中考數(shù)學基礎過關復習第一章數(shù)與式第6課時因式分解課件98

第6課時因式分解第6課時因式分解中考考什么中考考什么A(a+3)(a-3)a(b+2)(a+b)21.(2017·北部灣模擬)多項式x2-4分解因式的結(jié)果是（）A.（x+2）（x-2）B.（x-2）2C.（x+4）（x-4）D.x（x-4）2.(2017·欽州一模)分解因式：a2+2ab+b2=

.3.（2016·南寧）分解因式：a2-9=

.4.（2016·欽州）分解因式：ab+2a=.A(a+3)(a-3)a(b+2)(a+b)21.(2017核心考點解讀核心考點解讀把一個多項式化為幾個整式的

的形式，這樣的式子變形叫做這個多項式的因式分解，也叫做把這個多項式分解因式.

因式分解積考點1把一個多項式化為幾個整式的

因式分解的基本方法1.提公因式法：如果多項式的各項有公因式，可以把這個公因式提取出來，將多項式寫成公因式與另一個因式的乘積的形式，這種分解因式的方法叫做提公因式法.pa+pb+pc=p(a+b+c).考點2因式分解的基本方法1.提公因式法2.公式法（1）兩個數(shù)的平方差，等于這兩個數(shù)的和與這兩個數(shù)的差的積.a2-b2=

.(2)兩個數(shù)的平方和加上（或減去）這兩個數(shù)的積的2倍，等于這兩個數(shù)的和（或差）的平方.a2+2ab+b2=

;a2-2ab+b2=

.(a+b)(a-b)(a+b)2(a-b)22.公式法(a+b)(a-b)(a+b)2(a-b)2x2+（p+q）x+pq=（x+p）（x+q）．十字相乘法：x2+（p+q）x+pq=（x+p）（x+q）怎么考怎么考1．下列各式由左到右的變形中，屬于分解因式的是（

）

A．a(chǎn)（x+y）=ax+ay B．x2－4x+4=x（x－4）+4 C．10x2－5x=5x（2x－1） D．x2－16+6x＝（x+4）（x－4）+6x

C焦點1因式分解的概念1．下列各式由左到右的變形中，屬于分解因式的是（ ）C焦點1.下列各式由左邊到右邊的變形中，屬于因式分解的是（）A.a(x+y)=ax+ayB.x2-4x+4=x(x-4)+4C.10x2-5x=5x(2x-1)D.x2-16+6x=(x+4)(x-4)+6xC對應訓練1.下列各式由左邊到右邊的變形中，屬于因式分解的是（）［命題規(guī)律］主要考查分解因式的概念，常以選擇題形式呈現(xiàn).［方法指導］因式分解是把一個多項式分解成幾個整式乘積的形式，注意：①分解的是多項式；②整式；③積.［命題規(guī)律］主要考查分解因式的概念，常以選擇題形式呈現(xiàn).焦點2因式分解樣題2

分解因式：ax+ay=

.a（x+y）［解析］觀察等式的左邊，提取公因式a即可求得答案.焦點2焦點2因式分解a（x+y）［解析］觀察等式的左邊，變式訓練2.（2016·百色）分解因式：16-x2=（）A.（4-x）（4+x）B.（x-4）（x+4）C.（8+x）（8-x）D.（4-x）23.(2016·梧州)分解因式：2x2-2=（）A.2（x2-1）B.2（x2+1）C.2（x-1）2D.2（x+1）（x-1）AD變式訓練AD［命題規(guī)律］考查分解因式的意義與兩種基本的分解因式的方法.以選擇題和填空題呈現(xiàn)，題目常以提公因式法和公式法結(jié)合的分解因式為主.［方法指導］（1）pa+pb+pc=p(a+b+c);（2）a2-b2=(a+b)(a-b);（3）a2+2ab+b2=(a+b)2,a2-2ab+b2=(a-b)2.［命題規(guī)律］考查分解因式的意義與兩種基本的分解因式的方法.以補充練習補充練習

1．分解因式：2a2－6a=

．2．下列分解因式正確的是（B）A．3x2-6x=x（3x-6） B．-a2+b2=（b+a）（b-a）C．4x2-y2=（4x+y）（4x-y） D．4x2-2xy+y2=（2x-y）23．分解因式：2a2－8=

．4．分解因式：

3a2－12ab+12b2=

．2a（a－3）

2（a+2）（a－2）

3（a－2b）2

2a（a－3）2（a+2）（a－2）3（a－2b）27.下列多項式中，能用提公因式法分解因式的是()A.x2-yB.x2+2x

C.x2+y2

D.x2-xy+y2

5.分解因式：3x2-3=

.6.分解因式：X2+2xy+y2-4=

.3(x+1)(x-1)(x+y+2)(x+y-2)B8.分解因式：a2-4a+4=

.

(a-2)27.下列多項式中，能用提公因式法分解因式的是()59.分解因式：a3+2a2+a=

.10.將下列式子因式分解x-x2-y+y2=

.a(a+1)2(x-y)(1-x-y)9.分解因式：a3+2a2+a=.111.關于x的一元二次方程x2+bx+c=0的兩根為x1＝1，x2＝2，則x2+bx+c分解因式的結(jié)果為：

.12.分解因式：x2-4y2+x-2y=

.

(x-2y)(1+x+2y)（x-1）(x-2)11.關于x的一元二次方程x2+bx+c=012.分解因式：

一、完形填空(共15小題；每小題1分，滿分15分)閱讀下面短文，掌握其大意，然后從每題所給的A、B、C、D四個選項中選出最佳選項。Lifeisfulloftheunexpected.__1__acoldwinterafternoon，amansawanoldladystandingbyherexpensivecarandclearlysheneededhelp.Sohestoppedand__2__hisoldtruck.“Ishegoingtohurtme?Hedoesn'tlooksafe，”theoldladywas__3__．(B)1.A.InB．OnC．AtD．Under(D)2.A.wentoffB．turnedoffC．tookoffD．gotoff(C)3.A.gladB．excitedC．worriedD．surprised

(B)1.A.InB．OnC．AtD．UnThemancouldseethatshewasafraid，sohesaidinhisfriendliest__4__，“I'mheretohelpyou，madam.Whydon'tyou__5__inthecarwhereit'swarm？__6__，mynameisTedJohnson.”Tedquicklyfixedthecarandtheladythankedhim.Thensheasked__7__sheshouldpayhim.(A)4.A.voiceB．soundC．noiseD．look(A)5.A.waitB．towaitC．waitedD．waits(D)6.A.InawayB．OnmywayC．UnderthewayD．Bytheway(B)7.A.howmanyB．howmuchC．howfarD．howoftenThemancouldseethatsheButTedwanted__8__money.Hewasjustgivingahandtosomeoneintrouble.__9__wasnormalforhimtodosuchathinglikethat.Hesaid，“Ifyoureallywanttorepay(報答)me，nexttimeyouseesomeoneinneed，thinkofmeandhelpthem.”(B)8.A.notB．noC．someD．a(chǎn)ny(C)9.A.ThisB．ThatC．ItD．TheyButTedwanted__8__money.HAftersayinggoodbye，theladycontinueddowntheroaduntilshereachedasmall__10__whereshedecidedtostopforsomethingtoeat.Astheprettywaitresstookherorder，theladynoticedshewas__11__eightmonthspregnant(懷孕)．Thewaitresslookedtiredandweak，__12__shewasverykind.Astheladywasgoingtopaythe$10bill，sherememberedTed'swords.(A)10.A.restaurantB．bookstoreC．cinemaD．library(C)11.A.mostlyB．hardlyC．nearlyD．seldom(B)12.A.soB．butC．orD．thoughAftersayinggoodbye，thelaAftertheladywasgone，thewaitresssawasmallnoteonthetable.Itsaid，“SomebodyoncehelpedmethewayI'mhelpingyou.Continuebeingkindtootherpeople.”Underthenotewerefive__13__dollars.Thewaitresswas__14__excitedthatshecalledherhusbandtotellhimthenews，“Ted…TedJohnsonmydear…you'renotgoingtobelieve__15__justhappened…”(A)13.A.hundredB．hundredsC．hundredofD．hundredsof(D)14.A.tooB．veryC．suchD．so(C)15.A.howB．whenC．whatD．whyAftertheladywasgone，the二、閱讀理解(共15小題；每小題2分，滿分30分)閱讀下面四篇短文，從每題所給的A、B、C、D四個選項中選出最佳選項。A(2017廣東中考改編)二、閱讀理解(共15小題；每小題2分，滿分30分)中考數(shù)學基礎過關復習第一章數(shù)與式第6課時因式分解課件98(C)16.TheWorldPoetryDayison________．A．August28thB．March3rdC．March21stD．August28th(D)17.ThepurposeoftheWorldPoetryDayis________．A．toencouragetheBritishtowritepoemsB．toteachchildrenhowtoreadandwritepoemsC．toraisemoneyforthepoetsfromallovertheworldD．tohelppeopletoread，writeandteachpoemsbetter(C)16.TheWorldPoetryDayi(A)18.TherulesforthecompetitionincludethefollowingEXCEPT________．A．thatpoetscanwritepoemsinanylanguageB．thatpoetsmustusetheirunpublishedpoemsC．thatpoemscan'tbewrittenonthesubjectofviolenceordrugsD．thatpoemscan'tbetakenbackafterthecompetition(A)18.TherulesforthecompBSportscanhelpyoukeepfitandclosetonature.However，whetheryouareonthemountains，inthewaves，oronthegrassland，youshouldrealizethatsportyouchoosemighthavegreatinfluenceontheenvironment.BSomesportsareresource-hungry．Golf，asyoumayknow，eatsupnotonlylargeareasofcountryside，butalsolotsofwater.Besides，hugeamountsofenergyareusedtokeepitscourses(球場)ingoodcondition.Thiscausesmajorenvironmentalchanges.Forexample，inthedryplacesofPortugalandSpain，golfisoftenheldresponsiblefor(為……承擔責任)seriouswatershortage(短缺)insomelocalareas.Somesportsareresource-huTherearemanyenvironment-friendlysports.Powerwalkingisoneofthemthatyoucouldtakeuptoday.Youdon'tneedanyspecialequipmentexceptagoodpairofshoes，andyoudon'thavetoworryaboutresourcesandyourpurse.Simpleandfree，powerwalkingcanalsohelpyoustayhealthy.Ifyouwalkregularly，itwillbegoodforyourheart.Expertssaythat20minutesofpowerwalkingdailycanmakeyoufeellessanxious，sleepwellandkeepthin.Therearemanyenvironment-Whateversportyoutakeup，youcanmakeitgreenerthanbyusingenvironment-friendlyequipmentandbuyingproductsmadefromrecycledmaterials.Butthefinalgoalshouldbe“greengyms”．Theyarebetterreplacements(替代)fortraditionalhealthclubsandmodernsportscenters.Membersofgreengymsplaysportsoutdoors，inthecountrysideorotheropenspaces.Thereisnospecialrequirementforyoutostartyourmembership(會員身份)．Andbestofall，it'sfree.Whateversportyoutakeup，(A)19.Whichoffollowingdoestheauthormostprobablysupportaccordingtothepassage?A．Bicyclingaroundthelake.B．Carracingontheroad.C．Playingbasketballinagym.D．Swimminginasportscentre.(D)20.Whatdoestheunderlinedphrase“resource-hungry”inthispassagemeaninChinese?A．廣為流行的B．親近自然的C．低成本的D．耗費資源的(A)19.Whichoffollowingdoe(C)21.Theauthorusespowerwalkingasanexamplemainlybecause________．A．itisanoutdoorsportB．itislovedbymanypeopleC．itusesfewerrecoursesD．itissupportedbyexperts(B)22.Theauthorwritesthepassageto________．A．showusdisadvantagesofgolfB．urgeustotakepartingreensportsC．explainthemajorsportsinfluenceofpopularsportsD．discussdifferentkindsofenvironment-friendlysport(C)21.TheauthorusespowerCLaoShewroteTeahousein1957.TheplayshowstheaudiencelifeinChinabetween1898and1945.IttakesplaceinateahouseinoldBeijingandittellsusthestoryofWangLifaandhiscustomers.Itasksustoseetheteahouseasthecentreoftheneighbourhood.Finally，itsaysgoodbyetooldBeijinganditspeople.CThestorystartsin1898duringtheQingDynasty.Itcontinuesin1916，andfinally，itbringstheaudiencetotheendoftheAnti-JapaneseWarin1945.Afterthewar，Wanglosestheteahouseandhedies.LaoShewasborninBeijingin1899.HisparentssenthimtotheTeacher'sSchoolinBeijingandhelearnedtoteach.From1924to1929hetaughtChinesetotheEnglishinLondon.Hewrotemanyplays，novelsandshortstories.Hewasnameda“People'sArtist”anda“GreatMasterofLanguage”．HewasoneofthegreatestChinesewritersofthe20thcentury.Thestorystartsin1898duInLaoShe'sTeahousetoday，waitersbringteatothecustomersandsellthemdeliciousChinesefood.IfyoulikeBeijingOpera，folkmusic，acrobaticsormagicshows，youcanenjoythemintheteahouse.LaoShe'sTeahousegivesawonderfulwelcometoeveryonefromChinaandfromallovertheworld.InLaoShe'sTeahousetoday(B)23.What'sthemainideaofParagraph4?A．LaoShe.B．LaoShe'sTeahouse.C．ThestoryofTeahouse.D．TheplayTeahouse.(D)24.HowmanyyearsoflifeinChinaisshownintheplayTeahouse?A．57years.B．45years.C．98years.D．47years.(B)23.What'sthemainideao(A)25.LaoShewasallofthefollowingexcept________．A．a(chǎn)bossofTeahouseB．a(chǎn)People'sArtistC．a(chǎn)GreatMasterofLanguageD．oneofthegreatestChinesewritersofthe20thcentury(C)26.WhowerewelcometoLaoShe'sTeahousetoday?A．OnlyChinesecustomers.B．Onlyforeigncustomers.C．Everycustomerfromhomeandabroad.D．OnlyBeijingOperaaudience.(A)25.LaoShewasalloftheDSpecialBridgesHelpAnimalsCrosstheRoad

ReportedbySheilaCarrickWhydidthechickencrosstheroad?Togettotheotherside.Mostpeopleknowthisjoke.Butrecently，somepeoplehavebeenmuchmoreworriedabouthowthegrizzlybear(灰熊)andmountainlioncancrosstheroad.D“MillionsofanimalsdieeachyearonUSroads，”theFederalHighwayAdministrationreports.Infact，onlyabout80ocelots，anendangeredwildcat，existintheUStoday.Themainreason?Roadkill.“Ecopassages(生態(tài)通道)”mayhelpanimalscrosstheroadwithoutbeinghitbycars.Theyarepathsbothoverandunderroads.“Theseecopassagescanbeextremelyuseful，sothatwildlifecanavoidroadaccidents，”saidJodiHiltyoftheWildlifeProtectionSociety.“MillionsofanimalsdieeaButdoanimalsactuallyusetheecopassages?Theanswerisyes.PaulBeierofNorthernArizonaUniversityfoundfootmarksleftbymountainlionsonanecopassagethatwentunderahighway.Thisshowedthatthelionsusedthepassage.Buildersofecopassagestrytomakethemlooklikeanaturalpartofanareabyplantingtreesonandaroundthem.Animalsseemtobecatchingon.Animalsasdifferentassalamanders(火蜥蜴)andgrizzlybearsareusingthebridgesandunderpasses.Thenexttimeyouvisitaparkordrivethroughanareawithalotofwildlife，lookaround.Youmightseeananimaloverpass!Butdoanimalsactuallyuse(D)27.Thewriterusestheexampleof“ocelots”toshowthat________．A．wildanimalshavebecomemoredangerousB．thedrivingconditionshaveimprovedgreatlyC．themeasureforprotectingwildlifefailstoworkD．a(chǎn)nincreasingnumberofanimalsarekilledinroadaccidents(D)27.Thewriterusestheex(D)28.Fromthepassage，weknowanecopassageis________．A．a(chǎn)nundergroundpathforcarsB．a(chǎn)fencebuiltforthesafetyoftheareaC．a(chǎn)bridgeforanimalstogetoverariverD．a(chǎn)pathforanimalstocrosstheroad(D)28.Fromthepassage，wekn(B)29.Whenthewritersaysthat“Animalsseemtobecatchingon”，hemeans________．A．a(chǎn)nimalsbegintorealizethedangersontheroadB．a(chǎn)nimalsbegintolearntouseecopassagesC．a(chǎn)nimalsarecrossingtheroadingroupsD．a(chǎn)nimalsareincreasinginnumber(B)29.Whenthewritersayst(D)30.Thewriterasksvisitorsanddriverstolookaroundwhentravellingbecause________．A．wildanimalsmayattackcarsB．wildanimalsmayjamtheroadC．theymayseewildanimalsintheparkD．theymayseewildanimalsonecopassages(D)30.Thewriterasksvisito三、詞匯運用(共15小題；每小題1分，滿分15分)A．用方框中所給詞語的適當形式填空。每詞限用一次。31．MrLihasmadea__decision__totraveltoBeijing.32．Theschool__provides__thestudentswithdeliciousfoodeveryday.33．Hejustsat__in__silence__anddidn'tsayanywords.34．Ihavebeentoseveral__European__countries，suchasEnglandandFrance.35．Youcan'tgo__across__thestreetwhenthetrafficlightsturnred.三、詞匯運用(共15小題；每小題1分，滿分15分)B．根據(jù)短文內(nèi)容和所給中文提示，在空白處寫出單詞的正確形式。每空限填一詞。Itis8：30amattheChengduResearchBase.LinWei，apandakeepers，ispreparingthemilkforthebabypandas'36.__breakfast__(早餐)．At9：00am，shefindsthatmostofthebabiesarealready37.__awake__(醒著的)andhungry.Whenthebabiesseethekeepers，theyrunoverwithexcitement，andsomeofthemeven38.__walk__(行走)intotheirfriendsandfallover!They'resocuteandlovely.LinWeitakescareofthemlikethey'reher39.__own__(自己的)babies.Shewashes，feedsandplayswiththemeveryday.B．根據(jù)短文內(nèi)容和所給中文提示，在空白處寫出單詞的正確形式。Pandasdonothavemanybabies，maybeonlyoneeverytwoyears.Thebabiesoften40.__die__(死亡)fromillnessesanddonotliveverylong.Adultpandasspendmorethan12hoursadayeatingabout10kilosofbamboo.Manyyearsago，therewerealotmorebambooforestsandpandasinChina.Butnowpandasareingreat41.__danger__(危險)．Peoplecutdownmanybambootreessotheyarelosingtheirhomes.Thereareabout1，59042.__wild__(野生的)pandaslivingintheforestsinSichuan，ShaanxiandGansuprovinces.Another200orsoliveinzoosorresearchcentresinChinaandothercountries.PandasdonothavemanybabIt'sa43.__pity__(遺憾)thatmanypeopledon'tknowthat.SothegovernmenthassetupaneducationprogrammeinChengdu.Itteacheschildrenincitiesaboutpandas，andtellsthemaboutthe44.__importance__(重要性)ofsavingthepandas.Butteachingchildrenisonewaytohelp45.__protect__(保護)environmentandsavepandas.TheChinesegovernmentisalsoplantingmorebambootreessotherewillbemoreforestsforpandastolivein.Weallhopethatinthefuturetherewillbealotmorepandasthannow.It'sa43.__pity__(遺憾)that四、語法填空(共10小題；每小題1分，滿分10分)閱讀下面短文，在空白處填入一個適當?shù)脑~，或填入括號中所給單詞的正確形式。Somepeoplestillliveintheirhometown.However，othersmayonlyvisit46.__it__onceortwiceayear.MillionsofChineseleavethecountryside47.__to__search__(search)forworkinthecities.AmongtheseisHuaXing.He48.__has__lived__(live)inWenzhouforthelast13years.Withahardjob49.__in__afactory，heseldomvisitshishometown.“Ihaven'tbeenback50.__for__threeyears.It's

ashame，”hesays.四、語法填空(共10小題；每小題1分，滿分10分)51．__Developments__(develop)havebeengoodinHuaXing'shometownsince2002，forexample，newroads52.__have__appeared__(appear)．Anewschool53.__has__been__built__(build)．However，somethingswillneverchangeinhishometown.Thebigoldtreeisstillbesidetheplayground.Childreninhistime54.__usually__(usual)likedtoplaytogetherunderit.Itwas55.__such__happychildhood.51．__Developments__(develo五、(2017邵陽中考)任務型閱讀(共5小題；每小題1分，滿分5分)

閱讀下列短文，在空白處(56—60)填入與短文內(nèi)容相符的信息，完成閱讀摘記。MaciekCzastkawasborninLodz，Poland.HecametoChinaseveralyearsago.Sofar，hehasbeenworkinginChengduforthreeyears.五、(2017邵陽中考)任務型閱讀(共5小題；每小題1分，“TheBeltandRoadInitiative(一帶一路的倡議)ismeaningful，”hesaid.“Thankstoit，weareofferedmorechances.”ThemostpowerfulsupportforChengdutothrive(興盛)alongtheBeltandRoadistheChengdu-Europeexpressrailway(高速鐵路)．ItprovidesdirecttrainservicesbetweenChengduandthecityofLodz.Becauseoftheexpressrailway，trainscanbringthingsfromChinatoEurope.Atthesametime，theycanbringbackEuropeanfood，wine，meatandsoon.In2016，atotalof460trainsranbetweenChengduandEurope.Thenumberisexpectedtogrowto1，000thisyear.“TheBeltandRoadInitiatiSincetheChengdu-Lodzexpressrailwaywasopened.Chengdu，togetherwithothercitiesinwestChina，hasdevelopedclosetradetieswiththeEuropeancountry.PolandisoneofthelargestappleproducersinEurope.Czastka'scompanyhelpsfarmersinPolandselltheirapplestoChina.MoreandmoreEuropeanproductswillbesenttoChinainthefuture.SincetheChengdu-Lodzexpr中考數(shù)學基礎過關復習第一章數(shù)與式第6課時因式分解課件98六、書面表達(共1小題；滿分25分)請你以“WhatShouldWeDoinEnglishClass？”為題寫一篇英語短文，談談在英語課堂上學生應該怎樣做，才能使英語學習更有效。提示：1.Listentotheteacher；2．Takepartinactivities；3．Beconfidentinourselves.要求：1.文稿須包括所有提示內(nèi)容，可適當發(fā)揮；2．文稿中不得出現(xiàn)真實人名、校名和地名；3．詞數(shù)：60～80個。參考詞匯：takenotes，workingroupswith…，notbeafraidof…六、書面表達(共1小題；滿分25分)WhatShouldWeDoinEnglishClass?InEnglishclass，weshould__listen__to__the__teacher__carefully__and__take__notes__when__necessary.Try__to__answer__questions__in__English.We__should__take__part__in__all__kinds__of__activities__like__reading，writing，having__discussions__and__playing__games.We__need__to__work__in__group__with__our__classmates__to__help__each__other__and__learn__from__each__other.__It's__very__important__to__be__confident.Speak__English__loudly__in__front__of__the__class__and__never__be__afraid__of__making__mistakes.In__this__way，we__can__make__much__progress.__

WhatShouldWeDoinEnglishC第6課時因式分解第6課時因式分解中考考什么中考考什么A(a+3)(a-3)a(b+2)(a+b)21.(2017·北部灣模擬)多項式x2-4分解因式的結(jié)果是（）A.（x+2）（x-2）B.（x-2）2C.（x+4）（x-4）D.x（x-4）2.(2017·欽州一模)分解因式：a2+2ab+b2=

.3.（2016·南寧）分解因式：a2-9=

.4.（2016·欽州）分解因式：ab+2a=.A(a+3)(a-3)a(b+2)(a+b)21.(2017核心考點解讀核心考點解讀把一個多項式化為幾個整式的

的形式，這樣的式子變形叫做這個多項式的因式分解，也叫做把這個多項式分解因式.

因式分解積考點1把一個多項式化為幾個整式的

因式分解的基本方法1.提公因式法：如果多項式的各項有公因式，可以把這個公因式提取出來，將多項式寫成公因式與另一個因式的乘積的形式，這種分解因式的方法叫做提公因式法.pa+pb+pc=p(a+b+c).考點2因式分解的基本方法1.提公因式法2.公式法（1）兩個數(shù)的平方差，等于這兩個數(shù)的和與這兩個數(shù)的差的積.a2-b2=

.(2)兩個數(shù)的平方和加上（或減去）這兩個數(shù)的積的2倍，等于這兩個數(shù)的和（或差）的平方.a2+2ab+b2=

;a2-2ab+b2=

.(a+b)(a-b)(a+b)2(a-b)22.公式法(a+b)(a-b)(a+b)2(a-b)2x2+（p+q）x+pq=（x+p）（x+q）．十字相乘法：x2+（p+q）x+pq=（x+p）（x+q）怎么考怎么考1．下列各式由左到右的變形中，屬于分解因式的是（

）

A．a(chǎn)（x+y）=ax+ay B．x2－4x+4=x（x－4）+4 C．10x2－5x=5x（2x－1） D．x2－16+6x＝（x+4）（x－4）+6x

C焦點1因式分解的概念1．下列各式由左到右的變形中，屬于分解因式的是（ ）C焦點1.下列各式由左邊到右邊的變形中，屬于因式分解的是（）A.a(x+y)=ax+ayB.x2-4x+4=x(x-4)+4C.10x2-5x=5x(2x-1)D.x2-16+6x=(x+4)(x-4)+6xC對應訓練1.下列各式由左邊到右邊的變形中，屬于因式分解的是（）［命題規(guī)律］主要考查分解因式的概念，常以選擇題形式呈現(xiàn).［方法指導］因式分解是把一個多項式分解成幾個整式乘積的形式，注意：①分解的是多項式；②整式；③積.［命題規(guī)律］主要考查分解因式的概念，常以選擇題形式呈現(xiàn).焦點2因式分解樣題2

分解因式：ax+ay=

.a（x+y）［解析］觀察等式的左邊，提取公因式a即可求得答案.焦點2焦點2因式分解a（x+y）［解析］觀察等式的左邊，變式訓練2.（2016·百色）分解因式：16-x2=（）A.（4-x）（4+x）B.（x-4）（x+4）C.（8+x）（8-x）D.（4-x）23.(2016·梧州)分解因式：2x2-2=（）A.2（x2-1）B.2（x2+1）C.2（x-1）2D.2（x+1）（x-1）AD變式訓練AD［命題規(guī)律］考查分解因式的意義與兩種基本的分解因式的方法.以選擇題和填空題呈現(xiàn)，題目常以提公因式法和公式法結(jié)合的分解因式為主.［方法指導］（1）pa+pb+pc=p(a+b+c);（2）a2-b2=(a+b)(a-b);（3）a2+2ab+b2=(a+b)2,a2-2ab+b2=(a-b)2.［命題規(guī)律］考查分解因式的意義與兩種基本的分解因式的方法.以補充練習補充練習

1．分解因式：2a2－6a=

．2．下列分解因式正確的是（B）A．3x2-6x=x（3x-6） B．-a2+b2=（b+a）（b-a）C．4x2-y2=（4x+y）（4x-y） D．4x2-2xy+y2=（2x-y）23．分解因式：2a2－8=

．4．分解因式：

3a2－12ab+12b2=

．2a（a－3）

2（a+2）（a－2）

3（a－2b）2

2a（a－3）2（a+2）（a－2）3（a－2b）27.下列多項式中，能用提公因式法分解因式的是()A.x2-yB.x2+2x

C.x2+y2

D.x2-xy+y2

5.分解因式：3x2-3=

.6.分解因式：X2+2xy+y2-4=

.3(x+1)(x-1)(x+y+2)(x+y-2)B8.分解因式：a2-4a+4=

.

(a-2)27.下列多項式中，能用提公因式法分解因式的是()59.分解因式：a3+2a2+a=

.10.將下列式子因式分解x-x2-y+y2=

.a(a+1)2(x-y)(1-x-y)9.分解因式：a3+2a2+a=.111.關于x的一元二次方程x2+bx+c=0的兩根為x1＝1，x2＝2，則x2+bx+c分解因式的結(jié)果為：

.12.分解因式：x2-4y2+x-2y=

.

(x-2y)(1+x+2y)（x-1）(x-2)11.關于x的一元二次方程x2+bx+c=012.分解因式：

一、完形填空(共15小題；每小題1分，滿分15分)閱讀下面短文，掌握其大意，然后從每題所給的A、B、C、D四個選項中選出最佳選項。Lifeisfulloftheunexpected.__1__acoldwinterafternoon，amansawanoldladystandingbyherexpensivecarandclearlysheneededhelp.Sohestoppedand__2__hisoldtruck.“Ishegoingtohurtme?Hedoesn'tlooksafe，”theoldladywas__3__．(B)1.A.InB．OnC．AtD．Under(D)2.A.wentoffB．turnedoffC．tookoffD．gotoff(C)3.A.gladB．excitedC．worriedD．surprised

(B)1.A.InB．OnC．AtD．UnThemancouldseethatshewasafraid，sohesaidinhisfriendliest__4__，“I'mheretohelpyou，madam.Whydon'tyou__5__inthecarwhereit'swarm？__6__，mynameisTedJohnson.”Tedquicklyfixedthecarandtheladythankedhim.Thensheasked__7__sheshouldpayhim.(A)4.A.voiceB．soundC．noiseD．look(A)5.A.waitB．towaitC．waitedD．waits(D)6.A.InawayB．OnmywayC．UnderthewayD．Bytheway(B)7.A.howmanyB．howmuchC．howfarD．howoftenThemancouldseethatsheButTedwanted__8__money.Hewasjustgivingahandtosomeoneintrouble.__9__wasnormalforhimtodosuchathinglikethat.Hesaid，“Ifyoureallywanttorepay(報答)me，nexttimeyouseesomeoneinneed，thinkofmeandhelpthem.”(B)8.A.notB．noC．someD．a(chǎn)ny(C)9.A.ThisB．ThatC．ItD．TheyButTedwanted__8__money.HAftersayinggoodbye，theladycontinueddowntheroaduntilshereachedasmall__10__whereshedecidedtostopforsomethingtoeat.Astheprettywaitresstookherorder，theladynoticedshewas__11__eightmonthspregnant(懷孕)．Thewaitresslookedtiredandweak，__12__shewasverykind.Astheladywasgoingtopaythe$10bill，sherememberedTed'swords.(A)10.A.restaurantB．bookstoreC．cinemaD．library(C)11.A.mostlyB．hardlyC．nearlyD．seldom(B)12.A.soB．butC．orD．thoughAftersayinggoodbye，thelaAftertheladywasgone，thewaitresssawasmallnoteonthetable.Itsaid，“SomebodyoncehelpedmethewayI'mhelpingyou.Continuebeingkindtootherpeople.”Underthenotewerefive__13__dollars.Thewaitresswas__14__excitedthatshecalledherhusbandtotellhimthenews，“Ted…TedJohnsonmydear…you'renotgoingtobelieve__15__justhappened…”(A)13.A.hundredB．hundredsC．hundredofD．hundredsof(D)14.A.tooB．veryC．suchD．so(C)15.A.howB．whenC．whatD．whyAftertheladywasgone，the二、閱讀理解(共15小題；每小題2分，滿分30分)閱讀下面四篇短文，從每題所給的A、B、C、D四個選項中選出最佳選項。A(2017廣東中考改編)二、閱讀理解(共15小題；每小題2分，滿分30分)中考數(shù)學基礎過關復習第一章數(shù)與式第6課時因式分解課件98(C)16.TheWorldPoetryDayison________．A．August28thB．March3rdC．March21stD．August28th(D)17.ThepurposeoftheWorldPoetryDayis________．A．toencouragetheBritishtowritepoemsB．toteachchildrenhowtoreadandwritepoemsC．toraisemoneyforthepoetsfromallovertheworldD．tohelppeopletoread，writeandteachpoemsbetter(C)16.TheWorldPoetryDayi(A)18.TherulesforthecompetitionincludethefollowingEXCEPT________．A．thatpoetscanwritepoemsinanylanguageB．thatpoetsmustusetheirunpublishedpoemsC．thatpoemscan'tbewrittenonthesubjectofviolenceordrugsD．thatpoemscan'tbetakenbackafterthecompetition(A)18.TherulesforthecompBSportscanhelpyoukeepfitandclosetonature.However，whetheryouareonthemountains，inthewaves，oronthegrassland，youshouldrealizethatsportyouchoosemighthavegreatinfluenceontheenvironment.BSomesportsareresource-hungry．Golf，asyoumayknow，eatsupnotonlylargeareasofcountryside，butalsolotsofwater.Besides，hugeamount