期中考试专题训练六
专题06《火车过桥问题》(解析)
2022-2023学年专题卷小升初数学行程问题精选真题汇编强化训练（提高）专题06 火车过桥问题考试时间：100分钟；试卷满分：100分一．选择题（共5小题，满分5分，每小题1分）1．（1分）（2014•新都区）一列火车长200米，以每分钟1200米的速度经过一座大桥，从车头进到车尾出一共用了2分钟．求桥的长度是多少米？正确的算式是（）A．1200×2+200 B．1200×2﹣200C．（1200+200）×2 D．（1200﹣200）×2【思路点拨】从车头上桥到车尾离开桥一共用2分钟，则火车等于是跑了桥的全长加车的长度，于是，我们用2分钟所行驶的距离再减去车长200米就是桥的长度．【规范解答】解：1200×2﹣200＝2400﹣200＝2200（米），故选：B．【考点评析】解答此题的关键是知道：火车过桥走过的路程＝桥长+车身长，再根据基本的数量关系解决问题．2．（1分）（2021秋•曲阳县期中）一列火车长150米，这列火车全部通过780米长的隧道要用30秒，这列火车每秒运行（）米。
A．21 B．26 C．31【思路点拨】火车通过隧道要行驶的路程是隧道长度与火车长度的和，先算出火车行驶的路程，再用这个路程除以通过隧道用的秒数，求出火车每秒运行多少米。
【规范解答】解：（150+780）÷30＝930÷30＝31（米）答：这列火车每秒运行31米。
故选：C。
【考点评析】此题重点考查解决行程问题中求速度的问题，解答时应注意，通过隧道火车行驶的路程是隧道长度与火车长度的和。
3．（1分）（2019•利州区）一座桥长2000米，一列火车以每秒20米的速度通过这座桥，火车车身长200米、则火车从上桥到离开桥需要（）秒．A．110 B．100 C．90 D．85【思路点拨】从车头上桥到车尾离开桥所走路程为：2000+200＝2200（米），于是，我们所行驶的距离除以火车的速度，就是所用时间．【规范解答】解：（2000+200）÷20＝2200÷20＝110（秒）答：火车从上桥到离开桥需要110秒．故选：A。
文体文学常识与传统文化(解析版)-2021-2022学年八年级下册语文期中考试高频考点专题训练
【答案】D
【解析】
A.《最后一次讲演》的语言慷慨激昂，而不是风趣幽默；
B.《大道之行也》表达了作者对理想社会的美好憧憬。提出了“教学相长”的观点的是《虽有嘉肴》；
B. 《诗经》是我国最早的诗歌总集，这些诗歌分为风、雅、颂三个部分，其中“风” 是指“国风”，是各地的民歌，为贵族文人所作。
C. 《苏菲的世界》是挪威作家乔斯坦·贾德创作的一部引人入胜的小说，也是一部通俗而有趣的哲学启蒙读物。
D. 黄发垂髫指的是老人和小孩，很多古人对年龄的称呼，都与头发有关。除了黄发垂髫外，还有总角、束发、及笄、弱冠等。
6. 下列各项中表述有误的一项是（ ）
A. 《社戏》选自鲁迅散文集《朝花夕拾》，体裁是散文，以作者少年时代的生活经历为依据，写了“我”二十年来看戏的经历。
B. 《诗经》是我国最早的一部诗歌总集，收录了从西周初年至春秋中叶五百多年的诗歌305篇，又称《诗三百》。
C. 《大雁归来》全文运用拟人的手法表达了作者对大雁的喜爱，体现了一位环境保护主义者的深切思考。
【答案】A
【解析】
A．有误，《社戏》是一篇小说，出自鲁迅的小说集《呐喊》。
10. 下列说法有误的一项是（ ）
A. 忽如一夜春风来，千树万树梨花开。（这句话采用了比喻的修辞手法。）
B. 一串串宝石般的水珠飞腾着，飞腾着，突然失足跌落深潭里。（这句话采用了比喻、拟人和反复的修辞手法。）
C. 《礼记》，战国至秦汉间儒家论著的汇编，相传是东汉经学家戴圣编纂的，《虽有嘉肴》出自《礼记·礼运》。
汉字的读音与书写(含答案)七年级下册语文期中考试高频考点专题训练
11.下列各项中，加点字注音完全正确的一项是（ ）
A. 咀嚼（jué）奠基（diàn） 呜咽（yàn）酣然入梦（hān）
B.哺育（bǔ）亘古（gèn） 污秽（huì）锲而不舍（qì）
C. 震悚（sǒng）憎恶（zēng）诘问（jié）苛捐杂税（kē）
C. 有一个战士，他手里还紧握着一个手榴弹，弹体上沾满脑浆；和他死在一起的美国鬼子，脑浆迸（bìng）裂，涂了一地。
D. 耳朵里又不可捉摸的声响，像春蚕在咀嚼（jiáo）桑叶，像野马在平原上奔驰，像山泉在呜咽（yè），像波涛在澎湃。
16. 下列词语中没有错别字的一项是（ ）
A. 深宵 并蒂莲 浩浩荡荡 妇儒皆知
D.哺育（pǔ）晌午（shǎng） 咳嗽（sou） 锋芒毕露（lù）
9.下列词语中加点字 读音完全正确的一项是（ ）
A.校补（xiào）挚痛（zhì）可汗（kè） 气冲斗牛（dòu）
B.侮辱（wú）殷红（yān）亘古（gèng）锲而不舍（qiè）
C. 呜咽（yè） 怪诞（dàn）漂白（piǎo）鲜为人知（xiǎn）
2021-2022学年七年级下册语文期中考试高频考点专项练习
考点1 汉字的读音与书写
1. 下列加点字的注音完全正确的一项是（ ）
A. 草率（shuài） 选聘（pìnɡ） 深恶痛绝（wù）
B. 元勋（xūn）薪金（xīn）锲而不舍（qiè）
C.殷红（yīn）秩序（zhì） 气冲斗牛（dǒu）
D.迭起（diě）彷徨（pánɡ）兀兀穷年（wù）
C. 在那亘（gèng）古的地层里，有着一股燃烧的洪（hóng）流。
D. 我将用我的泪水，洗去她一切的污秽（suì）和耻（chǐ）辱。
期中模拟试题1-2022-2023学年七年级上册语文期中考试高频考点专题训练(原卷版)
11. 两首诗歌都展现了美好的情景。第二首诗歌的情景中，有榔声、歌声，可能还有人们晒网时交谈的声音。如果第一首诗歌的情景中也有声音，哪两种声音最恰当？请简要描绘这个情景。（3分）
5. 下面说法有误的一项是( ) （2分）
A.比喻的基本类型有明喻、暗喻、借喻三种。“理想是肥皂，洗濯你的自私心。”这一句属于暗喻。
B. 随着“双减”政策的正式发布, 一场前所未有的“双减”之战正在席卷全国。句中的“前所未有”指以前从来没有过，用在这里恰当。
C.古人交往中有谦辞和敬辞的区别，“惠顾”“赐教”“垂爱”就是敬辞，“见谅”“小女”“奉陪”就是谦辞。
C.匿笑（nì） 皂荚（jiá） 蝉蜕（tuì） 三省（xǐng）吾身
D. 确凿（záo） 收敛（liǎn）憔悴（jiāo） 博学笃志（dǔ）
2. 下列词语中，没有错别字的一项是（ ）（2分）
A. 嘹亮 诀别 分岐 水波鳞鳞B. 瘫痪 云霄 攲斜 人迹罕至
C. 骄媚 贮蓄 委屈 截然不同D. 荫蔽 搓捻 高邈 翻来复去
E.沈从文的《湘行散记》这部散文集，创作于1934年初，是他构建“文学湘西”世界的一块重要拼图。
8. 古诗默写（10分）
（1）日月之行，若出其中。_____________，____________。（曹操《观沧海》）
（2）_______________，落花时节又逢君。（杜甫《江南逢李龟年》）
（3）遥怜故园菊，__________________。（岑参《行军九日思长安故园》）
（6）______________，_______________。不知何处吹芦管，一夜征人尽望乡。（李益《夜上受降城闻笛》）
（2021·江苏江阴华士片期中）9. 综合性学习。（4分）
江苏地区牛津8年级下册期中考试任务型专题训练6篇(一空一词,提高版,有答案)
江苏地区牛津8B期中考试任务型专题训练R-1Scientists said that in the past 100 years, as the global(全球的) temperatures went up by 0.74℃, the temperature in North China has climbed 1.4℃ in only 50 years.China needs to cut down carbon dioxide(二氧化碳) emission(排放)，because it can make the global warm. The good news is that China has seen the importance of going green. China has decided to cut energy use down by 20% and pollution emission by 10% in the 11th Five-Year Plan.Can you slow down global warming? Sure! You and your family can take some steps.Here are some pieces of advice to help you save the earth.Wear used clothes.It means that you save the energy when you wear your brother’s, sister’s or dad’s old T-shirts.Change your light bulbs(灯泡). Use energy-saving light bulbs. And don’t forget to turn off the lights when you leave a room and turn off your television and computer when you don’t need them.Take a bus. Taking a bus saves a lot of oil(石油) every year.Say no to plastic bags. The next time your parents go to the market, ask them to use baskets.Open the windows.Don’t use the air conditioner(空调). Let some fresh air in. When you have to use the conditioner, set the temperature higher in summer and lower in winter to save energy.Do students often play sports? We can usually get positive (肯定的) answers. But why should students play sports? Some think that students play sports in order to have good health. Others think it’s a good way to help students have fun. But is that enough? No! If students play sports, they can get more than healthy bodies. Why? Here are three more reasons.The good news for the students who play sports is that it can be helpful in school. Some people think that doing exercise will take up students’ study time. But a recent study has shown that students who play sport s get better scores in school than those who don’t. Exercise gets students to learn, remember things better and have better focus (注意力).Students who play sports often work together well and can solve (解决) some problems. When they are working together with others to win games and reach goals, they’re learning how to be very successful in practice. And these skills will be useful to them for study or their work in the future.Playing sports can also improve confidence (信心). Students who play sports feel better about themselves. When they know they can improve and reach their goals by practicing, it builds their confidence. And sports can also help them communicate with others actively and make new friends.Now, how about going out to play sports with your friends every day?R-3World Sleep Day, on 21st March, was created to bring attention to the growing number of sleep problems. Many people in the modern world don’t realize sleep is very important. As a result, sleep problems are quite common.In 2011, scientists in Greece did a survey of over 35,000 people in 10 countries. Among the people, 24 percent said that they did not sleep well. 31.6 percent were diagnosed(诊断) with insomnia(失眠). 30.7 percent of them have gone to see the doctor with sleep problems and 11.6 percent said that they felt very sleepy during the day.The survey found that many people suffer the effects of poor quality sleep, some examples can’t fall asleep and often wake up in the middle of the night. The main reasons of the problems are pressure(压力) from school or work and a fast pace(节奏) of life, but noise pollution and lightpollution also affect sleep and cause poor quality sleep. The survey also found that large numbers of people find it hard to sleep at night. They fel t tired and couldn’t focus on something. If this happens for a long time, the risk of gaining weight and having a heart attack may increase.There are many things you can do to improve the quality of your sleep. First, you should have regular sleep habits. Try to go to bed and wake up around the same time each day. At night, you should not drink anything with caffeine, such as chocolate, coffee and tea.Getting a good night's sleep is important for everyone. By following the advice above, you can rest better at night and work better during the day.Nearly every parent says that we never grow up. In fact, we are maybe 13 or 14 years old. In their eyes, we are always little ones and always do wrong things. For example, when I need to stay at home alone, they always worry about me and my life without them.Most parents always think that they have offered the best things they can to make their children live in a comfortable world. They buy their children pretty clothes, cool shoes, expensive school things, and always a thousand-yuan-cost bike. They think that they have done everything they can for their dear children. In return, they only want their children to work hard and do well in the examinations.But why their children still can’t understand them? Does it mean that they still want more material things? No. As a matter of fact, what they want is a true family. What does a true family mean? I think it means a place where we can hide ourselves from the outside cold world. From here, we can get warmth, we can get consolation（安慰）, and we can get happiness. And one important thing is that we should be stronger and more confident in the outside world because we know that we have a family.So I think that parents should sit down to talk with their child to let them know that they have a true family, so the children and their parents can understand each other better and better. Then, no children will be regarded as a little ones.R-5A speaker was giving a speech to his student on what to do with stress(压力). He held up a glass of water and asked the students, “How heavy do you think this glass of water is?” The students’ answers were different，from 20g to 500g.“It does not matter on the exact weight. It depends on(取决于) how long you hold it. If I hold it for a minute, it is OK. If I hold it for an hour, I will have an ache in my right arm. If I hold it for a day, you will send me to the hospital. It is the same weight, but the longer I hold it, the heavier it becomes.”“If we carry our burdens(负担) all the time, we will not be able to carry on, because the burden is becoming heavier and heavier. What you have to do is to put the glass down, have a rest for a while and then hold it up again.”We have to put down the burden sometimes, so that we can cheer up and are able to carry on. So before you return home from work tonight, put the burden of work down. Don’t carry it back home. You can pick it up tomorrow.Whatever burdens you are having now on your shoulders, let it down for a moment if you can.Life is short, enjoy it!It’s important to develop the healthy habits in your daily life. The following will help you become healthier and keep perfect shape.Eat properly. A healthy diet is very important for everybody. Breakfast is the most important meal in a day. Doctors suggest that students’ breakfast should include fruit, eggs, milk, rice or noodles, because these can offer them necessary energy, help them listen carefully in class and keep them healthy. Eat enough for lunch and little for supper. But remember that too much sugar is bad for your teeth and blood. You shouldn’t have too many sweet snacks and desserts in your diet, even though such food tastes delicious.Keep off germs(病菌). Daily tooth cleaning reduces the amount of germs which will spread diseases. Germs in the mouth are likely to enter the blood and cause illness, even heart disease. Even if you’ re not sick, always remember to cough or sneeze into your arms instead of your hands because hands can spread germs to others when you touch something else. Besides, washing hands is necessary after going to the toilet or before having a meal. And you’d better rub both hands while washing them.Exercise regularly. Regular exercise can improve your moods and balance. What’s more, it’s good for bones. There are many forms of exercise: walking or running for about 30 minutes a day playing ball games twice or three times a week, swimming or dancing often. You can choose your favorite to practise regularly. You will not only feel energetic(精力充沛的) but also think better after doing exercise.Stay connected （联系）. Having regular communication with friends is the key to reducing stress(减少压力).And sharing happiness and sadness, exchanging information with others can also help improve memory. Having a friend or a circle of friends can help you feel good.答案：R-11.reason2. advice3. use4. shopping5. lessR-21.Why2.healthy3.helpful4.better5.more6.skills7.suceess8.futuremunicaiton10.suggestions R-31. importance2. 243. asked4. Reasons5. sleep6. affect7. able8.tired9.Ways/How 10.withoutR-41.parents’2.mistakes3.results/points/grades4.meaning5.How R-51.weight2. time3. doctor4.unable5. before6.advice R-61.ways2.provide3. harmful4.necessary5.spreading6. Exercising7. energetic8. lessmunicate10.improving。
外研版(2024)七年级上册英语期中专题训练∶根据汉语提示完成句子(含解析)
2024年外研版七年级上册英语期中专题训练∶根据汉语提示完成句子1．他很喜欢音乐，并且学会了弹钢琴。
He liked music very much and learned to .2．在西方国家，周日是一周中的第一天。
In Western countries, Sunday is of a week.3．陈洁在商店里买了一些礼物。
Chen Jie bought some in the shop.4．盒子里有一双鞋子。
There is in the box.5．安迪很高兴在羽毛球俱乐部结交新朋友。
Andy is really happy to in the badminton club.6．在冬天，人们通常把花放在室内，以保护它们免受寒冷天气的伤害。
In winter people usually keep flowers indoors to them the cold weather. 7．你的音乐老师是怎样的？your music teacher8．如果你环顾四周，你会发现路边有许多野花。
If you , you will find a lot of wild flowers by the side of the roads.9．他们正在打篮球还是排球？Are they basketball volleyball10．我经常使用我的手机搜索有用的信息。
I often use my mobile phone to useful information.11．我整个周末都待在家睡觉了。
I at home all weekend and .12．穿过森林，你能发现一座山。
the forest, and you can find a hill.13．——你周末做什么？——我经常弹吉他。
—What do you do on weekends—I often .14．他指出我的错误，然后我意识到我错了。
专题06 一元二次方程解答题压轴训练-2020-2021学年八年级数学下学期期末考试压轴题专练(浙教
专题06 一元二次方程解答题压轴训练一、解答题1．（2019·浙江八年级期末）某商场销售一批名牌运动衫，平均每天可售出20件，每件盈利40元．为了扩大销售，增加盈利，并且尽量减少库存，商场决定采取适当的降价措施．经调查发现，每件运动衫售价每降价1元，商场平均每天可多售出2件，设每件运动衫降价x 元．（1）填空：降价后的每件运动衫盈利为________元，平均每天可售出________件（请用含x 的代数式表示）；（2）若商场每天要盈利1200元，则每件运动衫应降价多少元？2．（2021·浙江八年级月考）已知：方程22210x kx k -+-=是关于x 的一元二次方程． （1）判断此方程根的情况，并说明理由；（2）若a ，b ，c ，ABC 的三边，5c =，且a ，b 是一元二次方程22210x kx k -+-=的两根．k 何值时，ABC 是等腰三角形，并写出等腰三角形的底边．3．（2021·杭州市建兰中学八年级期中）如图，利用一面墙（墙长25米），用总长度49米的橱栏（图中实线部分）围成一个矩形围栏ABCD，且中间共留两个1米的小门，设选栏BC长为x米．（1）AB＝米（用含x的代数式表示）；（2）若矩形围栏ABCD面积为210平方米，求橱栏BC的长；（3）矩形围栏ABCD面积是否有可能达到240平方米？若有可能，求出相应x的值；若不可能，则说明理由．4．（2020·宁波外国语学校八年级期末）象山红美人柑橘是我省农科院研制的优质品种，宁波市某种植基地2017年种植“象山红美人”100亩，到2019年“象山红美人”的种植面积达到196亩．（1）求该基地这两年“象山红美人”种植面积的平均增长率；（2）市场调查发现，当“象山红美人”的售价为45元/千克时，每天能售出200千克，售价每降价1元，每天可多售出50千克，为了推广宣传，基地决定降价促销，同时减少库存，已知该基地“象山红美人”的平均成本价为33元/千克，若使销售“象山红美人”每天获利3150元，则售价应降低多少元？5．（2020·义乌市荷叶塘初级中学八年级月考）等腰△ABC的直角边AB=BC=10cm，点P 、Q 分别从A 、C 两点同时出发，均以1cm/秒的相同速度作直线运动，已知P 沿射线AB 运动，Q 沿边BC 的延长线运动，PQ 与直线AC 相交于点D ．设P 点运动时间为t ，△PCQ 的面积为S ．（1）求出S 关于t 的函数关系式；（2）当点P 运动几秒时，S △PCQ =S △ABC ？（3）作PE△AC 于点E ，当点P 、Q 运动时，线段DE 的长度是否改变？证明你的结论．6．（2020·浙江杭州市·）设m 是不小于1-的实数，关于x 的方程()2222330x m x m m +-+-+=有两个不相等的实数根后12,x x ．（1）若22126x x +=，求m 值；（2）令121211mx mx T x x =+--，求T 的取值范围．7．（2020·浙江绍兴市·八年级其他模拟）新定义：如果一个角形的三条边长为a ，b ，c ，假设其大小关系为a b c ≤≤，同时满足2222a c b +=，我们就称这样的三角形为奇异三角形，例如等边三角形就是一个奇异三角形．（1）判断边长分别为2，4的三角形是否为奇异三角形，并说明用理由；（2）如图1，Rt ABC 为奇异三角形，90C ∠=︒，3AB =，且BC AC <，求AC 的长；（3）如图2，在奇异三角形ABC 中，BC AC AB <<，2AC =，点D 是AC 边上的中点，连结BD ，BD 将ABC 分割成2个三角形，其中ADB △是奇异三角形，BCD △是以CD 为底的等腰三角形，求AB 的长．8．（2019·浙江八年级月考）如图，在平面直角坐标系中，四边形OABC 的顶点O 是坐标原点，点A 在第一象限，点C 在第四象限，点B 在x 轴的正半轴上.90OAB ∠=︒且OA AB =，OB ，OC 的长分别是一元二次方程211300x x -+=的两个根（OB OC >）.（1）求点A 和点B 的坐标.（2）点P 是线段OB 上的一个动点（点P 不与点O ，B 重合），过点P 的直线l 与y 轴平行，直线l 交边OA 或边AB 于点Q ，交边OC 或边BC 于点R ，设点P 的横坐标为t ，线段QR 的长度为m .已知4t =时，直线l 恰好过点C ，当03t <<时，求m 关于t 的函数关系式.（3）当 3.5m =时，请直接写出点P 的坐标.9．（2019·浙江金华市·八年级期中）如图1，已知平行四边形ABCD ，BC △x 轴，BC ＝6，点A 的坐标为（1，4），点B 的坐标为（﹣3，﹣4），点C 在第四象限，点P 是平行四边形ABCD 边上的一个动点．（1）若点P 在边CD 上，BC ＝CP ，求点P 的坐标；（2）如图2，若点P 在边AB ，AD 上，点P 关于坐标轴对称的点Q 落在直线y ＝﹣x +1上，求点P 的坐标；（3）若点P 在边AB ，AD ，BC 上，点E 是AB 与y 轴的交点，如图3，过点P 作y 轴的平行线PF ，过点E 作x 轴的平行线E ，它们相交于点F ，将△PEF 沿直线PE 翻折，当点F 的对应点落在坐标轴上时，求点P 的坐标．（直接写出答案）10．（2019·浙江八年级月考）如图，在平面直角坐标系中，四边形OABC 的顶点O 是坐标原点，点A 在第一象限，点C 在第四象限，点B 在x 轴的正半轴上．△OAB =90°且OA =AB ，OB ，OC 的长分别是一元二次方程211300x x -+=的两个根（OB ＞OC ）．（1）求点A 和点B 的坐标．（2）点P是线段OB上的一个动点（点P不与点O，B重合），过点P的直线l与y轴平行，直线l交边OA或边AB于点Q，交边OC或边BC于点R．设点P的横坐标为t，线段QR的长度为m．已知t=4时，直线l恰好过点C．当0＜t＜3时，求m关于t的函数关系式．（3）当m=3.5时，请直接写出点P的坐标．。
外研版七年级下册期中考试专题训练之补全对话(含答案)
外研版七年级下册期中考试专题训练之补全对话专练补全对话（一）A: ________1B: I'd like to be the PE monitor.A: ________2B: I'm good at playing basketball and I'm the player in the school team.A: You're great!B: ________3A: Me? I want to be the cleaning monitor.B: What can you do?A: ________4B: Sounds great! Good luck to you!A: Thank you! ________5B: OK.答案：DAECB补全对话（二）Mr Li：Betty, welcome to our class.Betty：Hello，everyone！________1Wang Lin：Nice to meet you，too.My name is Wang Lin.Can you speak Chinese，Betty? Betty：________2 But I can speak English well.Wang Lin：I speak Chinese very well and I can teach you.________3Betty：No，I cannot swim.My father can swim.Wang Lin：________4Betty：My father works in a factory.He is an excellent worker.Wang Lin：My father is a worker，too.Betty：Really？________5Wang Lin：She is a manager in a hotel.答案：CDABF补全对话（三）A：Hi，Wang Mei! What is your plan for the weekend?B：_______________________________________________________1A：To Beijing? ___________________________________________________2 B：We're going to visit the Palace Museum and the Great Wall.A：_________________________________________________________3B：By plane.A：That sounds great. ______________________________________________4 B：On Friday evening.What's your plan，Liu Ying?A：________________________________5 We're going to have a test next week.答案：1.I'm going to Beijing with my parents.2．What are you going to do there?3．How are you going there？4.When are you going to leave?5．I have to go over lessons.补全对话（四）A：Welcome to I COOL，YOU COOL，madam.Can I help you?B：________1A：This way，please.These are the latest fashion.________2B：It looks cool.But I don't like bright green.A：We've got other colors：pink，grey，red and yellow._______3B：Pink.Could you show me that pink one?A：________4And it's very thick.B：I like it.________5A：It was 100 dollars and now it's only 80 dollars.B：OK.I'll take it.答案：EGACD补全对话（五）A：Oh, look! I like that blue sweater. ________1B：Twenty dollars. Oh, I like these red socks.A：_______2B：Do you like this Tshirt?A：Mmm, yes, I do. But it's ten dollars.B：Oh, how much is the green sweater?A：________3 But you have a green sweater. ________4 B：Yes. How much are they?A：Only sixteen dollars.B：OK. ________5答案：DBEAC补全对话（六）Jim:1.Are they yours?Kate:Oh,no.2.Mine are black.Jim:Then whose are they?Kate:You can ask Lucy.3.Jim:Excuse me,Lucy!4.Lucy:Oh,yes.They are mine.Jim:5.Lucy:OK.Thank you.Jim:You’re welcome.答案：DEABC补全对话（七）A:1.B:No,I am going to revise for my test.A:Do you know what Tony is going to do at the weekend? B:He is going to Hainan.A:Really? 2.B:He’s going to take the plane.A:3.B:He’s going to do some sightseeing in Hainan.A:4.B:For five days.A:I see.B:5.A:I’m going to visit my grandparents.答案：CAFEB。
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一、选择题：高二下学期期中考试专题训练六姓名：____________ 班级：____________1．【云南2013三测】在复平面内，复数11 -i+i3对应的点位于（）A．第四象限 B．第三象限 C．第二象限 D．第一象限2.【烟台 2013 一测】某厂将原油精炼为汽油，需对原油进行冷却和加热，如果第 x 小时,原油温度（单位：℃）为f(x)=1 3x3-x2+8(0£x£5), ，那么原油温度的瞬时变化率的最小值为()A．8B． 203C．-1D．-83.【山东 2013 高三 11 月质检】已知 a > 0 函数 f (x) = x3 - ax 在[1,+¥) 是单调增函数，则 a 的最大值是 ( )A.0B.1C.2D.34．若 P = a + 7 - a + 4, Q = a + 3 - a , (a ³ 0) ，则 P, Q 的大小关系是( )A． P > QB． P = QC． P < QD．由 a 的取值确定5.【山西 2013 高三二诊断】曲线 y = ex在点(2, e2 ) 处的切线与坐标轴所围成的三角形的面积为 ()A． e2B． 2e2C． 4e2D． e2 26.【山东 2013 一质测】若 a>0,b>0,且函数 f (x) = 4x3 - ax 2 - 2bx - 2 在 x=1 处有极值，则 ab 的最大值（ )A.2B.3C.6D.97.【山西】设 f (x) = x(ax2 + bx + c)(a ¹ 0)在x = 1和x = -1处有极值，则下列点中一定在 x 轴上的是 （ ）A． (a,b)B． (a, c)C． (b, c)D． (a + b, c)8.【天津 2012-2013 学年高三年级一月考】定义域为{x Î R | x ¹ 2} 的函数 y = f (x) 满足 f (4 - x) = f (x) ，(x - 2) f ¢(x) < 0 ，若 x1 < x2 ，且 x1 + x2 > 4 ，则 （ ）.A． f (x1) < f (x2 )B. f (x1) > f (x2 )C. f (x1) = f (x2 ) D. f (x1) 与 f (x2 ) 的大小不确定二、填空题：9.【北京2013学年高三第一学期联考】若曲线y=3 2x2+x-1 2的某一切线与直线y=4x+ 3 平行，则切点坐标为，切线方程为．10.【玉溪 2013 第四次月考】已知函数 f (x) = x2 + (m +1)x + 2m 是偶函数，且 f (x) 在 x = 1 处的切线方程为(n - 2)x - y - 3 = 0 ，则常数 m, n 的积等于__________.三、解答题：11. 【北京 2013 高三第一学期联考文】已知 a, b, c Î R+ ，求证：a2+ b2 + c2 3³a+b+c 3。
12. 【陕西 2013 文】已知函数 f (x) = a ln x - bx2 图象上一点 P(2, f (2)) 处的切线方程为 y = -3x + 2 ln 2 + 2 ．（1）求 a, b 的值；（2） 若 方程 f ( x) + m = 0 在 [1e , e] 内 有两个 不 等实根 ， 求 m 的取 值 范围（ 其 中 e 为自 然 对数的 底数，e = 2.71828L）.四、选择题：高二下学期期中考试专题训练六姓名：____________ 班级：____________1．【云南2013三测】在复平面内，复数11 -i+i3对应的点位于（ A）A．第四象限 B．第三象限 C．第二象限 D．第一象限2.【烟台 2013 一测】某厂将原油精炼为汽油，需对原油进行冷却和加热，如果第 x 小时,原油温度（单位：℃）为f(x)=1 3x3-x2+8(0£x£5), ，那么原油温度的瞬时变化率的最小值为(C)A．8B． 203C．-1D．-83.【山东 2013 高三 11 月质检】已知 a > 0 函数 f (x) = x3 - ax 在[1,+¥) 是单调增函数，则 a 的最大值是 ( D )A.0B.1C.2D.34．若 P = a + 7 - a + 4, Q = a + 3 - a , (a ³ 0) ，则 P, Q 的大小关系是( C )A． P > QB． P = QC． P < QD．由 a 的取值确定5.【山西 2013 高三二诊断】曲线 y = ex在点(2, e2 ) 处的切线与坐标轴所围成的三角形的面积为 ( D )A． e2B． 2e2C． 4e2D． e2 26.【山东 2013 一质测】若 a>0,b>0,且函数 f (x) = 4x3 - ax 2 - 2bx - 2 在 x=1 处有极值，则 ab 的最大值（D )A.2B.3C.6D.97.【山西】设 f (x) = x(ax2 + bx + c)(a ¹ 0)在x = 1和x = -1处有极值，则下列点中一定在 x 轴上的是 （ A ）A． (a,b)B． (a, c)C． (b, c)D． (a + b, c)8.【天津 2012-2013 学年高三年级一月考】定义域为{x Î R | x ¹ 2} 的函数 y = f (x) 满足 f (4 - x) = f (x) ，(x - 2) f ¢(x) < 0 ，若 x1 < x2 ，且 x1 + x2 > 4 ，则 （ B ）.A． f (x1) < f (x2 )B. f (x1) > f (x2 )C. f (x1) = f (x2 ) D. f (x1) 与 f (x2 ) 的大小不确定五、填空题：9.【北京2012—2013学年高三第一学期联考】若曲线y=3 2x2+x-1 2的某一切线与直线y=4x+3 平行，则切点坐标为，切线方程为． (1, 2), y = 4x - 210.【玉溪 2013 第四次月考】已知函数 f (x) = x2 + (m +1)x + 2m 是偶函数，且 f (x) 在 x = 1 处的切线方程为 (n - 2)x - y - 3 = 0 ，则常数 m, n 的积等于__________.【答案】 -4六、解答题：11. 【北京 2013 高三第一学期联考文】已知 a, b, c Î R+ ，求证：a2+ b2 + c2 3³a+b+c 3。
【答案】要证，只需证：,只需证：；只需证：只需证：，而这是显然成立的， 所以成立。
12. 【陕西 2013 文】已知函数 f (x) = a ln x - bx2 图象上一点 P(2, f (2)) 处的切线方程为 y = -3x + 2 ln 2 + 2 ． （1）求 a, b 的值；（2）若方程f(x)+m=0在[1 e,e]内有两个不等实根，求 m的取值范围（其中 e 为自然对数的底数，e = 2.71828L）.解：（Ⅰ）f¢(x)=a x-2bx，f¢(2)=a 2-4b，f(2)=aln2-4b．∴a 2-4b=-3，且aln2-4b=-6+2ln2+2．…………………… 2 分解得 a = 2, b = 1．…………………… 4 分（Ⅱ） f ( x) = 2ln x - x2 ，令 h( x) = f (x) + m = 2ln x - x2 + m ，则h¢(x)=2 x-2x=2(1 xx2)，令h¢(x)=0，得x=1（x=-1舍去）．在[1 e,e]内，当xÎ[1 e,1)时，h¢(x)>0，∴h(x) 是增函数；当 x Î[1, e] 时， h¢(x) < 0 ， ∴ h(x) 是减函数 …………………… 6 分则方程h(x)=0在[1 e,e]内有两个不等实根的充要条件是ì ï ïï í ï ïhh h(1 e)£0,(1) > 0 ,(e) £ 0.…………8分ïî即1<m£ 2+1 e2．………………………………… 9 分。