新课标必修3,4综合测试卷
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20XX年高中测试高中试题试卷科目:年级:考点:监考老师:日期:高一第二学期必修三与必修四综合测试题(7)命题:方锦昌 尹秋梅 易传庚一、选择题:1、在ABC △中,AB =c ,AC =b .若点D 满足2BD DC =,则AD =( ) A .2/3b+1/3cB .5/3c-2/3bC .2/3b-1/3cD .1/3b+2/3c2、为得到函数的图像,只需将函数sin 2y x =的图像( )A .向左平移5/12π个长度单位B .向右平移5/12π个长度单位C .向左平移5/6π个长度单位D .向右平移5/6π个长度单位3、某校高三年级有男生500人,女生400人,为了了解该年级学生的健康情况,从男生中任意抽取25人,从女生中任意抽取20人进行调查.这种抽样方法是( )(A)简单随机抽样法 (B)抽签法(C)随机数表法 (D)分层抽样法 4、设sin5/7a π=,cos2/7b π=,tan 2/7c π=,则( ): (A )c b a << (B )a c b <<(C )a c b << (D )b a c << 5、把89化为五进制数,则此数为 ( ) A. 322(5)B. 323(5) C . 324(5) D. 325(5)6、在区间[1,1]-上任取三点,则它们到原点O 的距离平方和小于1的概率为 ( ) A.π/9B.π/8C. π/6D.π/47、在区间(10,20】内的所有实数中,随机取一个实数a,则这个实数a<13的概率是: A 、1/3 B 、1/7 C 、3/10 D 、7/108、函数tan sin tan sin y x x x x =+--在区间(π/2,3π/2)内的图象是( )9、已知cos (α-6π)+sin α=的值是则)67sin(,354πα-( ) (A )-532(B )532C 、-45 (D)5410、函数y =lncos x (-π/2<x <π/2的图象是( )o32ππ2πy A2-︒B o32ππ2πy2-︒2o 32ππ2πyC -︒xo32ππ2πyD2--︒二、填空题:11、设向量(12)(23)==,,,a b ,若向量λ+a b 与向量(47)=--,c 共线,则=λ. 12、执行右边的程序框图,若p =0.8,则输出的n =.13、(已知a ,b ,c 为△ABC 的三个内角A ,B ,C 的对边,向量m =(1,3-),n =(cos A ,sin A ).若m ⊥n ,且a cos B +b cos A =c sin C ,则角B =_____.14、直角坐标平面上三点(1,2)(3,2)(9,7)A B C -、、,若E F 、为线段BC 的三等分点,则AE AF ⋅=.15、从甲、乙两品种的棉花中各抽测了25根棉花的纤维长度(单位:mm ),结果如表中所示。
本册综合检测一、选择题(本题共15小题,每小题3分,共45分)1.水墨画是中国传统绘画形式,通过水墨相调,显现干湿浓淡的不同层次。
下列选项中与绘画下图所进行的思维活动相同的是( C )①仿照英语老师口型进行音标发音②计算三角函数③中午闻到食堂的饭香④参与政治学科讲座A.①②B.②④C.①③D.③④解析:绘画此图进行的思维活动为形象思维。
①③均属于形象思维;②属于分析思维,不合题意;④属于综合思维,不合题意。
2.以下说法违反了同一个逻辑思维基本要求的是( D )①甲、乙探讨一块地种什么庄稼好。
甲一会儿说种小麦,一会儿说不种小麦。
乙说:“你的两种看法我都不同意。
”②图书管理员说:“只有持证的人才可以进图书馆。
”甲掏出身份证说:“我有证,那我可以进。
”③甲对乙说:“这件事情我不会参与,我只会在必要的时候指导一下你们。
”④甲说:“我的记忆完全消逝了。
”乙问:“什么时候起先消逝的呢?”甲说:“去年3月13日。
”A.①②B.①③C.②④D.③④解析:冲突律要求在同一时间、从同一方面、对同一对象所形成的论断“A”和“非A”,不能断定它们都成立。
③中甲既说不参与这件事,又说参与,犯了“自相冲突”的错误,违反了冲突律;④中甲说自己的记忆完全消逝了,但却记得记忆消逝的时间,因此其说法是自相冲突的,违反了冲突律。
③④都违反了冲突律的基本要求,符合题意。
排中律要求在同一时间、从同一方面、对同一对象所形成的论断“A”和“非A”,不能断定它们都不成立。
①中甲一会儿说种小麦,一会儿说不种小麦,是相互冲突的论断,但是乙断定上述两个推断都是假的,违反了排中律。
②中图书管理员所说的证指的是图书馆的借阅证,和身份证内涵不一样,甲属于“偷换概念”,违反了同一律的逻辑要求。
3.(2024·湖北统考高考真题)某校举办教职工健康长跑竞赛,分男女两组记名次。
赛后,赵老师说:“我是女子组的最终,但不是全校最终。
”钱老师说:“我是女子组的第三。
Unit 4 单元综合能力测试满分:120分时间:120分钟第一部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C、和D)中,选出最佳选项,并在答题卡上将该项涂黑。
AResorts of every kind have sprung up to cater to the Englishman^ need to spend a part of the year, however briefly, by the seaside. No town in Britain is more than eighty miles from the sea and there are seaside resorts all round the coast. On a summer Sunday most of the roads that lead to the sea axe congested with cars full of people eager to get a breath of sea air. In the evening when everyone is full of food, ice-cream and lollypops, there is the long slow drive home on roads crowded with returning cars.BrightonBrighton is one of the best-known south coast resorts and is very popular for day trip excursions. It is only fifty miles from London and can be reached by fast train in an hour. At the weekend the pebbled beaches are thronged with people sunbathing or picking their way to the water’s edge for a dip.BournemouthLocated a hundred miles from London, the beaches are wide and sandy. White houses line the cliff tops and narrow valleys, densely wooded with pine trees, reach down to the shore. The area near to the town of Torquay on the Devon coast is sometimes called Britains Riviera and the climate is so mild that palm trees grow along the sea front. BlackpoolOn the north-west coast, a popular resort for the people in the industrial north, Blackpool is a gay, noisy town, famous for its amusement facilities and the magical lights. At night people travel from miles around to see the extravaganza of lights decorating the sea front. SouthendOn the east coast at the mouth of the Thames, Southend is, like Brighton, one of the favorite resorts of Londoners. The pier here is the longest in Britain and offers a great variety of differing entertainments. 21. Why do people often have a long slow drive home on roads in summer?A. Because it is extremely far from the sea.B. Because people are full of food, ice-cream and lollypops.C. Because too many returning cars often make a traffic jam.D. Because people are attracted in the resorts so they leave slowly.22. Which resort is famous for its entertainments and grand lights?A. Blackpool.B. Bournemouth.C. Briton.D. Southend.23. Which of the following statements is NOT true?A. There are palm trees growing near Bournemouth.B. Southend has the longest pier in Britain.C. People crowded into the water’s edge at Briton for a quick swim.D. Southend is a better preferred resort than Briton by London locals.BDo you have a spare room in your house? What about a driveway for your car? Both of these can help you make money.Many people who are feeling the pinch are taking advantage of what’s been called the “sharing economy”.Perhaps the best-known example of a company in this field is Airbnb---an American web business which allows you to rent out your spare room to holidaymakers.It says it operates in 34,000 cities and it has over 1,500,000 listings.It seems to have concerned the market!A British company is doing something with parking spaces.JustPark’s founder, Anthony Eskinazi, says ,“When I had the original idea,Ispotted a driveway close to a sports stadium.It would have been so convenient if I could have just parked in that driveway rather than in commercial car park.” And he has a big clientele(客户):around 20,000 people have advertised their spaces on the site,and he says around half a million drivers use it.There are other sites doing very similar things,like Uber andLyft---these let drivers share their cars with other passengers.Any driver knows how valuable a place to park is .A church near Kings Cross in central London has apparently made over £200,000 by renting out space in its yard to travelers!Because this is a new business world,those rules aren’t there yet and many people are happy to share...as long as it pays!But the sharing economy has its critics:the competitors of these new companies.People who run things like traditional B&B, commercial car parks and taxi services are afraid of ending up out of pocket.And there is another issue:regulations on these new business are unclear.How will renting out your driveway affect your neighbor?24. What does the underlined phrase “feeling the pinch” probably mean?A. Lacking in moneyB. Full of curiosityC. Willing to help othersD. Unsatisfied with their life25. Who may be against the sharing economy?A. A taxi driver who can’t find a a parking placeB. A priest in the church near Kings CrossC. A traveller who needs accomodiationD. A well-known high-end holiday hotel26. Why are many people pleased to share according to paragraph 4?A. They can gain huge profitsB. They needn’t pay any feeC. There are few rules to limit themD. The new business has norisks27. Which of the following words can best describe the booming business?A. Creative and developedB. Competitive but unpracticalC. Effective and worryingD. Traditional and acceptableCThis could be the perfect gift for the partner,who embarrasses you on the dance floor.Smart socks,which can teach to dance,may be the answer for anyone with two left feet.The socks have been developed as a running tool to help runners improve their skills.Thanks to the socks,users can accurately record not only how far and fast they run but also how well.It means the user maximizes their performance,and reduces damage to body and prevents hurt.The hi-tech socks are made of special fibers that watch the movements of your feet.They look,feel and can be washed like normal clothes.Sensors(传感器)record each movement and send it by an ankle transmitter(脚踝发射器)to a smart phone. Then a “virtual coach” application shows the information and can tell the user what they are doing wrong,and help to improve skill in any task with feet.The socks should be useful to athletes and weekend joggers."People think running is so easy and of course everybody can do it but notnecessarily safely and well,"Dr Davide Vigano said.A recent study showed that between 60 and 80 percent of runners got hurt per year.This is pretty much more than any other human activity.Researchers say the technology can also be developed to teach people how to dance,play sports such as golf,or even to help to teach women to walk better in high heels.Mr.Vigano said,“People could all benefit from the idea.We have had interest from all sorts of sports,like skiing, football,cycling and golf.Anything where you have to use your feet can use it.It could even be put in high heels to help women walk in them safely.”Socks are just the start,and the technology could be used in gloves,hats and boots.The socks,anklet and software package,are expected to be sold for around£120,which will go on sale in March.28. What does the underlined part "anyone with two left feet" refer to?A. People who are disabled.B. People who are interested in dancing.C. People who are not good at dancing.D. People who invented the socks.29. What's special about fibers that the socks are made of?A. They feel much softer than normal clothes.B. They can monitor the movement of feet.C. They are expensive to produce.D. They act as a smart phone for users.30. WHch of the following is NOT mentioned about the socks?A. They can improve the skill of running.B. They can help women walk better in high heels.C. They can teach people to dance well.D. They can be worn for days without washing.31. According to Dr.Vigano, .A. everyone can make good use of the smart socksB. users can run as fast as they like with the socksC. 60 to 80 percent of runners would like to buy the smart socksD. no runners will get hurt,thanks to the socksDApple announced its new iPhones last week, but competitors’ mobile phones can do many of the same things for less money.The new iPhone 8 and X have wireless charging, edge-to-edge glass screen and double cameras. But all of these features are already available in smart phones from China’s Huawei and Oppo, and Korea’s Samsung. While Apple asks buyers to pay $1,000 for its high-end model, some Asian phone makers can offer similar features for less.At one time, Chinese manufacturers copied features and designs from others to produce low-cost phones. But they have now added high-end features to their phones and they control nearly half the global mobilephone market.Media MarktSaturn is Europe’s biggest electronics seller. A spokesperson for the store told Reuters that,“Huawei is seen as a relev ant competitor to Apple and Samsung by covering all major price points and placing big investments in marketing and sales. ’’ She also said that the Chinese companies Huawei, ZTE, Lenovo and TCL were among the top-10 best-selling smart phones in its stores.Chinese manufacturers’ fast growth has been fueled by strong sales in China. But they now export 40 percent of their smart phones. That is almost double the number from just three years ago, according to the Hong Kong investment company CLSA.Huawei is c urrently the world’s third largest phone maker behind Samsung and Apple. According to research company Canalys, the Chinese company is getting closer to second-place Apple and might overtake it later this year. Huawei plans to show its top-of-the-line Mate 10 phone on Oct. 16. The phone will have artificial intelligence features such as instant translation and image recognition and will cost less than $1,000.Other Chinese companies are looking to enter the high-end smart phone market.32. What is the text mainly about?A. Smart phone’s manufacturers.B. Apple smart phone’s features.C. Asian phone makers’ fast growth.D. Competition among Asian phone makers.33. Which is NOT among the top 3 phone makers in the world?A. TCL.B. Samsung.C. Apple.D. Huawei.34. What do we know from the text?A. Huewei will have overtaken Apple by later 2017.B. Chinese makers’ phones with high-end features cost less.C. The top-10 smart phones are to enter the high-end competition.D. 40 percent of Asian smart phones are exported now.35. What is the writer’s attitude towards Asian phone makers?A. Doubtful.B. Concerned.C. Optimistic.D. Uncertain. 第二节(共5小题;每小题2分,满分10 分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
单元综合检测(四)(时间:100分钟;满分:120分)第一部分阅读(共两节,满分50分)第一节(共15小题;每小题2.5分,满分37.5分)AIt's 2035. You have a job,a family and you're about 40 years old! Welcome to your future life.Getting ready for work, you pause in front of the mirror. “Turn red,” you say. Your shirt changes from sky blue to deep red.Tiny preprogrammed electronics (智能电子元件) are rearranged in your shirt to change its color. Looking into the mirror, you find it hard to believe you're 40. You look much younger. With amazing advances in medicine, people in your generation may live to be 150 years old.You're not even middleaged!As you go into the kitchen and prepare to pour your breakfast cereal into a bowl, you hear, “To lose weight, you shouldn't eat that!”from your shoes. They read the tiny electronic code(电子源码)on the cereal box to find out the nutrition details. You decide to listen to your shoes. “Kitchen,what can I have for breakfast?”A list of possible foods appears on the counter as the kitchen checks its food supplies.“Ready for your trip to space?” you ask your son and daughter. In 2015 only specially trained astronauts went into space—and very few of them. Today anyone can go to space for day trips or longer vacations. Your best friend even works in space.Handing your children three strawberries each, you add, “The doctor says you need these for space travel.” Thanks to medical advances, vaccination shots (防疫针) are a thing of the past. Ordinary foods contain special vaccines. With the strawberries in their mouths,the kids head for the front door.It's time for you to go to work. Your car checks your fingerprints and unlocks the doors. “My office.Autopilot,”you command.Your car drives itself down the road and moves smoothly into traffic on the highway.You sit back and unroll your enewspaper. The latest news downloads and fills the viewer. Looking through the pages, you watch the news as video film rather than read it.1.What changes the color of your shirt?A.The mirror.B.The preprogrammed electronics.C.The sunlight.D.The medicine.B [细节理解题。
图1乙甲7518736247954368534321高一数学试题一、选择题(本题共12小题,每题5分,共60分。
每题只有一个正确答案) 1.已知点P (ααcos ,tan )在第三象限,则角α在 A .第一象限B .第二象限C .第三象限D .第四象限2.我校高中生共有2700人,其中高一年级900人,高二年级1200人,高三年级600人,现采取分层抽样法抽取容量为135的样本,那么高一、高二、高三各年级抽取的人数分别为A .45,75,15B .45,45,45C .30,90,15D .45,60,303.已知a 与b 均为单位向量,它们的夹角为60︒,那么|3|a b -等于 ABCD .44. 图1是某赛季甲、乙两名篮球运动员每场比赛得分的 茎叶图,则甲、乙两人这几场比赛得分的中位数之和是 A .62 B .63 C .64 D .65 5.在ABC ∆中,有如下四个命题:①BC AC AB =-;②AB BC CA ++=0 ;③若0)()(=-⋅+,则ABC ∆为等腰三角形;④若0>⋅AB AC ,则ABC ∆为锐角三角形.其中正确的命题序号是A .① ②B .① ③ ④C .② ③D .② ④6. 将函数sin (0)y x ωω=>的图象沿x 轴方向左平移6π个单位,平移后的图象如右图所示.则平移后的图象所对应函数的解析式是A .sin()6y x π=+B .sin()6y x π=-C .sin(2)3y x π=+D .sin(2)3y x π=-7.给出如下四对事件:①某人射击1次,“射中7环”与“射中8环”;②甲、乙两人各射击1次,“甲射中7环”与“乙射中8环”; ③甲、乙两人各射击1次,“两人均射中目标”与“两人均没有射中目标”; ④甲、乙两人各射击1次,“至少有1人射中目标”与“甲射中,但乙未射中目标”, 其中属于互斥事件的有( ) A .1对 B .2对 C .3对 D .4对 8.200所示,则时速在[60,70)的汽车大约有( ) A .30辆 B . 40辆C . 60辆 D .80辆9. 函数)cos[2()]y x x ππ-+是 A 周期为4π的奇函数 B 周期为4π的偶函数组距频率C 周期为2π的奇函数 D 周期为2π的偶函数 10.如果下边程序执行后输出的结果是990,那么在程序中 WHILE 后面的“条件”应为A. i>10B. i<8C. i<=9D. i<911.下列各式中,值为12的是 A .sin15cos15B . 22cos sin 1212ππ- C .6cos 2121π+ D .2tan 22.51tan 22.5- 12.在腰长为2的等腰直角三角形内任取一点,使得该点到此三角形的直角顶点的距离不大于1的概率为 A .π B .π C .π D .π二、填空题(每题4分,共16分)13.已知扇形半径为8, 弧长为12, 则中心角为 弧度, 扇形面积是 14. 已知x 与y 之间的一组数据为则y 与x 的回归直线方程a bx y +=必过定点_____15.已知样本9,10,11,,x y 的平均数是10xy = 16.已知tan2α=2,则αtan 的值为_________;6sin cos 3sin 2cos αααα+-的值为____________三、解答题17.已知(1,2)a =,)2,3(-=,当k 为何值时,(1) ka b + 与3a b - 垂直?(2) ka b + 与3a b -平行?平行时它们是同向还是反向?18.一纸箱中放有除颜色外,其余完全相同的黑球和白球,其中黑球2个,白球3个.(Ⅰ)从中同时摸出两个球,求两球颜色恰好相同的概率;(Ⅱ)从中摸出一个球,放回后再摸出一个球,求两球颜色恰好不同的概率.19.某校从参加考试的学生中抽出60名学生,将其成绩(均为整数)分成六组[40,50),[50,60) ...[90,100]后画出如下部分频率分布直方图.观察图形的信息,回答下列问题:(Ⅰ)求成绩落在[70,80)上的频率,并补全这个频率分布直方图; (Ⅱ) 估计这次考试的及格率(60分及以上为及格)和平均分;(Ⅲ) 从成绩是70分以上(包括70分)的学生中选两人,求他们在同一分数段的概率.20.已知,cos )a x m x =+ ,(cos ,cos )b x m x =-+ , 且b a x f∙=)((1) 求函数()f x 的解析式;(2) 当,63x ππ⎡⎤∈-⎢⎥⎣⎦时, ()f x 的最小值是-4 , 求此时函数()f x 的最大值, 并求出相应的x 的值.第19题图21.已知向量 a =(cos α,sin α),b =(cos β,sin β),|b a-.(Ⅰ)求cos (α-β)的值;(Ⅱ)若0<α<2π,-2π<β<0,且sin β=-513,求sin α的值.22.(本小题满分14分) 函数f (x)=|sin2x |+|cos2x |(Ⅰ)求f (127π-)的值;(Ⅱ)当x ∈[0,4π]时,求f (x)的取值范围;(Ⅲ)我们知道,函数的性质通常指函数的定义域、值域、周期性、奇偶性、单调性等,请你探究函数f (x)的性质(本小题只需直接写出结论)高一数学试题第二学期质量检测答案一、BDACC CBDCD DB 二、13.23,48 14.(1.5,4) 15.96 16.—34,76三、17.解:(1,2)(3,2)(3,22)ka b k k k +=+-=-+3(1,2)3(3,2)(10,4)a b -=--=-(1)()ka b +⊥ (3)a b -,得()ka b + (3)10(3)4(22)2380,19a b k k k k -=--+=-==(2)()//ka b + (3)a b - ,得14(3)10(22),3k k k --=+=-此时1041(,)(10,4)333ka b +=-=-- ,所以方向相反。
综合测试(满分:120分建议用时:120分钟)第一部分阅读(共两节,满分50分)第一节(共15小题,每小题2.5分,满分37.5分)阅读下列短文,从每题所给的A、B、C、D四个选项中选出最佳选项。
AHappy birthdayThe China National Opera (CNO) will give a concert to celebrate its 50th birthday.Different generations of CNO vocalists, like Li Guangxi, Yao Hong and Ma Mei, will present the concert which will feature both songs from famous Chinese operas like “The White-haired Girl” and “The Hundredth Bride”, as well as, arias(唱腔) of such Western opera classics as “Madame Butterfly”,“La Traviata” and “Rigoletto”.Time/ date: 7:30 p.m., September 7th, 8thLocation: Tianqiao TheatreTel: 6551-4787, 8315-6170Tickets: 60—500 yuan (U.S. $7.2—60.2)Folk musicA concert will be held to feature some recently composed traditional Chinese music works. The concert, given by the Folk Orchestra of the China Opera and Ballet Theatre, will include such pieces as “Memory of Childhood”,“Memorial Ceremony for God” and “Wine Song”.Time/date: 7:30 p.m., September 13thLocation: Concert hall at the National Library of ChinaTel: 6848-5462, 6841-9220Tickets: 30—200 yuan (U.S. $3.6—24.1)Moon musicA concert of traditional Chinese music will be given on the eve of the Moon Festival which falls on September 21st this year. The concert will feature a number of famous pieces centered on the theme of the moon, such as “Moonlight”,“Spring Night on a Moonlit River” and “Lofty Mountain and Flowing River”.A number of established traditional Chinese music performers like Zhou Yaokun and Fan Weiqing, will play solos as well as collaborate with the folk music orchestra.Time/date: 7:30 p.m., September 21stLocation: Grand Theatre of the Cultural Palace of NationalitiesTel: 6606-8888, 6606-9999Ticket: 40—240 yuan (U.S. $4.8—27)( )1.“Madame Butterfly” is .A.a Chinese opera B.a piece of musicC.a Western opera D.a song( )2.If you want to buy tickets for listening to the music “Memory of Childhood”, you will dial .A.6551-4787 B.6606-9999C.8315-6170 D.6848-5462( )3.Which statement is TRUE according to the passage?A.Li Guangxi, Yao Hong and Ma Mei stand for the same generation of CNO vocalists.B.“Lofty Mountain and Flowing River” is a traditional Chinese music.C.“Rigoletto” is a famous piece on the theme of the moon.D.Zhou Yaokun will play solos and Fan Weiqing will collaborate with the folk music orchestra.【语篇解读】本文是一篇应用文,介绍了一些出名的歌剧,音乐会等的演出时间以及主要内容,票价,演出地点等等,吸引感爱好的读者前去观看。
必修三、必修四综合测试题11.某社区有400个家庭,其中高等收入家庭120户,中等收入家庭180户,低收入家庭100户.为了调查社会购买力的某项指标,要从中抽取一个容量为100的样本记作①;某校高一年级有12名女排球运动员,要从中选出3人调查学习负担情况,记作②;那么,完成上述2项调查应采用的抽样方法是( ) A.①用随机抽样法,②用系统抽样法 B.①用分层抽样法,②用随机抽样法 C.①用系统抽样法,②用分层抽样法 D.①用分层抽样法,②用系统抽样法2.已知),1,5(),2,3(---N M 若,21MN MP =则P 点的坐标为( )A.)1,8(-B.)1,8(-C.)23,1(-- D.)23,1( 3.若f(x)=cos2x ,且f(x+b)是奇函数,则b 可能是( )A.12π B.6π C.4π D.3π4.x 是三角形的一个内角,且sinx+cosx=15-,则tanx 的值是( )A.43-B.43C.34-D.345.已知,3,2,==⊥b a b a且b a 23+与b a -λ垂直,则实数λ的值为( )A.;23-B.;23 C.;23±D.;16.甲乙两人下棋,甲获胜的概率为40%,甲不输的概率为90%,则甲乙下成和棋的概率为( ) A .60% B .30% C .10% D .50%7.已知点)2,1(),1,0(),1,2(),0,1(--D C B A ,则AB 与CD 的夹角大小为( ) A. 180 B. 120 C. 90 D. 608.右面的程序输出的结果是( )A.3B.5C.9D.13 9.有下列四种变换方式:①向左平移4π,再将横坐标变为原来的21;②横坐标变为原来的21,再向左平移8π; ③横坐标变为原来的21,再向左平移4π;④向左平移8π,再将横坐标变为原来的21;其中能将正弦曲线x y sin =的图像变为)42sin(π+=x y 的图像的是( )A.①和②B.①和③C.②和③D.②和④ 10.的机会均等,那么两个指针同时落在奇数所在区域的概率是( )A.49B.29C.23D.1311.右面程序框图的功能是( ) A.求满足200421>+⋯⋯++n 的最小整数B.求满足2004121>-+⋯⋯++n 的最小整数C.求满足200421<+⋯⋯++n 的最大整数D.求满足2004121<-+⋯⋯++n 的最大整数 ★12.若对任意实数a ,函数⎪⎭⎫⎝⎛-+=6312sin 5ππx k y (k ∈N)在区间[a ,a +3]上的值45出现不少于4次且不多于8次,则k 的值是( ) A.2 B.4 C.3或4 D.2或3二、填空题:13.为了了解参加运动会的2000名运动员的年龄情况,从中抽取100名运动员;就这个问题,下列说法中正确的有 .①2000名运动员是总体;②每个运动员是个体;③所抽取的100名运动员是一个样本;④样本容量为100;⑤这个抽样方法可采用按年龄进行分层抽样;⑥每个运动员被抽到的概率相等.14.取一个边长为2a 的正方形及其内切圆,若随机地向正方形内丢一粒豆子,则豆子落入圆内的概率为 ★15.函数x y 22sinlog =的单调减区间是____________________16.已知正方形ABCD 的边长为1,设,,,c AC b BC a AB===则c b a +-的模为 .三、解答题: 17. 已知),0(,,55cos ,31tan πβαβα∈=-=(1)求βsin 的值; (2)求)tan(βα+的值.18.从4名男生和2名女生中任选3人参加演讲比赛, ⑴求所选3人都是男生的概率; ⑵求所选3人恰有1名女生的概率;⑶求所选3人中至少有1名女生的概率。
综合质量检测(Units 1~5)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。
1.How does the man get to work every day?A.By car. B.By bus. C.On foot.2.Where is Peter?A.At home. B.In a library. C.In his office.3.What are the speakers going to do?A.Try to call Ann.B.Go to look for Ann.C.Wait for Ann till 11:30.4.What are the speakers mainly talking about?A.Their vacation plans.B.Some famous places.C.Their parents abroad.5.What does the man mean?A.He likes Brazil best.B.England plays better than Brazil.C.Brazil is expected to win the match.第二节:(共15小题;每题1.5分,满分22.5分)听下面5段对话或独白。
每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听第6段材料,回答第6至7题。
6.What is the relationship between the speakers?A.Neighbors.B.Husband and wife.C.Policeman and witness.7.What caused the fire?A.The rubbish.B.The lamp.C.The computer.听第7段材料,回答第8至9题。
综合复习与测试试卷(答案在后面)一、单项选择题(本大题有7小题,每小题4分,共28分)1、在下列物理量中,不属于矢量的是()A. 速度B. 力C. 时间D. 功2、一个物体在水平面上受到一个水平向右的拉力F,同时受到一个与F方向相反的摩擦力f,物体最终保持静止。
则下列说法正确的是()A. 拉力F大于摩擦力fB. 拉力F小于摩擦力fC. 拉力F等于摩擦力fD. 拉力F和摩擦力f大小无法确定3、恒定电流部分的电路中,一盏灯与一个灯泡并联后连接到电源上。
如果在这个并联电路中增加一个与原来的灯泡型号相同的新灯泡,以下说法正确的是?A、整个电路的总电流会变大B、电源的输出电压会增加C、原来的一盏灯和新增的一盏灯都会变亮D、原灯泡的电流会减小4、关于电动势的理解,下列说法正确的是?A、电动势越大的电源,其供自由电子的能力越强B、电源接入电路后,其两端的电压等于电源的电动势C、电压表直接接在电源两极,可以准确测量电源的电动势D、外电路断开时,电源的端电压等于电源的电动势5、根据平面镜成像原理,如果一束光线经过一个平面镜,反射光线的入射角和反射角的平等条件是()A. 入射角等于反射角B. 入射角加上反射角等于180度C. 入射光线、反射光线和法线在平面镜上围成的三角形是等边三角形D. 入射光线和反射光线的延长线相交,其交点与入射点的距离相等6、下列关于功率的说法中,正确的是()A. 功率是表示做功快慢的物理量B. 功率越大,物体所需时间一定越短C. 功率越大,做功的多少也一定越多D. 一段时间内做功的多少和做功快慢没有关系7、下列关于平抛运动的说法中,正确的是()A、平抛运动在水平方向上做匀速直线运动B、平抛运动在竖直方向上做匀速直线运动C、平抛运动的速度在任意时刻都保持不变D、平抛运动在任意时刻的加速度大小和方向都保持不变二、多项选择题(本大题有3小题,每小题6分,共18分)1、下列关于热力学定律的描述,哪些是正确的?A、第一定律指出系统吸收的热量等于系统对外做的功与系统内能增加量之和。
必修3第四单元综合测试题本试卷分为阅读鉴赏和表达交流两部分,满分150分。
考试用时150分钟。
第I卷阅读鉴赏(共76分)一、古诗文阅读鉴赏(40分)(一)诗文默写(8分)1.补写出下列名句名篇空缺的部分。
(任选两小题)(4分)(1)_______________________,只是朱颜改。
问君能有几多愁?_________________________。
(李煜《虞美人》)(2)剑阁峥嵘而崔嵬,______________________,_________________________。
(李白《蜀道难》)(3)凭谁问, _________________________,________________________。
(辛弃疾《永遇乐·京口北固亭怀古》)2.默写王昌龄的《从军行(之四)》。
(4分)从军行(之四)王昌龄___________________,___________________。
___________________,___________________。
(二)诗词曲阅读(12分)3.阅读下面的唐诗,然后回答问题。
倦夜杜甫竹凉侵卧内,野月满庭隅。
重露成涓滴,稀星乍有无。
暗飞萤自照,水宿鸟相呼。
万事干戈里,空悲清夜徂。
(1)请写出这首诗颈联中一组对仗的词语。
(2分)答:______________和______________。
(2)从抒情方式看,前六句和后两句的抒情方式有什么不同?(2分)答:_____________________________________________________________。
(3)诗歌是从哪些方面来写“倦”的?(4分)答:______________________________________________________________________________ ___________________________________________________。
综合测试(四)
一.选择题
1.△ABC 为等腰三角形,∠A=∠B=30°,设AC b AC a AB ,,==边上的高为BD ,则BD 为( ) A.
b a +23 B. b a -23 C. a b +23 D. a b -2
3
2.A 、B 两位同学在5次数学考试中的成绩统计,如茎叶图所示,A 、B 两人的平均成绩分别为B A x x ,,下列结论正确的是( ) A.B A x x <,B 比A 成绩稳定 B. B A x x >,B 比A 成绩稳定 C. B A x x <,A 比B 成绩稳定 D. B A x x >,A 比B 成绩稳定
3.x x sin lg =的实根个数为( ) A.4 B.5 C.6 D.7
4.],0[),26
sin(2ππ
∈-=x x y 的单调递增区间为( )
A.]3
,
0[π
B. ]127,
12[
π
π C. ]65,3[ππ D. ],65[ππ
5.)1,(),2,1(x ==,若2+与-2平行,则=⋅( ) A.
25 B.2 C.1 D. 2
7
6.采用简单随机抽样从含有6个个体的总体中抽取一个容量为3的样本,个体a 前两次未被抽到,第三次被抽到的概率为( ) A.
21 B.31 C. 51
D.6
1
7.函数x y 2sin =的图像按向量a 平移后得到12cos +=x y ,则a =( ) A.)1,4
(
π
B. )1,4
(π
-
C. )1,2(π
-
D. )1,2
(π
8.已知)0,1(),3,3(-==,又点C
1=
的取值范围是( ) A.]6,4[ B. ]5,3[ C.]110,110[+- D.]162,162[+- 9.对一个作直线运动的质点的运动过程,观测了8次,第i 次测得的数据为i a ,用a 表示平
均数,按算法流程图输出的值为( )
A.5
B.6
C.7
D.8
10.已知1=≠,对任意R t ∈≥,则有( )
A.e a ⊥
B. )(e a a -⊥
C. )(e a e -⊥
D. )()(e a e a -⊥+ 11.三位同学乘同一列火车,火车有10节车厢,则至少有2位同学上了同一车厢的概率为( ) A.
10029 B.1257 C.187 D.25
7 12.βαtan ,tan 是方程04332
=++x x 的两根,且2
2
π
απ
<
<-
,2
2
π
βπ
<
<-
,则
=+βα( )
.A.
3π B.3
π或32π- C. 3π-或32π
D. 32π-
二.填空题
13.锐角α满足3
1
)6
sin(=
-
π
α,则=αcos ________.
14.已知△AOB 的面积为1,OB OA OP 5
2
51+=
,则△APB 的面积为________. 15.设函数43)(2-+=x x x f 的定义域为]5,5[-,记“当]5,5[0-∈x 时,0)(0≥x f ”为事件A ,则=)(A P ________. 16.三角函数满足下列条件 (1)在)4
,0(π
上单调递增;(2)最小正周期为
2
π
;(3)偶函数。
则其解析式可写为________. 三.解答题
17.已知)2
3,
2
(),sin ,(cos ),3,0(),0,3(π
πθθθ∈C B A
(1=,求θ.
(2)若,1-=⋅BC AC 求θ
θ
θtan 12sin sin 22++的值。
18.已知)3
sin(cos 2sin 3cos sin )(2
π
++-=x x x x x x f
(1)求)(x f 的最小值及相应x 的取值集合。
(2)求)(x f 的单调区间。
(3)作出函数在一个周期内的图象。
19.有9张卡片,分别写着数字1,2,3,4,5,6,7,8,9,甲乙二人依次从中抽取一张,不放回,求
(1)甲抽到写有奇数的卡片且乙抽到写有偶数的卡片的概率。
(2)甲乙二人至少抽到一张奇数字卡片的概率。
20.b a ,是不共线的两个非零向量,
(1)若b a OA -=2,b a OB +=3,b a OA 3-=。
求证:A ,B ,C 三点共线。
(2)若b k a +8与b a k 2+共线,求实数k 的值。
(3)设b a OP b n ON a m OM βα+===,,,其中R n m ∈βα,,,且0,0≠≠n m ,若
P N M ,,三点共线,求证:
1=+
n
m
β
α。
21.已知不等式022sin 2cos 2
<---m x m x 在]2
,0[π
上恒成立,求实数m 的取值范围。
22. △ABC 的三个内角分别为A 、B 、C ,)cos 1,(sin B B -=与)0,2(=的夹角为3
π。
(1)求∠B.
(2)求B A sin sin +的取值范围。