빽⤷äǤ
ջѷȣФƤޤ
ܿĻԡ 521ڡ 0:05:57 MAIL:ݣ塥 HomePage:34474
SUPER SPECIAL SEMTEX
פ֤˥ꥢ륿Ǥ
ȤäƤ٤ޤ
ʤʤ򤫤äǤ
ʥΤ 521ڡ 0:08:24 34475
Ѥ
AMPCҤˤʤǤ͡
ƤҤгľѤȤʤȤ˺Ƥޤ
֡ 521ڡ 0:08:57 HomePage:֥34476
Taro
١ʿԡƱͥ饦ʤɤ㤴Ȥ
MN=NP=5,QA=8ޤȤ345ڤDz褷ޤ
ԤΤϤ졡 521ڡ 0:11:10 34477
BossF
Taroˤʤ
root of isle 521ڡ 0:16:46 MAIL:fv2f-ftk@asahi-net.or.jp HomePage:fv2f-ftk@asahi-net.or.jp34478
ԡʥå¿
ͣѤ֤ޤǤ˻֤᤮ޤ
ϤܤڤǤ͡ޤޤԤ­ޤʸӤǤ
521ڡ 0:18:55 34480

եबŤ񵷤Ƥޤ
줿Τ򤷤褦Ǥ
ͳѷͣУäҤˤʤäΤǡȤϣ
ǽФޤ
ޡ 521ڡ 0:22:58 34481
ԡʥå¿
ͣѤ֤ޤǤ˻֤᤮ޤ
ϤܤڤǤ͡ޤޤԤ­ޤʸӤǤ
521ڡ 0:24:16 34482
Mr.ǥ
PQN梤AQC 1:2ˤ СAQ+PQ12
äơMAPϻդĹ10,10,12ջѷȤʤ
MAP(1/2)*12*848(cm^2)
衡PQNᢤMAP(5/10)(4/12)8(cm^2)

ˡڤϤʴǤ
521ڡ 0:30:49 34484
Ϥŷ
0:12
Ϣ˵ŤΤ6ʬ
ФΤ0:23 orz
ƥСǤƲ1ʬ
12ʬ(T_T)
------------------------
Ѥʬ
BQ:QC=20:10=2:1
N椨BN*NQ*QC=3:1:2
Ϣ
MN//ACäNP//AC
NQ*QC=1:2
NP=10*1/2=5
AQ=4*2/1=8
MAQ˿MIҤ
AI=(4+8)/2=6
AMI3:4:5
ޤQAC˿QI'Ҥ
MAI=QACʤΤ
QI'=8*4/5=32/5
QNP˿QI''Ҥ
QI''=32/5*1/2=16/5
äƵΰ5*16/5*1/2=8 //

ȤʤȤ䤳ʲˡǤ
޿ե륨󥶤αƶǵפ֤˻äǤޤ
Τˤαղ

ܣӻԡ 521ڡ 12:19:18 34485
Ȥ

ϻǤǤޤ

MC֤ȳѤʬAM=ACȤ
ͳѷAMPCϤҤ6,8,10Ĺľѻѷ4ĤǤǤƤ
ޤPCBAʿԤPC=BM=10ʤΤPN=MP/2
ޤQP(=4)62/3ܤʤΤ
6,8,10Ĺľѻѷ(=6*8/2=24)(2/3)*(1/2)=1/3
24/3=8()
˭ԡ 521ڡ 0:42:46 MAIL:fttnm528@ybb.ne.jp 34486
ߡ
äѤǽ٤
轵Фޤ
521ڡ 0:53:21 MAIL:amimorisama@hotmail.com 34487

äͤ뤿ʤΤǻ֤ʤ꤫äƤޤ
äѤߤ®ʤ

ϢNMACʿԤǡNM5ѤǤ롣
ѴطꡢMPAMAPΩĤΤǡPM10ѤǤ롣
APMCθRȤȡջѷꡢRΤޤγѤ90٤Ǥ롣
äơPC=10ѤȤʤꡢͳѷAMPCɩǤ뤳Ȥ狼롣
ʿԤδط顢QA8ѡQR2ѡMR8(ԥ饹)狼롣
äơPNQѤ
(6812)510468(ѡ2)Ȥʤ롣
521ڡ 0:54:45 34488
⡼ޥ
äȵդ...^^;
ſˤʤäƤ
Ȥϡ5:4:3 Фơ
4*(3/2)=6
10:6:8
(6*8/2)*(1/2)*(2/3)=8
521ڡ 1:10:41 34489
Ф
Ǥ
521ڡ 1:17:39 34490
ߤ
֤ɤʤΤƱǤ礦

ãФ
ͣΡΣСᣵϢ
ãФȢͣΣФϹƱդ礦ѡ
ͳѷͣУäϤҤʣդƣ
ҤгФȣͣäϸʣҤ֤ˤǸߤˣʬľԤ
УѣΤȢѣä棱ʻ
Уѡᣴѡ᣸Фϣܣᣱ
ҡ᣶ңѡᣲ
УңͤϣľѻѷʼգУ͡ᣱУҡ᣶ѣҤ١
ͣҡ᣸
УѣΡʣߣˡߡУʣܣˡѡߡУʣܣˡѡ᣸

ϤᤤǤƤɡʤʤο
Ƥʤơġ轵ȤϤäƤäơ޷Ǥ⤱ä
񤷤Τ褦ʵޤ
521ڡ 1:18:30 34491

ŷϢMPACʿԤʤΤ
AQC梤PQN
ޤMAPCAQMPAʤΤ
MAPջѷ
MAMP10cmMN5cm
NP5cm
äƢAQCȢPQN2:1ʤΤ
AQ8cmAP12cm
MAP3:4:5ľѻѷȤ߹蘆ƤǤƤΤ
MAPѤ(1/2)*12*848cm^2
äƢPQNѤ48*(5/10)*(4/12)8cm^2
Ȥʤޤ

521ڡ 2:12:20 34492
abcba@jugglermoka
ǡAC=AM=k(n^(2)+1)/2,AB=2AC,PQ=2kn/3ΤȤѷPQNѤ(n+1)n(n-1)k^(2)/12ˤʤ롣
521ڡ 9:17:48 34493
uchinyan
Ϥˤϡ
ե륨󥶤δäƤޤä˿͡γ󡤤βפǤ礦
ν϶Ǥ⡤뿷ͤδԤǧʤɤơβҤǤ⡤ޥѤФ褦ˤʤäƤޤ
᤯©˸äߤΤǤ

꤬Ĺʤޤơϡ
פ֤ʿ̴餷򤤤褦ʵޤ륹äȲ򤱤Ǥ
٤ХꥨϤꤽǤʴǡ

BM = AMBN = CN ʤΤǡMN//ACMN = AC/2 = 10/2 = 5 cm Ǥ
ǡMP//AC ʤΤǡMPA = CAP = MAP ꡤMPA ջѷǡ
MP = MA = AC = 10 cmPN = MP - MN = 10 - 5 = 5 cm Ǥ
ޤMP//AC PQN AQC ʤΤǡPQAQ = PNAC4AQ = 510AQ = 8 cmAP = AQ + PQ = 8 + 4 = 12 cm Ǥ
ǡMN AP ˿򲼤줾­ HI Ȥޤ
ȡMPA ջѷäΤǡPH = AP/2 = 12/2 = 6 cm Ǥ
ǡMPH 345 ľѻѷǡPHMHMP = 3456MH10 = 345MH = 8 cm Ǥ
ˡMH//NI NPI MPH ʤΤǡNIMH = PNPMNI8 = 510NI = 4 cm Ȥʤꡤ
PQN = PQ * NI * 1/2 = 4 * 4 * 1/2 = 8 cm^2 ˤʤޤ

˻פĤХꥨȤƤϡ
M Q ֤ʤɤ MPA ǵ롣
QAC AC Ф⤵Ʒ׻롣
AMPC ҤȤʤ뤳ȤѤ롣
ʤɤ⤢ޤ͡
ͥνȡ 521ڡ 12:01:46 MAIL:uchi@sco.bekkoame.ne.jp 34494
(Keigei)
AB>AC ΤȤAB=b, AC=c, PQ=p Ȥȡ
PQN=p{(b^2-bc+bp+cp)(b^2-bc-bp-cp)}/4b
ˤʤޤ
澭פ顡 521ڡ 13:06:21 34495

Ȥ򤱤ޤʤacmpʿԤʤΤʬ餺ʤ֤äƤޤޤ
521ڡ 13:26:26 34496
uchinyan
ǼĤɤߤޤ
ɤϻäʤΤǡʬˤʤäƤޤ󤬡

#34474
ջѷȣФƤޤ
ΤˤǤǤϾܺ٤
(θ塤#34498ˤƾܺ٤󼨤Ƥޤ#34484ʤɤƱ褦Ǥ)

#34476#34481
AMPC ҤȤʤ뤳ȤѤˡܺ٤

#34477#34478
١ʿԡƱͥ饦ʤɤ㤴Ȥ
MN=NP=5,QA=8ޤȤ345ڤDz褷ޤ
Ȥˡͥ饦ɤ˻ȤäΤʡ QA

#34480
ͣѤ
Ȥˤˡܺ٤

#34484#34492
ջѷ345 ʤɤȤä MAP ᡤ줫ʤɻȤˡ

#34485
Ѥʬ345ʤɤȤä PQN PN Ф⤵ˡ

#34486
AMPC ҤȤˡǤAB//PC ȤΤ򤯴ޤ

#34488#34491
ҤȤ褦Ǥ#34484ʤɤ˶ᤤ褦Ǥ

#34489
ſˤʤäƤ
ȡɤΤȤʡ ϡ345 Τ褦Ǥ
(θ塤#34502ǡɲäƤޤ)

#34494
βˡ#34484ʤɤȤۤƱǤPQ Ф⤵Ƥ㤤ޤ

ʤ

#34493
亣ǡAC=AM=k(n^(2)+1)/2,AB=2AC,PQ=2kn/3ΤȤѷPQNѤ(n+1)n(n-1)k^(2)/12ˤʤ롣
Τˤʤޤ

#34495
AB>AC ΤȤAB=b, AC=c, PQ=p Ȥȡ
䢤PQN=p{(b^2-bc+bp+cp)(b^2-bc-bp-cp)}/4b
⡤׻СΤˤʤޤ͡
ͥνȡ 521ڡ 18:17:23 MAIL:uchi@sco.bekkoame.ne.jp 34497

ܣ£ͣСܣ£áᢣߣ
ä
ܣͣУܣ£ͣСݢܣͣСᢣ
äơͣФϣͣͣСᣱջѷ
ϢǡͣΡáࣲᣵ
äơΣСᣵ
ãѢУΣѤ
ѡ᣸
ͤФ˿򲼤ȡǡʰʲά

äƤ꤯ɤǤ
ܿĻԡ 521ڡ 14:03:23 MAIL:ݣ塥 HomePage:34498
uchinyan
#34498
ˡξܺ٤򤢤꤬Ȥޤ#34484ʤɤƱ褦Ǥ͡
äƤ꤯ɤǤ
ʤȤϤʤȻפޤ衣󡤤ۤƱȻפޤ
ͥνȡ 521ڡ 14:12:44 MAIL:uchi@sco.bekkoame.ne.jp 34499
λȼ
äȽФƤޤDZ֤αž򤹤ȡߤƤⱿžƤͤˡɤƤޤޤʤƤʧġ

ǡ򸫤ޤ
ȤƱͤǤ
zerostar 521ڡ 14:45:25 34500

ˤϡ
345Ǥ
521ڡ 15:05:05 34501
⡼ޥ
#34489
MCP νſ Q
ʿԻշMBPC
MN=NP
M顢BP ˿ߤȡMCPQA ʤΤǡĹи(г10,2դ8,6)ΤǡȤ׻^^;
̤ɤäǤ...Orz...
521ڡ 15:39:18 34502
˥ʤ
ƤǡҤDz򤭤ޤع٤ߤǤˤǤ
521ڡ 15:45:11 34503
KU by ADDI
ǤäȤФޤ񤷤Ǥ͡
521ڡ 18:01:48 34504
uchinyan
#34502
ʤۤɡ꤬ȤޤλǤ
ͥνȡ 521ڡ 18:10:41 MAIL:uchi@sco.bekkoame.ne.jp 34505
̾
סޤ
򤤤Ǥ͡
ڥԥ󳦡 521ڡ 22:12:16 34506
MathematicaȤTai
QAC=x,AQC=y,l=BCȤ;ϢΩޤ
x = x /. Part[Solve[500 - 400 Cos[2 x] == (9 (464 - 320 Cos[x]))/4, x], 4];
y = y /. Part[Solve[100 == (64 + (Sqrt[500 - 400 Cos[2 x]])^2/9 - (2 8 Sqrt[500 - 400 Cos[2 x]]/3) Cos[y]), y], 2];
l = Sqrt[500 - 400 Cos[2 x]];
s = FullSimplify[l Sin[y]/3]

̤AC=t,PQ=kt֤ABC=S,PQN=sȤs/SkΤߤδؿȤk/4Ȥʤޤ
椬ǤȤΤ򤤤Ȼפޤ
521ڡ 22:35:58 34507
MathematicaȤTai
ʤäΰ㤤ޤk/4˺Ƥޤ
521ڡ 22:52:26 34508

#34499
ɤ⤢꤬Ȥޤ
ܿĻԡ 521ڡ 23:36:24 MAIL:ݣ塥 HomePage:34509

Фϡޤä顣
522ʶ 0:53:15 34510

ؤDz򤭤ޤ
ʤäƤʤΤǡǤ
522ʶ 0:55:55 34511

ޥåǥåʤäƤʤϿǤʤ
ܳѡ餤ʡ
ƿƤ֤ˡФ򤳤ޤTT
ϡֿ޷ǡ
522ʶ 1:36:35 34512
ϥ饮㡼ƥ
Ϥ褦ޤ
522ʶ 9:27:36 HomePage:湩ؤ˥34513

ФϣأФǤ
ϡɤ꤫ʡ
Ф餱ʤǤ
Ķļˡ 522ʶ 22:00:46 34514
Rin
פ֤ǤȤǤޤ
522ʶ 22:27:08 34515
fumio
Ϥ褦ޤ
ˤϤ礦ɤ褤ǤϤϤϡ
523ڡ 6:33:35 34516
SSS
Ϥޤơ
դĹ2aΩABCDEFGHȡĺΣA濴ȤȾaε夬ŤʤʬѤϡ4a^3/31/8=a^3/6ˤʤޤ

ǤϡդĹ2aABCDȡĺΣA濴ȤȾaε夬ŤʤʬѤϡɤΤ褦˹ͤо꤯ΤǤ礦
ĺޤ

ǤȤμݤ鳰ޤƿޤ
523ڡ 14:14:40 34517
ߤ
#34517
ΩΤȽŤʤѤϡȾ£εΣʬΣǤ͡

ΤȽŤʤѤϡȾ£εΣʬΣʡa^3/9ˤǤ礦
޷Ūˤϡ֥ȾʬڤäΡȾˤʬ褦ΩΡ
Ȥʬ䤹Ȼפޤ
524 1:12:37 34518
SSS
ĺ꤬Ȥޤ
Ⱦ£εΣʬΣǽ餳Ф줿ȤƱפޤ

Τ򣶤ϻѷˤʤ٤ȡ줾ƱΤ˷֤ǤƤޤΤǡ1/2*1/6ȤϤʤʤ褦˻פޤ
⤷֤ʤ֤褦Ȥʤ顢㤨СդĹ2a8ĤȰդĹ2aȬ4ĤȾaε1ĤͭȤˤʤȻפޤ
ȬΤȵνŤʤʬѤеջ뤳ȤΤǤ

A鲼˿ľʿ̤ˤѤǤʬߤޤߤγ¦ѷϤ߽Фʬ׻Ǻޤޤ
524 9:54:44 34519
ʤ
ߤʤ󤴻ŦΤ褦ˡ
ͳѷAMPCҤˤʤΤߥǤʿޤˤʤޤhttp://www3.sansu.org/tables/SAN05218.GIF
QPMC νſʤΤǡȤ⤢ޤ
̹񡡡 524 23:05:43 MAIL:naka@sansu.org HomePage:naka's Home Page34520

ޥåFireFoxꡣ
ҤСǤƤޤ
ޤ顢
ʤ
GIFҸޤ
Ķļˡ 525ʷ 3:51:54 34521


ʤǡŤʤOTL
Ķļˡ 525ʷ 3:53:52 34522
⡼ޥ
#34520 ʤοޤǹͤ錄Ǥ
Q ſ8x6 Ĺ 10:8:6 ^^v
525ʷ 13:03:02 34523
uchinyan
#34517
䣱դĹ2aABCDȡĺΣA濴ȤȾaε夬ŤʤʬѤϡ
ɤΤ褦˹ͤо꤯ΤǤ礦
ǤˤηǼĤǡꡤȤʬ˴ޤꡤȤޤ
ϡcos(c) = 1/3 Ȥơ V = (3c - 1)/3 * a^3 Ȼפޤ
ǡc ϡΤĤ̤Τʤ٤ˡ¬äΤǤ
ͤǤ

ʬǤǤޤʥ֤ˤȡΤˡ#34519Τ褦
A鲼˿ľʿ̤ˤѤǤʬߤޤ
ߤγ¦ѷϤ߽Фʬ׻Ǻޤޤ
ȤʤꡤѤǤ
ޤˡΤ⤷ޤ󤬡˷׻Ȥϡζ˺ɸѤ¿ʬǷ׻ޤ
Τ褦˹ͤСʬפǤ

ΩΤϡA 濴ȤʿABCʿACDʿADB ڤäΤǤ
濴̤ʿ̤ǵڤȱߤˤʤޤߤȤޤ
ǡΩΤϡB, C ̤ߡC, D ̤ߡD, B ̤ߡڤäΡȤޤ
ǡƤǤ BCCDDB ǰϤޤ줿ΰ衤 ̻ѷBCD ȤȤޤ
Ѥ S ȤСΤɽѤ 4a^2 ʤΤǡ V ϡ
V = 4a^3/3 * S/4a^2 = /3 * S/a^2 * a^3
ˤʤޤǡS ФǤ

ޤB, C ̤ߤ B, D ̤ߤˤڤɽ̤ΰѤͤޤ
B, C ̤ߤ B, D ̤ߤΤʤ٤ˡ 1 ȤȡB β 2 ʤΤǡ
Ѥϡ4a^2 * 1/2 = 2 * 1 * a^2 Ǥ
ˡC, D ̤ߤäȡɽ̤ 8 Ĥΰʬޤϵ濴˴ؤоΤʤΤǡ
C, D ̤ߤ C, B ̤ߤΤʤ٤ˡ 2D, B ̤ߤ D, C ̤ߤΤʤ٤ˡ 3 Ȥơ
2 * 1 * a^2 + 2 * 2 * a^2 + 2 * 3 * a^2 - S * 2 = 4a^2 * 1/2
ޤꡤ
S = (1 + 2 + 3 - ) * a^2
Ȥʤޤ(¤Ϥμϡ̾δؤǤ褯Τ줿Ǥ)

Ǥϡ
1 = 2 = 3 = c
c ϡΤĤ̤Τʤ٤ˡ¬äΤǡcos(c) = 1/3
Ǥǡ
S = (3c - 1)a^2
V = /3 * (3c - 1)a^2/a^2 * a^3 = (3c - 1)/3 * a^3
ˤʤޤ

ʤߤˡΩΤξϡ
1 = 2 = 3 = /2
S = a^2/2
V = a^3/6
Ǥ͡
ͥνȡ 525ʷ 15:30:25 MAIL:uchi@sco.bekkoame.ne.jp 34524
SSS
Τ褦ˡΤǤ͡
ܤڤǤ
ٶˤʤޤ
꤬Ȥޤ
525ʷ 21:10:40 34525
⡼ޥ
#34524 uchinyanβ⡦ʲΥȤߤʤäǤޤ
̲ꡧhttp://www.irf.se/~futaana/Kiruna/50_Kyumen.html


cos(c) = 1/3ϡĺ̤˲ѷνſˤʤ뤳ȤʤǤ...=60=/3 ǤʤȤԥʤ錄...^^;
⤷=/3 ΤȤʤĤޤꡢc=1/3=0.333 ʤ)ϡV=0 ˤʤä㤦
arccos(1/2)/=0.333333333
arccos(1/3)/=0.391826552ˤʤ褦Ǥ...
526ʲС 11:14:38 34526
uchinyan
#34526
ǫʲΥȤξҲ𡤤꤬Ȥޤ

cos(c) = 1/3ϡĺ̤˲ѷνſˤʤ뤳ȤʤǤ...=60=/3 ǤʤȤԥʤ錄...^^;
ȡ̤̤Τʤ٤ϡ̤θΰ餽줾˿ơοΤʤ٤¬ޤ
ξ硤㤨СABC ABD Τʤ٤Ĵ٤ФǤ
AB M ȤСABC ABD ѷǤ뤳Ȥ顤
ABCMABDM ǡCM DM Τʤ٤Ĵ٤ФǤ
ϡC ABD ˿򲼤ȡΤǤ뤳Ȥ顤­ ABD νſ G ˤʤꡤ
DM ˤä DGGM = 21DMGM = 31ޤ CM = DM ʤΤǡcos(c) = GM/CM = GM/DM = 1/3 Ȥʤޤ
󡤦/3 ǤϤޤ
ʤä顤MCD ѷˤʤä CM = CD = CA ˤʤäƤޤޤϡ餫ˤǤ
ͥνȡ 526ʲС 13:27:41 MAIL:uchi@sco.bekkoame.ne.jp 34527
ߡ
#34176
Ťޤ()
ޤŽˡʬʤΤǴ㤤⤷ޤ
()ʬȤ1/2ʬȤ1/32/3ʬȤ1/43/4ĤȹͤǤǼʬ(1/76/7)ޤǤǤ͡

㤤ޤ()
526ʲС 17:40:02 34528
⡼ޥ
#34528 ߡ ^^
⤦ä˺ƤޤäƤޤ...^^;
#34175
ܤΤҤ򡢤ҤξüϾĺˤʤ褦ˡѷ޳ѷϻѷĤȼޤꡢĺˤʤʬ֤ơפĤ롣Ǥ˥ơפĤƤˤϿ˥ơפĤ뤳ȤϤޤҤξü˥ơפϤĤʤΤȤ롣ΤȤ䤤衣
(1)ѷޤäΤ֤ơפĤȤҤ֤ơפDzĤĤƤ뤫
(2)ѷޤäȤˤĤ֤ơפϲĤ
(3)֤ơפ򣴸ĤĤ뤳ȤˤʤΤϡѷޤȤ٤衣
#34176
(1)(1)+(2)+(3)+(4)+(5)=1+1+2+2+4=10
(2) (28)=(2^2)*(7)=(2^2-2)(7-1)=12
(3) (x)=4=(5-1)=1*4=(2-1)(5-1)顢5+2=7ѷ 2*5+2=12ѷ

>㤤ޤ()

...^^;;
ɤɳξüΰΤʤ...?
⤷ʤɢ
527ʿ 0:02:51 34529
ߡ
罸ޤͤġ
527ʿ 0:30:23 MAIL:amimorisama@hotmail.com 34530
uchinyan
#34528#34529
㤤Ƥ뤫⤷ޤ󤬡ΤˡͿ줿ʸϤǤϡդޤȻפޤ
Ϥפäƥ롼Ƥޤ

#34175
䣱ܤΤҤ򡢤ҤξüϾĺˤʤ褦ˡѷ޳ѷϻѷĤȼޤꡢĺˤʤʬ֤ơפĤ롣
#34528
()ʬȤ1/2ʬȤ1/32/3ʬȤ1/43/4ĤȹͤǤǼʬ(1/76/7)ޤǤǤ͡
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ͥνȡ 527ʿ 13:00:33 MAIL:uchi@sco.bekkoame.ne.jp 34531
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#34531
...ΤȤξü򤯤äĤʤ1ʬڡơʤĤޤꡢξü1ʬΤȡ˹ͤ褦ʵ...ܤǤ...^^; Orz...
527ʿ 13:12:20 34532
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527ʿ 14:03:22 34533