鯤ο
1cmѷѤβܤŵ꤫Ȼפäˡʤ롣3+10+13+6+5141+9+515顣
ʿϻѷǤΤˢ夬ФʤΤۤʤ顢⤦ٹͤƤߤ롣
34ڡ 0:15:33 50232
٥륯åĥ
¤ȣãĤ򺸲˱ĹƤȣģŤ򱦾˱ĹʿԻշˡ
ˤǤ111.2ջѷνޤȤƹͤơȾʬˤ345ľѻѷǤơ1.2ǹ⤵0.8Ȥʤޤ
ʿԻշ10.28.8ȤϼϤγƻѷդǵơΤĤʬ׻98.4ˤʤޤ
34ڡ 0:23:58 50233
٥륯åĥ
Ȥꤢ׻ߥʤɤ뤫⤷ʤΤǸƤߤޤ
34ڡ 0:25:03 50234
٥륯åĥ
ޤҤȤܤǤϤʤΤǽޤǤϤޤ͡
34ڡ 0:27:18 50235
٥륯åĥ
ѷѤҤȤĴְäƤޤ
84Ǥޤ
34ڡ 0:34:14 50236
ޥ
ߤޤե֤Τ˺Ƥޤm(_ _)m
𡡡 34ڡ 0:34:40 HomePage:ARENA50237
鯤ο
1cmѷѤβܤŵνߥȻפäơäƤߤ顢ԥꥹȤ˺ܤä顢äѤꤽäΤʡ
θǡ٥륯åĥ򸫤ơͤľƤȤ
34ڡ 0:35:46 50238
ɥȥ
#50238ƱǤ
3:4:5ϤɡɤǷ׻ߥΤġġ
Ȼפä顢ΤĤαη׻
0.4815/2
0.489
ˤƤޤݤä
34ڡ 0:50:51 50239
ޥ
ȤȤϡȤϻѷդĹ˴ؤ餺ޣȿޣƱѤˤʤȤͥʤȤˤ褦ȤơäƤ顢褿Ȥ...ʴǤ
𡡡 34ڡ 0:54:16 HomePage:ARENA50240
̻
2004ǯλ裱ܡˤβǤޤ
ʿҤƶڤäƤȡ
3:4:5λѷޤƤΤ狼ꡢ
Ѥ˼ϤʿԻշѤ
Фޤ

Ȼפޤ
34ڡ 1:00:37 50241
ǯ
ϻѷĹ顢3:4:5λѷڤä
34ڡ 1:00:51 50242
鯤ο
ŵΥ󥸤ʿԻշ˵夵ΤϡפĤޤǤ
ϡˤʤäƤޤޤѤ
34ڡ 1:05:46 50243
̻
#50241 ³

ޣȿޣǡʿΤҤѤޤξ
3:4:5λѷĤʤ룲ջѷꡢ
Τޤ򣳤ĤʿԻշϤ褦ˤʤޤ
ʿԻշȾʬΣջѷǵޤޤ
34ڡ 1:10:59 50244

ǧڤǤʤäΤǤФ餯ǺǤޤ
פڤääƤǤ
轵ΤޤޤǤ͡
ʬʤƿؤDz򤭤ޤ
դޤǤεΥ3Ĥ򤽤줾sinA,sinB,sinC̤ꤺɽǷ֤
sinA=sinC,6sinA=5sinBȤʤޤ
ϻѷѤ¤720٤ʤΤǡA+B+C=360١
äsin2A=-sinB ȤʤsinA=4/5
뻰ѷγ¦3Ĥλѷ¤Ϥɤ75/2sinA
ϻѷѤξ¦λѷ­90sinA
Ѥ90sinA2-75/2sinA2=105sinA=84

ͤβˡٶޤǤäɤޤƤޤˤϤ狼ʤǤ
34ڡ 1:41:39 50245
Ȥ
ʣǼѷƴˤƤ(ˤʤǤʤ!!)Maximaenterƿû֤ۤɡ

ɸA(a,b),C(0,0),D(9,0),F(a+3,b)Ȥ
ľAB,CBθBľEF,EDθE
ʿAB,BC,ED,EFa,b,c,d롡Maxima

part(solve([y=c*(x-a)+b,y=d*x],[x,y]),1)$rhs(part(%o1,1))$rhs(part(%o1,2))$
part(solve([y=d*(x-a-3)+b,y=c*(x-9)],[x,y]),1)$rhs(part(%o4,1))$rhs(part(%o4,2))$
num(factor((a-%o2)^2+(b-%o3)^2-10^2))$
num(factor(%o2^2+%o3^2-1^2))$
num(factor((%o5-a-3)^2+(%o6-b)^2-6^2))$
num(factor((%o5-9)^2+%o6^2-5^2))$
expand(%o7-%o8)$
expand(%o9-%o10)$
expand(%o11-%o12)$
part(solve([%o7,%o9,%o11,%o13],[a,b,c,d]),11);
ev(rhs(part(%o1,1)),part(%o14,1),part(%o14,2),part(%o14,3),part(%o14,4));
ev(rhs(part(%o1,2)),part(%o14,1),part(%o14,2),part(%o14,3),part(%o14,4));
ev(rhs(part(%o4,1)),part(%o14,1),part(%o14,2),part(%o14,3),part(%o14,4));
ev(rhs(part(%o4,2)),part(%o14,1),part(%o14,2),part(%o14,3),part(%o14,4));

a=27/5,b=44/5,c=4/3,d=-4/3
-3/5,4/5,12,4

A(27/5,44/5),B(-3/5,4/5),C(0,0),D(9,0),E(12,4),F(42/5,44/5) ȷޤꡡ
إθǡMaxima

a1:sqrt((42/5+3/5)^2+(44/5-4/5)^2)$
b1:sqrt((9+3/5)^2+(-4/5)^2)$
c1:sqrt((9-42/5)^2+(44/5)^2)$
expand((a1+b1+c1)*(-a1+b1+c1)*(a1-b1+c1)*(a1+b1-c1))$
sqrt(%)/4$
a2:sqrt((27/5)^2+(44/5)^2)$
b2:sqrt(12^2+4^2)$
c2:sqrt((12-27/5)^2+(4-44/5)^2)$
expand((a2+b2+c2)*(-a2+b2+c2)*(a2-b2+c2)*(a2+b2-c2))$
sqrt(%)/4+%o5;84()
˭ԡ 34ڡ 1:56:17 MAIL:fttnm528@ybb.ne.jp 50246
鯤ο
#50240

>ȤȤϡȤϻѷդĹ˴ؤ餺ޣȿޣƱѤˤʤȤͥ

ʿԻշˡ˱äơڤƤߤޤ

ABCDEFʿԻշAGDHߤޤ

ACCDt:1-t
GBBAs:1-s
HE:EDu:1-u
HFFAv:1-v
ȤȡBC//EFꡢs:tu:v
äơsvtu

ޣޣ򼨤ˤϡ
AGDHޣƻĤ룳ѷS1ȡ
AGDHޣƻĤ룳ѷS2Ȥ򼨤Ф褤

S1/S2{t+(1-t)(1-u)+u}/{(1-s)(1-v)+v+s}
=(1+tu)/(1+sv)
=1(譡)

ꡢS1=S2
//

34ڡ 2:14:42 50247

īƸľʿԻշˡäʬޤ
Ի׵ĤȵĤʤΤǤ͡
34ڡ 8:29:04 50248
ֿء׾ι
դĹơʿԻշ褦ˤƷ׻ޤ
5-5-6ջѷ6ĤǤƤ뤳Ȥ˵դޤ
Ƥߤȡ1ǢACEѤ
褦ʡΤ顩
⤷ơ¤ʤäȴñ˽ФΤʡ
34ڡ 10:03:33 50249
̴
AFΣĤŤıĹѷꡢ٤δط
ջѷȤʤ뤿ᡢ褬Ȥ
˻ޤǧڤǤʤΤǡäȹͤ
ޤ줷ʤȡפޤ
ߤˡ̤Ǥʤޤ󤬡
ٻΤ桡 34ڡ 10:33:14 50250
baLLjugglermoka
3:4:5ݥȤǤ
34ڡ 13:08:26 50251
kazsyun
椫顢¤Ȥʤ2ĤλѷѤƱȤʬäΤǤ
3:4:5˵Ť^ ^
34ڡ 15:39:49 50252
ɥȥ
ɤʤäƻפä餽ʲˡäǤ!
#50241
Ĥ餳ʤ˥ॺǤ͡
34ڡ 16:14:28 50253
ˤ
٥ȥǷ׻ޤ
Ķļˡ 34ڡ 21:20:58 50254
ǯ
ϻѷĹǰϤϻѷγ4ĤľѻѷǤ
⤵顢4ĤλѷǤ롣
Ĺ顢岼μդŤκ10ʿ6Τ
ѷ3:4:5ʬ
ȤϡơˡФơĹľѻѷѤ
34ڡ 22:44:12 50255

ŪʲˡʤȲ򤱤ޤǤ
μDz򤯤ΤϤʤʤ񤷤Ǥ͡
35ʶ 9:20:17 50256

#50241
ιͤۤȤ餷Ǥ͡
䤫Ǥ
35ʶ 9:26:44 50258

֤Ƥߤ#50241βˡäʬޤ
Ĥ褦ˤ餷ˡǤ͡
Ǥ
35ʶ 17:09:04 50259
Ȼ
#50229 餲 103Ȼפޤ
8165󤫤608,ʤΤǹ5764󤫤008ʤΤ103󤫤ʡ
35ʶ 19:06:41 50260

#50260
Ǥ
36ڡ 1:50:13 50261
ˤ⡼ʡء˥Υ
ǽ򸫤ơ֤ؤפȤʤäΤǤդʿ԰ư򤷤ƿ޷̵ꣳľѻѷ򸫽ФѷȤƷ׻
Ūˤʤäơ줫ȳοǤ
֤Ϥäãꡣǿޤ
¡ 36ڡ 2:45:14 50262

ѤפȤϻפޤǤ
36ڡ 14:06:51 50263

μϤäݤƤʤΤˤʤΤ𤷤Ƥޤ
37 11:31:01 50264

ǯ޶1֡Τ褦Ƕäޤ
37 19:44:25 50265
ȥ
ɤľѻѷǤ
38ʷ 20:43:49 50266

νڤߤǤ
οʤ󤫤ФƤ
310ʿ 9:49:17 50267
Τ
ꥮꥻաʾС
¦­ʿԻշꡢջѷ3:4:5ľѻѷФƤΤǡꤴ׻ޤ
2004ǯꡪޤҤ硼
310ʿ 15:27:50 HomePage:ڤ50268
ޥ
2004ǯꡢ⸫ƤߤޤΤ˻Ƥ...
Mac 310ʿ 19:24:55 HomePage:50269
ͤͤ
錄ѽӼҤΡλ20ǯפĴ٤ޤŤǤȿǤDz⤬㤦Ǥˤϡ򴶤ޤϤäƤޤΤȤȤơʿԤǤ뤳ȤˤʤäƤޤʿԤǤ뤳Ȥκ򼨤ʤȤʤȻפޤʿԤǤ뤳ξǤʤơ¤ϱѽӼҤ˥᡼䤤碌ޤƤޤƱѽӼҤô꤬ȤޤǤƤäꤷޤ

310ʿ 21:15:21 MAIL:rss70182@nifty.com 50270
̻
³
㤨пޣξʤ顢A̤EEʿԤ޷˰
ƱͤˡC̤ABʿԤE̤CDʿԤ
ɤ޷ˤҤ飳ܤʿθϡ
դĹ 5, 5, 6աˤΣջѷȤʤꡢ
μˣĤʿԻշǤ롣
ջѷ 3:4:5 ľѻѷĤäĤΡ
⤵桢ĹȤСѤ⤹٤Ƥ狼롣
䤬äƤλ20ǯפβϡʿ¿
Ҥδꡣܤ餤礦ɤ褤ȻפǤ

ȤΩ˺䤷ʤ⸫3:4:5Ǥ
ޥ뤵˴ǤŤơޤäƤ
310ʿ 23:33:38 50271
̻
#50271
Ĥޤʤߥߤޤ
A̤EEʿ FEʿ
310ʿ 23:35:30 50272

ۤȤǤ
Ƥޤ
311ڡ 0:46:22 50273
Mr.ǥ
ڲˤĤ֤
Ǥ6ĿʤХ뤹ˤȤ
16Υžƥ뤹ޤǤˤδͤϡ
ܤ¤礦6ǤʤȤ6ʾǤХǤȤ

ñݤʴޤؤǤ
311ڡ 12:08:35 50274
Mr.ǥ
#50274
>16Υžơ
ĤΤǤϤʤ16ܤΤ룱ĤΥ
Ȥ̣Ǥ
311ڡ 14:33:43 50275
鯤ο
#50274
Ĥnޥ夬ΤɬפʲδͤnȤȡ

E1=1
E2=5/6+1/6(1+E1)=1+1/6E1=7/6
E3=4/6+1/6(1+E1)+1/6(1+E2)=1+1/6(E1+E2)=49/36
E4=1+1/6(E1+E2+E3)=343/216
E5=1+1/6(E1+E2+E3+E4)=2401/1296
E6=1+1/6(E1+E2+E3+E4+E5)=16807/7776

//
312ʶ 0:45:45 50276
鯤ο
50276
SnᦲEnȤȡ
E(n+1)=S(n+1)-S(n)=1+1/6S(n)
򤤤ơSn7(7/6)^(n-1)-6
En=Sn-S(n-1)(7/6)^(n-1)
E6=(7/6)^5
//

ǽϡ
6󡡡1/6*1
5any󡡡1/6*2
4ʾ塡1/6*1/5*2
41any1/6*1/6*3

32Ĥξ񤭤׻ְ㤤ʤʤäΤǡ
ͤľޤ
312ʶ 1:34:02 50277

žСñۤν˻Ƥʥߥ󥰤ˤʤäƤޤޤ򤱤ޤ
4Ԥޤ
312ʶ 22:19:42 50278
Mr.ǥ
#50276 ,#50277
鯤οͤ󡡼ȤǤͭ񤦤ޤ
錄#20276 Ʊͤ˷׻Ʊˤʤޤ
Ĥ˰̲褦Ȼߤޤ

6ʲξϡ鯤οͤ#50277 Ʊͤ
En1+(1/6)(E1+E2++En-1)
=1+(1/6)(E1+E2++En-2)+(1/6)En-1
=(7/6)En-1
En(7/6)^(n-1)
ȤʤäΤǤ

ĥơ7ΤȤ
En1+(1/6){E(n-6)+E(n-5)++E(n-2)+(En-1)}
=1+(1/6){E(n-7)+E(n-6)+E(n-5)++E(n-2)}+(1/6)E(n-1)1/6)E(n-7)
=(7/6)E(n-1)(1/6)E(n-7)
ȤǤޤ

ξϡEn=(7/6)^(n-1) Ωʤʤ褦Ǥ͡

312ʶ 22:21:55 50279
鯤ο
#50279

>En1+(1/6)(E1+E2++En-1)
>=1+(1/6)(E1+E2++En-2)+(1/6)En-1
>=(7/6)En-1

ľѷǤΤǤ͡

#50276η׻򤷤Ƥơ343=7^32401=7~4˵ŤʤäΤϴȴʤȻפäƤޤ

#50276η׻6ˡǤȡ

E1=1
E2=1.1
E3=1.21
E41.331
ȥѥλѷФƤεŤƤ顢ǤⵤŤ󥹤
ΤǤ
E5=1.46411.5041ȷ夬꤬äơ׻ߤ㤤ޤ

313ڡ 0:06:56 50280