Taro
450äȤϡ
򤤤Ȥ˵Ťޤ
ľ塡 512ڡ 0:06:19 25022
ޥ
ס˹˵𤷤ޤ(^^;;

ޡϵǰäƤȤ...ϤơDz򤤤ϤɤΤ餤ä
PowerBook G4 512ڡ 0:06:32 MAIL:masaru-y@sansu.org HomePage:25023
ޥ
#25022
ޥä
PowerBook G4 512ڡ 0:06:56 MAIL:masaru-y@sansu.org HomePage:25024

ͤ򤤤˵Ťޤ
ʤǡ֣פʤȻפä顣
ƤߤƢ 512ڡ 0:07:57 25025
ߤ
ԼĹΤǡҤäȤȻפäƣǧڤ
Ǥ׵᤹ǤϤȤȤǡ
512ڡ 0:09:56 25026
ȥȥ
#25022

ʼ˸лԡ 512ڡ 0:08:53 MAIL:h-sakai@zb3.so-net.ne.jp 25027
ޥ
ꡢñǤͤȤгھǤϤǤɡDz򤯤ΤϷ빽ɤȻפäΤǤ...ʥǥΤȤˤʤäϤޤ˼ʤΤǡȴƻפ¸ߤΤ˻䤬դƤʤ...(^^;;
PowerBook G4 512ڡ 0:11:08 MAIL:masaru-y@sansu.org HomePage:25028
N.Nishi
ߤ󤵤ƱǻȯǤˤ
512ڡ 0:14:06 25029
taku
ǤƤСκפǤ
512ڡ 0:17:13 MAIL:takuo@kcv.ne.jp 25031
оϩ
ADαĹ˳BFAľѤȤʤFȤ
30롢60롢90λѷľջѷΤǡ
黰ǥ˥祴˥Ȳ򤭤ޤʴ
γ 512ڡ 0:23:06 MAIL:pctakada@mail.goo.ne.jp HomePage:Ĥ줭25032
nakakun
ADαĹģء£ĤˤȤȵѤϡѷ£أģáģ£ؤѷ¤ģؤ˿򲼤٤ȤȢ٣¤ľջѷˤʤꡢѤϣѷ£أģäѤϤΣܡ
äơȤʤޤ
ܡ 512ڡ 0:25:52 25033
ҡΤ
ȤꤢȾʬ450-̵ˤʤΤǡȾʬ̵äꤹΤʤ...
ĤޤȾʬΤ褦ʤΤǤʡ
9ߤ濴 512ڡ 0:27:50 HomePage:25034
ޥ
ȤꤢߥϤʤ...ۥá
PowerBook G4 512ڡ 0:32:18 MAIL:masaru-y@sansu.org HomePage:25035
kobayashi
AEߢ壶ȤȾüʿͤäΤǴְäƤȻפ׻ޤǤ٤äƤߤȸ껦̵ʤޤ売ߣ売ߣ/ᣴǤ
512ڡ 0:33:51 25036
tomh
ĤɤꡢѴؿȤޤ (^^;

ȤȤǡ450󤪤ǤȤޡ!!
(*^^)//:*:',:*:' ѥѥ
ԡ 512ڡ 0:37:24 MAIL:tomh@yahoo.co.jp HomePage:H to M25037
̥ʡ ֥꡼
ȤƤȯǤ
ľADP,Qʲξ褦ˤȤ롣
ľA,D,P,Qν¤
DP=AE=BD=CD
PQ=AD
ѰưˤꢤBAE=BDPADC=BPQ(=BAD)ʤΤ
ͳѷAEBC=BAE+BAD+ADC=BDP+BDP+BPQ=BAQ.
٤ܤȢBAQľջѷʬꡢѤ30*30/2=450

#25022
ϵĤƤޤǤ
444ΤȤϲͤˡ֣פäƸ̺դޤ...

512ڡ 0:54:56 25038
Ҥܤ
դcmȣդͭѷ¦ˤơʤο޷ϻǤ褯ФƤΤǡ
ˤǤأ١١٤λѷ٤ȡѷ٤¤ˤʤˤʤȻפȾʬǣȤޤ
ۤȤɴǤȥۥۡ
餭ȹͤޤ
512ڡ 0:51:00 25039

http://www1.ttcn.ne.jp/~roro/toi450.GIF
¤Ĺգ¤˿ľˤʤ褦ƤȤꢤ£ƣǤ£ĤȹƱˤʤ褦ǤȤ롣
ޤ£ġģäꢤ£ĤȢģäѤ
£ƣǤ£ĤȹƱܣƣ£ǡᣱ
ܣǣ£ġ᣶
£ǣĤѷ
ǣġŤȤʤ
£ǣĤȢ£ŤѤͳѷţ£äѤ
£ƤѤ
ä
ࣲᣴ
512ڡ 0:56:22 25041
Ȥ
ĤΤ褦˲ͤ˺ɸˤ⻰ѷѤ­ʳ
expandƤxmaxima5.9.1mupad light 2.5.3450
Ȥʤ餺Ǽ׻450ȷ׻ޤ(floatǤmupadǤʤޤ)
Ǥ2źexpandȯǤ
Ϥʤ狼ޤʲʬʤβǤ
褺դοޤB(0,0),A(30,0)Ȥ
ľBC:y=(sqrt(3)-2)*x
ľAE:y=x-30
2ľθϢΩ򤤤
D(-30/(sqrt(3)-3),-30*(sqrt(3)-2)/(sqrt(3)-3))
B(0,0)ȤεΥ
BD=AE=DC=sqrt((-30/(sqrt(3)-3))^2+(-30*(sqrt(3)-2)/(sqrt(3)-3))^2)
=sqrt(600)=10*sqrt(6)
A(30,0)ȤεΥ
AD=sqrt((-30/(sqrt(3)-3)-30)^2+(-30*(sqrt(3)-2)/(sqrt(3)-3))^2)
=10*sqrt(33-19*sqrt(3))*sqrt(3)/(sqrt(2-sqrt(3))*sqrt(3-sqrt(3)))
ǢAEBѤϭդAB=30Ȥ
AEB=30*10*sqrt(6)*sqrt(2)/4=150*sqrt(3)
ޤABD=ADCѤϭդAB=30Ȥ
ABD=30*10*sqrt(33-19*sqrt(3))*sqrt(3)*sqrt(2)/(4*(sqrt(2-sqrt(3))*sqrt(3-sqrt(3))))
=75*sqrt(33-19*sqrt(3))*sqrt(3)*sqrt(2)/(sqrt(2-sqrt(3))*sqrt(3-sqrt(3)))
2ܤƭ­
AEBC=150*(sqrt(3)+sqrt(33-19*sqrt(3))*sqrt(3)*sqrt(2)/(sqrt(2-sqrt(3))*sqrt(3-sqrt(3))))
=150*(sqrt(3)*sqrt(9-5*sqrt(3))+sqrt(6)*sqrt(33-19*sqrt(3))/sqrt(9-5*sqrt(3)))
ʬҤsqrt(9+5*sqrt(3))ݤ
AEBC=150*(sqrt(3)*sqrt(6)+sqrt(6)*sqrt(33-19*sqrt(3))*sqrt(9+5*sqrt(3))/sqrt(6))
=150*(sqrt(3)+sqrt(33-19*sqrt(3))*sqrt(9+5*sqrt(3)))
=150*(sqrt(3)+sqrt(12-6*sqrt(3)))=150*(sqrt(3)+sqrt(6)*sqrt(2-sqrt(3)))
sqrt(2-sqrt(3))sqrt(4-2*sqrt(3))/sqrt(2)Ȥ2źϤ
sqrt(2-sqrt(3))=sqrt(4-2*sqrt(3))/sqrt(2)=(sqrt(3)-1)/sqrt(2)ꭥ
AEBC=150*(sqrt(3)+sqrt(6)*(sqrt(3)-1)/sqrt(2))=150*(sqrt(3)+sqrt(3)*(sqrt(3)-1))
=150*(sqrt(3)+3-sqrt(3))=150*3=450()
ФƤ餢450450ȴưޤ
ޤ˼ʬν̤45̡⤪˳ڤޤǤϡ
˭ԡ 512ڡ 2:04:38 MAIL:fttnm528@ybb.ne.jp 25042
ݤ
Ǽ򤫡
ǤȤ޼
ʧŷ񡡡 512ڡ 7:19:31 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES25043
kasama
Ϥ褦ޤ450ܤäǤ(*^_^*)ǤȤޤ
Ĥ̤ꡢCADˤ餻ޤ
512ڡ 9:26:56 25044
ϥ饮㡼ƥ
Ϥ褦ޤǤ
̶彣 512ڡ 10:55:11 HomePage:ĩ25045
ڼ
#25038#25041Ǥ͡
֤פοޤ狼䤹Ǥ
͡ 512ڡ 12:17:51 MAIL:iida@ae.keio.ac.jp 25046
uchinyan
ϤˤϡϡäȤʤǡޥǤ
AD D ˱ĹơξˡB 򲼤­ H Ȥޤ
ȡBHD = 90١BDH = 60١DBH = 30٤ǡHBA = 15 + 30 = 45٤ǤޤBD = 2 * DH Ǥ
BD = CD ꡢACD = ABDޤBD = AE ꡢABE = 1/2 * AE * BH = 2 * 1/2 * DH * BH = 2 * DBH Ǥ
ǡAEBC = ABD + ACD + ABE ꡢAEBC = 2 * (ABD + DBH) = 2 * ABH Ǥ
ȤǡABH ϡAHB = 90١HAB = HBA = 45٤ΡľջѷʤΤǡ
ABH = 1/2 * AB * (1/2 * AB) = 1/4 * AB * AB Ȥʤꡢ
AEBC = 2 * 1/4 * AB * AB = 1/2 * 30 * 30 = 450 cm^2
ϡ450Ǥ ^^; ǤȤޤ ^^/

ͥνȡ 512ڡ 14:37:31 MAIL:uchi@sco.bekkoame.ne.jp 25047
uchinyan
#25038#25041ʤɤβˡǤͤ
ɤѷϤꤽʤȤϻפäƤޤäȤ⡢βˡ⤽ȾʬȤäƤޤ
ͥνȡ 512ڡ 16:02:58 MAIL:uchi@sco.bekkoame.ne.jp 25048
uchinyan
#25021ʤȤ⡢Τޤ
30ʬۤɹͤƤߤΤʬ餺ࡥ
ͥνȡ 512ڡ 13:29:02 MAIL:uchi@sco.bekkoame.ne.jp 25049
ޥ
#25049
Ϥͭ̾ǤϤʤäƤȤǤ礦ͤ#25021

ʤߤˤäȤҥȤߤʤΤϤäΤǻǤޤ줬ʤäнʤääorz
PowerBook G4 512ڡ 18:25:08 MAIL:masaru-y@sansu.org HomePage:25050
M.Hossie
Фˤ㡣ۤä餫Ƥä˿θƤ夲ԽꡢäȻ֤ޤƵפ˲򤤤ƤޤȡΥդϲͤǤ
ϻȡΤˤʤޤƤߤУǤ͡ǰᡣ

轵ϺǯƱ϶Ե touch and go 򸫤ˡJTA ΥСեȤäƲ츩εܸޤǻޤǯϤäޤ̤轵ƤΤۤǤ
ޤΥСեǤǰäͿԤΥåȤ򲡤뤳ȤޤDr.ȡŽ٤򸫤Ƥ餺äƴƤܺüξ (͸ 1,600 ) ͭټäƽгݤޤɥޤΥɥήƤ͸ž֤˾äȴͻҤǥॢȤʤֶζؤ˾äơפäƤΤäƤߤΤιԤͣŪǤͿ visual approach ʤΤǡäȤǤݤäƤ飱ؤԵϤ˷ҤˤʤäƤޤޤƤƱָ͡Ϥ­ߤäƵäʤʤꤽʰ
ϡ 512ڡ 20:40:16 25051
סϺ
450Ȥ˴ư
οޤȤƤ狼䤹Ȼפޤ
513ʶ 10:25:55 25052
⡼ޥ
ǽ顢3Ĥľջѷ׻ľ顢ä
Ǥ⡢θ鴶㤷ޤDz򤱤Ǥ͡

ȤǡͧͤǤäͭ̾
ꡡĤ34񤬻äƹ2̾ɽĹĹˤʡʼԤβͤδ֤ǰ꤬蘆줿ɤοͤ⼫ʬιƱȼԤȤϰꤷʤäAϼʬʳ67̾˲󰮼ꤷҤͤä٤
Ȥˡ67ͤΤ٤ƤβۤʤäƤ
ơAƱȼԤϲͤοͤȰꤷ
513ʶ 22:51:23 25053
ޥ
>>25053
Τβˤ褦ʵʸϿإԥåΤäʡ
PowerBook G4 513ʶ 23:04:50 MAIL:masaru-y@sansu.org HomePage:25054

#25053
1982ǯIMOǤ衣
kͤȰꤷͤ66-kͤȰꤷͤƱɽäƤȤǤ͡
ƤߤƢ 513ʶ 23:27:34 25055
tomh
#25054
Q60Ǥ͡
ԡ 514ڡ 0:03:59 MAIL:tomh@yahoo.co.jp HomePage:H to M25056
⡼ޥ
Ϥ褦ޤ
ߤʤΤäƤäߤǤ꤬Ȥޤ
äѤͭ̾ʤǤ͡
椦פĤȤȴޤ
514ڡ 8:15:40 MAIL:kennji72001@yahoo.co.jp 25057

򤷤ޤ
514ڡ 15:18:12 25058
uchinyan
(ԴɽäΤǡޤ)
(ˡĹʬäΤǽޤ#25067򻲾ȡ)
#25021Ȥ򤱤褦ǤäȤ⡢ˡ꤬뤫⤷ޤ󤬡
ȤطʤΤǡפ
ޤĿϡ(0,0), (1/6,1/2), (1/2,1), (5/6,1/2), (1,0) 5 ĤǤ
Ǥ
ޤsin(x) = sin((1 - x)) ꡢ0 <= x <= 1/2 ˹ʤ졢sin(x) = cos((1/2 - x)) ꡢcos(x) ǹͤƤ OK Ǥ
x = m/n, m, n ϸߤǡȤȡx = * m/n = 2 * m/2n ǡ2/2n ϡ2nѷ濴Ѥˤʤޤ
ǡz = cos(x) + i * sin(x) Ȥơʣʿ̾θ濴ȤȾ 1 ṉ̃ߤܤ2nѷͤޤ
ϡz^(2n) = 1 ޤơz~ z ʣǶȤȡz + z~ = 2 * cos(x) Ǥ
äơz + z~ ͭȤʤͤޤ
z^(2n) = 1 顢z + z~ Ƴȡηϡǹ⼡ 1 ǡ٤Ȥʤޤ
z + z~ ͭȤʤˤϡͭϰϤǰʬǤɬפޤ
δط顢¤ϡϰϤDzǽʤȤɬפǤ
ΤȤȡṉ̃ߤ 0 <= x <= 1/2 ȤΤ 0 <= z + z~ <= 2 Ȥ顢z + z~ = 0, 1, 2 ޤ
줫顢cos ǡ(1/2,0), (1/3,1/2), (0,1)sin (0,0), (1/6,1/2), (1/2,1)ǡ
0 <= x <= 1 Ǥϡ(0,0), (1/6,1/2), (1/2,1), (5/6,1/2), (1,0) Ȥʤޤ
ʤ򤤤Ƥ鵤ˤʤäĴ٤ƤߤΤǤإ٥ŪμȤСưפ˲򤱤뤽Ǥ
λˤϤ褯ʬޤ󤬡äٶƤߤ褦ʡ
ȤơֳʻĺĤ褦¿ѷפȤΤ餷Ǥ
ΤޤǤϡͭ̾餷Ǥϡ¸ΤǤ

ͥνȡ 518ʿ 15:10:22 MAIL:uchi@sco.bekkoame.ne.jp 25061
uchinyan
#25053ꡢ򤤤Ǥ͡ٶˤʤޤ
ͥνȡ 514ڡ 20:32:42 MAIL:uchi@sco.bekkoame.ne.jp 25062
b4kumatyan
http://www10.plala.or.jp/kumatyan/sansu_kaito.gif

ܼŪˤϤΤƱǤ
ãŤ⣳ȤʤΤϤäƤޤʤ
515 23:08:20 25063
uchinyan
#25063
ãŤ⣳ȤʤΤϤäƤޤʤ
ѴؿdzǧޤפΤ褦Ǥ

ʤͭʤɤͤƤƽ񤭹ߤ٤ޤ褦̲ͤƤޤ
ͤޤǤˡ񤤤Ƥޤ

A DC ʿԤˡC AD ʿԤˡ줾θ F ȤC, E, F Ӥޤ
ޤAB A ˱Ĺ CE Ȥθ H Ȥޤ
DC//AF, AD//FC ꡢADCF ʿԻշˤʤꡢAF = DC, FC = AD, CFA = ADC = 60١DAF = 120٤Ǥ
EAF ˤơ
AE = CD = AFEAF = 180 - DAF = 180 - 120 = 60٤ʤΤǡEAF ѷǤ
ǡEF = AF = CD = BDAEF = EFA = 60٤Ǥ
CEF, ABD ˤơ
EF = BD, FC = AD, EFC = EFA + CFA = 60 + 60 = 120 = 180 - 60 = 180 - ADC = ADB ʤΤǡ
CEFᢤABD ǤǡCE = AB = 30 cmFEC = DBA = 15٤ˤʤޤ
HEA ˤơ
HEA = FEA - FEH = 60 - 15 = 45 = HAE ʤΤǡHEA ľջѷǡBHCE ˤʤޤ
ǡ
AEBC = BCE - ACE = 1/2 * CE * (BH - AH) = 1/2 * CE * AB = 1/2 * 30 * 30 = 450 cm^2

Ӥȡ
βˡ BD դȤѷ
b4kumatyanβˡ CD դȤѷ
βˡ AE դȤѷ
򡢤줾ѤƤޤ
ͥνȡ 516ʷ 11:50:05 MAIL:uchi@sco.bekkoame.ne.jp 25064
Toru Fukatsu
#25061 Ĥʤ顢Ф餷ͻǴɤޤƤ餤ޤŪʤΤΤȤٶƤߤΤǡԽʬΤȤ¿ޤҤ֤˽񤭹ǤߤޤήŪˤuchinyanƱǤ

X^m+a1X^m-1+a2X^m-2+-------+am-1X+am=0 (a1,a2,-----,am)
κȤʤ褦ʿŪȸƤ֤ȡ
̾ͭȸƤ֡ˤȻäƤ롣
Ū¡ѤŪ
ŪΤͭΤΤͭΤ
Z=cos(p/q)+ i*sin(p/q)ФȤСpqϸߤǤͭ
ZZ^(2q)-1=0κǤ뤫顢ŪǡZζʣǿZ~ŪäƤZZ~=2cos(p/q)ФŪǡ줬ͭȤСͭǤ뤫顢-2,-1,0,1,2Τɤ줫Ȥʤ롣

517ʲС 13:41:09 MAIL:tfuatsu@tth-japanpost.jp 25065
ʸ
񤬤äƻ!!
ӤǸƤϤɤʤä



⤦äޤ
517ʲС 14:36:38 MAIL:kyorofumi@msn.com HomePage:ʸ25066
uchinyan
#25065Toru Fukatsu#25061ؤΥ쥹꤬Ȥޤ
ɤޤĺơ#25061
άޤx = 1/n ȤʤȤm n ȸߤǤȤȡ֦μͭ<=> ֦^m μͭפޤ
䤳ϡcos(/n) ͭ<=> cos(m/n) ͭפ̣ޤ
䤳ΤȤꡢm/n ξϡ1/n 鹽뤳ȤǤ+~ = 2 * cos(/n) ξͤнʬǤ
ϡפʡȵդޤ (^^;
ξ硢+~ ˴ؤơ
䣱 Ū¡ѤŪ
䣲 ŪΤͭΤΤͭΤ
򡢦+~ ƳȤǸ̤˾ޤϡz ˴ؤƤƱͤˤǤΤǡ1/n ˸¤ɬפϤʤǤƤޤ
¤ϡǰǺǤΤǤɬפȻפǤޤäΤޤޤǤ͡
ͥνȡ 517ʲС 16:15:16 MAIL:uchi@sco.bekkoame.ne.jp 25067
ߤ
뤷ޤ
ѴؿǤ
517ʲС 22:04:38 25068
6()Ҷ˥ޥ
ä5ܤǤ
518ʿ 17:46:06 25069