!!!
ȯ۷ϤȻפä̤ˤäȤ
319ڡ 0:07:27 43046
ʪ
դĹѤ㤨ƤФ餯ͤޤꡣ
319ڡ 0:16:32 43047
٥륯åĥ
ǤޤѷѤ1/2ˤƤʤä1+1112ΤȤ11ˤƤꡢߥϢȯäǤޤ
319ڡ 0:18:09 43048
ǯ
иɸιͤǷ׻򲣣ȤƣѣĤƤʤ顢ʿԻշβ򣱣Ƿ׻ꡢѷѤΣ˺줿ꡢּޤ
319ڡ 0:27:07 43049
4329ܤβ
겡DzȤ򤱤
ɤ϶
319ڡ 0:29:22 43050
ߤ
Ҥ̤ĤʿԤ٤ȤݤˡǤ

ѷңѡͳѷ£ãġߣ/ߣ/ߣ/
ѷѣңСͳѷ£ãġߣ/ߣ/ߣ/ߣ/
ΣĤ¡ͳѷңУѡͳѷ£ãġߣ/
319ڡ 0:38:18 43051
4329ܤβ
겡DzȤ򤱤
ɤ϶
319ڡ 0:45:24 43052
Mr.ǥ
PDQ=[1]ȤȤARQ=[S]Ȥ
BDP=[11]
BPR=BDP*2[22]
PQR=PDQ*2=[2]

DQQA=BDQBQA=[12][22+2+S]12(24+S)
ޤ
DQQA=RDQRQA=[2+1][S]=3S

衡12(24+S)=3SS=8
ä
ARPQ/ABCD=(8+2)/{2(8+2+22+11+1)}=5/44.....ȵޤ
319ڡ 0:57:47 43053

׻ߥ񤭴ְ㤨ߤʤ빽Ƥ褦ǰ¿ޤ
P̤ABʿAD,BCȤθE,FȤ
BF:FC=2:1
ޤPBF梤PQE,BP:QP=11:1
äEQ=1/11BF=2/33BC
EP=1/12AB
DEP梤DAR,DP:DR=1:3
AR=3EP=1/4AB
⤵դΤǡ
ͳѷARPQ=PQE+PEAR(1/2*2/33*1/121/2*(1/4+1/12)*2/3ʿԻշABCD=5/44ʿԻշABCD
Ϻꡡ 319ڡ 1:04:03 43054

Ф
ABE, ADFȤꡢʿԻշAEPFĤ
AEPFABCD1/128/12=1/18
ȤϢPERPFQ
AE:ER=4:8AF:FQ=11:1
շAEPFβܤɽȤ줾1ܡ1/22ܤȤʤΤ
3Ĥο޷ιפ顢5/44ܤȤޤ

319ڡ 1:09:19 43055

Ф⤷ޤ󤬡
R̤BCʿBQȤθSȤ
QD:SR=
ΤȤQP=1PS=2Ǥ뤫顢
BS=9
äAR:RB=391:3
SRAQ=91234魡SRᣲȤƤΤ
ᣲxȤ
x8/3
줫AQQD8/3183Ȥʤ롣

ΤȤARDʿԻշABCDѤ1Ȥ
ARD11/21/41/8
PQDᢤARD(13/311)1/81/111/88
ͳѷARPQᢤARDݢPQD1/81/885/44
ä5/44
319ڡ 1:43:47 HomePage:43056
Ȥ
ľBQCDθSȤ
PSD梤PBRRP(=8):PD(=4)=2:1((1))=BP(=11):PSPS=11/2
PQ=1QS=PS(=11/2)-PQ(=1)=9/2ޤSB=SP(=11/2)+PB(=11)=33/2ޤ
SQD梤SBCQS(=9/2):SB(=33/2)=3:11=QD:BC
ǢQDBCʿԻշABCDѤ1Ȥ1/2+3/22ǢSQD=xȤ
x:x+1/2+3/22=3^2:11^2 ꡡsolve(3^2*(x+1/2+3/22)=11^2*x,x);x=9/176
QPDϢSQDQDͭƹ⤵QP(=2/2)/QS(=9/2)=2/9ܤʤΤѤ(9/176)*(2/9)=1/88
ȢSQD=x=9/176­ƢPSD=1/88+9/176=1/16(1)Ȥ
PSD(=1/16):PBR=1:2^2ꢤPBR=1/4
ARPQ=ʿԻշABCD(=1)-QDBC(=1/2+3/22)-PBR(=1/4)=1-1/2-3/22-1/4=5/44()
˭ԡ 319ڡ 2:00:16 MAIL:fttnm528@ybb.ne.jp 43057

ȻѷDz򤭤ޤ
1/18+1/396+1/18=5/44
319ڡ 2:15:03 MAIL:nikotan@fat.coara.or.jp 43058
Ȥ
#43057 ûʤޤ

ľBQCDθSȤ
PSD梤PBRRP(=8):PD(=4)=2:1((1))=BP(=11):PSPS=11/2
PQ=1QS=PS(=11/2)-PQ(=1)=9/2ޤSB=SP(=11/2)+PB(=11)=33/2ޤ
SQD梤SBCQS(=9/2):SB(=33/2)=3:11=QD:BC
ʿԻշABCDѤ1Ȥ
QDBC=1/2+3/22,PQD=(1/2)*(3/11)*(1/12)=1/88,QSD=(QS(=9/2)/PQ(=1))*PQD=9/176
PSD=PQD(=1/88)+QSD(=9/176)=1/88+9/176=1/16 (1)Ȥ
PSD(=1/16):PBR=1:2^2ꢤPBR=1/4
ARPQ=ʿԻշABCD(=1)-QDBC(=1/2+3/22)-PBR(=1/4)=1-1/2-3/22-1/4=5/44()
˭ԡ 319ڡ 2:42:29 MAIL:fttnm528@ybb.ne.jp 43059
Ȥ
#43059 ûʤޤ

ľBQCDθSȤȢPSD梤PBRRP(=8):PD(=4)=2:1=BP(=11):PSPS=11/2
PQ=1QS=PS(=11/2)-PQ(=1)=9/2ޤSB=SP(=11/2)+PB(=11)=33/2ޤ
SQD梤SBCQS(=9/2):SB(=33/2)=3:11=QD:BC ʿԻշABCDѤ1Ȥ
QDBC=1/2+3/22=7/11,PQD=(1/2)*(3/11)*(1/12)=1/88,PRB=(1/88)*4*(11/2)=1/4
ARPQ=ʿԻշABCD(=1)-QDBC(=7/11)-PBR(=1/4)=1-7/11-1/4=5/44()
˭ԡ 319ڡ 3:07:29 43060
fumio
Ϥ褦ޤ
ҤɤǤ
ǤϤǤϤޤ͡
319ڡ 5:48:37 43061
ȤޤԤ
ͥ饦ǡʬŻ³ơΤѤ22ȤŻ
ξʬ12ȤƤäΤǡ碌פäΤޤ
319ڡ 5:56:45 43062
̴
ȤޤԤ󤵤Ʊǡͥ饦ȤʿԻշνգҤǤΣᡢգѤǤΣᡢ׻ǷؤȡâŻǤܤɮǤޤ
ٻΤ桡 319ڡ 6:26:08 43064
ǯ
ޤ㤤Ϥޤ󤬡
P̤äABʿԤADȤθMBCȤθNȤ롣
ARD=MPD*(AD/MD)^2=9*MPDʤΤǡ
ѤϡARDݭMPDܭMPQ = 8*MPDܭMPQ
ʿԻշѤ1Ȥȡ
MPD=(1/2)*(1/3)*(1/12)=1/72
NPB=(1/2)*(2/3)*(11/12)=22/72
MPQ=NPB*(1/11)*(1/11)=2/(72*11)
ΤˡͳѷARPQʿԻշABCD=8*(1/72)+2/(72*11)=5/44

319ڡ 10:26:05 43065
⡼ޥ
äȼʬδְ㤤˵դޤ
2:13^2-1=8 ʤΤǡ(դϤɤ櫓2^2-1=3ȻפǤޤ)
4*(11/9*8+2/9)=40
40/(2*(44+88+4+40))=40/(2*176)=5/44
ǤΤ Orz
¨ ^^;v 319ڡ 10:46:44 43066
Mr.ǥ
̴#43064 ֥ͥ饦ȤգѤǤΣᡦ......ΤȤ
ͥ饦γĥhttp://mathtrain.jp/menelausˤȤä
(DA/AQ)*(QB/BP)*(PR/RD)=1
(DA/AQ)*(12/11)*(8/12)=1
DA/AQ=11/8 AQQD=83

Ȥϡ PQD=[1]ȤȤ
BDP=[11]BPR=[11]*2=[22]RDQ=[1]*3=[3]RQA=[3]*(8/3)=[8]
ARPQ/ABCD=(8+2)/{2(8+2+22+11+1)}=5/44

ȡͥ饦(ĥ)λѣǺѤߤǤ͡
320ʶ 10:12:08 43067
uchinyan
Ϥˤϡơϡ
ϡعλǤɸŪ񡤤ʤȻפΤΡ任ǤϡɸŪסʤȻפޤ
ˡϤĤꤽǤ㤨Сʴ

P ADAB ʿԤAB Ȥθ EAD Ȥθ FȤޤ
BEEA = BPPQ = 111REEA = RPPC = 84 = 21BRREEA = 921
DFFA = DPPR = 48 = 12QFFA = QPPB = 111DQQFFA = 9222
ARPQ = ARP + AQP = ARD * 8/12 + AQB * 1/12
= ABD * 3/12 * 8/12 + ABD * 24/33 * 1/12
= ABCD * 1/2 * 3/12 * 8/12 + ABCD * 1/2 * 24/33 * 1/12
= ABCD * (1/12 + 1/33)
= ABCD * 5/44
ĤޤꡤARPQ Ѥ ABCD Ѥ 5/44 ܤˤʤޤ
ͥνȡ 319ڡ 14:13:29 43068
ϺĹ
פ֤ΰȯʤΤǽ񤭹ߡ
򤫤äǤ
֤󡢤ɤʤȽŤʤȻפޤΤǡܺάޤ
£ФαĹȣãĤαĹŤȤ
£ңТ梤Уģ
£Ѣ梤ѣģŤޤ
Ĥ⤤øʲ򤷤ƤΤǤϿ˲򤭤ޤ
ˤƤǶᡢ¿Ǥ͡
319ڡ 15:59:52 43069
uchinyan
ǼĤɤߤޤ
Ϥꤤޤ͡աƤޤä (^^;

#4304#43053#43075
ˤˡ

#43051
P ̤ AD ʿԤȤäƲ򤯲ˡ

#43054
P ̤ AB ʿԤADBC Ȥθ EF ȤARPQ = PQE + PEAR ׻ˡ

#43055
AB EAD F Ȥ ʿԻշAEPF ꡤARPQ = AEPF + PER + PFQ ׻ˡ

#43056
R ̤ BC ʿԤ BQ Ȥθ S ȤARPQ = ARD - PQD ׻ˡ

#43057#43059#43060
BQ αĹ CD αĹȤθ S ȤARPQ = ABCD - QDBC - PBR ׻ˡ
#43059#43060#43057βǤǤ

#43058
ȻѷDz򤭤ޤ
Ȥˡܺ٤Ǥ񤫤Ƥ뼰餹ȡ#43055Ʊ褦ʲˡȻפޤ

#43062#43064#43067
ͥ饦Ȥˡ
Хꥨ󤬤褦Ǥ

#43065
P ̤ä AB ʿԤ ADBC Ȥθ MN ȤARPQ = ARD - MPD + MPQ ׻ˡ

#43066
2:13^2-1=8 ʤΤǡ
4*(11/9*8+2/9)=40
40/(2*(44+88+4+40))=40/(2*176)=5/44
Ȥˡܺ٤
θ塤#43071ˤơ#43054ƱȤΤȤǤ

#43068#43074
P ADAB ʿԤAB Ȥθ EAD Ȥθ FȤARPQ = ARP + AQP ׻ˡ

#43069
BP αĹ CD αĹȤθ E ȤȤäƲ򤯲ˡ
¿ʬ#43057ʤɤƱ褦ʲˡȻפޤ

#43072
ޤ ABQ ᡡARPQ = ARQ + RPQ ׻ˡ

#43049
иɸˤˡ

#43076
ץˤˡ
ͥνȡ 320ʶ 11:59:40 43070
⡼ޥ
uchinyan󡢤Ĥ礷ĺ꤬Ȥޤ
#43066 ϡϤäƤΥǤOrz
#43054 ΤᤤƱäȻפޤ ^^v
()2դĹѤȤƷ׻(ʤ⤷ޤ?)
¨ ^^;v 319ڡ 17:39:26 43071

ABCDѤ򣱤ȤơޤѷABQѤ롣ˡRQơѷARQRPQѤ򤽤줾ƹפơޤ
ŪñǤʤߤˡǤ
319ڡ 18:59:55 43072

յ٤ߤνϥΡȣ
Υס 319ڡ 22:28:01 HomePage:浮ȣ43073
Goosehouseե
uchinyan(#43068)ƱǤ
320ʶ 3:10:25 43074
Ф
2Ϣ³ޤǤ
Ǥ
320ʶ 5:12:43 43075
ϥ饮㡼ƥ
Ϥ褦ޤMathematicaˤ׻Ǥ

դĹʣʿͤˤʤޤ
320ʶ 10:18:18 HomePage:湩ؤ˥43076
uchinyan
#43071
⡼ޥ󤵤ɲä򤢤꤬Ȥޤ
ĤʤФ⤦ΰ̣Ϥ褦ȤΤǤ
Ƥޤäơ餷ޤ (^^;
ͥνȡ 320ʶ 11:57:24 MAIL:uchi@sco.bekkoame.ne.jp 43077
⡼ޥ
uchinyan ^^
⤴ޤ ^^;
줫ϤǤ狼䤹Ȼפޤ m(_ _)m
but...ɤƱŲƧ󤸤äơ٤뤳Ȥϲ٤Ǥ?ĤΤȤϤʤޤ^^;;
¨ ^^;v 320ʶ 14:19:19 43078
mukku
Ҥ֤
xĤäƤޤäɤʤȤ
321ڡ 0:31:23 43079
ޤݤ
ɽ񤭹Ǥߤ
յ٤ߤνι֤ˤäȵٷƤΤĤDz򤤤
ѷ1/2Ǥ͡
5/22ǤϤޤww
321ڡ 16:22:39 43080
ޤݤ
ߤʤβ򸫤ƤȡʬϤʤݤ򤷤ƤΤȻפޤ
ͥ饦ȤŪǶὬäФʤΤˡ
321ڡ 16:25:08 43081

Ĺܰƻѷ
2:1岼3:11λѷǤޤ
Ǥ뤳ȤȤäƤޤ
ؤδؤǽʤȤϤ魯ޤ
322 22:54:34 43082
ޤ
Dz򤭤ޤ
323ʷ 12:04:30 43083

иɸDz򤤤
򤯤Ȥͥ饦ȤΤʡ
325ʿ 0:22:40 43086