自主招生英语考试模拟试卷
第二部分：英语知识运用（共两节，满分70分）
第一节：单项选择（共40题；每小题1分，满分40分）
21．When he saw me then ,he asked me what_____ .
A．the matter was B．the matter is C．is the matter D．was the matter 22．Mother was______ doing the cooking when I came in .
A．made B．told C．busy D．ready
23．You'd better stop doing the job if it goes______ your will .
A．with B．away C．against D．for
24．You should grow different plants in_____ same field _____ each ether .
A．the ,next B．a ,the next C．x ,next to D．the ,next to
25．—What's the weather going to be like at the weekend ?
— ______ .
A．I don't think we have had much snow B．The storm won't last too long .
C．It's going to be very cold and cloudy D．We are to be caught in a heavy rain 26．—What's your new classmate like ?
—He is______ .
A．a student B．very handsome C．Xiao Ming D．an old friend of Wang Hua's 27．The teacher asked the children_____ they_____ the things in the lad that morning .
A．if ,had touched B．where did ,touch C. when ,touch D．when did ,touched 28．—Is there anything else I can do for you ?
— ______ .
A．Never mind B．No, thanks C．Nothing for you D．Yes ,thanks a lot
29．The Great Wall in China is one of the few _____ objects on the earth _____ from the moon . A．man-made ,that can be seen B．man-making ,that can see
C．men-made ,that can be seen D．man-make ,which can see
30．Pop music is _____ he likes most .
A．music B．the music C．one D．the one
31．Our country is no longer what it _____ .
A．used to be B．would be C．used to D．is
32．How long did the concert ______ ?
A．go B．last C．take D．make
33．The shoes are made in Wuxi City , ______ is famous for it's products of light industry . A．where B．it C．that D．which
34．I ______ going for a walk after supper . Do you want to go together with me ?
A．had to be B．would like C．feel like D．prefer to
35．In the end I ______ a good effort to pass the examination .
A．did B．had C．made D．used
36．Although Linda tried hard in the exam ,she did ______ than her brother .
A．more badly B．much better C．much badly D．much worse
37．The progress he has made in maths is much greater than ______ in English .
A．the one B．that C．he has D．it
38．I'll never do ______ .
A．things of this sort B．these sorts of a thing
C．this sort of the thing D．this sort of a thing
39．_____ seen ,it will never be forgotten.
A．Once B．After C．Though D．Unless
40．______ progress you have make this term!
A．How big B．What great C．How rapid D．What a rapid
41．_____ of the two brothers would like to take _____ of the two apples on the table . A．None ,the bigger B．No one ,a bigger
C．Each ,the biggest D．Neither ,the bigger
42．There are many islands______ the coast of China.
A．in B．from C．off D．away
43．—What's the young man?
—______ .
A．He is friendly B．He's a teacher C．He's fine D．He's Tom
44．—Why have you changed so much ?
—You don't know I ______ a hard life in the last ten years .
A．had B．led C．had lived D．have led
45．Generally , the weather in Britain is_____ too cold in winter _____ too hot in summer . A．not only ,but also B．neither ,nor C．either ,or D．both ,and 46．The baby always sleeps with his eyes half _____ .
A．open B．opening C．to open D. opened
47．—I'm sorry I've forgotten to post your letter .
—Never mind . _____ post it myself .
A．I'm going to B. I am about to go and C．I'll go and D．I am to go to 48．Only 5 _____ of the population of America _____ farmers .
A．percent ,are B．percents ,is C．percent ,is D．percents ,are 49．—Would you mind my sitting here ?
— ______ .
A．Yes ,sit here B．No ,you can't C．No ,of course not D．Yes ,you are welcome 50．Will it be_____ before the professor returns ?
A．some times B．sometime C．some time D．sometimes
51．It was _____ weather that all o them stayed at home .
A．Such a fine B．So fine a C．such fine D．so fine
52．We'll get _____ to put them in .
A．something big enough B．enough big something
C．something enough big D．big something enough
53．—Have you started writing your composition yet ?
—No ,I really don't know ______ .
A．what to write about B．what to write
C．what to write with D．what to write in
54．The lost boys were last seen _____ by the riverside .
A．play B．to be playing C．playing D．to play
55．I don't think that _____ has been said on how to use these idioms and expressions . A．few B．many C．enough D．a few
56．—I'm sure _____ pass the exam this time .
—Are you sure _____ that? You haven't spent much time on your study.
A．to ,to B．of ,of C．about ,of D．to ,of
57．They made_____ to meet and have a meeting on Sunday evenings .
A．it a rule B．that a rule C．this a rule D．it rule
58．How could you go to the palace ball without _____ ?
A．be invited B．inviting C．to be invited D．being invited
59．The children go to school_____ and now they are doing their _____ homework .
A．every day, everyday B．everyday ,every day
C．everyday ,everyday D．every day ,every day
60．—_____ the sports meet might be put off.
—Yes, it all depends on the weather .
A．I've been told B．I've told C．I'm told D．I told
第二节：完形填空（共20小题，每小题1.5分，满分30分）
阅读下面短文，掌握其大意，然后从所给的A、B、C、D四个选项中，选出最佳选项。
In the year 1840 ,the world's first stamps for letters were used in England .From then on, many people all （61）the world have enjoyed （62）stamps .Boys and girls ,and older people （63）,save them .It's easy （64）start collecting stamps .Ask your friends or parents to save （65）envelopes for you .When you get some ,keep the ones （66）stamps （67）you like .
Don’t try to pull the stamps （68）the envelopes .Cut off the stamp corner of the envelope .Leave the stamp corner in water （69）night .（70）morning ,the stamps will come right off the （71）.Then put the wet stamps on soft paper .Put more soft paper （72）them .Place a book on top to keep the stamps （73）curling （卷）as they （74）（75）you have many stamps ,you will want to sort（分类）them .They can （76）by color ,size ,place ,or by how much they （77）for. They can also be sorted by the kinds of pictures on （78）.Every picture on a stamp has （79）in it （80）stamp tells us a story.
61．A．over B．in C．of D．from
62．A．to collect B．collecting C．collected D．collect
63．A．either B．also C．too D．at the same time
64．A．in B．for C．at D．to
65．A．used B．using C．use D．to use
66．A．with B．have C．has D．having
67．A．it B．that C．one D．what
68．A．away B．of C．off D．leave
69．A．throw B．at C．during D．all
70．A．In the B．By C．That D．Tomorrow
71．A．paper B．envelope C．letter D．comer
72．A．above B．over C．under D．below
73．A．in B．from C．for D．of
74．A．wet B．dried C．dry D．drying
75．A．When B．As C．For D．Because
76．A．sorted B．sort C．sorting D．be sorted
77．A．buy B．get C．sell D．to sell
78．A．it B．which C．those D．them
79．A．flowers B．animals C．buildings D．meaning
80．A．All B．One C．The D．Each
第三部分：阅读理解（共15小题，每小题2分，满分30分）
阅读下面短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。
A
Mr. Baker lived in an old and low house. His wife was blind in both eyes and the two children were very young. All his family often went hungry. He had nothing but a small piece of field. One autumn he grew some wheat in his field. He hoped it would do well because all family would depend on it. The whole winter it often snowed. And the next spring the wheat was doing well. Mr. Baker was happy. One day Mr. Baker went to watch his wheat. To his surprise, a lot of crops were eaten up by a horse. He became angry but could not find out whose horse had eaten them. He thought the horse would go there again. So he decided to stay in his field and tried to catch the horse.
A few days later a yellow horse came in his field again and began to eat the wheat. Mr. Baker ran after it quickly, with a stick in his hand. But the beast ran much faster than he. He tried his best, but could not catch up with it.
The next morning, when Mr. Baker was working in his field, he saw the yellow horse pulling carriage on the road. He picked up a stick at once ,ran closer to the horse and began to beat it up.
The driver was surprised and stopped him. He asked“Why are you beating my horse?”
“It has nothing to do with you,”Mr. Baker said angrily.“The beast knows why I’m beating him!”81．What was Mr. Baker?
A．A driver B．A farmer C．A keeper D．A doctor
82．What kind of life did Mr. Baker’s family live.
A．A simple life B．A happy life C．A rich life D．A poor life
83．Why was Mr. Baker happy at first?
A．Because he found out the beast that ate up his wheat.
B．Because he would soon get a good harvest.
C．Because wheat was doing well.
D．Because his family wouldn’t grow any more wheat.
84．Mr. Baker tried his best to catch the horse to .
A．sell it for some money B．beat it up
C．make it work for him D．find out the owner of the horse
85．Which of the following is true?
A．The horse knew that it had done wrong.
B．The horse had nothing to do with the driver.
C．The horse belonged to the driver.
D．The horse knew whose wheat it had eaten up
B
Generally people hate mice but one mouse has won the hearts of the people all over the world—the famous Mickey Mouse.
About 50 years ago .films were silent .A man named Walt Disney made a cartoon（卡通）mouse that could talk in the films .He named his mouse Mickey Mouse .People were very excited by the talking mouse.
Before long, Mickey became great success with both young and old people. Children loved to see their lovely friend because he brought joy and laughter to them.
Mickey was a clean mouse right from the beginning .Perhaps this is one reason why people hate real mice but love Mickey Mouse .In his early life ,Mickey made some mistakes .People were very angry .They wrote to Disney that they didn’t want Mickey to do silly things .As there were some things that Mickey couldn’t do ,Disney created a new animal named Donald Duck .He also created a dog called Pluto .The dog does stupid
things and makes mistakes wherever he goes .Now our Mickey Mouse is not only clean ,but more important .He appears as a star of beauty and wisdom（智慧）.He had friends in almost every country. 86．Children loved their Mickey Mouse because .
A．he could speak English B．he brought them joys and laughters
C．he wasn’t a real mouse D．he was a certain mouse
87．Generally people all over the world hate mice except .
A．Mickey Mouse B．Pluto C．Donald Duck D．Walt Disney
88．Disney created a new animal named Donald Duck because .
A．except Donald Duck, Mickey could do some things
B．Mickey could do all the things with Donald Duck
C．there were some things that Mickey could not do
D．there were some things that Mickey could not do with Donald Duck
89．Mickey is a and important mouse today.
A．stupid B．dirty C．clean D．bad
90．Today Mickey Mouse has friends .
A．in the U.S B．in the United Nations
C．in China D．almost all over the world
C
There have been many great inventions ,things that changed the way we live .The first great invention was one that is still very important today—the wheel .This made it easier to carry heavy things and to travel long distance .
For hundreds of years after that there were few inventions that had as much effect （影响）as the wheel.Then in the early 1800’s the world started to change .There was little unknown land left in the world .People didn’t have to explore much any more .They began to work instead to make life better .
In the second half of the 19 th century many great inventions were made .Among them were the camera ,the electric light and radio .These all became a big part of our life today .
The first part of the 20 th century saw more great inventions .The helicopter in 1909 .Sound movies in 1926 .The computer in 1928 .And jet planes in 1930 .This was also a time when a new material was first made .Nylon came out in 1935 .It changed the kind of clothes people wear.
The middle part of the 20 th century brought new ways to help people get over diseases .They worked Very well .They made people healthier and let them live long lives .By the 1960’s most people could expect to live to be at least 60.
By this time most people had a very good life .Of course new inventions continued to be made .But man now had a desire to explore again .The world is known to man but stars are not yet .Man began looking for ways to go into space .Russia made the first step .Then the United States took a step .Since then other countries ,including China and Japan ,have made their steps into space .
In 1969 man took his biggest step away from earth .Americans first walked on the moon .This is certainly just a beginning though .New inventions will someday allow us to do things we have never yet dreamed of . 91．inventions had had as much effect as the wheel before the 19 th century.
A．Some B．Few C．Many other D．A small number of
92．In the early 1800’s ,people began to work in order to make .
A．a trip into space B．explorations C．life better D．discoveries
93．Nylon came out nearly at the same time as .
A．jet planes B．the radio C．the camera D．the movies
94．Man didn’t have a desire to explore a lot .
A．until the 20th century B．in the 1960’s
C．in the last two centuries D．at the beginning of the 1800’s
95．This passage talks mainly about .
A．why cars were very important B．which country made the first step into space C．how inventions affect（影响）people’s lives D．when the electric light was invented
第三部分：写作（共两节，满分30分）
第一节：翻译下列句子（共5题；每小题3分，满分15分）
1．由于粗心，他考试不及格。
2．相信人人能上大学的日子终究会到来。（It is believed that）
3．到上学期为止，我们已学了2000个英语单词。
4. 随着经济（economy）的发展，越来越多的人来到城市.（with the development of）5．在你离开之前务必把门窗关好。
第二节：短文写作（15分）
2004年6月1日星期六晴
你的一天活动时间如下。请你据此写一篇日记。
9：00：在校门口欢迎美国学生（约50人）到校参加访问
9：30——10：30：图书馆阅览室，联欢会(get-together)
11：00——13：00：午餐（picnic）
13：30——15：30：校园内，参观教学楼、实验室、校办工厂、游泳池
15：30——16：30：操场，友谊篮球赛
17：00：在校门口，欢送美国学生离校
21---25 DCCDC 26---30 BABAB 31---35 ABDCC 36---40 DBAAB 41---45 DCBDB 46---50 ACCCC 51---55 CAACC 56---60 DADAA
61—65 ABCDA 66—70 ABCDB 71—75 ABBCA 76—80 DCDDD
81—85 BDCDC 86—90 BACCD 91—95 BCADC
翻译：1. He failed in the exam because of carelessness.
2. It is believed that the day when everyone can go to college will come.
3. By the end of the last term, we had learned 2000 English words.
4. With the development of economy, more and more people will come into big cities.
5. Be sure to close/shut the doors and windows before/when you leave.
作文：略。
2021年全国高校自主招生数学模拟试卷十五 含答案 一．选择题(每小题5分，共30分) 1．若M={(x ，y )| |tan πy |+sin 2πx=0}，N={(x ，y )|x 2+y 2 ≤2}，则M ∩N 的元素个数是（ ） (A )4 (B )5 (C )8 (D )9 2．已知f (x )=a sin x +b 3 x +4(a ，b 为实数)，且f (lglog 310)=5，则f (lglg3)的值是（ ） (A )-5 (B )-3 (C )3 (D )随a ，b 取不同值而取不同值 3．集合A ，B 的并集A ∪B={a 1，a 2，a 3}，当A ≠B 时，(A ，B )与(B ，A )视为不同的对，则这样的(A ，B )对的个数是（ ） （A ）8 （B ）9 （C ）26 （D ）27 4．若直线x =π 4被曲线C :(x -arcsin a )(x -arccos a )+(y -arcsin a )(y +arccos a )=0所截的 弦长为d ，当a 变化时d 的最小值是( ) (A ) π4 (B ) π3 (C ) π 2 (D )π 5．在△ABC 中，角A ，B ，C 的对边长分别为a ，b ，c ，若c -a 等于AC 边上的高h ，则sin C －A 2 +cos C +A 2 的值是( ) (A )1 (B ) 12 (C ) 1 3 (D )-1 6．设m ，n 为非零实数，i 为虚数单位，z ∈C ，则方程|z +ni |+|z -mi |=n 与|z +ni |-|z -mi |=-m 在同一复平面内的图形(F 1，F 2为焦点)是( ) 二、填空题（每小题5分，共30分） 1．二次方程(1-i )x 2 +(λ+i )x +(1+i λ)=0(i 为虚数单位，λ∈R )有两个虚根的充分必要条 (A) (B) (C) (D)
郎溪县2017 年高中自主招生统一考试英语试卷（满分100 分，时间60 分钟）座位号姓名 一. 单项选择 (每小题 1 分,共 15 分) ( )1 ---- Wow, how cool the T-shirt is! Where can I buy like yours? ----In the shopping center. A. this B. one C. it D. that ( )2. ----Look! Matthew is coming. He is full of all the time. ----Well, that’s because he takes lots of exercise every day. A. energy B. courage C. confidence D. knowledge ( )3 ----- Betty, did you reach the top of the hill? ----Yes. Even I myself didn’t believe I could it. A. work B. climb C. get D. make ( )4. If we can our difficulties, then everything will be OK. A. get over B. go over C. take over D. turn over ( )5 ---- Would you like to take a walk in the Swan Lake Park with me tonight? ----Certainly, I’m too busy. A. until B. if C. unless D. or ( )6 ---- Will your sister be at home this Sunday? ----It’s hard to say. She go to the countryside to see my grandparents. A. must B. should C. can D. may ( )7. of them knows French, so I have to ask a third person for help. A. Either B. Neither C. Both D. None ( )8 ---- How do you like my new schoolbag? ----Sorry, but what did you say? I about something else. A. think B. thought C. am thinking D. was thinking ( )9 ---- Excuse me. Could you please tell me to park my car? ----Sure. Park it right here. I’ll help you. A. how B. why C. where D. when ( )10 ------ Shall we go to Ann’s birthday next Friday? ---- .............. I might have to work at that time. A. It depends B. Sounds great C. Why not? D. No, thanks. ( )11. The Spring Festival is on the way, and many supermarkets have huge posters with the word “ SALE”． A. put off B. put away C. put up D. put on ( )12. It is not for you to talk with your mouth full at table. A .easy B. proper C. healthy D. awful ( )13 ----- You seem to like chocolate very much. ---- ...................... Y ou know, I have a sweet tooth. A．So I am B．So do I C. So I do D. So am I ( )14 ----- I hope to take the cooking course. ----Good idea. more about it, visit the website for more information. A. Knowing B. To know C. Know D. Known ( )15 ----- How clean your bedroom is! ----It just now. A. was cleaned B. is cleaned C. has been cleaned D. will be cleaned
数学试卷 一、选择题（30分） 1．在0，-2, 1，-3这四个数中，最小的数是( ). A ．0 B ．-2 C ．1 D ．-3 2. 函数中，自变量的取值范围是( ). A ．x≥1 B ．x≤1 C ．x≥-1 D ．x≤-1 3．把不等式组 的解集表示在数轴上，下列选项正确的是( ). A ． B ． C ． D ． 4．如图，小红和小丽在操场上做游戏，她们先在地上画出一个圆圈，然后蒙上眼在一定距离外向圆圈内投小石子，则投一次就正好投到圆圈内是( ). A ．必然事件（必然发生的事件） B ．不可能事件（不可能发生的事件） C ．确定事件（必然发生或不可能发生的事件） D ．不确定事件（随机事件） 5. 若x1、x2是一元二次方程的两个根，则x12的值是( ). A.3 3 C.2 2 6．我们从不同的方向观察同一物体时，可以看到不同的平面图形，如图，从图的左面看这个几何体的左视图是( ). A ． B ． C ． D ． 7．已知 ，我们又定义 ，， ，……，根据你观察的规律可推测出＝( ). 1 0 1 0 1 0 1 0
A. B. C. D. 8．如图，在矩形中，M、N分别为边、边的中点， 将矩形沿折叠，使A点恰好落在上的点F处， 则∠的度数为( ). A．20°B．25 °C．30°D．36° 9.为了解某区九年级学生课外体育活动的情况，从该年级学生中随机 抽取了4%的学生，对其参加的体育活动项目进行了调查，将调查的数据进行统计并绘制了扇形图和条形图.下列结论：①被抽测学生中参加羽毛球项目人数为30人；②在本次调查中“其他”的扇形的圆心角的度数为36°；③估计全区九年级参加篮球项目的学生比参加足球项目的学生多20%；④全区九年级大约有1500名学生参加乒乓球项目.其中正确结论的个数是( ). A. 1个 B.2个 C. 3个 D.4个 10．如图，等腰△中，∠90°，4，⊙C的半径为1，点P在斜边上，切⊙O于点Q，则切线长长度的最小值为( ). A. B. C. 3 D.4 二、填空题（18分） 11．如图，四个边长为1的小正方形拼成一个大正方形，A、B、O
中学自主招生数学试卷 一、选择题（共5小题，每题4分，满分20分） 1．（4分）下列图中阴影部分面积与算式|﹣|+（）2+2﹣1的结果相同的是（） A．B．D． 2．（4分）如图，∠ACB=60°，半径为2的⊙O切BC于点C，若将⊙O在CB上向右滚动，则当滚动到⊙O与CA也相切时，圆心O移动的水平距离为（） A．2πB．4πC．2D．4 3．（4分）如果多项式x2+px+12可以分解成两个一次因式的积，那么整数p的值可取多少个（） A．4 B．5 C．6 D．8 4．（4分）小明、小林和小颖共解出100道数学题，每人都解出了其中的60道，如果将其中只有1人解出的题叫做难题，2人解出的题叫做中档题，3人都解出的题叫做容易题，那么难题比容易题多多少道（） A．15 B．20 C．25 D．30 5．（4分）已知BD是△ABC的中线，AC=6，且∠ADB=45°，∠C=30°，则AB=（） A．B．2C．3D．6 二、填空题（共6题，每小题5分，满分30分） 6．（5分）满足方程|x+2|+|x﹣3|=5的x的取值范围是． 7．（5分）已知三个非负实数a，b，c满足：3a+2b+c=5和2a+b﹣3c=1，若m=3a+b﹣7c，则m的最小值为． 8．（5分）如图所示，设M是△ABC的重心，过M的直线分别交边AB，AC于P，Q两
点，且=m，=n，则+=． 9．（5分）在平面直角坐标系中，横坐标与纵坐标都是整数的点（x，y）称为整点，如果 将二次函数的图象与x轴所围成的封闭图形染成红色，则此红色区域内部及其边界上的整点个数有个． 10．（5分）如图所示：在平面直角坐标系中，△OCB的外接圆与y轴交于A（0，），∠OCB=60°，∠COB=45°，则OC=． 11．（5分）如图所示：两个同心圆，半径分别是和，矩形ABCD边AB，CD分别为两圆的弦，当矩形ABCD面积取最大值时，矩形ABCD的周长是． 三、简答题（共4小题，满分50分） 12．（12分）九年级（1）、（2）、（3）班各派4名代表参加射击比赛，每队每人打两枪，射中内环得50分，射中中环得35分，射中外环得25分，脱靶得0分．统计比赛结果，（1）班8枪全中，（2）班1枪脱靶，（3）班2枪脱靶，但三个班的积分完全相同，都是255分． 请将三个班分别射中内环、中环、外环的次数填入下表并简要说明理由： 班级内环中环外环
人教版2019-2020学年高一自主招生考试英语试卷C卷 一、单项填空(共25小题，每小题1分，满分25分) (共25题；共25分) 1. （1分）—How do you celebrate Spring Festival ？ —_____ getting together with my family and having a wonderful meal. A . By B . With C . In D . For 2. （1分）— Pandas are in danger. What should we do? — give some money to the groups like WWF to protect them? A . Why not B . What about C . Let's D . We should 3. （1分）She doesn't know how to her naughty children. A . deal B . take C . manage 4. （1分）—Must I leave now? —No, you_________. You may still stay here if you like. A . mustn't B . can't C . don't have to D . won't 5. （1分）—Would you like to go fishing with me? —I don't feel like it. I would rather _______ at home and have a sleep. A . stay B . to stay C . staying
2010年科学素养测试 数学试题 【卷首语】亲爱的同学们，欢迎参加一六八中学自主招生考试，希望你们凝神静气，考出水平！开放的一六八中学热忱欢迎你们！本学科满分为120分，共17题；建议用时90分钟。 一、填空题（本大题共12小题，每小题5分，共60分） 1、计算= . 2、分解因式：= . 3、函数中，自变量x的取值范围是. 4、已知样本数据x1，x2，…，x n的方差为1，则数据10x1＋5，10x2＋5，…，10x n＋5的方 差为. 5、函数的图像与坐标轴的三个交点分别为（a, 0）(b, 0)（0, c)，则a+b+c的值等 于. 6、在同一平面上，⊙、⊙的半径分别为2和1，＝5，则半径为9且与⊙、⊙都相切的圆有 个． 7、一个直角三角形斜边上的两个三等分点与直角顶点的两条连线段长分别为3 cm和4 cm， 则斜边长为cm . 8、用黑白两种颜色的正六边形地面砖按如下所示的规律，拼成若干个图案：
则第10个图案中有白色地面砖块. 9、将函数的图像平移，使平移后的图像过C（0，-2），交x轴于A、B两点，并且△ABC 的面积等于4，则平移后的图像顶点坐标是. 10、如图，平行四边形ABCD中，P点是形内一点，且△P AB的面积等于8 cm2，△P AD的 面积等于7 cm2，，△PCB的面积等于12 cm2，则△PCD的面积是cm2. （第10题图）（第11题图） 11、一个由若干个相同大小的小正方体组成的几何组合体，其主视图与左视图均为如图所 示的3 × 3的方格，问该几何组合体至少需要的小正方体个数是. 12、正△ABC内接于⊙O，D、E分别是AB、AC的中点，延长DE交⊙O与F, 连接BF交 AC于点P,则. 二、解答题（本大题共5小题，每小题12分，共60分） 13、已知（a+b）∶(b+c)∶(c+a)=7∶14∶9 求：①a∶b∶c②
2019数学试题 考试时间 100分钟 满分100分 说明：（1）请各位同学注意，本试卷题目有一定的难度，你要根据自己的情况量力而行，争取用最短的时间获得最多的分数，提高自己的考试效率！考试，比的不仅是知识和能力，更重要的是要有良好的心态和适合自己的期望值，争取把会做的题目都做对，祝你取得好成绩！ （2）请在背面的答题纸上作答。另外，答完题后注意保护好自己的答案，防止他人的不劳而获，要做到公平竞争！ 一、选择题（共8个小题，每小题4分，共32分）。每小题均给出了代号为A ，B ，C ，D 的四个选项，其中有且只有一个选项是正确的。请将正确选项的代号填入试卷背面的表格里，不填、多填或错填都得0分。 1．某旅游城市为向游客介绍本地的气温情况，绘制了一年中月平均最高气温和平均最低 气温的雷达图．图中A 点表 示十月的平均最高气温约为15C o ，B 点表示四月的平均最低气温约为5C o ．下面叙述不 正确的是 A ．各月的平均最低气温都在0C o 以上 B ．七月的平均温差比一月的平均温差大 C ．三月和十一月的平均最高气温基本相同 D ．平均气温高于20C o 的月份有5个 2．上图是二次函数2y ax bx c =++的部分图象，由图象可知不等式20ax bx c ++<的解集为 A ．1x <-或5x > B ．5x > C ．15x -<< D ．无法确定 第2题 20C o 15C o 10C o 5C o A 十月 四月 三月 二月 一月十二月 十一月 九月 八月 七月 六月 五月 B 平均最低气温 平均最高气温
3．小敏打开计算机时，忘记了开机密码的前两位，只记得密码第一位是,,M I N 中的一 个字母，第二位是1，2，3，4，5中的一个数字，则小敏输入一次密码能够成功开机的概率是 A ． 115 B ． 815 C ．18 D ． 130 4．在ABC ?中，内角A 、B 、C 的对边分别为a 、b 、c ．若22245b c b c +=+-且 222a b c bc =+-，则ABC ?的面积为 A B C D 5．上图是由圆柱与圆锥组合而成的几何体的三视图，则该几何体的表面积．．． （表面面积，也叫全面积）为 A ．20π B ．24π C ．28π D ．32π 参考公式：圆锥侧面积S rl π=，圆柱侧面积2S rl π=，其中r 为底面圆的半径，l 为母线长． 6．如下图，在ABC ?中，AB AC =，D 为BC 的中点， BE AC ⊥于E ，交AD 于P ，已知3BP =，1PE =， 则AE = A B C D 7．ABC ?的内角A 、B 、C 的对边分别为a 、b 、c ．已知a =，2c =，2cos 3 A =，则b = A B C ．2 D ．3 8．如下图，小明从街道的E 处出发，先到F 处与小红会合，再一起到位于G 处的老年公寓参加志愿者活动，则小明到老年公寓可以选择的最短．．路径条数为 A ．9 B ．12 C ．18 D ．24 E G F g g g 正视图 g 侧视图 俯视图 第5题图
2013年全国高校自主招生数学模拟试卷2 一．选择题（36分，每小题6分） 1、 函数f(x)=)32(log 22 1--x x 的单调递增区间是 (A) (-∞，-1) (B) (-∞，1) (C) (1，+∞) (D) (3，+∞) 解：由x 2-2x-3>0?x<-1或x>3，令f(x)=u 2 1log , u= x 2-2x-3，故选A 2、 若实数x, y 满足(x+5)2+(y -12)2=142，则x 2+y 2的最小值为 (A) 2 (B) 1 (C) 3 (D) 2 解：B 3、 函数f(x)= 22 1x x x -- (A) 是偶函数但不是奇函数 (B) 是奇函数但不是偶函数 (C) 既是奇函数又是偶函数 (D) 既不是奇函数又不是偶函数 解：A 4、 直线134=+y x 椭圆 19 162 2=+y x 相交于A ，B 两点，该圆上点P ，使得⊿PAB 面积等于3，这样的点P 共有 (A) 1个 (B) 2个 (C) 3个 (D) 4个 解：设P 1(4cos α,3sin α) (0<α<2 π )，即点P 1在第一象限的椭圆上，如图，考虑四边形P 1AOB 的面积S 。 S=11 O BP O AP S S ??+=ααcos 432 1 sin 3421??+??=6(sin α+cos α)=)4sin(26πα+ ∴S max =62 ∵S ⊿OAB =6 ∴626)(max 1-=?AB P S ∵626-<3 ∴点P 不可能在直线AB 的上方，显然在直线AB 的下方有两个点P ，故选B 5、 已知两个实数集合A={a 1, a 2, … , a 100}与B={b 1, b 2, … , b 50}，若从A 到B 的映射f 使得B 中的 每一个元素都有原象，且f(a 1)≤f(a 2)≤…≤f(a 100)，则这样的映射共有 (A) 50100C (B) 5090C (C) 49100C (D) 49 99C 解：不妨设b 1最新大专高职自主招生考试英语练习卷
2011年上海市普通高等学校 招收应届中等职业学校毕业生统一文化考试 英语试卷 （满分100分，考试时间100分钟） 第Ⅰ卷（共70分） I.听力理解（本大题共20分） Part A 短对话理解：根据所听到的短对话，选出最恰当的答案。（本部分共8分，每小题1分） 1. A. Librarian and reader. B. Consumer and repairman. C. Boss the secretary. D. Shop-assistant and customer. 2. A. At the bus station. B. At the airport. C. At the post office. D. At the bank. 3. A. Library. B. Supermarket. C. Kindergarten. D. Book store. 4. A. The film lasted long. B. The woman didn’t see the film. C. The film isn’t worth seeing. D. The woman wants to see the film again. 5. A. Next to the railway station. B. Opposite the Tower Building. C. Next to the Tower Building. D. Opposite the Bank. 6. A. The yellow button. B. The white button. C. The blue button. D. The red button. 7. A. In a book store. B. At a bank. C. At a post office. D. In a library. 8. A. Sit down. B. Remain standing. C. Find himself a seat. D. Go ahead of the woman. Part B 长对话理解：根据所听到的长对话，选出最恰当的答案。（本部分共6分，每小题1分） (A) 9. A. Worried. B. Amused. C. Disappointed. D. Excited. 10. A. I missed two classes. B. I missed three classes. C. I missed no classes. D. I missed five classes. 11. A. I have balanced my life. B. I haven’t put all my heart into my study. C. I gave up the job. D. I failed in my English examination. . (B) 12. A. The woman doesn’t give the man any help. B. The woman gives the man some advice. C. The man gives the woman some help.
2018上海中学数学自主招生试卷及答案 1. 因式分解：326114x x x -++= 【答案】(1)(34)(21)x x x --+ 【解析】有理根法，有理根p c q = ，分子是常数项的因数，分母是首项系数的因数。 2. 设0a b >>，224a b ab +=，则a b a b +=- 【答案】3 【解析】左右同除以ab ，然后采用换元法；或者采用下面的方式 3. 若210x x +-=，则3223x x ++= 【答案】4 【解析】采用降幂来完成；
4. 已知21()()()4b c a b c a -=--，且0a ≠，则b c a += 【答案】2 【解析】同除以a ，然后采用换元法 ()2 2 440b c b c a a ++-+= 5. 一个袋子里装有两个红球和一个白球（仅颜色不同），第一次从中取出一个球，记下颜 色后放回，摇匀，第二次从中取出一个球，则两次都是红球的概率是 【答案】 4 9
【解析】难度简单，直接为2/3的平方 6. 直线:33l y x =-+与x 、y 轴交于点A 、B ，AOB ?关于直线AB 对称得到ACB ?， 则点C 的坐标是 【答案】33 (, )2 【解析】采用画图的方法解决 7. 一张矩形纸片ABCD ，9AD =，12AB =，将纸片折叠，使A 、C 两点重合，折痕长是 【答案】 454 【解析】
8. 任给一个正整数n ，如果n 是偶数，就将它减半（即2 n ），如果n 是奇数，则将它乘以3 加1（即31n ），不断重复这样的运算，现在请你研究：如果对正整数n （首项）按照上 述规则施行变换（注：1可以多次出现）后的第八项为1，则n 所有可能取值为 【答案】128、2、16、20、3、21 【解析】
全国各重点大学自主招生数学试题及答案分类汇总一．集合与命题 (2) 二．不等式 (9) 三．函数 (20) 四．数列 (27) 五．矩阵、行列式、排列组合，二项式定理，概率统计 (31) 六．排列组合，二项式定理，概率统计（续）复数 (35) 七．复数 (39) 八．三角 (42)
近年来自主招生数学试卷解读 第一讲集合与命题 第一部分近年来自主招生数学试卷解读 一、各学校考试题型分析： 交大： 题型：填空题10题，每题5分；解答题5道，每题10分； 考试时间：90分钟，满分100分； 试题难度：略高于高考，比竞赛一试稍简单； 考试知识点分布：基本涵盖高中数学教材高考所有内容，如：集合、函数、不等式、数列（包括极限）、三角、复数、排列组合、向量、二项 式定理、解析几何和立体几何 复旦： 题型：试题类型全部为选择题（四选一）； 全考试时间：总的考试时间为3小时（共200道选择题，总分1000分，其中数学部分30题左右，，每题5分）； 试题难度：基本相当于高考； 考试知识点分布：除高考常规内容之外,还附加了一些内容,如：行列式、矩阵等； 考试重点：侧重于函数和方程问题、不等式、数列及排列组合等 同济： 题型：填空题8题左右，分数大约40分，解答题约5题，每题大约12分； 考试时间：90分钟，满分100分； 试题难度：基本上相当于高考； 考试知识点分布：常规高考内容 二、试题特点分析： 1. 突出对思维能力和解题技巧的考查。
关键步骤提示： 2. 注重数学知识和其它科目的整合，考查学生应用知识解决问题的能力。 关键步骤提示： ()()() 42432 22342(2)(2)(1)(2)(1) f a x x a x x x x x x a x x x =--++-=+-+++-1 1 1 (,),(,),(,)n n n i i i i i i i i i i i d u w a d v w b d u v a b a b a b ======-+≥-∑∑∑由绝对值不等式性质，
Independent Recruitment English Exam (July 2016-C) Time: 90 minutes Student’s Name: School’s Name: Section I：Use of Language 语言运用(Total Marks 25%) Direction: For each of them there are four choices marked A, B, C, and D. You should decide on the best choice for each question in the answer sheet. 1. It is no longer a problem _______ the poor children in this district can go to school. A. that B. whether C. so D. because 2. A survey was carried out on the death rate of those who were infected by SARS, ________were surprising. A. as results B. which results C. the results of it D. the results of which 3. The organization broke no rules, but ______had it acted responsibly. A. neither B. so C. either D. both 4. Many workers were organized to clear away ______remained of the World Trade Center. A. those B. that C. what D. where 5. My train arrive in New York at eight o'clock tonight. The plane I would like to take from there ______by then. A. would leave B. will have left C. has left D. had left 6. The professor could hardly find sufficient grounds _____his arguments in favor of the new theory. A. to be based on B. to base on C. which to base on D. on which to base 7. — Will you go to the party? — Of course I will if______. A. having invited B. invited C. I was invited D. I will be invited
2013年全国高校自主招生数学模拟试卷一 一、选择题（本题满分36分，每小题6分） 1. 如图，在正四棱锥 P ?ABCD 中，∠APC =60°，则二面角A ?PB ?C 的平面角的余弦值为（ ） A. 7 1 B. 7 1- C. 2 1 D. 2 1- 2. 设实数a 使得不等式|2x ?a |+|3x ?2a |≥a 2 对任意实数x 恒成立，则满足条件的a 所组成的集合是（ ） A. ]3 1,31[- B. ]21,21[- C. ]3 1,41[- D. [?3，3] 3. 将号码分别为1、2、…、9的九个小球放入一个袋中，这些小球仅号码不同，其余完全 相同。甲从袋中摸出一个球，其号码为a ，放回后，乙从此袋中再摸出一个球，其号码为b 。则使不等式a ?2b +10>0成立的事件发生的概率等于（ ） A. 81 52 B. 81 59 C. 81 60 D. 81 61 4. 设函数f (x )=3sin x +2cos x +1。若实数a 、b 、c 使得af (x )+bf (x ?c )=1对任意实数x 恒 成立，则 a c b cos 的值等于（ ） A. 2 1- B. 21 C. ?1 D. 1 5. 设圆O 1和圆O 2是两个定圆，动圆P 与这两个定圆都相切，则圆P 的圆心轨迹不可能是 （ ） 6. 已知A 与B 是集合{1，2，3，…，100}的两个子集，满足：A 与B 的元素个数相同，且为A ∩B 空集。若n ∈A 时总有2n +2∈B ，则集合A ∪B 的元素个数最多为（ ） A. 62 B. 66 C. 68 D. 74 二、填空题（本题满分54分，每小题9分） 7. 在平面直角坐标系内，有四个定点A (?3，0)，B (1，?1)，C (0，3)，D (?1，3)及一个动点P ，则|PA |+|PB |+|PC |+|PD |的最小值为__________。 8. 在△ABC 和△AEF 中，B 是EF 的中点，AB =EF =1，BC =6， 33=CA ，若2=?+?，则与的夹角的余弦值等于________。 9. 已知正方体ABCD ?A 1B 1C 1D 1的棱长为1，以顶点A 为球心， 3 3 2为半径作一个球，则球面与正方体的表面相交所得到的曲线的长等于__________。 10. 已知等差数列{a n }的公差d 不为0，等比数列{b n }的公比q 是小于1的正有理数。若a 1=d ， b 1=d 2 ，且3 212 3 2221b b b a a a ++++是正整数，则q 等于________。 11. 已知函数)45 41(2)cos()sin()(≤≤+-= x x πx πx x f ，则f (x )的最小值为________。 12. 将2个a 和2个b 共4个字母填在如图所示的16个小方格内，每个小方 格内至多填1个字母，若使相同字母既不同行也不同列，则不同的填法共有________种（用数字作答）。 三、解答题（本题满分60分，每小题20分） D P
学校自主招生选拔考试英语试题 一、单项选择(共10分，每小题 1 分) ()1. —Is Mary in the classroom -No. She _________ to the library. B.has gone C. had gone D. would go ( ) don 't be so impolite to the young man. --Sorry. I tried to make him know that I 'm not interested in him,but he never got the . B.news C. message D. Word ( )3 —Must I go to the shop with you ，Mum —Err... I can make it myself ，Mike. You go with me. 't 't 't 't ()4. —What are the workers doing there -- They're two islands with a bridge. B.building C. joining D. passing ()5. —Mr Smith, I ' m so sorry the traffic is too . --There is no excuse for your coming to school late. B.crowded C. heavy D. Quick ( )6 —Will the newly married couple come for dinner -- No, of them is free today. B.not all C. neither D. not both ()7. - What' s wrong
上海交通大学2007年冬令营选拔测试数学试题 一、填空题（每小题５分，共50分) １．设函数 () f x 满足 2(3)(23)61 f x f x x +-=+,则 ()f x = . 2.设,,a b c 均为实数，且364a b ==,则11a b -= . 3.设0a >且1a ≠,则方程2122x a x x a +=-++的解的个数为 ． 4．设扇形的周长为６,则其面积的最大值为 . 5．11!22!33!!n n ?+?+?++?= . ６.设不等式(1)(1)x x y y -≤-与22x y k +≤的解集分别为M 和N ．若M N ?，则k 的最小值为 . ７ . 设 函 数 ()x f x x = ,则 2112()3()()n S f x f x nf x -=++++= ． 8．设0a ≥，且函数()(cos )(sin )f x a x a x =++的最大值为 25 2 ,则a = ． 9.6名考生坐在两侧各有通道的同一排座位上应考，考生答完试卷的先后次序不定，且每人答完后立即交卷离开座位,则其中一人交卷时为到达通道而打扰其余尚在考试的考生的概率为 ． 10.已知函数121 ()1 x f x x -= +,对于1,2,n =,定义11()(())n n f x f f x +=,若 355()()f x f x =，则28()f x = . 二、计算与证明题(每小题10分，共50分)
１1.工件内圆弧半径测量问题. 为测量一工件的内圆弧半径R ,工人用三个半径均为r 的圆柱形量棒 123,,O O O 放在如图与工件圆弧相切的位置上,通过深度卡尺测出卡尺 水平面到中间量棒2O 顶侧面的垂直深度h ，试写出R 用h 表示的函数关系式，并计算当 10,4r mm h mm ==时，R 的值． 1２.设函数()sin cos f x x x =+，试讨论()f x 的性态（有界性、奇偶性、单调性和周期性)，求其极值,并作出其在[]0,2π内的图像． １３．已知线段AB 长度为3，两端均在抛物线2x y =上,试求AB 的中点M 到y 轴的最短距离和此时M 点的坐标. 参考答案:
2017年自主招生考试英语试题及答案（初中升高中） 英语试卷 知识运用（共27分） 单项填空（共15分，每小题1分） 从下面各题所给的A、B、C、D四个选项中，选择可以填入空白处最佳选项。 21. I'm talking to you, Jack. Please listen to ______ carefully. A. me B. mine C. you D. yours 22. Both my parents were born ______ 1970. A. at B. in C. on D. to 23. Hurry up, ______ you will miss the plane. A. and B. but C. so D. or 24. --- ______ do you play football? --- Once a week. A. How much B. How long C. How often D. How far 25. We have a lovely room. It's one of ______ in the hotel. A. nice B. nicer C. nicest D. the nicest 26. --- Can you ride a horse? --- No, I ______. A. needn't B. may not C. can't D. mustn't 27. I knocked on the door but ______ answered. A. somebody B. nobody C. anybody D. everybody 28. Paul and I ______ tennis yesterday. He did much better than I. A. play B. will play C. played D. are playing 29. Where's Tom? His mother ______ him now. A. is looking for B. will look for C. has looked for D. looks for 30. --- Excuse me, could you tell me how ______ to Beijing Zoo? --- Well, you may take Bus No.27. A. get B. gets C. getting D. to get
高中自主招生考试数学试卷 亲爱的同学： 欢迎你参加萧山中学自主招生考试。萧山中学是省一级重点中学，有雄厚的师资，优秀的学生，先进的育人理念，还有美丽的校园，相信你的加盟将使她更加星光灿烂。为了你能顺利地参加本次考试，请你仔细阅读下面的话： 1、试卷分试题卷和答题卷两部分。满分为100分，考试时间为70分钟。 2、答题时，应该在答题卷密封区内写明姓名、学校和准考证号码。 3、所有答案都必须做在答题卷标定的位置上，请务必注意试题序号和答题序号相对应。 一、选择题：（每个题目只有一个正确答案，每题4分，共32分） 1．计算tan602sin 452cos30?+?-?的结果是（ ） A ．2 B ．2 C ．1 D ．3 2．如图，边长为1的正方形ABCD 绕点A 逆时针旋转30?到正方形AB C D '''，图中阴影部分的面积为（ ） A ．313 - B ． 33 C ．314 - D ． 12 3．已知b a ,为实数，且1=ab ，设11+++= b b a a M ，1 1 11++ +=b a N ，则N M ,的大小关系是（ ） A ．N M > B ．N M = C ．N M < D ．无法确定 4. 一名考生步行前往考场， 10分钟走了总路程的 4 1 ，估计步行不能准时到达，于是他改乘出租车赶往考场，他的行程与时间关系如图所示（假定总路程为1），则他到达考场所花的时间比一直步行提前了( ) A ．20分钟 Ｂ．22分钟 Ｃ．24分钟 D ．26分钟 5.二次函数1422 ++-=x x y 的图象如何移动就得到2 2x y -=的图象（ ） A. 向左移动1个单位，向上移动3个单位。 B. 向右移动1个单位，向上移动3个单位。 C. 向左移动1个单位，向下移动3个单位。 D. 向右移动1个单位，向下移动3个单位。 6．下列名人中：①比尔?盖茨 ②高斯 ③刘翔 ④诺贝尔 ⑤陈景润 ⑥陈省身 ⑦高尔基 ⑧爱因斯坦，其中是数学家的是（ ） A ．①④⑦ B ．②④⑧ C ．②⑥⑧ D ．②⑤⑥ 7．张阿姨准备在某商场购买一件衣服、一双鞋和一套化妆品，这三件物品的原价和优惠方 式如下表所示： 欲购买的 商品 原价（元） 优惠方式 A B C D B ' D C '