2014学年预备第一学期期中复习卷一
2014年师大附中高一第一学期期中考试试卷
师大附中高一第一学期期中考试试卷一、选择题（每小题5分，共60分）1.设全集{}1,3,5,7,9U =，集合{}1,5,9A a =-，{}5,7u C A =，则a 的值是（ ） A.2 B.8 C.-2或8 D.2或8 2.下列各组函数中，表示同一函数的是（ ）A. 0()1,()f x g x x == B. 24()2,()2x f x x g x x -=+=-C. (0)(),()(0)x x f x x g x x x ≥⎧==⎨-<⎩D. 2(),()f x x g x ==3.已知幂函数的图像经过点2)，则(4)f 的值是（ ）A.2B.8C.16D.64 4.设0.5212,log 3,log a b c ππ===，则,,a b c 的大小关系是（ ）A. a b c >>B. b a c >>C. c a b >>D. b c a >> 5.82log 9log 3=（ ） A.23 B. 32C.1D.2 6.下列函数中，既是奇函数又是增函数的为（ ） A. 1y x =+ B. 3y x =- C. 1y x=D. y x x = 7.化简2115113366221()(3)()3a b a b a b -÷-的结果是（ ）A. 6aB. a -C. 9aD. 29a8.设函数1221,0,(),0.x x f x x x -⎧-≤⎪=⎨⎪>⎩，若0()1f x >，则0x 的取值范围是（ ）A. (1,1)-B. (1,)-+∞C. (,2)(0,)-∞-+∞ D. (,1)(1,)-∞-+∞9.根据表格中的数据，可以断定方程20x e x --=的一个根所在的区间是( )A. (1,0)-B. (0,1)C. (1,2)D. (2,3) 10.已知(3),(1)()log ,(1)a a x a x f x x x --<⎧=⎨≥⎩是(,)-∞+∞上的增函数，那么a 的取值范围是（ ）A. (1,)+∞B. (,3)-∞C. 3,32⎡⎫⎪⎢⎣⎭D. (1,3) 11.函数(),()f x g x 分别为R 上的奇函数、偶函数，且满足()()x f x g x e -=，则有（ ）A. (2)(3)(0)f f g <<B. (0)(3)(2)g f f <<C. (2)(0)(3)f g f <<D. (0)(2)(3)g f f <<12. ()f x 是偶函数，它在[)0,+∞上是减函数，且(lg )(1)f x f >，则x 的取值范围是( ) A. 1(,1)10 B. 1(0,)(1,)10+∞ C. 1(,10)10 D. (0,1)(10,)+∞ 二、填空题（每小题5分，共20分）13.定义集合的A 、B 的一种运算：{}12,12,A B x x x x x A x B *==+∈∈其中，若{}{}1,2,3,1,2A B ==，则A B *中的所有元素数字之和为________14.函数212log (412)y x x =--的单调增区间为________15.函数()321f x ax a =-+在[]1,1-上存在一个零点，则a 的取值范围是_________16.设,,a b c 均为正数，且11222112log ,()log ,()log 22a b ca b c ===，则,,a b c 的大小关系是_________三、解答题（每小题14分，共70分）17.已知集合{}{}{}213,,,2,A x x B y y x x A C y y x a x A =-≤≤==∈==+∈，若满足C B ⊆，求实数a 的取值范围. 18.已知函数2()1ax b f x x +=+是定义在(1,1)-上的奇函数，且12()25f = （1）确定函数()f x 的解析式；（2）用定义证明()f x 在(1,1)-上是增函数 19.已知函数212()log ()f x x mx m =--（1）若1m =，求函数()f x 的定义域；（2）若函数()f x 的值域为R ，求实数m 的取值范围；（3）若函数()f x 在(,1-∞上是增函数，求实数m 的取值范围。
2014第一学期七宝高一期中试卷
2014第一学期七宝中学高一期中英语试卷第I卷(共99分)注意：高一学生身份证号码前5位数是20161 后4位数是你的班级号和学号。
请不要填涂错！！！I. Listening ComprehensionSection A 30%1. A. Gate 10. B. Gate 6. C. Gate 16. D. Gate 60.2. A. The old woman fell down on the floor.B. The man reminded the woman to rush quickly.C. The floor was not smooth enough.D. The woman accepted the friendly reminder.3. A. Because it is usually of low quality. B. Because it doesn’t meet the standard.C. Because it is cheaper in the store.D. Because it might be a stolen item.4. A. Talk to students. B. Collect more information.C. Work on the research paper.D. State out his own opinions.5. A. Making a room reservation. B. Hiring people to work at night.C. Looking for a job for a resident.D. Calling to complain about hotel service.6. A. Few people live near the river.B. Local people feel insecure about the dam.C. The dam will cause pollution to the area.D. A new dam damaged nearby houses.7. A. Doctor and patient. B. Driver and passenger.C. Laundry worker and customer.D. Waitress and customer.8. A. To improve his techniques quickly. B. To take more lessons.C. To train with a professional.D. To teach people to play tennis.9. A. He was too busy to take the test. B. He did very well in the test.C. He left some questions unanswered.D. He took the test twice.10. A. To have coffee with her friend. B. To pay her bills in the bank.C. To get some money from the bank.D. To buy books in the bookstore. Section BDirections: In Section B, you will hear two short passages, and you will be asked three questions on each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage.11. A. Level 1. B. Level 2.C. Level 3.D. Level 4.12. A. Current periodicals and journals. B. Copy facilities.C. Engineering books.D. Group study rooms.13. A. $5.50. B. $11.00C. $22.50D. $15.00Questions 14 through 16 are based on the following passage.14. A. A dog attack. B. A medical error.C. A big fire.D. A car accident.15. A. They drew back in horror. B. They found her face unbearable.C. They stopped to stare at her.D. They forced her to wear a mask.16. A. She couldn’t recognize her own face.B. She felt amazed at her new appearance.C. She thought it was better to wear a mask.D. She was confident enough to see her daughter.Section CDirections: In Section C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.Blanks 17 through 20 are based on the following conversation.Complete the form. Write ONE WORD for each answer.Blanks 21 through 24 are based on the following conversation.II. Grammar and Vocabulary 12%Section ADirections: After reading the passages below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.Sometimes you have to go somewhere risky to see the best views. Or at least, to a place that challenges you. This is___25___ happened when I went to Laos in Southeast Asia.It’s a small country, and people don’t have ___26___ money. But I had heard promises of beauti ful scenery, great food, and friendly people. I’d also heard that I’d have a chance___27___( fly) through the jungle.First I landed in Luang Prabang – a beautiful, small city with___28___ wonderfully slow way of life – and met up with my friends. We saw some great sights, including waterfalls and many Buddhist temples and statues. ___29___ there, we traveled south to Paksong, ___30___ the jungle was located.To get there, however, we had to go on what I described as an “overnight coach (长途客车) ride of death”. On the trip, my friend David was very sick from some bad food he___31___( eat) in Luang Prabang the night before. My friend Calvin and I kept___32___ (look) at each other in fear when our coach tried to turn around very dangerous corners on a road on the side of a cliff (悬崖), without falling off. The coach kept making___33___( unexplain) noises. We were all scared.So we were all quite tired when we finally arrived at Treetop Explorer, the company___34___ would take us to the jungle. But it was worth it when we finally started zip-lining (滑索道) through the trees. I put___35___ in a harness (系带) ___36___ I took my first jump on the wire (索道) to get from tree to tree, and although I wasn’t really flying, it really felt like I was – I forgot my fear of heights when I saw the rivers and trees of the jungle go past at a great speed underneath me.Section B 10% 从此题开始请严格按题号填涂！！！Directions: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.III. Reading ComprehensionSection A 15%Directions: For each blank in the following passage there are four words or phrases marked A, B,C and D. Fill in each blank with the word or phrase that best fits the context.Generally speaking, girls take part in sports much less than boys do. ___47___, sports can not only give you better body shape but also help you ___48___ failure and build your___49___. More and more data shows that if women often do physical exercise they will be more ___50___ in their career than those who never play sports.It is worrying that most girls are far less active in taking physical exercise than boys. Only a quarter of girls in England meet currently___51___ levels of physical activity at all. The girls solely___52___ academic achievement in school. This means that they may only be used to___53___, and never know how to recover from failures.The___54___ of losing a basketball game and carrying on to another match builds resilience(重新振作的能力). It gives girls the___55___ to understand the meaning of___56___, and this will help them face competition in their work more confidently. Many female employees believe sports make them more disciplined, resilient and competitive in their careers.Many girls___57___ that they have not enough time to do physical exercise. ___58___ why not spare your time of watching soap operas or gossiping about celebrities for sports? You will find a___59___ to fit physical activity into your ___60___. Nothing is more ___61___to staySection B 24%Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have just read.ADo you find getting up i n the morning so difficult that it’s painful? This might be called laziness, but Dr. Kleitman has a new explanation. He has proved that everyone has a daily energy cycle.During the hours when you labor through your work you may say that you’re “hot”. That’s true. The time of day when you feel most energetic is when your cycle of body temperature is at its peak. For some people the peak comes during the afternoon. For others it comes in the afternoon or evening. No one has discovered why this is so, but it leads to such familiarmonologues (自言自语) as: “Get up, John! You’ll be late for work again!” The possible explanation to the trouble is that John is at his temperature-and-energy peak in the evening. Much family quarrelling ends when husbands and wives realize what these energy cycles mean, and which cycle each member of the family has. You can’t change your energy cycle, but you can learn to make your life fit it better. Habit can help, Dr. Kleitman believes. Maybe you’re sleepy in the evening but feel you must stay up late anyway. Counteract (对抗) your cycle to some extent by habitually staying up later than you want to. If our energy is low in the morning but you have an important job to do early in the day, rise before your usual hour. This won’t change yo ur cycle, but you’ll get up steam (鼓起干劲) and work better at your low point.Get off to a slow start which saves your energy. Get up with a leisurely yawn and stretch. Sit on the edge of the bed a minute before putting your feet on the floor. Avoid the troublesome search for clean clothes by laying them out the night before. Whenever possible, do routine work in the afternoon and save tasks requiring more energy or concentration for your sharper hours.62. If a person finds getting up early a problem, most probably ________.A. he is a lazy personB. he refuses to follow his own energy cycleC. he is not sure when his energy is lowD. he is at his peak in the afternoon or evening63. Which of the following may lead to family quarrels according to the passage?A. Unawareness of energy cycles.B. Familiar monologues.C. A change in a family member’s energy cycle.D. Attempts to control the energy cycle of other family members.64. If one wants to work more efficiently at his low point in the morning, he should ________.A. change his energy cycleB. overcome his lazinessC. get up earlier than usualD. go to bed earlier65. You are advised to rise with a yawn and stretch because it will ________.A. help to keep your energy for the da y’s workB. help you to control your temper early in the dayC. enable you to concentrate on your routine workD. keep your energy cycle under control all dayBHere is some must-know information from a handbook on how people behave in doing business in some countries.In BrazilBrazilians are warm and friendly. They often stand close when talking and it is common for them to touch the person on the shoulder. People often greet each other (particularly women) with light cheek kisses. Schedules tend to be flexible, with business meetings sometimes starting later than planned. But to be safe, be on time. Meals can stretch for hours—there’s no such thing as rushing a meal in Brazil. Lunches also can start in the mid to late afternoon. Brazilians are social, preferring face-to-face communication over mails or phone calls.In SingaporeSingaporeans shake hands when they meet and often also greet each other with a small, polite bow. Business cards should be offered and received with two hands. Arriving late is considereddisrespectful. So be on time. Efficiency(效率) is the goal, so meetings and dealings often are fast-paced. Singaporeans are direct in their discussions, even when the subject is about money. Rank is important and authority is respected. This determines both people interact in meetings. For example, people avoid disagreeing outright with someone with a higher rank.In the United Arab EmiratesIn the UAE, status is important, so the most senior or oldest should be greeted first with their titles. The handshake seems to be longer than elsewhere. So, do not pull away the handshake. Women should cover themselves when it comes to dress. Men also tend to be covered from neck to elbows(肘部) and down to the knees. People do not avoid entertaining in their homes, but they also hold business meals at restaurants. Touching or passing food or eating with your left hand is to be avoided. When meetings are one-to-one, if your host offers you coffee, you should refuse. It might seem odd, but it is a cultural tradition. Coffee should only be accepted if it is always set out or presented.In SwitzerlandThe Swiss tend to be formal and address each other by last name. They also are respectful of private lives. You should be careful not to ask about personal topics. Punctuality (守时) is vital, something that comes from a deep respect for others’ time. Arrive at any meeting or event a few minutes early to be safe. They also have clear structure in their companies. Higher-ups make the final decisions, even if others might disagree. Neat, clean dress is expected. The Swiss follow formal table manners. They also keep their hands visible at the table and their elbows off the table. It is polite to finish the food on your plate.66. The passage is mainly about ________.A. communication typesB. the workplace atmosphereC. customs and social mannersD. living conditions and standards67. Why do Singaporeans avoid arguing with their boss?A. They put efficiency in the first place.B. They dislike face-to-face communication.C. They want to finish meetings as quickly as possible.D. They are supposed to obey the person of a higher rank.68. In the UAE, when should you refuse the coffee if it is offered?A. When greeting seniors.B. When meeting the host alone.C. When attending a presentation.D. When dining with business partners.69. In which country do people care about where to put their hands at the dinner table?A. In Brazil.B. In Singapore.C. In the United Arab Emirate.D. In Switzerland.C.Generosity in the genes?HAPPY to help or too selfish to share – some scientists wonder whether generosity lies in our upbringing or in our genes.In a social science experiment carried out in an Israeli children’s playroom, 136 children aged 3 and 4 years old were given six sets of colorful stickers. They were told: “You can keep all of the stickers, or you can give some to another child yo u don’t know. He doesn’t have any stickers.” Researchers then asked the children to step into the playroom one at a time and watched how they behaved.About two thirds of the children chose to give one or more sets of stickers to an unknown child. The others refused to share. Researchers found that many of this second group of children had something in common: a variation (变异) in a gene known as A VPR1A. This gene is supposed to control a chemical in the brain responsible for social behavior. The genetic variant (变体) of this gene can make people a lot less willing to share.This study was published last month in the online scientific journal PLoS One. It suggested that children can be altruistic (无私的) and genetics may play a role.But social scientists point out environmental influences from home, school and the wider world may play a larger role in creating good or bad habits. Studies using brain scans have shown that when someone is being generous or is described as generous, his or her brain will give off a kind of chemical. This chemical is linked to positive feelings. “If (parents) tell a kid he is a generous person, he is more likely to act generously again than if they buy him a toy,” said Nancy Eisenberg, an Arizona State University psychology professor, to The Wall Street Journal.Social scientists also say that as people grow up and develop stronger ideas of morality and fairness, their generosity will increase.Referring to the Israeli study, Emmanuel College psychologist Joyce Benenson says to the Wall Street Journal, that even at 3 or 4 years old, “If you’ve got six packs of something, you know that giving away one isn’t really changing what you have.” Of the 136 children in the Israeli study, the largest group gave away one sticker; the second largest group gave away none. Only twenty-two children gave away more than one sticker.70. According to the article, the experiment _________.A. studied more than 100 children aged between 13 and 14B. gathered all the children in a room to watch their behaviorC. found that one third of the children were unwilling to shareD. asked the children to share stickers with their friends71. What was newly discovered by the experiment?A. A variation of a gene can influence people’s soc ial behavior.B. More than half of the kids were considered to be selfish.C. Generous behavior can make a child feel good.D. Children are less generous than adults expect.72. What can we conclude from the article?A. Genes play a major role in deciding whether people are generous.B. As children grow, economical responsibility can stop them from sharing with others.C. Both genes and social environment influence whether people are generous.D. Parents could try giving toys to kids to encourage them to be generous.73. Who might be more generous according to the article?A. Those with an A VPR1A gene.B. Those growing up in rich families.C. Those who receive college education.D. Those growing up in a sharing environment.Section C 8%Directions: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.Separating myth from facts can be tricky. What you thought to be good hair care advice might turn out to be a mistaken belief. Check out the following hair care rumors and whether they are true ornot.Myth 1: frequent trims ( 修剪 ) make hair grow faster.Truth: More trims will not make your hair grow faster. No matter how much you want to make your hair grow at rapid speed, hair only grows about one centimeter per month whether you cut your dry ends off or not.Myth 2: Stress makes my hair fall out and never grow back.Truth: On average, a person can lose between 50 and 120 strands (根) of hair per day naturally. Nevertheless, severe stress can lead to more hair loss. The stress may be caused by major life changes like divorce, loss of job or surgery. After the stress factor calms down, the hair will certainly start to grow back within a couple of weeks.Myth 3: Switching shampoos frequently makes my hair healthier.Truth: Shampoos are designed to target different kinds of hair to help with their problems. But hair cannot tell the difference between brands nor build up a tolerance to a shampoo. Using the correct shampoo for your hair is the key to maintaining healthy hairMyth 4: If I pluck ( 拔 ) one gray hair out, two or three will sprout in its place.Truth: You might just get a little depressed that you have gray hair! But, the good news is if you pluck the gray hair out, more will not grow back. However, it is still a bad habit. When you pluck out a hair, it damages the root, which can cause infection. The best way is to leave the unwanted hair alone.Myth 5: If I have an oily scalp( 头皮 ), I should skip using conditioner.Truth: Conditioner will not add to your oil problem. Greasy ( 油腻的 ) hair is actually caused by an over production of the scalp ’s natural sebum( 皮脂 ). Using a moisturizing ( 补水 ) product or a heavy conditioner will not add to the greasy look. Conditioner is used in the hair to help close the hair cuticle (表皮) and keep it healthy and strong through the day, so try using a conditioner from the middle of the hair to the tips.74. What does the underlined word “myth ” mean?75. According to the author, severe stress can lead to more hair loss. What are the main reasonsthat may cause people greatly stressed?76. Why can ’t we pluck gray hair out according to the author?77. “__________________” may be the proper good title of the passage.The second partI. Translation 21%Directions: Translate the following sentences into English, using the words given in the brackets.1. 在一个庞大的组织中良好的沟通极为重要。
2014年唐山一中高一数学第一学期期中试卷有答案
2014年唐山一中高一数学第一学期期中试卷（有答案）说明：1.考试时间120分钟，满分150分。
2.将卷Ⅰ答案用2B 铅笔涂在答题卡上,将卷Ⅱ答案答在答题纸上。
3.Ⅱ卷答题纸卷头和答题卡均填涂本次考试的考号，不要误填学号，答题卡占后５位。
卷Ⅰ(选择题 共60分)一．选择题（本大题共12小题，每小题5分，共60分． 在每小题给出的四个选项中，只有一选项是符合题目要求的．） 1．设全集U 是实数集R ，}22{-<>=x x x M 或，}13{<≥=x x x N 或都是U 的子集，则图中阴影部分所表示的集合是 ( ) A ．}12{<≤-x x B ．}22{≤≤-x x C ．}21{≤<x x D ．}2{<x x 2. 下列函数中与函数x y =相等的函数是( )A.2)(x y =B.2x y =C.x y 2log 2=D.x y 2log 2= 3．函数2y =的值域是( )A ．[2,2]-B ．[1,2]C ．[0,2] D．[ 4．函数y kx b =+与函数kby x=在同一坐标系中的大致图象正确的是（ ）5．已知函数()⎩⎨⎧≤>=.0,2,0,log 3x x x x f x 则⎥⎦⎤⎢⎣⎡⎪⎭⎫⎝⎛271f f 的值为( )A ．81 B ．4 C ．2 D ．41 6. 下列函数中既是偶函数又在)0,(-∞上是增函数的是( ) A ．34x y = B ．23x y = C ．2-=xy D ．41-=xy7．已知函数25,1,()11, 1.x ax x f x x x ⎧-+<⎪=⎨+≥⎪⎩在R 上单调，则实数a 的取值范围为 A ．(,2]-∞ B ．[2,)+∞ C ．[4,)+∞ D ． [2,4]8. 已知()f x 是定义在R 上的偶函数，且在(],0-∞上是增函数，设()4log 7a f =，)3(log 2f b =，()0.60.2c f =，则,,a b c 的大小关系是( )A ．c b a <<B ．b c a <<C ．b a c <<D ．a b c << 9. 设函数321()2x y x y -==与的图象的交点为),(00y x ，则0x 所在的区间是( )A ．(0,1)B ．(1,2)C ．(2,3)D ．(3,4)10. 设)(x g 为R 上不恒等于0的奇函数，)(111)(x g b a x f x⎪⎭⎫ ⎝⎛+-=(a ＞0且a ≠1)为偶函数，则常数b 的值为( ) A ．2B ．1C ．21 D ．与a 有关的值11. 若)(x f 是R 上的减函数，且)(x f 的图象经过点)4,0(A 和点)2,3(-B ，则当不等式3|1)(|<-+t x f 的解集为)2,1(-时，t 的值为( )A. 0B. －1C. 1D. 212．已知函数)(x f y =满足：①是偶函数)1(+=x f y ；②在[)+∞,1上为增函数,若0,021><x x ,且221-<+x x ,则)(1x f -与)(2x f -的大小关系是( )A.)()(21x f x f ->-B. )()(21x f x f -<-C. )()(21x f x f -=-D. 无法确定卷Ⅱ(非选择题 共90分)二．填空题（本大题共4小题，每小题5分，共20分．）13. 22log 33223127-2log log 3log 48⨯+⨯计算:＝____________. 14．7()2f x ax bx =+-，若10)2014(=f ，则)2014(-f 的值为 ．15．已知()()212log 3f x x ax a =-+在区间[)2,+∞上为减函数，则实数a 的取值范围是____________.16.定义在R 上的函数()f x ，如果存在函数()(,g x kx b k b =+为常数），使得()f x ≥()g x 对一切实数x 都成立，则称()g x 为()f x 的一个承托函数.现有如下命题：①对给定的函数()f x ，其承托函数可能不存在，也可能无数个； ②()g x =2x 为函数()2x f x =的一个承托函数； ③定义域和值域都是R 的函数()f x 不存在承托函数；其中正确命题的序号是____________.三．解答题（本大题共6小题，共70分。
2014-2015新人教版七年级数学第一学期期中考试试题(含答案)
福泉奥林匹克学校2014—2015学年度第一学期期中质量检测试题七年级数学（考试时间100分钟，满分120分）一、选择题（每小题3分，共30分）1、2-等于（ ）A ．－2B ．12- C ．2 D ．122、如果向东走5km 记作5km +，那么3km -表示（ ）km km km km3、下列方程中,属于一元一次方程的是 （ ） A.021=+xB.62=+y xC.13=xD.312=-x 4、下列各组数中，互为相反数的是（ ）A ．)1(--与1B ．（－1）2与1C ．1-与1D ．－12与15、数轴上的点M 对应的数是－2，那么将点M 向右移动4个单位长度，此时点M 表示的数是（ ）6、有理数a ，b 数轴上的位置如图所示，则 （ ）A.0a b >>B. 0b a >>C. 0a b <<D. 0b a <<7、某粮食加工厂，原来每月加工大米n 吨,改进生产工艺后每月增产20%，则改进工艺后每月可加工大米( ) 吨。
A.(120%)n -B. (120%)n +C. 20%n +D. 20%n8、一根1米长的绳子,第一次剪去一半,第二次剪去剩下的一半,如此下去,共剪了8次，此时剩下的绳子的长度为()。
A.126()米B.71()2米C.81()2米D.91()2米9、下列说法正确的是 （ ） A.32abc 与32ab 是同类项 B.212m n 与212n m 是同类项 班别： 姓名： 学号：baC.3212x y 和732y x 是同类项D.2y 和12y 是同类项 10、有理数a 、b 在数轴上的位置如图所示，则化简a b a b -++的结果为 ( ) A.2a - B. b 2 C.2a D.2b -二、填空题（每小题4分，共24分 ）11、甲、乙、丙三地的海拔高度分别是20 m 、-15 m 、-5 m ，那么海拔最高的地方比海拔最低的地方高_______m 。
河北省石家庄市第一中学-2014学年高一数学上学期期中试题新人教A版
河北省石家庄市第一中学2013-2014学年高一数学上学期期中试题新人教A版第Ⅰ卷一、选择题：本大题共10小题；每小题5分，共50分．在每小题给出嘚四个选项 中，只有一项是符合题目要求嘚，每小题选出答案后，请填涂在答题卡上． 1.已知集合{}10A x x =->，{}2xB yy ==，则AB =A.{}1x x > B.{}0x x > C. {}1x x <- D.∅2.下列函数中既是奇函数，又是在(0,)+∞上为增函数嘚是 A.1y x x=+B.y x =C.3y x =- D.lg 2x y = 3.方程3log +3x x =嘚解所在嘚区间为A.(0,1)B. (2,3)C. (1,2)D. (3,+)∞ 4.下列函数中与y x =为同一函数嘚是A.2x y x= B. 3log 3x y = C. 2()y x = D.2y x =5.若函数2()1f x ax x a =-++在(,2)-∞上单调递减，则a 嘚取值范围是A. 0⎛⎤ ⎥⎝⎦1，4 B.[)2,+∞ C. 0⎡⎤⎢⎥⎣⎦1，4 D. 0⎡⎤⎢⎥⎣⎦1，26．若函数3(1)xy b =+-嘚图象不经过第二象限，则有A ．1b <B ．0b ≤C ．1b >D ．0b ≥7．设实数30.1231log ,2,0.92a b c ===，则a b c 、、嘚大小关系为A ．a c b <<B ．c b a <<C ．b a c << D. a b c <<8．规定,(0)a b ab a b ab *=++≥ ，则函数()1f x x =*嘚值域为A. [1,)+∞B. )1,0(C. ),1(+∞D. [0,)+∞ 9.已知221,0,0x y x y +=>>，且log (1)a x m +=，1log 1a n x=-，则log a y 等于 A.m n + B. m n - C.1()2m n + D. 1()2m n -10.若函数()1(0,1)1x mf x a a a =+>≠-是奇函数，则m 为 A.1- B.2 C.1 D.2-第Ⅱ卷二、填空题：本大题共4小题，每小题5分，共20分， 答案填在答题纸相应嘚空内．三、解答题：本大题共4小题，共50分．请将解答过程书写在答题纸上，并写出文字说明、证明过程或演算步骤．15.（本小题满分12分） 已知集合2()x A xf x x R x ⎧⎫-⎪⎪==∈⎨⎬⎪⎪⎩⎭，，集合{}B x x a =>. (1)若1a =,求()RB A ;(2)若A B B =,求a 嘚取值范围.16.（本小题满分12分）一种放射性元素，最初嘚质量为500g ，按每年20%衰减.（1）求*(0,)t t t N >∈年后，这种放射性元素嘚质量y 与t 嘚函数关系式； （2）求这种放射性元素嘚半衰期（质量变为原来嘚12时所经历嘚时间）.（lg 20.3≈）17.（本小题满分13分）已知函数()1(01)x a f x a a a -=+>≠且，恒过定点(2,2)．（1）求实数a ；（2）在（1）嘚条件下，将函数)(x f 嘚图象向下平移1个单位，再向左平移a 个单位后得到函数)(x g ，设函数)(x g 嘚反函数为)(x h ，直接写出)(x h 嘚解析式；（3）对于定义在(0,4)上嘚函数)(x h y =，若在其定义域内，不等式2[()2]()1h x h x m +>-恒成立，求实数m 嘚取值范围．18.（本小题满分13分）若函数()f x 为定义域D 上嘚单调函数,且存在区间[],a b D ⊆(其中)a b <,使得当[],x a b ∈时,f x是D上嘚正函数,区间[],a b叫做函数嘚等域区间.f x嘚取值范围恰为[],a b,则称函数()()2013—2014学年度高一第一学期期中考试 数学参考答案及评分标准三、解答题： 15．（本小题满分12分）解：（1） {}02A x x =<≤ ………3分(){}=01RB A x x <≤ ………6分（2）A B B =∴A B ⊆， ………8分 0a ∴≤. ……12分 16．（本小题满分12分） 解：（1）最初嘚质量为500g ，经过1年，500(120%)5000.8y =-=⨯ ………… 2分 经过2年，22500(120%)5000.8y =-=⨯经过t 年，500(120%)5000.8tty =-=⨯ ………… 6分 （2）解方程5000.8250t⨯= ………… 8分 两边取常用对数lg0.8lg0.5t = ……… 10分 lg 20.333lg 2130.31t --==-⨯-=即这种放射性元素嘚半衰期约为3年. …………12分 17．（本小题满分13分） 解：（1）由已知2122aa a -+=∴=． …………2分（2）2()21()2x x f x g x -=+∴=2()log (0)h x x x ∴=> ……4分（3）222(log 2)log 1x m x +>-在(0,4)恒成立∴设2log (04)t x x =<< 且2t <2(2)1t tm ∴+>- 即：2(4)+50t m t +->，在2t <时恒成立. …6分18.（本小题满分13分）解：(1) []0,1 ……2分(2)假设存在m ，使得函数2()g x x m =+是(,0)-∞上嘚正函数，且此时函数在(,0)-∞上单调递减∴存在[],(,0)a b ⊆-∞使得：22a m bb m a⎧+=⎪⎨+=⎪⎩ （*） ……4分两式相减得1a b +=- ，代入上式：即关于a 嘚方程 210a a m +++=在1(1,)2--上有解 ……8分 方法①参变分离：即21m a a =---令21()1((1,)2h a a a a =---∈--），所以3()(1,)4h a ∈-- ∴实数m 嘚取值范围为3(1,)4m ∈-- ……13分方法②实根分布：令2()1h a a a m =+++，即函数嘚图像在1(1,)2--内与x 轴有交点，1(1)()02h h ∴--<，解得3(1,)4m ∈--方法③ ：（*）式等价于方程210x x m +++=在(1,0)-上有两个不相等嘚实根14(1)010m m ∆=-+>⎧∴⎨+>⎩ 3(1,)4m ∴∈--。
2014年上期高一期中试题
柏梓中学高2016级2014年上期期中考试数 学 试 题 卷一、选择题1．已知集合{}{}032,422<--=<=x x x N x x M ，则集合=N M ( )A ．)2,(--∞B ．),3(+∞C ．)2,1(-D ．)3,2(2．已知等差数列﹛n a ﹜中，53=a ，4115=a ，则公差=d ( ) A ．4 B ．3 C ．5 D ．2 3．若b a c b a >∈,R 、、，则下列不等式成立的是( ) A ．ba 11< B ．22b a > C ．1122+>+c b c a D ．||||c b c a > 4．在ABC ∆中，bc c b a -+=222，则A 等于（ ） A ．0120 B ．060 C ．045 D ．0305．已知a R ∈，不等式31x x a-≥+的解集为P ，且2P -∉，则a 的取值范围是 ( )A ．3a >-B ．32a -<<C ．2a >或3a <-D ．2a ≥或3a <-6．在ABC ∆中，a ，b ，c 分别为角A ，B ，C 所对边，若C b a cos 2=，则此三角形一定是（ ） A ．等腰直角三角形 B ．直角三角形 C ．等腰三角形 D ．等腰或直角三角形 7．设数列11,,321,211++⋅⋅⋅++n n ，n n S S n 则项和为的前,⋅⋅⋅等于（ ） A ．n n -+1 B ．n n ++1 C ．11-+n D ．11++n 8．在等差数列{n a }中，的值为则2019181784,3,1a a a a S S +++==（ ） A ．4 B ．5 C ．6 D ．79．数列{}n a 满足⎩⎨⎧-=+1221n n n a a a 121210<≤<≤nn a a ，若761=a ，则2014a 的值为（ ）A ．76 B ．75 C ．73 D ．71 10．在R 上定义运算:(1)x y x y ⊗⊗=-，若不等式1)()(<+⊗-a x a x 对任意实数x 成立成立，则（ ） A ．1322a -<< B ．02a << C ．11a -<< D ．3122a -<< 二、填空题 11．不等式01xx <-的解集是___________ 12．若数列{}n a 满足：111,2()n n a a a n N *+==∈，则前6项的和6S = .（用数字作答） 13．在△ABC 的内角A 、B 、C 的对边分别为a 、b 、c ，若2=a ，32=c ，3π=C ，则=b14．在等差数列{}n a 中，20131-=a ，其前n 项和为n S ，若210121012=-S S ，则2013S 的值等于 15．一船以每小时15km 的速度向东航行，船在A 处看到一个灯塔B 在北偏东060，行驶４h 后，船到达C 处，看到这个灯塔在北偏东015，这时船与灯塔的距离为 三、解答题16．设}{n a 是公差大于0的等差数列，21=a ，10223-=a a . （1）求}{n a 的通项公式；（2）设}{n b 是首项为1，公比为2的等比数列，求数列}{n n b a +的前n 项和n S17．已知集合{}2120A x x x =--<，集合{}0822>-+=x x x B ，集合{}034|22<+-=a ax x x C （1）求()R AC B（2）若)(B A C ⊇，试确定实数a 的取值范围18．在△ABC 中，BC =a ，AC =b ，a 、b是方程220x -+=的两个根，且120A B +=，求△ABC 的面积及AB 的长.19．数列{}n a 中，18a =，42a =，且满足2120n n n a a a ++-+=（1）求数列的通项公式； （2）设12||||||n n S a a a =+++，求n S 。
1001-复旦附中高一期中考(2014.11)
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复旦附中 2014 学年高一上学期数学期中试卷
（时间 90 分钟，满分 120 分） 一. 填空题（每小题 4 分，共 44 分） 1. 用列举法表示集合 A a 【答案】 1, 2,3, 4 ； 【解析】由
6 N* , a Z _______. 5a
k 2 k2 2 k k 4 ，解之 2 k 3 ；或 k 2 k 4 ，解之 0 k 2 .综上 k 0,3 . 2 2 k 2 k 2
18.（本题满分 10 分）已知 P x 1
x 1 2 ， Q x x 2 2 x 1 m2 0 ，其中 3 m 0 ，全集 U R ，若“ x U P ”是“ x U Q ”的必要不充分条件，求实数 m 的取值
三. 解答题（共 6 大题，满分 60 分） 16.（本题满分 8 分）解关于 x 的方程：
1 2 x 2x 3 2 . 4
x 1.5 x 1.5 【解析】 1 2 或 1 2 ，解之 x 2 或 x 4 2 3 . x 2 x 3 2 x 2 x 3 2 4 4
10, ， U Q x x2 2 x 1 m2 0 ，
令 x 2 2 x 1 m2 0 的根为 x1 , x2 x1 x2 ，则必有 x1 2 10 x2 ， 解之 m , 9
【解析】设 Px m ，
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2014-2015学年度第一学期七年级期中测试数学试卷
七年级数学期中试题 （第 1 页 共 6 页） 2014-2015学年度第一学期期中检测 七年级数学试题
（全卷共120分，考试时间90分钟）
注意事项：
1．答卷前将答卷纸上密封线内的项目填写清楚． 2．用钢笔或圆珠笔（蓝色或黑色）按要求．．．答在．．相应位置．．．．上．，否则不得分．．．．．．
一、选择题 (每题3分,共24分，每题只有一个正确答案，请填写在答题栏内) 1．21的相反数是 A．21 B．21 C． 2 D．－2 2．如果汽车向东行驶30米记作+30，那么—20米表示 A．向东行驶20米 B．向西行驶20米 C．向南行驶20米 D．向北行驶20米 3．在227, , 0, 0.12122122212222…四个数中，有理数的个数为 A．1 B．2 C．3 D．4 4．下列各式中，结果为负数的是 A．)3( B．2)3( C．)2()3( D．|3| 5．单项式 的系数是 A．25 B．25 C．25 D．25 6．下列不．属于．．同类项的是
A．22xy与212yx B．1与－3 C．2ab与2210ab D．213mn与2mn 7．下列去括号正确．．的是 A．a＋(－3b＋2c－d)＝a－3b＋2c－d B．－(－x2＋y2)＝－x2－y2 C．a2－(2a－b＋c)＝a2－2a－b＋c D．a－2(b－c) ＝a＋2b－c
225xy
七年级数学期中试题 （第 2 页 共 6 页） b a 0
（第15题图）
8．如图，边长为（m+3）的正方形纸片剪出一个边长为m的正方形之后，剩余部分可剪拼成一个长方形（无缝隙，不重叠），若拼成的长方形一边长为3，则另一边长是
A．m＋3 B．m＋6 C．2m＋3 D．2m＋6 二、填空题（每小题3分，共24分，，请把正确答案填写在答题栏内）
9．在我国南海某海域探明可燃冰储量约有194亿立方米，这个数据194亿立方米可以用科学记数法表示为 ▲ 立方米． 10．在整式：①ab；②294x；③35x；④8.0；⑤12x中，单项式有 ▲ 个． 11．比x的3倍小2的数是 ▲ ．
上海市普陀区宜川中学2014学年第一学期期中考试
宜川中学2014学年第一学期期中考试高三数学 试卷 2014.11考生注意：1.答题前,考生务必用钢笔或圆珠笔清楚填写班级,姓名和准考证号2.本试卷共有23道试题,答案写在答题纸上,写在试卷上无效3.本试卷共4页,考试时间120分钟,试卷满分150分一、填空题（每小题4分，共56分）1.设全集{}0,1,2,3U =，{}20A x x mx =+=，若{}1,2U A =ð，则实数m = . 2、若数列{}n a 对任意的*N n ∈都有11n n a a a +=+，且36a =，则20a = . 3、如果1cos 3α=，且α是第四象限的角，那么3cos 2πα⎛⎫+= ⎪⎝⎭.4、不等式()120x x ->的解集为 .5、若函数2,0(),0,0x x f x a x x b x ->⎧⎪==⎨⎪+<⎩是奇函数，则a b += .6、若函数(arcsin )1y f x x ==-，则()3f π= .7、已知x 是1,2,3,,5,6,7x 这七个数据的中位数，且1,3,,x y -这四个数据的平均数为1，则1y x-的取值范围是 . 8、已知120121nn n n n n x a x a x a a x a ---⎛=+++++ ⎝⎭，若214a =，则3n a -= .9、已知函数()12log ,40()2cos ,0x x f x x x π⎧--≤<⎪=⎨⎪≤≤⎩，若方程()f x a =有解，则实数a 的取值范围是 . 10、已知直线,32x x ππ==都是函数()()()sin 0,y f x x ωϕωπϕπ==+>-<≤的对称轴，且函数()f x 在区间,32ππ⎡⎤⎢⎥⎣⎦上单调递减，则ϕ= .11、从天空降落到地面上的雨水，未经蒸发、渗透、流失而在平面上积聚的水层深度，我们称为降水量（以毫米为单位），它可以直观地表示降雨的多少，目前，测定降雨量常用的仪器包括雨量筒和量杯，雨量筒是内径为20厘米的圆柱形容器，量杯是内径为4厘米的圆柱形容器，为了测量某次降雨量的大小，在雨前将雨量筒置于室外承接雨水，雨后将水倒入量杯中，测得杯中的睡眠高度 为10厘米，则这次降雨量为 毫米12、在正项等比数列{}n a 中，30.5a =，673a a +=，则满足12312+++n n a a a a a a a +>的最大正整数n 的值为 .13、如图，在平面直角坐标系xoy 中，一单位圆 的圆心的初始位置在()0,1，此时圆上一点P 的 位置在()0,0，圆在x 上沿正向滚动，当圆滚动 到圆心位于()2,1时，OP 的坐标为 .14、已知二次函数2()2f x ax x a =++，对于满足12x x <且121x x a +=-的任意实数1x 与2x ，总有12()()f x f x <成立，则实数a 的取值范围为 . 二、选择题；（每小题5分，满分20分） 15、“0x ≠”是“0x <”的（ ）16、设a 为非零实数，则关于2()+1f x x a x =+，R x ∈的一下性质中，错误的是（ ）17、已知集合{}1,2,3,4,5A =，若,,x y z A ∈，则,,x y z 成等差数列的概率为（ ）A.13125B.18125C.9125D.812518、定义在()1,+∞上的函数()f x 同时满足下列两个条件：（1）对任意的()1,x ∈+∞恒有(2)2()f x f x =成立，（2）当(]1,2x ∈时，()2f x x =-，记函数()()()1g x f x k x =--，若函数()g x 恰有两个零点，则实数k 的取值范围是 （ ）A. (]1,2B. 4,23⎛⎤ ⎥⎝⎦C. 4,23⎛⎫ ⎪⎝⎭D. 4,23⎡⎫⎪⎢⎣⎭A.充分非必要条件B.必要非充分条件C.充要条件D.既非充分又非必要条件A.函数()f x 一定是偶函数B.函数()f x 一定没有最大值C.区间[)0,+∞一定是()f x 的单调递增区间D.函数()f x 不可能有三个零点13第题图三、解答题（解题过程中要有必要步骤，共5大题，满分74分） 19、（本题满分12分） 设函数()2()lg 2f x x x =--的定义域为集合A ，函数()g x =的定义域为集合B ，已知:,x AB α∈，:x β满足20x p +<，且α是β的充分条件，求实数p 的取值范围。
甘肃省兰州一中2014届高三数学上学期期中试题 文 新人教版
数学试题(文科)本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，满分150分， 考试时间120分钟. 请将答案填在答题卡上.第Ⅰ卷（选择题 共60分）注意事项：1. 答题前，考生务必用黑色碳素笔将自己的某某、某某号、考场号、座位号在答题卡上填写清楚，并请认真核准条形码上的某某号、某某、考场号、座位号及科目，在规定的位置贴好条形码.2．每小题选出答案后，用2B 铅笔把答题卡上对应题目标号涂黑，如需改动，用橡皮擦干净后，再选择其它答案标号，在试卷上答案无效.一、选择题：本大题共12小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的. 1. 设集合22{|20,},{|20,}M x x x x R N x x x x R =+=∈=-=∈，则MN =( )A . {0}B . {0,2}C . {2,0}-D . {2,0,2}-2. 若复数z 满足(34)43i z i -=+，则z 的虚部为 （ ）A ．45-B ．45C ．4-D ．43. 若3sin 5α=，α是第二象限的角，则tan 2α的值为（ ） A .247B . 247-C . 724D . 724- 4. 已知向量(3,1),(0,1),(,3)a b c k ==-=,若2a b -与c 共线，则k 的值为 ( )A .1B .1-C .2D . 2-5. 若函数()f x 为R 上周期为5的奇函数，且满足(1)1,(2)2f f ==，则(3)(4)f f -= （ ）A .2-B . 2C . 1-D .16.“0a ≤”是“函数()(1)f x ax x =-在区间(0,)+∞内单调递增”的 ( )A ．充分不必要条件B ．必要不充分条件C ．充要条件D ．既不充分也不必要条件7. 设函数1()ln (0)3f x x x x =->，则()y f x =（ ）A ．在区间1(,1)e ， (1,)e 内均有零点B ．在区间1(,1)e ， (1,)e 内均无零点C ．在区间1(,1)e 内有零点，在区间(1,)e 内无零点D ．在区间1(,1)e内无零点，在区间(1,)e 内有零点8. 设123log 2,ln 2,5a b c -===则 ( )A .a b c <<B . b c a <<C . c a b <<D . c b a <<9. 函数cos(2)()y x ϕπϕπ=+-≤<的图象向右平移2π个单位后，与函数sin(2)3y x π=+的图象重合，则ϕ的值为 ( )A .56πB . 56π-C . 6πD . 6π- 10. 设,,a b c 是单位向量，且0a b ⋅=，则()()a c b c -⋅-的最小值为 ( )A 1B . 1.D . 11. 已知函数()cos sin 2f x x x =，下列结论中错误的是 （ ）A .()y f x =的图象关于点(,0)π中心对称B . ()y f x =的图象关于直线2x π=对称C . ()f xD . ()f x 既是奇函数，又是周期函数12. 已知函数()(ln )f x x x ax =-有两个极值点，则实数a 的取值X 围是 （ ）A . (,0)-∞B . (0,)+∞C . (0,1)D . 1(0,)2第Ⅱ卷（非选择题 共90分）注意事项：本卷共10小题，用黑色碳素笔将答案答在答题卡上.答在试卷上的答案无效.二、填空题：本大题共4小题，每小题5分，共20分.13．已知向量(2,1),10,52a a b a b =⋅=+=，则b =_ _.14. 若函数()sin (0)f x x ωω=>在区间[0,]3π上单调递增，在区间[,]32ππ上单调递减，则ω=.15. 若存在正数x ，使2()1xx a -<成立，则a 的取值X 围是. 16. 在平面直角坐标系xOy 中，设定点(,)A a a ，P 是函数1(0)y x x=>图象上一动点.若点,P A 之间的最短距离为，则实数a 值为.三、解答题：本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤.17.(本小题满分10分)设函数1()log (1)1axf x a x+=>-. （Ⅰ）判断()f x 的奇偶性；（Ⅱ）当[0,1)x ∈时，()f x m ≥恒成立，某某数m 的取值X 围．18.（本小题满分12分）设向量(3sin ,sin ),(cos ,sin ),[0,]2a x xb x x x π==∈.（Ⅰ）若,a b =求x 的值；（Ⅱ）设函数()f x a b =⋅，求()f x 的值域.19.（本小题满分12分）已知函数2()()4xf x e ax b x x =+--，曲线()y f x =在点(0,(0))f 处的切线方程为44y x =+.（Ⅰ）求,a b 的值； （Ⅱ）求()f x 的极大值.20.（本小题满分12分）在ABC ∆中，内角,,A B C 的对边分别为,,a b c ，已知cos 2cos 2cos A C c aB b--=.（Ⅰ）求sin sin CA的值；（Ⅱ）若1cos ,24B b ==，求ABC ∆的面积S .21．（本小题满分12分）如图，游客从某旅游景区的景点A 处下山至C 处有两种路径.一种是从A 沿直线步行到C ，另一种是先从A 沿索道乘缆车到B ，然后从B 沿直线步行到C .现有甲、乙两位游客从A 处下山，甲沿AC 匀速步行，速度为min /50m .在甲出发min 2后，乙从A 乘缆车到B ，在B 处停留min 1后，再从B 匀速步行到C .假设缆车匀速直线运动的速度为min /130m ，山路AC 长为m 1260，经测量，1312cos =A ，53cos =C . （Ⅰ）求索道AB 的长；（Ⅱ）问乙出发多少分钟后，乙在缆车上与甲的距离最短？ （Ⅲ）为使两位游客在C 处互相等待的时间不超过3分钟， 乙步行的速度应控制在什么X 围内？22．（本小题满分12分）已知函数()ln ,(0,]f x ax x x e =-∈，ln (),xg x x=其中e 是自然常数,.a R ∈（Ⅰ）讨论1a =时，()f x 的单调性； （Ⅱ）求证：在（Ⅰ）条件下1()()2f xg x >+； （Ⅲ）是否存在实数,a 使()f x 的最小值是3,若存在，求出a 的值；若不存在，说明理由.某某一中2013-2014-1学期期中考试 高三数学试题参考答案（文科）一、选择题（本题共12小题，每小题5分，共60分。
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2014学年预备第一学期期中复习卷一 班级 学号 姓名 得分 一、填空（本大题共11题，第1小题每题1分，其余每题2分，共30分） 1、 请认真想一想，再直接写出结果 (1) 12141276 (2) 75.041=______ (3)______1133 (4)21143 (5) ______8323 (6) 5111_____68 (7) 625=________(化为小数) (8) 0.25=_____(化为分数) (9) 52米=（ ）厘米 (10) 40分=（ ）小时 2、 分解素因数：18＝ 3、 求12和30的最大公因数是 求12和18的最小公倍数是__________ 4、 在数14、20、32、45、230中，既能被2整除，又能被5整除的数有 5、 将107，0.75，85按从小到大的顺序排列是_________________ 6、 在分数89，1232，54，961中，不能化成有限小数的分数是________________ 7、 写出数轴上点A、点B所表示的分数：A ；B
8、六（1）班有50人，女生占全班人数的 25 ，男生有__________人 9、看图列式： 航模小组人数______________________ 10、小明8天阅读了一本书的47 ，小杰6天阅读了同一本书的35，小明平均每天阅读这本书的 （填几分之几）；他比小杰看得 （填“快”或“慢”） 11、将一个蛋糕看成整体1，小丽和妈妈吃了这块蛋糕的31．现小丽想把余下的蛋糕平均分成5份，取其中的4份带到学校分给她的四个好朋友吃，剩下的留给她爸爸吃，小丽带到学校去的蛋糕是整个蛋糕的_________ 二、请认真读一读，再选择（本大题共5题，每题2分，满分10分） 12、下列说法正确的是（ ） （A）因为3.6÷1.2 = 3，所以我们可以说3.6被1.2整除 （B）所有的素数都是奇数 （C）任何一个自然数都至少有两个不同的因数 （D）两个相邻的奇数一定互素 13、下列说法正确的个数有（ ）个 ①小于45 而大于25 的分数只有35 一个；②与41相等的分数有无数个；③如果x8 是假分数，x10 是真分数，那x一定是9；④真分数的倒数一定大于1；⑤假分数的倒数一定小于1。
（A）1 （B）2 （C）3 （D）4 14、在0.75、4560、1520、916、3044、3942这些数中与34相等的有（ ）个 （A）3 （B）4 （C）5 （D）6 15、一根绳子15米，截去它的31后，再接上31米，这时绳子的长度是（ ）
（A）15米 （B）315米 （C）3113米 （D）3110米 16、94的分子加上12，要使原分数大小不变，分母应加( ) （A）12 （B）27 （C）36 （D）45 三、请认真比一比，再计算（每题4分，共16分）
17、2131221585 18、3953453
19、25.0125)415.2(43 20、解方程：512382x 四、请认真看一看，再做以下简答题（每题5分，共15分） 21、用短除法求36和60的最大公因数和最小公倍数 否 乘以35 23？
加上12
输入
减去12 输出
是
22、列式计算： 43与211的和减去最小的正整数，差是多少？ 23、根据右边的流程图回答下列问题 （1） 输入54后，得到的输出结果是___________． （2） 如果输出的结果是34，请你推测输入的数可能是哪些？ ________________
五、解答题（24题6分，25题7分，26，27题各8分，共29分） 24、六年级某班一次数学成绩如下图所示，请根据图中的信息回答下列问题。 （1）成绩在80分以上(含80分)的同学人数是全班人数的几分之几？ （2）及格人数占全班的几分之几？ （3）不及格人数是及格人数的几分之几？
25、小丽过生日和妈妈去买蛋糕，店里有豪华包装和简易包装两种，简易包装的价格为每个78元，是一个豪华包装价格的35。由于质量是相同的，所以妈妈买了简易包装的两个，那么，与买两个豪华包装相比较，妈妈节省了多少元钱？ 26、国庆节期间，小丽一家外出旅游，回来后，妈妈统计了这次旅游支出的情况，部分结果如表中所示（费用单位：元）。试根据所给数据，计算住宿和购物的费用分别是多少元？并计算购物费用占总支出的几分之几？（列式计算）
27、阅读理解题：分子为1的分数叫做单位分数．早在三千多年前，古埃及人就利用单位分数进行书写和计算．将一个分数分拆为几个不同的单位分数之和是一个古老且有意
义的问题．例如：2141424142143； 216163616316432
（1）仿照上例分别把分数85和53分拆成两个不同的单位分数之和． 8
5
5
3
（2）在上例中，214143，又因为316162616216321，所以： 31614143，即43可以写成三个不同的单位分数之和．按照这样的思路，它也可以
写成四个，甚至五个不同的单位分数之和．根据这样的思路，探索分数85能写出哪些两个以上的不同单位分数的和？（写对一个得1分，满分4分）
类别 交通 住宿 用餐 门票 购物 费用 240 280 260
费用占总支出 的几分之几 254 51 2010学年度第一学期六年级期中考试参考答案 一、填空（本大题共11题，第1小题每题1分，其余每题2分，共30分） 1、（1）212 （2）1（3）1182（4）2（5）43（6）2744（7）0.24（8）41（9）40（10）32 2、332 3、6；36 4、20，230 5、75010785. 6、961 7、431；852 8、30 9、4525 10、141；慢 11、158 二、选择题（本大题共5题，每题2分，满分10分） 12、D 13、B 14、A 15、D 16、B 三、计算（每题4分，共16分）
17、2131221585 18、3953453 21312211585231121-21558114-21871118分
……分分分 19、25.0125)415.2(43 20、解方程：512382x
分分分分148173481611351627141254943141125412543
分分287821828821272852213xxxx
21、„„„„„„„„„„„„„„3分 36和60的最大公因数是12„„„„„„„„„„„„1分 最小公倍数是180„„„„„„„„„„„„„„„„1分
分分分1123-413559-34322、31113423211112444分分 23、（1）41；„„3分；（2）1225、125„„2分（写1个得1分） 24、解：（1）全班（2+3+16+12+9）=42（人）214221422142912„„„„1分 答：成绩在80分以上(含80分)的同学人数是全班人数的21„„„„„„1分 （2）21204240424042242„„„„„„„„„„„„„„„„„„„„1分 答：及格人数占全班的2120„„„„„„„„„„„„„„„„„„„„„„„1分 （3）201402402„„„„„„„„„„„„„„„„„„„„„„„„„„1分 答：不及格人数是及格人数的201„„„„„„„„„„„„„„„„„„„1分
25、解：分（元）分113035378 分元2104278-130( （方法不同，酌情给分）
答：妈妈节省了104元。„„„„„1分 26、解：全部费用：)(元1500254240„„1分 （方法不同，酌情给分） 住宿：（元）300511500„„„„2分 购物：（元））（320260280300240-1500„„2分
751615003201500320„„„„„„2分
答：住宿和购物的费用分别是300元和320元，购物费用占总支出的7516„„1分 27、解：（1）2181848185；„„„„2分
2110110510110653„„2分
（2）61318185；61411218185；61413611818185；
61413612715418185（答案不唯一，1个1分，满分4分）
（解题方法若不相同可相应给分，以上答案如有错误，请自行修改，谢谢！）