ߡ
ʤǾʿܤξˤĤưͻȤΤǡġ
褫ƥåǤ
312ڡ 0:06:04 MAIL:amimorisama@hotmail.com 34068
Ϥʤ
ǰʽ٤orz

ǸΰޤǤιפǾ櫓ơ
1*2 + 2*3 + 4*4 + 8*5 + 16*6 + 32*7 + 1Ǥ
312ڡ 0:08:08 34069
㡼ߡ
ǯΥ󥿡ͥǤ͡
ߤĤ֤褦Ȥ ¿ ¤ 7 ʬ n
Ѥơǽ 1 Ǿʬ
ȹͤޤ빽񤷤ȻפäΤǤġ
Ȥ礦Ȥ䤯 312ڡ 0:12:32 MAIL:kakuromaster@star.cims.jp 34071
Taro
¤ʬޤ

13ǽΤ32̤
12ǽΤ32+16̤
11ǽΤ32+16+8̤
10ǽΤ32+16+8+4̤
9ǽΤ32+16+8+4+2̤
8ǽΤ32+16+8+4+2+1̤
7ǽΤ64̤

385̤ꡣޤȤ­Ƥޤݤorz
ԤΤϤ졡 312ڡ 0:13:09 34072

£ѻ椤äѤˤΤ®ǽ񤭤ʤޤ

ǽ硡ġ̤
ǽ硡ܤξˤäơ줾Ȥƹͤο
Ƿף̤
ǽ硡ܤޤǤʲˤʤɬפΤ
ܤޤǤ¤ˤʤΤ̤꤫
Ĵ١ΤȤϾΣǽήѤޤ

Ʊͤˡǽ硡ǽ硡ǽ硡ǽ
Ĵ٤ޤ
׻Ǥ⡢ʤȤ̰줿Τ­
ޡ 312ڡ 0:14:08 34073
SUPER SPECIAL SEMTEX
Ǹ夫2ܤޤǤο¤Ǿʬޤ
ȯǽΤ­Ƥʤä
ʥΤ 312ڡ 0:14:24 34074
ߡ
ԣΤȷƱǤ64ߣݣ32ȹͤդʬڤ˷׻Ǥޤ
312ڡ 0:17:14 MAIL:amimorisama@hotmail.com 34075
CRYING DOLPHIN
Ƚλľ654321κϡ줾
32168421̤(㤨6ʤ˻ڤ륤᡼)
ǡ6543217ʾˤƺȽλˤˡϤ줾
765432̤(㤨ľ1ʤ顢67ФʤȺȽλǤʤ)
ƤȤ32716685442312384̤
äȡʤü7ФΤ˺줺ˡ3841385̤ꡣ

ࡢñʤΤ񤷤Τ狼ġ

#פä񤭥ߥäƤΤǽʤǤ褯Ǥ...
ï⤤ʤԳϡ 312ڡ 0:27:41 HomePage:ȤƻȤ34076

¤1ˤʤΤ1̤ꡢ¤2ˤʤΤ2̤
¤3ˤʤͤ롣
ʤ3¤2ξ֤1¤1ξ֤2礬ͤ롣
äơ1+1+24(̤)Ȥʤ롣
Ʊͤ˹ͤƤȡ
41+1+2+48(̤)
51+1+2+4+816(̤)
632̤
764̤
7ˤʤӽƤʤȤʤ
81+2+4+8+16+3263(̤)
92+4+8+16+3262(̤)
1060̤
1156̤
1248̤
1332̤
äơƤο¤
64+63+62+60+56+48+32385(̤)Ǥ롣

եܥʥå˻Ƥʡ
312ڡ 0:21:20 34077
ߤ
#34069ʤϤʤˤΤȰǤɤϣȻפ
äƥͥˤʤäƤ뤳Ȥ¿ʤȸ
312ڡ 0:23:08 34078

1ȯܤ71̤
ȡƱͤˡ6,5,4,3,2,1ȹͤȡ+Ȥʤ롣ά
­ְ㤨ơסOTL
1+7+13+25+49+97+193385
©ꡡ 312ڡ 0:56:02 34079
Ȥ
Υ2ĤȤ
385̤󤹤뽽basicΥɤˤޤ

for a=1 to 7
if a=>7 then print a
for b=1 to 7
if a+b=>7 and a<7 then print a;b
for c=1 to 7
if a+b+c=>7 and a+b<7 then print a;b;c
for d=1 to 7
if a+b+c+d=>7 and a+b+c<7 then print a;b;c;d
for e=1 to 7
if a+b+c+d+e=>7 and a+b+c+d<7 then print a;b;c;d;e
for f=1 to 7
if a+b+c+d+e+f=>7 and a+b+c+d+e<7 then print a;b;c;d;e;f
for g=1 to 7
if a+b+c+d+e+f+g=>7 and a+b+c+d+e+f<7 then print a;b;c;d;e;f;g
10 next g
20 next f
30 next e
40 next d
50 next c
60 next b
70 next a
end
˭ԡ 312ڡ 1:56:26 MAIL:fttnm528@ybb.ne.jp 34082
Mr.ǥ
#34076 CRYING DOLPHINƱˡǤ

ߤˡ¤(7)ˤʤοפϡڤ (n-1)0(n-1)2ܡ(n-1)(n-1)
̤Ȥʤޤ(11)^(-1)ŸΤƱ 2^(n-1) ̤ȤʤǤ͡

򤤤äơȯŸͤƤߤޤˤĤ֤ˤɡʤʤ٤إץǡ

[ȯŸ] ʬƱʣΣĤζ̤ФˤǤʾ11ʾѤ
Τ褦ˤФɤʤǤ礦
ֿιפ11ʾ11ޤߤޤˤˤʤޤǷ֤ޤ
ΤȤ˽񤫤줿ϲ̤ͤǤ礦

312ڡ 9:28:53 34084
abcba@jugglermoka
ǽ˻פĤ#34079ƱʤΤǤ
ܤˤɤ櫓̤15Ⱦɤߴְ㤨253
ܡ7Ȥ­˺384Ʒ
3ܤ򤷤ޤϢ³ȯϿפ֤˻ߤƤޤޤ
312ڡ 9:13:03 34085
???
ǽְ㤨ƶ̤򸵤ᤵʤȤƤޤޤƤƤϤʤ
Option Explicit
Dim a(7) As Integer
Sub Macro1()
Cells(1, 1).Value = 0
Call saiki(1)
Range("A1").Select
End Sub
Sub saiki(ByVal n As Integer)
Dim wa As Integer
Dim j As Integer
a(n) = 1
While a(n) <= 7
wa = 0
For j = 1 To n
wa = wa + a(j)
Next j
If wa < 7 Then
Call saiki(n + 1)
Else
Cells(1, 1).Value = Cells(1, 1).Value + 1
For j = 1 To n
Cells(Cells(1, 1).Value, j + 1).Value = a(j)
Next j
Range("B" & Cells(1, 1).Value).Select
End If
a(n) = a(n) + 1
Wend
End Sub
312ڡ 9:29:49 34086
̤ꤹ
ExcelVBAǤäƤߤޤ

Option Explicit

Public Sub test()
Dim count As Integer
TakeOut 0, count
Cells(1, 1).Value = count
End Sub
Private Sub TakeOut(total As Integer, count As Integer)
If total >= 7 Then
count = count + 1
Else
Dim i As Integer
For i = 1 To 7
TakeOut total + i, count
Next
End If
End Sub
312ڡ 9:39:16 34087
takumi
ޤǤιפˤʤιפĶοɽޤ
ϤȣǣĶΤǣ᣷Ʊͤˣܣܣܣ....ܣ....ܣܣȤʤꡡ
312ڡ 9:45:51 34088
uchinyan
Ϥˤϡơϡ
ī򸫤ơǤǤʡפȻפäΤǤäơФ餯֤Ť׾֤Ǥ (^^;

ޤǤ¤ n Ǥθ˲ФƤ¤ 7 ʾˤʤο a(n) ̤Ȥޤ
ȡΤ a(0) Ǥơ
a(6) ϡ1 7 Τɤ줫ФФΤǡa(6) = 7 ̤ꡣ
a(5) ϡ1 ФƸ a(6) ˤʤ뤫2 7 ФФΤǡa(5) = a(6) + 6 = 13 ̤ꡣ
a(4) ϡ1 ФƸ a(5) ˤʤ뤫2 ФƸ a(6) ˤʤ뤫3 7 ФФΤǡ
a(4) = a(6) + a(5) + 5 = 25 ̤ꡣ
Ʊͤˤơ
a(3) = a(6) + a(5) + a(4) + 4 = 49 ̤ꡣ
a(2) = a(6) + a(5) + a(4) + a(3) + 3 = 97 ̤ꡣ
a(1) = a(6) + a(5) + a(4) + a(3) + a(2) + 2 = 193 ̤ꡣ
a(0) = a(6) + a(5) + a(4) + a(3) + a(2) + a(1) + 1 = 385 ̤ꡣ
ǡϡ385 ̤ꡤˤʤޤ

ؤˤʤޤ¤Ͼ򤤤ȡ
a(n-1) = 2 * a(n) - 1
ȤʤäƤޤ7 n ֤ơĤȿФ a(0) ˤĤƲ򤯤ȡa(n-1) = n ʤΤǡ
a(0) = 2^(n-1) * (n - 1) + 1
ˤʤޤ
Ǥn = 7 ǡa(0) = 2^6 * (7 - 1) + 1 = 64 * 6 + 1 = 385 ȤʤäơƸޤ
ͥνȡ 312ڡ 12:20:51 MAIL:uchi@sco.bekkoame.ne.jp 34089
uchinyan
ǼĤɤߤޤʲˡޤ͡

#34068
ʤǾʿܤξˤĤưͻȤΤǡġ
ȤΤȡŪʲˡ#34072

#34069#34074#34076#34078#34084
ǸΰޤǤιפǾ櫓ˡ

#34071#34088#34089
ˤˡ

#34072#34077
Ƚλ¤Ǿʬˡ

#34073
ǽ뤫Ǿʬˡ

#34079#34079
ǽ˽ФǾʬˡ

#34082#34086#34087
ץˤˡ
ͥνȡ 312ڡ 13:28:13 MAIL:uchi@sco.bekkoame.ne.jp 34090
uchinyan
#34084
6073 Ǥ礦
ͥνȡ 312ڡ 14:32:50 MAIL:uchi@sco.bekkoame.ne.jp 34091
̾
äȲ򤱤ޤ׻ߥޤäΤǡޤǻ֤ޤ

ˡϡǸΰޤǤιפǾʬ򤹤ȤˡǤ
Ƭǹͤ褦ȤΤԤǤ

ڥԥ󳦡 312ڡ 17:43:30 34092
̾
#34084 䤳Ǥ͡
ڥԥ󳦡 312ڡ 17:45:34 34093

#34073ȤۤƱǤ
312ڡ 18:52:04 34094
ϥ饮㡼ƥ
٤ʤޤ

ץǤ
312ڡ 19:30:19 HomePage:湩ؤ˥34095
Ѥ
轵ϥꥢ륿ǻäǤΤǤ򤱤ޤǤ̵ǰ
ϥꥢ륿ǻäǤޤǤ̵ǰ
֡ 312ڡ 21:16:09 HomePage:34096
ϺĹ
Ҥ3֡2֡äȲ򤱤
ζϫΤȤ򸫤Ƥ餤
򤯤ʤƥۥȡ˴ޤ
312ڡ 21:33:32 34097
ޥ
ˤϡ죳ΤۤΥ󥭥ɽˤĤΤäƤ뾮أǯΥޥǤޤDz⼺Ԥʤ顢Ҥĥޤ
312ڡ 22:12:08 34098
Mr.ǥ
#34091
uchinyan[ȯŸ]˼ȤǤͭ񤦤ޤ
ȤꤷƤ͡6073ˤƱǤ
ʤ⤷СˡΤۤꤤޤ
313ʶ 7:18:21 34099
ϺĹ
˶줷ߤޤ¾ˤƱ褦ʤȤޤޤ1ǹ7ʾˤʤ롢27ʾˤʤʤĤޤ1ܤ6ʲˡ37ʾˤʤʤĤޤ2פ6ʲˡ47ʾˤʤ3פ6ʲˡƱͤ˭ʬޤ
1ܤ7ФʤΤ1̤ꡢ1ܤλ2ܤ6ʾʣ뤤ϣˤ2̤ꡢ1ܤ2λ2ܤ5ʾ3̤ꡦʬƹԤäƹ27̤ꡢϹ85̤ꡢ125̤ꡢ99̤ꡢ41̤ꡢ7̤ꡢ385̤ȤʤޤȤ׻㤤371ˤʤ餺3֤餤ͤߤޤ򤱤򤷤礭ǤǤʤˤ䤳ȸ̤ޤ
Ǥ͡Ҥ鴶!!!!!!!!!!!ޤ
313ʶ 8:58:38 34100
Ҥ
ΤȤ˹ͤޤ
ġ̤
ġ̤
ġܡߡᡡ(̤)
ġܡߡᡡ(̤)
ġܡߡᡡ(̤)
ġܡߡᡡ(̤)
ġܡߡᡡ(̤)
ä(̤)Ǹˣ(̤)ʬ롢
ȹͤޤ
ʼ˸ 313ʶ 9:08:40 34101
(Keigei)
abcdefpqrstu ǡ
a,b,c,d,e,f϶ڤ뤫ʤ2^6=64̤ꡢ
p,q,r,s,t,uϤǽλ뤫ɤ6̤ꡢ
ݤ384̤ꡢǽ餫飷Фä385̤ꡣ
313ʶ 10:04:18 34102
⡼ޥ
#34084 Mr.ǥ

11=4+7 顢
410ޤǤͤ롣
48*1=8
516*2=32
632*3=96
764*4=256
8(128-1)*5=6358 ϤʤΤǡ
9(256-2-1)*6=15188,9 ϤʤΤǡ
10(512-2-2-1)*7=35498,9,10 ϤʤΤǡ
=5094

ɤ
313ʶ 10:32:32 34103
⡼ޥ
#34102
ʤۤɢ
^^v
313ʶ 11:27:30 34104
uchinyan
#34099
ȤꤷƤ͡6073ˤƱǤ
ƱˤʤäƤ褫äǤ ^^

ʤ⤷СˡΤۤꤤޤ
ĤˡDz򤭡ܦdzǧޤ

ܤβˡϡ#34089ƱǤ
ޤǤ¤ n Ǥθ˲ФƤ¤ 11 ʾˤʤο a(n) ̤Ȥޤ
ȡۤȤƱ褦ˤơ
a(10) = 7
a(9) = a(10) + 6 = 13
a(8) = a(10) + a(9) + 5 = 2 * a(9) - 1 = 25
a(7) = a(10) + a(9) + a(8) + 4 = 2 * a(8) - 1 = 49
a(6) = a(10) + a(9) + a(8) + a(7) + 3 = 2 * a(7) - 1 = 97
a(5) = a(10) + a(9) + a(8) + a(7) + a(6) + 2 = 2 * a(6) - 1 = 193
a(4) = a(10) + a(9) + a(8) + a(7) + a(6) + a(5) + 1 = 2 * a(5) - 1 = 385
a(3) = a(10) + a(9) + a(8) + a(7) + a(6) + a(5) + a(4) = 2 * a(4) - 1 = 769
a(2) = a(9) + a(8) + a(7) + a(6) + a(5) + a(4) + a(3) = 2 * a(3) - a(10) = 2 * 769 - 7 = 1531
a(1) = a(8) + a(7) + a(6) + a(5) + a(4) + a(3) + a(2) = 2 * a(2) - a(9) = 2 * 1531 - 13 = 3049
a(0) = a(7) + a(6) + a(5) + a(4) + a(3) + a(2) + a(1) = 2 * a(1) - a(8) = 2 * 3049 - 25 = 6073
Τ a(0) ʤΤǡ6073 ̤ꡤǤ

ܤϡMr.ǥCRYING DOLPHINƱ11 ʾˤʤ¤ͤˡǤ
¤ϡ10, 9, 8, 7, 6, 5, 4 Ǥ
108, 9, 10 ζ̤ 2^9 ̤Ǥ10 Ȥ 1 ̤ꡤ9 Ȥ 2 ̤ꡤ8 Ȥ 5 ̤Τǡ
2^9 - (1 + 2 + 5) = 512 - 8 = 504 ̤ꡣ
9Ʊͤˤơ2^8 - (1 + 2) = 256 - 3 = 253 ̤ꡣ
82^7 - 1 = 128 - 1 = 127 ̤ꡣ
7ʹߤϽΤϤʤΤǡ2^6 = 64 ̤ꡣ
62^5 = 32 ̤ꡣ
52^4 = 16 ̤ꡣ
42^3 = 8 ̤ꡣ
ǡ
504 * 7 + 253 * 6 + 127 * 5 + 64 * 4 + 32 * 3 + 16 * 2 + 8 * 1
= 3528 + 1518 + 635 + 256 + 96 + 32 + 8
= 6073 ̤ꡣ

ܦϡץǤֶإץפȤޤǧΤ˻Ȥޤ
Ϥꡤ6073 ̤ˤʤޤ
ͥνȡ 313ʶ 11:28:31 MAIL:uchi@sco.bekkoame.ne.jp 34105
uchinyan
#34103
10(512-2-2-1)*7=35498,9,10 ϤʤΤǡ
Ǥ͡
10 10 Τ 1 ̤ꡤ9 10 ĤΤ 10 = 1 + 9 = 9 + 1 2 ̤Ǥ
8 10 Τϡ10 = 2 + 8 = 1 + 1 + 8 = 1 + 8 + 1 = 8 + 1 + 1 = 8 + 2 5 ̤Ǥ
=5094
ĤǤ­⤪
ͥνȡ 313ʶ 12:46:24 MAIL:uchi@sco.bekkoame.ne.jp 34106
uchinyan
#34102
ʤۤɡϤޤʤ
#34089
a(0) = 2^(n-1) * (n - 1) + 1
򡤸˼Ƥޤ͡
ͥνȡ 313ʶ 11:44:30 MAIL:uchi@sco.bekkoame.ne.jp 34107
(Keigei)
#34102Կڤˤ⤫餺⡼ޥ󤵤uchinyan
ɾĺͭ񤦤ޤ
313ʶ 13:25:02 34108
⡼ޥ
#34106 uchinyan
꤬Ȥޤ m(_ _)m
錄λθ­Ǥ...^^;
313ʶ 14:50:04 34109
Ҥ
̤οˤʬɤäΤǤ礦
313ʶ 17:04:33 MAIL:honda@toku-souken.jpn.org 34110
ֿء׾ι
ˤäơץߥ󥰰ߤɷ㤵ޤΤǡ錄⣱ġ
ƵƤӽФȤäƤߤޤ

def sansu638(K){
N=0;
if(K==7){return 1;} else{ for (I=1;I<=7;I++){if(K+I>=7){N++;}
else N+=sansu638(K+I);}}
return N;
}
Ƥơsansu638(0); ¹Ԥޤ

ʬϡk==7פȡK+I<=7פ711ѤȽФޤ
313ʶ 17:15:36 34111
̾
#34098
ޤǤ
ڥԥ󳦡 313ʶ 20:26:06 34112
Mr.ǥ
#34109 ⡼ޥ󤵤󡡼ȤǤͭ񤦤ޤ
uchinyan󤬤ŦΤȤǤΥߥ ۤȤɽƤˤäǤ͡

#34105 uchinyan
̤βˡӥץǤΥå ͭ񤦤ޤ
ܤβˡϹͤƤޤǤäȤƤƤǤ͡
ܤϡ11ʾפȤǽʬǤ㤨С16ʾפʤɤȤʤݤˤʤꤽǤ͡

ˡϼΤ褦ʤΤǤ

17ο­Ƥäơ٣ˤʤȤξο a(n) Ȥ
a(1)1, a(2)2, a(3)4, a(4)8, a(5)16, a(6)32, a(7)64
n8 ξϡ˲­ͤ
a(n)a(n-7)a(n-6)a(n-5)a(n-4)a(n-3)a(n-2)a(n-1)Ȥʤޤ
ʾ겼ȡa(8)127 , 9ΤȤ a(n)2*a(n-1)a(n-8) Ȥʤޤ

ˤ a(8)127 ,a(9)253 ,a(10)504 ,a(11)1004, a(12)2000, Ȥʤ

¤ nʾ (n8)ˤʤȤξοϡ
a(n-7)*1a(n-6)*2a(n-5)*3a(n-4)*4a(n-3)*5a(n-2)*6a(n-1)*7ǵޤޤ

ä 11ΤȤ顡8*116*232*364*4127*5253*6504*76073Ȥʤޤ
313ʶ 20:56:02 34113
⡼ޥ
#34113 Mr.ǥ
ʤۤɡ

ĹǤ,,,ʤ顦
a(6)*7+a(5)*6+a(4)*5+a(3)*4+a(2)*3+a(1)*2
=32*7+16*6+8*5+4*4+2*3+1*2
=224+96+40+16+6+2
=384
ǽ餬7λ +1 ǡ385ˡϤǤ˽ФƤޤ...ʤʤߤˤ錄⤳ǵޤ...

8ʾλƱͤˡޤǤ¤η׻(+1 ס˵ޤ櫓Ǥ͢

>أ9ΤȤ a(n)2*a(n-1)a(n-8) Ȥʤޤ

狼פƤ m(_ _)m
313ʶ 21:49:08 34114

ääȲ򤱤ޤ򤹤򤱤ʤƤߤʤʡ
313ʶ 23:18:59 34115
Mr.ǥ
#34114 ⡼ޥ󤵤
>أ9ΤȤ a(n)2*a(n-1)a(n-8) Ȥʤޤ 狼פƤ m(_ _)m

n-18 ꡢa(n-1)a(n-8)a(n-7)a(n-6)a(n-5)a(n-4)a(n-3)a(n-2) Ǥ
ܹषơa(n-7)a(n-6)a(n-5)a(n-4)a(n-3)a(n-2)a(n-1)a(n-8) Ȥʤޤ
ä
a(n)a(n-7)a(n-6)a(n-5)a(n-4)a(n-3)a(n-2)a(n-1)
{a(n-7)a(n-6)a(n-5)a(n-4)a(n-3)a(n-2)}a(n-1)
a(n-1)a(n-8) a(n-1)2*a(n-1)a(n-8)

Τ褦ƳޤʤμʤȤ⡡a(n)ͤ׻ǤޤƤȳڤˤʤޤ͡

314ڡ 1:31:04 34116
ߡ
34102ˡְäƤޤ
b,d,tȤʤǤġ

ˤϡޤްפ˱Ǥޤ
314ڡ 12:58:00 34117
(Keigei)
#34102ϡߡŦΤ褦ˡŤʤꡢԷǼĤ뤳ȤǤޤ줿ΤǵʤäΤǤ
褯ͤȡabcdefpqrstu ǡa,b,c,d,e,fǤոĤζڤȡp,q,r,s,t,u齪λ384̤ϡǸ夬ʾˤʤ礬ޤޤ졢פ13ˤʤ礬ȴƤޤ
ȤСa,c,u1,2,9 ǤǸ夬ʾξϽλ򣷤fζڤѤ뤳Ȥǡa,c,ua,c,e,f1,2,2,1,7 ȡ13ΤΤѤޤơȣ̤ϡf6,7 Ǥ
ǤαȤ̤褦ʡ
ܡ 314ڡ 20:52:19 34118
uchinyan
#34117#34118
ࡤΤˤäȤΤ褦Ǥ͡äꤷƤޤ
ͥνȡ 314ڡ 21:40:07 MAIL:uchi@sco.bekkoame.ne.jp 34119
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ʤ󤫺Ƕỻ٤äƤ롣
ڥԥ󳦡 315 13:12:45 34120
⡼ޥ
#34116 Mr.ǥ󡢤꤬Ȥޤ Orz^^
äꤷޤ

#34102 βˡ...
ǧޤ...,,,ޤޤΤ褦Ǥ ^^;

0|6,72^0*2
00|5,6,72^1*3
000|4,5,6,72^2*4
0000|3,4,5,6,72^3*5
00000|2,3,4,5,6,72^4*6
000000|1,2,3,4,5,6,72^5*7
00000002^0

ɤǤˤ褦ˤιפǹͤ뤷ʤ...^^;
ߤޤǤ...Orz...
315 21:31:05 34121

̣λޤ
http://wwwa.dcns.ne.jp/~orienteering/link.html
𤹤ߤޤ
ԣϣХڡΣգң̤ѤΤǡ֥åޡ
äƤϡѹꤤޤ
ܿĻԡ 315 22:42:31 MAIL:-⡥󡥣塥 HomePage:34122
uchinyan
֤줿ΤǡθΡֿؤ餷Ρפ򤤤Ƥߤޤ
ֿؤ餷ΡפȤΤϡǤΤʲܤεҤʤʸϡϤȤ⡤ܭ뤫Ǥ
Ƥ򸫤ȡܭϱѸ졤ܭϿءܭϹ졤Τ褦Ǥ
ܡפȤˡƤϿؤʤΤǤαѤΤ褦ʵӿʤƤޤ
ĿŪˤϤޤƤ褦ˤϻפޤǤ

ܭϡ䤬䡤ơޤǵӿƤꡤ줾줬AB Ĥʬ졤ˡAB ʬƤޤ

ñ˴ۤʤɡ

1
ǡν䡤žˤΥơޤΤ褦Ǥ

A.
n κʤݤѤɾʤɡ¤ϡɾײˡǤ

(A-1)ѤκǾͤꡣΰ̣ͤдñǤ
(A-2)βǤξϡ뼰ѷ˵դʤȶ줷फ⤷ޤ
(A-3)3 ξѤκͤꡣñʤײˡǡդȤäƤФǤޤʬա

B.
ǡžˤΥꡣѥƥӥåȤʤɤФޤ¤ϡΨʤɤꡣ

(B-1)žγΨꡣɸŪȻפޤ
(B-2)(B-1)򤯤ǤŪ
(B-3)ѥƥӥåȤäκγΨꡣ⡤񤷤ʤȻפޤ
(B-4)ǽȤߤʤޤǤΥǡž̤δͤꡣ츫ˤʤޤ褯ɸŪ¤Ǥ

2
ݤªΤˡΥŪǥȤȤ褤ȤơޤΤ褦Ǥ

A.
ȾߤοξꡤȾʬߤξǤơޤȤ̮褯ʬޤǤ
⡤ɸŪȻפޤ

(A-1)ιξϡŪǼˡǤޤäľŪˤǤޤ
(A-2)˴ؤξäȤѷʬȤäѤɾʤɡǤޤ
(A-3)ιξ(A-2)ȤޤϡŪǼˡǤޤϤꡤäľŪˤǤޤ
(A-4)žơʬߤξ̤ˤФǤޤ
(A-5)Ϥꡤʬߤξ(A-4)Ȥäơ̤ˤФǤޤ

B.
üľɤ˸ꤷơ⤦üǻäƻ夲ݤϳؤǤϡơޤ˹פȻפޤ

(B-1)ϥ٥ȥʬꡣŪǤ
(B-2)Ҥΰη tan ꡣ񤷤ϤʤǤͿ줿򤦤ޤȤɬפޤ
(B-3)(B-2)򤤤 cos ꡣɸŪǤ
(B-4)ʬꡣͶƳդƤ뤷񤷤ϤʤǤ¤ϡ(B-5)νǤ
(B-5)ɤȤҤäȤεΥꡣʬˡˤʤޤ(B-4)ΤǴñǤ

ƸƤȡä¤ʤΤ1(A-2)餤Ǥ礦
ϡϤܤ鸫ۤǤϤͤˤϰפäΤǤϤʤǤ礦
ˡºݤλǤϡݥߥ׻ߥǤ
Ǥ⡤ʸϤοͤˤϡ2B.Ͼ񤷤⤷ޤ
2007ǯޤǤϡֿءפȤܤ⤢ꡤʤ񤷤ФƤȻפΤǤǯžΤ褦Ǥ͡
ʸϡϤȤ˼Ȥ̣ǤϡåȤ⤷ޤ

ʤϤȤƤϡ񤷤äȻפޤ
ͥνȡ 317ʲС 17:29:31 MAIL:uchi@sco.bekkoame.ne.jp 34123