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求方程组的 通解。
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设n元线性方程组Ax=b其中[*]x=x1xnTb=100T.1证明行列式|A|=n+1an.2a为
设线性非齐次方程组AX=α1α2α3α4X=α5有通解k-1203T+2-315T.Ⅰ求方程组α2.
设A3×3=[α1α2α3]方程组AX=β有通解kξ+η=k[12-3]T+[2-11]T其中k是任
已知齐次方程组求n的值并求方程组Ⅰ的通解.
设n元线性方程组Ax=b其中 Ⅰ证明行列式〡A〡=n+1an Ⅱ当a为何值时该方程组有唯一解并求x
已知A=α1α2α3α4是4阶矩阵α1α2α3α4是4维列向量若方程组Ax=β的通解是1221T+k
设矩阵A=α1α2α3线性方程组Ax=β的通解是1-20T+k211T若B=α1α2α3β-5α3求
设已知线性方程组Ax=b存在2个不同解 1求λa 2求方程组Ax=b的通解
设A为m×n矩阵且[*]其中[*].Ⅰ证明方程组AX=b有且仅有n-r+1个线性无关解Ⅱ[*]有三个
设方程组的基础解系解向量个数为2求c及方程组的通解.
已知A=α1α2α3α4是4阶矩阵α1α2α3α4是4维列向量若方程组Ax=β的通解是1221T+k
已知非齐次线性方程组 有三个线性无关的解 Ⅰ证明方程组系数矩阵A的秩rA=2 Ⅱ求ab的值及方程
设A3×3是实对称矩阵|A|=-12A的三个特征值之和为1且α=10-2T是方程组A*-4Ex=0的
设有齐次线性方程组[*]试问a取何值时该方程组有非零解.并求出其通解.
设A3×3是实对称矩阵|A|=-12A的三个特征值之和为1且α=10-2T是方程组A*-4Ex=0的
设A为三阶矩阵其第一行元素abc不全为零[*]且AB=O求方程组AX=0的通解
设已知线性方程组Ax=b存在2个不同的解Ⅰ求λaⅡ求方程组Ax=b的通解.
已知齐次方程组求n的值并求方程组Ⅰ的通解.
已知A=α1α2α3α4是4阶矩阵α1α2α3α4是4维列向量若方程组Ax=β的通解是1221T+k
设矩阵A=α1α2α3线性方程组Ax=β的通解是1-2oT+k211T若B=α1α2α3β-5α3求
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"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 30
ItssomewhatambitioustitlewasTheBookofLifeanditattemptedtoshowhowmuchanobservantmanmightlearnbyanaccurateandsystematicexaminationofallthatcameinhisway.
A BrianarrivedatSanFranciscoairporttwohoursbeforetheflighttoParis.Hewaswearingthreeshirtsajackettwopairsofsocksapairofshortsandtwopairsofjeans.Hewascarryingonesmallbackpackwhichwasveryfullbuthedidn’thaveanyotherluggage.BrianneededtomeetamannamedTonybeforehecheckedinforhisflight.HefoundTonyneartheAirFrancecounter.Tonygavehimaround-tripticketandasmallpackage. "GivethispackagetoJean-PaulattheairportinParis.Hewillhaveasignwithyournameonit.Ithinkyoucanfindhimeasily"Tonysaid"Youdon’thaveanyluggageright" "Onlythisbackpack"Briananswered."YousaidIcouldbringonecarry-onbag." "That’sright.Onecarry-onbagisfine.Haveagoodtrip." "Thanks." IsBrianacriminal罪犯Notatall.Heisanaircourier.Andhepaidonly$110fortheround-triptickettoParis.Aircouriersgetcheapairlineticketsbecausetheytakeimportantpackagesandpaperstoforeigncountries.Businessessometimesneedtogetpackagesandpaperstopeopleinforeigncountriesbythenextday.Oftentheonlywaytheycandothisistouseanair-couriercompany.Itisnotcheapforabusinesstosendapackagewithanaircourierbutitisquick. Everyyearabout80000peopleworldwidetravelasaircouriers.Thenumberofticketsforcouriertravelisgrowingbyabout10percentayear.Howeverair-couriertravelisn’tforeveryone.Butifyouhaveverylittlemoneycanbeflexible灵活的aboutyourtravelplansanddon’tmindwearingthesameclothesforaweekitcanbeagreatwaytotakeavacation! WhywasBrianwearingsomanyclothesforhistravel
Someadvancedmaterialsareanoldstandardwithanewtwist.Thenewestfiberopticcablesthatcarrytelephonecallscross-countryaremadeofglasssotransparentthatapieceof100milesthickisclearerthanastandardwindowpane.
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E Manypeoplebelievetheglarefromsnowcausessnowblindnenss.Yetdarkglassesornottheyfindthemselvessufferingfromheadachesandwateringeyesandevensnowblindnesswhenex-posedtoseveralhoursof"snowlight". TheUnitedStatesarmyhasnowdeterminedthatglarefromsnowdoesnotcausesnowblindnessintroopsinasnow-coveredcountry.Ratheraman’seyesfrequentlyfindnothingtofocusoninabroadexpanseofbarrensnow-coveredterrain.Sohisgazecontinuallyshiftsandjumpsbackandforthovertheentirelandscapeinsearchofsomethingtolookat.Findingnothinghourafterhourtheeyesneverstopsearchingandtheeyeballsbecomesoreandtheeyemusclesache.Natureoffsetsthisirritationbyproducingmoreandfluidwhichcoverstheeyeball.Thefluidcoverstheeyeballinincreasingquantityuntilvisionblursthenisobservedandtheresultistotaleventhoughtemporarysnowblindness. Experimentsledthearmytoasimplemethodofovercomingthisproblem.Scoutsaheadofamainbodyoftroopsaretrainedtoshakesnowfromevergreenbushescreatingadottedlineastheycrosscompletelysnow-coveredlandscape.Eventhescoutsthemselvesthrowlightweightdarkcoloredobjectsaheadonwhichtheytoocanfocus.Themenfollowingcanthenseesomething.Theirgazeisarrested.Theireyesfocusonabushandhavingfoundsomethingtoseestopscouringthesnow-blanketedlanscape.Byfocusingtheirattentionononeobjectatatimethemencancrossthesnowwithoutbecominghopelesslysnowblindorlost.Inthiswaytheproblemofcrossingasolidwhiteterrainisovercome. Asuitabletideforthispassagewouldbe
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 20
普通中小学教育的性质是
D Howshouldoneinvestasumofmoneyinthesedaysofinflation通货膨胀Leftinabankitwillhardlykeepitsvaluehoweverhightheinterestrateis.OnlyabravemanoraveryrichonedarestobuyandsellontheStockMarket.Todayitseemsthatoneofthebestwaystoprotectyoursavingsandevenincreaseyourwealthistobuybeautifulobjectsfromthepast.HereIamgoingtooffersomeadviceoncollectingantiqueclockswhichIpersonallyconsiderareamongthemostinterestingofantiques. Isometimeswonderwhatabeingfromanotherplanetmightreportbackaboutourwayoflife."TheplanetEarthisruledbyamysteriouscreaturethatsitsorstandsinaroomandmakesastrangetickingsound.Ithasafacewithtwelveblackmarksandtwohands.Mencandonothingwithoutitspermissionanditfastensitsyoungroundpeople’swristssothateverywheremengotheyarestillunderitscontrol.ThiscreatureistherealmasterofEarthandmenareitsslaves." Whetherornotweareslavesoftimetodaydependsonourcultureandpersonalitybutitisbelievedthatmanyyearsagokingskeptspecialslavestotellthetime.Certainmenwereverycleveratmeasuringthetimeofdayaccordingtothebeatingoftheirownhearts.Theyweremadetostandinafixedplaceandeveryhourorsowouldshoutthetime.Soitseemsthatthefirstclockswerehumanbeings. Howevermenquicklyfoundmoreconvenientandreliablewaysoftellingthetime.Theylearnedtousetheshadowscastbythesun.Theymarkedthehoursoncandlesusedsandinhour-glassesandinventedwater-clocks.Indeedanyseriousstudentofantiquesshouldspendasmuchtimeaspossiblevisitingpalacesstatelyhomesandmuseumstoseesomeofthefinestexamplesofclocksfromthepast. Antiqueclockscouldbeveryexpensivebutoneofthejoysofcollectingclocksisthatitisstillpossibletofindquitecheaponesforyourownhome.Afterallifyouaregoingtoberuledbythetimewhynotinvestinairantiqueclockandperhapsmakeafutureprofit TheunderlinedphrasestatelyhomesinParagraph4means
墨子的教育思想中除注重文史知识的掌握和逻辑思维能力的培养外还包括
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 28
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 32
ThehouseIgrewup______hasbeentakendownandreplacedbyanofficebuilding.
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 26
20世纪以后教育的新特点包括
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 16
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 34
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 18
E Manypeoplebelievetheglarefromsnowcausessnowblindnenss.Yetdarkglassesornottheyfindthemselvessufferingfromheadachesandwateringeyesandevensnowblindnesswhenex-posedtoseveralhoursof"snowlight". TheUnitedStatesarmyhasnowdeterminedthatglarefromsnowdoesnotcausesnowblindnessintroopsinasnow-coveredcountry.Ratheraman’seyesfrequentlyfindnothingtofocusoninabroadexpanseofbarrensnow-coveredterrain.Sohisgazecontinuallyshiftsandjumpsbackandforthovertheentirelandscapeinsearchofsomethingtolookat.Findingnothinghourafterhourtheeyesneverstopsearchingandtheeyeballsbecomesoreandtheeyemusclesache.Natureoffsetsthisirritationbyproducingmoreandfluidwhichcoverstheeyeball.Thefluidcoverstheeyeballinincreasingquantityuntilvisionblursthenisobservedandtheresultistotaleventhoughtemporarysnowblindness. Experimentsledthearmytoasimplemethodofovercomingthisproblem.Scoutsaheadofamainbodyoftroopsaretrainedtoshakesnowfromevergreenbushescreatingadottedlineastheycrosscompletelysnow-coveredlandscape.Eventhescoutsthemselvesthrowlightweightdarkcoloredobjectsaheadonwhichtheytoocanfocus.Themenfollowingcanthenseesomething.Theirgazeisarrested.Theireyesfocusonabushandhavingfoundsomethingtoseestopscouringthesnow-blanketedlanscape.Byfocusingtheirattentionononeobjectatatimethemencancrossthesnowwithoutbecominghopelesslysnowblindorlost.Inthiswaytheproblemofcrossingasolidwhiteterrainisovercome. Snowblindnessmaybeavoidedby
Thegirllikes______and______.
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 24
______therightkindoftrainingtheseteenagesoccerplayersmayonedaygrowintointernationalstars.
Tooursurprisethestranger______tobeanoldfriendofmymother’s.
—Haveyougotanyideaforthesummervacation—Idon’tmindwherewego______there’ssunseaandbeach.
"It’snouseMum"saidJohnny."I’mjustnogoodatdancing." "You’vegottokeeptrying.Tonightwillbe16dear.TryaturnwiththatprettyLisette." Johnny17EverySaturdaynightusedtobethebestoftheweek.Heandhisparentswenttothe18attheClubwherehisheroAlcideplayedtheaccordion手风琴withtheband.Butlatelyeverythinghadchanged.NowthatJohnnywasolderhewas19todancewithagirl! 20JohnnyandhisparentsarrivedattheClubmusichadalreadystarted.Johnnygotuphis21toapproachLisette.“MayIhavethisdance”Johnnyasked.“That’sallright”saidLisette.JohnnystruggledtokeepupwithLisette’s22stepsbuthewasalwaysonebeatbehindher.ThenJohnnyheardhisfriendPierresay"Look!Johnnyhastwoleftfeet!"23burstfromthecrowd.Johnny24andranoutsidedeterminednevertogotoanotherdance. ThenextSaturdayAlcide25toJohnny’shouseforsomepotatoes.HehappenedtohearJohnnyplayingtheaccordion.Alcide’seyes26"Bringthataccordionandplaysomesongsto-night"Alcidesaid.ThenhedroveoffleavingJohnnystaringopen-mouthed27him. AttheClubJohnnyscannedthecrowdforLisetteand28her.ThebandplayedforalongtimebeforeAlcidesaid"DearfriendsIgota29foryoutonight.YoungJohnnyisgoingtojoinus!"30Johnnysteppedupontheplatformhiseyesonthefloor.Hebegantoplayandtheband31behindhim.Whenthesongendedheheardcheers.Johnnykeptplayinguntilthedancewas32"Youdidafinejobtonight.PlaywithusagainnextSaturdaynight"Alcidesaid."Yessir!"saidJohnny.33hewentoutsideJohnnysawLisetteandherfriendsnearthedoor.Lisettestepped34smiling."Youplayedreallygoodtonight!"shesaid. "Thankyou"Johnnyblushed脸红.AshewalkedonPierre35movedoutofthewayforhimtopass. Johnnypattedhisaccordion.CometothinkofitinhiswholelifehehadneveronceseenAlcideoutonthedancefloor. 22
E Manypeoplebelievetheglarefromsnowcausessnowblindnenss.Yetdarkglassesornottheyfindthemselvessufferingfromheadachesandwateringeyesandevensnowblindnesswhenex-posedtoseveralhoursof"snowlight". TheUnitedStatesarmyhasnowdeterminedthatglarefromsnowdoesnotcausesnowblindnessintroopsinasnow-coveredcountry.Ratheraman’seyesfrequentlyfindnothingtofocusoninabroadexpanseofbarrensnow-coveredterrain.Sohisgazecontinuallyshiftsandjumpsbackandforthovertheentirelandscapeinsearchofsomethingtolookat.Findingnothinghourafterhourtheeyesneverstopsearchingandtheeyeballsbecomesoreandtheeyemusclesache.Natureoffsetsthisirritationbyproducingmoreandfluidwhichcoverstheeyeball.Thefluidcoverstheeyeballinincreasingquantityuntilvisionblursthenisobservedandtheresultistotaleventhoughtemporarysnowblindness. Experimentsledthearmytoasimplemethodofovercomingthisproblem.Scoutsaheadofamainbodyoftroopsaretrainedtoshakesnowfromevergreenbushescreatingadottedlineastheycrosscompletelysnow-coveredlandscape.Eventhescoutsthemselvesthrowlightweightdarkcoloredobjectsaheadonwhichtheytoocanfocus.Themenfollowingcanthenseesomething.Theirgazeisarrested.Theireyesfocusonabushandhavingfoundsomethingtoseestopscouringthesnow-blanketedlanscape.Byfocusingtheirattentionononeobjectatatimethemencancrossthesnowwithoutbecominghopelesslysnowblindorlost.Inthiswaytheproblemofcrossingasolidwhiteterrainisovercome. Topreventheadacheswateringeyesandblindnesscausedbytheglarefromsnowdarkglassesare
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