必修4综合练习

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必修1、3、4、5综合练习题1

必修1、3、4、5综合练习题一、选择题：1、集合U ＝{1,2,3,4,5,6}，S ＝{1,4,5}，T ＝{2,3,4}，则S ∩(∁U T )等于( )A ．{1,4,5,6}B ．{1,5}C ．{4}D ．{1,2,3,4,5} 2、已知U ＝{y |y ＝log 2x ，x >1}，P ＝⎩⎨⎧⎭⎬⎫y |y ＝1x ，x >2，则∁U P ＝( )A.⎣⎡⎭⎫12，＋∞B.⎝⎛⎭⎫0，12C.()0，＋∞D.(]－∞，0∪⎣⎡⎭⎫12，＋∞ 3、已知函数f (x )＝⎩⎪⎨⎪⎧2x，x >0，x ＋1，x ≤0.若f (a )＋f (1)＝0，则实数a 的值等于( )A ．－3B ．－1C ．1D ．34、已知角θ的顶点与原点重合，始边与x 轴的正半轴重合，终边在直线y ＝2x 上，则cos2θ＝( )A ．－45B ．－35 C.35 D.455、设变量x ，y 满足⎩⎪⎨⎪⎧x ＋y ≤1，x －y ≤1，x ≥0，则x ＋2y 的最大值和最小值分别为( )A ．1，－1B ．2，－2C ．1，－2D ．2，－1 6、若函数f (x )＝x ＋1x －2(x >2)在x ＝a 处取最小值，则a ＝( )A ．1＋ 2B ．1＋ 3C ．3D ．47、如图1－1，矩形ABCD 中，点E 为边CD 的中点．若在矩形ABCD 内部随机取一个点Q ，则点Q 取自△ABE 内部的概率等于( )图1－1A.14B.13C.12D.238、有一个容量为66的样本，数据的分组及各组的频数如下：[11.5,15.5) 2 [15.5,19.5) 4 [19.5,23.5) 9 [23.5,27.5) 18 [27.5,31.5) 11 [31.5,35.5) 12 [35.5,39.5) 7 [39.5,43.5) 3根据样本的频率分布估计，数据落在[31.5,43.5)的概率约是( ) A.16 B.13 C.12 D.239、执行如图1－1所示的程序框图，如果输入的N 是6，那么输出的p 是( )A ．120B ．720C ．1440D ．504010、函数()cos f x x =在[0,)+∞内（A ）没有零点（B ）有且仅有一个零点（C ）有且仅有两一个零点（D ）有无穷个零点 11、10名工人某天生产同一零件，生产的件数是15,17,14,10,15,17,17,16,14,12,设其平均数为a ,中位数为b ,众数为c ，则有( )A c b a >>B a c b >>C b a c >>D a b c >>12、已知向量)sin ,(cos θθ=,向量)1,3(-=则|2|-的最大值，最小值分别是（）A 0,24B 24,4C 16,0D 4,0二、填空题；13、已知log 2a ＋log 2b ≥1，则3a ＋9b 的最小值为________．14、已知向量a ，b 满足(a ＋2b )·(a －b )＝－6，且|a |＝1，|b |＝2，则a 与b 的夹角为________． 15、从1,2,3,4这四个数中一次随机地取两个数，则其中一个数是另一个数的两倍的概率是________． 16、某市有大型超市200家、中型超市400家、小型超市1400家，为掌握各类超市的营业情况，现按分层抽样方法抽取一个容量为100的样本，应抽取中型超市________家．17、《九章算术》“竹九节”问题：现有一根9节的竹子，自上而下各节的容积成等差数列，上面4节的容积共3升，下面3节的容积共4升，则第5节的容积为________升．18、若22xx ≥，则x 的取值范围是____________三、解答题：19、已知等比数列{a n }的公比q ＝3，前3项和S 3＝133.(1)求数列{a n }的通项公式；(2)若函数f (x )＝A sin(2x ＋φ)(A >0,0<φ<π)在x ＝π6处取得最大值，且最大值为a 3，求函数f (x )的解析式．20、△ABC 的内角A 、B 、C 的对边分别为a 、b 、c .已知A －C ＝90°，a ＋c ＝2b ，求C .21、等比数列{a n }的各项均为正数，且2a 1＋3a 2＝1，a 23＝9a 2a 6.(1)求数列{a n }的通项公式；(2)设b n ＝log 3a 1＋log 3a 2＋…＋log 3a n ，求数列⎩⎨⎧⎭⎬⎫1b n 的前n 项和．22、已知12)(),cos 21,2sin 1(),sin 23,2sin 1(+⋅=-=+=b a x f x x b x x a (I)求函数()f x 的最小正周期和最大值;(II)该函数的图象可由sin ()y x x R =∈的图象经过怎样的平移和伸缩变换得到?参考答案：一、选择题1、 B 【解析】 S ∩(∁U T )＝{1,4,5} ∩{1,5,6}＝{1,5}2、 A 【解析】因为U ＝{y |y ＝log 2x ，x >1}＝{y |y >0}，P ＝⎩⎨⎧⎭⎬⎫y |y ＝1x ，x >2＝⎩⎨⎧⎭⎬⎫y ⎪⎪0<y <12，所以∁U P ＝⎩⎨⎧⎭⎬⎫y ⎪⎪y ≥12＝⎣⎡⎭⎫12，＋∞3、A 【解析】由已知，得f (1)＝2；又当x >0时，f (x )＝2x >1，而f (a )＋f (1)＝0，∴f (a )＝－2，且a <0，∴a ＋1＝－2，解得a ＝－3，故选A4、B 【解析】解法1：在角θ终边上任取一点P (a,2a )(a ≠0)，则r 2＝||OP 2＝a 2＋(2a )2＝5a 2，∴cos 2θ＝a 25a 2＝15，∴cos2θ＝2cos 2θ－1＝25－1＝－35.解法2：tan θ＝2a a ＝2，cos2θ＝cos 2θ－sin 2θcos 2θ＋sin 2θ＝1－tan 2θ1＋tan 2θ＝－35. 5、B 【解析】画出可行域(如图所示阴影部分)．可知当直线u ＝x ＋2y 经过A (0,1)，C (0，－1)时分别对应u 的最大值和最小值．故u max ＝2，u min ＝－2.6、C 【解析】 ∵x ＞2，∴f (x )＝x ＋1x －2＝(x －2)＋1x －2＋2≥2(x －2)·1x －2＋2＝4，当且仅当x －2＝1x －2，即x ＝3时取等号．7、C 【解析】因为S △ABE ＝12|AB |·|BC |，S 矩形＝|AB |·|BC |，则点Q 取自△ABE 内部的概率p ＝S △ABE S 矩形＝129、【解析】 k ＝1时，p ＝1；k ＝2时，p ＝1×2＝2； k ＝3时，p ＝2×3＝6； k ＝4时，p ＝6×4＝24； k ＝5时，p ＝24×5＝120； k ＝6时，p ＝120×6＝720.8、B 【解析】根据样本中的频率分布可得：数据落在[31.5,43.5)的概率约是12＋7＋366＝2266＝13.10、B 【解析】：令1y =2cos y x =，则它们的图像如图故选B11、D 总和为147,14.7a =；样本数据17分布最广，即频率最大，为众数，17c =；从小到大排列，中间一位，或中间二位的平均数，即15b =12、6 D 2(2cos 2sin 1),|2|a b a b θθ-=+-===4，最小值为0二、填空题；13、18 【解析】 ∵log 2a ＋log 2b ＝log 2ab ≥1，∴ab ≥2，∴3a ＋9b ＝3a ＋32b ≥23a ·32b ＝23a＋2b≥2322ab＝18.14、π3 【解析】设a 与b 的夹角为θ，依题意有(a ＋2b )·(a －b )＝a 2＋a ·b －2b 2＝－7＋2cos θ＝－6，所以cos θ＝12.因为0≤θ≤π，故θ＝π3.15、13 【解析】一次随机抽取两个数共有1,2；1,3；1,4；2,3；2,4；3,4，一个数是另一个数的2倍的有2种，故所求概率为13.16、20 【解析】由题意，样本容量为200＋400＋1400＝2000, 抽样比例为1002000＝120，所以中型超市应抽120×400＝20家． 17、6766 【解析】设所构成的等差数列{}a n 的首项为a 1，公差为d ，由⎩⎪⎨⎪⎧a 1＋a 2＋a 3＋a 4＝3，a 7＋a 8＋a 9＝4，得⎩⎪⎨⎪⎧4a 1＋6d ＝3，3a 1＋21d ＝4，解得⎩⎨⎧a 1＝1322，d ＝766，所以a 5＝a 1＋4d ＝6766.18、 [2,4] 在同一坐标系中画出函数2y x =与2xy =的图象，可以观察得出三、解答题：19、【解答】 (1)由q ＝3，S 3＝133得a 1(1－33)1－3＝133，解得a 1＝13.所以a n ＝13×3n －1＝3n －2.(2)由(1)可知a n ＝3n －2，所以a 3＝3.因为函数f (x )的最大值为3，所以A ＝3；因为当x ＝π6时f (x )取得最大值，所以sin ⎝⎛⎭⎫2×π6＋φ＝1. 又0<φ<π，故φ＝π6.所以函数f (x )的解析式为f (x )＝3sin ⎝⎛⎭⎫2x ＋π6. 20、【解答】由a ＋c ＝2b 及正弦定理可得sin A ＋sin C ＝2sin B .又由于A －C ＝90°，B ＝180°－(A ＋C )，故 cos C ＋sin C ＝2sin(A ＋C ) ＝2sin(90°＋2C ) ＝2cos2C . 故22cos C ＋22sin C ＝cos2C ， cos(45°－C )＝cos2C . 因为0°<C <90°，所以2C ＝45°－C ，C ＝15°.21、【解答】 (1)设数列{a n }的公比为q ，由a 23＝9a 2a 6得a 23＝9a 24，所以q 2＝19. 由条件可知q ＞0，故q ＝13.由2a 1＋3a 2＝1得2a 1＋3a 1q ＝1，所以a 1＝13.故数列{a n }的通项公式为a n ＝13n .(2)b n ＝log 3a 1＋log 3a 2＋…＋log 3a n ＝－(1＋2＋…＋n ) ＝－n (n ＋1)2.故1b n ＝－2n (n ＋1)＝－2⎝⎛⎭⎫1n －1n ＋1， 1b 1＋1b 2＋…＋1b n ＝－2⎝⎛⎭⎫1－12＋⎝⎛⎭⎫12－13＋…＋⎝⎛⎭⎫1n －1n ＋1＝－2nn ＋1. 所以数列⎩⎨⎧⎭⎬⎫1b n 的前n 项和为－2nn ＋1.22、21sin ()2(cos )14x f x x x -=++=15sin(2)264x π++. (I) f(x)的最小正周期为T=22ππ=. ∵sin(2)[1,1]6x π+∈-, ∴f(x)的最大值为74. (II) 将函数sin ()y x x R =∈的图象向左平移6π个单位,再将横坐标与纵坐标均缩小到原来的12倍,最后将图象向上平移54个单位,即可得到.。

及时练-人教必修4高中英语：Unit 4 Body Language 单元综合评估测试

高一英语同步练习：必修4 Unit 4 Body Language单元综合评估测试（100分45分钟）一、单项选择（20分）1O The government plans to bring in new laws__________parents to take more responsibility for the education of their children OA O forcedB O forcingC O to be forcedD Ohaving forced2O Peter received a letter just now________his grandma would come to see him soon OA O saidB O saysC O sayingD O to say 3O I smell something________in the kitchen O Can I call you back in a minute?A O burningB O burntC O being burntD O to beburnt4O I hear they’ve promoted Tom, but he didn’t mention________when we talked on the phone OA O to promoteB O having been promotedC O having promotedD Oto be promoted5O It is worth considering what makes “convennience” foods so popular, and________ better ones of your own OA O introducesB O to introduceC O introducingD Ointroduced6O The visiting Minister expressed his satisfaction with the talks, ______ that he had enjoyed his stay here OA O having addedB O to addC O addingD O added 7O The groups acted ______ their story before the class OA O upB O asC O outD O on8O ______ with fire is dangerous OA O PlayB O PlayingC O PlayedD O To play9O ______the radio — the baby's asleep in the next room OA O Turn downB O Turn upC O Turning downD O Turning up10O If we can't find a house to live in, we'll have to______ without it OA O supplyB O manageC O supportD O stand11O Whenever I see this photo, I______ my mother OA O think upB O think overC O think ofD O think about12O He could hardly move a step further O You can't imagine how he______ to escape from the desert OA O succeeded OB O triedC O keptD O managed13O Are all Chinese textbooks ______ in your ______ house?A O publishing … publishingB O published … publishedC O publishing … publishedD O published … publishing14O His actions ______ his love more than any words could OA O tellB O expressC O showD O mean15O You should keep a secret of the things ______ here OA O discussingB O being discussingC O being discussedD O to be discussing16 They don't allow ______ in the building, but they allow me ______ outof it OA O to smoke … smokingB O smoking … smokingC to smoke … to smokeD O smoking … to smoke17O Never ______ faith in himself, the scientist went on with his research OA O to loseB O lostC O losingD O lose18O When Lu Xun saw that many people in China suffered diseases, he decided ______ a doctor OA O to becomeB O becomingC O to turnD O turning19O you want to do in your life, you must believe that you can be successful OA O WhatB O HowC O Now matter whatD O No matter how 20O The travellers preferred to stay in their own tent (帐篷) the night in the expensive hotel on the top of the mountain OA O rather than to spendB O to spendingC O rather than spendingD O rather than spend三: 完形填空(20分)It was an early morning in summer O In the streets, sleepy-eyed people were moving quickly, heading towards their 21 O This was the beginning of another 22 day in New York City O 23 this day was to be different O Waiting 24 the crowded streets, on top of a 25 110 stories high, was Philippe Pettit O This daring Frenchman was about to 26 a tightrope (绷索) between the two towers of the World Trade Center OPhilippe took his first 27 with great care O The wire held O Now he was 28 he could do it O 29 only a balancing Polar, Philippe walked his way across, a 30 of 131 feet OSoon the rush-hour 31 began to notice O What a 32 ! There, 1350 feet above the street, a 33 figure was walking on air OPhilippe made seven 34 , back and forth (来回)O He wasn't satisfied with just 35 O At times, he would turn, sit down, and 36 go on his knees O Once, he had the astonishing 37 to lie down on the thin thread O And thousands of 38 watchers stared with their hearts beating fast O After the forty-five-minute _39 , Philippewas taken to the police station O He was asked40 he did it O Philippe shrugged (耸肩) and said,“When I see two tall buildings, I walk O ”21O A O jobs B O homes C O buses D O offices22O A O working B O hot C O same D O ordinary23O A O And B O So C O But D O Thus24O A O for B O in C O by D O above25O A O roof B O position C O wall D O building26O A O throw B O walk C O climb D O fix27O A O act B O landing C O step D O trip28O A O sure B O uncertain C O glad D O nervous29O A O Through B O Against C O With D O On30O A O distance B O height C O space D O rope31O A O streets B O crowds C O passengers D O city32O A O height B O pleasure C O wonder D O danger33O A O great B O strange C O public D O tiny34O A O experiments B O circles C O tripsD O movements35O A O walking B O staying C O acting D O showing36O A O almost B O even C O often D O rather37O A O spirit B O result C O strength D O courage38 A O patient B O terrified C O pleased D O enjoyable39O A O show B O trick C O try D O program40O A O how B O why C O whether D O when四: 阅读理解（20分）AWe often hear people say, “I have a good memory for things like that” or “I can never remember names”O But do you know memory is the singlemost important thing and it has played a very important part?For early men, there were dangers all around them — bad weather, wild animals O The keys to keep on living lay in man’s ability to remember these dangers and the ways he had dealt with them in the past O In order for memories to be stored, the human brain became more complex O And as man learned how to deal with them, he became civilized (文明)O Surprisingly, scientists today understand little about memory and how it works O They have not yet found a way to open up the brain and observe its function without destroying it O Perhaps there are two types of memory — short-term and long-term O Short-term refers to those facts that stay with us for a few seconds to a few hours O For instance, when you stay at a hotel, you remember the room number and forget it as soon as you leave O Long-term memory, on the other hand, means you remember things for a long period of time O If you spend your honeymoon in a particular hotel, it’s likely that you’ll remember your stay quite clearly OScientists also believe that a short-term memory can become along-term memory through consolidation (巩固)O A lot of chemical and physical changes take place in the part of the brain O Although the human brain weighs three pounds, it contains 30 billion nerve cells (神经细胞) acting like a computer O When those changes strengthen the links (联系) in certain nerve cells, a thought becomes a part of the long-term memory O 41O According to the author, without the development of man’s memorythere would be ____OA O no modern worldB O no recorded historyC O no animalsD O no dangers42O Scientists’ knowledge about the function of brain is ______OA O interestingB O not enoughC O greatD O encouraging43O Short-term memory can change into long-term memory on condition that ______OA O memory is goodB O it acts like a computerC O people do more exerciseD the links in nerve cells are strengthened by certain changes44O So far the great discovery scientists have made about the function of brain is ______OA O the weight of brainB O two types of memoryC O 30 billion nerve cellsD O chemical and physical changes45O Which of the following is TRUE?A O The heavier the brain is, the better memory it has OB O Scientists can open the brain without destroying it OC O Memory is very important for early men OD O Early men’s memory was better because they could remember a lotof things OB“Passengers for Paris, Berlin, Moscow, Peking, Nanking, Shanghai, Cantonand Hong Kong, please go to Platform One O ”The travellers were now getting on the Central Kingdom Express at the Victoria Station O They were going to travel 142 days over 9 000 miles from London to Hong Kong O Among the passengers some were old people O Mrs Baily was the oldest in the party O She was a retired worker O “It’s no good sitting back if you retire,” she said, “One must do things one had no time to do O A trip like this will be very interesting O Won’t you think?”The trip was organized by Sunquest Holidays O It would cost each traveler almost $ 2600O From Hongkong they would fly back to London O Many of the passengers were interested in China O “I’ve always wanted to see China,” said Mr Haviland O “So I don’t mind spending six weeks on trains O ” Another passenger, Mr Barber, said, “We wanted to go straight to see China and to eat Chinese food, which we love O ”46O The train wouldn’t go to ______OA O BerlinB O LondonC O New YorkD O Nanking47O Mrs Baily believed that______OA O the retired people should leave homeB O a long journey would do good to the retired workersC O she should go on workingD O the retired people should have a good rest48O Which of the following is true?A O All the travellers were not retired workers OB O All the passengers would take the train for the whole trip OC O All travel agents organized this trip OD O It’s a free trip for the old people O49O They chose China as the main place to travel because ______OA O their friends asked them to do soB O China is very bigC O China is unknown to themD O they show great interest in China 50O We can know from the passage that ______OA O this journey would be very tiringB O China is the most marvelous place to travelC O old people are more interested in traveling than the youngstersD O some people cannot bear such a long trip五：短文改错(10分)I went to see the film after supper O On my way to the51_______________cinema O I met an English woman, who lost her way O52_______________I gave up the chance see the film and took her to her53_______________hotel O While go there, I told her about great changes54_______________that had been taken place here in the past few years55_______________and she had told me something about her country O56_______________Although I missed the film, but I still felt very happy, for 57_______________I had not only helped her out of trouble but practiced58_______________my spoken English O If I had not worked hard on 59O_______________English, I would not have been able to help him O60_______________IV：单词拼写（15分）61O They asked me so many questions that I got c_______________O62O In order to a____________ meeting him, I turned around and walked away O63O While staying in a five_ star hotel, you will feel completely at e_____O 64O All the soldiers decided to_____(保卫)their country O65O The two men have different______(面部的) expressions O66O Yesterday he made a speech at the meeting, ______（代表）our school O67O He is _____(可能的) to win the match O68O In _____(总的来说)，Mr O Wang is an honest man O69O She b___________ (over) to pick up a book from the floor O70O Mr O Black p__________ the boy on the shoulder and encouraged him O 六: 根据课文填空（10分）Body language is one of the 71O _______ 72O ______ 73O ______ of 74O ______, often even more powerful than 75O ______ 76O ______O People around the world 77O ______all kinds of 78O ______, wishes and 79O ______that they might never speak aloud O It is 80O ______ to read others around us O检测卷答案:一: 单项选择1—5: BCABC6—10: CCBAB 11—15:CDDBC 16—20:DCACD二:完型填空21---25:ADCDD 26---30:BCACA 31---35:BCDCA36---40:BDBAB四: 阅读理解41—45:ABDDC 46—50:CBADA五: 短文改错：51O film 前的the 改为a；52O lost 前加had ；53O see 前加to；54O go 改为going；55O 去掉been；56O 去掉had；57O 去掉but；58O 正确；59O on 改为at；60O him 改为her；六: 单词拼写：61O confused；62O avoid ；63O ease ；64O defend ；65O facial ；66O representing；67O likely ；68O general；69O bent；70O patted；七:课文填空：71O most；72O powerful；73O means ；74O communication；75O spoken ；76O language；77O show；78O feelings；79O attitudes；80O possible；。

(完整版)必修4经典练习题及答案

必修4第一章单元测试本试卷三角函数的大框架下，主要借助正弦函数和余弦函数这两种模型，从函数的定义域、值域、单调性、奇偶性，特别是新学习内容-----周期性出发，以这五个方面为主要内容而命制。

试卷中首先突出了弧度制的应用，函数状态下，弧度制的应用显然多于角度制，所以对这一学生较难接受的新概念，要在应用中体现其重要性。

其次，重基础，试卷加强了对知识形成过程的重视及拓宽。

优适当加强试题的灵活性。

第三，对数形结合的数学思想试题也比较突出。

第21题用单位圆可以做，用函数图像也可以做。

第四，体现了数学模型之间的互相转化。

反映出普遍联系的客观规律。

一、选择题：本答题共14小题，每小题5分，共70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.-300°化为弧度是（）A.34π-B.35π- C ．32π- D ．65π-2.为得到函数)32sin(π-=x y 的图象，只需将函数)62sin(π+=x y 的图像（）A ．向左平移4π个单位长度B ．向右平移4π个单位长度C ．向左平移2π个单位长度D ．向右平移2π个单位长度3.函数sin(2)3y x π=+图像的对称轴方程可能是（） A ．6x π=-B ．12x π=-C ．6x π=D ．12x π=4.点A(x,y)是300°角终边上异于原点的一点，则xy值为( ) A.3 B. - 3 C.33 D. -335. 函数)32sin(π-=x y 的单调递增区间是（）A ．⎥⎦⎤⎢⎣⎡+-125,12ππππk k Z k ∈ B ．⎥⎦⎤⎢⎣⎡+-1252,122ππππk k Z k ∈C ．⎥⎦⎤⎢⎣⎡+-65,6ππππk k Z k ∈ D ．⎥⎦⎤⎢⎣⎡+-652,62ππππk k Z k ∈ 6．sin(－310π)的值等于（）A ．21 B ．－21C ．23D ．－237.函数sin tan y x x =+的奇偶性是（）A ．奇函数B ．偶函数C ．既奇又偶函数D ．非奇非偶函数 8．下列各组角中，终边相同的角是 ( )A ．π2k 或()2k k Z ππ+∈B ． (21)k π+或(41)k π± )(Z k ∈C ．3k ππ±或k()3k Z π∈ D ．6k ππ+或()6k k Z ππ±∈9.已知cos tan 0θθ⋅<，那么角θ是（）Ａ．第一或第二象限角Ｂ．第二或第三象限角Ｃ．第三或第四象限角Ｄ．第一或第四象限角10．为了得到函数2sin(),36x y x R π=+∈的图像，只需把函数2sin ,y x x R =∈的图像上所有的点（）A ．向左平移6π个单位长度，再把所得各点的横坐标缩短到原来的31倍（纵坐标不变） B ．向右平移6π个单位长度，再把所得各点的横坐标缩短到原来的31倍（纵坐标不变） C ．向左平移6π个单位长度，再把所得各点的横坐标伸长到原来的3倍（纵坐标不变） D ．向右平移6π个单位长度，再把所得各点的横坐标伸长到原来的3倍（纵坐标不变）11．设函数()sin ()3f x x x π⎛⎫=+∈ ⎪⎝⎭R ，则()f x （）A ．在区间2736ππ⎡⎤⎢⎥⎣⎦，上是增函数 B ．在区间2π⎡⎤-π-⎢⎥⎣⎦，上是减函数 C ．在区间84ππ⎡⎤⎢⎥⎣⎦，上是增函数D ．在区间536ππ⎡⎤⎢⎥⎣⎦，上是减函数12．函数sin()(0,,)2y A x x R πωϕωϕ=+><∈的部分图象如图所示，则函数表达A．)48sin(4π+π-=x y B ．)48sin(4π-π=x yC ．)48sin(4π-π-=x yD ．)48sin(4π+π=x y13．函数sin(3)4y x π=-的图象是中心对称图形,其中它的一个对称中心是( )A ．,012π⎛⎫-⎪⎝⎭ B ． 7,012π⎛⎫- ⎪⎝⎭ C ． 7,012π⎛⎫ ⎪⎝⎭ D ． 11,012π⎛⎫⎪⎝⎭14．已知()21cos cos f x x +=，则()f x 的图象是下图的 ( )A B C D第Ⅱ卷（非选择题共90分）二、填空题（每小题6分，共30分）15.终边在坐标轴上的角的集合为_________.16.时针走过1小时50分钟，则分钟转过的角度是______.17. 已知扇形的周长等于它所在圆的周长的一半，则这个扇形的圆心角是________________.18.已知角α的终边经过点P(-5,12),则sin α+2cos α的值为______.19.一个扇形的周长是6厘米，该扇形的中心角是1弧度，该扇形的面积是________________.三、解答题：本大题共4小题，共60分。

新课标高一数学必修练习题及答案第章

新课标高一数学必修4练习(第1、3章)一、选择题：共18道小题，每小题3分，共54分。

1函数sin(2)(0)y x ϕϕπ=+≤≤是R 上的偶函数，则ϕ的值是（）A 0 B4π C 2πD π 2．函数5sin()2y x π=+的图象的一条对称轴方程是（）A ．2π-=x B ．2x π=C ．x π=D ．32x π=3.︒105cos 的值为（）A ．462- B ．462+ C ．226- D ．262-4.设)2,0(πα∈，若53sin =α，则)4cos(2πα+等于（） A ．57B ．51C ．57-D ．51-5. oooo54cos 66cos 36cos 24cos -的值等于 ( ) A.0 B.21C.23 D.21-6.函数2005sin(2004)2y x π=-是 ( ) A.奇函数 B.偶函数 C.非奇非偶函数 D.既是奇函数又是偶函数7.设M 和m 分别表示函数1cos 31-=x y 的最大值和最小值，则m M +等于（） A ．32 B ．32- C ．34- D ．2- 8. 已知53sin ),,2(=∈αππα，则)4tan(πα+等于（）A ．71B ．7C ．71- D ．7-9.函数)4tan()(π+=x x f 的单调增区间为（）A ．Z k k k ∈+-),2,2(ππππB Z k k k ∈+),,(πππC ．Z k k k ∈+-),4,43(ππππD ．Z k k k ∈+-),43,4(ππππ 10.将函数sin()3y x π=-的图象上所有点的横坐标伸长到原来的2倍（纵坐标不变），再将所得的图象向左平移3π个单位，得到的图象对应的僻析式是（）A 1sin2y x = B 1sin()22y x π=- C 1sin()26y x π=- D sin(2)6y x π=-11.已知A 为三角形的一个内角，且A A A A sin cos ,81cos sin --=则的值为（）A ．23-B ．23±C ．25±D ．25-12.在函数x y sin =、x y sin =、)322sin(π+=x y 、)322cos(π+=x y 中，最小正周期为π的函数的个数为（） A 1个 B 2个 C 3个 D 4个13. sin163sin 223sin 253sin313+= （） A 12-B 12C 3-D 314．函数2sin ()63y x x ππ=≤≤的值域是（）A ．[]1,1-B ．1,12⎡⎤⎢⎥⎣⎦C ．13,2⎡⎤⎢⎥⎣⎦D ．3,12⎡⎤⎢⎥⎣⎦15．为得到函数y ＝cos(x-3π)的图象，可以将函数y ＝sinx 的图象 ( ) A.向左平移3π个单位 B.向右平移3π个单位C.向左平移6π个单位D.向右平移6π个单位16.使sin cos x x ≤成立的x 的一个区间是（）A ．3,44ππ-⎡⎤⎢⎥⎣⎦B ．,22ππ-⎡⎤⎢⎥⎣⎦C ．3,44ππ-⎡⎤⎢⎥⎣⎦D ．[]0,π17．直线y a =（a 为常数）与正切曲线tan y x ω=（ω为常数且0ω>）相交的相邻两点间的距离是（）A ．B ．2πωC ．πωD ．与a 值有关18．给出下列命题：①存在实数x ，使3sin cos 2x x +=；②若,αβ是第一象限角，且αβ>，则cos cos αβ<；③函数2sin()32y x π=+是偶函数；④函数sin 2y x =的图象向左平移4π个单位，得到函数sin(2)4y x π=+的图象其中正确的个数是（）A 1个B 2个C 3个D 4个二、填空题：共12道小题，每小题3分，共36分。

政治必修四练习题

政治必修四练习题一、选择题（每题2分，共20分）1. 马克思主义政治经济学的基本原理是：A. 劳动价值论B. 剩余价值论C. 资本积累论D. 阶级斗争论2. 社会主义市场经济的基本特征包括：A. 公有制为主体B. 市场对资源配置起决定性作用C. 计划经济与市场经济相结合D. 所有以上选项3. 社会主义初级阶段的基本经济制度是：A. 公有制经济B. 非公有制经济C. 公有制为主体，多种所有制经济共同发展D. 国有经济4. 社会主义核心价值观包括：A. 富强、民主、文明、和谐B. 自由、平等、公正、法治C. 爱国、敬业、诚信、友善D. 所有以上选项5. 我国的基本政治制度包括：A. 人民代表大会制度C. 基层群众自治制度D. 所有以上选项6. 我国的根本政治制度是：A. 人民代表大会制度B. 政治协商制度C. 民族区域自治制度D. 基层群众自治制度7. 我国的基本国策包括：A. 坚持改革开放B. 坚持四项基本原则C. 坚持和平发展道路D. 所有以上选项8. 我国的根本任务是：A. 集中力量进行社会主义现代化建设B. 维护社会稳定C. 推进全面深化改革D. 促进社会公平正义9. 我国的基本经济制度是：A. 社会主义市场经济B. 计划经济C. 混合所有制经济D. 国有经济10. 我国的基本政治制度是：A. 人民代表大会制度B. 民族区域自治制度D. 所有以上选项二、填空题（每题2分，共20分）1. 社会主义核心价值观包括国家层面的______、社会层面的______和个人层面的______。

2. 我国的根本政治制度是______。

3. 我国的基本经济制度是______。

4. 社会主义初级阶段的基本路线是：领导和团结全国各族人民，以经济建设为中心，坚持四项基本原则，坚持______，自力更生，艰苦创业，为把我国建设成为富强、民主、文明、和谐的社会主义现代化国家而奋斗。

5. 我国的基本国策包括______、______、______。

菱湖中学高一必修1必修4综合练习四

菱湖中学高一必修1必修4综合练习四班级姓名_________1．下列结论不正确的是（）A 、{}00∈B 、{}o ⊆ΦC 、Z ∈-1D 、Q ∈2 D2．下列函数中，以2π为最小正周期的偶函数是( ) A ．x x y 2cos 2sin += B ．x x y 2cos 2sin =C ．)24cos(π+=x y D ．x x y 2cos 2sin 22-=D3．设函数42)(-+=x x f x ，则方程0)(=x f 一定存在根的区间是…………………（）A 、（0，1）B 、（1，2）C 、（2，3）D 、（3，4） B4、已知4sin 5α=，并且α是第二象限的角，那么tan α的值等于（） A.43- B.34- C.43 D.34A 5、函数x x x f +=2)( )31(≤≤-x 的值域是……………………………………………（）A 、[0，12]B 、]1241[，- C 、]1221[，- D 、]1243[， B6．若2log 31x =，则39xx+的值为( ) A ．6 B ．3 C ．52 D ．12A7．若奇函数()x f 在[]3,1上为增函数，且有最小值0，则它在[]1,3--上（）A.是减函数，有最小值0B.是增函数，有最小值0C.是减函数，有最大值0D.是增函数，有最大值0 D8、若sin 46x x a =+，则a 的取值范围是A. 1522α≤≤ B. 21α-≤≤-C. 1522α-≤≤-D. 5122α-≤≤-B.9．若对于任意实数错误！未找到引用源。

总有错误！未找到引用源。

，且错误！未找到引用源。

在区间错误！未找到引用源。

上是增函数，则A ．错误！未找到引用源。

B . 错误！未找到引用源。

C . 错误！未找到引用源。

D . 错误！未找到引用源。

D 10.设函数1()f x x x=-,对任意[)1,,()()0x f mx mf x ∈+∞+<恒成立，则实数m 的取值范围是（）A ．1-<m 或10<<mB ．01m <<C ．1m <-D ．10m -<<第Ⅱ卷（非选择题共72分）二、填空题：本大题4小题，每小题4分，共16分. 把正确答案填在题中横线上.11．当函数，)20(cos 3sin π<≤-=x x x y 取最大值时，=x 。

【高中政治】高中政治(人教版)必修4同步练习题：第2单元单元综合测评2

单元综合测评(二)第二单元探索世界与追求真理一、选择题1．物质是不依赖于人的意识，并能为人的意识所反映的客观实在。

这里的“客观实在”是指()A．某一具体的物质形态B．一切客观存在着的事物和现象的共同本质C．自然界中可以直接感知的事物D．世界上一切物质现象和精神现象的总称【解析】客观实在是对具体的物质形态的概括抽象，但不等于具体的物质形态，也不是世界上一切物质现象和精神现象的总称，A、C、D排除。

B是对“客观实在”的正确理解，当选。

【答案】 B2．我国地域之大、国情之复杂远超一般人的想象，经度一度之差可以把一个行政区域一分为二，纬度一分之差就可能是两种截然不同的发展方式。

我国不同地域、不同行政层级、不同规模的城市，已经或正在经历与农民争夺土地的扩张过程，之后必将步入争夺人口的城市化和城镇化，此时谋划因地制宜的发展道路尤为紧迫。

上述观点的哲学依据是()A．地理环境、人口因素和生产方式都是客观的B．农村的生产力比较落后C．人类不是从来就有的D．劳动使人结成了社会联系并形成了社会关系【解析】我国大而复杂，不同地方的地理环境、人口因素和生产方式不一样，要谋划因地制宜的发展道路。

这表明地理环境、人口因素和生产方式都是客观的，A正确。

B、C、D本身正确但不符合题意。

【答案】 A3．毛泽东同志指出：“世界就是这样一个辩证法：又动又不动。

净是不动没有，净是动也没有。

”这告诉我们()A．世界上一切事物都是绝对运动的B．世界上的事物具有相对静止性C．世界上一切事物都是绝对运动和相对静止的统一D．物质和运动是不可分的【解析】毛泽东的话强调了事物是绝对运动和相对静止的统一，C符合题意；A、B表述均片面；D强调物质和运动的关系，不符合题意。

【答案】 C4．关于运动有几种看法，甲说：“太阳每天都是新的。

”乙说：“方生方死，方死方生。

”丙说：“飞鸟之景未尝动也。

”这些观点按照顺序分别是() A．辩证法、相对主义、形而上学B．二元论、形而上学、辩证法C．辩证法、相对主义、二元论D．辩证法、形而上学、相对主义【解析】“太阳每天都是新的”体现了运动与静止的辩证统一关系，属于辩证法的观点。

高三政治_《生活与哲学》综合练习_新人教版必修4

高三政治《生活与哲学》综合练习1．庄子曰：“精神出于道，形本生于精。

”与这一观点所蕴含的哲理相一致的是A．精神不是万能的 B．古今异俗，新故异备 C．理在事先，理生万物 D．月圆则亏．水满则溢2．观点一：美学中的“移情”说法——人们高兴的时候，就仿佛觉得太阳在笑，青松在招手，花儿在点头；悲伤的时候，又觉得雨如泪，风如烟。

观点二：“你未看此花，此花与汝同归于寂；你来看此花时，则此花颜色一时是明白起来，便知此花不在你的心外。

”这两种观点①同属唯心主义观点②都回答了思维和存在何为世界本原③同属唯物主义观点④都无法回避思维和存在的关系问题A．①②B．③④C．②④D．①③3．“风来疏竹，风过而竹不留声；雁渡寒潭，雁去而潭不留影。

故君子事来而心始现，事去而心随空。

”《菜根谭》中的这句名言从一个侧面表明：A．主观可以决定一切 B．意识是客观存在的主观映象C．意识能够正确反映客观事物 D．运动是物质的存在方式4.2010年11月1日，是我国第六次人口普查标准时间。

组织开展第六次全国人口普查，查清十年来我国人口的变化情况，为科学制定国民经济和社会发展规划提供准确的统计信息，促进国民经济又好又快发展。

这体现了A.实践是认识的来源B.实践是认识的目的和归宿C.实践是认识发展的动力D.实践是检验认识真理性的唯一标准5．沪杭高铁加快实现客货分线运输，有效缓解运输紧张状况，促进长三角经济社会发展，助推东部地区率先实现现代化，改变我国区域经济、政治、文化和社会发展格局。

这说明A．物质世界的相互联系构成了事物的变化和发展 B．人为事物联系是对自在事物联系的能动反映C．自在事物的联系是独立于人的意识而客观存在 D．既要看到运动的绝对性，又要看到静止相对性6．胡锦涛在中央新疆工作座谈会上指出，建设新疆归根到底要靠发挥各族干部群众的积极性、主动性和创造性。

只有把民生问题解决好，才能更好地凝聚民心、民智、民力，为新疆经济社会发展提供持久动力。

英语必修4Module3 综合练习题

必修四Module 3Ⅱ.完形填空When I was fifteen years old, I made my first visit to the United States. It wasn't the first time I had been__16__. Like most English children I learned__17__at school .I had often been to France, soI__18__speaking a foreign language to people who didn't understand English. __19__when I went to AmericaI was really looking forward to__20__a nice easy holiday without any__21__problems.__22__wrong I was! The misunderstanding began at the airport. I was looking for a__23__telephone to give my American friend Danny a__24__and tell her I had arrived. A friendly old man saw me looking lost and asked__25__he could help me. “Yes”，I said, “I want to give my friend a ring.”“Well, that's__26__，”he exclaimed. “Are you getting__27__？ But aren't you a bit__28__？” “Who is talking about marriage？”I replied. “I__29__want to give my friend a ring to tell her I've arried. Can you tell me__30__there's a phone box？“Oh！”he said, “There's a phone downstaris.”When at last we__31__meet each other, Danny explained the misunderstanding to me. “Don't worry，”she said to me. “I had so many__32__at first. There are lots of words which Amercians__33__differently in meaning from us British. You'll soon get used to all the__34__thing they say. Most of the__35__British and American people understand each other！”16．A.out B．away C．outside D．abroad 17．A.Chinese B．Japanese C．French D．Italian18．A.get used to B．was used to C．used to D．was able to19．A.Once B．But C．So D．Then 20．A.having B．buying C．giving D．receiving 21．A.time B．human C．language D．money 22．A.Too B．Quite C．What D．How23．A.cheap B．popular C．public D．good 24．A.letter B．ring C．news D．information25．A.if B．that C．where D．when 26．A.well B．over C．nice D．ring27．A.changed B．expected C．palnned D．married 28．A.small B．little C．old D．young29．A.ever B．just C．never D．always 30．A.where B．how C．why D．what31．A.did B．do C．could D．had 32．A.wishes B．difficulties C．things D．ideas33．A.write B．speak C．use D．read 34．A.terrible B．necessary C．useful D．funny35．A.chance B．situation C．condition D．timeⅠ.单项填空1．Instead of________， Hawing went on with his research, got his PhD and married the girl.A．giving in B．giving out C．giving away D．giving up2．My father made me a promise________I got a good mark he would buy me a present.A．that B．which C．that if D．if3．________the farmers were pleased the good harvest of this year.A．A great deal of B．A great many C．A great many of D．A large amount of4．This vase wasn't________properly before it was put away.A．wiped up B．wiped over C．wiped off D．wiped out5．We'll have to find a job, ________.A．long it takes however B．it takes however long C．long however it takes D．however long it takes 6．The victim was still________what had happened when the doctor arrived but he lost________soon after that. A．unconscious for; consciousness B．conscious of; consciousnessC．conscious of; conscious D．conscious for; unconscious7．—What would you do if it________tomorrow? —We have to carry it on, since we've got everything ready.A．rain B．rains C．will rain D．is raining8．At the________of audience, the famous singer sang another one.A．suggestion B．request C．requirement D．demand9．________to be the best among the competitions, he was given $ 20,000 as a reward.A．Judging B．Judged C．Judgement D．To be judged10．Although we live in the same city, we haven't________with each other for a long time.A．assisted B．compared C．communicated D．contacted11．Don't________the dictionary________you meet with a new word while reading.A．refer; every time B．look up; each time C．look at; whenever D．refer to; every time12．Will you________me________favour to carry the box upstairs, boy?A．give; the B．do; the C．offer; a D．do; a13．By the end of next month, we________what we are required to learn.A．have learned B．learned C．had learned D．will have learned14．—Would you like some bread?—Oh, no, thanks. I had a big breakfast this morning, so I am________hungry.A．not a bit B．much too C．not least D．not a little15．—Do remember me to your wife. —________.A．Yes, I do B．No, I won't C．Yes, I will D．No, I don'tⅢ.阅读理解 AThe human nose has given to the language of the world many interesting expressions. Of course this is not surprising. Without the nose we could not breathe or smell. It is the part of the face that gives a person special character. Cyrano De Bergerac said that a large nose showed a great man—brave, polite, manly, and bright. A famous woman poet wished that she had two noses to smell a rose. Blaise Pascal, a French philosopher(哲学家)made an interesting comment about Cleopatra's nose. “If it had been shorter，”he said，“it would have changed the whole face of the world.”Historically, man's nose has had an important role in his imagination. Man has referred to the nose in many ways to express his feelings. Expressions about the nose refer to human weakness, anger, pride, jealousy(嫉妒)and revenge(报复). In English there are a number of phrases about the nose. For example, “To_hold_up_one's_nose”expresses a basic human feeling—pride. People can hold up their noses at people, things and places. The phrases, to be led around by the nose, shows man's weakness. A person who is led around by the nose lets other people control him. On the other hand, a person who follows his nose, lets his instinct guide him.For the human emotion of rejection, the phrase to_have_one's_nose_put_out_of_joint is very descriptive. The expression applies to persons who have been turned aside because of a competitor. Their pride is hurt and they feel rejected. This expression is not new. It was used by Erasmus in 1542.This is only a sampling of expressions in English dealing with the nose. There are a number of others. However, it should be as plain as the nose on your face that the nose is more than an organ for breathing and smelling!36．This passage is about________.A．the human nose, an organ for breathing and smelling B．the nose giving various expressions C．a woman poet's wish was to have two noses D．interesting comments made on Cleopatra's nose 37．According to Blaise Pascal, “Cleopatra's nose”________．A．did change the whole face of the world B．should be shorterC．represents her powerful character D．had been cut shorter38．“To hold up one's nose”is an expression of________.A．contempt B．revenge C．anger D．jealousy39．A ma n who is described as“to have one's nose put out of joint”________．A．is happy B．wants to sell a flower C．is ill D．feels hurt and rejectedBTears are nature's way making us feel comfortable. When our eyes are made uncomfortable by some small pieces of pollution, or when we are cutting onions, or when we are exhausted and“redeyes”from overwork and late hours, tears from in our eyes to clean and refresh them.Tears are also a sign of strong emotion. We cry when we are sad and we cry when we are happy.And tears seem to be uniqueness(唯一)of human. We know that animals also experience emotion—fear, pleasure, loneliness—but they do not shed(流)tears. From this we can conclude that tears are closely related to the emotional and biological makeup of the human species.Biologically speaking, tears are actually drops of saline fluid, which is a little bit salty, produced by a gland(腺)in the body. Because salt is an important component, tears may actually constitute the most conclusive evidence that the human animals are the end product of a long evolutionary(进化的)process that began in the sea.And it is clear that, in addition to(除了)the emotional benefits, the shedding of tears has a specific biological function as well. Through tears, we can eliminate from our body certain chemicals which build up in response to stress and cerate a chemical imbalance in the body. Crying actually makes us feel better by correcting that imbalance and making us feel good again. And thus the emotional and the biological functions of tears merge(合并)into one and make us even more“human”than we would otherwise be.40．According to the passage, human beings may have originated in________.A．the sea B．the salt C．chemicals D．animals41．Which of the following is NOT a function of tears?A．Biological. B．Emotional. C．Political. D．Chemical.42．According to the article, which of the following is unique to humans?A．The feeling of loneliness. B．The state of feeling good.C．The ability to shed tears. D．The feeling of fear.43．The word“aliminate”probably means________.A．add B．produce C．replace D．removeCIn early October, thousands of people around the globe stepped outside to gaze at their local night sky. As part of an event called the Great World Wide Star Count, adults and kids of looked for one of two constellations(星群)—Cygnus in the Northern Hemisphere and Sagittarius in the Southern Hemisphere. The observers recorded how many stars they saw and how bright the stars were, and then posted their results online.The Star Count was part of global effort to help scientists learn more about how light pollution affects our view of the night sky. Whether participants saw thousands of stars—or just a dozen—depended a lot on whether they were surrounded by darkness or by twinkling city lights.Dark spots on the map, above, show the locations of people who partcipated in the first annual Great Worldwide Star Count. Over 2 weeks, people in 64 countries made 6,624 observations.On a clear night, with no clouds, moonlight, or artificial lights to block the view, people can see more than 14,000 stars in the sky, but when people are surrounded by city lights they're lucky to see 150 stars.If you've ever driven toward a big city at night and seen its glow from afar, you're witnessed light pollution. It occurs when light from streetlights, office buildings, signs, and other sources streams into space and illuminates the night sky. This light makes many stars invisiable to people on Earth.Dust and particles of pollution from factories and industries worsen the effects of light pollution. When these particles float into the atmosphere, light ricochets(跳飞)off of them and scatters even more.Light pollution doesn't fly affect star visibility. It can harm wildlife too. Scientists don't entirely understand how animals navigate at night, but it's clear that artificial light can attract them, making them go off course. There's increasing evidence, for example, that migrating birds use sunsets and sunrises to help find their way.44．Why did do many people look at the local sky?A．To enjoy the beauty of the stars. B．To develop their interest in Astronomy.C．To help scientists do a research on light pollution. D．To get the exact number of star in the sky. 45．When people are surrounded by artificial lights, ________.A．they can find more stars in the sky B．the stars might appear more clearlyC．the stars seem to be bigger D．they can find far fewer stars46．What does the word“illuminates”probably means in this passage?A．make...bright B．make...invisible C．make...beautiful D．make...clear47．How does light pollution affect birds?A．It does great harm to their eyes at night. B．It mistakes them the way when they migrate.C．It can enable them to see their routes clearly. D．It can make them find their way easily. 48．According to the maps above, which continent has fewest participants in the Star Count?A．North America. B．Australia. C．South America. D．Africa.DDr Wiseman started“the laugh lab”project in September 2001. It is the largest study of humour. Participants(参加者)are invited to log onto the laugh lab website, give a few personal details, tell their favourite jokes and judge the jokes told by other people.The project will last for a year, and the organizers hope to finally discover the world's funniest joke. But there is aslo a serious purpose. The researchers wnat to know what people from different nations and cultures find funny. And they want to find out the differences between the male and female sense of humour. The idea is that if we want to understand each other, we have to find out what makes us laugh.This is a subject that has long interested psychologists(心理学家)and philosophers(哲学家). Most of the time, people are not completely honest. We do things that society expects us to and say things that help us get what we want. But laughing cannot be controlled. When we laugh, we tell the truth about ourselves.By December 2001 over 10,000 jokes had been submitted. This gave the scientists enough evidence(证据)to make early conclusions. It seems that men and women do have different senses of humor, for instance.“Our findings show the major differences in the ways in which males and females use humour，”said Dr Wiseman. “Males use humour to appear superior(优越)to others, while women are more skilled in languages and prefer word play.”Researchers also found that there really is such a thing as a national sense of humour. The British enjoy what is usually called“toilet humor”. But the French like their jokes short and sharp：“You're a high priced lawyer. Will you answer to questions for $ 500？”“Yes. What's the second question？”The Germans are famous for not having a sense of humor. But the survey found that German participants were more likely to find submitted jokes funny than any other antionality. Perhaps that provdes the point.Is this joke funny? I don't know, but let's say yes, just to be safe.Dr Wiseman and his workmates also submitted jokes created by computer. But none of those who took part in the survey found any of them amusing. Perhaps this is relief. Computers already seem like they can do everything. At least they should leave the funny stuff to us.49．Scientists started“the laugh lab” project________.A．to find the funniest joke in European countries.B．to know what funny people are from different nations and culturesC．to find out the differents between the male and female sense of homorD．to get more personal details about participants50．We can infer from the passage that________.A．most of the people all over the world are completely honestB．psychologists and philosophers take interest in“the laugh lab”projectC．ordinary people are not interested in“the laugh lab”project at allD．people tell the truth about themselves only when they laugh51．What is the main idea of the 4th and 5th paragraph?A．Man and woman have different senses of humour.B．Male and female have similar senses of humour.C．About 10,000 jokes have been submitted from September 2001 to December 2001.D．Scientists have collected enough evidence to make conclusions.52．The writer gave the examples of the British, the French and the Germans________.A．to show the French people have a better sense of humourB．to prove the British people have a sense of“toilet humour”C．to show people from different nations have different senses of humourD．to prove that the Germans have no sense of humourEWhen several different people look at the same person, it is not unusual for each of them to see different things：when you alone observe one behaviour or one person at two different times, you may see different things. The following are some of the factors that lead to these varying perceptions(感知)．Each person's perceptions of others are formed by his or her own cultural conditioning, education, and personal experience.1. Sometimes perceptions differ because of what we choose to observe and how we deal with what we've observed. It is not necessarily true that a person's perceptions is based on observations of a particular person. You observations may be totally controlled by what others have told you about this person; or you may focus primarily on the situation or role relationship. Most people do not use the same yardstick(标准)to measure their parents, their friends and strangers.2．Sometimes we see only what we want to see that may be observe(对应面)to others because of our own needs, desires, or temporary(临时的)emotional states. This is a process known as selective perception. Selective perception is obviously more diffcult when contradictory(矛盾的)information is particularly obvious, but it can be done. We can ignore the stimulus——“He's basically a good boy, so what I saw was not shoplifting.”We can reduce the importance of the contradictory information—“All kids get into mischief. Taking a book from the bookstore isn't such a big deal.”We can change t he meaning of the contradictory information—“It wasn't shoplifting because he was going to pay for it later.”53．Observations of the same person by two people at the same time may differ because________.A．their yeardsticks are not the sameB．either of them may be slow to catch informationC．the time for observation is not long enoughD．each of them uses different languages to express his or her impressions54．The underlined word“ignore”in paragraph 4 means to________.A．understand somethingB．try to do somethingC．pay no attention to somethingD．know something better55．The worst thing in selective perception is that________.A．perceived information runs against your desireB．facts can be totally ignored and distorted(扭曲)C．importance of contradictory information can be overrated(估计过高)D．the same information may not be dealt with in the same way必修四Module 3答案1：D given in“投降”；give out“分配；用完”；give away“送给；泄露”；give up“放弃”2：C promise后面的句子是promise的同位语从句，同位语从句中含有条件状语从句。

2020届《导与练》高考英语人教版一轮复习练习：综合测试(必修4)含解析

综合测试(必修4)(时间:120分钟满分:150分)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,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。

(Text 1)W:My goodness!①It’s a quarter to seven now and I’m sure to miss my seven o’clock train. M:Take it easy.①That clock is ten minutes fast.1.What time is it now?( C )A.7:00.B.6:45.C.6:35.(Text 2)M:How about going out for a picnic this weekend?W:Good idea.But ②I won’t be back until next Tuesday.2.What does the woman mean?( A )A.She can’t go for the picnic.B.She has no interest in the picnic.C.She will go for the picnic as soon as she comes back.(Text 3)W:Have you moved into your new house?M:Not yet.We are painting it at present.③In another month or so,we’ll move into the new house,though we still have a lot of work to do in and around it.3.When will the man move into his new house?( C )A.This month.B.In two months.C.Next month.(Text 4)M:Can I help you with your luggage,Susan?W:No thanks,Tom.④My husband John will be here in five minutes.4.Who will help the woman with the luggage?( B )A.Susan.B.John.C.Tom.(Text 5)M:Oh,darling,I am so tired.⑤Shall we go back?W:But we’ll have to buy some cartoons for our boys.M:I would rather do it tomorrow.W:⑤OK if you insist.5.What will they probably do next?( B )A.Go to the market.B.Go back home.C.Go to the bookstore.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。

高中英语牛津译林版必修四 Unit1 Advertising 综合练习(含答案)

Module 4 Unit 1 综合练习一、根据句子意思选择方框内合适的词组，并用其正确形式填空。

1. The software protect computers from being attacked by viruses.2. It took them a long time how to start the equipment.3. John has a way to his opinion while using as few words as possible.4. Popular music especially teenagers.5. He is too smart to that trick.6. There are many difficulties7. Allow children the space to voice their opinions they are different from your own.8. John is a naughty student. He likes to his classmates.9. The animals starvation in the snow.10. Sore throat and foods like onions and garlic may cause .二、根据句意, 选用方框内所给动词的适当形式填空。

(注意时态、语态、非谓语动词)1. Really sorry for the trouble —I didn ’t to bother you.2. I wonder how they are going to to my suggestion.3. These measures are at preventing violent crime.4. Many thousands have from the new treatment.5. He was caught on the test.6. At the street corner there is a big poster (海报)a new mobile phone.7. Aspirin will you of your headache.8. The young man the old woman into believing he was a rich man.9. I don ’t have enough money a new car.10. I was not at all __________ at the news that the corrupt principle had been arrested.三、用括号中所给单词的适当形式填空。

必修4课后习题及答案

必修4课后习题及答案【习题一】题目：请根据所学知识，简述牛顿第二定律的基本原理及其在日常生活中的应用。

要求：答案应包括牛顿第二定律的数学表达式，以及至少两个实际应用的例子。

答案：牛顿第二定律的基本原理是描述力和加速度之间的关系，其数学表达式为：\[ F = ma \]，其中$ F $代表作用在物体上的合力，$ m $是物体的质量，$ a $是物体的加速度。

这个定律表明，作用在物体上的合力等于物体质量与加速度的乘积，即力是改变物体运动状态的原因。

在日常生活中，牛顿第二定律的应用非常广泛。

例如：1. 汽车制动时，车辆受到的制动力越大，车辆的减速度就越大，从而能够更快地减速或停止。

2. 运动员投掷铅球时，施加在铅球上的力越大，铅球获得的加速度就越大，从而能够投掷得更远。

【习题二】题目：解释什么是化学反应的平衡状态，并给出一个化学反应达到平衡状态的例子。

要求：答案应包括平衡状态的定义，以及至少一个具体反应的例子。

答案：化学反应的平衡状态是指在一个封闭系统中，正反应和逆反应进行得同样快，反应物和生成物的浓度保持不变的状态。

在平衡状态下，虽然正逆反应仍在进行，但宏观上看不到任何变化。

例如，氮气和氢气合成氨的哈伯过程：\[ N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g) \]在这个反应中，当氮气和氢气以一定的比例混合并在一定条件下反应时，会生成氨。

当反应达到平衡时，氮气、氢气和氨的浓度不再发生变化，反应速率相等，此时系统就达到了化学平衡状态。

【习题三】题目：请根据所学知识，解释电磁波的产生原理，并列举三种常见的电磁波。

要求：答案应包括电磁波产生的原理，以及三种电磁波的名称和应用。

答案：电磁波是由变化的电场和磁场相互作用产生的波动现象。

当电荷加速运动时，会在周围空间产生变化的电场，这个变化的电场又会产生变化的磁场，反之亦然。

这种电场和磁场交替变化并向外传播的过程，就形成了电磁波。

高中数学必修四练习册(后含答案)

C．{α|α＝k·180°，k∈Z}
D．{α|α＝k·180°＋90°，k∈Z}
6．射线 OA 绕端点 O 逆时针旋转 120°到达 OB 位置，由
OB 位置顺时针旋转 270°到达 OC 位置，则∠AOC＝
()
A．150°
B．－150°
C．390°
D．－390°
7．若集合 M＝{α|α＝±30°＋k·180°，k∈Z}，N＝{α|α＝(－
D.α|α＝2kπ＋53π，k∈Z
3．已知集合 A＝{α|2kπ≤α≤(2k＋1)π，k∈Z}，B＝{α|－
4≤α≤4}，则 A∩B＝( )
A．
B．{α|0≤α≤π|
C．{α|－4≤α≤4|
D．{α|－4≤α≤－π 或 0≤α≤π}
4．一条弦的长等于半径，则这条弦所对的圆心角是____
弧度 ( )
1.1.1 任意角
一、选择题
1．下列各命题正确的是( )
A．终边相同的角一定相等
B．第一象限角都是锐角
C．锐角都是第一象限角
D．小于 90°的角都是锐角
2．若 α 是第一象限角，则下列各角中属于第四象限角的
是( )
A．90°－α
B．90°＋α
C．360°－α
D．180°＋α
3．在“①160°，②480°，③－960°，④－1600°”这四个角
A．sinα＋cosα<0
B．tanα－sinα<0
π
π
π
A.π
B.2
C.3
D.4
5．如图中，圆的半径为 5，圆内阴影部分的面积是( )
175π A. 36
125π B. 18
75π C. 18

人教A版新课标高中数学必修4第一章《三角函数》综合练习题(含答案)

第一章《三角函数》综合练习一、选择题1.已知角α的终边经过点0p （-3，-4），则)2cos(απ+的值为（）A.54-B.53C.54D.53-2.半径为πcm ，圆心角为120︒所对的弧长为（）A .3πcmB .23πcmC .23πcm D .223πcm 3.函数12sin[()]34y x π=+的周期、振幅、初相分别是（）A .3π，2-，4πB .3π，2，12πC .6π，2，12πD .6π，2，4π4.sin y x =的图象上各点纵坐标不变，横坐标变为原来的12，然后把图象沿x 轴向右平移3π个单位，则表达式为（） A .1sin()26y x π=-B .2sin(2)3y x π=-C .sin(2)3y x π=-D .1sin()23y x π=-5．已知函数f (x )＝sin ⎝⎛⎭⎪⎫ωx ＋π3(ω＞0)的最小正周期为π，则该函数图像( )A ．关于直线x ＝π4对称B ．关于点(π3，0)对称C ．关于点(π4，0)对称D ．关于直线x ＝π3对称6.如图，曲线对应的函数是（） A ．y=|sin x | B ．y=sin|x |C ．y=－sin|x |D ．y=－|sin x |7．函数y=cos 2x –3cosx+2的最小值是（）A ．2B ．0C ．41 D ．68．函数y ＝3sin ⎝⎛⎭⎪⎫－2x －π6(x ∈[0，π])的单调递增区间是( )A.⎣⎢⎡⎦⎥⎤0，5π12B.⎣⎢⎡⎦⎥⎤π6，2π3C.⎣⎢⎡⎦⎥⎤π6，11π12D.⎣⎢⎡⎦⎥⎤2π3，11π12 9.已知函数sin()y A x B ωϕ=++的一部分图象如右图所示，如果0,0,||2A πωϕ>><，则（）A.4=AB.1ω=C.6πϕ= D.4=B10.已知1cos()63πα+=-，则sin()3πα-的值为（）A .13B .13-C .233D .233-11.已知α、β是第二象限的角，且βαcos cos >，则（）A.βα<;B.βαsin sin >；C.βαtan tan >；D.以上都不对12.设()f x 是定义域为R ，最小正周期为32π的函数，若cos ,(0)(),2sin ,(0)x x f x x x ππ⎧-≤<⎪=⎨⎪≤<⎩ 则15()4f π-等于( )A. 1B.22C. 0D.22-二、填空题13．函数x x f cos 21)(-=的定义域是______________ 14．若sin α＋cos αsin α－cos α＝2，则sin αcos α的值是_____________.15、函数])32,6[)(6cos(πππ∈+=x x y 的值域是． 16．函数f (x )=sin x +2|sin x |,x ∈[0,2π]的图象与直线y =k 有且仅有两个不同的交点,则k 的取值范围是__________.三、解答题17.已知α是第二象限角，sin()tan()()sin()cos(2)tan()f πααπαπαπαα---=+--．（1）化简()f α；（2）若31sin()23πα-=-，求()f α的值．18.已知tan 3α=，求下列各式的值：（1）4sin cos 3sin 5cos αααα-+ ；（2）212sin cos cos ααα+．19．（1）画出函数y ＝sin ⎪⎭⎫ ⎝⎛6π － 2x 在一个周期的函数图像；（2）求出函数的对称中心和对称轴方程．20．已知y ＝a －b cos3x (b >0)的最大值为32，最小值为－12.(1)判断其奇偶性．(2)求函数y ＝－4a sin(3bx )的周期、最大值，并求取得最大值时的x ；21．已知函数45)62sin(21++=πx y (1)求函数的单调递增区间； (2)写出y=sinx 图象如何变换到15sin(2)264y x π=++的图象第一章《三角函数》综合练习答案一、选择题1-5 CDCBB 6-10 CBBCA 11-12 BB 二、填空题13、5[2,2],33k k k Z ππππ++∈14、31015、1[]216、13k << 17. 解析：（1）sin (tan )1()sin cos (tan )cos f ααααααα-==---；（2）若31sin()23πα-=-，则有1cos 3α=-，所以()f α=3。

生活与哲学综合练习

《生活与哲学》综合集训（三）（新人教必修4）一、单项选择题1、中国古代有许多充满哲学智慧的寓言故事,如“白马非马”、“田忌赛马”、“郑人买履”、“刻舟求剑”、“守株待兔”等。

这些寓言故事说明哲学 ( )A.产生于寓言故事B.哲学是科学的世界观与方法论的统一C.源于古典文献的流传D.源于对实践的追问和对世界的思考2、马克思说：“没有哲学我就不能前进。

”对这句话可以这样理解( )①哲学是一门给人智慧、使人聪明的学问②哲学的任务就是指导人们正确地认识世界和改造世界③没有哲学的指导，人们就会寸步难行，一事无成④哲学是指导人们生活得更好的艺术A．①②③ B．②③④ C．①③④ D．①②④3、“环境问题与其说是一个具体的科学问题，不如说是一个哲学问题，它反映了人类对生活的思考。

”这说明（）A．哲学和环境科学没有本质的区别 B．哲学是关于世界观的学说C．哲学是对人与社会关系的总的看法 D．哲学是理论化的思想体系4、我国古代“文彦博数豆”的故事，说的是他小时候准备了两个罐子，做了错事就放黑豆在罐中，做了好事就放红豆，每天检查红豆和黑豆的数目，日积月累，黑豆越来越少，红豆越来越多。

长大后，文彦博成了宋朝的一代名相。

这则故事给我们的哲学启示是A要重视量的积累 B要支持新事物的成长C发展是前进性和曲折性的统一 D要自觉改造客观世界5、“公说公有理，婆说婆有理”违背．．的哲理（）A.人们对事物的认识是多方面的B.实践是认识的来源C.实践是检验认识正确与否的唯一标准D.直接经验和间接经验的关系6、著名画家范曾先生在《自述》中谈到自己的成功时说：“在艰苦颠蹶之中，我没有沉沦，我追逐着光明和希望。

”由此可见，一个人要想取得成功，必须（）A．坚持具体问题具体分析 B．既要看到前途的光明，又要勇于克服困难C．果断抓住时机，促成质变 D．努力创造条件，促使主次矛盾的转化7、联合国环境规划署提出个人“低碳生活”的倡导，“低碳一族”正以自己生活的改变证明：气候变化已经不仅是环保主义者、政府官员和专家学者关心的问题，而且与地球人息息相关。

2017-2018学年高中英语必修4练习：单元综合测评-Unit 1 Women of achievement 含答案精品

单元综合测评(一)Ⅰ.阅读理解(共15小题；每小题2分，满分30分)AWorldfamous violinist Itzhak Perlman was stricken with polio as a child.As a result，he wears braces on both legs and walks with the aid of crutches.At_concerts，getting_on_stage_is_no_small_achievement_for_him.He slowly crosses the stage until he reaches his chair.He lays his crutches on the floor，slowly undoes the clasps (扣环)on his legs，puts one foot backward and extends the other one forward.Then he bends down and picks up the violin，puts it under his chin(下巴)，nods to the conductor，and starts to play.One fall evening in 1995，while performing at Avery Fisher Hall at Lincoln Center in New York City，Perlman had to deal with one additional trouble.Jack Reimer，a famous reporter with the Houston Chronicle，described the scen e.“Just as he finished the first few bars，one of the strings on his violin broke.You could hear the sound go off like gunfire across the room.There was no mistaking what that sound meant.”There was no mistaking what he had to do.People who were there said，“We figured he would have to get up...to either find another violin or find another string for this one.”But he didn't.Instead he waited a moment，closed his eyes，and then signaled the conductor to begin again.The band and he played from where he had left off.He played with enthusiasm and power.Of course，it is important to play a symphonic work with just three strings.But that night Itzhak Perlman refused to know that.You could see him modulate (调音)，change，recompose the piece in his head.At one point，it sounded like he was turning the strings to get new sounds they had never made before.【语篇解读】本篇是人物故事，叙述了著名残疾人演奏家Perlman演出过程中发生的意外和他的应对措施。

高中英语必修4牛津英语必修四综合复习练习

牛津英语必修四综合复习练习I. 单项选择1. It may be fairly cheap to buy , but you’ve got to _______ the money you’ll spend on repairs.A. take charge ofB. take into considerationC. make notes ofD. complain about2. We had a lot of fun at her birthday party . You _____ have come , but why didn’t you ?A. mustB. shouldn’tC. needn’tD. ought to3. Entering the reading-room , I found Kate _____ at the table and ______a report .A. seated; wroteB. seated ; writingC. seating ; writingD. seated ; written4. The detective and the master will spend the afternoon _______ in the meeting room , ___ the whole matter .A. locking ; discussingB. locked ; discussedC. locked ; discussingD. locking ; discussed5. All the universities have duty to ______ their students _______ of the quick development of the scientific world .A. make ; knownB. have ; understoodC. keep; informedD. find ; involved6. Excuse me for breaking in , ______ I have some news for you .A. orB. andC. butD. yet7. Right now Alex is in the hospital . He ______ for a bad burn on his hand and arm .A. is treatingB. is being treatedC. has treatedD. has been treated8. --- You’ve made great progress in your studies of English , haven’t you ? --- Yes, but much ____.A. remains to doB. is remaining to doC. remains to be doneD. is remained to be done9. --- The opening ceremony has already started .--- Look ! The flag is ____ now .A. risenB. being raisedC. being roseD. raising10. ---I’m sorry , I shouldn’t have been so rude to you .--- You _______ your temper but that’s OK.A. have lostB. had lostC. did loseD. were losing11.We took _______ the car during the whole journey .A. turns to driveB. turn to drivingC. by turns to drivingD. turn at driving12. Sarah , hurry up . I’m afraid you won’t have time to _____ before the party .A. get changedB. get changeC. get changingD. get to change13. He ____ have completed his work ; otherwise , he wouldn’t be enjoying himself by the seaside .A. should B . must C. wouldn’t D. can’t14.Mr. Smith , ______ of the ______ speech , started to read a novel .A. tired ; boringB. tiring ; boredC. tired ; boredD. tiring ; boring15. He tried to pretend that he wasn’t worried , but his shaking hands _____ him ___ .A. gave ; awayB. gave ; outC. gave ; upD. gave ; off16. Be careful when you cross this very busy street . If not , you may _____run over by a car .A. haveB. getC. becomeD. turn17. It wasn’t long _______ the broken windows were repaired .A. beforeB. afterC. whenD. since18.These examples , once _____ to his article , will make it sound more reasonable and acceptable .A. addB. to addC. addingD. added19. --- Is it dangerous ?--- Yes , but I have to ____ the risk because that’s the only chance I can find the spy .A. makeB. takeC. holdD. catch20. The simple style of the building and the fact ______ they are German set them aside as very different from Chinese architecture .A. howB. whyC. whichD. that21. Do you know what use people ______ pines after they’re cut down ?A. make ofB. make intoC. make up ofD. make from22. She turned up at the court , ______ as a lawyer .A. dressingB. dressedC. being dressingD. dressed herself23. Don’t you think it’s time you _____ a choice?A. didB. tookC. madeD. kept24. Who ______ to meet us but the manager !A. is comingB. will comeC. should comeD. has come25. --- $ 500, but that is my last offer .--- OK, it is a ______.A. costB. priceC. reward D . deal26. --- Would you please do me a favor?--- I’m sorry , ______ I’m busy typing papers .A. orB. soC. butD. now27. _______ more about university courses , call (920) 746-3789.A. To find outB. Finding outC. Find outD. Having found out28. If you take away five of the apples , another five will _______.A. remainedB. remainsC. be remainedD. remain29. If you go on stealing , you’ll ______ in the prison .A. endB. end up withC. end withD. end up30. Several houses were destroyed to _______ a building .A. make away withB. make way forC. make forD. make outII. 完形填空Learning is natural. It begins the __1__ we are born. Our first teachers are our families. At home we learn to talk and to __2__ and feed ourselves. We learn all these and other skills by __3__.Then we go to school. A teacher tells us __4__ to learn and how. Many teachers teach us, and we pass many exams. Then people say we are __5__.Are we really educated? Let's think about the real meaning of __6__. Knowing facts does not __7__ being able to solve problems. Solving problems __8__ creativity, let alone a good memory. Some people who don't know many __9__ are good at solving problems.Henry Ford is a good __10__. He left school at 15 years of age. Later, when his company could not build cars fast enough, he solved the problem He __11__ of the assembly line (装配线). Today the answer seems __12__. Yet think of that many university graduates who never solved that problemWhat does a good teacher do? Does he give students facts to __13__? Well,yes, we must sometimes remember facts. But a good teacher __14__ how to find answers. He brings us to the __15__ of the knowledge so we can think for ourselves. When we are __16__, we know where to go.True learning combines intake with output. We take information __17__ our brains. Then we use it. Think of a __18__, it only __19__ commands. A person who only remembers facts hasn’t really learned. Learning takes __20__ only when a person can use what he knows.1. A. week B. minute C. hour D. day2. A. wear B. put on C. have on D. dress3. A. asking B. listening C. following D. drilling4. A. what B. when C. that D. who5. A. controlled B. educated C. suffered D. passed6. A. taking B. growing C. answering D. learning7. A suggest B. say C. mean D. show8. A. requires B. has C. brings D. gets9. A. people B. facts C. techniques D. ways10. A. learner B. teacher C. example D. driver11. A managed B. heard C. talked D. thought12. A. ordinary B. common C. simple D. special13. A. grasp B. understand C. master D. remember14. A. knows B. shows C. gives D. encourages15. A. plenty B. pile C. stream D. much16. A. thirsty B. hungry C. cold D. sleepy17. A. of B. for C. about D. into18. A. radio B. computer C. recorder D. machine19. A. obeys B. changes C. sends D. writes20. A. measures B. place C. notes D. timeIII．阅读理解ASmart job-seekers needs to rid themselves of several standard myths about interviewing before they start looking for a job. What follows is a list of some of these untruths and some tips to help you do your best at your next interview.Myth 1: The aim of interviewing is to obtain (means "get") a job offer Only haft true. The real aim of an interview is to obtain the job you want. That often means rejecting job offers you don't want! So before you do please an employer, be sure you want the job.Myth 2: Always please the interviewerNot true. Try to please yourself. Of course, don't be hostile (敌对的) —nobody wants to hire someone disagreeable. But there is plainly a middle ground between being too ingratiating (逢迎) and being hostile.Myth 3: Try to control the interviewNobody "controls" an interview. When someone tries to control us, we resent (怨恨) it. When we try to control others, they resent us. Remember you can't control what an employer thinks of you, just as he can't control what you think of him. So be ready to give and take when being interviewed; never control the interview.Myth 4: Never interrupt the interviewerStudy the style of an effective conversationalists: they interrupt and are interrupted! An exciting conversation always makes us feel free — free to interrupt, to disagree, to agree enthusiastically (热情地). Just hang loose. Try being yourself for a change. Employers will either like or dislike you,but at least you'll have made an impression, Leaving an employer indifferent (无关紧要) is the worst impression you can make.1. To be your natural self in a job interview will ________.A. make your interviewer angryB. please your interviewerC. leave an impression on the interviewerD. leave the interviewer indifferent to you2. For job seekers, efforts to control the interview are likely to _________.A. affect the interviewer's opinion of themB. lead to the offer of a jobC. enable them to express themselves fullyD. help to create a favourable image of themselves3. The most important thing to keep in mind when being interviewed for a job is to _________.A. try to obtain the jobB. reject the job firstC. qualify yourself for the jobD. see if it is a job you want4. The fight attitude to a job interviewer is to be __________.A. obedientB. hostileC. pleasingD. agreeable5. "Hang loose" in last paragraph means to ________.A. stay calm and relaxedB. become weak and passiveC. take chargeD. sit back comfortably6. These tips are meant for ___________.A. women interviewers and women intervieweesB. women interviewers and men intervieweesC. men interviewers and women intervieweesD. job seekers of either sex interviewed by either sexBTales From Animal HospitalDavid GramDavid Gram has become a familiar face to millions of fans of Animal Hospital. Here Dr Gram tells us the very best of his personal stories about the animals he has treated, including familiar patients such as the dogs Snowy and Duchess, the delightful cat Marigold Serendipity Diamond. He also takes the reader behind the scenes（在幕后）at Harmsworth Memorial Animal Hospital as he describes his day, from ordinary medical check-ups to surgery（外科手术）.Tales From Animal Hospital will delight all fans of the program and anyone who has a lively interest in their pet, whether it be cat, dog or snake! ￡14.99Hardback 272pp Simon SchusterISBN 0751304417Lsaac Newton: The Last sorcererMichael WhiteFrom the author of Stephen Hawking: A Life in Science, comes this colorful description of the life of the world’s first modern scientist. Interestin g yet based on fact. Michael White’s learned yet readable new book offers a true picture of Newton completely different from what people commonly know about him. Newton is shown as a gifted scientist with very human weaknesses who stood at the point in history where magic（魔术）ended and science began. ￡18.99 Hardback 320pp Fourth EstateISBN 1857024168F ermat’s Last ThcoremSimon SinghIn 1963 a schoolboy called Andrew Wiles reading in his school library came across the world’s greatest mathematical problem（数学题）: Fermat’s La st Theorem（定理）.First put forward by the French mathematician Pierre de Fermatin the seventeenth century, the theorem had baffled and beaten the finest mathematical minds, including a French woman scientist who made a major advance in working out the problem, and who had to dress like a man in order to be able to study at the Ecole Polytechnique. Through unbelievable determination（决心）Andrew Wiles finally worked out the problem in 1995. An unusual story of human effort over three centuries, Fermat’s Last The orem will delight（使高兴）specialists and general readers alike.￡12.99 Hardback 384pp Fourth EstateISBN 18570252107. What is Animal Hospital?A. A news storyB. A popular bookC. A research reportD. A TV program8. I n Michael White’s book, Newton is described asA. a person who did not look the same as in many picturesB. a person who lived a colorful and meaningful lifeC. a great but not perfect manD. an old-time magician9. The person who finally proved Fermat’s Last Theorem is .A. Simon SinghB. Andrew WilesC. Pierre de FermatD. a French woman scientist10. What is the purpose of writing these three texts?A. To make the books easier to read.B. To show the importance of scienceC. To introduce new authorsD. To sell the books.IV．对话填空：阅读下面对话，掌握其大意，并根据所给首字母的提示，在标有题号的右边横线上写出一个英语单词的完整、正确形式，使对话通顺。

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必修4综合含答案
一：选择题
1. 已知D 、E 、F 分别是ΔABC 的边AB 、BC 、CA 的中点，则下列等式中不正确的是
（A ）FA DA FD =+ （B ）0=++EF DE FD
（C ）EC DA DE =+ （D ）FD DE DA =+
2. 若│a │=2sin150,│b │=4cos150, a 与b 的夹角为030，则•的值是
（A ）23 (B)3 (C)23 (D)2
1 3. 设θ是第二象限角，则点))cos(cos ),(sin(cos θθP 在
（A ）第一象限 (B ）第二象限（C ）第三象限（D ）第四象限
4. 若α是锐角，且满足31)6sin(=-
πα,则αcos 的值为 (A)6162+ (B) 6162- (C)4132+ (D) 4
132- 5. 已知C B A ,,为平面上不共线的三点，若向量AB =（1，1），n =（1，-1），且n ·AC =2，则n ·BC 等于
（A ）-2 （B ）2 （C ）0 （D ）2或-2
6. 已知1cos sin -=+x x ,则x x 20052005cos sin +的值为
(A)0 (B)1 (C)-1 (D)±1
7. 若函数)(sin )(x g x x f +=在区间[43,4ππ-
]上单调递增，则函数)(x g 的表达式
为
(A)x cos (B)- x cos (C)1 (D)-x tan
8. 函数)2cos 21(log 2
1x y -=的一个单调递减区间是 (A))0,6(π-
(B)4
,0(π) (C)[2,6ππ] (D)[2,4ππ]
9. 函数)3sin()3cos(3)(θθ---=x x x f 是奇函数，则θtan 等于
(A)33 (B)- 33 (C)3 (D)- 3
10. 把函数)34cos(π+
=x y 的图象向右平移θ(θ>0)个单位，所得的图象关于y 轴对称，
则θ的最小值为 (A)6π (B) 3π (C) 32π (D) 3
4π 11.已知O 为原点，点B A 、的坐标分别为）
（0,a ,),0(a 其中常数0>a ，点P 在线段AB 上，且AP =t AB (10≤≤t )，则OA ·OP 的最大值为
(A)a (B)2a (C)3a (D)2a
12. 已知平面上直线l 的方向向量e =(5
3,54-),点)0,0(O 和)2,1(-A 在l 上的射影分别是O '和A '，则A O ''=λe ,其中λ等于 (A)511 (B)- 5
11 (C)2 (D)-2 二．填空题
13.若41log )sin(8=-απ,且)0,2
(πα-∈,则)2cos(απ-的值是____________. 14.已知│a │=│b │=2, a 与b 的夹角为060，则+在上的正射影的数量为_____________________.
15.函数x x y cos sin -=的图象可以看成是由函数x x y cos sin +=的图象向右
平移得到的，则平移的最小长度为_____________.
16.设函数)22,0)(sin()(πϕπωϕω<<-
>+=x x f ，给出以下四个论断： ①它的图象关于直线12π=
x 对称； ②它的图象关于点（3
π，0）对称； ③它的最小正周期是π；
④在区间[0,6π
-]上是增函数.
以其中两个论断作为条件，余下论断作为结论，写出一个正确的命题：条件_____________，结论____________.
三：解答题
17.已知平面内三个已知点)3,8(),0,0(),7,1(C B A ，D 为线段BC 上的一点，且有
⊥++)(，求点D 的坐标.
18.在锐角三角形ABC 中，322sin =
A ，求)23cos(2
sin 2A C B -++π的值.
19. 已知O 为ABC ∆的外心，以线段OB OA 、为邻边作平行四边形，第四个顶点为 D ,再以OD OC 、为邻边作平行四边形，它的第四个顶点为H .
(1) 若h OH c OC b OB a OA ====,,,,试用c b a 、、表示h ；（2）证明：BC AH ⊥；
（3）若ABC ∆的,45,6000=∠=∠B A 外接圆的半径为R ，用R .
20. 已知)2sin 3,1(),1,2cos 1(a x N x M ++a R a R x ,,(∈∈是常数），且y ⋅=
（O 为坐标原点）.
（1）求y 关于x 的函数关系式)(x f y =；
（2）若]2
,0[π
∈x 时，)(x f 的最大值为4，求a 的值；（3）在满足（2）的条件下，说明)(x f 的图象可由x y sin =的图象如何变化而得到？
参考答案
一选择题
DBBBB DBDCB DD
二填空题 13.35 14. 3 15.2
π 16.②③⇒①④或①③⇒②④ 三解答题
17.解：由已知)3,8(=BC ，因为点D 在线段BC 上，所以)3,8(λλλ==
又因为B （0，0），所以D )3,8(λλ，所以)37,81(λλ--=DA ，又)4,7(),7,1(-==，所以)318,85(λλ---=++ 又BC DA CA BA ⊥++)( 所以0)(=⋅++BC DA CA BA ，即14-73λ=0，λ=73
14 所以D （)73
42,73112 18．解：因为A+B+C=π，所以)2(22B A C +-=π
，又有322sin =A ，
A 为锐角得cosA=3
1 所以)1cos 2(2
cos 12cos 2sin )23cos(2sin 22
2--+=-=-++A A A A A C B π =9
13]1)31(2[231
12=--+ 19.解：（1）由平行四边形法则可得：OB OA OC OD OC OH
++=+= 即c b a h ++=
（2） O 是ABC ∆的外心，∴∣OA ∣=∣OB ∣=∣OC ∣，即∣a ∣=∣b ∣=∣c ∣,而c b a h OA OH AH
+=-=-=，
-=-=
∴ (=⋅CB AH )()c b c b -⋅+=∣∣-∣∣=0，∴AH ⊥ （3）在ABC ∆中,O 是外心A=060，B=045 ∴0090,120=∠=∠AOC BOC
于是
0150=∠AOB ∣h ∣2=（a c c b b a c b a c b a ⋅+⋅+⋅+++=++222)2222 =
02150cos 3⋅+R 90cos ⋅0120cos ⋅=（32-
）2R ， ∴R h 2
26-= 20.解：（1）a x x ON OM y ++
+=⋅=2sin 32cos 1，所以 a x x x f +++=12sin 32cos )(
（2）a x x f +++=1)62sin(2)(π，因为,20π≤≤x 所以 67626π
π
π
≤+≤x ，当262π
π
=+x 即6
π=x 时)(x f 取最大值3+a ，所以3+a =4，a =1
（3）①将x y sin =的图象向左平移6
π个单位得到函数)6sin()(π
+=x x f 的图象； ②将函数)6
sin()(π+=x x f 的图象保持纵坐标不变，横坐标缩短为原来的21得到函数)6
2sin()(π+=x x f 的图象；
③将函数)6
2sin()(π+=x x f 的图象保持横坐标不变，纵坐标伸长为原来的2倍得到函数)62sin(2)(π+=x x f 的图象； ④将函数)6
2sin(2)(π+=x x f 的图象向上平移2个单位，得到函数)6
2sin(2)(π+=x x f +2的图象。