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如果消息A发生的概率为P（A），那么消息A所含的信息量为Γ（A）＝log2，若百度李总正在一个有4排8列座位的音乐厅里听交响乐，则发布的以下4条消息中，信息量最大的是（ ）
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高一下学期数学《》真题及答案
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假设每个消息的发出都是等概率的四进制脉冲所含信息量是二进制脉冲的倍
某商品的国际市场价格波动频繁已知价格大涨涨幅在15%以上的概率为0.125涨涨幅在5%～15%的概率
2.25比特
2.5比特
2.89比特
1.6比特
一个随机事件发生某一结果后所带来的信息量称为自信息量定义为
消息中所含信息量
多少与消息的重要程度无关；
消息越不可能，包含的信息量越小；
多少与消息的重要程度有关；
消息越可能，包含的信息量越大。
有关信息的测度方法不正确的是
测度方法包括基于数据量的信息测度方法和基于Shannon熵的信息量测度方法
计算机中基于数据量的信息测度常用单位包括：KMGTPEB
确定消息的信息量为1
对于非计算机处理的信息（如书籍报刊等），直接用发行种类、发行量或文本字数来进行测度
如果在已知发送独立的符号中符号E出现的概率为0.125则符号E所包含的信息量为
1bit
2bit
3bit
4bit
消息的愈大则其信息量愈大
若消息中所描述事件发生的可能性小则此消息所携带的信息量小
如果事先就确切地知道消息的内容那么消息中所包含的信息量就等于
零
正无穷大
负无穷大
无法判断
当消息经过多级处理后随着处理器数目的增多输入消息与输出消息之间的平均互信息量
在模拟通信系统中是利用消息传输速度即单位时间内传输的信息量或者有效传输频带来衡量
信源的消息通过信道传输后的误差或失真越大信宿收到消息后对信源存在的不确定性就获得的信息量就越小
小概率事件的发生其带给人们的信息量就小
设信源X包含4个不同离散消息当且仅当X中各个消息出现的概率为时信源熵达到最大值为此时各个消息的自信息
出现概率越的消息其所含信息量越大
传输信息的多少使用信息量去衡量关于信息量下列说法正确的是
消息中的信息量与消息发生的概率紧密相关, 消息出现的概率愈小, 则消息中包含的信息量就愈小。
如果事件是必然的(概率为 1) , 则它传递的信息量应为零
如果事件是不可能的(概率为 0) , 则它传递的信息量应为零
如果事件是必然的(概率为 1) , 则它将有无穷的信息量
信息的元素—信码的集合在信息论中被称为.
消息源
信息源
讯息
信息量
如果消息
发生的概率为
，那么消息A.所含的信息量为
.若王教授正在一个有4排8列座位的小型报告厅里听报告，则发布的以下4条消息中，信息量最大的是A.王教授在第4排
王教授在第4排第5列
王教授在第5列
王教授在某一排
信源的消息通过信道传输后的误差或失真越大信宿收到消息后对信源存在的不确定性就越小获得的信息量就越小
出现概率越大的消息其所含的信息量越大
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修建隧道可以方便出行．如图AB两地被大山阻隔由A地到B地需要爬坡到山顶C地再下坡到B地．若打通穿山隧道建成直达AB两地的公路可以缩短从A地到B地的路程．已知从A到C坡面的坡度i＝1从B到C坡面的坡角∠CBA＝45°BC＝4公里．1求隧道打通后从A到B的总路程是多少公里结果保留根号2求隧道打通后与打通前相比从A地到B地的路程约缩短多少公里结果精确到0.01≈1.414≈1.732
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Myfatherwasalwaysagoodgardener.Oneofmyearliestmemoriesisstandingwithoutshoesinthefreshlytilled翻耕的soilmyhandsblackenedfromdiggingintheground. AsachildIlovedfollowingDadaroundinthegardenIrememberDadpushingthetiller耕作机aheadinperfectlystraightlines.Dadlovedgrowingallsortsofthingsyellowandgreenonionswatermelonsalmostasbigasmerowsofyellowcomandourfavorite﹣redtomatoes. AsIgrewintoateenagerIdidn'tgetsoexcitedaboutgardeningwithDad.Insteadofmagicallandofpossibilityithadturnedintosomekindofprison.AsDadgrewolderhisloveforgardeningneverdisappeared.AfterallthekidsweregrownandhadstartedfamiliesoftheirownDadturnedtogardeninglikeneverbefore.Evenwhenhewasdiagnosedwithcancerhestilltookcareofhisgarden. Butthenthecancerbitbybitinvadedhisbody.Ihadtodothethingsheusedtodo.WhatreallyconvincedmethatDadwasdyingwasthestateofhisgardenthatyear.Therowsandrowsofmulticoloredvegetablesweregone.Tootiredtoweedthemhesimplyletthembe.Heonlyplantedtomatoes. ForthefirstfewyearsafterhediedIcouldn'tevenbeartolookatanyone'sgardenwithouthavingstrongmemoriespourovermelikecoldwaterfromabucket.ThreeyearsagoIdecidedtoplantmyowngardenandstartedoutwithjustafewtomatoes.ThatmorningafterbreakingupafairamountofsoilsomethingcaughtthecomerofmyeyeandIhadtosmile.Itwasmyeight﹣year﹣oldsonNathanhappilyplayinginthefreshlytilledsoil. 1Whydidtheauthorlikethegardenwhenhewasachild? A.Thegardenwasplantedwithcolorfulflowers. B.Thegardenwasjustfreshlytilledbyhisfather. C.Helovedwhathisfathergrewinthegarden. D.Heenjoyedbeinginthegardenwithhisfather. 2Whenallthekidsstartedtheirownfamiliestheauthor'sfather. A.devotedmoretogardening B.turnedtootherhobbies C.stoppedhisgardening D.focusedonplantingtomatoes 3Whathappenedtothegardenwhentheauthor'sfatherwasseriouslyill? A.Theauthor'ssontookchargeofit. B.Noplantgrewinthegardenatall. C.Thegardenwasalmostdeserted. D.Itbroughttheauthoragreatharvest. 4Wecaninferfromthelastparagraphthat. A.theauthor'ssonplayedhappilyinthegarden B.theauthor'ssonremindedhimofhisownfather C.theauthor'ssonwasverygladtohelptheauthor D.theauthor'ssonwillcontinuegardeningaswell
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如图所示一动点从半径为2的⊙O上的A0点出发沿着射线A0O方向运动到⊙O上的点A1处再向左沿着与射线A1O夹角为60°的方向运动到⊙O上的点A2处接着又从A2点出发沿着射线A2O方向运动到⊙O上的点A3处再向左沿着与射线A3O夹角为60°的方向运动到⊙O上的点A4处A4A0间的距离是…按此规律运动到点A2019处则点A2019与点A0间的距离是．
如图1菱形ABCD中∠ABC＝120°P是对角线BD上的一点点E在AD的延长线上且PA＝PEPE交CD于F连接CE． 1证明△ADP≌△CDP 2判断△CEP的形状并说明理由 3如图2把菱形ABCD改为正方形ABCD其他条件不变直接写出线段AP与线段CE的数量关系．
已知则A＝
Theselfieisusedtodescribetheself﹣takenphotooftenfromasmartphone.Someonetakesabout10selfieseachtimehedoesandheonlyendsup1postingpostoneortwoofthose.Hepickstheonethathefeelsmakehimlookthe2bestgood.Inthatpicturehegainsconfidence.Forthatmomenteverythingbadorterriblethathashappenedtohim3isremovedremovebecausethatsmileiswhatgiveshimthe4determinationdeterminetolovehimself. Iread5apoemrecentlyandtheyoungmansaidIfIaskyou6whatyoulovetheanswerswillmostlikelyrolloffyourtongue.Youlovetoread.Youlovetowrite.Youloveyourmomyoudaughteroryourbestfriend.Howlongdoyouthinkyoucangoonandonbeforeyousay‘Ilove7myselfI'? Thatstatementhitmelikeatonofbricks.I'vestruggledwithconfidenceallmylife.Istilldo.Andin8nowayamIsayingthattakingaselfieisagateway9toconfidence.10However/Rather/Insteadtheselfiedoesdeservesomecreditforallowingindividualstoexpressthemselves.
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小辉根据学习函数的经验对函数y＝|x﹣1|的图象与性质进行了探究下面是小辉的探究过程请补充完整 1列表找出y与x的几组对应值． 其中b＝在平面直角坐标系中画出该函数的图象 2写出该函数的一条性质．
如图正方形ABCD的边长为8M是AB的中点P是BC边上的动点连结PM以点P为圆心PM长为半径作⊙P． 1当BP＝时△MBP～△DCP 2当⊙P与正方形ABCD的边相切时求BP的长 3设⊙P的半径为x请直接写出正方形ABCD中恰好有两个顶点在圆内的x的取值范围．
如图将边长为3a的正方形沿虚线剪成两个正方形和两个长方形．若去掉边长为2b的小正方形后再将剩余部分拼成一个矩形则矩形的周长为
HowSuperAreSupermarkets? Buyingeweek'sgroceriesistiring.Youwanttogetitoveranddonewithquicklysoyouheadforthenearestsupermarketyoufindeverythingyouneedunderoneroofandyoufeelgladthatthosedaysofgoinginandoutofdifferentshopsinthehighstreetareover.Supermarketsseemtobeabigplus.Thereisadownsidethough. IntheUK90%ofallthefoodpeopleconsumeisboughtat5differentsupermarketchains.Thismakesthesecompaniesextremelypowerfulwhichletsthemusetheirhugebuyingpowertosqueezesmallsupplierstogetthebestdeal.Milkisagoodexample.Supermarketsliketousethingslikemilkwhichisthetopofalmosteveryone'sshoppinglisttoattractcustomers.Toofferthelowestpricepossibletotheconsumerthesupermarketsforcedairyfarmerstosellmilkatlessthanthecostofproduction.Supermarketsguaranteetheirgoodprofitswhilefarmersareleftstrugglingtomakeendsmeetandthetaxpayerpaystosupportthesystemwithoutevenknowingit. Itwouldbeniceiflocalgrocerssupportedlocalagriculture.Butforthebigsupermarketsthisjustdoesn'tmakesense.Supermarketsdon'twantlittlefarmersthinkingtheycandecideprices.Sosupermarketshavestartedaglobalsearchforthecheapestpossibleagriculturalproduce.Inmanysupermarketsitisdifficulttofindanythingwhichisproducedlocally. UKfarmersusedtogrowalotofapples.Notanymore.In199936%ofappleswereimported.By2015thefigurehadrisento80%andthedomesticproductionofappleshadfallenbytwothirds.TheconsumermightjustbehappytogetareasonablypricedmealmadeupoffoodsfromThailandSpainItalyandZambiabutweshouldalsobearinmindtheInfluenceonlocalproducers. Thenthere'spackaging.Supermarketslikeeverythingtobepackedandwrappedsoitcanbepiledneatlyonshelves.Supermarketsproducenearly10milliontonsofwastepackagingintheUKeveryyearofwhichless5%isrecycled.Somesupermarketsmakesurethatlargerecyclingbinsareobviousintheircarparksshowingthattheyareenvironment﹣friendly.Butthatisjustanimage. Whenanewsupermarketisplannedthereareclaimsaboutthenumberofnewjobsthatwillbecreated.Unfortunatelythenumberofjobslostintheareaislargerthanthenumberofnewpositionsinthesupermarket.Onaverageeachnewsupermarketleadstothelossof276jobs. Howeverthemodernworldisallaboutshoppingandthefreedomtobuywhateveryouwhatsoitwouldbeimpossibletostoppeopleshoppingatsomeparticularkindofshop.Butsomemeasuresdoneedtobetakenwhensmallsuppliersloseprofitslocalproducerssuffersealevelsriseandjobsarelostanywaywecan'tjustcareaboutafreecarparkandspecialoffers. 1Theauthormentionsmilkinparagraph2toexplainhowsupermarkets. A.cheatthetaxpayers B.supportlocaldairyfarmer C.harmsmallsuppliers‘benefits D.providecustomerswiththecheapestproduct 2Accordingtothepassagesupermarketskeeppriceadvantageby. A.competingagainsteachother B.importingforeignproducts C.purchasinglocalproducts D.reducingproducttax 3Whichofthefollowingshowsthestructureofthepassage? CPCentralPointPPointSPSub﹣pointCConclusion 4Whatistheauthor'sattitudetowardssupermarkets? A.Critical B.Sympathetic C.Doubtful D.Cautious
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处语言错误每句中最多有两处.每处错误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. 修改在错的词下划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. LastSundayitwasmyfather'sfunnyday.Aftersuppermyfatherwenttoseethefilm.Butinoursurprisehecamebackjustabouthalfanhourlater.Iaskedhimwhatwasthematter.Hesmiledandtoldusaboutthefunnythingwhathadhappenedinthecinema.Hewassittinginhisseatwhileawomancametoherandsaidtheseatwashers.Surprisingtheylookedattheirticketcarefullyonlytofindtheseatsshownintheirticketswerethesamewhilethecolorsweredifferent.Sotheylookedattheticketsmorecarefully.AfterawhilemyfatherapologizedthewomansayingSorryImakeamistake.Takethisseatplease.Thefactwasthathisticketfoundoutinhisdeskdrawerwasforthefilmamonthago.
近似数5.10精确到
GetaThoroughUnderstandingofOneself Inallone'slifetimeitisoneselfthatonespendsthemosttimebeingwithordealingwith.1 Whenyouaregoingupwardsinlifeyoutendtooverestimate高估yourself.Itseemsthateverythingyouseekforiswithinyourreach.2It'slikelythatyouthinkitwiseforyourselftostayawayfromtheouterworld.Actuallytogetathoroughunderstandingofoneselfyoumayaswellkeepthefollowingtipsinmind. Gainacorrectviewofoneself.Youmaylookforwardhopefullytothefuturebutbesurenottoexpecttoomuchfordreamscanneverbefullyrealized.Youmaybecourageoustomeetchallengesbutitshouldbecleartoyouwheretodirectyourefforts.3 Self﹣appreciate.Whetheryoucompareyourselftoahighmountainorasmallstoneyourepresentastateofnature.4Ifyouearnestly诚挚地admireyourselfyou'llhavearealsenseofself﹣appreciation. 5Intimeofangerdoyourselfafavorbyreleasing释放itinaquietplacesothatyouwon'tbehurtbyitsflamesintimeofsadnessdoyourselfafavorbysharingitwithyourfriendssoastochangeabadmoodintoacheerfuloneintimeoftirednessdoyourselfafavorbygettingagoodsleep. Getafullcontrolofone'slife.Thenonewillfindone'slifefullofcolorandflavor. A.Ithasitsownvalue. B.Dooneselfafavorwhenit'sneeded. C.Doyourselfafavorwhenyouresisttheattackofillness. D.Butitispreciselyoneselfthatonehastheleastunderstandingof. E.Especiallyifitiswellwithinyourreachyouarejusttooblindtoseeit. F.Whenyouaregoingdownhillyoutendtounderestimateyourself. G.Solongasyouhaveaperfectknowledgeofyourselftherewon'tbedifficultiesyoucan'tovercome.
比较大小32．
如图1在平面直角坐标系xOy中已知点A和点B的坐标分别为A﹣20B0﹣6将Rt△AOB绕点O按顺时针方向分别旋转90°180°得到Rt△A1OCRt△EOF．抛物线C1经过点CAB抛物线C2经过点CEF． 1点C的坐标为点E的坐标为抛物线C1的解析式为．抛物线C2的解析式为 2如果点Pxy是直线BC上方抛物线C1上的一个动点． ①若∠PCA＝∠ABO时求P点的坐标 ②如图2过点P作x轴的垂线交直线BC于点M交抛物线C2于点N记h＝PM+NM+BM求h与x的函数关系式当﹣5≤x≤﹣2时求h的取值范围．
如图在平面直角坐标系中函数y＝kx与的图象交于AB两点过A作y轴的垂线交函数的图象于点C连接BC则△ABC的面积为
下列等式成立的是
GeneticallyModifiedGMfoodisunfortunatelybecomingmorepopularamongstfarmersandfoodprocessors.Cropsarebeinggeneticallymodifiedtoresistinsectsplantdiseasesinsecticides杀虫剂.Plantsarealsomodifiedtolookbiggerandbetter.Unfortunatelytheendgoalisn'tprovidingnutritionforpeopleit'stoincreaseprofitmarginsandtomakefoodlookbetter.Infactmanymodernfruitsandvegetablesaretwicethesizeofwhattheyusedtobewhilehavingfarlessvitaminsandnottastinggoodeither.Nowresearchisshowingthatgeneticallymodifiedfoodmightevenbebadforyou. GMorganismsareorganismsthathavegenesinsertedintotheirDNAinordertooffercertaincharacteristics.Inthiswayyoucanmakeitbetterormakeitlastlonger. JeffreyM.SmithhaspublishedastudyaboutthedangersofGMfood.ItwasdiscoveredthatwhenGMsoywasfedtofemaleratstheyfoundthatalltheiryoungdiedwithin3weekscomparedtoanatural10%deathrate.Theiryoungwerealsobornsmallerandtheylaterhadproblemsbecomingpregnant.Astudyofpigsfoundthattheyalsobecameinfertile不育aftereatingGMcorn. ManypeopleareeatingGMfoodwithoutevenrealizingit.Thesolutiontothisproblemissimple.Humanbeingsexistedintheircurrentformforhundredsofthousandsofyears.Formostofthattimeweateadietconsistingofmeatfruitvegetablefisheggsandnuts.Thisisouroptimaldietwhichleadsustoliveahealthyandlonglife.Butoverthelast30yearsNorthAmericahasexperienceddiabetescancerandheartdisease.AllduetothemisinformationprovidedbygroupswhoworkonbehalfofthemanufacturersofGMfood.Thewaytoavoidobesityheartdiseaseandcancerisbyeatinglikeourstone﹣ageancestors. 1AccordingtotheauthorwhatultimatelyinspiredthepopularityofGMcrops?C A.Richnutrition. B.Uniquetaste. C.Highprofits. D.Energysaving 2Whathadwebetterdoifwewanttostayhealthyaccordingtothetext?D A.Eatmorefruit. B.Bevegetarians. C.Eatmoregrains. D.Keeptraditionaldiet. 3ThetextisorganizedintheformofB. A.timeandevents B.causeandeffect C.reasoningandargument D.contrastandcomparison 4WecaninferthatthelobbygroupsinParagraph4arepeoplewhoareC. A.scientistswhogiveoutfalseinformationbecauseofcarelessness B.doctorswhotrytoprofitfrompatientswhosufferfromunhealthyfood C.workerswhotrytocheatcustomersforthebenefitsoffoodproducers D.agriculturaltechnicianswhoareresponsibleforpromotingnewproduct
假定你是中国高中生李华今年暑假期间将去澳大利亚悉尼南部Kogarah的一所综合性学校KogarahHighSchool学习一个月并将寄宿在当地的居民Silvia家中.请给Silvia写一封电子邮件询问一些将在Kogarah生活的有关情况.具体询问内容如下 1.住宿是否可以有单间2.房间里是否有网络 3.是否可以自己煮饭4.是否有便利的交通. 注意1.词数100左右 2.可适当增加细节以使行文连贯. 3.开头语和结束语已为你写好不计入总词数. DearSilvia GreetingsfromChina!IanLiHuaahighschoolstudentinChina.. Lookingforwardtoyourreply. Bestwishes. Yourssincerely LiHua.
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，那么消息A.所含的信息量为
.若王教授正在一个有4排8列座位的小型报告厅里听报告，则发布的以下4条消息中，信息量最大的是A.王教授在第4排 王教授在第4排第5列 王教授在第5列 王教授在某一排
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