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書山有路勤為徑,學海無涯苦作舟!住在富人區的她考研考博-英語-南充科技職業學院押題密卷附帶答案詳解(圖片大小可自由調整)全文為Word可編輯,若為PDF皆為盜版,請謹慎購買!第壹套一.全考點押題密卷-綜合訓練(共50題)1.單選題

Inthenextfewyears,theterm"bigdata"willcometoseemnaive,likewhen"informationsuperhighway"gavewayto"theinternet"in1995.

We'reenteringanageofpersonalbigdataanditsimpactonourliveswillsurpassthatoftheinternet.Datawillanswerquestionswecouldneverbeforeanswerwithcertaintyeverydayquestionslikewhetherthatdressactuallymakesyoulookfat,orprofoundquestionsaboutpreciselyhowlongyouwilllive.

Every20yearsorso,apowerfultechnologymovesfromtherealmofbackroomexpertiseandintothehandsofthemasses.Inthelate1970s,computingmadethattransitionfrommainframesinglass-enclosedroomstopersonalcomputerondesks.Inthelate1990s,thefirstwebbrowsersmadenetworks,whichhadbeenforsciencelabsandthemilitary,accessibletoanyofus,givingbirthtothemoderninternet.

Eachtransitiontouchedoffanexplosionofinnovationandreshapedworkandleisure.In1975,50,000PCswereinuseworldwide.Twentyyearslater,225million.Thenumberofinternetusersin1995hit16million.Todayit'smorethan3billion.Inmuchoftheworld,it'shardtoimaginelifewithoutconstantaccesstobothcomputingandnetworks.

The2010swillbethecoming-outpartyfordata.Gathering,accessingandgleaninginsightsfromvastanddeepdatahasbeenacapabilitylockedinsideenterpriseslongenough.Cloudcomputingandmobiledevicesnowmakeitpossibletostandinabathroomlineatabaseballgamewhiletappingintomassivecomputingpoweranddatabases.Ontheotherhand,connecteddevicessuchastheNestthermostatorFitbithealthmonitorandappsonsmartphonesincreasinglycollectnewkindsofinformationabouteverydaypersonalactionsandhabits,turningitintodataaboutourselves.

ThattheworldisawashindatamaybeasobviousassayingLadyGagadressesfunny.Butthegamechangerusheringintheneweraistheabilitytomakesenseofdatainwaysthatletnon-techhumansinteractwithit,learnfromitanduseit.

Morethan80percentofdatatodayisunstructured:tanglesofYouTubevideos,newsstories,academicpapers,socialnetworkcomments.Unstructureddatahasbeenalmostimpossibletosearchfor,analyzeandmixwithotherdata.Anewgenerationofcomputers-cognitivecomputingsystemsthatlearnfromdata-willreadtweetsore-booksorwatchvideoandcomprehenditscontent.Somewhatlikebrains,thesesystemscanlinkdiversebitsofdatatocomeupwithrealanswers,notjustsearchresults.

1.Whatcausedtheappearanceofmoderninternet?

2.Whatdoesthephrase"tappinginto"(paragraph5)probablymeaninthetext?

3.Inwhichwaycanwegetdataaboutourselves?

4.Whatistheessentialdifferencebetweentraditionalcomputersandcognitivecomputersystems?

5.Whatcanbeinferredfromthetext?

問題1選項

A.Bigdata

B.Informationsuperhighway

C.Cloudcomputing

D.Browsers

問題2選項

A.Stickinginto.

B.Beatingsoftly

C.Makinguseof

D.Investing

問題3選項

A.Fromeverydaypersonalactions.

B.Fromconnecteddevices.

C.Fromeverydaypersonalhabits.

D.Fromdatabase.

問題4選項

A.Cognitivecomputersystemsworkfasterthantraditionalcomputers

B.Cognitivecomputersystemsworkmoreaccurately.

C.Cognitivecomputersystemcanworklikehumanbrains.

D.Cognitivecomputersystemscansearchresults.

問題5選項

A.Computingwasintherealmofbackroomexpertisebefore1970s.

B.Theworldisfloodedintoomuchconfuseddata.

C.In1975,50,000PCswereinuseworldwide.

D.Datawillanswerquestionswecouldneverbeforeanswerwithcertainty.

【答案】第1題:D

第2題:C

第3題:B

第4題:C

第5題:B

【解析】1.細節事實題。由文章第三段中的Inthelate1990s,thefirstwebbrowsersmadenetworks,whichhadbeenforsciencelabsandthemilitary,accessibletoanyofus,givingbirthtothemoderninternet.(在20世紀90年代后期,第一批網絡瀏覽器使網絡可以為我們所用,從而出現了現代的互聯網,這些網絡曾是專為科學實驗室和軍隊所用)可知選D。

2.詞義題。stickinginto意為“堅持,粘入”;beatingsoftly意為“輕拍”;makinguseof意為“利用”;investing意為“投資,花費”。根據“tappinginto”在Cloudcomputingandmobiledevicesnowmakeitpossibletostandinabathroomlineatabaseballgamewhiletappingintomassivecomputingpoweranddatabases.(現在云計算和移動設備可以……巨大的計算能力和數據庫使站在浴室里籃球賽成為可能)中前后的句意,可知C選項最符合語境。

3.細節事實題。由文章倒數第三段中的Ontheotherhand,connecteddevices...increasinglycollectnewkindsofinformationabouteverydaypersonalactionsandhabits,turningitintodataaboutourselves.(另一方面,連接的設備……越來越多地收集有關日常個人行為和習慣的新信息,將其轉化為有關自己的數據)可知選B。

4.細節事實題。由文章最后一段中的Anewgenerationofcomputers—cognitivecomputingsystemsthatlearnfromdata—willreadtweetsore-booksorwatchvideoandcomprehenditscontent.(新一代計算機——從數據中學習的認知計算系統——能閱讀推特或電子書或觀看視頻,能并理解其內容)可知選C。

5.推理判斷題。由文章倒數第二段中ThattheworldisawashindatamaybeasobviousassayingLadyGagadressesfunny.(世界上充斥著大量的數據,這可能和說LadyGaga的服裝很有趣一樣顯而易見)和最后一段中的Morethan80percentofdatatodayisunstructured:tanglesofYouTubevideos,newsstories,academicpapers,socialnetworkcomments.Unstructureddatahasbeenalmostimpossibletosearchfor,analyzeandmixwithotherdata.(今天超過80%的數據是非結構化的:視頻、新聞報道、學術論文、社交網絡評論。非結構化數據幾乎不可能搜索、分析和與其他數據混合)可知B選項“世界上充斥著太多令人困惑的數據”符合題意。

2.單選題

Theofficialsaidthedevelopedcountrieshadaresponsibilitytofosterglobaleconomicgrowth.

問題1選項

A.affect

B.helptodevelop

C.upset

D.acquire

【答案】B

【解析】考查動詞辨析。foster表示“促進,撫育”;A項affect“影響”,B項helptodevelop“幫助發展”,C項upset“使心煩,顛覆”,D項acquire“獲得”。句意:這位官員表示,發達國家有責任促進全球經濟增長。根據句意可知,foster在句中表示“促進發展”;該題選擇B項正確。

3.單選題

Ⅳ.(CriminalLaw)

ThefirstchallengeforcriminalresponsibilityforcollectiveperpetrationsiswhetherthenotionofcollectiveactioncanbemadesenseforthepurposesofInternationalCriminalLaw.AsKutzsuggeststheissueofinclusionandexclusionofmembersfromacollectiveactionis“alwaysbothnormativeandfactual”,because“thechoiceofappropriatedescriptivelevel”remainsamatteroflegalpolicy.Iftherequirementsforcollectiveactionaresettoostrictthenmanyparticipantswillbeexcused.Ontheotherhandtoolaxrequirementsincreaseprosecutor’sdiscretionandallowchargingwiderrangeofindividuals,attheexpenseofimplicatingtoomanyindividualsandpossiblyrenderingpunishmentcontroversialandover-inclusiveonthelevelofthesystem.

Inanycaseacollectiveintentionstestisnecessaryinordertobeabletoholdanyparticularindividualresponsibleasopposedtochargingeveryoneontheoneextreme,orattributingharmtoindeterminatecausesontheother.Besidesidentifyingindividualsinvolvedincooperativeharmdoingcollectiveintentionwillbenecessaryforattributionofharmtosuchcausallyresponsibleindividuals.Furthermoreasarguedinthesectiononmoralblameaconsiderationofdecisionmethodinacollectiveaction,whichisnecessaryfordistributionofmoralblame,isalsoimpossiblewithoutaconceptionofcollectiveintention.

Theproblemofcollectiveintentionsisdownplayedbythe“romantic”argumentforcollectiveguilt,asitjumpstodrawthemembershipalongthestatelines,whichultimatelyleadstoproblemsof“guiltlesssincerity”and“excessoftransmissionbybirth”.Partofthe“romantic”appealstemsfromtheimplicationofstateagencyincrimesagainsthumanity(through“stateandorganizationalpolicy”)andwarcrimesaccordingtothepublicinternationallaw.Whereasthequestionsofretroactivesuspensionoflegalordersorimmunityofstateofficialsaresometimesstillrelevantlegalobstaclesforprosecutinghumanrightsviolations,thisworkdiscardssuchissuesasirrelevantforthepurposesofexcusesandjustificationsundertheRomeStatute(國際刑事法院羅馬規約).Collectiveactionincasesofcrimesagainsthumanityorwarcrimescouldbemanifestedinspontaneouscoordinatedactions,mobviolence,governmentactionsordecentralizednetworksoutsidethecolorofthelaw.Variouspassiveorindeterminatefacts,suchasmilitaryculture,religiousortraditionalinstitutions,ideologyorlegalsystemcanandoftenaremanipulatedbyperpetratorstoblendcollectiveactionwithhistorical,naturalorevensupernaturalcauses.Thiswayevenleadersandinfluentialdecisionmakerswouldclaimthattheyfollowednecessityorthattheircrueltyweredeterminedbytheanarchic,anomicorelseapocalypticconditionsofwar.

63.Thebesttopicforthefirstparagraphis___.

64.Todeterminecollectiveintentionsisnecessary___.

65.WhichofthefollowingstatementisNOTmentionedintheparagraph3?

66.PerpetratorscanandoftenmanipulatethefollowingBUT___.

問題1選項

A.CriminalResponsibilityforCollectivePerpetrations

B.TheDefectofSettingTooStrictaLevel

C.TheDifficultiesinChoosinganAppropriateDescriptiveLevelofCollectiveAction

D.TheDefectofSettingTooLaxaLevel

問題2選項

A.toholdanyparticularindividualresponsible

B.tochargeeveryoneresponsible

C.foraconsiderationofdecisionmethod

D.toattributeharmtoindeterminatecauses

問題3選項

A.Theargumentofcollectiveguiltdilutestheproblemsofcollectiveintentions.

B.Theretroactivesuspensionoflegalorderissometimesrelevanttohumanrightsviolations.

C.Theargumentofcollectiveguiltstemsfrompublicinternationallaw.

D.Theargumentofcollectiveguiltdealswithmembershipthroughstateresponsibility.

問題4選項

A.militaryculture

B.religiousortraditionalinstitutions

C.ideologyorlegalsystem

D.collectiveaction.

【答案】第1題:C

第2題:A

第3題:D

第4題:D

【解析】63.【試題答案】C

【試題解析】主旨大意題。根據題干定位到原文第一段AsKutzsuggeststheissueofinclusionandexclusionofmembersfromacollectiveactionis“alwaysbothnormativeandfactual”,because“thechoiceofappropriatedescriptivelevel”remainsamatteroflegalpolicy.(正如庫茨所指出,將成員納入和排除在集體行動之外的問題“總是規范性和事實性的”,因為“選擇適當的描述水平”仍然是一個法律政策問題)可知選C選項“在選擇適當的集體行動描述水平方面的困難”;A選項“集體犯罪的刑事責任”;B選項“等級設置過嚴的缺陷”以及D選項“水平設置過松的缺陷”都是為了證明選擇適當的集體行動描述水平的困難,是這一觀點的論據,不足以概括第一段的內容。因此C選項正確。

64.【試題答案】A

【試題解析】事實細節題。根據題干定位到原文第二段第一句Inanycaseacollectiveintentionstestisnecessaryinordertobeabletoholdanyparticularindividualresponsibleasopposedtochargingeveryoneontheoneextreme,orattributingharmtoindeterminatecausesontheother.(在任何情況下,集體意圖檢驗都是必要的,以便能夠追究任何特定個人的責任,而不是將所有人歸為一個極端,或將傷害歸因于另一種不確定的原因)可知選A選項“追究任何特定個人的責任”,同時可知B選項“追究每個人的責任”,D選項“將傷害歸因于不確定的原因”不符合原文;第二段Furthermoreasarguedinthesectiononmoralblameaconsiderationofdecisionmethodinacollectiveaction,whichisnecessaryfordistributionofmoralblame,isalsoimpossiblewithoutaconceptionofcollectiveintention.(此外,正如道德責備一節所論證的那樣,如果沒有集體意圖的概念,集體行動中決策方法的考慮也是不可能的,這對于道德責備的分配是必要的)可知集體行動中決策方法的考慮對道德責備的分配是必要的,而不是對集體意圖必要,C選項“考慮決策方法”邏輯關系錯誤。因此A選項正確。

65.【試題答案】D

【試題解析】事實細節題。根據題干定位到原文第三段Theproblemofcollectiveintentionsisdownplayedbythe“romantic”argumentforcollectiveguilt(集體罪責的“浪漫”論點淡化了集體意圖的問題)對應A選項“集體犯罪的論點淡化了集體意圖的問題”;第三段Whereasthequestionsofretroactivesuspensionoflegalordersorimmunityofstateofficialsaresometimesstillrelevantlegalobstaclesforprosecutinghumanrightsviolations(然而,追溯中止法律命令或國家官員豁免的問題有時仍然是起訴侵犯人權行為的相關法律障礙)對應B選項“追溯中止法律秩序有時與侵犯人權有關”;第二段Partofthe“romantic”appealstemsfromtheimplicationofstateagencyincrimesagainsthumanity(through“stateandorganizationalpolicy”)andwarcrimesaccordingtothepublicinternationallaw.(這種“浪漫”的吸引力部分源于國家機構涉嫌違反國際公法的反人類罪(通過“國家和組織政策”)和戰爭罪)對應C選項“集體有罪的論點源于國際公法”;D選項“集體犯罪的論點通過國家責任來處理成員問題”未在第三段提及。因此D選項符合題意。

66.【試題答案】D

【試題解析】事實細節題。根據題干關鍵字“Perpetrators”定位到原文最后一段Variouspassiveorindeterminatefacts,suchasmilitaryculture,religiousortraditionalinstitutions,ideologyorlegalsystemcanandoftenaremanipulatedbyperpetratorstoblendcollectiveactionwithhistorical,naturalorevensupernaturalcauses.(各種消極或不確定的事實,如軍事文化、宗教或傳統機構、意識形態或法律制度,可以而且往往被肇事者操縱,將集體行動與歷史、自然甚至超自然原因相結合)對應A選項“軍事文化”,B選項“宗教或傳統機構”以及C選項“意識形態或法律體系”;不涉及D選項“集體行動”。因此D選項符合題意。

4.單選題

TheNeutralityofAmericanintheEarlyWorldWarⅡTheestablishmentoftheThirdReichinfluencedeventsinAmericanhistorybystartingachainofeventswhichculminatedinwarbetweenGermanyandtheUnitedStates.Thecompetedestructionofdemocracy,thepersecutionofJews,thewaronreligion,thecrueltyandbarbarismoftheNazis,andespeciallytheplansofGermanyandherallies,ItalyandJapan,forworldconquestcausedgreatindignationinthiscountryandbroughtonfearofanotherworldwar.WhilespeakingoutagainstHitler’satrocities,theAmericanpeoplegenerallyfavoredisolationistpoliciesandneutrality.TheNeutralityActsof1935and1936prohibitedtradewithanybelligerentsorloanstothem.In1937thePresidentwasempoweredtodeclareanarmsembargoinwarsbetweennationsathisdiscretion.

AmericanopinionbegantochangesomewhatafterPresidentRoosevelt’s“quarantinetheaggressor”speechatChicago(1937)inwhichheseverelycriticizedHitler’spolicies.Germany’sseizureofAustriaandtheMunichPactforthepartitionofCzechoslovakia(1938)alsoarousedtheAmericanpeople.TheconquestofCzechoslovakiainMarch,1939wasanotherrudeawakeningtothemenaceoftheThirdReich.InAugust,1939cametheshockoftheNazi-sovietPactandinSeptembertheattackonPolandandtheoutbreakofEuropeanwar.TheUnitedStatesattemptedtomaintainneutralityinspiteofsympathyforthedemocraciesarrayedagainsttheThirdReich.TheNeutralityActof1939repealedthearmsembargoandpermitted“cashandcarry”exportsofarmstobelligerentnations.Astrongnationaldefenseprogramwasbegun.Adraftactwaspassed(1940)tostrengthenthemilitaryservices.ALendAct(1941)authorizedthePresidenttosell,exchange,orlendmaterialstoanycountrydeemednecessarybyhimforthedefenseoftheUnitedStates.HelpwasgiventoBritainbyexchangingcertainoveragedestroyersfortherighttoestablishAmericanbasesinBritishterritoryintheWesternHemisphere.InAugust,1940PresidentRooseveltandPrimeMinisterChurchillmetandissuedtheAtlanticCharterwhichproclaimedthekindofaworldwhichshouldbeestablishedafterthewar.InDecember,1941,JapanlaunchedtheunprovokedattackontheUnitedStatesatPearlHarbor.Immediatelythereafter,GermanydeclaredwarontheUnitedStates.

6.Oneitemoccurringbefore1937thattheauthordoesnotmentioninhislistofactionsthatalienatedtheAmericanpublicwas___.

7.TheLend-LeaseActwasdesignedto___.

8.AmericanPolicyduringtheyears1935-1936maybedescribedasbeing___.

9.TheNeutralityActof1939___.

10.WeenteredthewaragainstGermany___.

問題1選項

A.theburningoftheReichstag

B.Germanplansforconquest

C.Nazibarbarism

D.thepersecutionofreligiousgroups

問題2選項

A.helptheBritish

B.strengthenthenationaldefenseoftheUnitedStates

C.promotetheAtlanticCharter

D.avengePearlHarbor

問題3選項

A.watchful

B.isolationist

C.peaceful

D.indifferent

問題4選項

A.permittedthesellingofarmstobelligerentnations

B.antagonizedJapan

C.permittedtheBritishtotradeonlywiththeAllies

D.ledtoLend-LeaseAct

問題5選項

A.becauseGermanydeclaredwar

B.becauseJapanwasanallyofGermany

C.afterGermanyhadsignedtheNazi-sovietPact

D.afterpeacefuleffortshadfailed

【答案】第1題:A

第2題:B

第3題:B

第4題:A

第5題:A

【解析】6.【試題答案】A

【試題解析】事實細節題。根據題干定位到原文第一段第二句Thecompetedestructionofdemocracy,thepersecutionofJews,thewaronreligion,thecrueltyandbarbarismoftheNazis,andespeciallytheplansofGermanyandherallies,ItalyandJapan,forworldconquestcausedgreatindignationinthiscountryandbroughtonfearofanotherworldwar.(民主的全面摧毀、對猶太人的迫害、摧殘宗教、納粹的殘忍和野蠻,特別是德國及其盟國意、日、征服世界的計劃激起美國極大憤怒,也帶來了又一次對世界大戰的恐懼)可知B選項“德國征服計劃”,C選項“納粹之殘暴”以及D選項“迫害宗教團體”都有提到;A選項“德國國會大廈被焚毀”未提及。因此A選項符合題意。

7.【試題答案】B

【試題解析】推理判斷題。根據題干關鍵字“TheLend-LeaseAct”定位到第二段ALendAct(1941)authorizedthePresidenttosell,exchange,orlendmaterialstoanycountrydeemednecessarybyhimforthedefenseoftheUnitedStates.(1941年的《租借法案》授權總統向他認為保衛美國所必需的任何國家出售、交換或出借物資。)可知選B選項“加強美國國防”;A選項“幫助英國”并不是《租借法案》真正的目的;C選項“促進大西洋憲章”,D選項“為珍珠港報仇”不符合題意。因此B選項正確。

8.【試題答案】B

【試題解析】事實細節題。根據題干關鍵字“1935-1936”定位到第一段WhilespeakingoutagainstHitler’satrocities,theAmericanpeoplegenerallyfavoredisolationistpoliciesandneutrality.TheNeutralityActsof1935and1936prohibitedtradewithanybelligerentsorloanstothem.(美國人民雖然反對希特勒的兇殘等事,他們一般還是喜歡孤立(與世隔絕的)政策和保持中立。1935年和1936年的中立條約規定:禁止和交戰國雙方貿易和借貸)可知選B選項“孤立主義”;A選項“警惕”,C選項“和平”以及D選項“漠不關心”都不符合原文。因此B選項正確。

9.【試題答案】A

【試題解析】事實細節題。根據題干關鍵字“1939”定位到原文第二段TheNeutralityActof1939repealedthearmsembargoandpermitted“cashandcarry”exportsofarmstobelligerentnations.(1939年的中立條約取消了武器禁運,并允許向交戰國家“現購自運”出口武器)可知選A選項“允許向交戰國家出售武器”;B選項“反感日本”,C選項“允許英國人只和同盟國進行貿易”以及D選項“導致借貸租賃法案”都和原文不符合。因此A選項正確。

10.【試題答案】A

【試題解析】事實細節題。根據原文最后一段Immediatelythereafter,GermanydeclaredwarontheUnitedStates.(此后,德國立即對美國宣戰)可以推測出美國加入對德國的戰爭是由于德國先對美國宣戰,選A選項“因為德國宣戰了”;B選項“因為日本是德國的盟友”,C選項“在德國簽署了納粹-蘇聯條約之后”以及D選項“愛好和平的努力失敗后”不符合原文。因此A選項正確。

5.單選題

Underthe(

)ofProfessorRoberts,the900delegatesassessedanddiscussedthesocialmarketeconomy.

問題1選項

A.custodian

B.alienation

C.tutelage

D.help

【答案】C

【解析】custodian管理人,監護人;alienation異化,疏遠;tutelage指導。句意:在Roberts教授的指導下,900名代表對社會市場經濟進行了評估和討論。選項C更符合語境。

6.單選題

Thechairmanmadea(n)()statementbeforebeginningthemainbusinessofthemeeting.

問題1選項

A.intensive

B.intermediate

C.preliminary

D.operational

【答案】C

【解析】形容詞詞義辨析。intensive加強的,集中的;intermediate中間的,起媒介作用的;preliminary初步的;operational操作的,運行的。句意:主席在開始會議的主要工作之前作了初步發言。選項C符合句意。

7.單選題

There()milkleftintherefrigerator.

問題1選項

A.aren’tany

B.aren’tsome

C.isn’tany

D.isn'tsome

【答案】C

【解析】考查語法。milk為不可數名詞,any用于否定句。故C項正確。句意:冰箱里沒有牛奶了。

8.單選題

What,canrigid,coldcalculatingmathematicspossiblyhaveincommonwithsubtle,creative,lofty,imaginativeart?Thisquestionfaithfullymirrorsthestateofmindofmostpeople,evenofmosteducatedpeople,whentheyregardthenumbersandsymbolsthatpopulatetheworldofmathematics.Butthegreatleadersofmathematicsthoughthavefrequentlyandrepeatedlyassertedthattheobjectoftheirpursuitisjustasmuchanartasitisascience,andperhapsevenafineart.MaximeBocher,andeminentmathematicianlivingatthebeginningofthiscentury,wrote:“Iliketolookatmathematicsalmostmoreasanartthanasascience;fortheactivityofthemathematician,constantlycreatingasheis,guidedalthoughnotcontrolledbytheexternalworldofthesenses,bearsaresemblance,notfanciful,Ibelieve,butreal,totheactivitiesoftheartist—ofapainter,letussay.Rigorousdeductivereasoningonthepartofthemathematicianmaybelikenedheretothetechnicalskillindrawingonthepartofthepainter.Justasonecannotbecomeapainterwithoutacertainamountofskill,sonoonecanbecomeamathematicianwithoutthepowertoreasonaccuratelyuptoacertainpoint.”Yetthesequalities,fundamentalthoughtheyare,donotmakeapainteroramathematicianworthyofthename,norindeedaretheythemostimportantfactorsinthecase.Otherqualitiesofafarmoresubtlesort,chiefamongwhichinbothcasesisimagination,gointothemakingofagoodartistoragoodmathematician.

Ifmathematicswantstolayclaimtobeinganart,however,itmostshowthatitpossessesandmakesuseofatleastsomeoftheelementsthatgotomakeupthethingsofbeauty.Isnotimagination,creativeimagination,themostessentialelementsofanart?Letustakeageometricobject,suchasthecircle.Totheordinaryman,thisistherimofawheel,perhapswithspokesinit.Elementarygeometryhascrowdedthissimplefigurewithradii,chords,sectors,tangents,diameters,inscribedandcircumscribedpolygons,andsoon.

Hereyouhavealreadyanentiregeometricalworldcreatedfromaveryrudimentarybeginning.Theseandothermiraclesareundeniableproofofthecreativepowerofthemathematician;and,asifthiswerenotenough,themathematicianallowsthewholecircleto“vanish”,declaresittobeimaginary,thenkeepsontoyingwithhisnewcreationinmuchthesamewayandwithmuchthesamegustoashedidwiththeinnocentlittlethingyouallowedhimtostartoutwith.Andallthis,rememberplease,isjustelementaryplanegeometry.Truly,thecreativeimaginationdisplayedbythemathematicianhasnowherebeenexceeded,notevenparalleled,and,Iwouldmakeboldtosay,nowevencloselyapproachedanywhereelse,nmanywaysmathematicsexhibitsthesameelementsofbeautythataregenerallyacknowledgedtobetheessenceofpoetry.Firstletusconsideraminorpoint:thepoetarrangeshiswritingsonthepageinverses.Hispoemfirstappealstotheeyebeforeitreachestheearorthemind;andsimilarly,themathematicianlinesuphisformulasandequationssothattheirformmaymakeanaestheticimpression.Somemathematiciansaregiventothisloveofarrangingandexhibitingtheirequationstoadegreethatbordersonafault.Trigonometry,abranchofelementarymathematicsparticularlyrichinformulas,offerssomecuriousgroupsofthem,curiousintheirsymmetryandtheirarrangement.

Thesuperiorityofpoetryoverotherformsofverbalexpressionliesfirstinthesymbolismusedinpoetry,andsecondlyinitsextremecondensationandeconomyofwords.Takeapoemofuniversallyacknowledgedmerit,say,Shelley’spoem“ToNight”.Hereisthesecondstanza:Wrapthyforminamantlegray,star-inwrought!BlindwiththinehairtheeyesofDay;Kissheruntilshebeweariedout;Thenwandero’ercity,andsea,andland.Touchingallwiththineopiatewand—Come,long-sought!

Takenliterally,allthisis,ofcourse,sheernonsenseandnothingelse.Nighthasnohair,nightdoesnotwearanyclothes,andnightisnotanillicitpeddlerofnarcotics.Butisthereanybodybalmyenoughtotakethewordsofthepoetliterally?Thewordshereareonlycomparisons,onlysymbols.Forthesakeofcondensationthepoetdoesn’tbotherstatingthathissymbolsmeansuchandsuch,butgoesontotreatthemasiftheywererealities.

Themathematiciandoesthesethingspreciselyasthepoetdoes.Takenumbersforexample,theveryideaofwhichisanabstraction,orsymbol.Whenyouwritethefigure3,youhavecreatedasymbolforasymbol,andwhenyousayinalgebrathatisanumber,youhavecondensedallthesymbolsforallthenumbersintooneall-embracingsymbol.These,likeothermathematicalsymbols,andlikethepoetssymbols,areacondensed,concentratedwayofstatingalongandrathercomplicatedchainofsimplegeometrical,algebraic,ornumericalrelations.Now,ismathematicsanart?

1.Thesimilaritybetweentheactivitiesofmathematiciansandthoseofartistsis().

2.InMaximeBocher’sopinion,whatisthefundamentalelementthatmakesagoodartistormathematician?

3.Inwhatwaydomathematiciansexhibitthesameelementsofbeautyaspoet?

4.Poetryissuperiortootherformsofexpressionforits().

5.Justlikepoets,mathematiciansmay().

問題1選項

A.botharecontrolledbytheexternalworld

B.bothrememberthesensesoftheworld

C.botharenotfancifulbutreal

D.bothinvolveconstantcreating

問題2選項

A.Numericalskills.

B.Imagination.

C.Creation.

D.Senseofbeauty.

問題3選項

A.Mathematicianswouldliketosparenoefforttomaketheirproofselegant.

B.Mathematicianslovetoarrangetheirformulasandequationssothattheytakeabeautifulform.

C.Mathematiciansseldomarrangetheirformulasandequationsinsymmetry.

D.Mathematiciansliketoarrangetheirformulasinverses.

問題4選項

A.unusualdiction

B.imaginativeexpression

C.symbolism,condensationandeconomyofwords

D.condensationandimaginativediction

問題5選項

A.usesymbolsforthesakeofcondensationandconcentration

B.usesymbolsforthesakeofcomparison

C.usepoemsasakindofsymbols

D.usenumberstosignifybeauty

【答案】第1題:D

第2題:B

第3題:B

第4題:C

第5題:A

【解析】1.事實細節題。根據題干關鍵詞定位到第一段fortheactivityofthemathematician,constantlycreatingasheis,guidedalthoughnotcontrolledbytheexternalworldofthesenses,bearsaresemblance,notfanciful,Ibelieve,butreal,totheactivities

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