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分层限时跟踪练(十一)(时间：40分钟分值：74分，1～3题每题3分，4～16题每题5分) 1．(2016·黑龙江双鸭山模拟)依次填入下面一段文字横线处的语句，衔接最恰当的一组是()我无意颂扬苦难。
如果允许选择，________，________，________。
________。
________，________。
而且我相信，当他带着这笔财富继续生活时，他的创造和体验都会有一种深刻的底蕴。
①由于它来之不易，绝不会轻易丧失②人性的某些特质，唯有借此机会才能得到考验和提高③我宁要平安的生活，得以自由自在地创造和享受④一旦遭遇，它也的确提供了一种机会⑤一个人通过承受苦难而获得的精神价值是一笔特殊的财富⑥但是，我相信苦难的确是人生的必含内容A．①⑤②④③⑥B．①⑥④②③⑤C．③⑥④②⑤①D．③④⑥①②⑤2．(2015·河南郑州质检)依次填入下面一段文字横线处的语句，衔接最恰当的一组是()________，________。
________，________，________。
________。
山有了水就有了灵气。
①山和水的颜色和谐好看②一条白练从悬崖峭壁挂下③如同一条白龙从绿海中游来，又从红崖上轻轻飞下④丹霞山的绿色是成片的，葱葱茏茏⑤红石与绿色相辉映⑥水流溅在红石上，色泽光亮透明A．④⑤①②⑥③B．①④⑤②⑥③C．④⑤②③⑥①D．⑤②③⑥④①3．(2015·河北邯郸质检)依次填入下面一段文字横线处的语句，衔接最恰当的一组是()当下，有人觉得反腐太严，感叹“官不聊生”。
有这些想法的人的出发点是错误的。
__________。
________。
________。
________，________。
________。
这个典故包含着深刻的兴衰治乱之理。
①他却认为，秦以无道，政苛民怨，高祖因之，可以弘济②诸葛亮治蜀时，颇尚严峻，人多怨叹③知古可以鉴今④而如今“德政不举，威刑不肃”⑤有人劝他学习汉高祖约法三章，“缓刑弛禁以慰其望”⑥所以，应当“威之以法，限之以爵”A．②⑤①④⑥③B．②①⑤③⑥④C．③②⑤①④⑥D．③②①⑤⑥④4．在下面一段文字横线处补写恰当的语句，使整段文字语意完整连贯，内容贴切，逻辑严密。
课时跟踪练9一、选择题1．(2022·汕尾期末)某兴趣小组要配制物质的量浓度为0.1 mol·L－1的NaCl溶液，下列装置中不需要使用的是( )解析：配制0.1 mol·L－1的氯化钠溶液需要用到的仪器有托盘天平、烧杯、玻璃棒、容量瓶和胶头滴管，用不到分液漏斗，故选D。
答案：D2．(2022·中山一中月考)配制一定物质的量浓度的溶液是一个重要的定量实验，下列有关说法正确的是( )A．容量瓶用蒸馏水洗净后，可不经干燥直接用于配制溶液B．配制一定物质的量浓度的稀盐酸时，用量筒量取9.82 mL浓盐酸C．配制1 L 0.1 mol·L－1的NaCl溶液时，用托盘天平称量5.85 g NaCl固体D．定容时，为防止液滴飞溅，胶头滴管紧贴容量瓶内壁解析：容量瓶用蒸馏水洗净后，不需要干燥，因定容时还需要加蒸馏水，故A项正确；量筒的感量为0.1 mL，可量取9.8 mL浓盐酸，无法量取9.82 mL浓盐酸，故B项错误；托盘天平的感量为0.1 g，可称量5.8 g固体，无法称量5.85 g NaCl固体，故C项错误；定容时，胶头滴管要悬空正放，不能紧贴容量瓶内壁，故D项错误。
答案：A3．(2022·佛山南海中学月考)配制500 mL 0.100 mol·L－1的NaCl溶液，部分实验操作示意图如下。
下列说法正确的是( )A．实验中需用的仪器有托盘天平、250 mL容量瓶、烧杯、玻璃棒、胶头滴管等B ．上述实验操作步骤的正确顺序为①②④③C ．容量瓶需要用自来水、蒸馏水洗涤，干燥后才可用D ．定容时，仰视容量瓶的刻度线，使配得的NaCl 溶液浓度偏低解析：配制500 mL 0.100 mol·L －1NaCl 溶液用到的仪器有托盘天平、药匙、烧杯、玻璃棒、500 mL 容量瓶、胶头滴管，A 项错误；配制一定物质的量浓度的溶液的步骤有计算、称量、溶解、转移、洗涤、定容、摇匀等，题图中操作步骤正确的顺序为②①④③，B 项错误；容量瓶用蒸馏水洗净后，由于后面还需要加入蒸馏水定容，所以不必干燥，C 项错误；定容时仰视容量瓶的刻度线，则所加蒸馏水偏多，溶液的体积偏大，溶液的浓度偏低，D 项正确。
课时分层作业(九) Section Ⅲ、Ⅳ(建议用时：35分钟)[语言知识练习固基础]Ⅰ.语境填词A)根据汉语或首字母提示，写出下列语句中所缺单词的正确形式1．Every day we listened to the weather forecast to know the weather.2．From the top you can get a wonderful view of the city.3．Jack hid the letter beneath a pile of papers.4．Can you tell us something about the history of the temple(寺庙)?5．We are looking for someone who is reliable(可信赖的)and hardworking.B)在空白处填入1个适当的单词或括号内单词的正确形式6．The next afternoon Jason went to the office for his papers as usual.7．All bookings made before 12th September will receive free travel insurance (insure)for the entire family!8．However hard he may try，he can't finish it in three days.9．The man dressed (dress)in red is my brother.10．I can hardly wait to see(see) him again.Ⅱ.单句改错(每个句子仅有1处错误)1．The sports meet is be held next Saturday.is后加to 2．—I am going to play basketball after school.—Really？I shall go with you.shall→will 3．We are going to seeing a film after we finish the work.seeing→see 4．As soon as they will arrive，we will tell them all about the event.去掉第一个will 5．If they will go to the theatre，will you decide to go with them？去掉第一个will[高考题型练习提能力]Ⅰ.阅读理解AIf you are planning on travelling，there are a few simplerules about how to make life easier both before and after your journey.First of all，always check and doublecheck departure(出发)time.It is surprising how few people really do this carefully.Once I arrived at the airport a few minutes after ten.My secretary had got the ticket for me and I thought she had said that the plane left at 10：50.When I arrived at the airport，the person at the departure desk told me that my flight was closed.Therefore，I had to wait three hours for the next one and missed an important meeting.The second rule is to remember that even in this age of credit cards(信用卡)，it is still important to have some local money in cash(现金)．Once I arrived at a place at midnight and the bank at the airport was closed.The only way to get to my hotel was by taxi but because I had no dollars，I offered to pay in pounds instead.“Listen！I only take real money！”the driver said angrily.You can imagine how terrible I felt at that moment.The third and the last rule is to find out as much as you can about the weather at your destination before you leave.I feel sorry for some of my workmates who travel in heavy suits and raincoats in May，when it is still fairly cool in London or Manchester，to places like Athens，Rome or Madrid，where it is already beginning to get quite warm during the day.【语篇解读】本文为说明文。
UNIT 9 分层跟踪检测(一)TOPICTALK&LESSON1A级必备知识基础练Ⅰ.单词拼写1.He was the first man to walk in the (外部的) space.2.What’s the best (方法) to solving this problem?3.I paid a visit to the campus,which left me a deep (印象).4.If you’re reading this book,I (认为) you want to be excellent.5.He (置之不理) all the “No Smoking” signs and lit up a cigarette.6.Even if he wins the competition,he is (不大可能的) to get into the national team.7.Our plans need to be (灵活的) enough to cater for the need of everyone.8.You don’t have to (促进) economic growth at the cost of environment.9.He has a competent (搭档) who always organises everything well for him.10.Loving relationships that a child makes will give him an (内部的) sense of security.Ⅱ.单句语法填空1.Climate change threatens the (ee species.2.They decided to drive to York but ended up (get) lost.3.All want to make a good first (impress) in the interview.4.The (argue) seemed to be about who was going to take the cat to the vet.5.She worked hard and performed very well and as a result she (promote) soon.6.If you keep paying too much attention to your inner voice,you risk (miss) important information.7.I use my running time as a time of (reflect),and you should use your alone time similarly if you can.8.The research group produced two reports (base) on the survey,but neither contained any useful suggestions.9.To learn (efficient),you should take partthe learning process actively and reflect what you have learnt.Ⅲ.用方框中所给单词或词组的适当形式完成句子1.I feel that is a difficult subject.2.Breathing is an function of the body.3.I’ve your share of the eers are everything we do.5.As people get older,they will the past.6.Spain has been one of Cuba’s major trading .7.He on some language points before the exam.8.Science fiction is a type of writing thatfantasy.9.At first he refused to admit his fault butapologising.10.He hoped for greater trust between the two nations,more trade,more cultural exchanges—,a lasting peace.Ⅳ.单句写作1.我弄不清这音乐是从哪里传来的。
课时跟踪检测(九) 指数与指数函数一抓基础，多练小题做到眼疾手快 1．函数y ＝2x与y ＝2－x的图象关系是( ) A ．关于x 轴对称 B ．关于y 轴对称 C ．关于原点对称D ．关于直线y ＝x 对称解析：选B 作出y ＝2x 与y ＝2－x＝⎝ ⎛⎭⎪⎫12x 的图象(图略)，观察可知其关于y 轴对称．2．设a ＝22.5，b ＝2.50，c ＝⎝ ⎛⎭⎪⎫12 2.5，则a ，b ，c 的大小关系是( )A ．a >c >bB ．c >a >bC ．b >a >cD ．a >b >c解析：选D a >1，b ＝1,0<c <1，所以a >b >c . 3．已知f (x )＝3x －b(2≤x ≤4，b 为常数)的图象经过点(2,1)，则f (x )的值域为( )A ．[9,81]B ．[3,9]C ．[1,9]D ．[1，＋∞)解析：选C 由f (x )过定点(2,1)可知b ＝2，因为f (x )＝3x －2在[2,4]上是增函数，所以f (x )min ＝f (2)＝1，f (x )m ax ＝f (4)＝9.故f (x )的值域为[1,9]．4．不等式222x x－＋>⎝ ⎛⎭⎪⎫12x ＋4的解集为________． 解析：不等式222x x－＋>⎝ ⎛⎭⎪⎫12x ＋4可化为⎝ ⎛⎭⎪⎫1222x x －>⎝ ⎛⎭⎪⎫12x ＋4，等价于x 2－2x <x ＋4，即x 2－3x －4<0，解得－1<x <4.答案：{x |－1<x <4}5．若函数f (x )＝a x－1(a >0，a ≠1)的定义域和值域都是[0,2]，则实数a ＝________. 解析：当a >1时，f (x )＝a x－1在[0,2]上为增函数， 则a 2－1＝2，∴a ＝± 3.又∵a >1，∴a ＝ 3. 当0<a <1时，f (x )＝a x－1在[0,2]上为减函数， 又∵f (0)＝0≠2，∴0<a <1不成立． 综上可知，a ＝ 3. 答案： 3二保高考，全练题型做到高考达标 1．化简4a 23·b-13÷⎝ ⎛⎭⎪⎫－23a -13b 23的结果为( )A ．－2a 3bB ．－8a bC ．－6a bD ．－6ab解析：选C 原式＝4÷⎝ ⎛⎭⎪⎫－23a ⎛⎫⎪⎝⎭1233——b -1323—＝－6ab －1＝－6a b，故选C.2．(2017·贵州适应性考试)函数y ＝a x ＋2－1(a >0且a ≠1)的图象恒过的点是( )A ．(0,0)B ．(0，－1)C ．(－2,0)D ．(－2，－1)解析：选C 法一：因为函数y ＝a x(a >0，a ≠1)的图象恒过点(0,1)，将该图象向左平移2个单位，再向下平移1个单位得到y ＝ax ＋2－1(a >0，a ≠1)的图象，所以y ＝ax ＋2－1(a >0，a ≠1)的图象恒过点(－2,0)，选项C 正确．法二：令x ＋2＝0，x ＝－2，得f (－2)＝a 0－1＝0，所以y ＝a x ＋2－1(a >0，a ≠1)的图象恒过点(－2,0)，选项C 正确．3．已知函数y ＝kx ＋a 的图象如图所示，则函数y ＝ax ＋k的图象可能是( )解析：选B 由函数y ＝kx ＋a 的图象可得k <0,0<a <1，又因为与x 轴交点的横坐标大于1，所以k >－1，所以－1<k <0.函数y ＝a x ＋k的图象可以看成把y ＝a x的图象向右平移－k 个单位得到的，且函数y ＝a x ＋k是减函数，故此函数与y 轴交点的纵坐标大于1，结合所给的选项，故选B.4．若函数f (x )＝错误!是R 上的减函数，则实数a 的取值范围是( )A.⎝ ⎛⎭⎪⎫23，1B.⎣⎢⎡⎭⎪⎫34，1C.⎝ ⎛⎦⎥⎤23，34 D.⎝ ⎛⎭⎪⎫23，＋∞ 解析：选C 依题意，a 应满足错误! 解得23<a ≤34.5．已知函数f (x )＝错误!则函数f (x )是( ) A ．偶函数，在[0，＋∞)单调递增 B ．偶函数，在[0，＋∞)单调递减 C ．奇函数，且单调递增 D ．奇函数，且单调递减解析：选C 易知f (0)＝0，当x >0时，f (x )＝1－2－x，－f (x )＝2－x－1，而－x <0，则f (－x )＝2－x －1＝－f (x )；当x <0时，f (x )＝2x －1，－f (x )＝1－2x ，而－x >0，则f (－x )＝1－2－(－x )＝1－2x＝－f (x )．即函数f (x )是奇函数，且单调递增，故选C.6．指数函数y ＝f (x )的图象经过点(m,3)，则f (0)＋f (－m )＝________. 解析：设f (x )＝a x (a >0且a ≠1)，∴f (0)＝a 0＝1. 且f (m )＝a m＝3.∴f (0)＋f (－m )＝1＋a －m＝1＋1a m ＝43.答案：437．已知函数f (x )＝a －x(a >0，且a ≠1)，且f (－2)>f (－3)，则a 的取值范围是________．解析：因为f (x )＝a －x＝⎝ ⎛⎭⎪⎫1a x ，且f (－2)>f (－3)，所以函数f (x )在定义域上单调递增， 所以1a>1，解得0<a <1. 答案：(0,1)8．当x ∈(－∞，－1]时，不等式(m 2－m )·4x －2x＜0恒成立，则实数m 的取值范围是________．解析：原不等式变形为m 2－m ＜⎝ ⎛⎭⎪⎫12x ，因为函数y ＝⎝ ⎛⎭⎪⎫12x在(－∞，－1]上是减函数，所以⎝ ⎛⎭⎪⎫12x ≥⎝ ⎛⎭⎪⎫12－1＝2，当x ∈(－∞，－1]时，m 2－m ＜⎝ ⎛⎭⎪⎫12x 恒成立等价于m 2－m ＜2，解得－1＜m ＜2.答案：(－1,2) 9．化简下列各式：(1)⎝ ⎛⎭⎪⎫2790.5＋0.1－2＋⎝ ⎛⎭⎪⎫21027-32－3π0＋3748；(2)3a 72·a －3÷3a －3·a －1.解：(1)原式＝⎝ ⎛⎭⎪⎫25912＋10.12＋⎝ ⎛⎭⎪⎫6427-23－3＋3748＝53＋100＋916－3＋3748＝100. (2)原式＝3a 72·a-32÷3a-32·a-12＝3a 72÷3a -12＝a 76÷a -16＝a 86＝a 43.10．已知函数f (x )＝a |x ＋b |(a >0，b ∈R)．(1)若f (x )为偶函数，求b 的值；(2)若f (x )在区间[2，＋∞)上是增函数，试求a ，b 应满足的条件． 解：(1)∵f (x )为偶函数，∴对任意的x ∈R ，都有f (－x )＝f (x )． 即a|x ＋b |＝a|－x ＋b |，|x ＋b |＝|－x ＋b |，解得b ＝0.(2)记h (x )＝|x ＋b |＝错误!①当a >1时，f (x )在区间[2，＋∞)上是增函数， 即h (x )在区间[2，＋∞)上是增函数， ∴－b ≤2，b ≥－2.②当0<a <1时，f (x )在区间[2，＋∞)上是增函数，即h (x )在区间[2，＋∞)上是减函数，但h (x )在区间[－b ，＋∞)上是增函数，故不存在a ，b 的值，使f (x )在区间[2，＋∞)上是增函数．∴f (x )在区间[2，＋∞)上是增函数时，a ，b 应满足的条件为a >1且b ≥－2. 三上台阶，自主选做志在冲刺名校1．(2016·唐山二模)当x ∈[1,2]时，函数y ＝12x 2与y ＝a x(a >0)的图象有交点，则a 的取值范围是( )A.⎣⎢⎡⎦⎥⎤12，2B.⎣⎢⎡⎦⎥⎤12，2C.⎣⎢⎡⎦⎥⎤14，2D.⎣⎢⎡⎦⎥⎤14，2解析：选B 当a >1时，如图①所示，使得两个函数图象有交点，需满足12·22≥a 2，即1<a ≤2；当0<a <1时，如图②所示，需满足12·12≤a 1，即12≤a <1，综上可知，a ∈⎣⎢⎡⎦⎥⎤12，2.2．已知定义在R 上的函数f (x )＝2x－12|x |.(1)若f (x )＝32，求x 的值；(2)若2tf (2t )＋mf (t )≥0对于t ∈[1,2]恒成立，求实数m 的取值范围． 解：(1)当x ＜0时，f (x )＝0，无解； 当x ≥0时，f (x )＝2x－12x ，由2x－12x ＝32，得2·22x－3·2x－2＝0，将上式看成关于2x的一元二次方程， 解得2x ＝2或2x＝－12，∵2x＞0，∴x ＝1.(2)当t ∈[1,2]时，2t ⎝ ⎛⎭⎪⎫22t－122t ＋m ⎝ ⎛⎭⎪⎫2t －12t ≥0，即m (22t－1)≥－(24t－1)，∵22t－1＞0， ∴m ≥－(22t＋1)，∵t ∈[1,2]，∴－(22t＋1)∈[－17，－5]， 故实数m 的取值范围是[－5，＋∞)．。
号顿市安谧阳光实验学校课时分层作业(九)[语言知识练习固基础]Ⅰ.单句语法填空1．Have you ever dreamed of earning a large amount of money by acting?2．He said that fighting was concentrated(concentrate)around the towns to the north.3．It is useless spending much time on this matter.4．I count Jules and Ady as my closest friends.5．We should cut our expense in the long term.6．He has gained(gain)rich experience from his work in these years.7．The TV program was so exciting that the children kept their eyes fixed(fix) on the screen.8．I want to report the loss(lose)of a package.9．She got up early that day，and so did(do)her parents.10．I suggested that we (should)go(go)out to eat.Ⅱ.完成句子1．我的全家都在听，我所有的朋友们也是。
My entire family are listening，and so are my friends．2．大雨使我们一整天待在屋内。
The heavy rain kept us staying indoors all day long.3．他们建议约翰马上去那里。
They suggested that John(should)go there at once．4．每年在烟草上花大量的钱。
课时分层作业(九)[语言知识练习固基础]Ⅰ.单句语法填空1．The disease occurs most frequently (frequent)in rural areas.2．Let's compromise and each pays the half damages (damage)．3．Judgment should be based(base)on facts，not on hearsay.4．In conclusion(conclude)，I wish this meeting every success.5．I hope I can find a suitable(suit) job after graduation.6．My uncle is occupied(occupy) in building his own house.7．He needed money to feed his addiction (addicted)to gambling.8．Students receive admission (admit)cards before attending college entrance exam. 9．You may be physically (physics) and mentally exhausted after a long flight. 10．It is not how much we do but how much love we put into what we do that benefits our work most.Ⅱ.完成句子1．不久前的这场暴风雨对农作物造成了很大损失。
The late storm did much damage to the crops．2．你应该以某事实为依据进行判断。
You should base a judgment on the fact．3．直到他读了文件之后，格罗斯先生才意识到他面临的任务很难完成。
号顿市安谧阳光实验学校课时跟踪练(九) Lesson 2 & Lesson 3—Language Points一、全练语言点，基稳才能楼高Ⅰ.单词拼写1．Her careful makeup hid the signs of age beneath (在底下)．2．Try to grasp (理解) what the writer is going to tell you in the book as a whole.3．The government had already committed (投入) itself to a wide range of reforms.4．After he had given an account of the difficulties, he went on to suggest ways to overcome (克服) them.5．In some countries, it is illegal (非法的) to use the cellphone while driving.6．I reminded him of the appointment (约会), but he didn't make any response.7．The children were jumping constantly (不断地) to keep warm.8．We should inspect (检查) the goods to see if there is any damage.9．We were determined to explore the surrounding (附近的) countryside.10．He hesitated_(犹豫)for a while before he made the phone call.Ⅱ.单句语法填空1．Do you believe the existence of ghosts? Perhaps they only exist in the minds of some people.(exist)2．There's enough time left. You can go into details at the moment.3．If you do know the answer, speak up so everyone can hear you.4．I'm constantly (constant) telling him to behave himself.5．Stave has a good grasp of the European legal system.6．Having_committed (commit) herself to this line of action, there was no retreating for bad weather.7．The boy ran away quickly the instant his father turned his back.8．It's suggested that I should have an appointment with the interviewer.9．The officer, surrounded (surround) by these noises, was moved and a little embarrassed.10．It is illegal (legal) to sell tobacco to someone under 16.Ⅲ.完成句子1．我现在不能细说面试的事，太费工夫。
UNIT 9 分层跟踪检测(三) WRITINGWORKSHOP&VIEWINGWORKSHOP&READINGCLUB&ASSESSMENTA级必备知识基础练Ⅰ.单词拼写1.He kept a (日记) during his visit to Japan.2.The two pictures are similar,although not (完全相同的).3.The (差距) between us is growing.4.There are differences in the choices of books between the (性别).5.Have you got any (证据) to support this statement?6.We are anxiously waiting for the (结果) of their discussion.Ⅱ.单句语法填空1.This plant can’t (expose) to strong sunshine.2.It is (evidence) that smoking is harmful to health.3.We can remember up to 200 pieces of information insecond at the age of 25.4.I think I will follow the advice (provide) and try to strengthen my memory.5.By middle age,our memory is significantly (bad) than when we were young.6.Because I am Chinese,my husband and I wanted to expose the children the language and culture.7.When we ee,we often have strong feelings of fear or (eotion;emotionalHe got very when we had to leave,and started to cry. The decision was based on rather than careful thought.2.expose;exposureSkin cancer can be caused by long to the sun.Young people may risk going deaf if they to very loud music every day.3.evidence;evident;evidently,it has nothing to do with the social background.It’s to me that they have no ean was set free because there was no against him.4.reflect;reflection;reflectiveHe walked along the street in a mood.Take time to before doing important things.A moment’s will show how stupid his argument is!5.journal;journalistHe kept a of his travel across Asia.A is a person whose job is to collect news and write about it for newspapers,magazines and so on.B级能力素养提升练Ⅳ.阅读理解AFoodfestivalsaroundtheworldStiltonCheeseRollingMay Day is a traditional day for celebrations,but the 2,000 English villagers of Stilton must be the only people in the worldwho include cheese rolling in their annual plans.Teams offour,dressed in a variety of strange and funny clothes,roll a complete cheese along a 50-metre course.On the way,they must not kick or throw their cheese,or go into their competitors’ lane (赛道).Competition is fierce and the chief prize is a complete Stilton cheese weighing about four kilos (disappointingly,but understandably the cheeses used in the race are wooden ones).All the competitors are served with beer or port wine,the traditional accompaniment for Stilton cheese.FieryFoodsFestival—TheHottestFestivalonEarthEvery year more than 10,000 people head for the city of Albuquerque,New Mee from as far away as Australia,the Caribbean and China,but they all share a common addiction—food that is not just spicy(辛辣),but hot enough to make your mouth burn,your head spin and your eyes water.Their destination is the Fiery Food and BBQ Festival which is held over a period of three days every March.You might like to try a chocolate-covered habanero pepper—officially the hottest pepper in the world—or any one of the thousands ofproducts that are on show.But one thing’s for sure—if you don’t like the feeling of a burning tongue,this festival isn’t for you!LaTomatina—TheWorld’sBiggestFoodFightOn the last Wednesday of every August,the Spanish town of Bunol hosts La Tomatina—the world’s largest food fight.A week-long celebration leads up to an eato battle as the highlight of the week’s events.The early morning sees the arrival of large trucks with tomatoes—official fight-starters get things going by casting tomatoes at the crowd.The battle lasts little more than half an hour,in which time around 50,000 kilograms of tomatoes have been thrown at anyone or anything that moves,runs,or fights back.Then everyone heads down to the river to make friends again—and for a much-needed wash!1.What must competitors on each team do in the Stilton cheese rolling competition?A.Wear various formal clothes.B.Roll a wooden cheese in their own lane.C.Kick or throw their cheese.e a real cheese weighing about four kilos.2.Where is the Fiery Food and BBQ Festival held?A.In New Mexico.B.In the Caribbean.C.In Australia.D.In China.3.How long does the celebration of La Tomatina last?A.Three days.B.Seven days.C.Less than three days.D.More than seven days.4.What can we learn according to the passage?A.The chief prize for the Stilton cheese rolling competition is beer or port wine.B.More than 10,000 Chinese take part in the Fiery Food and BBQ Festival.C.Thousands of spicy foods are on show in the Fiery Food and BBQ Festival.D.An eato battle takes place at the beginning of La Tomatina.BTaking breaks while studying contributes to better learning in a number of ways,and creates a major impact on the process of learning.Find out why a study break is essential,and how it helps you score the best.Scientists conclude that the brain stops registering a constant stimulation over a gradual period of time,and declares it to be unimportant.The brain decodes(译) a monotonous(单调的) activity and gets habituated to it,no longer stimulating the brain to act in any way.Once this happens,you find yourself unable to concentrate,thereby destroying the purpose of a study session—learning.A “break” does just that;it breaks the monotony for the brain.A change in place,a walk around the block,a cup of coffee;these little things can be limited in your study sessions to relaonotony,improve concentration levels,and finally assist the learning process.The purpose of a study session is to study as much as possible and remember most of what has been learned in it.To be able to achieve this,it is absolutely necessary to continuously stayfocused.It is highly likely that long hours of studying can become monotonous and cause you to believe that you are “learning”,when you are only just “reading”.A short rest eases out your stres sed mind,brings you back on track,and allows you to start studying with newfound focus levels.With a relaproved concentration and focus levels,and a better capacity to retain information,it is obvious that your study session with breaks will turn out to be more productive,and you will get more benefits than you previously did.Put more suchbetter-yielding study sessions together,and what do youget?Perfect grades and a winner of the “race”.5.What can the underlined word “habituated” in the second paragraph be replaced by?A.Accustomed.B.Absorbed.C Attached. D.Related.6.What should students do to study as much as possible?A.Help each other.B.Remain concentrated.C.Improve ways of learning.D.Give up the learning process.7.If you have a good attitude to study,how your study will be?A.Efficient.B.Improved.C.Interesting. D Easy.8.What can be concluded from the passage?A.Students should concentrate on their study.B.Students should take breaks after learning for long hours.C.Teachers had better have a good rest before their lessons.D.Teachers had better be strict with their students in learning ways.Ⅴ.七选五HowtoRememberWhatYouReadReading is important.But the neake sure that you remember what you’ve read! 1 You may have just read the teages (形象) may fly right out of your head.Here are a few tricks for remembering what you read.● 2If the plot,characters,or word usage is confusing for you,you probably won’t be able to remember what you read.It’s a bit like reading a foreign language.If you don’t understand what you’re reading,how would you remember it?But there are a few things you can e a dictionary;look up the difficult words.●Are you connected?Does a character remind you of a friend?Does the setting make you want to visit the place?Does the book inspire you,and make you want to read more?With some books,you may feel a connection right away. 3 How willing are you to make the connections happen?●Read it;hear it;be it!Read the lines.Then,speak them out loud.And,put some characters into the words.When he was writing his novels,Charles Dickens would act out the parts of the characters.He’d make faces in the mirror,and change his voice for each character. 4●How often do you read?If you read frequently,you’ll likely have an easier time with remembering what you’re reading (and what you’ve read). 5 Asyou make reading a regular part of your life,you’ll make more connections,stay more focused and understand the textbetter.You’ll learn to enjoy literature—as you remember what you read!A.Are you confused?B.Practice makes perfect.C.What’s your motivation?D.Memory is sometimes a tricky thing.E.Marking helps you remember what you read.F.But other books require a bit more work on your part.G.You can do the same thing when you are reading the text!Ⅵ.完形填空The first day at school has left a deep 1 on me.I’ll never forget it.As soon as I rushed into the classroom,the bell rang.A young beautiful woman came in,but she was 2 ,no smile on her face.“You are not permitted to 3 me in the course of class unless...” She was speaking when I heard a 4 “Lily,Lily” fromoutside the door.My grandmother was standing there with a pair of socks in her hand.I didn’t realise I was bare feet until then.I wanted to 5 them,but I dare not do that.I shook my head, 6 “Don’t wait here any longer.Leave quickly.” As I did so,I still 7 my eyes on my teacher.I really didn’t want her to take 8 of me,but she did.She went out to get the socks.When she gave them to me,she looked at me for a while.My face suddenly turned red and my heart 9 faster.I began to put the socks on.Unfortunately I was so nervous that my 10 hands couldn’t get them onto my feet easily.Just then I heard my name called.I rose from my seat quickly.“Can you 11 the numbers from one to one hundred?” the teacher asked.I nodded.To her surprise,I did very well.Finally she said,“Be 12 ,please.Study hard.” I looked up at her to find a smile on her face.I felt 13 at last.The first day at school has stayed in my 14 as something embarrassing but 15 .1.A.memory B.impressionC.imaginationD.feeling2.A.modern B.humorousC.gentleD.serious3.A.trouble B.questionC.interruptD.excuse4.A.voice B.soundC.noiseD.word5.A.get B.throwC.acceptD.wear6.A.saying B.meaningC.cryingD.shouting7.A.fixed idC.openedD.shut8.A.care B.interestC.attentionD.notice9.A.beat B.jumpedC.struckD.felt10.A.small B.dirtyC.shakingD.own11.A.add B.countC.recognizeD.write12.A.careful B.sittingC.quietD.seated13.A.sorry B.relaxedC.disappointedD.puzzled14.A.body B.classroomC.memoryD.heart15.A.strange B.sweetC.badD.terribleⅦ.应用文写作我校将举办主题为“What I Want to Learn in Senior School?”的英语演讲活动以规划自己高中阶段的学习、生活,请结合自身看法与以下要点准备一份演讲稿。
分层限时跟踪练(九)(限时40分钟)[基础练]扣教材练双基一、选择题1．(2015·四川高考)设a，b都是不等于1的正数，则“3a>3b>3”是“log a3<log b3”的()A．充要条件B．充分不必要条件C．必要不充分条件D．既不充分也不必要条件【解析】∵3a>3b>3，∴a>b>1，此时log a3<log b3正确；反之，若log a3<log b3，则不一定得到3a>3b>3，例如当a＝12，b＝13时，log a3<log b3成立，但推不出a>b>1.故“3a>3b>3”是“log a3<log b3”的充分不必要条件．【答案】 B2．函数y＝lg|x－1|的图象是()【解析】由|x－1|>0得x≠1，只有A正确．【答案】 A3．若函数y＝f(x)是函数y＝a x(a>0，且a≠1)的反函数，且f(2)＝1，则f(x)＝()A.12x B．2x－2C．log 12x D．log2x【解析】由题意知，f(x)＝log a x，且f(2)＝1，即log a2＝1，∴a＝2，∴f(x)＝log2x.【答案】 D4．(2015·大理模拟)设函数f(x)＝|log a x|(0<a<1)的定义域为[m，n](m<n)，值域为[0,1]，若n －m 的最小值为13，则实数a 的值为( )A.14 B.14或23 C.23D.23或34【解析】 作出y ＝|log a x |(0<a <1)的大致图象如图，令|log a x |＝1，得x ＝a 或1a ， 又1－a －⎝ ⎛⎭⎪⎫1a －1＝1－a －1－a a＝(1－a )(a －1)a<0，故1－a <1a －1，所以n －m 的最小值为1－a ＝13，a ＝23.故选C. 【答案】 C5．设函数f (x )＝⎩⎪⎨⎪⎧log 2x ，x ＞0，log 12(－x )，x ＜0，若f (a )＞f (－a )，则实数a 的取值范围是( )A ．(－1,0)∪(0,1)B ．(－∞，－1)∪(1，＋∞)C ．(－1,0)∪(1，＋∞)D ．(－∞，－1)∪(0,1)【解析】 由题意可得⎩⎨⎧a ＞0，log 2a ＞－log 2a 或⎩⎪⎨⎪⎧a ＜0，log 12(－a )＞log 2(－a ).解得a ＞1或－1＜a ＜0. 【答案】 C 二、填空题6．(2015·安徽高考)lg 52＋2lg 2－⎝ ⎛⎭⎪⎫12－1＝________.【解析】 lg 52＋2lg 2－⎝ ⎛⎭⎪⎫12－1＝lg 5－lg 2＋2lg 2－2＝(lg 5＋lg 2)－2＝1－2＝－1. 【答案】 －17．(2015·北京高考)2－3,312，log 25三个数中最大的数是________． 【解析】 因为2－3＝123＝18<1,1<312＝3<2，log 25>log 24＝2，所以三个数中最大的数是log 25.【答案】 log 258．若不等式x 2－log a x <0对x ∈⎝ ⎛⎭⎪⎫0，12恒成立，则实数a 的取值范围为____________．【解析】 由x 2－log a x <0得x 2<log a x ， 设f 1(x )＝x 2，f 2(x )＝log a x ，要使x ∈⎝ ⎛⎭⎪⎫0，12时，不等式x 2<log a x 恒成立，只需f 1(x )＝x 2在⎝ ⎛⎭⎪⎫0，12上的图象在f 2(x )＝log a x 图象的下方即可．当a >1时，显然不成立； 当0<a <1时，如图所示，要使x 2<log a x 在x ∈⎝ ⎛⎭⎪⎫0，12上恒成立， 需f 1⎝ ⎛⎭⎪⎫12 ≤f 2⎝ ⎛⎭⎪⎫12，所以有⎝ ⎛⎭⎪⎫122≤log a 12，解得a ≥ 116，∴116 ≤a <1.即实数a 的取值范围是⎣⎢⎡⎭⎪⎫116，1.【答案】 ⎣⎢⎡⎭⎪⎫116，1三、解答题9．若f (x )＝2(log 2x )2＋a log 2x －2＋b ，当x ＝12时，取得最小值1.(1)求a 和b 的值；(2)求f (x )在x ∈⎣⎢⎡⎦⎥⎤14，8上的值域．【解】 (1)∵f (x )＝2(log 2x )2－2a log 2x ＋b (x >0)，令t ＝log 2x ，则有f (t )＝2t 2－2at ＋b ＝2⎝ ⎛⎭⎪⎫t －a 22＋b －a 22，∵x ＝12，即t ＝－1时，f (x )min ＝1，∴⎩⎪⎨⎪⎧a 2＝－1，b －a 22＝1，∴⎩⎨⎧a ＝－2，b ＝3.(2)∵⎩⎨⎧a ＝－2，b ＝3，∴f (t )＝2(t ＋1)2＋1，∵14 ≤x ≤8，∴－2≤t ≤3，∴1≤y ≤33.即f (x )的值域为[1,33]．10．已知函数f (x )＝log a (x －1)，g (x )＝log a (6－2x )(a >0且a ≠1)． (1)求函数φ(x )＝f (x )＋g (x )的定义域； (2)试确定不等式f (x )≤g (x )中x 的取值范围． 【解】 (1)由⎩⎨⎧ x －1>0，6－2x >0，得⎩⎨⎧x >1，x <3， 即1<x <3.∴函数φ(x )的定义域为{x |1<x <3}． (2)不等式f (x )≤g (x )，即为log a (x －1)≤log a (6－2x )．(*)①当a >1时，不等式(*)等价于⎩⎨⎧1<x <3，x －1≤6－2x .解得1<x ≤ 73；②当0<a <1时，不等式(*)等价于⎩⎨⎧1<x <3，x －1≥6－2x .解得73 ≤x <3.综上，当a >1时，不等式f (x )≤g (x )中x 的取值范围是⎝ ⎛⎦⎥⎤1，73；当0<a <1时，不等式f (x )≤g (x )中x 的取值范围是⎣⎢⎡⎭⎪⎫73，3.[能 力 练]扫盲区 提素能1. (2015·全国卷Ⅰ)设函数y ＝f (x )的图象与y ＝2x ＋a 的图象关于直线y ＝－x 对称，且f (－2)＋f (－4)＝1，则a ＝( )A ．－1B ．1C ．2D ．4 【解析】 设(x ，y )为y ＝f (x )图象上任意一点， 则(－y ，－x )在y ＝2x ＋a 的图象上， 所以有－x ＝2－y ＋a ，从而有－y ＋a ＝log 2(－x )(指数式与对数式的互化)， 所以y ＝a －log 2(－x )，即f (x )＝a －log 2(－x )，所以f (－2)＋f (－4)＝(a －log 22)＋(a －log 24)＝(a －1)＋(a －2)＝1，解得a ＝2.故选C.【答案】 C2．(2015·信阳模拟)已知f (x )是定义在(－∞，＋∞)上的偶函数，且在(－∞，0]上是增函数，设a ＝f (log 47)，b ＝f (log 123)，c ＝f (0.2－0.6)，则a ，b ，c 的大小关系是( )A ．c <a <bB ．c <b <aC ．b <c <aD ．a <b <c【解析】 log 123＝－log 23＝－log 49， b ＝f (log 123)＝f (－log 49)＝f (log 49)，log 47<log 49,0.2－0.6＝()535＝5125>532＝2>log 49，又f (x )是定义在(－∞，＋∞)上的偶函数，且在(－∞，0]上是增函数，故f (x )在[0，＋∞)上是单调递减的，∴f (0.2－0.6)< f (log 123)<f (log 47)，即c <b <a . 故选B. 【答案】 B3．(2015·上海高考)方程log 2(9x －1－5)＝log 2(3x －1－2)＋2的解为________． 【解析】 依题意log 2(9x －1－5)＝log 2(4·3x －1－8)，所以9x －1－5＝4·3x －1－8， 令3x －1＝t (t >0)，所以t 2－4t ＋3＝0，解得t ＝1或t ＝3，当t ＝1时，3x －1＝1，所以x ＝1，而91－1－5<0，所以x ＝1不合题意，舍去； 当t ＝3时，3x －1＝3，所以x ＝2,92－1－5＝4>0,32－1－2＝1>0，所以x ＝2满足条件．【答案】 24．(2015·江西七校联考)关于函数f (x )＝lg x 2＋1|x |(x ≠0，x ∈R )有下列命题： ①函数y ＝f (x )的图象关于y 轴对称；②在区间(－∞，0)上，函数y ＝f (x )是减函数；③函数f (x )的最小值为lg 2；④在区间(1，＋∞)上，函数f (x )是增函数． 其中是真命题的序号为________．【解析】 ∵函数f (x )＝lg x 2＋1|x |(x ≠0，x ∈R )，显然f (－x )＝f (x )，即函数f (x )为偶函数，图象关于y 轴对称，故①正确；当x >0时，f (x )＝lg x 2＋1|x |＝lg x 2＋1x ＝lg ⎝ ⎛⎭⎪⎫x ＋1x ，令t (x )＝x ＋1x ，x >0，则t ′(x )＝1－1x 2，可知当x ∈(0,1)时，t ′(x )<0，t (x )单调递减，当x ∈(1，＋∞)时，t ′(x )>0，t (x )单调递增，即在x ＝1处取到最小值为2.由偶函数的图象关于y 轴对称及复合函数的单调性可知②错误，③正确，④正确，故答案为①③④.【答案】 ①③④5．已知函数f (x )＝log 4(ax 2＋2x ＋3)． (1)若f (1)＝1，求f (x )的单调区间；(2)是否存在实数a ，使f (x )的最小值为0？若存在，求出a 的值；若不存在，说明理由．【解】 (1)∵f (1)＝1， ∴log 4(a ＋5)＝1， 因此a ＋5＝4，a ＝－1， 这时f (x )＝log 4(－x 2＋2x ＋3)． 由－x 2＋2x ＋3>0，得－1<x <3， 即函数f (x )的定义域为(－1,3)． 令g (x )＝－x 2＋2x ＋3，则g (x )在(－1,1)上递增，在(1,3)上递减． 又y ＝log 4x 在(0，＋∞)上递增，所以f (x )的单调递增区间是(－1,1)，单调递减区间是(1,3)． (2)假设存在实数a 使f (x )的最小值为0， 则h (x )＝ax 2＋2x ＋3应有最小值1，因此应有⎩⎪⎨⎪⎧a >0，3a －1a ＝1，解得a ＝12.故存在实数a ＝12使f (x )的最小值为0.6．已知函数f (x )＝log a (x ＋1)(a >1)，若函数y ＝g (x )图象上任意一点P 关于原点对称的点Q 的轨迹恰好是函数f (x )的图象．(1)写出函数g (x )的解析式；(2)当x ∈[0,1)时总有f (x )＋g (x )≥m 成立，求m 的取值范围． 【解】 (1)设P (x ，y )为g (x )图象上任意一点， 则Q (－x ，－y )是点P 关于原点的对称点， ∵Q (－x ，－y )在f (x )的图象上，∴－y ＝log a (－x ＋1)，即y ＝g (x )＝－log a (1－x )． (2)f (x )＋g (x )≥m ，即log ax ＋11－x≥m . 设F (x )＝log a 1＋x1－x ，x ∈[0,1)，由题意知，只要F (x )min ≥m 即可．∵F (x )在[0,1)上是增函数，∴F (x )min ＝F (0)＝0. 故m 的取值范围为(－∞，0]．。
