LinearAlgebra3.3.3CalculationofThelargestIndependentgroupandRankofVectorGroupsExampleCalculateTherankandalargestindependentgroupofThefollowingvectorgroup:Solution:Method1DiscriminatingThecorrelationofvectorgroups.𝛼3=𝛼1+2𝛼2.arelinearlydependentandarelinearlyindependent.𝛼1=(32−1−3−2),Thus,TherankofThevectorgroupis2,andisalargestindependentgroupTheorem8TherankofmatrixAisequaltoTherankofTher...
LinearAlgebra3.3.2PropertiesofTheLargestIndependentGroupsandRankQuestion3.IfThevectorgroupitselfislinearlyindependent,whatisThelargestindependentgroupofThevectorgroup?Property1.AvectorgroupislinearindependentThenumberofvectorsitcontainsisequaltoitsrank.1=1002=,0103=001Conclusion1.I0:1,2,,rislinearlyindependent,ThenThelargestindependentgroupofI0isitself.Forexample,in11,01,10,3=1=...
LinearAlgebra3.3.1DefinitionofTheLargestIndependentGroupandRankofVectorGroupsR:255G:255B:0R:255G:0B:255R:0G:255B:2552550RedGreenBlue002552550002550Thepracticalmeaningofn-dimensionalvectorswhereVisiblecolorsinnaturecanbeobtainedbymixingprimarycolorswithcertainproportions,thatis,anycolorisregardedasalinearcombinationofred,greenandbluecolorvectors.TheprimarycolorsshouldbeindependenttoeachoTher,tha...
专题03必修第三册Unit3Theworldonline目录新知导航：熟悉课程内容、掌握知识脉络基础知识：知识点全面梳理，掌握必备重点记忆：关键点快速记忆，提升能力小试牛刀：考点剖析+过关检测，合理应用学科网（北京）股份有限公司一、核心单词讲解1.takeoff突然大受欢迎，迅速流行；开始成功；(飞机)起飞；脱去(衣服等)；(突然且出人意料地)离开；休假takeaway拿走；夺走takein吸收；理解；欺骗；收留takeon具有，呈现；担任，承担；雇...
Module6UnexplainedMysteriesofTheNaturalWorldTheStonehengeStonehenge,ThemostfamousprehistoricmonumentinBritain,issituatedonSalisburyPlaininThecountyofWiltshire.AtvarioustimesregardedasasitebuiltbyTheDruids,TheRomans,TheDanesandevenTheFrench,Thefirststage—acircularditchandbankwithanentranceflanked1byapairofsmallstandingstones—isbelievedtohavebeenbuiltaround3000BC.Thesitewasabandonedlaterandrebu...
SectionⅡGrammar一二一、单句改错1.AccordingtoTheradio,itcanrainthisevening.2.YoumusthavestudiedEnglishformanyyears,didn’tyou?3.Wemayfinishourworktoday,orwe’llbefined.4.Youmustn’tfinishTheworknow.There’splentyoftime.5.—CouldIuseyourdictionary?—Yes,ofcourseyoucould.一二6.Shetoldhimheoughtnotdoit.7.IpromisedthatIshoulddomybest.8.WhatwillIgetfordinner?9.YourmoTherwasreallyworriedaboutyou.Youw...
Module5ATripAlongTheThreeGorgesHowtokeepatraveldiaryHerearesomegreatwaystomakeyourtraveldiaryTheperfectthingforyourtrip.Choosingyourtraveldiaryisapersonalthing.Itcanbeanythingfromasimplenotebooktoaspiralboundjournal.Picksomethingthatwillbeeasytocarryaroundwithyou.ItshouldhaveapropersizetohandleyourentiretripandnotbeharmfultoTheenvironment.Startyourtraveldiaryrightaway.Useittowritedownyourimpres...
Module5TheGreatSportsPersonalityItistruethatThefirstOlympicGamesofThemoderntimesin1896werenotopentowomen.BaronPierredeCoubertin,whogavenewlifetoTheGames,wasverymuchamanofhistime.Hedidn’tlikewomenshowingupforTheGames.Butsincethistime,thingshavechanged.HistoryshowsthatThenumberofwomentakingpartinTheOlympicGameshasbeenincreasingoverTheyears,sinceTheirfirstparticipation1inThe1900OlympicGamesandesp...
Module1LifeinTheFutureWhatwilllifeinThefuturebelike?Willitbemuchbetterthanitisnow?Andwhatwillwebeabletodo10,20or30yearslater?Let’sjustcloseoureyesandthink!GeneticEngineeringGeneticengineeringwillhelpuscreateTheperfecthuman.Babieswillgrowuptodoslamdunkslikebasketballplayersorlooklikefilmstars.Also,wewillbeabletomixplantsandanimals!Butdoyouwantyourdogtobeatree?TheDeadInThefuture,wewillbeabletobr...
SectionⅢIntegratingSkills一二三一、根据词性及汉语提示写出相关单词1.destructionn.毁坏→(反义词)2.generousadj.慷慨的→n.慷慨3.unpredictableadj.变幻莫测的→(反义词)→v.预测4.emperorn.皇帝→n.女皇,皇后5.positiveadj.正面的→(反义词)6.indicatev.象征,暗示→n.暗示7.fortunen.运气,命运,财富→adj.幸运的→adj.不幸的8.identityn.身份,特性→vt.辨别答案:1.construction2.generosity3.predictable;predict4.empress...
SectionⅣWriting写作指导常用句式写作模板针对训练如何写关于未来生活的短文本模块的写作项目是展开想象,描述未来。这类文章通常分为两段或三段,第一段先叙述我们对未来充满想象,第二段和第三段分别描述我们的想象,以及自己的看法。1.概念:描写未来的作文是想象类作文,通常是指学生运用想象的思维形式写出的文章。2.内容安排:(1)童话类想象作文;(2)假想类想象作文;(3)科学幻想类想象作文;(4)时空穿越类想象作文。3.语言特征:(1...
SectionⅣWriting写作指导常用句式写作模板针对训练游记游记是我们常见的作文体裁之一,有的写一天的游历,有的写某个景点,也有的写某个城市。游记写作技巧:1.明确主题:按旅游时间的长短一般可以分为短期旅游和长期旅游;按地域可以分为国内旅游和国外旅游。2.明确文章类型:游记通常为记叙文。常用一般过去时。3.掌握游记的要素:游览的地点、交通工具、在每个景点的活动、自己的感受。4.文章结构要清晰:注意按时间或地点的顺序,将...
SectionⅡGrammar一二三一、学习下面的生词,选择合适的词并用其恰当形式完成句子lookout小心,当心optimisticadj.乐观的,乐观主义的dishwashern.洗碗碟机1.RaTherthanspendhoursatThekitchensink,I’dprefertobuya.2.ThePresidentsaidhewasthatanagreementcouldbeworkedoutsoon.3.WhencrossingThestreet,forcars.答案:1.dishwasher2.optimistic3.lookout一二三二、阅读下列句子,说出下面句子的时态1.Thenextplanetakesoffat3:00a...
SectionⅢIntegratingSkills一二三一、将下列单词与相对应的释义搭配起来AB1.optimistica.inTheend2.definitelyb.ThesoftpartunderThefootofacat,dogetc.3.eventuallyc.withoutanydoubt4.colonyd.tomakesth.intoaparticularshape5.predicte.hopefulandconfidentaboutThefuture6.shapef.tosaythatsth.willhappen7.padg.acountryorareasettledorconqueredbypeoplefromanoThercountryandcontrolledbythatcountry8.doormath.apieceo...
SectionⅣWriting写作指导常用句式针对训练口头通知是口头传达的消息,其特点是:用词较口语化,句子不会太复杂,通常只需用一段话讲清其内容即可。另外,口头通知的开头和结尾通常都有一定的固定套语,而且口头通知一般不需给出通知的时间和发出通知的单位。口头通知开头通常有称呼语,要根据不同的对象使用不同的称呼语。例如:boysandgirls;ladiesandgentlemen;teachersandfellowstudents;comradesandfriends等。写作指导常用句式针...
SectionⅡGrammar一二一、A.阅读课文,找出与下列汉语意义匹配的英语句子1.当他26岁退役时,他已经在世界大赛中共获得了106枚金牌。2.但即使是已经赢得了在自己运动项目上所可能赢得的一切,李宁还是带着一种失败的感觉退了役。3.如果你走进任何一个地方的中学或大学校园,都有可能看到身穿印有那个熟悉的标志的李宁运动服的学生。4.在2008年奥运会时,无论什么时候中国运动员踏入赛道都将身穿李宁牌运动服。5.正如李宁广告标语所说,...
SectionⅣWriting写作指导常用句式针对训练如何描写自然之谜写自然之谜类的文章,要有科学依据,不能凭空杜撰,选材必须来自科学文献或权威机构。可按如下写作步骤进行写作:首先,简单介绍怪异事件及其发生的地点;其次,详细叙述怪异事件或描述怪物的特征;最后,试着解开谜团。自然界有很多未解之谜,这些神秘的现象激励着科学家们不懈地探索。对于自然传说的介绍要注意:1.文章通常由三大段落组成。首先交代清楚传说的内容。然后详细介...
SectionⅡGrammar一二三四一、阅读课文,找出与下列汉语意义相匹配的英语句子1.许多人认为,天池里的怪物或许是苏格兰尼斯湖怪物的远房表亲。2.他们还认为,在世界其他地方的湖泊中可能也有类似的怪物。3.他们说,水温这样低的湖泊不可能生存有体形如此巨大的动物。一二三四二、核对答案,并对这几个句子进行逐一剖析1.ManypeoplethinkThemonstermaybeadistantcousinofTheLochNessmonsterinScotland.2.TheyalsothinkthatTheremightbe...
SectionⅢIntegratingSkills一二三一、根据首字母和英文释义写出单词1.ftorefusetoallow2.iextremelylarge3.fabletoproducemuch;richinnutrients4.rfarfromtownsoroTherplaces5.s(ofaslope,hill,etc.)risingorfallingquickly,notgradually6.vincludingmanydifferentkindsofthings7.saparticularplaceorarea8.vasightorprospect9.pashortthinpieceofmetalwithasharppointatoneend答案:1.forbid2.immense3.fertile4.remote5.steep...
SectionⅢIntegratingSkills一二三一、根据词性及汉语提示写出单词1.n.决赛adj.最后的;决定性的→finallyadv.最后;终于2.n.冠军→championshipn.锦标赛;冠军称号3.n.特性;品德;品性→quantityn.量;数量4.adj.最后的→ultimatelyadv.最后;最终5.adv.戏剧性地→draman.戏剧6.vt.宣布→declarationn.宣布;宣言7.n.竞争者;对手→vi.竞争,比赛→competitionn.竞争,比赛答案:1.final2.champion3.quality4.ultimate5.dramatically6.dec...
