高三英语单词和阅读讲解教案
Unit4
1.merelyadv.----only,just只是,仅仅,不过
Thatwasmerelyaguessofmine.那只是我的一种猜测。
Imerelylookedatthechocolate;Ididnoteatit.
我只不过看了看巧克力,我没有吃。
Hemerelywantstoknowthetruth.
notonly(merely/just)…butalso
2.classify:arrangeinclassesorgroupsvt.将...分类;将...分等级
beclassifiedinto分类,分级
besortedinto
比较:sort–arrangethingsaccordingtosize,rank,typeetc
将。。。分类,整理
besortedinto
Theeggsaresorted/classifiedaccordingtosize.
鸡蛋按大小分等级。
Theteachersortedthechildrenintoteams.
classifysth.as(依据某系统)将分类
Hehadthebooksclassifiedasworthsaving.
Peoplewhoworkinlibrariesspendalotoftimeclassifyingbooks.
classified
在图书馆工作的人花大量的时间为书籍分类。
Studentsare____intogradesaccordingtohowmuchtheyknowandhowoldtheyare.
A.classifiedB.combinedC.listedD.made
3.identificationn.ID
1)身份证明;身份证[U][C]
ID,anidentificationcard,anidentitycard
Haveyouanyidentification/ID?你有身份证明吗?
Hisonlymeansofidentificationwashispassport.
他唯一证明身份的证件就是他的护照。
2)认出;识别;鉴定;确认[U]
theidentificationofcriminalsbytheirfingerprints凭指纹确认罪犯
identifyvt.
4.appetite:
1)食欲,胃口[(+for)]desire(esp.forfood)
haveanappetite有胃口
Hehasagood/big/hugeappetite.他的胃口好。
loseonesappetite=sufferfromlaceofappetite食欲不振
Sheissufferingfromlaceofappetite.她食欲不振
givesb.anappetite
Exercisegaveheragoodappetite.运动使她食欲旺盛。
2)欲望;爱好[(+for)]
haveanappetitefor…对……欲望
haveadesiretodo=desiretodo
Paulhasnoappetiteforhardwork.不喜欢卖力气
Atthemomentshehadnoappetiteforgossip.
此时此刻她无心闲聊
5.appoint:choosesb.forapositionorajob
1)任命,指派
appointsb.+as/tobe…
Whitewasappointedas/(tobe)ChairmanoftheCouncil.
Hewasappointedmayorofthecity.
appointsb.tosth.
HehasbeenappointedtotheStateSupremeCourtinCalifornia.
他被派到加利福尼亚最高法院任职。
appointsb.todosth.委派某人做某事
She’sbeenappointedtocatalogthenewbooksinthelibrary.
2.)appoint:arrange;fixordecide(正式)约定(时间,地点);指定;决定
Let’sappointaday/adate/timetohavedinnertogether.
appointsth.forsth.
Shewasn’tthereattheappointedmeetingplace.
Thetimeappointedforthemeetingwas8:30p.m.
开会所定的时间是下午8:30
appointmentn.任用;约会
haveanappointmentwithsb.
make/fixanappointment约会
keepone’sappointment守约
breakanappointment违约
cancelanappointment取消约会
6.calculate–1)workoutsthbyusingnumbers
Thescientistscalculatedwhenthespaceshipwouldreachthemoon.
2)plan;intend
acalculatedthreat
7.expense花费;代价/costspending(ofmoney,time,energy,etc.)与cost用法相似,尤其被认为大量花费时:
theterribleexpenseofhavingthehousepainted
Whataretheexpensesofmovinghouse?搬家的花销是多少?
以下情况用cost,不用price1)修理服务费用:
thecostofhavingthehousepainted
2)一般费用:thecostofliving
Thecostoflivinghasbeengoinguprecently.生活费用在提高。
Hesavedhisdaughteratthecostofhislife.
他以牺牲自己的生命挽救了女儿。
expense相关词组连接:
atsb’sexpense由某人出资
atone’sownexpense自费
Hehadhisbookprintedathisownexpense.他自己出钱印书。
attheexpenseof在损害…的情况下;以…为代价
Hefinishedthejobattheexpenseofhishealth.
它完成了任务,但损害了健康。
Hedevotedhistimetofootballattheexpenseofhisstudies.
gototheexpenseofsth./doingsth.在某物上花钱
sparenoexpense不惜费用
Shespearednoexpensetomakethepartyasuccess.
putsb.totheexpenseofsth./doingsth.使某人破费……
8.lookout/watchout:语气最强,常用于某种紧急的情况或可能出现的危险的场合。
takecare:语气不如lookout强,常用于出现不测的情况下做出提醒或警告。
becareful:常用语,使用场合较广。
1)Lookout!Thereisacarcoming.
2)Takecare!Thepanishot.Don’ttouchit.
3)Becareful!Don’tbreakit.It’smadeofglass.
lookoutfor当心,小心;找寻
1)Lookoutforthepickpockets.
2)Helookoutfortruthsallhislife.他一生都在寻求真理
9.involve包括;牵涉;使参与
e.g.Thestrikeinvolvedmanypeople.有很多人参加了罢工。
involvesb./sth.in(doing)sth.使某人/物参与……
Don’tinvolvemeinsolvingyourproblems.
你解决你的问题,不要把我拉进去
beinvolvedin
=bebusydoing
=beengagedin从事,忙于……
Heisinvolvedinpreparingfortheentranceexam.
他正忙着准备入学考试
10.abandon—vt.leavecompletelyandforever,desert
Thesailorsabandonedtheburningship.
11.rewardn.报答;报偿;奖赏;报应[U][C]
inreward(for)=inreturnfor=inexchangefor
Shegotnothinginrewardforherkindness.
Itisunfairthathegetsverylittleinrewardforhishardwork.
他工作很辛苦,报酬却很少,这不公平
offerarewardfor悬赏
Thepoliceareofferingarewardfortherobbery.
vt.报答,报偿;酬谢;奖励[(+with/for)]
Herewardedtheboyforbringingbackthelostdog.
rewardsb.forsth.=givearewardtosb.forsth.
12.name…after…
Thefathernamedhissonafterhisgrandparents.
Thevillagewasnamedafterasoldierwhodiedfortheprotectionofthevillage.
13.distinguish:区别;区分(常与from,between连用)
distinguishfrom=tellfrom
distinguishbetween
Canyoudistinguishthedifferentmusicalinstrumentsplayingnow?你能区分出正在演奏的各种不同的乐器吗?
Canyoudistinguishbetweenthosetwoobjects?你能区分那两个物体吗?
Speechesdistinguishesmanfromtheanimals.言语使人区别于动物。
reading
1.abunchof(1)一束;一串
abunchofflowers一束花
abunchofkeys一串钥匙
abunchofgrapes一串葡萄
abunchofnewspapers一捆报纸
abunchofsheep一群羊
grassgrowinginbunches丛生的草
(2)一群;一帮
Mybrotherandhisbuncharebasketballfanatics.
我兄弟和他的伙伴们都是篮球迷
2.Untilthen,mostlydoctorsandsurgeonsstudiedherbs.
mostly“大部分地;主要地”(mainly;chiefly),它不是“most”的副词形式
Moreimmigrantsarrived,mostlyEuropeans.
更多的移民到达,大多是欧洲人。
Sheuseshercarmostlyforgoingtotheshops.
most:大多数;最多地
Most(ofthe)Americansowncars.大多数美国人都有汽车。
Most(ofthe)cheesecontainsalotoffat.(Not不用mostofcheese)
ThefoodIeatmostisrice.
3.Attemptshadbeenmadebyotherstoclassifyplantspeciesintogroups.
makeattempts/anattempttodosth.打算;试图at(doing)sth
Shemadeanattempttocookthedinner.
Theprisonersmadenoattemptatescaping.
InvainJohnsonattemptedtoprovehimselfinnocent.
4.base…on…把…建立在…的基础上
bebasedon
Hebasedhisstatementsonnewspaperreports.
Hisstatementswerebasedonnewspaperreports.
Hemadehisstatementswhichwerebasedonnewspaperreports.
5.atfirstsight乍一看
beloveatthefirstbyte
6.developalifelongfriendshipwith…结成终身的朋友
makefriendswith
7.Bornintoalifeofprivilege,
=Ashewasborninto…
1)Nowadaysthereislessprivilegeandmoreofanequalchanceinlifeforeveryone.如今,特权少了,大家平等的机会多了起来。
2)beborninto/to/of出生于
Margiewasbornintoawealthyfamily.
bebornwise天生聪明
Allmenarebornthesameandequal.
所有的人生来都是一样的,平等的。
Hewasbornalawyer.
8.positionv.1)处境;境地
Heissatisfiedwithhisposition.
ina….position
putsb.inadifficult/awkwardposition
MadameMichelfoundherselfinanawkwardposition.尴尬境地
inhis/her/yourposition处于他/她/你的处境
I’mnotsurewhatIshoulddoifIwereinhisposition.
2)姿势,位置
sitinancomfortableposition不舒服的坐姿
3)地位;职位rank工作ajob
holdaposition担任职务
Sheheldthepositionofsalesmanager.她担任销售经理的职务。
TheyweremenofthehighestpositioninEngland.
9.despite
inspiteof
Despitehiswealth,heworkedtomakeacareerinscience.
Inspiteof/Despitethefactthatthedoctorhadtoldhertorest,shewenttoSpain.
10.fromunder
Thecaptaingotoffhishorse,andwentintothehouse.Hisheadsoonappearedoutofoneofthesecondstoreywindows,fromwherehecouldseenothingbuttrees.
Let’sclimbuptothetopofthemountain,fromwherewecanseethesunrise.
Therearealotofthingsunderhisbed,fromwherewecanseeafootball.
11.onalarge/tremendousscale大规模地(极大规模)
Somecountriesarepreparingforwaronalargescale.
高三英语单词和阅读讲解教学案
unit2
Newwords:
1.inthenameof…以…名义,代表…,看在…上
Thepolicearrestedhiminthenameofthelaw.
bythenameof名叫。。。的
aboybythenameofDavid
innameonly名义上
Hewasarulerinnameonly.
2.equipequipped
equipment[u]
equip…with
bewellequippedwith
Thesoldierswereequippedwiththelatestweapons.
3.puzzle
puzzlesb.
sb.bepuzzledabout
sth.bepuzzling
1)Ifelt____(puzzled,puzzling)andupset.
2)Hisfaceworea____(puzzled,puzzling)expression.
3)Thesituationwasmore____(puzzled,puzzling)thanever.
4)Witha____(puzzled,puzzling)glanceathim,Ican’tfollowhim.
4.exchange…withsb.与某人交换
exchange…for以…交换,与…兑换
inexchangefor交换,调换
ShallIexchangeseatswithyou?
I’vejustboughtthistie,butcanIexchangeitforthatone?
CanIexchangepoundsfordollarshere?
Igaveherasweaterinexchangeforaskirt.
HeisgivingherFrenchlessonsinexchangeforhisEnglishlessons.(物物交换)
5.command=order
commandsb.todo
that(should)do
1)请求:request
demand
require
ask
beg
2)建议:adviseproposeadviceproposalsuggestion
suggest
3)命令:ordern.order
command
4)坚持:insist
underthecommandof
6.setsail(to/from/for…)
7.inreturnadv.作为回报/报答地(for+n.)
Ifyougivemeyourphoto,I’llgiveyoumineinreturn.
Hedidn’texpectanythinginreturnforhishelp.
8.bringup1)educate
compare:bringupchildren
raisechildren/afamily/horses
2)bringupthequestion
comeup被提出Yourquestioncameupatthemeeting.
putsth/sbforwardAreyouseriousinputtingforwardsuchaview?
9.accomplish=succeedindoing;achieve做成功,完成,实现(后面往往
不接具体事务)
Wetriedtoarrangeapeacebutaccomplishednothing.
我们试图调停以求和平,但是没有成功。
She’saccomplishedagreatdealinthelastfewweeks.
Alazymancanneveraccomplishanything.
achieve完成伟大功业
complete使完满
finish强调事物的终结
10.Apartfromthecold,thinairandlowoxygenlevelscancausemountainsickness.(para.2)
apartfrom1).撇开。。。来说,除…以外(=exceptfor后接的宾语一般与句子所涉及的东西不同类。)
Yourcompositionisgoodexceptforsomespellingmistakes.
Exceptforoldlady,thebuswasempty.
Apartfromafewfaults,heisagoodstudent.
除了两三个缺点外,他是个好学生。
Apartfromafewwords,IdonotknowanyFrenchatall.
Apartfromhisnose,heisgood-looking.
Apartfromthesalary,it’snotabadjob.
2)此外,除此。。。而外(还有。。。)=besides,aswellas,inadditionto
Apartfrombeingtoolarge,thetrousersdon’tsuitme.
Apartfromme,thereweretenotherpeopleatthemeeting.
AllstudentslikemusicapartfromTom.(except)
3)except,but,otherthan
Thereisnobodyhereotherthanme.
Youcan’tgetthereotherthanbycar.
11.referto1)参阅;查阅
Apersonreferstoadictionarytofindthemeaningofthewords.
2)指的是
IknewtheladywasreferringtoBillwhenshespokeofabrightyoungboy.
3)把。。。称作referto…as
Don’trefertoyoursisterasasillycow!
to为介词的动词短语:
lookforwardto期盼;期望
referto提到;谈到
payattentionto注意
stickto坚持
drawone’sattentionto注意
objectto反对
contributeto为…做贡献
belongto属于
beusedto习惯于
taketo开始从事于
getcloseto接近于
seeto负责;注意
devote…to致力于
godownto开始做
12.1)praisesb.for
Wepraisehimforhiscourage.
2)inpraise(of)[u]
Itisabookinpraiseofcountrylife.
singhighpraisefor=speakhighlyof
基础巩固:
1.It’simpossibleto______theseresultswithoutknowingmoreabouttheresearchmethodsemployed.
A.valueB.evaluateC.absorbD.benefit
2.Inoldmovies,thepoliceshouted“Openup_____thelaw”beforetheybrokethedoordown.
A.inthenameofB.atthemercyofC.bythenameof
D.regardlessof
3.Wehopetobecomemore____inpredictingearthquakes.
A.absoluteB.steadyC.idealD.accurate
4.I’dliketodosomethingforyou____everythingyouhavedoneforme.
A.inexchangeB.inreturnC.inreturnforD.intermsof就…来说
5.____youandme,Idon’tthinktherewasanyonehereunderthirty..
A.IncludingB.BesideC.InadditionD.Apartfrom
6.SinceIleftmyjob,IfeelasifI’ve_____nothing.
A.establishedB.accomplishedC.abolishedD.guaranteed
7.Shewasfoundseveralhourslater,_____thestreets,_____.
A.wandering;losingB.wandered;losingC.wandering;lost
D.wandered;lost
Reading:
1.1)sbtake/get/gainpossessionof…把…占为己有,占领,夺取
sbbeinpossessionofsth
Don’ttakepossessionofthewallet,thoughyoupickeditupinthestreet.
2)sthbeinthepossessionofsb(某物)为(某人)所有
Therarestampisinthepossessionofanunknowncollector.
eg.Youcan’t___it,whichbelongstoher.
A.takethepossessionofB.takepossessionof
C.takechargeofD.taketheplaceof
2.massesof[c,u]
massesoffuel
massesofpeople
3.berich/poorin
becleverat
bewelloff
4.doresearchon
carryoutaresearchinto/for
Theyarecarryingaresearchinto/forthecausesofcancer.
makeresearches
researchinto/on
Theyareresearchingintothecausesofcancer.
5.beequippedwith
belinedwith
Thestreetislinedwithgreentrees.
becrowdedwith
Thewaitingroomiscrowdedwithpassengerswaitingforthebustocome.
bepackedwith
Thestadiumwaspackedwithfootballfans,watchingtheexcitinggame.
bemarkedwith
Allthebooksaremarkedwithdifferentnumbers.
befurnishedwith
Theliving-roomisfurnishedwithmodernchairsfromDenmark.
bedecoratewith
Thegreathallwasdecoratedwithflowers.
6.formthefoundationof成为。。。的基础
laythefoundationof打下。。。的基础
Theworkersarelayingthefoundationofthehospital.
7.1)insearchof
ina/the/one’ssearchfor
HeimmigratedtoBrazilinsearchofabetterlife.
2)searchsb.forsth.
search(aplace)forsb./sth.
searchforsb./sth.
Ihavebeensearchingforthesamekindofshoesasthese.
3)lookfor
searchfor
huntfor
insearchof
trytofind
seekfor
lookoutfor
①.Manypolicemenandsoldiersare___theforest___theprisonerescapingfromprison.
A.searchingfor;searchingB.searching;searching
C.searching;insearchofD.insearchfor;searchingfor
②.Thepolicemenaresearching___everyhouse___thethief.
A.for;forB.of;ofC./;forD.of;for
8.longbefore
beforelong
1)Therewasalivelymarketlongbefore.(很久以前)
2)BeforelongyouwillunderstandwhatIsaidisgoodforyou.(=soon)
3)Ihadwaitedhimlongbeforehecame.(在他回来之前我已等他很久)
4)Itwon’tbelongbeforeyouseehimagain.不久你就会看到他了.
5)Itwaslongbeforetheyescapedfromthecruelprison.
过了很久,他们才从监狱逃跑出来
6)It___longbeforewe___theresultoftheexperiment.
A.willnotbe;willknowB.is;willknow
C.willnotbe;knowD.is;know
9.1)___iswellknownthattheearthisround.
A.AsB.ItC.ThereD.That
2)___isknown,theearthisround.A.AsB.ItC.ThereD.That
10.contactn.接触;交往;联系
havecontactswith与……有联系
getincontact/touchwith与……取得联系
keepincontact/touchwith与……保持联系
beoutofcontact/touchwith与……失去联系
11.developinto发展成
growinto
developafriendshipwithsb.建立友谊
makefriendswith
12.betakenprisoner被俘
Hewastakenprisonerbytheenemy.
putsb.inprison
sendsb.toprison
throwsb.intoprison
13.makeavoyage/journey/trip
goonavoyage/journey/trip
14.1)runout 某物用完(无被动,主语为物)
Ourfoodwillsoonrunout.
Timeisrunningout.
2).runoutof 某人用完(主语为人)
Wearerunningoutoffuel.
eg.Shehas___themoneysavedbyhermother,which___inabankforhereducation.
A.ranoutof;hadputB.runout;haveput
C.runoutof;wasputD.runoff;wasput
15.Asitwasdarkandtheywereunabletotakephototoprovethattheyhadreachedthetop.(lastpara.)
1)provevt.”证明,证实”
provesth
sb/sthtobe
that
Ithasbeenprovedthat…
Shetriedtoproveherhonesty.
Thefactprovedhim(tobe)wrong.
Thepoliceprovedthathewasthemurderer.
2)link.v.证明是;证实是;结果是(无被动)+tobe
Thenewsoftheircomingproved(tobe)true.
Theweatherforecastprovedaccurateonthenextday.
①PremierZhou___tobeunforgettableintheheartsoftheChinesepeople.
A.provedB.regardedC.thoughtD.considered
②Toeverybody’ssurprise,thefashionableyounglady___tobeathief.
A.foundoutB.provedoutC.putoutD.turnedout
一名优秀的教师在教学方面无论做什么事都有计划和准备,作为教师就要在上课前做好适合自己的教案。教案可以让学生更好的消化课堂内容,帮助教师营造一个良好的教学氛围。那么一篇好的教案要怎么才能写好呢?下面是小编为大家整理的“高三数学下册重要公式讲解”,希望能对您有所帮助,请收藏。
高三数学下册重要公式讲解
a(1)=a,a(n)为公差为r的等差数列
通项公式:
a(n)=a(n-1)+r=a(n-2)+2r=...=a[n-(n-1)]+(n-1)r=a(1)+(n-1)r=a+(n-1)r.
可用归纳法证明。
n=1时,a(1)=a+(1-1)r=a。成立。
假设n=k时,等差数列的通项公式成立。a(k)=a+(k-1)r
则,n=k+1时,a(k+1)=a(k)+r=a+(k-1)r+r=a+[(k+1)-1]r.
通项公式也成立。
因此,由归纳法知,等差数列的通项公式是正确的。
求和公式:
S(n)=a(1)+a(2)+...+a(n)
=a+(a+r)+...+[a+(n-1)r]
=na+r[1+2+...+(n-1)]
=na+n(n-1)r/2
同样,可用归纳法证明求和公式。
a(1)=a,a(n)为公比为r(r不等于0)的等比数列
通项公式:
a(n)=a(n-1)r=a(n-2)r^2=...=a[n-(n-1)]r^(n-1)=a(1)r^(n-1)=ar^(n-1).
可用归纳法证明等比数列的通项公式。
求和公式:
S(n)=a(1)+a(2)+...+a(n)
=a+ar+...+ar^(n-1)
=a[1+r+...+r^(n-1)]
r不等于1时,
S(n)=a[1-r^n]/[1-r]
r=1时,
S(n)=na.
同样,可用归纳法证明求和公式。
练习题:
1.若x0是方程lgx+x=2的解,则x0属于区间()
A.(0,1)
B.(1,1.25)
C.(1.25,1.75)
D.(1.75,2)
解析:设f(x)=lgx+x-2,则f(1.75)=f74=lg74-140,f(2)=lg2=0。
答案:D
2.函数f(x)=x2+2x-3,x≤0,-2+lnx,x0的零点个数为()
A.0个
B.1个
C.2个
D.3个
解析::x≤0时由x2+2x-3=0x=-3;x0时由-2+lnx=0x=e2。
答案:C
3.设函数f(x)=x2-x+a(a0),若f(m)0,则()
A.f(m-1)0
B.f(m-1)0
C.f(m-1)=0
D.f(m-1)与0的大小不能确定
解析:结合图象易判断。
答案:A
4.函数f(x)=ex+x-2的零点所在的一个区间是()
A.(-2,-1)
B.(-1,0)
C.(0,1)
D.(1,2)
解析:因为f(0)=-10,f(1)=e-10,所以零点在区间(0,1)上,选C。
答案:C
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