Taro
PCե꡼orz
ְ㤤˵ŤPHSƤ֤ˤޤ
ԤΤϤ졡 430ڡ 0:03:49 34403
ޥ
եߤ˳ŤäƤȤ..(^^;
PowerBook 430ڡ 0:06:34 MAIL:masaru-y@sansu.org HomePage:Men @ Work34404
Ѥ
http://www.diced.jp/~eityan/etc/aaa.GIF
꾮ǤѤ˻پϤʤΤʡȻפĤ
֡ 430ڡ 0:08:18 HomePage:֥34405
3浡Х
ΤȴƤΤȡ
ǽƱ⤵ޤǤȻפäƤƴְ㤤ޤ
430ڡ 0:08:45 34406
ڤפɡ
ǰ5/5ܽˤʤΤǻäǤʤǤ͡
430ڡ 0:09:54 34407
ߡ
#34403
ϡޤѤʡ
430ڡ 0:10:34 MAIL:amimorisama@hotmail.com 34408
Ϥʤ
äȽĥƤƵפ֤λäǤ

£äγ¦1/2Ĺ⤵򿭤Ф褦ʻѷȡѤABC25/4ȤϳѤ򣳤Ľ22/4Ǥ빽񤷤ȻפΤˤߤʤ󤹤Ф餷Ǥ͡
430ڡ 0:15:13 34409
Ϥʤ
ե߰ٻäƤߤΤǤĤdzŤΤԤȻפޤ
430ڡ 0:21:30 34410
Ф
Ϥ߽ФʬλѷѤȾʬȤ櫓ޥ뤵󡣤ޤȹͤޤ͡
430ڡ 0:34:20 34411
᤬ͤˤ
峤黲Ǥ
򤱤Τǡä̲줽Ǥ
Τᡢѹ
430ڡ 0:37:10 34412
Ф
֥ʬŪ˽ƳޤäƤ
轵Ȥ櫓ˤϹԤޤˡ
http://blog.goo.ne.jp/akeot/
430ڡ 0:39:36 34413
(Keigei)
PAB+PBC+PACnߢABC ä顢(3n^2-1)/2 ܤǤ͡
430ڡ 0:44:45 34414
ߤ
뤤ʤȻפĤĤѷǺޡ
ѷ£äգѷѤϡΣϤȤˤȤȡ
գѷΣϤγĺ顢դѷΣϤ
ڤȤޤˤʤ褦Ǥ
äơݣߣᣴȤʤꡢϣܡ
430ڡ 1:01:20 34415
Mr.ǥ
ï⤬Ѥ()#34405Τ褦ʿޤΤǤϤʤǤ礦

֤꾮פȤΤưϰϤζϽޤѤˤϱƶʤʤȻפäƤޤ
430ڡ 1:15:28 34416
abc
#34414
̲Ǥ͡
430ڡ 1:19:33 34417
fumio
ФϡĤʤ顢ƤäƥǤ
ϤäƤ餹ä狼ޤϤϤϡ
430ڡ 1:32:22 34418
abcba@jugglermoka
#34405,#34416
⣲ܤ꾮ܰʲξ¤ޤ
430ڡ 8:40:56 34419

#34419ƱǤ
430ڡ 8:59:09 34420
uchinyan
Ϥˤϡơϡ
GWɤᤴǤ礦伫ȤʤȤޤѤʤΤǤ꤬ХХƤꡤ
δط⤢äơ򸫤Τ٤ʤޤ
츫ơȻפޤʴDz򤭤ޤ
ޤдñʤΤǤ񤭽ФĹʤäƤޤ̤Ǥ

CA A αĹCB B αĹAB ǰϤޤΰ򥢡
CB B αĹAB B αĹ ǰϤޤΰ򥤡
AB B αĹAC C αĹBC ǰϤޤΰ򥦡
AC C αĹBC C αĹ ǰϤޤΰ򥨡
BC C αĹBA A αĹCA ǰϤޤΰ򥪡
BA A αĹCA A αĹ ǰϤޤΰ򥫡
ABC 򥭡
Ȥޤ

P ڤӤζˤϡ
PAB + PBC + PAC = PAB * 2 + ABC < ABC * 2
PAB < ABC * 1/2
ʤΤǡAB դȸȡPAB ι⤵ < ABC ι⤵ * 1/2 ˤʤꡤ
P ϡAB ʿԤ AB ȤεΥ AB դȸȤ ABC ι⤵ Ⱦʬľ AB ¦ˤޤ
ľȡCA A αĹCB B αĹ Ȥθ EF Ȥȡ
CAAE = CBBF = 21CACE = CBCF = 23 ˤʤޤ

ϡP ڤӤζˤƱͤǡ
P ڤӤζˤϡ
P ϡBC ʿԤ BC ȤεΥ BC դȸȤ ABC ι⤵ Ⱦʬľ BC ¦ˤꡤ
ľȡAB B αĹAC C αĹ Ȥθ GH Ȥȡ
ABBG = ACCH = 21ABAG = ACAH = 23 ˡ
P ڤӤζˤϡ
P ϡCA ʿԤ CA ȤεΥ CA դȸȤ ABC ι⤵ Ⱦʬľ CA ¦ˤꡤ
ľȡBC C αĹBA A αĹ Ȥθ IJ Ȥȡ
BCCI = BAAJ = 21BCBI = BABJ = 23 ˡ
ʤޤ

ˡP ڤӤζˤϡ
PAB + PBC + PAC = PBC * 2 - ABC < ABC * 2
PBC < ABC * 3/2
ʤΤǡBC դȸȡPBC ι⤵ < ABC ι⤵ * 3/2 ˤʤꡤ
CAAE = 21 = BAAJ ʤΤ EJ//BC ǡP ϡEJ A ¦ˤޤ

ϡP ڤӤζˤƱͤǡ
P ڤӤζˤϡ
CBBF = 21 = ABBG ʤΤ FG//CA ǡP ϡFG B ¦ˡ
P ڤӤζˤϡ
ACCH = 21 = BCCI ʤΤ HI//AB ǡP ϡHI C ¦ˡ
ޤ

ޤP ABC ڤӤζˤˤϡ
PAB + PBC + PAC = ABC < ABC * 2
ǡ餫դޤ

ǡɡP ¸ϰϤϡդʿԤϻѷEFGHIJ Ǥ
Ѥϡ2123 ʤɤȤäơ
ϻѷEFGHIJ = AEFB + BFG + BGHC + CHI + CIJA + AJE + ABC
ABCCEF = 49ABCAEFB = 45BFGABC = 14
ABCAGH = 49ABCBGHC = 45CHIABC = 14
ABCBIJ = 49ABCCIJA = 45AJEABC = 14 ʤΤǡ
ϻѷEFGHIJABC = (5 + 1 + 5 + 1 + 5 + 1 + 4)4 = 224 = 112
ǡP ưȤΤǤϰϤѤϡABC 11/2 ܤˤʤޤ
ͥνȡ 430ڡ 12:10:44 MAIL:uchi@sco.bekkoame.ne.jp 34421
uchinyan
ǼĤɤߤޤ
ۤȤƱˡΤ褦ǡ#34405οޤ٤ƤǤ͡
äȤ⡤ϻѷѤݤˡ
­夲ƤĤγѤ򿭤Фѷ;ʬʤΤǤη׻λΰ㤤Ϥ褦Ǥ
ޤͿ줿ˤϤޤ󤬡СϻѷդޤळȤˤʤޤ
ξˤϡդѤ 0 ȹͤΤʤΤǡˤϤʤʤȻפޤ

ʤ#34414ΰ̲
䢤PAB+PBC+PACnߢABC ä顢(3n^2-1)/2 ܤǤ͡
餫Ȥϻפޤ#34421εȤСƱͤˤơP ưϰϤ ϻѷEFGHIJ ǡ
CAAE = CBBF = ABBG = ACCH = BCCI = BAAJ = 2(n-1)
CACE = CBCF = ABAG = ACAH = BCBI = BABJ = 2(n+1)
ABCCEF = 4(n+1)^2ABCAEFB = 4((n+1)^2 - 4)BFGABC = (n-1)^24
ABCAGH = 4(n+1)^2ABCBGHC = 4((n+1)^2 - 4)CHIABC = (n-1)^24
ABCBIJ = 4(n+1)^2ABCCIJA = 4((n+1)^2 - 4)AJEABC = (n-1)^24 ʤΤǡ
ϻѷEFGHIJABC = (((n+1)^2 - 4) + (n-1)^2) * 3 + 4)4 = (6n^2 - 2)4 = (3n^2 - 1)2
顤ޤ͡
ͥνȡ 430ڡ 12:59:17 MAIL:uchi@sco.bekkoame.ne.jp 34422
MathematicaȤ
A(0,a)B(-b,0)C(0,c)֤P(x,y)εפΰƷ׻ޤޤMathematicaȤ󥹤ʤäΤ褹ץǤ֤Ƥޤ͡nϰ̲ѤnǤ
Manipulate[
RegionPlot[
Abs[a x - b y + a b] + Abs[a x + c y - a c] + (b + c) Abs[y] <
n a (b + c), {x,-10,10}, {y,-5,10}], {n,1,5}, {a,0,10}, {b,0,10}, {c,0,10}]
430ڡ 16:04:43 34423
ϺĹ
äȲ򤱤ޤ
äȤȸꡢۤäȤȸ
ޤ
430ڡ 16:44:01 34424
(Keigei)
#34422 uchinyan 󤬽񤫤Ƥ롢
Ϳ줿ˤϤޤ󤬡СϻѷդޤळȤˤʤޤ
դѤ 0 ȹͤΤʤΤǡˤϤʤʤȻפޤ
˻ǡǽ餫ˤ˲򤭤ޤ
ϻѷդˤȡͿ줿ѷդȤαĹˤʤޤ
ˣФȤУ,У£,Уä˻ѷȤʤΤ뤫Ǥ
̩˸ȡͿ줿ѷդȤαĹޤ
430ڡ 19:30:24 34425
ԡʥå¿
˵ܱߤȾ¤ε˻Ƥޤ͡ʲȤʤ
ȡѷ򤦤ޤȤСȤǤ͡
Ƭ餫ʤȻǤϲ򤱤ʤɤǤ
430ڡ 21:01:46 34426

ְ㤨ޤȤʤǰ
ϳͤȤʤǤ
430ڡ 21:28:36 34427
Ҥ
轵ϣ٤ߤʤǤ
ʼ˸ 51ʶ 9:11:44 34428

̣λޤ
http://spitzzzz.web.fc2.com/link1-2.html
λϵ٤ߤ餷ΤǡȤäʤǤ⤷褱в򤤤ƤߤƤ
ܿĻԡ 56ʿ 14:23:01 MAIL:ݣ塥 HomePage:34430
X
GWϳˤäƤޤ夫ե꡼ǡ굢äƤͤޤ
57ڡ 18:48:50 34431

ABCľѻѷˤ顢빽ڤǤ
Ĥζ1/4ܤλѷݤϰϤȤʤ
Τ礭ʻѷȸȡ25/4ܤΤΤä
25/4-1/4*3=22/4=11/2
Ȥʤޤ
58ʶ 10:04:37 34432
ڼ
ï񤤤ƤʤʤΤǡ
#34404
VER.פФޤ
ȽäƤޤ͡
 5.5
͡ 511ʷ 12:09:59 MAIL:iida@ae.keio.ac.jp 34433
Ф
ꤷޤޤñ˲򤫤ʤǡǺǤʤʤ桢ͤä¿Ǥ͡
http://blog.goo.ne.jp/akeot/
ޥ뤵󡣤ĤܤƤ꤬Ȥޤ
511ʷ 22:15:53 34434
Ѥ
#34433
ʤۤɡ

ˤϥեߤ򤷤Ƥ褦ˤޤǤ
֡ 511ʷ 23:11:29 HomePage:֥34435