Ϥʤ
פ֤˼ˤΤDz
Ǥ͡*:.. ..:*
113ڡ 0:06:10 26075
ΤӤ
Ϥ䤯Ȥޤ(^^)
113ڡ 0:08:09 26076
Ϥʤ
#26074
ǤȤޤ
(;)ʥȡΩƤǤ
ʤΤˡ轵ιǤ͡줫ⵤڤ˴ĥäƤ
113ڡ 0:08:36 26077
ߥƥ
¤äȤơ
yx2 y5x/2 ϢΩ
Ӥκɸ (4/7, 10/7) ФǤ

> £Ѥ˿ľ˸褦ľȣУѤθӤȤޤ
ȤӤη (?) ȡҤʤɬפʤȤ
˻֤򤫤Ƥޤޤ||
113ڡ 0:09:17 HomePage:ߤ26078
ҡΤ
٥ȥȤޤʡ
9ߤ濴 113ڡ 0:12:04 HomePage:26079
ݤ
#26074
ΩǤȤ޼
ǤѤǤ礦
ޤ̵ʤ̤褦ˡ
Ǥϡޤ褦
Ƹɡ 113ڡ 0:14:32 MAIL:hopes@mba.ocn.ne.jp HomePage:ȣϣУţӤ褤Ȥ٤Ϥ26080

400ΩǤȤޤm(_ _)m
ڤˤ顣Ǥͤ
ͤ⤽ʥƥ󥷥ǿءʤ˥󥸡ˤ³ƤǤ
̤̪ 113ڡ 0:18:18 MAIL:ishizaki@qa.so-net.ne.jp 26081
ޥ
դ礤ȳʤ߲Ƥޤ

ʿϤʤDz򤱤ǤǰΤᡣ
113ڡ 0:30:54 26082
uraru
դηΨ褯ȤȲ򤱤ޤȵäФäΤǡǤ
113ڡ 0:39:53 26083

ARCA˲žCBȰפ褦˲žRΰưR'Ȥ
AR'BRƱ߼ˤBRR'=BAR=ABQĢR'BR=90ʤɤ
BRR'梤ABQʤPS:SQ=BR:RC=5:2
S(APS)=2(5/7)=10/7
113ڡ 0:40:59 26084
Ȥ
ϤĤο޷ñǤߥޤ
ʿʤǤϤȤƤǤޤ
褺դοޤA(0,0),P(0,2),B(0,5),C(5,0),Q(2,0)
ľBQ:y=-5*(x-2)/2
ľPQ:e1:y=-(x-2)$
ľARϤ˿ľ
ľAR:e2:y=2*x/5$
ȭȤθsolve([e1,e2],[x,y]);x=10/7,y=4/7
S(10/7,4/7)
P(0,2)ȤεΥ
expand((10/7,)^2+(4/7-2)^2)$
sqrt(%);
PS=10*SQRT(2)/7
PQϢAPQľѻѷPQ=2*SQRT(2)Ȥ
APQ(2*2/2=2):APS=PQ:PS=2*SQRT(2):10*SQRT(2)/7=2:10/7
衡APS=2*10/(7*2)=10/7()
˭ԡ 113ڡ 0:45:36 MAIL:fttnm528@ybb.ne.jp 26085

Ҥȣ£ѤθԤȤľѻѷԣѤȣ£ԣ棲äƣѣԡԣ¡ᣴӣѡ£ҡᣴޤӣѡңáᣲ£ҡңáᣵУӡӣ
113ڡ 0:59:23 26086
ϥ饮㡼ƥ
ѴؿȤɸŪؽ˴ޤ

MathematicaǤ
̶彣 113ڡ 6:53:53 HomePage:ĩ26088
uchinyan
ϤϤ褦ޤϴñǤ͡
ˤäơɤʤƱȤϻפޤ
AR BQ Ȥθ D Ȥޤ
ABQABDAQD ǡQDADBD = 41025 ˤʤޤ
P AR ʿԤ BQ Ȥθ E Ȥޤ
ȡBEED = BPAP = 32 ǡEDQD = 104 = 52 ȤʤꡢPSQS = EDQD = 52 Ǥ
ǡAPS = 5/(5+2) * APQ = 5/7 * 1/2 * 2 * 2 = 10/7 cm^2 Ǥ
ͥνȡ 113ڡ 9:24:57 MAIL:uchi@sco.bekkoame.ne.jp 26089
uchinyan
̲Ǥñʡ
AR BQ Ȥθ D Ȥޤ
B BC ФƿΩ AC A ؤαĹȤθ E ȤE P ȤӤޤ
CEABABE = ABC = 45 ʤΤǡAE = AB = 5cm Ǥ
餫 AEP ABQ ǡ٤δط ABQ DBA ǤǡAPE = AQB = BAD AR//EP Ǥ
äơPSQS = EAQA = 52 ˤʤꡢ
APS = 5/(5+2) * APQ = 5/7 * 1/2 * 2 * 2 = 10/7 cm^2 Ǥ
ʤǽˡABQ AB CA αĹˤΤ褦˲žƤƱȤޤ

ˡABQ A 濴 AB AC ˽Ťʤ褦˲ž Q ΰư Q' ȤƤ⡢AR//Q'C ǡ
PSSQ = BRRC = BAAQ' = 52 Ȥʤꡢ褦ʾǤޤ

ޤۤɤ#26089βˡθȾϡͥ饦ȤäƤǤޤ

ޤޤʲˡꤽǤ ^^
ͥνȡ 113ڡ 17:26:57 MAIL:uchi@sco.bekkoame.ne.jp 26090
ȥȥ
#26086
ƱȤǤϤä˺Ƥޤ
ϵ٤ߤǤΤӤꤷƤޤ
ʼ˸лԡ 113ڡ 11:18:37 MAIL:h-sakai@zb3.so-net.ne.jp 26091
uchinyan
ǼɤߤޤϤꡢʲˡ褦Ǥ͡
ϡβˡ#26086#26089ñʤ褦Ǥ͡
ߤβˡ#26084⡢ʤʤ򤤤Ǥ㴳ʣʡʤ
BRR'=BAR=ABQ
ϡBRR'=BAR'=ABQ Ǥ͡äȡ
ޥ뤵400ˡΩǤȤޤ400դޤǤäơ󥿡
ΩǤĹǤ饤Ǥ⡢Ѥ
ѤȤϻפޤ轵ڤߤˤƤޤΤǡ줫⵹ꤤפޤ m(__)m
ͥνȡ 113ڡ 12:04:45 MAIL:uchi@sco.bekkoame.ne.jp 26092
⡼ޥ
äޤ
RS=102/7 ʬФȤη׻Ǥ͡
錄Ĺˤʤ줿餤餷顣
ޤ¤
113ڡ 13:26:15 MAIL:kennji72001@yahoo.co.jp 26093
uchinyan
Ϥ٤ߤʤΤǡ⤦Ĥ̲ ^^;
C AC ˿Ω AR Ȥθ D ȤP AR ʿԤ BC Ȥθ E Ȥޤ
CAD = ABQACD = BAQ = 90١AC = AB = 5cm ꡢADC BQA ǡCD = AQ = 2cmADC = BQA = BAS Ǥ
ˡDCR = 45 = APS ʤΤǡDCR APS ǡCR = PS ˤʤޤ
ޤPERS ʿԻշʤΤǡPS = ER Ǥ
餫ˡAPS PBE ǡPSBE = APPB = 23 Ǥ
ǡBEERRC = 322 ˤʤޤ
ʾꡢAPS = DCR = ADC - ARC = BQA - 2/(3+2+2) * ABC = 1/2 * 2 * 5 - 2/7 * 1/2 * 5 * 5 = 10/7 cm^2 Ǥ
ΥХꥨ⤤ꤽʵޤ
ͥνȡ 113ڡ 21:05:19 MAIL:uchi@sco.bekkoame.ne.jp 26094
ã
ʤΤǢңäѤ뤳ȤͤдñǤ
Ҥ¤ʿäȤθŤȤޤ
£Ѣ梤ţҡ£ѡᣵšţ
ţҡţáʣݣˡᣱ
ӡʢңáˡᣲ
ӡʢУӡˡʣݣˡʣˡᣱ
113ڡ 23:22:48 26095
ʤ
ꤽǤ

ľ£αĹˣţ//ӤȤʤ褦Ť롣
ѣŢ£Ѥѣšᣵ
СѤѣšᣵУӡӣѡᣵ
̹񡡡 114ʶ 7:55:02 MAIL:naka@sansu.org HomePage:naka's Home Page26096
ʤ
#26096 ʣ
УѣУšᣵäƣУӡӣѡᣵ
114ʶ 8:37:54 MAIL:naka@sansu.org 26097
⡼ޥ
#26095
á
Chiba ñ錄ϡ虜虜RCդγ򻰳ѷAPQ˳ݤƤޤ𤱤ʤ
114ʶ 8:43:46 MAIL:kennji72001@yahoo.co.jp 26098
uchinyan
Τˤʲˡ褦Ǥ
ݥȤϡABQ Ȥ(Ʊޤ)ɤĤ뤫ȤǤ礦
ͥνȡ 114ʶ 8:49:46 MAIL:uchi@sco.bekkoame.ne.jp 26099
kasama
Ϥ褦ޤ٤ߤäΤǡäƤޤ(^_^;
CADˤ餻ޤ

á400ΩǤȤޤ<m(__)m>
114ʶ 15:40:42 26100
Toru Fukatsu
400ˡּĹפǤȤޤǤ͡줫ꤤޤ
ꡢȿ§ǤĤΤ褦˥٥ȥǤޤʤҤ᤭ΤʤʤäˤϤ줬֤䤵
٥ȥAP=p ٥ȥAQ=q ٥ȥAS=(1-s)p+sq ȤСASBQľ顢ѡ(1-s)p+sq,-5/2 p+q=0 s=5/7
114ʶ 12:55:13 MAIL:tfukatsu@tth-japanpost.jp 26101
ͧοʺ
ͤǯޤǵܻȤǤּĹפäƤŻѤǤ礦͡
ηǼĤˤ¿ΡּĹפäƤޤ󤽤줾
ĥäƤޤǯޤʳϤ줿ȳͤإ
Į 114ʶ 17:36:12 MAIL:tanioka-s@ams.odn.ne.jp 26102
粬ҹ
Ϻɸǹͤޤʡˣ¤ءäټȤơ
ľѣ£ݣܣľ򤹤ľҡᣵ
ľã¡ݣܣã¤ȣҤθҤΣؼͤϣ
äƣãҡã¡ᣱᣲ
Уӡᣲᣱ
äƣϤ줷פĤޤǤǤä¾γβˡ򻲹ͤˤƤ餤ޤʡ
114ʶ 18:16:06 MAIL:toshi009@land.hokuriku.ne.jp 26103
linear
Ⱦǯ­餺ˤʤͽʤʤʤǽǤޤ󤬡ˤʤΤǡϥ󥿡α齬⤫ͤƥ٥ȥǤȤޤABACܥ٥ȥȤPSSQS(1-S)Ȥ AS=(1-S)*2/5AB+s*2/5AC ɽ졢ASBQΡASBQ = 0 S = 5/7ȤȤޤ롣äƵѤϢAPQ5/710/7Ȥʤ롣
114ʶ 21:49:19 26104
ޥ
¿Τ˼꤬Ȥޤ

#26074ˤ񤭤ޤĹȤϸäƤҰϻƣͤǤ...ޤˤƤͳϡβҤȤΥȥ֥뤬ݤפäǤޤȾǯʾвᤷޤäȤȤǥХ餷ƤޤޤProfileιϤ⤦äˤĤǤ
ҡʤȤΡˤWebڡäƤޤ󤼤󹹿Ƥޤ󡣤Ǥ...ȤäС

http://www.e-arena.net/

ФȻפޤ

ޡʤȤȤϴطʤϵڤˤ³ƤĤǤΤǡȤꤤޤ

PowerBook G4 114ʶ 22:05:50 MAIL:masaru-y@sansu.org HomePage:26105
tapu
׻ְ㤤ޤǤ
115ڡ 11:07:22 26106
粬ҹ
ľѣ¡ݣܣδְ㤤Ǥʡ
117ʷ 9:09:47 MAIL:toshi009@land.hokuriku.ne.jp 26108
⡼ޥ
1֤ĹΤǡ
ͧͤǤ

abcϼߤȤ롣
a^3+2b^3+4c^3=2abc
ΤȤa=b=c=0Ǥ뤳Ȥ򼨤
117ʷ 11:23:03 MAIL:kennji72001@yahoo.co.jp 26109
linear
⡼ޥ󤵤˲ޤ
ؤΤʲZΤȤȤɬƱȤϸ¤ʤ
a^3=2*Za϶2kkڤӲl,mϤZˤȤ
μb=2*Zb϶2lȤ⤦
Ʊͤˤc=2*Zc϶2lȤ롣
ȸμˤa,b,c򤽤줾k,l,m֤
ꤿġäk,l,mǤꡢƱͤˤa,b,c
DzäƤ⣳Ķ뤳Ȥˤʤ롣Ȥǡa=b=c=0
ǤʤȲꤹȡa,b,cϤ줾2ͭ¼ˡʴˤǤ뤫顢ǽʬʲȤĤˤϴȤʤꡢη̷⤹롣äˡˤa=b=c=0Ǥ롣ʾ
117ʷ 16:52:28 26110
linear
⡼ޥ󤵤˲ޤ
ؤΤʲZΤȤȤɬƱȤϸ¤ʤ
a^3=2*Za϶2kkڤӲl,mϤZˤȤ
μb=2*Zb϶2lȤ⤦
Ʊͤˤc=2*Zc϶2lȤ롣
ȸμˤa,b,c򤽤줾k,l,m֤
ꤿġäk,l,mǤꡢƱͤˤa,b,c
DzäƤ⣳Ķ뤳Ȥˤʤ롣Ȥǡa=b=c=0
ǤʤȲꤹȡa,b,cϤ줾2ͭ¼ˡʴˤǤ뤫顢ǽʬʲȤĤˤϴȤʤꡢη̷⤹롣äˡˤa=b=c=0Ǥ롣ʾ
117ʷ 17:14:49 26111
⡼ޥ
#26110
linear ء󥸤ɤǤǤ⤤Τʡ

βϰʲΤȤǡʤäɡͧͤΥդǾҲ𤷤ޤ

餫a϶a=2a'
8a'^3+2b^3+4c^3=2abc
4a'^3+b^3+2c^3=abcʶ
Ĥޤb϶b=2b'
8a'^3+16b'^3+4c^3=2abc
4a'^3+8b'^3+2c^3=8a'b'c
2a'^3+8b'^3+c^3=4a'b'c
Ĥޤc϶c=2c'
8a'^3+16b'^3+32c'^3=16a'b'c'
a'^3+2b'^3+4c'^3=2a'b'c'
ʲ򷫤֤
־0
a=b=c=0λΩ뤫餳λ


̵¹߲ˡȤΤǤ
117ʷ 17:33:03 MAIL:kennji72001@yahoo.co.jp 26112
uchinyan
#26109ڤӤθβ˴ؤơ
ŪˤƱʤΤǤɤΤ褦Ū˽񤯤Ǥ͡ʤΤǡ¤Ϥ줬פʤΤǤ
ǤϤʤΤǡ羮ط̯ˤʤޤ
βǤ⾯ˤƤޤ
|a|, |b|, |c| κ g Ȥޤ
ȡa = gx, b = gy, c = gzx, y, z ϡ1 -1 ⤿ʤȽ񤱤ޤ
a^3 + 2b^3 + 4c^3 = 2abc ȡg^3 * (x^3 + 2y^3 + 4z^3) = g^3 * 2xyz ˤʤޤ
ǡ⤷ g 0 ǤʤʤСx^3 + 2y^3 + 4z^3 = 2xyz Ωޤ
Ȥμ顢x = 2x'x' ȤʤϤǡ4(x')^3 + y^3 + 2z^3 = 2(x')yz ˤʤޤ
ȡy = 2y'y' ȤʤϤǡ2(x')^3 + 4(y')^3 + z^3 = 2(x')(y')z ˤʤޤ
ȡz = 2z'z' ȤʤϤǡ(x')^3 + 2(y')^3 + 4(z')^3 = 2(x')(y')(z') ˤʤޤ
Ĥޤꡢx, y, z ϡ(x')^3 + 2(y')^3 + 4(z')^3 = 2(x')(y')(z') x', y', z' Ѥơ
x = 2x', y = 2y', z = 2z' Ȥ뤳Ȥˤʤޤ
ϡx, y, z 1 -1 ⤿ʤäȤ̷⤷ޤ
äơg = 0 ǡa = b = c = 0 ˤʤޤ

ʤ
⤷a, b, c ͭa = p1/q1. b = p2/q2, c = p3/q3 ȤƤ⡢Ʊa = b = c = 0 Ǥ͡
(p1 * q2 * q3)^3 + 2 * (q1 * p2 * q3)^3 + 4 * (q1 * q2 * p3)^3 = 2 * (p1 * q2 * q3) * (q1 * p2 * q3) * (q1 * q2 * p3)
ȤʤΤǡp1 * q2 * q3 aq1 * p2 * q3 bq1 * q2 * p3 c ȿ˹ͤľСp1 = p2 = p3 = 0 򤬤ʤΤǡ
̵ޤǵСa^3 - (2bc) * a + (2b^3 + 4c^3) = 0 ʤΤǡ2b^3 + 4c^3 < 0 ʤСa ˤϼ¿򤬤ޤ
㤨Сa = 1, b = - 2^(-1/3), c = 0 ʤɡ̵ˤޤ
ʤ ̤˼¿Ǥ a, b, c > 0 ξϡʿѤˤäơ
2abc = a^3 + 2b^3 + 4c^3 >= 3 * (a^3 * 2b^3 * 4c^3) = 6abc abc <= 0
ʤΤǡΩa, b, c Τ줫 0 ǤʤФʤޤ󤬡
a = 0 ʤ b^3 + 2c^3 = 0b = 0 ʤ a^3 + 4c^3 = 0c = 0 ʤ a^3 + 2b^3 = 0 ʤΤǡ
a, b, c >= 0 Ǥϡa = b = c = 0 Ϥޤ
ͥνȡ 117ʷ 17:51:16 MAIL:uchi@sco.bekkoame.ne.jp 26113
uchinyan
#26113νΤǤʤ
ʤ̤˼¿Ǥ a, b, c > 0 ξϡʿѤˤäơ
֤ʤ̤˼¿Ǥ a, b, c >= 0 ξϡʿѤˤäơ
Ȥʡ
2abc = a^3 + 2b^3 + 4c^3 >= 3 * (a^3 * 2b^3 * 4c^3) = 6abc abc <= 0
2abc = a^3 + 2b^3 + 4c^3 >= 3 * (a^3 * 2b^3 * 4c^3)^(1/3) = 6abc abc <= 0
ǤѤߤޤ
ȡ
̵ޤǵСa^3 - (2bc) * a + (2b^3 + 4c^3) = 0 ʤΤǡ2b^3 + 4c^3 < 0 ʤСa ˤϼ¿򤬤ޤ
2b^3 + 4c^3 < 0 ʤСפϡפǤ3Ͼ˾ʤȤĤμ¿ĤΤǡ
ͥνȡ 117ʷ 18:47:27 MAIL:uchi@sco.bekkoame.ne.jp 26114
⡼ޥ
#26113,#26114
uchinyan 󡢤ɤǤ
ʤۤɡŪǼǤޤ
ˤƤ⡢Ĥʤߤʤβᤵˤϴ
117ʷ 21:00:26 MAIL:kennji72001@yahoo.co.jp 26115
uchinyan
#26115⡼ޥ󤵤
˫¤äƸɤǤβˡˤϡŪˤս꤬ޤϡ 0 ȤΤϥʥ󥻥󥹤Ǥ
Ƥޤ

a, b, c Ϥ 0 ǤʤȤ|a|, |b|, |c| κ g Ȥޤ
ȡa = gx, b = gy, c = gzx, y, z ϡ1 -1 ⤿ʤȽ񤱤ޤ
a^3 + 2b^3 + 4c^3 = 2abc ȡg^3 * (x^3 + 2y^3 + 4z^3) = g^3 * 2xyz Ǥ
g 0 ǤʤΤǡx^3 + 2y^3 + 4z^3 = 2xyz Ωޤ
Ȥμ顢x = 2x'x' ȤʤϤǡ4(x')^3 + y^3 + 2z^3 = 2(x')yz ˤʤޤ
ȡy = 2y'y' ȤʤϤǡ2(x')^3 + 4(y')^3 + z^3 = 2(x')(y')z ˤʤޤ
ȡz = 2z'z' ȤʤϤǡ(x')^3 + 2(y')^3 + 4(z')^3 = 2(x')(y')(z') ˤʤޤ
Ĥޤꡢx, y, z ϡ(x')^3 + 2(y')^3 + 4(z')^3 = 2(x')(y')(z') x', y', z' Ѥơ
x = 2x', y = 2y', z = 2z' Ƚ񤱤뤳Ȥˤʤޤ
ϡx, y, z 1 -1 ⤿ʤäȤ̷⤷ޤ
äơa, b, c Τ줫 0 ˤʤޤ
㤨 c = 0 Ȥȡa^3 + 2b^3 = 0 ǡa 0 Ǥʤ硢b 0 Ǥʤ
ۤɤƱͤˡa, b κƸߤǤȤ a, b Ϥ궦̰ 2 äƤޤ̷⤷ޤǡa = b = 0 Ǥ
¾ξƱͤǡɡa = b = c = 0 ˤʤޤ

ʤ
⤷a, b, c ͭa = p1/q1. b = p2/q2, c = p3/q3 ȤƤ⡢Ʊa = b = c = 0 Ǥ͡
(p1 * q2 * q3)^3 + 2 * (q1 * p2 * q3)^3 + 4 * (q1 * q2 * p3)^3 = 2 * (p1 * q2 * q3) * (q1 * p2 * q3) * (q1 * q2 * p3)
ȤʤΤǡp1 * q2 * q3 aq1 * p2 * q3 bq1 * q2 * p3 c ȿ˹ͤľСp1 = p2 = p3 = 0 򤬤ʤΤǡ
̵ޤǵСa^3 - (2bc) * a + (2b^3 + 4c^3) = 0 Ȥʤꡢa 3Ȥߤȡa ˤϾ˼¿򤬤ޤ
ʤ ̤˼¿Ǥ a, b, c >= 0 ξˤϡa = b = c = 0 ˤʤޤϡ
a, b, c > 0 ξˤϡʿѤˤäơ
2abc = a^3 + 2b^3 + 4c^3 >= 3 * (a^3 * 2b^3 * 4c^3)^(1/3) = 6abc abc <= 0
ʤΤǡ¸ߤޤ
ǡa, b, c Τ줫 0 ǤʤФʤޤ󤬡
a = 0 ʤ b^3 + 2c^3 = 0b = 0 ʤ a^3 + 4c^3 = 0c = 0 ʤ a^3 + 2b^3 = 0 ʤΤǡ
a, b, c >= 0 Ǥϡa = b = c = 0 Ϥޤ

ϡc 0 ǤʤȤơx = a/c, y = b/c Ȥȡ
x^3 + 2y^3 + 4 = 2xy ͭ⤿ʤ
ȸ뤳ȤǤΤǤϤʤǤ礦
Ȥʤȡʱ߶ɤ˲櫓ǡ⾰Τ褦ˤפޤ
ۥȤʡ (^^;
ͥνȡ 117ʷ 22:54:50 MAIL:uchi@sco.bekkoame.ne.jp 26116
⡼ޥ
#26116
uchinyan ء
>ʱ߶ɤ˲櫓ǡ⾰Τ褦ˤפޤ
ʱ߶äơեޡȤ꡼ޥͽۤ˽ФƤĤǤ͡ǽǤĤƤޤ󤬡դ狼ͤˤȤäƤϤ򤤤Ǥ礦ͤƴؿϡ̣ʬȤ⤢ǤáƻפäƤޤޤͤ
118ʲС 14:44:57 MAIL:kennji72001@yahoo.co.jp 26117
holden
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118ʲС 20:54:05 26118
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118ʲС 23:23:15 26119
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118ʲС 23:26:39 26120