tomh
48/5ʤߤǤ?
ԡ 517ڡ 0:11:25 MAIL:tomh@yahoo.co.jp HomePage:H to M29828
ʸ
Ĺơޤ֤ơդĹơ
ɡ£ä˿򲼤ơ­ȤȤ
ѷȣä345λѷˤʤޤ

꤬򤱤ʤäΤ䤷
517ڡ 0:12:48 MAIL:kyorofumi@msn.com HomePage:ʸ29829
pi-nattuhakata
2̤Ǥޤ󤫡
517ڡ 0:19:06 29830
pi-nattuhakata
2̤Ǥޤ󤫡
517ڡ 0:19:18 29831

ãαĹˣ¤򤪤ĤȤ
ѣ£Ĥϳѣ¤ʤ£áá£ġ
ʤΤǣ£ġᣴġᣲ
äƢ£á(ߣݣߣ )/᣹
517ڡ 0:19:25 29832
⡼ޥ
Ǥ^^v
ϤäѤޤǤ
Ƭˤʤޤ^^;

3cmբ3:4:5 ľѢǤ
3*4=5*h
8*h/2=8*3*4/2*5=48/5
517ڡ 0:19:36 29833
Holly
BAC˿򲼤
199
http://kurihara.sansu.org/sansu/199.html
ߤʴDz򤭤ޤ

ɥ쥹ĤåäƤΤǽޤ餷ޤ#29851
Ƥ#29845ƱȻפޤm(__)m
517ڡ 17:23:20 29835
pi-nattuhataka
㤤ǤޤǤġ
517ڡ 0:24:31 29836
ݤ
ǻʤäǰ
ޡɤǽϴְ㤨Ƥʤ
Ǥϡޤ褦
äѤ餤ŷ񡡡 517ڡ 0:27:18 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ29837
㡼ߡ
̲­ǿ޷ǹͤϤĤäƤʤäΤǻѴؿǤޤ
B=2C ΩƤޤť¤ˡġ
𡡡 517ڡ 0:39:44 MAIL:ojamaru@amber.plala.or.jp 29838
⡼ޥ
#29810,#29822
dobauchinyan󡢤ʤ󡢹ͤƲäƤ꤬Ȥޤֻ٤ʤäƤߤޤOrz

ϡuchinyanΤΤƱǤ
dobaΤΤϡԥ饹ˤʤʤäƤȤǤ͡

錄ϡʹͤǤ
3 γʻҤͤơγʻͿ줿n Ĥ3ľˤʤʤ褦ˤȤСɬѷˤʤ롣⡢ɤ2֤
(m3)^2+(p3)^2=3*(m^2+p^2) ⤷3*(m^2+p^2) ͭʤξˤˤʤȤ顢3*(m^2+p^2)=z^2 ˤʤϤ顢
z=3q ,3(m^2+p^2)=3^2*q^2,m^2+p^2=3zq^2
mod 3 Ǥϡm,p Ʊ3ܿΤϤʤΤǡm=3m',p=3p'
27(m'^2+p'^2)=3q^2,9(m'^2+p'^2)=q^2
q=3q' ʤΤǡ
m'^2+p'^2=q'^2 ΤФ褤
դˡʤʤ褦֤С2̵֤ˤʤ롣
ʻ̵ˤꡢʤʤΤϤʤդäȤø^^;
⡢3*3=3 ʤΤǡ΢3ͭܤѤˤʤϤ
ʤʤ顢3ޤĹˤ餫ɤ3ĤľѻѷͭˤΤ顣

äƤʤøʤȤͤƤޤ^^;
517ڡ 0:44:07 29839
ǥ
AB򼴤ȤƢCBAޤ֤,ACαĹȤθDȤ롣
CBDܢBCDᣲCBAܢBCD᣹١BDC=
ޤCBDᣲCBAꡡBDᣴAD
äơADa, BDᣲaȤƢBCDǻʿˤƤϤ
򤿤ƤƲ򤯤ȡa12/5
袤ABCᣴ*2*12/5)/ᣴ
ʾΤ褦˲򤭤ޤ GOODNIGHTzzzzzz
517ڡ 0:51:02 29840
tl
#29833
ʴǤ͡http://ff.sansu.org/sansu/toi549.gif
517ڡ 0:59:53 29841
Ѥ
http://www.diced.jp/~eityan/s-m/hoka/549.gif
ʴˣλѷѤƲ򤭤ޤ
֡ 517ڡ 1:00:30 HomePage:ʥڡ29842

̤οͻŪ˺⤷ޤ͡
ӥå 517ڡ 1:09:04 HomePage:θ29843
doba
#29839 ⡼ޥ󤵤
x,yɸȤˢ3ܤǤʻΤߤͤȤΤϡˤǥȻפޤ衣
γʻǤդΰۤʤ룲֤εΥɬ̵ˤʤȤȤǤΤǡ

⡼ޥ󤵤μѷϡǣ򤫤ְäƤޤäƤΤǡǤäΥǥڤƤޤä褦Ǥºݤˤϡ

3*(m^2+p^2)=z^2ꤹȡ

zϣܿm,pϣܿξդ򣹤dzäƤޤƱμz򣳤dzäΤϣܿm,p򣳤dzäΤϣܿξդ򤵤ˣdzäƤƱμ

Ȥ̵¤³Ȥˤʤꡢz,m,pϲǤ⣳dzڤȤꤨʤ֤򾷤Ȥˤʤޤ

̷򤭤ȸˤϡǽm,pκФơߤǤmp˴ؤ뼰ˤƤȡɤ⣳dzڤ뤳ȤȸߤǤǤ뤳Ȥ̷ǺѤߤޤʤmޤpξϡ㳰Ȥƽɬפޤ
517ڡ 1:30:44 29844
doba
Ǥ
¤äαĹؤο­ġ
£äؤο­ŤȤȡ
ãŤȢã£Ĥǡ
ãã¡ᣱʤΤǡ
Ϣãšã£ġᣱ
ޤܣ£ġܣ£ŤʤΤǡ
£Ģᢤ£
äơȤƤ
㚣ġ£šᣱ(3/2)(3/2)ᣲ
£šţáᣳ
ģáᣳ
Ȥʤޤ

򤤤Τϡ£áäǤꤵС
ͤˤ餺ѤäޤȤȤǤ͡
517ڡ 1:59:15 29845
ϲ
ʤۤɡ
517ڡ 7:23:43 29846
⡼ޥ
#29844
dobaء
ʤۤɤ͡
꤬ȤޤOrz
¿ʬ3ʳǤ⤤Ǥ⤢ꤽǤ͡^^
517ڡ 8:54:03 29847
ǥ
¿οͤʬƱˡDz򤯤ȻפäƤޤ
ǼĤ򸫤ƤȤˡΤʤȴޤ
̣Ǥ򤯡ȤäƤ⤤äȻפޤ
ʿʳعʳؽΤǤϤˤʤꤽǤ͡

ȤƤ #29845 doba βˡäꤷƤƹǤ͡
ʺǸιԤΡDA:ACᣳפ AC:աBDBE8*3/5ˤ
פʡ


517ڡ 10:00:47 29848
ϥ饮㡼ƥ
Ϥ褦ޤѴؿMATHEMATICAʿե)
Ǥ
517ڡ 9:57:16 HomePage:湩ؤ˥29849
uchinyan
Ϥˤϡơϡ
Ūפޤ ^^v
ɤʤȤ֤Ȥϻפޤˡ

BC BAD = CAE = ABC Ȥʤ DE ȤꡤA BC ˿򲼤Ƥ­ H Ȥޤ
ABD = ABC = BAD ꡤDA = DBADC = 2 * ABC ǡ2 * ABC + ACB = 90ʤΤǡ
CAD = 180 - ADC - ACD = 180 - 2 * ABC - ACB = 180 - 90 = 90Ǥ
ǡDAE = CAD - CAE = 90 - CAE = 2 * ABC + ACB - ABC = ABC + ACB Ǥ
ˡDEA = CAE + ACE = ABC + ACB = DAE ʤΤǡDA = DE Ǥ
ɡDA = DB = DE Ǥ
ǡCAE = ABC = CBAACE = BCA ʤΤǡEAC ABC Ǥ
ǡECAC = ACBCEC4 = 48EC = 2 cm Ǥ
줫顤DA = DB = DE = 1/2 * BE = 1/2 * (BC - EC) = 1/2 * (8 - 2) = 6/2 = 3 cm Ǥ
CAD = 90äΤǡCDA DAACCD = 345 ľѻѷǤ
ޤ餫ˡCAH CDA ʤΤǡCAH AHHCCA = 345 ľѻѷǤ
ǡAH = 3/5 * AC = 3/5 * 4 = 12/5 cm ǡABC = 1/2 * BC * AH = 1/2 * 8 * 12/5 = 48/5 cm^2 ˤʤޤ

ƱȤǤABE ľѻѷˤʤ뤳ȡD Ȥ BE Ȥ롤Ȥñ⤷ޤ
ͥνȡ 517ڡ 12:03:44 MAIL:uchi@sco.bekkoame.ne.jp 29850
uchinyan
ǼĤɤߤޤ

#29829
Ĺơޤ֤ơդĹơ
ȤˡǤϤ褯ʬޤ󤬡#29845Ʊʡ

#29832
ãαĹˣ¤򤪤
Ȥˡ
ʤΤǣ£ġᣴġᣲ
ϡΤ˵ޤޤǤϤɤäʬ餺
#29845Ʊʡ

#29833#29841
¿ʬ#29850Ʊ

#29835
褬ʤΤǤ褯ʬޤ󡥡
#29845Ʊʡ

#29838#29849
Ѵؿˤˡ̤ˤСѴؿǤŻ٥Ǥ͡

#29840
ʿˤˡ

#29842
B ΩƤľѻѷˡ
6cm ϤɤäƵ᤿ΤޤϤ褯ʬ餺

#29845
򤦤ޤȤˡʤʤޤˡǤ͡
#29833#29841#29850ή⡤Ǥޤޤ

ޤ
䤳򤤤Τϡ£áäǤꤵС
䤽ͤˤ餺ѤäޤȤȤǤ͡
ޤɤǤ⤤ȤǤ
ABC = 1/2 * BC * AC * (BC^2 - AC^2)/(BC^2 + AC^2)
Ǥ͡
ͥνȡ 518ʶ 11:07:38 MAIL:uchi@sco.bekkoame.ne.jp 29851
..*ӡ..*
ѣ¡ߣܳѣá᣹
򤽤Τޤñ˻Ȥä
http://sugiue-t.s3.x-beat.com/cgi-bin/uploader/source/up0170.jpg
http://sugiue-t.s3.x-beat.com/cgi-bin/uploader/source/up0171.jpg
http://sugiue-t.s3.x-beat.com/cgi-bin/uploader/source/up0172.jpg
http://sugiue-t.s3.x-beat.com/cgi-bin/uploader/source/up0173.jpg
Ū
517ڡ 17:15:01 29856
uchinyan
#29856
ʤۤɡϡ޷ѷ򤤤餷ƤǤ͡
ͥνȡ 517ڡ 18:39:09 MAIL:uchi@sco.bekkoame.ne.jp 29857
⡼ޥ
#29856 Ϥ⤷ɡפĤˤʤ^^;
Ǹοޤ΢5ܤˤʤΤϤʤ
B*2+C=90򡢤դĤ˻Ȥʤ顢BC BD=AD ȤʤäADC A=90ľѻѷ3:4:5) ˤʤ뤳ȤȤ(#29841)Ȼפޤ^^
517ڡ 21:34:12 29858
罡Ϻ
λѷ
ܣ¡ܢܣá᣹
ȤΤʤä
ΤäƤнֻ
517ڡ 21:38:43 MAIL:igoso@nifty.com 29859
ǥ
罡Ϻ
#29859ˤΡ֣λѷ BܢC 90١פϰ̣Τʤ
ʸˤȤɤʤۤ褤Ȼפޤ
㤨ޤˤơBC18cm,AC12cm ξBC
ABCBAD ʤDȤȢADCϡBܢC90١ߤ
λѷˤʤޤ
cm,cm ȤΤȤǤϤơΩĤΤǤ
ʤǤ礦

#29841)ˤƤ ABCBAD ΤȤ AD Ȥƻʿ
Ȥäƣᣳ ʤɤơ ƳƤΤȻפޤ

519ڡ 0:37:26 29860

פ֤ǡ⹻ˤʤäƤʤʤ֤ʤƤǤޤǤƥȴǤƤޤޤгعΰʬ򤬤狼ʤäʵˤǤïƤ館ޤ󤫡
أܣ٣ܣڣݣأ٣ڡ빽ñ˸ǤȤʤʤʬ𤱤ʤǤ
519ڡ 18:52:25 29861
ǥ
#29861 ξ礵󡣷ޤȼμˤʤޤ
ʣ++ˡʣ^2ܣ^2Z2ݣݣݣ

оȤСʣ++ˡʣ^2ܣ^2Z^2ˤΤ褦ʷǤ
ʤͽۤΩƤƤ֡פʬĴʤ鸫ĤƤˡġ
¾ˡȤƤ
ʣ++)^3 ŸƤ餽ѷơ
^3ܣ^3ܣ^3ݣxyzʣ++)^3ݣ(xy^2+x^2y+yz^2+y^2z+zx^2+z^2x+3xyz)
ʣ++)^33Уʣ+++ʣ+++ʣ++ˡ
ʣ++)^3ݣʣ++ˡʣ++
ʣ++ˡ(++)^2ݣ--
ʣ++ˡʣ^2ܣ^2ܣ^2ݣݣݣ
ȤʤޤۤäΤŪʼľޤ
520 0:56:55 29862
uchinyan
#29861
ޤ긭ʤǤΤ褦ƻˤФǤޤ
x^3 + y^3 + z^3 - 3xyz
= (x + y)^3 - 3 * x^2 * y - 3 * x * y^2 + z^3 - 3xyz
= (x + y)^3 + z^3 - 3xyz - 3xy(x + y)
= {(x + y) + z}^3 - 3 * (x + y)^2 * z - 3 * (x + y) * z^2 - 3xyz - 3xy(x + y)
= (x + y + z)^3 - 3 * [(x + y) * z^2 + {(x + y)^2 + xy} * z + xy(x + y)]
ǡ2ϡ
(x + y)zxy
z(x + y)
Ρȹͤ
= (x + y + z)^3 - 3 * {(x + y) * z + xy} * {z + (x + y)}
= (x + y + z)^3 - 3 * (xy + yz + zx) * (x + y + z)
= (x + y + z) * {(x + y + z)^2 - 3(xy + yz + zx)}
= (x + y + z)(x^2 + y^2 + z^2 - xy - yz - zx)
̾ΰʬμ¿ϰϤǤϤޤǤǤ
¿ʬ⤦ٶʤȡʣǿϰϤޤǤζ̣ʬǽǤ
ϡΤڤߤ˼äƤޤ礦 ^^
ͥνȡ 519ڡ 23:17:49 MAIL:uchi@sco.bekkoame.ne.jp 29863
ʸ
Фϡ
520 0:07:40 29864
⡼ޥ
#29861
ʤθĤޤv

x^3+y^3+z^3-3xyz
=(x+y)^3-3xy(x+y)+z^3-3xyz
=(x+y)^3+z^3-3xy(x+y+z)
=((x+y)+z)((x+y)^2-(x+y)z+z^2)-3xy(x+y+z)
=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)

ޡȤʤäƻפޤ

ϡ
(a-b)^3+(b-c)^3+(c-a)^3ʬ򤻤衣

520 12:41:33 29865
ǥ
#29865
ʤۤɥޡȤʲˡǤ͡
(a-b)^3+(b-c)^3+(c-a)^3ΰʬǤ
(a-b)^3+(b-c)^3+(c-a)^3{(a-b)+(b-c)}{(a-b)^2-(a-b)(b-c)+(b-c)^2}+(c-a)^3
ݡc-a){(a-b)^2-(a-b)(b-c)+(b-c)^2}+(c-a)*(c-a)^2
(c-a)()ᣳʣ-a)a-)ʣ-a
ȤˡŪʤΤǤ礦Ǥ񤫤줿տޤϡ

x^3+y^3+z^33xyz(x+y+z)(x^2+y^2+z^2-xy-yz-zˡμ
ab, ybc ,ca ȡ++ᣰ
a-)^3ܡʣ-)^3ܡʣ-a)^3ݣa-)ʣ-)ʣ-aˡᣰ
a-)^3ܡʣ-)^3ܡʣ-a)^3ᣳ(a-)(-)(-a

ȤʤΤǤ礦ʤۤɡԤˡDz򤤤Ƥޤ
ޤ͡
520 15:57:48 29866

¿οͤ˶ϤƤƤȤƤ⤢꤬ǤߤʤΤǤäƤΤǤ椫飳ȤˤҤääƤޤְ㤨ޤĤ⤳ޥߥǣƨƤޤޤ
⤦μäȻפޤ
꤬Ȥޤ
520 16:46:50 29867
⡼ޥ
#29866
ǥ󡢤̤Ǥ
ɤǡ
(1) x+y+z=0 ΤȤx^3+y^3+z^3-3xyz ͤ衣

(2)ΰʬˤʤäƤ褦Ǥ^^v

ʤۤɤʡäƻפäǡ^^
520 19:31:18 29868
粬ҹ
ե߰衢פ֤ޤʡˡ蘆˥ɥХƤä̤õơĺ򤪤ܣ¡ߣܢܣá᣹ꣳλѷޤߣߣߣᣴϻ餷򤱤ޤʡˣ
520 23:16:22 29869
ե륳
粬󡢤פ֤Ǥ
521ʷ 15:33:43 MAIL:falcon.bmw.e34-540i@ezweb.ne.jp 29870
粬ҹ
áե륳󤵤󡢵פ֤ǤޤȤäǤ͡ʡˡҥǡҤˤ⵹
522ʲС 18:22:48 29871
⡼ޥ
ͧǤ^^

1.(a,b)򤹤٤Ƶ衣
LCM(a,b)+GCD(a,b)+a+b=ab
a>=bȤ롣
LCMGCDϺǾܿɽ

2.ȣϸߤǤǡnζȤ롣
ΤȤx+yx^n+y^nǤϤʤȤ衣
xy1 Ȥ롣

٤ʤϤͷФ^^;
523ʿ 9:23:31 29872