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解方程或解方程组
我们规定若关于x的一元一次方程ax=b的解为b﹣a则称该方程为差解方程例如2x=4的解为2且2=4﹣
解方程解方程+=1.
解方程.
规定若关于x的一元一次方程ax=b的解为b+a则称该方程为和解方程．例如方程2x=-4的解为x=-2
解方程组
解方程及不等式组解方程
我们规定若关于x的一元一次方程ax=b的解为b﹣a则称该方程为差解方程例如2x=4的解为2且2=4﹣
解方程:解方程:
我们规定若关于x的一元一次方程ax=b的解为b﹣a则称该方程为差解方程例如2x=4的解为2且2=4﹣
解方程组代入法及加减法两种方法解方程
解方程x²－2x－3=0
解方程或解方程组
解方程3x+1=7
下列解方程的过程中正确的是
x
2
＝－2，解方程，得x＝±
（x－2)
2
＝4，解方程，得x－2＝2，x＝4
4(x－1)
2
＝9，解方程，得4(x－1)＝±3，x
1
＝
，x
2
＝
(2x＋3)
2
＝25，解方程，得2x＋3＝±5，x
1
＝1，x
2
＝－4
理解同解方程的定义再解题1同解方程的定义为如果两个方程的解相同那么这两个方程叫同解方程反之如果两个方
马虎与粗心两位同学解方程组时马虎看错了m解方程组得粗心看错了n解方程组得试求:1常数mn的值;2原方
解方程:配方法解方程
我们规定若关于x的一元一次方程ax=b的解为b+a则称该方程为和解方程．例如方程2x=-4的解为x
某同学在解方程-1去分母时方程右边的-1没有乘以3因而求得方程的解为x=2试求a的值并正确的解方程．
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已知函数fx＝2sinωx+φω＞0满足fπ＝0且fx在区间上单调则ω的值有个．
Irememberoneofmylastfewyearsatanamusementpark.Ihadspentaboutfiveyearsworkingabooth货摊acrossfroman1comedian喜剧演员. HisnamewasMoonie.Hewas2amazingandhisactwasdoneusingnothingbutgesturesandnoisesinsteadof3.Irememberwatchinghisshowsandalwaysbeing4.Evenwhenhewashavingabaddaytheaudiencewasn't5orhistightropeskillsweren'tasgoodashewouldhavelikedhealways6tokeepthingsfunnyandfresh.That'savery7thingtodoconsideringIwatchedhimdothesameactforfiveyearsseveraltimesadayeachweekend. WhenIhearditwouldbehis8yearperformingattheamusementparkIhadwantedto9himforalltheamazingshowshehaddoneonthatstage.Hewas10withthecrowdafteroneofhislastshowsoftheday.Aseachpersondroppeda11intohisbigbaskethewaspointingatthemwithahugesmileandthensayingNoyou'rethe12!toeachone. I13himanddroppedatwenty﹣dollarbillintohisbasket.HeturnedtomethensmilingverybrightlyandcontinuedwithanotherNoyou'rethegreatest!I14himdirectlyandstoppedhimsayingNoMoonieyouarethegreatest.Ihavebeen15yourshowsforfiveyearsfromthatboothrightoverthere.AndIjustwanttosaythankyoufortheyearsofamazing16thatyouhavegivenme. Thelookonhisfacesaidthathewastrulytouchedbythat17.Heaskedmewhatmy18wasandaskedtoshakemyhand.I19andwesharedaverydeepmomentofmutual相互的20andgratitude.IwalkedawaywithgreathappinessandIknowhedidtoo. 1A.boring B.wonderful C.strange D.honest 2A.partly B.regularly C.absolutely D.probably 3A.features B.articles C.words D.sounds 4A.entertained B.frightened C.touched D.annoyed 5A.performing B.thinking C.moving D.cooperating 6A.managed B.failed C.planned D.supported 7A.easy B.hard C.common D.dangerous 8A.last B.first C.own D.main 9A.remember B.scare C.forgive D.thank 10A.fighting B.comparing C.standing D.arguing 11A.card B.tip C.ticket D.toy 12A.greatest B.funniest C.highest D.richest 13A.killed B.educated C.comforted D.approached 14A.calledon B.cameacross C.talkedabout D.lookedat 15A.discussing B.helping C.watching D.learning 16A.lessons B.games C.shows D.lectures 17A.question B.comment C.wish D.story 18A.name B.result C.idea D.right 19A.refused B.left C.accepted D.followed 20A.humor B.pressure C.surprise D.respect
Weareallcalledupontomakeaspeechatsomepointinlifebutmostofusdon'tdoaverygoodjob.1. Soyouhavetogiveaspeech﹣andyouareterrified.Yougetnervousyouforgetwhatyouwanttosayyoustumble结结巴巴overwordsyoutalktoolongandyouboreyouraudience.LateryouthinkThankGoodnessit'sover.I'mjustnotgoodatpublicspeaking.IhopeIneverhavetodothatagain. Cheepup!2.Herearesomesimplestepstotakethepainoutofspeechmaking.Askyourselfthepurposeofyourspeech.Whatistheoccasion?Whyareyouspeaking?Thengatherasmanyfactsasyoucanonyoursubject.Spendplentyofyourtimedoingyourresearch.Thenspendplentyofyourtimeorganizingyourmaterialsothatyourspeechisclearandeasytofollow.Useasmanyexamplesaspossibleandusepictureschartsandgraphsiftheyhelpyoumakeyourpointsmoreclearly. 3Don'ttalkovertheirheadsanddon'ttalkdowntothem.Treatyouraudiencewithrespect.Theywillappreciateyourthoughtfulness. JustrememberBeprepared.Knowyoursubjectyouraudienceandtheoccasion.Bebrief.4Andbeyourself.Letyourpersonalitycomethroughsothatyoumakeperson﹣to﹣person contactwithyouraudience. Ifyoufollowthesesimplestepsyouwillseethatyoudon'thavetobeafraidofpublicspeaking.Infactyoumayfindtheexperiencesoenjoyablethatyouvolunteertomakemorespeeches!You'renotconvincedyet?5. A.Itdoesn'thavetobethatbad. B.Takeseveraldeepbreathsbeforeyourspeech. C.Thisarticlegivessomeadviceonhowtogiveagoodspeech. D.Saywhatyouhavetosayandthenstop. E.Don'tsaywhatyouaren'tfamiliarwith. F.Neverforgetyouraudience. G.Giveitatryandseewhathappens.
在△ABC中角ABC的对边分别为abc且． 1求cosB 2若a＝2求△ABC的面积．
已知椭圆N+＝1a＞b＞0经过点C01且离心率为． 1求椭圆N的方程 2直线ly＝kx﹣与椭圆N的交点为AB两点线段AB的中点为M是否存在常数入使∠AMC＝λ•∠ABC恒成立并说明理由．
在四棱锥P﹣ABCD中AD∥BC平面PAC⊥平面ABCDAB＝AD＝DC＝1 ∠ABC＝∠DCB＝60°E是PC上一点． Ⅰ证明平面EAB⊥平面PAC Ⅱ若△PAC是正三角形且E是PC中点求三棱锥A﹣EBC的体积．
Thereareexcellentreasonsforanyonetoseekouttheoptimistic.Optimistsexperiencebetterhealthoutcomeslivelongerandaremoresatisfiedwiththeirrelationships.Optimismenablespeopletoholdoninthefaceofdifficultywhilepessimismleavesthemdepressedandevenexpectingfailure. Iwantthathopefuloptimisticoutlookformychildren.Butmanytimeswemayfeelpessimistic.Theresultofnegativitymakesmeworrythatmykids'futurewillbeuncertain.Fortunatelyresearchsuggestswaystohelpourchildrengrowupwithanoptimisticattitudeandmaintainahappieroutlookourselves. Humanityhasimprovedbymanymeasuresbutthatsuccesshasbecomethewaterinwhichweswimandlikefishwetakethewaterforgranted.Whilewefailtonoticethepositiveourbrainsnaturallyemphasizeonthenegative.Withpracticewecanhelpourbrainstogivethegoodstuffequalweight.Dr.Hanson'sadvicewhenyouhearagreatstoryorachievesomethinginyourownlifedeliberatelyrestyourmindonthatexperienceandstaywithit.Sinkintothatfeelingasitsinksintoyou.Describewhatyou'redoingtoyourkidsandencouragethemtodwellontheirjoysandpleasuresaswell. Followingthebigscarynewscanleaveusfeelinghelpless.Findsomethinginyourareathatmakesyoufeelhopefulandmakeitapartofyourfamilylife.Researchersfoundthatwhenpeoplewithapessimisticoutlookusepositivelanguagetodescribesituationstheyfindupsettingtheirfeelingsaboutthesituationbecomemorepositive.That'ssomethingwecantryathome. Raisingoptimistickidsishardbecauseitdemandsthatparentsabandonthepessimisticperspectivethat'stheeasiestresponsetopessimistictimes.Putyourenergyintomakingsureyouandyourfamilyareapartoftheworldaroundyou.Thatmightmeansimplyjoiningandbeingpartoflocalclubsthatfeedournaturalhumanneedforconnectionnotofthedigitalkind. 1Whydopeoplelookuptooptimists? A.They'relikethewateraroundtheworld. B.Theycanmakepessimistictimeshopeful C.Theyenablepeopletoholdonindifficulty. D.Theyaffectthegovernmentandeducation. 2What'sthenegativeeffectoftakingsuccessforgranted? A.Peoplewillfeelpessimisticwhentheyseenosuccess. B.Peoplewillfeelsatisfiedwiththeirslightestsuccess. C.Peoplewillthinkonlyabouttheirjoysandpleasures. D.Peoplewillfeelfrightenedtohearbigscarynews. 3Whichofthefollowingdoestheauthoragreewith? A.Bigscarynewscanremindusofpotentialdanger. B.Optimismissomethingonewasbornwith. C.Humanprogressleadstothefeelingofhappiness. D.Pessimisticparentscan'traiseoptimisticchildren. 4Whichofthefollowingisthebesttitleforthepassage? A.TheHarmofTakingOptimismforGranted. B.WaystoRaiseOptimisticKids. C.WaystoTurnPessimismintoOptimism. D.IntroductiontoPositiveLanguageforPeople.
如图所示点F是抛物线y2＝8x的焦点点AB分别在抛物线y2＝8x及圆x﹣22+y2＝16的实线部分上运动且AB总是平行于x轴则△FAB的周长的取值范围是
假定你是李华你了解到2020年北京冬奥运会正在全国招募志愿者你想报名请用英语写一封邮件申请参加主要内容包括1.表达写信意图及应聘目的2.自我介绍能力性格等3.表达期望注意1词数80左右2可以适当增加细节以使行文连贯3.不能使用真实姓名和学校名称.DearSir/MadamYoursLiHua
在直角坐标系xOy中曲线t为参数以坐标原点O为极点以x轴的正半轴为极轴建立极坐标系曲线C2的极坐标方程为． 1求曲线C1的极坐标方程 2已知点M20直线l的极坐标方程为它与曲线C1的交点为OP与曲线C2的交点为Q求△MPQ的面积．
假定英语课上老师要求同桌之间交换修改作文请你修改你同桌写的以下作文.文中共有10处错误每句中最多有两处每处仅涉及一个单词的增加删除或修改. 增加在缺词处加一个漏字符号∧并在其下面写出该加的词. 删除把多余的词用斜线\划掉. 修改在错的词下面画一横线并在该词下面写出修改后的词. 注意1.每处错误及其修改均仅限一词 2.只允许修改10处多者从第11处起不计分. ThismorningIfoundredwalletonthecampus.GirlsusuallikeredsoIbelievedthewalletwasbelongedtoagirlstudent.Iopenedittrytofindoutwhoseitwas.ThereforeIfoundnothingbut300yuaninit.IwaswonderingwhattodowithitwhilesuddenlymyclassmatesChenYangpassedby.ShesuggestedsheputupaLostandFoundnoticeandIdidso.Iwrotedownmytelephonenumberandasktheownertocallmeaftershesawit.Lateragirlcametoclaimiton3o'clockthisafternoon.
已知fx是定义域为﹣∞+∞的奇函数满足f1﹣x＝f1+x若f1＝2则f1+f2+f3+…+f50＝
设函数fx＝|x﹣m|+|x+n|其中m＞0n＞0． 1当m＝1n＝1时求关于x的不等式fx≥4的解集 2若m+n＝mn证明fx≥4．
在矩形ABCD中AB＝2AD以AB为焦点的双曲线经过CD两点则此双曲线的离心率为
Thereareseveralreasonswhyschooluniformsaregoodidea.Firstofalluniformshelptheschoollooksmart.Thestudentsfeelthattheybelongtoaparticulargroup.Wheneverypupilintheschoolwearstheuniformnobody1havetoworryaboutfashion时尚.Everybodywears2samestyleofclothes.Uniformscanbeusefulinunexpectedways.AschoolinIrelandhasintroducedaninterestingnewuniform.Ontheedgeofthejacketthereisapieceofcloth3givesofflightinthedark.Whenthechildrenarewalkingor4cycletoschoolondarkmorningscardriverscan5easyseethem. Butcanuniformshelpimproveschoolstandards?Theanswer6thisquestionisnotclear.OnestudyinAmericafoundthatstudents'grades7improvealittleaftertheschoolintroduceduniforms.Butsomestudentsdidn'twant8weartheuniform.OtherAmericanstudiesshowedno9connectbetweenuniformsandschoolperformance. Schooluniformsare10traditioninBritainbutsomeschoolsarestartingtogetridofthem.Someverygoodschoolsdon'thaveauniformpolicy.Howeveruniformsarestillpopular.Pupilsatabout90percentofBritishsecondaryschoolswearuniforms.
如图在三棱柱ABC﹣A1B1C1中AA1⊥底面A1B1C1∠ACB＝90°BC＝CC1＝1P为BC1上的动点则CP+PA1的最小值为
某手机公司生产某款手机如果年返修率不超过千分之一则生产部门当年考核优秀现获得该公司2010﹣2018年的相关数据如表所示 1从该公司2010﹣2018年的相关数据中任意选取3年的数据以X表示3年中生产部门获得考核优秀的次数求X的分布列和数学期望 2根据散点图发现2015年数据偏差较大如果去掉该年的数据试用剩下的数据求出年利润y千万元关于年生产量x万台的线性回归方程精确到0.01． 部分计算结果 附 线性回归方程中．
函数y＝logax+4+2a＞0且a≠1的图象恒过点A且点A在角θ的终边上则sin2θ＝
Description TheNationalGalleryistheBritishnationalartmuseumbuiltonthenorthsideofTrafalgarSquareinLondon.Ithousesadiversecollectionofmorethan2300examplesofEuropeanartrangingfrom13th﹣centuryreligiouspaintingstomoremodernonesbyRenoirandVanGogh.TheoldercollectionsofthegalleryarereachedthroughthemainentrancewhilethemoremodernworksintheEastWingaremosteasilyreachedfromTrafalgarSquarebyagroundfloorentrance LayoutThemodernSainsburyWingonthewesternsideofthebuildinghouses13th﹣to15th﹣centurypaintingsandartistsincludeDuccioUccelloVanEyckLippiMantegnaBotticelliandMemling. ThemainWestWinghouses16th﹣centurypaintingsandartistsincludeLeonardodaVinciCranachMichelangeloRaphaelBruegelBronzinoTitanandVeronese. TheNorthWinghouses17th﹣centurypaintingsandartistsincludeCaravaggioRubensPoussinVanDyckVelazquezClaudeandVermeer. TheEastWinghouses18th﹣toearly20th﹣centurypaintingsandartistsincludeCanalettoGoyaTurnerConstableRenoirandVanGogh. OpeningHoursTheGalleryisopeneverydayfrom10amto6pmFridays10amto9pmandisfreebutchargesapplytosomespecialexhibitions. GettingThere NearestundergroundstationsCharingCross2﹣minutewalkLeicesterSquare3﹣minutewalkEmbankment7﹣minutewalkandPiccadillyCircus8﹣minutewalk. 1Inwhichcentury'scollectioncanyouseereligiouspaintings? A.The13th. B.The17th. C.The18th. D.The20th. 2WhereareLeonardodaVinci'sworksshown? A.IntheEastWing. B.InthemainWestWing. C.IntheSainsburyWing. D.IntheNorthWing. 3WhichundergroundstationisclosesttotheNationalGallery? A.PiccadillyCircus. B.LeicesterSquare. C.Embankment. D.Charing.
已知则a1＝．
设函数fx＝x2﹣alnx． 1讨论函数fx的单调性 2当a＝2时 ①求函数fx在上的最大值和最小值 ②若存在x1x2…使得fx1+fx2+…+fxn﹣1≤fxn成立求n的最大值．
2018年晓文同学参加工作月工资为7000元各种用途占比统计如下面的条形图．后来晓文同学加强了体育锻炼目前月工资的各种用途占比统计如图的折线图．已知目前的月就医费比刚参加工作时少200元则目前晓文同学的月工资为
已知ABCD是球O的球面上四个不同的点若AB＝AC＝DB＝DC＝BC＝2且平面DBC⊥平面ABC则球O的表面积为
MyFirstMarathon马拉松 Amonthbeforemyfirstmarathononeofmyankleswasinjuredandthismeantnotrunningfortwoweeksleavingmeonlytwoweekstotrain.YetIwasdeterminedtogoahead. Irememberbacktomy7thyearinschool.InmyfirstP.E.classtheteacherrequiredustorunlapsandthenhitasoftball.Ididn'tdoeitherwell.HelaterinformedmethatIwasnotathletic.TheideathatIwasnotathleticstuckwithmeforyears.WhenIstartedrunninginmy30sIrealizedrunningwasabattleagainstmyselfnotaboutcompetitionorwhetherornotIwasathletic.Itwasallaboutthebattleagainstmyownbodyandmind.Atestofwills! ThenightbeforemymarathonIdreamtthatIcouldn'tevenfindthefinishline.Iwokeupsweatingandnervousbutreadytoprovesomethingtomyself. Shortlyaftercrossingthestartlinemyshoelaces鞋带becameuntied.SoIstoppedtoreadjust.NotthestartIwanted! Atmile3IpassedasignGOFORITRUNNERS! Bymile17Ibecameoutofbreathandtheonceinjuredanklehurtbadly.DespitethepainIstayedthecoursewalkingabitandthenrunningagain. Bymile21Iwasstarving! AsIapproachedmile23Icouldseemywifewavingasign.Sheismybiggestfan.Shenevermindedthealarmclocksoundingat4a.m.orquestionedmyexpensesonrunning. Iwasoneofthefinalrunnerstofinish.ButIfinished!AndIgotamedal.InfactIgotthesamemedalastheonethattheguywhocameinfirstplacehad. Determinedtobemyselfmoveforwardfreeofshameandworldlylabels世俗标签Icannowcallmyselfamarathonwinner. 1Amonthbeforethemarathontheauthor. A.waswelltrained B.madeuphismindtorun C.feltscared D.losthope 2WhydidtheauthormentiontheP.E.classinhis7thyear? A.Toacknowledgethesupportofhisteacher. B.Toamusethereaderswithafunnystory. C.Toshowhewasnottalentedinsports. D.Toshareapreciousmemory. 3Howwastheauthor'sfirstmarathon? A.Hemadeit. B.Hequithalfway. C.Hegotthefirstprize. D.Hewalkedtotheend. 4Whatdoesthestorymainlytellus? A.Amanoweshissuccesstohisfamilysupport. B.Awinnerisonewithagreateffortofwill. C.Failureisthemotherofsuccess. D.Oneisnevertoooldtolearn.
已知z＝1﹣i2019则|z+2i|＝
已知在平面四边形ABCD中AB＝BC＝2AC⊥CDAC＝CD则四边形ABCD面积的最大值为．
中国元代数学家朱世杰所著算学启蒙一书中提到关于“松竹并生”的问题松长五尺竹长两尺松日自半竹日自倍松竹何日而长等．意思是“现有松树高5尺竹子高2尺松树每天长自己高度的一半竹子每天长自己高度的一倍问在第几天会出现松树和竹子一般高”如图是源于其思想的一个程序框图若输入a＝5b＝2则输出n的结果为．
“a≤0”是“函数fx＝|xax+1|在区间﹣∞0内单调递减”的
WiththeNewYearweeksapproachingyou'relookingforwardtowatchingthesplendidfireworksshowsthatwillwelcome2019worldwide.Unfortunatelyvisuallyimpairedandblindpeoplecan'texperiencethisjoyfulcelebration.ThatmaychangesoonthankstoFeelingFireworksafireworksexperienceinventedbytheDisneyResearchLabinSwitzerland. Toexperiencetheshowusersstandbeforealargeflexiblescreenplacetheirhandsatthebaseofthescreenandmovethemaroundtofeelthefireworks.Alternativelytheirhandscanbesituatedinthecenterofthescreenwheretheinitialexplosionshappenandthenmovedacrosstoexploreotherfireworks. Asthefireworksbegintoexplodefivenozzles喷嘴atthebackofthescreenstarttoshootwatercreatingmovementofwaterimitatingtheshow.Onespecializesinthebloomingflowereffectanotherreproducesthecrackleeffectandtheresttakecareofrocketsandexplosions.AcomputercontrolsthetimingandFeelingFireworksallowsuserstoexperiencefireworkssimilartothoseinthesky. PaulBeardsleywholedtheresearchteamsaysWewantblindvisuallyimpairedandsightedpeopletoalltryFeelingFireworksandtohaveasharedandenjoyablememoryofafireworksevening.Andthescreendisplayingthevividimagescreatedbywatermakesitfunforeveryone. Thelow﹣costtechnologyisstillinitsearlystagewithonlya66percentsuccessrate.Howevertheteamplanstocontinueimprovingtheexperienceandbelievesthedaywheneveryonewillbeabletoenjoythethrilloffireworksshowsisnotfar.WhenreadyFeelingFireworkswillinitiallybeavailableonlyattheDisneythemeparksandthenhopefullyatfireworksshowsworldwide. 1HowwillFeelingFireworkshelpblindpeople? A.Byimprovingtheirsighttoseefireworks. B.Byplayingthesoundoffireworksforthem. C.Byenablingthemtofeelthefireworksbyhand. D.Byplantingachipintotheirbrainstoseethings. 2Whyiswatersprayedatthebackofthescreen? A.Tocreatetheeffectoffireworks. B.Tokeepthescreencleanofdust. C.Toprotectvisitorsfrombeinghurt. D.Toleadthewayforthefireworks. 3WhatdoestheunderlinedworditinPara.4referto? A.Stayingincompanywithblindpeople. B.Watchingthenozzlesbehindthescreen. C.Findingtheinitialfireworkexplosions. D.Enjoyingthegrandfireworksshow. 4WhatcanweinferaboutFeelingFireworkstechnology? A.Researchintothetechnologycostalot. B.Itneedsimprovementsforagoodsuccessrate. C.IthasbeenputtouseattheDisneythemeparks D.It'sexpectedtoreplacerealfireworksoneday.
函数fx＝C的图象的大致形状是
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（x－2)2＝4，解方程，得x－2＝2，x＝4 4(x－1)2＝9，解方程，得4(x－1)＝±3，x1＝
，x2＝
(2x＋3)2＝25，解方程，得2x＋3＝±5，x1＝1，x2＝－4
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