ޥ
ȡ525äȤŪˡ褿ǤȤ櫓ǡꥸʥäƤȤˤʤޤΤǡߥ䴪㤤԰¤Ǥ...
PowerBook 127ڡ 0:09:12 MAIL:masaru-y@sansu.org HomePage:28808
ޤ륱
¦̤¤ڤäŸ顢3:4:5ľѻѷФƤơ
ľѻѷȡʣ⤵ˤȤʬƷ׻ޤ
ʤߤˡãĤǤƱʤΤǡפȻפޤ
127ڡ 0:20:28 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱28809
ߤ
¦̤Ÿޤ֣ľѻѷᣲפȡ־죶죸⤵᣷פʬ䤹ФǤ͡

Σľѻѷ򸫤ĤǤ٥ΤȻפޤ

ĤȽ񤤤ƤƵŤΤǤ̤Σ£š᣶ȤΤϢǵƤޤ
äơֻפǤ⤢Ǥä

Ţ̤Σ£š˽ʣ

127ڡ 0:54:56 28810

ȻפޤȤǡѥޥ󤵤ϺⲬޤǤ
127ڡ 0:26:28 28811
ʸ
ä
̤Ǥ^^v

ˡ

ޤŸޤ
http://kyorofumi-sansu.hp.infoseek.co.jp/sancha31.bmp
ģŤ˲­ѡţ¡˲­ФȤޤ
ѤȣУŤθҤȤޤ
£=8cm==5cmꡢ:ţ:У=5:4:3Ǥ뤳Ȥʬޤ
ˡܣУѤϣģ¡ȾʬγѤʤΤǡ45٤ȤȤʬޤ
äƻѷңФϣ=У=4cmľջѷȤʤޤ
ޤܣңѣ=90٢ܣѣң=45٤ꡢѷѣңŤϣң=1cmľջѷȤʤޤ
äƻͳѷѣţФ
4*4/2-1*1/2/2=7.75
Ȥʤޤ
ѤϻͳѷѣţФ4ܤʤΤ
7.75*4=31
Ȥʤޤ
127ڡ 0:37:11 MAIL:kyorofumi@msn.com HomePage:ʸ28812
ޥ
դߥϤʤʤΤǰ¿Ǥꡢʥ󤬤äơ

Τ
AB=AC=AD=AE=5cmBC=6cmͿΡʥҥϤʤ
ƱͤΥҥ⤬8cmȡBC=4cmͿ

Ƥޤʣܤ㤤ޤˤǡͤơäˡλȤ䤹˺ΤǤ...֤ΤϤɤǤͤ䳧

ȡʸˡֲפȤäƤޤ󡣼¤ϡüԤΤˡֲϸŤ餤ʥǥץ쥤ˤäƤϡ򿧤ȥȥ饹ȤؤɸʤȤΤȤǤˤΤǻȤʤߤǤ쿧פȤոäơȤꤢȤʤ褦ˤƤߤΤǤӤƤǤ礦
ոǤйǤʤ̵ֿפϼŪΤޤ󤬡äȥѥäȸ䤫˷礱ΤǡпϻȤʤȻפäƤꤷޤ
PowerBook 127ڡ 0:37:12 MAIL:masaru-y@sansu.org HomePage:28813
⡼ޥ
ʤȤ(^^;
Ǥ⡢⤷äǤ
6*8/2+(6+8)*1/2=31

#28813
Υѥ󤬰֤ͤ褦˻פΤǡ󤸤ʤΤʤäƤ錄ϻפޤ(^^;
ϡ;굤ˤʤʤäǤɡ
ƳФȡĤ̤ˤäꡩ(^^;
127ڡ 3:02:30 28814
orz
ϴñǤ
λѷƻѷĺ˽ޤ褦Ÿ
ѷţ¤Σ¤ƤѹơĤȣ£ŤθǤȤ
ޤѣǣ¡ѣƣšäƻѷ£ѷţ£
äƳѣƣţ¡᣹١äƣƣš᣶
ѷƣţ¡᣶ߣߣ/ᣲäƻѷţơᣱ
ѷǣ£ϣУУľѻѷʤΤǣǡᣱ/
ѷǣšỰѷţ£ơݻѷţơݻѷ£ǡᣲݣݣ/ᣲ/
äƣŤĤ˿򤪤⤵ϣ/
äƻѷģš᣷/
Τ(ѷţơܻѷģ)ߣʤΤ
ʣܣ/ˡߣᣳ
127ڡ 3:10:39 28818
orz
#28818 ¤ϥߤǥ祭祭ڤäŸޤ
127ڡ 7:15:00 28819
ݤ
#28812
ǤȤ
äѤ餤ŷ񡡡 127ڡ 7:51:09 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ28820
ϥ饮㡼ƥ
Ϥ褦ޤѴؿǤ
127ڡ 8:05:16 HomePage:湩ؤĩ28821
orz
#28813
ҥ⤬£áᣴξϣʡ
äΤۤऺä
127ڡ 9:17:56 28822
orz
#28822
ढۤΤҤȤĤ¤ݣ売
⤦ҤȤĤ¤売ݣ
ǹףǤʾ塢­Ǥorz
127ڡ 9:30:18 28823
ޤ륱
ܤΥϡ񤯤ȤʴǤ

̣£ãģŤĹ£áᣴλͳѤ£ãģŤޤޤܣ£áܢܣãġ᣹ȤʤäƤޤ

ޡ夦̤̤äĺŤޤǡҥԤĥäȤҤĹcmȤʤޤ
ΤȤλͳѤ¦̡ջѷʬˤѤƤ

錄ϡʸβαѤDz򤤤Ƥߤޤ

¦̤¤ڤäŸѷ£ãģţ¡ǤȤޤ

ţ¡Ǥ˿Ƥ򲼤ȡơ£šᣴǤ
ޤģŤ˿Ǥ򲼤ޤ
ǡƣŤȣǤĹȤȤȡʤդ餭ʸβ
ѷƣȤդĹľջѷ
ѷţǣȤƱľջѷ
ȤȤǡͳѷǣţƤѤϡ
ߣࣲݣߣࣲ᣸ݣ᣶
줬ʬǣߣᣲ
127ڡ 11:45:06 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱28824
uchinyan
(ǽβˡϢȤʤ褦˽ޤޤϢȤä̲ɲäޤ
θ塢㴳­򤷤ޤ)
ϤˤϡƺǤޥ뤵餷Ǥ (^^;

μ֤ǤAB ڤ곫ŸޤͤޤB ڤ곫⤦ B' Ȥޤ
λͳѤо BAC + CAD = 90 ꡢBAB' = 180 Ǥ
ҤϡŸ޾Ǥϡľ BE = 8cm ˤʤޤΤȤ¦ΤϡBCDE BEB' ʬ䤵ޤ
ƤϤꡢ޷о顢BE//CD ǡBCDE CB = DE Ǥ
ơA CD ˿򲼤­ HBE Ȥθ M ȤޤABE ջѷʤΤ BM = EM = 4cmAMBE Ǥ
ȡAMBCHA ˤơAB = CAAMB = CHA = 90 ǡ
DAM = DAH = CAH = 1/2 * (180 - ACD - ADC) = 1/2 * (180 - 2 * ACD) = 90 - ACD ꡢ
BAM = BAD - DAM = BAC + CAD - DAM = 90 - DAM = 90 - (90 - ACD) = ACD
ʤΤǡAMB CHA ǤǡAH = BM = 4cm Ǥ
ޤAMB ϡBM = 4cmAB = 5cmAMB = 90 ʤΤǡ345 ľѻѷǡAM = 3cm ǡ
CH = DH = AM = 3cmCD = 6cmMH = AH - AM = 4 - 3 = 1cm ˤʤޤ
ǡBEB' ˤơ
BMBE = 12 = BABB' BMBA = BEBB'ABM = B'BE ʤΤǡBMA BEB'
AM//B'EBEB' = BMA = 90١B'E = 2 * AM = 6cm Ǥ
ǸϡB'E = CD = 6cm ȤƤ⤤Ǥ͡
ʾꡢ

= BCDE + BEB' = 1/2 * (CD + BE) * MH + 1/2 * BE * B'E
= 1/2 * (6 + 8) * 1 + 1/2 * 8 * 6 = 7 + 24
= 31 cm^2
ˤʤޤ

(ɲá̲)
ϢȤä̲Ǥ
ҤϡŸ޾Ǥϡľ BE = 8cm ˤʤޤΤȤ¦ΤϡBCDE BEB' ʬ䤵ޤ
䤽ƤϤꡢ޷о顢BE//CD ǡBCDE CB = DE Ǥ
ޤǤƱǡθ塢BEB' ܤơB EB' ˿򲼤­ K Ȥޤ
ȡAEB' ջѷʤΤǡB'K = KE ǤޤB'A = AB Ǥ
ǡϢˤäơAK//BEB'EB = B'KA = 90١AK = 4cm ˤʤޤ
ȡAKB' 345 ľѻѷǡB'K = 3cmB'E = 2 * BK = 6cm ˤʤޤ
ˡA CD ˿򲼤­ HBE Ȥθ M ȤޤABE ջѷʤΤ BM = EM = 4cmAMBE Ǥ
ǡAMB ϡBM = 4cmAB = 5cmAMB = 90 ʤΤǡ345 ľѻѷǡAM = 3cm
ˤʤޤ
ꡢCD = EB' = 6cmAH = AK = 4cmMH = AH - AM = 4 - 3 = 1cm ˤʤޤ
ʾꡢ

= BCDE + BEB' = 1/2 * (CD + BE) * MH + 1/2 * BE * B'E
= 1/2 * (6 + 8) * 1 + 1/2 * 8 * 6 = 7 + 24
= 31 cm^2
ˤʤޤ
(ɲý)
ͥνȡ 128ʶ 8:51:57 MAIL:uchi@sco.bekkoame.ne.jp 28825
uchinyan
ǼĤɤߤޤ

#28808
ϤꡢꥸʥʤΤǤ ^^

#28809, #28810, #28814
ܺ٤ʬޤ󤬡Ūˤϡ#28825ƱͤȻפޤ
#28810
ĤȽ񤤤ƤƵŤΤǤ̤Σ£š᣶ȤΤϢǵƤޤ
䤳äơֻפǤ⤢Ǥä
󤸤ʤǤΤ褦˻ȤäƤ褦ʵޤ

#28812
󡣸λͳѤBCDEĹʤΤǡ¦̤ŸޤϴְäƤ褦ʡ
Ǥ⡢ϡ٤ߥϤ褦Ǥ§褦Ǥ
򤤹ͤǤ͡
̤Ǥ^^v
ǤȤޤ ^^/

#28813
䡦Τ
䡦AB=AC=AD=AE=5cmBC=6cmͿΡʥҥϤʤ
ϡɤϡ٤Ʊ褦ʤΤǤ礦

䡦ƱͤΥҥ⤬8cmȡBC=4cmͿ
ϡ㤦褦ǤAB = AC = AD = AE ʤȡ򤱤ʤ褦ʵ⤷ޤ
β꤬СʸβˡޤͤƤǤޤ
#28825εȤޤAH = 4cm ޤǤϡƱͤ˵Ǥޤ
ǡA BC ˿򲼤­ I ȤAI I ˡDC C ˤ줾ĹƤθ P Ȥޤ
餫ˡ = 4 * AICH = 4 * (HAP - IPC) Ǥ
ơHAP = HAC + CAP = 1/2 * DAC + 1/2 * CAB = 1/2 * (DAC + CAB) = 1/2 * BAD = 1/2 * 90 = 45
ʤΤǡHAP ľջѷǤǡIPC = HPA = HAP = 45 ǡIPC ľջѷǤ
HA = HP = 4cmIP = IC = 1/2 * BC = 1/2 * 4 = 2cm ʤΤǡ
HAP = 1/2 * HA * HP = 1/2 * 4 * 4 = 8
IPC = 1/2 * IC * IP = 1/2 * 2 * 2 = 2
= 4 * (HAP - IPC) = 4 * (8 - 2) = 4 * 6 = 24 cm^2
ˤʤޤ
٤Ʊ褦ʤΤʡ

˴ؤƤϡǤޤ (^^;

#28818
ʤۤɡ򤤤Ǥ͡ϢȤäƤʤ

#28822, #28823, #28824
#28813
䡦ƱͤΥҥ⤬8cmȡBC=4cmͿ
βƱǤ͡褫ä
ͥνȡ 127ڡ 13:52:27 MAIL:uchi@sco.bekkoame.ne.jp 28826

FORM ޤ󤫡ɤ⥢åפʤ褦
127ڡ 16:37:58 28827
ȤޤԤ
22¡Ȥơ
դ򻰳Ѵؿɽ

2+2¡90
cos(2+)3/5
sin(2+)4/5

ξβ

25(sin2+sin2)

ͤʤ

Ȥ˽񤭴롣

ȤϡŬ˷׻ơ31

ߤΤʤȤǤ
127ڡ 16:41:37 28828
ޥ
#28827
ߥޥ󡢺եץ򾯤äȤˡߥ򤷤Ƥޤޤäȯбޤ

դAM 1:20ʬʹߤFORM礷ǡCookieϿפ˥åޡäƤʤˤĤƤϡᥤɽǺܤȤ˹ԤƤޤ󡣡λΥå̤ϽФƤޤѿʤΤǤʬˤĤƤϥǡĤäƤʤΤǡ٤β򤪴ꤤ뤷ʤΤǤ

Ǥ򤪤ˤϿͤӿ夲ޤѿޤǤ
PowerBook 127ڡ 20:40:03 MAIL:masaru-y@sansu.org HomePage:28829
ʸ
ѤޤϤϤ
127ڡ 23:08:21 28830
ʤ
٤ʤޤ
ΩΤ̡оΤʤΤǡŸȤоμˤϤߤƤߤޤ
http://www3.sansu.org/tables/san1207_31.gif

#28830 ݤΤäȤϡˤ⤦Ĥ
ǤϤʤǤ礦
̹񡡡 128ʶ 19:10:33 MAIL:naka@sansu.org HomePage:naka's Home Page28831
orz
#28831
ȴñѤǤޤ͡orz
128ʶ 19:42:18 28832
⡼ޥ
ɤʤƲ Orz

x+y+z=1992 (x,y,z) ȤǤĤ뤫
x<=y<=z Ȥ롣

> ʣȤ߹碌3Ф줿򾮤¤٤Ф褤

> 1991C2=1981045

Ǥ褵˻פΤǤ

ȤС
x ͤ1,2,3,Ȥơ
11991/2=9951
21990/2=995-1
31989/2=9941-2



6641328/2=664-663
2*(995~664)-(1~663)=2*(1~995)-3*(1~663)=(995*996)-3*(663*664)/2=991020-660348=330672

Ȥʤꡢͤˤʤ褦ʤǤ

ǽιͤΤɤΤǤ礦

128ʶ 22:13:33 28833
uchinyan
#28831
ʤۤɡϤޤ
ͥνȡ 128ʶ 22:19:28 MAIL:uchi@sco.bekkoame.ne.jp 28834
ʤ
#28833 ⡼ޥ󤵤

> 1991C2=1981045
Ǥ x<=y<=z Ǥʤ (㤨 1900+2+90) ƤޤΤǡ
褽ʬΣ٤˹פޤ
̹񡡡 128ʶ 23:21:02 MAIL:naka@sansu.org HomePage:naka's Home Page28835
uchinyan
#28833, #28835
ΤˤǤ͡Ǥ
⡢= ⤢äꤹΤǡñ 1/6 ƤǤ
ͥνȡ 128ʶ 23:28:40 MAIL:uchi@sco.bekkoame.ne.jp 28836
⡼ޥ
#28835,#28836
ʤuchinyan 󡢤꤬Ȥޤ
199+2+90 Ȥ߹碌λϡ
x=2,y=90,z=1900 ˡ1:1 бƤޤǤ礦
դιͤ㤦ΤǤ礦
128ʶ 23:54:11 28837
ʤ
(2,90,1900),(2,1900,90),(90,2,1900),(90,1900,2),(1900,2,90),(1900,90,2)
(2,90,1900) бޤ
ԤȤȿԤȤȿƤޤ顢Ȥοϰפʤ櫓Ǥ
̹񡡡 129ڡ 0:06:22 MAIL:naka@sansu.org HomePage:naka's Home Page28838
⡼ޥ
#28838
ʤء
ȤˤʤǤ͡
⤦쳬ٶľޤ꤬ȤޤOrz
129ڡ 8:46:15 28839
jerkwater
Ѵؿʳǵʤ䡦orz
129ڡ 18:31:54 28840
uchinyan
#28839⡼ޥ󤵤ءͤޤǤˡ
x + y + z = 1992, 1 <= x <= y <= zˤĤơ
x = y = z β 1 ̤ꡣ
x = y < z β 663 ̤ꡣ
x < y = z β 331 ̤ꡣ
x < y < z βϡ
x + y + z = 1989, 0 <= x, y, z βˤơ
x = y = z β 1 ̤
x = y or y = z or x = z β 994 * 3 ̤
ꡢΤʤʳβ 1/6 ʤΤǡ
((1989+2)C2 - 994 * 3 - 1) * 1/6
= (1991C2 - 994 * 3 - 1) * 1/6
= (1991 * 1990 * 1/2 - 994 * 3 - 1) * 1/6
= (1981045 - 2983) * 1/6
= 1978062 * 1/6
= 329677 ̤ꡣ
äơǽβθĿϡ
1 + 663 + 331 + 329677 = 330672 ̤
ˤʤޤ
ͥνȡ 1210 0:07:18 MAIL:uchi@sco.bekkoame.ne.jp 28841
⡼ޥ
#28841
uchinyanء
ܤ򤢤꤬ȤޤOrz
x<y<z ξǤñˤϤʤΤʤǤ͡(^^;
1210 17:37:55 28842
粬ҹ
פ֤ޤʡ˺Ϥ虜Ǥ
BADȡCADʣݦȡˤȤ
ABEˤĤơ;ꡡcosʣܦȡˡݣcosȡ᣷sinȡᣲ
ʢABCܢACDˡߣʣߣsinȡܣߣsinʣݦȡˡˡߣᣳäƣ
󡢤ϤꥫʡǻŪʲˡν񤭹ߤ򻲹ͤˤĺޤ
1210 19:35:52 MAIL:toshi009@land.hokuriku.ne.jp 28843

̼ĩ蘆ƣDz򤭤ޤޤΤǤ(^^
ľѻѷ棵Ȥäƴĥޤ
1212ʲС 16:38:12 28844
ޥ
ޤ󡢤ޤ٤ߤˤʤäƤޤޤ...

Ȥſäȡ˥եȥˤλɤȤ򿩤٤ΤǤɤ餽줬ǥΥ륹˴Ƥޤä褦ǤտīˤƶʢˡǡΡäơϤäȤ夤ƤޤǤ⣲ʬˣ󤯤餤ϥȥ˶Ǥ֤ǤǤʤȤʥϡ˼ȤԤޤȤƤ⤸ʤɡǼΤǤ륯ƥǤ֤ˤϤʤȽǤơ٤ߤƤȤˤޤm(__)m
PowerBook 1213ʿ 20:56:19 MAIL:masaru-y@sansu.org HomePage:28845
㡼ߡ
Х˺ǯǥե򿩤٤ΤǤפä褦Ǥˡ
𡡡 1213ʿ 21:03:10 MAIL:ojamaru@amber.plala.or.jp 28846
Ѥ
Υ륹ȤѤǤ͡ˡ
Ĥޤդ޸ 1213ʿ 22:01:10 HomePage:ѤΥۡڡ28847
tomh

ԡ 1213ʿ 23:10:23 MAIL:tomh@yahoo.co.jp HomePage:H to M28848
ޤ륱
ޥ뤵פǤˡ
ϤäƤ褦Ǥ͡Υ
ͤĴƤꤷɤ褦ޤ󤬡Ȥϡޤ˼餤Ǥ礦
컲äΤۤγ⡢ΤˤϤĤ

ʤ󤸤㡢뤫
1213ʿ 23:44:28 MAIL:take4310@mobile.email.ne.jp HomePage:ޤ륱28849
kasama
ϤǤǤˡ
²λ 1213ʿ 23:49:17 28850
Melvy
ˡ(⿲ޤġ)
1213ʿ 23:52:16 HomePage:رMelvy28851
ʸ
ˤƤޥ뤵
1214ڡ 0:01:26 28852
ڼ
ˡ
ⵤĤޤ
͡ 1214ڡ 0:03:17 MAIL:iida@ae.keio.ac.jp 28853

ޥ뤵󡢤ˤʤäƲѥޥ󤵤ߴˤǰǤ͡
1214ڡ 0:03:31 28854
ݤ
ѤǼ͡
ɤˡ
ߤʤⵤĤޤ礦͡
椬Ȥϼˤޤ᤯ޤ㤵ʡ
Ǥϡޤ褦
äѤ餤ŷ񡡡 1214ڡ 0:03:34 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ28855
⡼ޥ
ʤǤ
Υɤ꤫ǤʤȤϻפޤ̤ϡæդƤ3̤Ǥ褯ʤϤǤ
ˡOrz

ʤߤˡ錄ϡǯΩˤʤä㤤ޤơ1Ƥޤ(^^; ˤʤ1Ϥʤ뤽Ǥ
IJˤϤޤʤäƤʤ(^^)
1214ڡ 0:11:05 28856

ޥ
ѤǤ͡
ˤʤäƤ
1214ڡ 0:11:52 HomePage:28857
ʸ
no28831ʤ󡢽񤭹ߵŤޤǤߤޤ
ǤοޤǤϤϤ
1214ڡ 0:30:28 28858
ͧοʺ
ͤƱΥޥ뤵
ѤǤ͡ᤤ򤪵פޤ
ȤäƤΡֵٹ֡פΤ褦ʤΤǡʤηä򤷤ܤʤƤ
Ǥֽäפ褦ʵΤǤܤǤͤ
Į 1214ڡ 0:31:00 MAIL:tanioka-s@ams.odn.ne.jp 28859
ma-mu-ta
ޥ
ɤȤǤ͡ɤˤʤäƤ
1214ڡ 0:42:03 28860
ߤ
ޥ뤵
̵ʤ餺ˤ٤ߤƤˡ

β²ǯΤ褦ˤʤˤ٤ˤäƤޤ
ϺǯϤޤǤĤͤС

#28859
عεٹ֤Ϥ줷äɡΤ٤ߤϤӤǤ͡
1214ڡ 1:08:42 28861
uchinyan
䤪䡢ޥ뤵Ѥ
Υ륹ήԤäƤ褦Ǥ͡
󡢤ʤ긷ͻҤǡɤ
ͥνȡ 1214ڡ 8:42:21 MAIL:uchi@sco.bekkoame.ne.jp 28863

ΤˤʤäƤm(_ _)mʤΤ򤳤ޤˤƤޤ
1214ڡ 20:02:19 28864
ޥ
ۤ򤪤ƥߥޥ

ܤˤʤäơ֥饯ˤʤäƤޤȤϤۤɵסˤȤʤȤäƤ⡢ɤǤ...ˤȤäʢ˷ˤȯơʬ餤ѤǤ(^^;ޤˤϼ뤫ʡȻפäƤޤ

ʤߤ˥Υ륹ꤷƤޤԤˡְִ㤤ʤפȤޤǤĤޤɾȯΣοʤΤǤ..ΣοȤΤ

롡ȤǵЧ
롡ȤЧ
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