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04.09.03, ʿԾ
04.09.03, 㡶ѧͺѧѧȱλ
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04.09.03, ĻܱڷȨѴ
04.09.03, ֮áˮ񡪡֮
04.09.03, ڡһ峯ʹߵĶ˹ŮڴǩԼ

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                         ֲе

                             ӡ

    ˿ϵġ÷÷ǻҶݡʷϣ
Ҷһֲֺ˵һҶϣڶҶģ
Ҷ飬ҵҶҶݣͻύϺˣҵҸ
ҰѰҶҶݣͯһϷҵݹƣ
ÿһҶݣŻһҶͻ͡

    й÷Ƶ塣䴫˵÷帣
÷Ϊ÷干ͣжס峣
塣÷ö겢ǶأʵϣĻĿ
ö÷ͬǾޱƵ֣ҡӣӡƻȵ
Ͷ껨ĻУ3öβٺϻȥ6öʵ
3ö8öݣ13öҶգտĻе21ö
34öյĻе345589öĿĻ١Ϊ
ʲôĿֲģ3, 5, 8, 13, 21, 34, 55, 89,...ЩĿ
ʲô

    еģ쳲쳲1170-1240ѧң
ĿڽһӷֳʱóС
ٶһһһԸճӣڳһ´Сʱʼ䣬
ڶ½ʱӲһӣһºҲʼֳ
ȥÿֻڿʼֳʱÿ¶һӣٶû
һܹжٶӣ

    һµףһӽ䣬ǻֻ1ӣڶµף
һӣ2ӣµףϵĴòµڶӣ
3ӣµףϵĴòµӣǰĴòһ
ӣ5ӣȥӶֱǣ1, 1, 2, 
3, 5, 8, 13, 21, 34, 55, 89, 144, ...𣿴ӵ3Ŀʼ
ÿĿǰĿ֮͡

    ֲƺ쳲ԡҶ֦ʵӵȵ
̬ɷ쳲ҶָҶھϵзʽ
ǻҶ򣬼ÿֻ1ҶȡһҶΪ㣬
ӸҶӵ㣬Էһߣϣֱ
ϷһƬҶӵǡҶغϣΪյ㡣Ҷ
յҶ֮ƾΪҶܡֲͬҶܿܲͬ
֮ҶҲܲͬܣҶΪ1ƾ1ܣ2ҶɣҶ
Ϊ13ҶңҶΪ25Ҷ棬ҶΪ38ҶӣҶ
Ϊ513ҶɣҶΪ821ҶùʽʾƾΪӣ
ҶΪĸֱΪ1/2, 1/3, 2/5, 3/8, 5/13, 8/21, Щ
ҶʽݹƴԼ90ֲҶ򣬶ȫ쳲
ɵġ

    ۲տĻ̣ᷢǶһ
ߣһ˳ʱ뷽һʱ뷽ЩߵĿ
ȻͬƷֵտͬߵĿһ3455
558989144ǰһ˳ʱһʱ
ÿֶ쳲ڵٿܡɹϵƬ
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ߣߵĿǲҲڵ쳲˳ʱ5
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ҲгߣĿҲڵ쳲

    Ϊʲôֲƫ쳲һϵġڹϣͱ
ע⵽ȥһءйءٶһգ
Ȥѧϵ

^2 - ^1 -^0 =0



^2 - -1 =0

̣⣺

(1 + 5) / 2 = 1.6180339887...
(1 - 5) / 2 = - 0.6180339887...

    עСȫͬġ⣨1.6180339887...
ΪƽƽʣͨæձʾһС޲ѭû
ʾͬԲʦ22/7Ȼ
e19/7, 27/5ͿԺܾȷؽƱʾ򲻿÷ĸΪ
λķȷơ

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1/ = -1ʱҲΪƽƽʡһֱAB
CָAB/AC = AC/CBôȵڻƽC㱻Ϊƽָ㡣
һεĶ36ȣôĸߵıȵڻƽ
γΪƽΡһεĳǻƽôи
һ߳ΪΣʣµСεĳȻǻƽľγ
ΪƽΣķиȥõһԽԽСĻƽ
ΣЩƽεĶԽûγһߡ
ıֽ־顢ֽš֤ÿõ״ӽڻƽΣ˵
״˿ȥȷǵУƽ޴ڣ
ƷճƷ϶ϲõΪǸег

    ôƽ쳲ʲôϵأķ̣^2 - -1 =0
ɵã

 = 1 + 1/ 
   = 1 + 1/ (1 + 1/) 
   = ... 
   = 1 + 1/( 1 + 1/( 1 + 1/( 1 +...))) 

    Ĺʽü˼գ1ȡ1ȡ
1ȡᷢܺԽԽӽա÷С
ʾıƽ裺

  1 
  1 + 1/1 = 2/1 = 2
  1 + 1/(1+1/1) = 3/2 = 1.5
  1 + 1/(1+1/(1+1)) = 5/3 = 1.666667
  1 + 1/(1+1/(1+(1+1))) = 8/5 = 1.6
  1 + 1/(1+1/(1+(1+(1+1)))) = 13/8 = 1.625
  1 + 1/(1+1/(1+(1+(1+(1+1))))) = 21/13 =  1.615385
  1 + 1/(1+1/(1+(1+(1+(1+(1+1)))))) = 34/21 = 1.619048
  1 + 1/(1+1/(1+(1+(1+(1+(1+(1+1))))))) = 55/34 = 1.617647
  1 + 1/(1+1/(1+(1+(1+(1+(1+(1+(1+1)))))))) = 89/55 = 1.618182
...

    ûУϷķӡĸڵ쳲ԭ
ıȽƵڦգĿԽԽӽʱȾ͵ڦա
ƽϵһġֲϲ쳲ʵϲƽ
ΪʲôأĪڤڤ֮ʲôţϵг

    ֲ֦ҶӺͻͬԴǴӾķ֯γѿ
ġѿķǰһѿķͬתһ̶ĽǶȡ
Ҫֵռ䣬ѿӦѿþܵԶô
ѽǶǶأǿ԰Ƕд360 n0n 1
һǶһģֻתķͬn=0.4n=0.6ʵϽ
ֻͬ迼 0.5n1ѿҪǰһѿþԶ
ӦԲ࣬n = 0.5 =1/2Ļ2ѿѿͬ򣬵3
ѿ1ѿͬ򣬡Ҳ˵1ܾͳصܹ
ֻмĿռ䶼˷ˡ0.6 = 3/5 أ3ܾͳص
ܹҲֻ5ʵϣnǸ p/qζpܾͳ
صq

    Ȼnû÷ʾͻᡰöࡣѡʲô
أԲʦСȻe͡2ǺܺõѡΪǵСֱַ
1/7, 5/72/5ǳӽҲǷֱ1, 52ܾͳصֱֻܹ7, 
75ԽǣԽԽãԽǰѾ
ᵽǻƽա1.618Ҳ˵nֵ0.618
ѿתǶȴԼ360 0.618  222.5 137.5㡣

    ǰᵽҶΪ1/2, 1/3, 2/5, 3/8, 5/138/21ʾÿ
жƬҶӣҪǻnʾÿƬҶƶܣֻ1
ȥҶΪ1/2, 2/3, 3/5, 5/8, 8/13, 13/21쳲
ֵǲ̶ͬȵرƽ1/ա£ֲѿ
ռоܶĿռ䡣Ҷ˵ζžܶػȡйã
нӾܶˮȸԻ˵ζžܵչʾԼ
ۣ˵ζžܼһУֲ
ֳǴкôġɼֲ֮ƫ쳲Ȼѡ
½Ľء

2004.8.14.

ءѧ硷20049¿

(XYS20040903)

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мĻ

Ϸĩ2004-09-02

פߡ

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ҲƶҵŲɣԹ˾ҵĽܣԼڴ
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Ͷʼš



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ŦԼŦԼ104024¥ʱ10018

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(1) 1040 Avenue of the Americas ʱȷʵ NY 10018
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ǣ㲦绰ͻᱻ֪24¥ûʲôAmerican 
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ũ

ѧԵġ"Ů"¼˼һģ
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6һ磬it.sohu.comתתӴٲҲ
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ʿԾ


泿2004-8-1

ʿй½ʮĹ⾰Ѿ˴⡣ǰ
격ʿģѧŻڣֽѾʼ
۲ʿҵˡ

ʿ࣬Ϊʿࡣ꣬ظߵԺУΪ販ʿƴ
ʮ֡ǰЩ꣬һЩطԺУʿڽڣѧ
׷ʿñһЩԱϰ壬ԸѧŨȤҲ
˽øַʽʿѧλʿǰ֮죬ʿÿ
ϣڱ廪ʿѾѧٶȣ
ʿҲҪ˵йоʮ
һٶ·ҿǰˮֺܴǰЩʱƽһ
̳ϺѧؼϯԣԲʿԾɣһƬ
ĿҲͬС

ʮǰʿʦĺй½ǺܸߵġһЩһѧߣ
벩ʿ㡣ݴѧǮֻ˶ʿ㡣Ǯѧ
Ա˵Ǯָֻ˶ʿǶûʸָʿ
ǮӦΪڣּѻѾٳˡ

ʮҵĵһʿѧǰأûбҵѧȵ
λѾõͬеĹϡ籱ʦʣĸۡǽϸ
ʹǺģѧķչҲкôġ˶ʮ;
ʮʿͲʿĺ㿪ʼ½һĲˣȥˣ
ĲʿȨתƵ˱Уϵҵһһĵ
ʦҲǹڹϵңʿ㻹ʵǸ࿴Ĳʤ
Ƕ˥ʿԽԽ࣬Ȼʮ
ǰڲͬն㵼ʦ˹Դ»Ҳ޿κΡһЩ
ƴѧĲʿ˶ʿԴ籾Ŀ̾鷳ǹԱҲ
˲ʿ˶ʿͷεĺôǷ׷׼ְʿ˶ʿѧ
ͨͲǹƽУϿΣЩʡ쵼ɲõ
ʦɻר̵ĹٸڣйԱıҵ׽ʡڣ
йʿѧˮƽʮǰڵ˶ʿܲܳʱ
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ĲʿҲϹҿһҲ֡ȷѧһ
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Լֶ࣬òʱָѧ־棬ԼҲŤת
ΪѧУôϲùȿԸ۵ءҿʿȣҲӦ
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ϧǣֲʿ»ʿ͵ʵûеõ
ӡǻ˵йоƫ١طԺУԲʿäĿ
׷ѡһЩѧʦʷǲʿţһЩѧҪʮڵ
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Ϊ˽ʿ㣬ǷѾĻϺѰѧԱ飬
ϵ˵Ϊһʿ㣬ͶＸԪ
ʿѲݱΪѰơ 

(XYS20040903)

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ѧͺѧ
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ֵúܡ㳴ˣϰȻǾǲ۱Ź׬ǮĻġ
̶ıŰĴ󺺼ɷɵ顣Щ鶼ڻרҵĴ
졣ıһ˵ΪһĴ󺺼ԩ
ΪЩϡʹİߡȵȹڡ˳Ľһ
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ձϢ91գչ5000ߵġ48شŻ
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ڷȨѴ

Ļܱܺ
 
ͬһȺɰ˼ҳŸͬ汾Ҷδԭ
ȨȨ汾һһ޹˾򱾱͸¶һϢ
ΪȨȫļְȨߣù˾˼ҳͣ
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How I Raised Myself from Failure to Success in Sellingһļ
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ڻ֮ΪйΪĵ
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Աĳɹؾǡй磩ʧܵɹ
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(XYS20040903)

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ˮ񡪡֮

Ӱ֮áĿ

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