Taro
ŤΤ˻֤ꤹ
ꣳܤ餤äΤorz
108ڡ 0:05:57 35152
ΤҤܤ
ȬΤ̤ΩΤĺ֤ơäοޤ˿񤭤ࡣ
ƻ˲򤭤ޤ
108ڡ 0:11:33 35153
desyasupe
顦(Τĺΰư)פФޤŤ^^
108ڡ 0:12:09 35154
Taro
(3^5-3)4=60
ΤäϤ
108ڡ 0:14:58 35155

ɤäǤäȤȻפä顢ʬΣȣФǣ
ꤷǤorzܤƤƵŤ٤

http://www.shutoku.org/mondai/q15.htm

#35153ΤҤܤŦΩΤǤ
ޡ 108ڡ 0:15:04 35156
fumio
ФϡӤ춸ääƤޤϤϤϡ
108ڡ 0:24:04 35157
ΤҤܤ

nøΤȤϡ(3^n3)4ǵޤ͡
Taro󡤤꤬Ȥޤ
108ڡ 0:27:07 35158

ޤǤ0
3øޤǽ񤤤ƤȤϤ狼뤫ʡ
ܤ񤯤ȡ̤顢,,,ĤȤơ,,,ȡʣǤŪϡˤȤȡ
1ø塦[,,]
2ø塦¢[,,]Ģ[,,]Ţ[,,]
3ø塦[,,]*3â[,,]*2Ƣ[,,]*2Ȣ[,,ǡ*2
ȤʤꡢȤϡǤ˹Ԥѥ򸫤ФΤǡ
¢2̤ꡢĢ2̤ꡢŢ2̤ꡢǢ3̤ʤΤǡ
3*(2+2+2)=182*(2*2+2*2+2*2)=242*(3*3)=18
äơ60̤ꡣ

ŷϿ͡ 108ڡ 11:09:50 35159
⡼ޥ
Фᤫ鸫ޤο椫顢ФƤʤѤޤǤ2ä4äãͤ롦
Ѥ2äǤ硧2
Ǹ̤Ѥ 3 ١γѤ3ʤΤǡ3*2*3=18
Ѥ4äǤ硧14
3ꤢΤǡ3*14=42
ס42+18=60
...夲褦ʤΤǤ...^^;
108ڡ 0:49:57 35160
Mr.ǥ
ᵦܶ桪ﳲʤФ褤

ѤˤʤäƤΤ˵Ťʤޤ٤Ƥޤä
äꥢ륿ǻäΤˡʵ

[ˡ] PAB()()ܤ̤
QCD()()ܤ̤ɽȤ
()-()--()Υϡ3*3*218̤
()--()-()Υϡ3*2*318̤
()---()Υϡ3*2*2*224̤
äơ18182460̤ˤȤޤ
108ڡ 1:16:45 35161
(Keigei)
ưλϡ塦岼
ȤäƤ⥢Τ֤ˤä夬ɤ餫
岼ˤĤƤƱ͡
Ǥϡ壳󡦺󡦾岼¤ϡ5!/3!20̤ꡣ
壱󡦺󡦾岼壱󡦺󡦾岼ˤĤƤƱ͡
äơ20360̤ꡣ
108ڡ 6:54:29 35162
Ѥ
ǶῼλӤ˵Ƥޤй˰䡣
ľ籫ʤΤǤ뤤Ǥ

٤礦̤ɤʬƹͤޤ
108ڡ 7:55:57 MAIL:eityans@gmail.com HomePage:֥35163
uchinyan
Ϥˤϡơϡ
򸫤ȤޤǤꤵƤ褦˻פޤ
Ĥޤꡥ

ȬΤγ̤濴򡤾夫鸫ơPAB ȿײ 1234QAB ȿײ 5678 Ȥޤ
ȡϡǽ 1 ˤ륢꤬ 1 äȤΩ 1234-5678 վưȤ
5 ø 7 ˤοˤʤޤ
Ϥ褯ǤΤȤǰƬˤơȤ֤ơ򤭤ޤ

(ˡ1)
˹ͤˡǤ
1 äȤΩΤγĺ˥꤬οϡ1 ٤礦ĺξο¤ˤʤޤ
ɽ񤯤ȡ
ĺ 01 02 03 04 05 06 07 08
00ø 01 00 00 00 00 00 00 00
01ø 00 01 00 01 01 00 00 00
02ø 03 00 02 00 00 02 00 02
03ø 00 07 00 07 07 00 06 00
04ø 21 00 20 00 00 20 00 20
05ø 00 61 00 61 61 00 60 00
ǡ5 øĺ 7 60 ʤΤǡ60 ̤ꡤˤʤޤ

(ˡ2)
ΩΤ 1-2 ΰư a1-4 ΰư b1-5 ΰư c Ȥȡ
5 øΰư abc ʣ 5 ¤٤ΤƱǤ
ƱΰưϡɬԤääƤʤΤǡ㤨Сa 2 󤢤ϰưʤΤƱˤʤޤ
ĺ 7 ˻ˤϡιԤääƤޤ abc 1 󤺤Ĥˤʤޤ
ºݤˤϡ5 øʤΤǡԤääƤ򤹤롤aaabc abbbc abccc
Τ줫¤٤뤳Ȥˤʤޤ
餫ˤ줾ξοƱǡΤΡ㤨Сaaabc ϡ5!/3!1!1! = 20 ̤ꡤʤΤǡ
οϡ20 * 3 = 60 ̤ꡤˤʤޤ
ʤaaabc ¤ϡޤĤξ꤫ a ¤٤뻰Ĥ֤ȹͤơ5C3 = 30 ̤ꡤǤ⤤Ǥ͡

(ˡ3)
(ˡ1)ɽ񤤤Ƥߤʬޤ̤ˡn øˤơΤȤʬޤ
ΤΰưξοϡäȤ 3 ̤ 3^n ̤ꡣ
n ξ
ĺ 2457 ϡ0 ̤ꡣ
ĺ 368 ϡоꡤƱ
ĺ 1 ϡĺ 368 Τ줾 1 ¿
n ξ
ĺ 1368 ϡ0 ̤ꡣ
ĺ 245 ϡоꡤƱ
ĺ 7 ϡĺ 245 Τ줾 1 ʤ
ǡ5 ø 7 ϡ(3^5 - 3)/4 = 240/4 = 60 ̤ꡤˤʤޤ
긷̩ˤϡŪǼˡȤΩƤƲ򤱤ФǤؤˤʤäƤޤΤǡάޤ
ͥνȡ 108ڡ 13:22:14 MAIL:uchi@sco.bekkoame.ne.jp 35164
uchinyan
ǼĤɤߤޤϤꡤ˿Ƥޤ͡

#35153#35156#35164(ˡ1)#35166#35167
ȬΤ̤ΩΤĺ֤ơäοޤ˿񤭤ࡣ
ȤˡΩΤ֤ƹͤ뤫ɤϤȤ⤫βˡǤ

#35155#35158#35164(ˡ3)
#35164(ˡ3)Ǽ§ˡ

#35159
ޤˤˡ
ȤϤäƤ⡤ºݤˤ 3 øޤǤޤĴ١ 2 äϡ3 øΰ֤Ṳ̄ޤǹԤοơ
ݤ­夲Ƥ褦Ǥ

#35160
QCD ٤礦̤ˡ2 ä硤4 äơ­夲ˡ
¤ϡˤȽʣƤޤޤޤȤ̯ˤȤʣʤ褦˿Ƥ褦Ǥ
¿ʬQCD Ȥ٤礦̤ȤǡԤꤹ뤫ʤǾʬȤΤʵޤ

#35161
PAB٤礦̡QCD٤礦̡ΰưĴ١ԤλǾʬƿˡ

#35162#35164(ˡ2)
̤ΰư塦岼Τ줾ˤưĤǡ5 äṲ̄ˤˤϰԤ꤬ɬס
ȤȤˡ

#35163
亣٤礦̤ɤʬƹͤޤ
Ȥˡ
ܺ٤ǤݡȤȡ#35164(ˡ3)Ǽ§Ȥˡ˶ᤤΤ⤷ޤ
ͥνȡ 109ʶ 11:04:01 MAIL:uchi@sco.bekkoame.ne.jp 35165
apato
ǡ1äȤ̤ξο񤭹ߤޤ빽ɤ衢졣
108ڡ 17:10:45 35166
apato
uchinyan󡢤Ĥܤ򤢤꤬Ȥޤ(#35164,#35165#35166ɲä򤵤Ƥޤޤø˽μ̤1̤ꡣ2ø˽̤3̤ꡢ̤μ̤2̤ꡣ3ø˽̤μ̤7̤ꡢ̤6̤ꡣ4ø˽̤21̤ꡢ̤μ̤20̤ꡣǸˡ̤μ̤ξο­碌20202060Ȥʤޤʤ#35146ǡߡͤŦΤ褦ˡ۾˥¿Ǥ͡#35147ΤФͤΤ褦ͳǤȤäƤ⤦줷Ǥ

εĮ 1012ʷ 16:29:56 35167
uchinyan
#35167
apato󡤾ܤ򤢤꤬Ȥޤ

Τˡ轵դ꤫顤ޤǤ٤ư۾¿ʤޤ͡
쥵Ȥο͵夬äȡ˴ӤǤ ^^/
۹ͫȤϻפޤեȥܥåȤȤ餫ΥåȤͫθ٤ȤǤ
ͥνȡ 109ʶ 11:16:10 MAIL:uchi@sco.bekkoame.ne.jp 35169
hide
ޤ鴶뤱ɡʬν񤤤ȤˤĤơ

ɤܤǡm/nѷפȤΤȤƤΤǡ줬ΤΤȴ㤤Ƥޤ
Ⱦ£αߤܤm/nѷȤ
Ⱦ£αߤܤmѷĺmĤnĤ˷ӤǤ޷Τȡ
Ȥ5/2ѷʤΤȤǤ
109ʶ 15:53:52 35170
uchinyan
#35170
Ⱦ£αߤܤm/nѷȤ
Ⱦ£αߤܤmѷĺmĤnĤ˷ӤǤ޷Τȡ
䤿Ȥ5/2ѷʤΤȤǤ
ʤۤɡΤޤǤٶˤʤޤ
Ȥ顤褯򤷤ƤʤΤǴ㤤Ƥ뤫⤷ޤ (^^
(m/nѷ)
= 1/2 * 1 * sin((m - 2n)/2m * )/sin((m + 2n - 2)/2m * ) * sin(1/m * ) * 2 * m
=
= m * sin(/m)cos(n/m)/cos((n-1)/m)
= (mѷ) * cos(n/m)/cos(/m)cos((n-1)/m)
ǤϤʤΤʤ
ͥνȡ 109ʶ 17:31:49 MAIL:uchi@sco.bekkoame.ne.jp 35171
hide
μ򸡾Ǥġ
m/nѷפȤΤϸǤϤʤ⤷ʤΤ׳ǧǤ
109ʶ 17:35:04 35172
R.UFO
򤫤ä

ҤȤĤĤäƤäΤǤѤä
1010ڡ 9:43:39 MAIL:keelzonker@yahoo.co.jp 35173
hide
#35171
μ5/2ѷdzΤƤߤޤ̯˰äƤޤ
ʤ⤷׻ְ㤤򤷤Ƥ褦ǤФޤ
Ǥ
1/2 * 1 * sin((m - 2n)/2m * )/sin((m + 2n - 2)/2m * ) * sin(1/m * ) * 2 * m
μɤäΩƤΤƤǤ

ʬη׻Ƿ׻ְ㤤򤷤Ƥ褦ʤΤǡޤ

mѷ٤礦ĺA,BȤm/nѷ(=2mѷ)ĺΤABδ֤ΤΤCȤ롣
Ⱦ£αߤ濴OȤ뤷OCĹABȤθDȤODABȤʤ롣
mѷm/nѷOD:OCȤʤ롣
ǡOAD=(m-2)/2mCOD=(n-1)/mʤΤǡ
OD:OC=tan((m-2)/2m):(1-tan((n-1)/m)
(m/nѷ)=(mѷ)*(1-tan((n-1)/m)/tan((m-2)/2m)
1010ڡ 12:43:31 35174
???
Option Explicit
'1:PAB,2:PBC,3:PCD,4:PDA,5:QAB,6:QBC,7:QCD,8:QDA
Dim a(5) As Integer
Sub Macro1()
Sheets("Sheet1").Select
Cells(1, 1).Value = 0
a(0) = 1
Call saiki(1)
Range("A1").Select
End Sub
Sub saiki(ByVal n As Integer)
Dim j As Integer
a(n) = 1
While a(n) <= 8
If QX(n) Then
If n < 5 Then
Call saiki(n + 1)
ElseIf a(5) = 7 Then
Cells(1, 1).Value = Cells(1, 1).Value + 1
For j = 0 To 5
Cells(Cells(1, 1).Value, j + 2).Value = a(j)
Next j
Range("B" & Cells(1, 1).Value).Select
End If
End If
a(n) = a(n) + 1
Wend
End Sub
Private Function QX(ByVal n As Integer) As Integer
' 1 2 3 4 5 6 7 8
'1 0 1 0 1 1 0 0 0
'2 1 0 1 0 0 1 0 0
'3 0 1 0 1 0 0 1 0
'4 1 0 1 0 0 0 0 1
'5 1 0 0 0 0 1 0 1
'6 0 1 0 0 1 0 1 0
'7 0 0 1 0 0 1 0 1
'8 0 0 0 1 1 0 1 0
Select Case a(n - 1)
Case 1
QX = -(a(n) = 2 Or a(n) = 4 Or a(n) = 5)
Case 2
QX = -(a(n) = 1 Or a(n) = 3 Or a(n) = 6)
Case 3
QX = -(a(n) = 2 Or a(n) = 4 Or a(n) = 7)
Case 4
QX = -(a(n) = 1 Or a(n) = 3 Or a(n) = 8)
Case 5
QX = -(a(n) = 1 Or a(n) = 6 Or a(n) = 8)
Case 6
QX = -(a(n) = 2 Or a(n) = 5 Or a(n) = 7)
Case 7
QX = -(a(n) = 3 Or a(n) = 6 Or a(n) = 8)
Case Else
QX = -(a(n) = 4 Or a(n) = 5 Or a(n) = 7)
End Select
End Function
1010ڡ 14:28:04 35175
ߤ
ƻϣäȤ˽񤭹ǤΤ֤Ǥ͡
ִط̣У¤ȡդܤסĺΤߤܤסܤʤפ
Ĥ˷׻䤹褦ˤƤȡ

ΩΤĺ֤Ʒ׻­碌ְ㤤ˤƤǤ͡
1010ڡ 17:13:52 35176
ߡ
٤Фʤ顣
ΩΤˤΤȤơ
ưͤޤ
¤Ӥ20ߣ60Ǥ͡

ǤäƳΤϡˣ̤ΰưꡤ
ܤϽȯ¾̤꣱¿(Ȥ21202020Ȥ)
ܤϽȯȿ¦̤꾯ʤ(ȤȤ)
ˤʤޤ

ФƤȤǤ͡
ƤȤ(Σݣ)ࣴǤ褫äΤġ
1010ڡ 17:22:30 35177
uchinyan
#35174
ȡƱˡȡm/nѷоꡤ
(m/nѷ) = OAC * 2 * m
ơ0 < n < m/2 ǹͤƤΤǡ
AOC = /mOAC = (m - 2n)/2mOCA = (m + 2n - 2)/2m
OA = 1
OAC ˤꡤ
OA/sin(OCA) = OC/sin(OAC)
1/sin((m + 2n - 2)/2m) = OC/sin((m - 2n)/2m)
OC = sin((m - 2n)/2m)/sin((m + 2n - 2)/2m)
ǡ
OAC = 1/2 * OA * OC * sin(AOC) = 1/2 * 1 * sin((m - 2n)/2m)/sin((m + 2n - 2)/2m) * sin(/m)
ϡ#35171ΤȤǤ
ޤκϡ5/2ѷǤƱʤΤǡפȻפޤ
ʤn = 1 ξϡmѷ˰פϤǤ
μ
(m/nѷ) = (mѷ) * cos(n/m)/cos(/m)cos((n-1)/m)
Ǥϡ
cos(1 * /m)/cos(/m)cos((1-1)/m) = cos(/m)/cos(/m)cos(0) = 1
ǡOKǤ
hideμ
亣mѷm/nѷOD:OCȤʤ롣
OD:OC=tan((m-2)/2m):(1-tan((n-1)/m)
(m/nѷ)=(mѷ)*(1-tan((n-1)/m)/tan((m-2)/2m)
Ǹμϳ̡)פȴƤޤϡhideС
(m/nѷ)=(mѷ)*(1-tan((n-1)/m))/tan((m-2)/2m)
Υϥǡȡ
(1-tan((1-1)/m))/tan((m-2)/2m) = 1/tan((m-2)/2m)
Ȥʤꡤ餫ˤǤ
OD:OC=tan((m-2)/2m):(1-tan((n-1)/m)
ΤǤϤʤʡȻפޤ¿ʬ
OD:OC=tan((m-2)/2m):(tan((m-2)/2m)-tan((n-1)/m)
ǡ
(m/nѷ)=(mѷ)*(1-tan((n-1)/m)/tan((m-2)/2m))
Ǥ礦
ʤСη̤Ȱפޤ
ͥνȡ 1010ڡ 19:42:10 MAIL:uchi@sco.bekkoame.ne.jp 35178
粬ҹ
פ֤ޤΤγĺưΤȤƹͤޤ
øȤ줫飳øΣĤʬƷ׻ߣߣܣߣ᣶
ʤʤɤˡФƤʤʤޤʡ
1011 17:43:54 35180
apato
#35178򡢤⤦ŪޤǼĤˤʤäƤѷǤ5ѷͤޤѷϡ߼򣳣ǹǤäơ˷ΤǤ߼Ȥ濴Ѥϡ360ࣵᣱǤäƤȡ2žǤԤäŤʤޤȤ櫓ǡΥԥ饹ϤȤʤޤƱ褦32ѷѷȤʤޤʤϥ꡼ݥåǡ4ʬ3ȤΤФƤޤԲǽǤʾС˥ϥ꡼ݥå⺤ǤǤ礦͡
εĮ 1012ʷ 17:39:33 35181
hide
uchinyan
ޤ󡣷׻ְ㤤򤷤ƤޤäƤ褦Ǥ͡ġġ
θäuchinyan
OD:OC=tan((m-2)/2m):(tan((m-2)/2m)-tan((n-1)/m)
ǡ
(m/nѷ)=(mѷ)*(1-tan((n-1)/m)/tan((m-2)/2m))
μǹäƤޤ

apato
꤬Ȥޤ
Τm/1ѷȡm/(m-1)ѷmѷˤʤޤ
1012ʷ 8:29:32 35182
ѥ&10ﶥ
#35181 94ʬ3ץåȥۡγ碌ѥͭꡣ
java appletѤǤjava¤򤵤Ƥȳޤ

http://www.geocities.jp/tsuyoshik1942/eawase.html 03Ǥ
ܼŪ˴طʤȤǤʤ
1012ʷ 13:11:14 HomePage:ѥ&10ﶥ35184
apato
#35184碌ѥ롢äƤߤޤμϡԥ塼˲򤫤뤳ȤǤȴŤƼʬǹͤ٤ƥԥ塼ˤ餻ޤ󡪡ѥ10ﶥ󡪡--ˣפΤΤϡʬǹͤ뤳ȤڤȻפΤǡʿͤΤȸäƤ礸ʤˤĤäͤƤߤȻפޤƤޤ󡦡
εĮ 1012ʷ 17:33:39 35185
apato
666ȤܤǤ͡ǤȤޤĴҤ1000ޤ³Ƥ͡
εĮ 1012ʷ 17:36:16 35186
uchinyan
#35182
Τm/1ѷȡm/(m-1)ѷmѷˤʤޤ
̤ˡm/nѷm/(m-n)ѷƱΤˤʤ褦Ǥ͡
ʤm > n > m/2 ξϡ2n/m > դơƱͤη׻򤹤ȡ
AOC = /mOAC = (2n - m)/2mOCA = (3m - 2n - 2)/2m
OAC = 1/2 * OA * OC * sin(AOC) = 1/2 * 1 * sin((2n - m)/2m)/sin((3m - 2n - 2)/2m) * sin(/m)
(m/nѷ) = (mѷ) * cos(n/m)/cos(/m)cos((n+1)/m)
Ȥʤޤϰ츫äƸޤ
cos(n/m) = cos((m - (m - n))/m) = - cos((m - n)/m)
cos((n+1)/m) = cos((m - ((m - n) - 1))/m) = - cos(((m - n) - 1)/m)

(m/nѷ) = (mѷ) * cos((m - n)/m)/cos(/m)cos(((m - n) - 1)/m) = (m/(m-n)ѷ)
ȤʤäơĤĤޤϹäƤ褦Ǥ
ͥνȡ 1013ʲС 11:10:53 MAIL:uchi@sco.bekkoame.ne.jp 35187

ʤΤʡ
ܿĻԡ 1014ʿ 18:55:07 MAIL:dice-k[at]onyx.ocn.ne.jp HomePage:35188
apato
4ʬ˽Ф٤ڤߤǤ2Ϣ³򤷤ΤǡϤɤ
εĮ 1014ʿ 23:57:35 35189
apato
#35188äȤǤ礦
εĮ 1014ʿ 23:58:59 35190