Ȼ
A,P,Qˤ㤤ޤ
41ڡ 0:12:38 36018

㴳ˡǤСѤ˴ؤƤ꤬ʤ褦ʤΤ
ʤˤС£äη˴ؤƤ
٤Ƥɸ֤ơѤޤ

¡ʣˡʣˡáʣˡľդ
Сʣˡѡʣˡ¡á
Ȥȡ
ӡʣˡҡʣˡȤʤꡢ

ңӡ9/2
ͳѷУ£ãѡǤˡ24ꡢ3/16

ʥˡǤʤȤ򵧤롪
ޡ 41ڡ 0:16:25 36019
baka
ü첽Dz򤭤ޤޤ
41ڡ 0:19:36 36020
⡼ޥ
Ʊˡ...^^;...
ͱƴŪΨ̤ʤΤ...
ѷƱΤƹͤޤ...Τʤ...^^;?
ARS=(1/3)(5/8)-{(1/3)(1/8)(1+(5/8)}=27/(24*8)=9/64
PBCQ=1-(1/2)^2=3/4
(9/64)/(3/4)=3/16
^^;v...Orz...
41ڡ 0:24:47 36021
ݤä
GC/JavaΤäˤʤޤ
ʡ 41ڡ 0:24:50 36022
fumio
ФϡǤǤϤޤ٤ߤʤϤϤϡ
41ڡ 0:45:39 36024
ߤ
ѷˤĤƲξʤΤǡ֤ɤʻѷǤͤˤʤפ
ơˡDz򤭤ޤ

ˡ뤿˻ѷξ郎ĤƤʤƤ褫ä^^;
41ڡ 0:45:49 36025
fumio
奪եߡǯ⻲äޤڤߡ(^o^)
41ڡ 0:49:40 36026

ü첽̲ͤǤޤ

AB:PB=1:X,AC:QC=1:YȤ
X,YȤäơ줾ο޷ȢABCΨƤ
ҤȹפΤRBSCǤ롣
RQCʿԤľȡSPBʿԤľ
ȡ줾ľBCθϰTǰפ롣(BT:TC=1:3)
ޤʿγѴطBAC=RTS狼롣
äơBRT,RTS,STC3ĤʬƵ롣

ǡϤꤴ׻ȡ
PBCQ=(X+Y-XY)ABC
ARS=3/16(X+Y-XY)ABC
狼롣

ä񤷤
41ڡ 0:52:22 36027
ä
ܥ⥫ǥlol
41ڡ 0:52:33 36028
doba
סˡ

PRCQ=(3/4)PBCQ

ARS=APRS-APR=(1/4)APRC-(1/4)APQ
=(1/4)(APRC-APQ)=(1/4)PRCQ=(3/16)PBCQ

Ǥ͡
ࡢ褯פĤʤĤʤ餹
41ڡ 3:39:34 36029
Ȥ
ü첽ƺɸǰʲβˡˤʤޤ

PSCXˤʤ褦˺ɸˤ
P(0,0),S(1,0),C(4,0)
ޤBRSQľy=x-1ˤʤ褦˺ɸˤ
B(-1,-2),R(0,-1),S(1,0),Q(3,2)

ľCQy=-2*(x-4)
ľBPy=2*x
2ľθAʤΤ
2*x=-2*(x-4)4*x=8x=2ꡡA(2,4)
PBCQ=4*2/2+4*2/2=8
ARS=(3/5)*4/2+(3/5)*1/2=3/2
ARS/PBCQ=(3/2)/8=3/16)
˭ԡ 41ڡ 4:48:48 MAIL:fttnm528@ybb.ne.jp 36030

#36019
⡢Ʊѷꤷޤ
ŷϿ͡ 41ڡ 6:00:54 36031
ͣ.ǥ
ü첽Ʋ򤯤ȤǤʤäʵ
ɤü첽Τʤ顢Ȼ #36018Ρ> A,P,Qˤ
㤤ޤפޤǤФΤˡȾüǤ㤴ȡ

41ڡ 10:07:24 36032
Ѥ
Ϥ褦ޤ
˽ü첽ǤȤƤޤޤ
ϥϡ 41ڡ 11:27:59 HomePage:֤ä36033
uchinyan
Ϥˤϡơϡ
ࡤϡءä˥٥ȥγѡȤСͤ˰Ż٥η׻ǤǤޤ
ȤʤȾͤߤޤ
դ顤ȤäơäʤۤɤäǤޤʴǡ

ޤ˰¸ƤȻפޤ
ARS = APRS - APR = (APRC - APQ) * 1/4 = PRCQ * 1/4 = PBCQ * 3/4 * 1/4 = PBCQ * 3/16
äơARS PBCQ 3/16 ܤˤʤޤ
ΰִطѤäϼ㴳νɬפ⡤ǤƱͤˤǤȻפޤ

ñơ㤤Ƥʤ԰¤Ǥ
ͥνȡ 41ڡ 11:31:55 MAIL:uchi@sco.bekkoame.ne.jp 36034
ޥ
#36029
ꡢ¤ϥꥸʥ뤸ʤƸͥǤѤޤ...
41ڡ 12:18:06 36035
uchinyan
ǼĤɤߤޤü첽ˤˡ¿ɤΤ褦Ǥ

#36018#36019#36020#36021#36025#36030#36031#36032#36033
PQ ΰ֤䡤ABC η˼ͳ٤뤳Ȥܤü첽ˤˡ

#36022
ץˤˡ

#36024#36028
ˤˡ

#36027
AB:PB=1:X,AC:QC=1:YȤ
X,YȤäơ줾ο޷ȢABCΨƤ
ҤȹפΤRBSCǤ롣
RQCʿԤľȡSPBʿԤľ
䤹ȡ줾ľBCθϰTǰפ롣(BT:TC=1:3)
ޤʿγѴطBAC=RTS狼롣
äơBRT,RTS,STC3ĤʬƵ롣
Ȥˡ

#36029#36034
䢢PRCQ=(3/4)PBCQ
䢤ARS=APRS-APR=(1/4)APRC-(1/4)APQ=(1/4)(APRC-APQ)=(1/4)PRCQ=(3/16)PBCQ
Ȥˡ

ʤʸȤäƤΤʤСʷ׻ˤˡ⤢ޤ͡
APAB = m1AQAC = n1 Ȥơ
ARS = ABS - ABR - RBS
ABS = ABC * 1/4
ABR = ABQ * 1/4 = ABC * n/4
RBS = SBQ * 1/4 = (CBQ - CBS - CQS) * 1/4
= (ABC * (1-n) - ABC * (1-m) * 3/4 - ABC * m * (1-n) * 3/4) * 1/4 = ABC * ((1-n) * 1/4 - (1 - mn) * 3/16)
ARS = ABC * 1/4 - ABC * n/4 - ABC * ((1-n) * 1/4 - (1 - mn) * 3/16) = ABC * (1 - mn) * 3/16
ǡ
PBCQ = ABC - APQ = ABC * (1 - mn)
ʤΤǡ
ARS = PBCQ * 3/16
ͥνȡ 41ڡ 12:55:23 MAIL:uchi@sco.bekkoame.ne.jp 36036
baka
ü첽ʤǤǤ
ФΤΤȻ褦ʲˡǿޤ

BSCܢASC3/4ABC
ARQܢCRQᢤARSܢCRSܢASC3/4ABC
2颤BSCᢤARSܢCRS
äƢARSᢤBSCݢCRS3PC/4*(h/4)3PC*h/16
(PCդȤ΢PQCȢPBCι⤵¡
äƢARSϢPBCQ3/16

ñơ㤤Ƥʤ԰¤Ǥ
42ʶ 2:30:59 36037
baka
3/4ABC 3/4*ABC Ǥޤ
42ʶ 3:24:40 36038
uchinyan
ޤƱ褦ʤΤȻפäƽ񤭤ޤǤ
ARS = ARC - ASRC = (ABC - APRC) * 3/4 = PBCR * 3/4 = PBCQ * 1/4 * 3/4 = PBCQ * 3/16
Ǥ⤤Ǥ͡
ͥνȡ 42ʶ 11:53:42 MAIL:uchi@sco.bekkoame.ne.jp 36039
baka
BQդȸƤƱͤ
ARS =PBCQ * 1/4 * 3/4ȤʤǤ ʤۤɡ
42ʶ 12:43:37 36040
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Ǥޤ
꽸1ǼΤ褦꤬äΤǤäƤɤ٤񤷤ʤΤǤ礦
­ФʤäΤǡġ

ɽԹ塢ϼΤ褦ˤޤ
1^22^23^2ܡ10^2Ϧ(k=110)(k^2)ɽ


δn¿xФ
e^x1+(k=1n)(x^k/k!)
ΩĤȤѤ
300!>10^600
򼨤


X>0ΤȤ
e^x1+(k=1n)(x^k/k!)>x^(n-1)/(n-1)!
ΩĤΤ
(n-1)!>x^(n-1)/e^x
n=301,x=300Ȥ
300!=300^300/e^300=(300/e)^300
e<3
300/e>100=10^2
椨300!>!^600Ω

ȯ̤ۤˤǤΤʤΤǤ礦
1ܤȤ
43ڡ 2:07:12 36041
uchinyan
#36041
䤳ȯ̤ۤˤǤΤʤΤǤ礦
ࡤ̯ʤȤǤ͡⤢Ȼפޤ
ʲ򸫤ȤλƬ桥

300! 10^600 = (10^2)^300 = 100^300 顤x > 0 Ȥơ
e^x >= 1 + (k=1n)(x^k/k!) > x^n/n!
ǡx = 100, n = 300 ǤǤʤʡäȡn δȤʤȡ
e^x >= 1 + (k=1n)(x^k/k!) > x^(n-1)/(n-1)!
ǡx = 100, n = 301 ʤǤ⤳ȡ
e^100 > 100^300/300!
300! > 100^300/e^100
Ǥޤʤ
n ϤΤޤޤǡx 򤦤ޤȤäƤǤʤʤ
300! > x^300/e^x
100^300 ɬפ顤x = 100m Ȥơ
300! > (100m)^300/e^(100m) = (m^3/e^m)^100 * 100^300 >= 100^300
1 <= m^3/e^m
ǡm = 2, 3, 4, ...
ޤƤ衤2 < e < 3 顤1/3^m < 1/e^m < 1/2^m
1 <= m^3/3^m < m^3/e^m < m^3/2^m
m = 3x = 300Ǥޤʡ

x > 0 ΤȤ
e^x >= 1 + (k=1n)(x^k/k!) > x^n/n!
ɾϤ褯ޤ͡

ʤϤκǶˡ񤷤Ȼפޤ
ɾ꤬褯ФƤ褦˻פޤ
ͥνȡ 43ڡ 13:37:47 MAIL:uchi@sco.bekkoame.ne.jp 36042
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ֿ꤬Ȥޤ

Ǥ
äѤ⡣

7˽1ĥäƼƤߤ褦ȻפäƤޤ

񤷤ΤǡΤޤޤȥޥ
46ʲС 16:51:51 36043

ǴĥäƤǤޤ
ӤУѤˤơäʿԤľҤҤУѤˣ¤ʿԤľҤȡƱˤʤޤ餷褿ԤȤȡѷԣӤѷƣԣӣѤˡԣҤѷƣԣңФˤȡѷȤμʬУңӣѤϣУ£ãѡ1/43/4޷Ȥƽλ񤷤ä
47ʿ 14:30:17 36044
Ĥ
ϣǯ֤꤯餤ǤǤäȤƤޤǤ
47ʿ 16:02:04 36045