可做指数函数引入视频十的幂课件

Letusgoonajourneyintheuniverse,jumpingthedistancesinPowersof10.让我们开始宇宙发现之旅，借由10的N次方，跨越由近到远，由远到近的距离，开始对宇宙宏观和微观的旅程Westartatatdistanceof1meter,thenwewillincreasebythepowerof10eachtime.Wewillproceedtothelimitsofourimagination,inthedirectionofthemacrocosm.我们先从1米的距离开始，然后每次按10的开方，由小到大看宏观世界，直到我们人类思维可以想象的尽头Then,wewillsetoutagainreturningtothestartingpoint.Then,fromtherewewillbeginavoyagetowardstheinfinitelysmallmicrocosm.然后，我们再回到起点，这次，按10的负开方，由大到小看微观世界Observethelawsoftheuniverseandreflectonyourhumancondition...从中我们观察宇宙的规律，反观我们人的状况Letusgoonajourneyinthe1Bonvoyage!旅途愉快！Bonvoyage!2Thisiswhatweseeunderoureyes:someleaves...我们视线所及的是一些树叶…1001metre1米Thisiswhatweseeunderour3Thevoyagestarts:onemovesawayfromtheprettyleavesandoneseesthetrees...发现之旅开始：视线挪到10米远的地方，看到的不再是漂亮的叶片，而是树…101

10metres10米Thevoyagestarts:onemovesa4Atthisdistance,oneseesthetrees,thebuildings...在这个距离，视线看到的是树林，还有建筑物…102100metres100米

Atthisdistance,oneseesthe5Nowwechangetokilometers!Fromhereonecanjumpinaparachute!现在视线距离是1公里，这么高的地方都可以跳伞了！1031km1000米Nowwechangetokilometers!6Hereweseeacity.Butonecannotdistinguishthedistrictswell...此刻，我们看到了城市。但是不能清楚地分辨城市里的不同地区…10410km10公里Hereweseeacity.Butoneca7ThisdistancemakesitpossibletoincludeallthestateofFlorida!100公里的距离，可以将整个Florida州尽收眼底！105100km100公里Thisdistancemakesitpossibl8Asseenbysatellite!从卫星上观察到的!1061.000km

1000公里Asseenbysatellite!1069Theblueplanet...Oneseesthecontinents,theclouds,thesea...蓝色的星球…看到大陆，看到云和海…10710.000km1万公里Theblueplanet...Oneseesth10Lostinspace...消失在宇宙中…108100.000km10万公里Lostinspace...10811OnecanseetheorbitofthemoonaroundtheEarth...看到月亮围绕地球运转的轨道…1091millionkm100万公里Onecanseetheorbitofthem12PartoftheorbitoftheEarthinblue...一片蓝色中地球的部分运转轨道…101010Millionkm1000万公里PartoftheorbitoftheEarth131011100millionkm1亿公里Orbitsof:Venus,EarthandMars.金星、地球和火星的运转轨道…1011Orbitsof:Venus,Earthan14Orbitsof:Mercury,Venus,Earth,MarsandJupiter.水星，金星，地球，火星和木星的运转轨道。1012

1billionkm10亿公里

Orbitsof:Mercury,Venus,Ear15Atthisdistance,weseeallthesolarsystem…此刻看到整个太阳系…101310billionkm100亿公里Atthisdistance,weseeallt161014

100billionkm1000亿公里Oursolarsystemstarts"todisappear"inspace...此刻太阳系开始从我们视线中渐远，消失在宇宙中…1014Oursolarsystemstarts"17Oursunisonlyonestaramongsomanyothers...我们的太阳系在这么多星系中此刻看上去象颗星星…10151trillionkm1万亿公里Oursunisonlyonestaramong18Wechangetolight-years:howtinyoursunis!1光年的距离:此刻看到我们的太阳系是多么的渺小！10161light-year1光年Wechangetolight-years:how19Hereoneseesonlyinfinitesky...此刻我们看到的是无限的星空…101710light-years10光年Hereoneseesonlyinfinitesk20NothingotherthanthenebulasoftheMilkyWay...看到的全是银河中的云翳，别无他物…1018100light-years100光年Nothingotherthanthenebulas2110191,000light-years1000光年Atthisdistanceweseedeepspace...此刻看到的是深远的宇宙…1019Atthisdistanceweseede22Wecontinueour"voyage"intheMilkyWay...继续我们在银河中的旅程…102010,000light-years1万光年Wecontinueour"voyage"inth23WearriveatthebordersoftheMilkyWay.我们现在到达了银河的边界。1021100,000light-years10万光年Wearriveatthebordersofth24Ourgalaxyandothers...我们的银河系，和其它的星系…10221Millionlight-years100万光年Ourgalaxyandothers...102225Vastness,infinity...thegalaxiesarecomprisedonlyofsmallthingsand,betweenthem,“empty”spaces.Everywherethesamelawgovernsallthebodiesoftheuniverse.广袤，无限…星系都是由更小的星系组成，彼此之间是空无一物的空间。这个规律适用于宇宙中的任何物体。Weareveryfarawayindeed...butletusreturnquicklytoourMotherEarth.我们在旅程中此刻走得很远很远…现在，让我们回到地球。1023-10millionlight-years

1000万光年Vastness,infinity...thegal26102210222710211021281020102029101910193010181018311017101732101610163310151015341014101435101310133610121012371011101138101010103910910940108WecanseetheEarth!!!我们看到了地球!!!108WecanseetheEarth!!!41107Ourhumanraceisconcentratedonthissmallblueplanet...人类都集中生活在这个看起来小小的蓝色星球上…107Ourhumanraceisconcentra42106Thelawsofnatureareidenticalintwodirections…goingouttothemacrocosm,andcomingintowardsthemicrocosm自然规律在正反两个方向上都是相似的…无论是宏观向外扩张，还是微观向内缩小106Thelawsofnatureareiden43105YousawtheEarthlostinspace...我们看到地球消失在宇宙中…105YousawtheEarthlostins44104Existentialquestionsemerge:whoarewe,fromwheredocome,wherearewegoing...???存在的问题开始冒出来：我们是谁，来自哪里，去向哪里…???104Existentialquestionsemerg45103Whatisthemeaningoftheuniverse?宇宙存在的意义是什么？103Whatisthemeaningofthe46102Whatavoyage!多么奇妙的旅程！102Whatavoyage!47101Now,let’sproceedtowardssmallerandsmallerdimensionsofspace

现在，让我们从起点上开始相反方向的旅程，开始微观世界的旅程101Now,let’sproceedtowards48Ourpointofdeparture...Remember?还记得吗？我们的旅程是从这里开始的…100Ourpointofdeparture...10049Itisanoakleaf.这是片橡树叶子。10-110Centimetres10厘米Itisanoakleaf.10-150Onecanobservethedetailsoftheveinsoftheleaf.可以观察到叶脉的清晰纹路。10-21Centimetre1厘米Onecanobservethedetailsof51CellularStructures...细胞组成的结构…10-31Millimetre1毫米CellularStructures...10-352Thecellsarevisible...细胞开始可见…10-4100microns100微米Thecellsarevisible...10-453Let’smovetowardstheinteriorofthecell...开始进入细胞的内部…10-510microns10微米Let’smovetowardstheinterio54Thenucleusofanindividualcell…单个细胞的核…10-61micron1微米Thenucleusofanindividualc55Onthissmallerscale,onecanseethechromosomes...现在可以看到染色体…10-71,000Angstroms1000埃Onthissmallerscale,onecan56Inthismicroscopicuniverse,onecanseethechainsofDNA...在显微镜下，看到的DNA链…10-8100Angstroms100埃Inthismicroscopicuniverse,57Fascinating!如此让人着迷，不可置信!10-910Angstroms10埃Fascinating!10-958"Clouds"ofelectronsinacarbonatom,withlotsofemptyspace.碳原子内的电子云，中间是许多的空间。Everythinginourworldismadeinthisway.Notetheresemblancebetweenmacroandmicrocosm!世界的事物都是如此构成的。看看微观和宏观世界的相似之处。10-101Angstrom1埃"Clouds"ofelectronsinacar59Inthisinfinitelysmallworld,onecannotetheelectronsinthefieldoftheatom...Thisislikethenumerousbodiesinthesky!在这个无限缩小的世界中，我们看到原子中的众多电子…就象星空中的无数星体！10-1110picometres10皮米Inthisinfinitelysmallworld60Animmenseemptinessbetweenthenucleusandtheorbitsoftheelectrons...在原子核与电子的轨道之间，是无限的空间…10-121Picometre1皮米Animmenseemptinessbetweent61Thismeasurementscaleappliestothesizeofthenucleusofanatom.现在看到的是原子中的原子核。10-13100Femtometre100飞米Thismeasurementscaleapplies62Wehaveasinglecarbonatom!看到一个单个的碳原子！10-1410Femtometres10飞米Wehaveasinglecarbonatom!63Weareintherealmofscientificimagination:facetofacewithaproton!现在进到科学发现的深处：原子核中的质子！10-151Femtometre1飞米Weareintherealmofscienti64Let’sexaminetheparticlescalledquarks…看看我们眼前的这个小颗粒，称为夸克…

Andherewemuststop:Wehavearrivedatthelimitsofscientificknowledge!我们得到此打住了：已经来到了科学目前已知的极限！10-16100Attometres100阿米Let’sexaminetheparticlesca65Andnow?Doyoualwaysfindthatyouarethenaveloftheworld?Theperfectresultofcreation?现在，想想？你是否总是发现自己是世界的中心？完美创造的结晶？Whatexistsbeyondthelimits?Arethereanylimits?Ourvoyageintheinfinitelysmalldimensionstoppedwith100attometresandwiththequarkbecausewedonotknowanymore.Intheory,wecouldhavecontinued...Aninfinitejourneyineitherdirection(macrocosmormicrocosm)!已知的极限之外是什么呢？是否存在极限？我们对微观世界的探索到100attometer，夸克上打住了，因为我们目前已知的就到此。理论上，我们本可以继续…无论是微观还是宏观方向！Ourimaginationiswithoutlimits...我们的想象是没有极限的…Question:arewealoneintheuniverse?问题：我们在宇宙中是否孤独存在？Andnow?Doyoualwaysfindth66Letusgoonajourneyintheuniverse,jumpingthedistancesinPowersof10.让我们开始宇宙发现之旅，借由10的N次方，跨越由近到远，由远到近的距离，开始对宇宙宏观和微观的旅程Westartatatdistanceof1meter,thenwewillincreasebythepowerof10eachtime.Wewillproceedtothelimitsofourimagination,inthedirectionofthemacrocosm.我们先从1米的距离开始，然后每次按10的开方，由小到大看宏观世界，直到我们人类思维可以想象的尽头Then,wewillsetoutagainreturningtothestartingpoint.Then,fromtherewewillbeginavoyagetowardstheinfinitelysmallmicrocosm.然后，我们再回到起点，这次，按10的负开方，由大到小看微观世界Observethelawsoftheuniverseandreflectonyourhumancondition...从中我们观察宇宙的规律，反观我们人的状况Letusgoonajourneyinthe67Bonvoyage!旅途愉快！Bonvoyage!68Thisiswhatweseeunderoureyes:someleaves...我们视线所及的是一些树叶…1001metre1米Thisiswhatweseeunderour69Thevoyagestarts:onemovesawayfromtheprettyleavesandoneseesthetrees...发现之旅开始：视线挪到10米远的地方，看到的不再是漂亮的叶片，而是树…101

10metres10米Thevoyagestarts:onemovesa70Atthisdistance,oneseesthetrees,thebuildings...在这个距离，视线看到的是树林，还有建筑物…102100metres100米

Atthisdistance,oneseesthe71Nowwechangetokilometers!Fromhereonecanjumpinaparachute!现在视线距离是1公里，这么高的地方都可以跳伞了！1031km1000米Nowwechangetokilometers!72Hereweseeacity.Butonecannotdistinguishthedistrictswell...此刻，我们看到了城市。但是不能清楚地分辨城市里的不同地区…10410km10公里Hereweseeacity.Butoneca73ThisdistancemakesitpossibletoincludeallthestateofFlorida!100公里的距离，可以将整个Florida州尽收眼底！105100km100公里Thisdistancemakesitpossibl74Asseenbysatellite!从卫星上观察到的!1061.000km

1000公里Asseenbysatellite!10675Theblueplanet...Oneseesthecontinents,theclouds,thesea...蓝色的星球…看到大陆，看到云和海…10710.000km1万公里Theblueplanet...Oneseesth76Lostinspace...消失在宇宙中…108100.000km10万公里Lostinspace...10877OnecanseetheorbitofthemoonaroundtheEarth...看到月亮围绕地球运转的轨道…1091millionkm100万公里Onecanseetheorbitofthem78PartoftheorbitoftheEarthinblue...一片蓝色中地球的部分运转轨道…101010Millionkm1000万公里PartoftheorbitoftheEarth791011100millionkm1亿公里Orbitsof:Venus,EarthandMars.金星、地球和火星的运转轨道…1011Orbitsof:Venus,Earthan80Orbitsof:Mercury,Venus,Earth,MarsandJupiter.水星，金星，地球，火星和木星的运转轨道。1012

1billionkm10亿公里

Orbitsof:Mercury,Venus,Ear81Atthisdistance,weseeallthesolarsystem…此刻看到整个太阳系…101310billionkm100亿公里Atthisdistance,weseeallt821014

100billionkm1000亿公里Oursolarsystemstarts"todisappear"inspace...此刻太阳系开始从我们视线中渐远，消失在宇宙中…1014Oursolarsystemstarts"83Oursunisonlyonestaramongsomanyothers...我们的太阳系在这么多星系中此刻看上去象颗星星…10151trillionkm1万亿公里Oursunisonlyonestaramong84Wechangetolight-years:howtinyoursunis!1光年的距离:此刻看到我们的太阳系是多么的渺小！10161light-year1光年Wechangetolight-years:how85Hereoneseesonlyinfinitesky...此刻我们看到的是无限的星空…101710light-years10光年Hereoneseesonlyinfinitesk86NothingotherthanthenebulasoftheMilkyWay...看到的全是银河中的云翳，别无他物…1018100light-years100光年Nothingotherthanthenebulas8710191,000light-years1000光年Atthisdistanceweseedeepspace...此刻看到的是深远的宇宙…1019Atthisdistanceweseede88Wecontinueour"voyage"intheMilkyWay...继续我们在银河中的旅程…102010,000light-years1万光年Wecontinueour"voyage"inth89WearriveatthebordersoftheMilkyWay.我们现在到达了银河的边界。1021100,000light-years10万光年Wearriveatthebordersofth90Ourgalaxyandothers...我们的银河系，和其它的星系…10221Millionlight-years100万光年Ourgalaxyandothers...102291Vastness,infinity...thegalaxiesarecomprisedonlyofsmallthingsand,betweenthem,“empty”spaces.Everywherethesamelawgovernsallthebodiesoftheuniverse.广袤，无限…星系都是由更小的星系组成，彼此之间是空无一物的空间。这个规律适用于宇宙中的任何物体。Weareveryfarawayindeed...butletusreturnquicklytoourMotherEarth.我们在旅程中此刻走得很远很远…现在，让我们回到地球。1023-10millionlight-years

1000万光年Vastness,infinity...thegal921022102293102110219410201020951019101996101810189710171017981016101699101510151001014101410110131013102101210121031011101110410101010105109109106108WecanseetheEarth!!!我们看到了地球!!!108WecanseetheEarth!!!107107Ourhumanraceisconcentratedonthissmallblueplanet...人类都集中生活在这个看起来小小的蓝色星球上…107Ourhumanraceisconcentra108106Thelawsofnatureareidenticalintwodirections…goingouttothemacrocosm,andcomingintowardsthemicrocosm自然规律在正反两个方向上都是相似的…无论是宏观向外扩张，还是微观向内缩小106Thelawsofnatureareiden109105YousawtheEarthlostinspace...我们看到地球消失在宇宙中…105YousawtheEarthlostins110104Existentialquestionsemerge:whoarewe,fromwheredocome,wherearewegoing...???存在的问题开始冒出来：我们是谁，来自哪里，去向哪里…???104Existentialquestionsemerg111103Whatisthemeaningoftheuniverse?宇宙存在的意义是什么？103Whatisthemeaningofthe112102Whatavoyage!多么奇妙的旅程！102Whatavoyage!113101Now,let’sproceedtowardssmallerandsmallerdimensionsofspace

现在，让我们从起点上开始相反方向的旅程，开始微观世界的旅程101Now,let’sproceedtowards114Ourpointofdeparture...Remember?还记得吗？我们的旅程是从这里开始的…100Ourpointofdeparture...100115Itisanoakleaf.这是片橡树叶子。10-110Centimetres10厘米Itisanoakleaf.10-1116Onecanobservethedetailsoftheveinsoftheleaf.可以观察到叶脉的清晰纹路。10-21Centimetre1厘米Onecanobservethedetailsof117CellularStructures...细胞组成的结构…10-31Millimetre1毫米CellularStructures...10-3118Thecellsarevisible...细胞开始可见…10-4100microns100微米Thecellsarevisible...10-4119Let’smovetowardstheinteriorofthecell...开始进入细胞的内部…10-510microns10微米Let’smovetowardstheinterio120Thenucleusofanindividualcell…单个细胞的核…10-61micron1微米Thenucleusofanindividualc121Onthissmallerscale,onecanseethechromosomes...现在可以看到染色体…10-71,000Angstroms1000埃Onthissmallerscale,onecan122Inthismicroscopicuniverse,onecanseethechainsofDNA...在显微镜下，看到的DNA链…10-8100Angstroms100埃Inthismicroscopicuniverse,123Fascinating!如此让人着迷，不可置信!10-910Angstroms10埃Fascinating!10-9124"Clouds"ofelectronsinacarbonatom,withlotsofemptyspace.碳原子内的电子云，中间是许多的空间。Everythinginourworldismadeinthisway.Notetheresemblancebetweenmacroandmicrocosm!世界的事物都是如此构成的。看看微观和宏观世界的相似之处。10-101Angstrom1埃"Clouds"ofelectronsinacar125Inthisinfinitelysmallworld,onecannotetheelect