36_ _well if he/she wants to have a strong body. Our minds also need a kind of food. This kind of food is__ 37 __.We begin to get a knowledge even when we are very young. Small children are __38__ in everything around them. They learn __39 __while they are watching and listening. When they are getting older, they begin to ___ 40__ story books, science books…anything they like. When they find something new, they have to ask questions and__41___ to find out the answers.What is the best ___42___to get knowledge? If we learn___43___ourselves, we will get the most knowledge, If we are__44___getting answers from others and don’t ask why, we will never learn more and understand___45_.36. A. sleep B. read C. drink D. eat37. A. sport B. exercise C. knowledge D. meat38. A. interested B. interesting C. weak D. meat39. A. everybody B. something C. nothing D. anything40. A. lend B. write C. think D. read41. A. try B. wait C. think D. need42. A. place B. school C. way D. road43. A. in B. always C. to D. by44. A. seldom B. always C. certainly D. sometimes45.A.harder B. much C. well D. better第三节:阅读理解(共25小题,每小题2分,满分50分)AFamous Museums_______ .A. BeijingB. LondonC. New YorkD. The USA47. New York Museum is America’s largest museum on American__________.A. areaB. historyC. collectionsD. buildings48. The Palace Museum. Which is in the center of Beijing, is also called“Forbidden City(紫禁城)” in China. It lies in __________.A.Chang’an StreetB. New Oxford StreetC. BerlingD. Chestnut Street49. According to the form, if you want to see ancient Chinese collections,you can visit ____ at most.A. one museumB. two museumsC. three museumsD. four museums50. Which of the following is TRUE according to the information above?A. Each ticket for the Palace Museum costs the same in the whole year.B. You don’t have to pay for tickets if you visit New York Museum on Monday.C. British Museum lies in Chestnut street, London.D. New York Museum is the largest in the world.BIn recent years, more and more people like to keep pets such as a dog, a cat, a monkey and other animals. But usually people would accept tame(温顺的) and loyal(忠诚的) animals as pets rather than dangerous ones such as a lion,a tiger or a snake.People love pets and take good care of them. The owners usually regard pets as good friends and some even consider them as members of the family. Although they are not human beings(人类), their behavior sometimes is better than human beings, for they are always loyal to their owners. There are always many stories about brave and smart pets. We often hear that a pet dog saved the owner's life or traveled thousands of miles to return home. Such stories often make pets more lovely.Some pets can also be trained to help people with some special work. For example, trained dogs can help the blind to walk and trained dogs and pigs can even help police to find where drugs are easily.But pets are sometimes trouble-makers. Some pets like dogs or snakes may hurt people without any warning. Some people may become ill after being hurt because of the virus carried by the pets. If they are not taken good care of, they will become very dirty and easily get ill. So pets are helpful to us but keeping pets is not an easy job.51. What animals are thought to be dangerous as pets?A. Cats.B. Dogs.C. Snakes.D. Monkeys52. Which of the following statements is TRUE about pets?A. All the pets are considered as family members.B. Pets always behave better than human beings.C. Sometimes some pets can protect their owners.D. Pets like traveling far away from home.53. Why do people train pets according to the passage?A. To make them more clever.B. To make them more lovely.C. To find drugs for the blind.D. To do some special work.54. What can we learn from the last paragraph?A. Pets often hurt strange people.B. Pets can live well with the virus.C. Pets are dirty and dangerous.D. Pets should be looked after well.55. What is the best title for the passage?A. Training Pets.B. Keeping Pets.C. Cleaning Pets.D.Loving Pets.CFrom Feb. 8 to Mar. 1 is our winter holiday. I think everybody did a lot in the holiday. But it seems that I did nothing and it was my most unlucky holiday.I spent a lot of time on my homework. Every morning my mother woke me up early and I had breakfast in a hurry. Then I had to do my homework almost the whole day! I’m not a very slow person but the homework was too heavy!I was also unlucky when playing. During the Spring Festival, I played fireworks but my finger was hurt because I was careless to light the fireworks. I began to fear playing with fireworks from then.I was still unlucky on my friend’s party. On my friend’s birthday, unusually I woke up at 10:50 because my parents went to visit my grandmother early in the morning. The party would start in 10 minutes! So I hurried to my friend’s home without breakfast. I returned very late that day and when I got home, my parents were very angry with me.Another worrying thing was my weight. Last term, I was 46 kg but nowI am 51 kg! I have to consider losing weight!56. How long did the winter holiday last?A. two monthsB. one monthC. 4 weeksD. 22 days57. The writer got up early every day during the holiday because ______.A. he had to finish homeworkB. he had to have breakfastC. he was a very slow personD. his mother was in a hurry58. He hurt his finger because of ________.A. the Spring FestivalB. his carelessnessC. the light of fireworksD. his fear of playing59. Why were the writer’s parents angry with him?A. Because he got up too late.B. Because he missed breakfast.C. Because he was late for the party.D. Because he came back home too late.60. What did the writer want to tell us in the passage?A. He had an unlucky holiday.B. He had too much homework.C. His parents were very strict.D. He planned to lose weight.DSteven Jobs, the designer of Apple Computer, was not clever when he was in school.At that time, he was not a good student and he always made troubles with his schoolmates.When he went into college, he didn't change a lot.Then he dropped out.But he was full of new ideas.After he left college, Steven Jobs worked as a video game designer.He worked there for only several months and then he went to India.He hoped that the trip would give him some new ideas and give him a change in life.Steven Jobs lived on a farm in California for a year after he returned from India.In 1975, he began to make a new type of computer.He designed the Apple Computer with his friend in his garage.He chose the name “Apple” just because it could help him to remember a happy summer he once spent in an apple tree garden.His Apple Computer was such a great success that Steven Jobs soon became famous all over the world.61.Steven Jobs was not a good student in school because he ________.A. never did his lessonsB. was full of new ideasC. always made troubles with his schoolmatesD. dropped out62.Did Steven Jobs finish college?A. Yes, he did.B. No, he didn't.C. No, he didn't go into college.D. We don't know.63.Steven Jobs designed his new computer ______.A. in IndiaB. with his friendC. in a pear tree gardenD. by himself64.Steven Jobs is famous for his ________ all over the world.A. new ideasB. appleC. Apple ComputerD. video games65.From this passage we know ________.A. Steven Jobs didn't finish his studies in the college because he hatedhis schoolmatesB. Steven Jobs liked traveling in India and CaliforniaC. Steven Jobs liked trying new things and making new ideas become trueD. Steven Jobs could only design video gamesEIf you go into the forest with friends, stay with them. If you don't, you may get lost. If you get lost, this is what you should do. Sit down and stay where you are. Don't try to find your friends. Let them find you. You can help them find you by staying in one place. There is another way to help your friends or other people to find you. You can shout or whistle (吹口哨) three times. Stop. Then shout or whistle three times again. Any signal given three times is a call for help.Keep up shouting or whistling. Always three times together. When people hear you, they will know that you are not just making a noise for fun. They will let you know that they have heard your signal. They will give you two shouts or two whistles. When a signal is given twice, it is an answer to a call for help.If you don't think that you will get help before night comes, try to make a little house with branches .Make yourself a bed with leaves and grass.When you need some water, you have to leave your little branch house to look for it. Don't just walk away .Pick off small branches and drop them as you walk in order to go back again easily.66.If you get lost in the forest, you should ________.A. walk around the forest to find your friendsB. stay in one place and give signalsC. climb up a tree and wait for your friends quietlyD. shout as loudly as possible67.Which signal is a call for help?A. Shouting one time as loudly as you can.B. Crying twice.C. Shouting or whistling three times together.D. Whistling everywhere in the forest.68.When you hear two shouts or two whistles, you know that ________.A. someone finds something interestingB. people will come and help youC. someone needs helpD. something terrible will happen69.Before night comes, you should try to make a little house with ________.A. stoneB. earthC. leaves and grassD. branches70.Which of the following is the best title?A. Getting Water in the ForestB. Spending the Night in the ForestC. Surviving (生存) in the ForestD. Calling for Help in the Forest 第四节:补全对话,从方框内7个选项中选择恰当的5个句子完成此对话(共5分)John: Hi, Karl. You were not here, in your class yesterday afternoon. What was wrong?Karl: 71________John: Sorry to hear that.72Karl: Much better. The fever is gone. But I still cough and I feel weak. John: 73Karl: Yes, I have. I went to the doctor’s yesterday afternoon. The doctor gave me some medicine and asked me to stay in bed for a few days. John: 74Karl: Because I’m afraid I’ll miss more lessons and I’ll be left behind. John: Don’t worry. Take care of yourself. 75第Ⅱ卷(非选择题,共50分)一、根据句意及所给提示,补全单词或用单词、固定短语、固定搭配的正确形式填空(10分)76. Many athletes won gold medals in the Olympics, they are our national h_____.77. Tom didn’t finish _____________( write) his test because he ran out of the time.78. The girl is making a model doll ___________ (care).79. The boy felt __________(困倦的) in class because he stayed up late last night.80. So Terrible! The airplane ______________(起飞) five minutes ago.81.I don't think students should be(允许)to bring mobile phones to school.82.I find it useless to spend much time(解释)it to him.83. She prefers keeping silent to(争吵)with others.84. It is important for us to be(有信心的)of doing everything.85. The doctor operated on the patient(成功)yesterday.二、汉译英, 一空一词(共5小题,每小题2分,计10分)86. 他默默地在雨中行走,浑身上下都被淋湿。
2018-2019年最新湖南湘潭县第一中学自主招生语文模拟精品试卷(第一套)(满分:100分考试时间:90分钟)一、语文基础知识(18分,每小题3分)1.下列词语中加点的字,读音全都正确的一组是()A.连累(lěi) 角(juã)色河间相(xiàng) 冠冕(miǎn)堂皇B专横(hâng) 忖(cǔn)度涮(shuàn) 羊肉妄加揣(chuāi)测C.笑靥(yâ) 顷(qīng)刻汗涔(cãn)涔休戚(qì)相关D慨叹(kǎi) 俨(yǎn)然刽子手(kuàì) 刎(wěn)颈之交2、下列各项中字形全对的是()A、橘子州偌大急躁光阴荏苒B、蒙敝犄角慰籍书生意气C、敷衍磕绊笔竿艰难跋涉D、翱翔斑斓屏蔽自怨自艾3、依次填入下列各句横线上的词语,最恰当..的一项是()⑴虽然他尽了最大的努力,还是没能住对方凌厉的攻势,痛失奖杯。
⑵那些见利忘义,损人利己的人,不仅为正人君子所,还很可能滑向犯罪的深渊。
⑶我认为,真正的阅读有灵魂的参与,它是一种个人化的精神行为。
A.遏制不耻必需B.遏止不耻必需C.遏制不齿必须D.遏止不齿必须4、下列句中加点的成语,使用恰当的一句是()A、故宫博物院的珍宝馆里,陈列着各种奇珍异宝、古玩文物,令人应接不暇。
B、任何研究工作都必须从积累资料做起,如果不掌握第一手资料,研究工作只能是空中楼阁....。
C、电影中几处看来是闲笔,实际上却是独树一帜之处。
D、这部精彩的电视剧播出时,几乎万人空巷,人们在家里守着荧屏,街上显得静悄悄的。
5、下列句子中,没有语病的一项是()A 大学毕业选择工作那年,我瞒着父母和姑姑毅然去了西藏支援边疆教育。
B北京奥运会火炬接力的主题是‚和谐之旅‛,它向世界表达了中国人民对内致力于构建和谐社会,对外努力建设和平繁荣的美好世界。
C他不仅是社会的一员,同时还是宇宙的一员。
他是社会组织的公民,同时还是孟子所说的‚天民‛。
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2020-2021学年湖南省湘潭县第一中学新高一入学考试
数学模拟试卷
一、选择题(本大题共8个小题,每小题有且只有一个正确答案,请将正确答案的选项代号涂在答题卡相应的位置上,每小题3分,满分24分)
1.(3分)|﹣2|=( )
A .2
B .﹣2
C .12
D .−12 【解答】解:根据绝对值的性质可知:|﹣2|=2.
故选:A .
2.(3分)(﹣4x )2=( )
A .﹣8x 2
B .8x 2
C .﹣16x 2
D .16x 2
【解答】解:原式=16x 2,
故选:D .
3.(3分)在下列图形中,既是轴对称图形,又是中心对称图形的是( )
A .
B .
C .
D .
【解答】解:A 、是轴对称图形,不是中心对称图形.故错误;
B 、是轴对称图形,不是中心对称图形.故错误;
C 、不是轴对称图形,是中心对称图形.故错误;
D 、是轴对称图形,也是中心对称图形.故正确.
故选:D .
4.(3分)下列命题中,正确的是( )
A .平行四边形的对角线相等
B .矩形的对角线互相垂直
C .菱形的对角线互相垂直且平分
D .对角线相等的四边形是矩形
【解答】解:A 、平行四边形的对角线互相平分,所以A 选项错误;
B 、矩形的对角线互相平分且相等,所以B 选项错误;。
湖南省湘潭市一中2025届高考适应性考试数学试卷注意事项:1.答卷前,考生务必将自己的姓名、准考证号、考场号和座位号填写在试题卷和答题卡上。
用2B 铅笔将试卷类型(B )填涂在答题卡相应位置上。
将条形码粘贴在答题卡右上角"条形码粘贴处"。
2.作答选择题时,选出每小题答案后,用2B 铅笔把答题卡上对应题目选项的答案信息点涂黑;如需改动,用橡皮擦干净后,再选涂其他答案。
答案不能答在试题卷上。
3.非选择题必须用黑色字迹的钢笔或签字笔作答,答案必须写在答题卡各题目指定区域内相应位置上;如需改动,先划掉原来的答案,然后再写上新答案;不准使用铅笔和涂改液。
不按以上要求作答无效。
4.考生必须保证答题卡的整洁。
考试结束后,请将本试卷和答题卡一并交回。
一、选择题:本题共12小题,每小题5分,共60分。
在每小题给出的四个选项中,只有一项是符合题目要求的。
1.已知点()11,A x y ,()22,B x y 是函数()2f x bx =的函数图像上的任意两点,且()y f x =在点1212,22x x x x f ⎛++⎫⎛⎫ ⎪ ⎪⎝⎭⎝⎭处的切线与直线AB 平行,则( ) A .0a =,b 为任意非零实数 B .0b =,a 为任意非零实数 C .a 、b 均为任意实数D .不存在满足条件的实数a ,b2.如果直线1ax by +=与圆22:1C x y +=相交,则点(),M a b 与圆C 的位置关系是( ) A .点M 在圆C 上 B .点M 在圆C 外 C .点M 在圆C 内D .上述三种情况都有可能3.已知i 为虚数单位,复数z 满足()1z i i ⋅-=,则复数z 在复平面内对应的点在( ) A .第一象限B .第二象限C .第三象限D .第四象限4.设12,x x 为()()cos 0f x x x ωωω=->的两个零点,且12x x -的最小值为1,则ω=( ) A .πB .2π C .3π D .4π 5.已知等差数列{}n a 中,若5732a a =,则此数列中一定为0的是( ) A .1aB .3aC .8aD .10a6.在平面直角坐标系xOy 中,已知点()0,2A -,()1,0N ,若动点M 满足MA MO= ,则·OM ON 的取值范围是( )A .[]0,2B .0,⎡⎣C .[]22-,D .-⎡⎣7.设实数满足条件则的最大值为( ) A .1B .2C .3D .48.已知()y f x =是定义在R 上的奇函数,且当0x >时,2()3f x x x=+-.若0x ≤,则()0f x ≤的解集是( ) A .[2,1]--B .(,2][1,0]-∞-⋃-C .(,2][1,0)-∞-⋃-D .(,2)(1,0]-∞-⋃-9.在平行六面体1111ABCD A B C D -中,M 为11A C 与11B D 的交点,若,AB a AD b ==,1AA c =,则与BM 相等的向量是( )A .1122a b c ++ B .1122a b c --+ C .1122a b c -+ D .1122-++a b c 10.已知等比数列{}n a 的前n 项和为n S ,且满足122n n S λ+=+,则λ的值是( )A .4B .2C .2-D .4-11.已知集合1,2,3,4,6{}5,A =的所有三个元素的子集记为123,,,*,n B B B B n N ⋯∈.记i b 为集合i B 中的最大元素,则123n b b b b +++⋯+=( ) A .45B .105C .150D .21012.已知集合{}2|3100M x x x =--<,{}29N x y x ==-,且M 、N 都是全集R (R 为实数集)的子集,则如图所示韦恩图中阴影部分所表示的集合为( )A .{}35x x <≤ B .{3x x <-或}5x >C .{}32x x -≤≤-D .{}35x x -≤≤二、填空题:本题共4小题,每小题5分,共20分。
湖南省湘潭市一中2025届高考仿真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.To tell the truth, I would rather I ________ the pain instead of you. You don’t know how worried I was.A.took B.had takenC.have taken D.should have taken2.Although the used car seems in good ______, it cannot run fast.A.state B.situationC.condition D.occasion3.—Sorry, Mum! I failed the job interview again.—Oh, it's too bad. You________ have made full preparations.A.must B.can C.would D.should4.—I am searching one online shopping site after another for a computer.—So __________I before I decided to buy a new camera.A.had B.have C.am D.would5._____ gas prices are rising, people are looking for less expensive ways to get around.A.Now that B.Even ifC.Although D.Unless6.Bob was trying to ________ that he knew the famous singer who would perform in our city.A.let out B.lay outC.figure out D.make out7.The traffic is heavy these days. I arrive a bit late, so could you save me a place?A.canB.mustC.needD.might8.I was caught in a traffic jam for over an hour, otherwise, I ________ you waiting for such a long time.A.had not kept B.will not keepC.would not have kept D.have not kept9.We are living in an age________ QR codes(二维码)are becoming more and more popular in our daily life.A.why B.thatC.whose D.when10.It is really cold and the ground is wet; it ________ have rained last night.A.might B.mustC.can D.should11.--Whenever you want a good meal, come to my restaurant and eat for free.--Believe me. That is an ________ I will not refuse.A.approach B.offerC.idea D.instruction12.Yumin, the late famous physicist, often encouraged his students to _____ what they believed in, even when facing strong opposition.A.come up with B.take charge ofC.put up with D.stand up for13.—Would you like me the radio a bit?—No, it’s all right. I’m used with the radio .A.to turn down; to work; on B.turning down; to working; onC.turning down; to working; off D.to turn down; to working; on14.The senior teacher always goes swimming and does push-ups to stay ________.A.in place B.in orderC.in shape D.in fashion15.---Jenny is becoming slimmer and slimmer.---- It is said that she hired a fitness instructor last year and _____ since.A.is working out B.worked out C.has been working out D.had worked out16.The solution to a problem,we are told,often comes to thinkers in a "flash of ________".A.inspiration B.insightC.invitation D.innovation17.His dream was ________ a photo studio that could transport people back to the past.A.opening B.openedC.to open D.open18.It was not until she got home____Jennifer realized she had lost her keys.A.when B.thatC.where D.before19.Bob made a promise to the manager ________ the work would all be finished on time.A.that B.whatC.which D.whether20.At the meeting they discussed three different ________ to the study of mathematics.A.approaches B.meansC.methods D.ways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。
湘潭县一中自主招生考试赛物理试卷1.不悔梦归处,只恨太匆匆。
有些人错过了,永远无法在回到从前;有些人即使遇到了,永远都无法在一起,这些都是一种刻骨铭心的痛!2.3.每一个人都有青春,每一个青春都有一个故事,每个故事都有一个遗憾,每个遗憾都有它的青春美。
4.方茴说:“可能人总有点什么事,是想忘也忘不了的。
”5.方茴说:“那时候我们不说爱,爱是多么遥远、多么沉重的字眼啊。
我们只说喜欢,就算喜欢也是偷偷摸摸的。
”6.方茴说:“我觉得之所以说相见不如怀念,是因为相见只能让人在现实面前无奈地哀悼伤痛,而怀念却可以把已经注定的谎言变成童话。
”7.在村头有一截巨大的雷击木,直径十几米,此时主干上唯一的柳条已经在朝霞中掩去了莹光,变得普普通通了。
8.这些孩子都很活泼与好动,即便吃饭时也都不太老实,不少人抱着陶碗从自家出来,凑到了一起。
9.石村周围草木丰茂,猛兽众多,可守着大山,村人的食物相对来说却算不上丰盛,只是一些粗麦饼、野果以及孩子们碗中少量的肉食。
遗憾,每个遗憾都有它的青春美。
4.方茴说:“可能人总有点什么事,是想忘也忘不了的。
” 5.方茴说:“那时候我们不说爱,爱是多么遥远、多么沉重的字眼啊。
我们只说喜欢,就算喜欢也是偷偷摸摸的。
” 6.方茴说:“我觉得之所以说相见不如怀念,是因为相见只能让人在现实面前无奈地哀悼伤痛,而怀念却可以把已经注定的谎言变成童话。
” 7.在村头有一截巨大的雷击木,直径十几米,此时主干上唯一的柳条已经在朝霞中掩去了莹光,变得普普通通了。
8.这些孩子都很活泼与好动,即便吃饭时也都不太老实,不少人抱着陶碗从自家出来,凑到了一起。
9.石村周围草木丰茂,猛兽众多,可守着大山,村人的食物相对来说却算不上丰盛,只是一些粗麦饼、野果以及孩子们碗中少量的肉食。
培训模拟题(建议时量50分钟,总分60分)(请将答案写在答题卡相应区域内,否则不计分)一、选择题(每题只有一个正确答案,每题4分,共20分)1、一种微波的波动图象如右图所示,则该波频率是( )97A、1.8×10Hz B、5×10Hz-88C、2×10Hz D、5×10Hz2、同种材料制成的几个圆柱体,它们的的质量、粗细、高度各不相同,把它们竖直放在水平桌面上,则( ) A、较高的圆柱体对桌面的压强大 B、较粗的圆柱体对桌面的压强大C、质量较大的圆柱体对桌面的压强大D、它们对桌面的压强一样大3、游泳池边竖直墙上有一只挂钟,某同学看到了水面下挂钟的像如图所示,挂钟指示的时间是( )A、2:35B、10:25C、3:55D、8:054、小红同学用如图所示的装置探究滑动摩擦力的大小与什么因素有关,当用F 的恒力将木板匀速拉出,弹簧秤读数为T,则以下说法正确的是( )A、木板对木块的滑动摩擦力为F-TB、当用2F的力拉木板时,弹簧秤读数为2T,木块受到的摩擦力为2TC、当用2F的力拉木板时,弹簧秤读数为T,木块受到的摩擦力为2F-TD、当用2F的力拉木板时,弹簧秤读数都是T,木块受到的摩擦力为T5、湘潭市某军工企业特种玻璃厂生产的电空调光玻璃,具有根据光照强度自动调节玻璃透明度的功能。
自主招生模拟试题一、选择题:
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二、填空题
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A、B、C、D、
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A、B、C、D、
二、填空题:
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1、在平面直角坐标系xOy 中,拋物线y = -
41-m x 2+4
5m
x +m 2-3m +2 与x 轴的交点分别为原点O 和点A ,点B (2,n )在这条拋物线上。
(1) 求点B 的坐标;
(2) 点P 在线段OA 上,从O 点出发向点运动,过P 点作x 轴的 垂线,与直线OB 交于点E 。
延长PE 到点D 。
使得ED =PE 。
以PD 为斜边在PD 右侧作等腰直角三角形PCD (当P 点运动 时,C 点、D 点也随之运动)
当等腰直角三角形PCD 的顶点C 落在此拋物线上时,求 OP 的长;
若P 点从O 点出发向A 点作匀速运动,速度为每秒1个单位,同时线段OA 上另一点Q 从A 点出发向O 点作匀速运动,速度为每秒2个单位(当Q 点到达O 点时停止运动,P 点也同时停止运动)。
过Q 点作x 轴的垂线,与直线AB 交于点F 。
延长QF 到点M ,使得FM =QF ,以QM 为斜边,在QM 的左侧作等腰直角三角形QMN (当Q
点运动时,M 点,N 点也随之运动)。
若P 点运动到t 秒时,两个等腰直角三角形分 别有一条直角边恰好落在同一条直线上,求此刻t 的值。
2、某楼盘一楼是车库(暂不出售),二楼至二十三楼均为商品房(对外销售).商品房售价方案如下:
第八层售价为3000元/米2
,从第八层起每上升一层,每平方米的售价增加40元;反之,楼层每下降一层,每平方米的售价减少20元.已知商品房每套面积均为120平方米.开发商为购买者制定了两种购房方案:
方案一:购买者先交纳首付金额(商品房总价的30%),再办理分期付款(即贷款).
方案二:购买者若一次付清所有房款,则享受8%的优惠,并免收五年物业管理费(已知每月物业管理费为a 元)
(1)请写出每平方米售价y (元/米2
)与楼层x (2≤x ≤23,x 是正整数)之间的函数解析式. (2)小张已筹到120000元,若用方案一购房,他可以购买哪些楼层的商品房呢?
(3)有人建议老王使用方案二购买第十六层,但他认为此方案还不如不免收物业管理费而直接享受9%的优惠划算.你认为老王的说法一定正确吗?请用具体数据阐明你的看法.
3、阅读材料:当抛物线的解析式中含有字母系数时,随着系数中字母取值的不同,抛物线的顶点坐标也将发生变化.例如:由抛物线y=x 2-2mx+m 2+2m-1...(1) 得:y=(x-m )2+2m-1 (2)
∴抛物线的顶点坐标为(m ,2m-1),设顶点为P (x 0,y 0),则:x 0=m ...(3) y 0=2m-1 (4)
当m 的值变化时,顶点横、纵坐标x 0,y 0的值也随之变化,将(3)代入(4) 得:y 0=2x 0-1. (5)
可见,不论m 取任何实数时,抛物线的顶点坐标都满足y=2x-1. 解答问题:
①在上述过程中,由(1)到(2)所用的数学方法是配方法 ,其中运用的公式是完全平方公式 .由(3)、(4)得到(5)所用的数学方法是消元法 .
②根据阅读材料提供的方法,确定抛物线y=x 2-2mx+2m 2-4m+3的顶点纵坐标y 与横坐标x 之间的函数关系式.
③是否存在实数m ,使抛物线y=x 2-2mx+2m 2-4m+3与x 轴两交点A (x 1,0)、B (x 2,0)之间的距离为AB=4,若存在,求出m 的值;若不存在,说明理由(提示:|x 1-x 2|2=(x 1+x 2)2-4x 1x 2).
4、求使关于x 的方程(a+1)x 2
-(a 2
+1)x+2a 3
-6=0的根为整数的所有整数a.
5、⊙O 1与⊙O 2相交于点A 、B ,动点P 在⊙O 2上,且在⊙O 1外,直线PA 、PB 分别 交⊙O 1于点C 、D .问:⊙O 1的弦CD 的长是否随点P 的运动而发生变化?如果发生 变化,请你确定CD 最长或最短时点P 的位置;如果不发生变化,请给出你的证明.
C B A
··P D O O 21。