Ƥˤ
116礭ѷꡢˤȤȤѷ򿿤˻ѷ2ġ
ΤȤ47դʿԻշ4ȤȤ60٤γѤϤ಼դ5
7ȤȤ60٤γѤϤ಼դ5
äƻĤ6
913ڡ 0:47:30 39770
abcba@baLLjugglermoka
BPRˡCSQ˿줾θE,FȤСRE+SF+BC=11BC+2(RE+SF)=16äơBC=6
ʤ󤫾꤯Ǥޤ󤬡פˡ
٤δطѷȾʬľѻѷդĹ椬2:1Ǥ뤳ȤѤƲ򤭤ޤ
913ڡ 0:53:13 39771
⡼ޥ
򤫤ä
ѥߤ...^^
Ǥ
դ9ȡ12ѷθAȹͤΤ...
7-5+4=6

Ť٤...^^;
913ڡ 0:58:51 39772
å
ABCˡBPRˡCSQˤ줾򲼤­򤽤줾T,U,VȤޤ
BPUABT , ACTCQVġBPAB , ACCQ
BPUȢABT , ACTȢCQVϤ줾Ʊˤʤ롣бդĹܤ
BCx , BRCSyȤ
xy16 , xy/211ꡢx6
ޤBURȢCVSƱʤΤǡBRCS5
913ڡ 1:11:30 39773
HirotakaUEDA
PQ򤽤줾BC濴˲žA˽Ťͤ碌ưRS򤽤줾R'S'ȤޤȳRBCȳSCBϤ줾죱١PRBȳQSC줾죶٤ʤΤǡˤʤޤΤȤ

R'B+BC+CS'16
R'BCS'
R'B+CS'☓1/2ˡ11
ΤȤBC6ѤȤʤޤ
913ڡ 2:29:48 39774

RSդȤ礭ѷäƲ򤭤ޤ
RB=CS=5cm
BC=6cm
5cmȸޤ
⡼ޥ󤵤ƱͳڤäǤ
913ڡ 3:24:30 HomePage:39775
HirotakaUEDA
39774οǤޤ
R'B+BC+CS'16
R'BCS'
R'B+CS'*1/2+BC11
ΤȤBC6ѤȤʤޤ
913ڡ 11:40:00 39777
namba
ؤDz򤫤ƤƶäǤ
ϿؤǤ

RPBܢPBR=PBRܢABCRPB=ABCĭ
ƱͤˤƢSQC=ACBĭ
PRB
RB/sinRPB=PB/sin60PB=ABꡡRB/sinABC=AB/sin60ĭ
ƱͤˢQCSȡCQ=ACCS/sinACB=AC/sin60ĭ
ޤABCꡡAC/sinABC=AB/sinACBĭ
sinABCsinACB᭥ RB=CS
RB=CS=aȤ롣
PRB;ѤơPB^2=a^2-4a+16ĭ
CSQ;ѤơQC^2=a^2-7a+49ĭ
PRB;ѤơcosRPB=(16+PB^2-a^2)/(8AB)ĭ
ABC;ѤơcosABC=(AB^2+BC^2-AC^2)/(2ABBC)ĭ
PB=ABCQ=AC a 졢򤯤
a=19/25
a=19/2 BC ͤˤʤΤŬ
a=5BC=6
913ڡ 12:33:52 39778
namba

ְ㤨ޤ
ֳؤDz򤫤ƤƶäǤפǤϤʤֳ󻻿Dz򤫤ƤƶäǤפǤ
913ڡ 12:35:11 39779
̤ꤹ
˫줿ΤǤϤʤɡؤǤʤ顢ʤɸϤƳơR=(0,0)S=(16,0)B=(b,0)C=(c,0)P=(2,23),Q=(25/2,73/2)Ȥ롣
ǡBPμ60žȡ
((b+8)/2,3*b/2)
ޤCQμ-60ž롣
((c+2)/2,(163-3c)/2)
ȡϰפΤǡϢΩ򤤤ơb=5c=11äơBC=6
913ڡ 13:13:34 39780
uchinyan
Ϥˤϡơϡ
ϤȹͤڤǤʴǡ

(ˡ1)
ޤ餫ˡִ = 60롤AB = BP = PAAC = CQ = QAǤ
A BC ˡB PR ˡC QS ˡ줾򲼤줾­ HIJ Ȥޤ
ABH = ABC = 180- PBA - PBR = 180- PRB - PBR = BPR = BPIAHB = 90= BIPAB = BP ꡤ
ABH BPIBH = PI = PR - RI = 4 - RI ǡޤPRB = 60 RB = RI * 2 Ǥ
ƱͤˤơACH CQJCH = QJ = QS - SJ = 7 - SJSC = SJ * 2 Ǥ
ǡ
RB + BC + SC = RSRI * 2 + BC + SJ * 2 = 16BC + (RI + SJ) * 2 = 16(RI + SJ) * 2 = 16 - BC
BC = BH + CH = (4 - RI) + (7 - SJ) = 11 - (RI + SJ)
BC * 2 = 22 - (RI + SJ) * 2 = 22 - (16 - BC)BC = 22 - 16 = 6 cm
ˤʤޤ

(ˡ2)
ޤ餫ˡִ = 60롤AB = BP = PAAC = CQ = QAǤ
BPR B β˻ײ˲ž P A ˽Ť R ΰư R'
CQS C βȿײ˲ž Q A ˽Ť S ΰư S'Ȥޤ
ȡR'BR = PBA = PRB = AR'BR'A//RBS'CS = QCA = QSC = AS'CS'A//SCȤʤäơ
RBCS ƱľˤΤǡR'A//RSS'A//RSR'AS' Ʊľˤ R'S'//RSȤʤޤ
ˡS'R'B = AR'B = ִ = 60= AS'C = R'S'C ʤΤǡR'BCS' Ѥ 60ˤʤޤ
ǡRB = R'B = S'C = SC Ǥ
ꡤR'S' = R'B/2 + BC + S'C/2 = RB/2 + BC + SC/2 = RB + BC Ǥ
ǡR'S' = R'A + S'A = PR + QS = 4 + 7 = 11ʤΤǡRB + BC = 11Ǥ
ˡRB * 2 + BC = RB + BC + SC = RS = 16 ʤΤǡRB = 16 - 11 = 5 cm = SCBC = 6 cmˤʤޤ

(ˡ3)
ޤ餫ˡִ = 60롤AB = BP = PAAC = CQ = QAǤ
RP αĹ DRS E ä A DE ˤ ѷDRE ޤ
ƱͤˡSQ αĹ FRS G ä A FG ˤ ѷFGS ޤ
A DE FG θˤʤäƤޤ
ˡRD αĹ SG αĹθ T Ȥޤ
ȡTRS ѷǡTR = TS = RS = 16 cm ˤʤꡤTDAG ʿԻշˤʤޤ
ʾβǡ
BPR = 180- PRB - PBR = 180- PBA - PBR = ABEƱͤˤ RBP = EABBP = AB ꡤBPR ABE
ƱͤˤơɡBPRABEPAD ϹƱCQSACGQAF ϹƱˤʤޤ
ǡ
TR = TD + DP + PR = GA + DP + PR = QS + RB + PR = 7 + RB + 4 = 16RB = 5 cm
TS = TF + FQ + QS = DA + FQ + QS = PR + SC + QS = 4 + SC + 7 = 16SC = 5 cm
RS = RB + BC + SC = 5 + BC + 5 = 16BC = 6 cm
ˤʤޤ

¤ϡǽ˻פդΤϿءѴؿǤ򥢥󥸤ľΤ(ˡ1)Ǥ
(ˡ2)ϡžȤʵƹͤˡǤ빽򤤤ʡ
(ˡ3)ϡ¤¾ΥȤǻ褦ʿޤäΤפФƹͤդˡǤ
ˡȤƤϡλĤǤϰ֤줤ʤ褦˻פޤ
ͥνȡ 913ڡ 13:54:55 39781
uchinyan
ǼĤɤߤޤ
ִ = 60롤AB = BP = PAAC = CQ = QAǤäƤʤۤȤɤǤϡޤ餫ǤΤ͡

#39770#39772#39775#39781(ˡ3)
դ 16 cm 礭ѷꡤˡȤȤѷˤѷ򤽤줾Ĥĺäƹͤˡ

#39771#39773#39781(ˡ1)
A BC ˡB PR ˡC SQ ˡ줾ľѻѷäƹͤˡ

#39774#39777#39781(ˡ2)
BPR CQS 򤽤줾 B C 濴˲ž A ˽Ť͹碌ƹͤˡ

#39778#39780
ؤˤˡ
ͥνȡ 913ڡ 13:56:26 MAIL:uchi@sco.bekkoame.ne.jp 39782
ӤҤ
ȤƤڤ򤫤Ƥ餤ޤǤ®Żˤɤޤ
913ڡ 14:54:04 39783
ϥ饮㡼ƥ
ѴؿȤäƳ2ѿĹ5ѿ7ĤꡢMATHEMATICA˲򤫤
줬򤱤ΤǤ
913ڡ 17:44:04 HomePage:湩ؤ˥39784
ͣ.ǥ
褦䤯ˡDz򤱤ޤңСӣѤαĹθġ̤ģҡģӤʿ줾졡
ģӡģҤȸšƤȤޤ
ȡţѢᢤѣӣáƣТᢤУң¡Ȥʤä
š7ơᣴ
ͳѷģƣŤʿԻշ顡ģơ7ģš4
衡ãӡѣš16-7-45
ң¡ƣС16-7-45
£á16556
äȡޤȤ˲򤱤ա
913ڡ 20:46:33 39785
Ȥ
ɸ֤ޤ

ɸR(0,0),B(a,0),C(b,0),S(16,0),P(2,2*sqrt(3)),Q(25/2,7*sqrt(3)/2)֤
ǢPBR=a,QCS=b֤
ľBA:y=-tan(a+%pi/3)*(x-a)=-(tan(a)+sqrt(3))*(x-a)/(1-sqrt(3)*tan(a))
=(-(2*sqrt(3)/(a-2)+sqrt(3))*(x-a)/(1-sqrt(3)*2*sqrt(3)/(a-2))=-sqrt(3)*a*(x-a)/(a-8)
ľCA:y=tan(2*%pi/3-b)*(x-b)=(7*sqrt(3)/(25-2*b)+sqrt(3))/(1-sqrt(3)*7*sqrt(3)/(25-2*b)));
=sqrt(3)*(b-16)*(x-b)/(b-2)
θAAP=AB,AQ=ACa,bͤx=BC=16-a-(16-b)=b-a
xmaimaǵ
e1:y=-sqrt(3)*a*(x-a)/(a-8)$
e2:y=sqrt(3)*(b-16)*(x-b)/(b-2)$
solve([e1,e2],[x,y])$
part(%,1)$
rhs(part(%,1))$
rhs(part(%th(2),2))$
factor((%th(2)-2)^2+(%-2*sqrt(3))^2-((%th(2)-a)^2+%^2))$
factor((%th(3)-25/2)^2+(%th(2)-7*sqrt(3)/2)^2-((%th(3)-b)^2+%th(2)^2))$
part(num(%th(2)),2)$
part(num(%th(2)/-1),1)$
e3:%th(2)$
e4:%th(2)$
e5:x=b-a$
solve([e3,e4,e5],[a,b,x])$
part(%,2);[a=5,b=11,x=6()]
˭ԡ 914ʶ 6:25:26 39786
Ф
Ρ褦äȤΤdzȳڤ˲򤱤ޤ
913ڡ 21:43:43 39787
ϺĹ
⥹⡼ޥ󤵤󡢿ڤƱ͡գѷĤꡢåʤȤˣĴ˸Ĥꡢ£á᣶Ǥ뤳ȤʬäΤǤåä顦
β٤ޤ(Ƥ٤ϰʤȻפäƤΥۤˡƥХƤ⡩
913ڡ 21:56:57 39788
դޤ
ξɤλѷ򤽤줾BC濴˲žȤޤǤפ⤫ӤޤĤäξȲ򣱡Ọ̇̄ʻפߤ򤷤ƤޤۤʲƤޤޤȤۤۡ
913ڡ 22:52:29 39789
mukku
äѤϳڤʤ
914ʶ 1:14:17 39790
Ϸʼ
̤ңӤʿԤ
ȣңФαĹȤθͤȤѣӤȤθΤȤ롣
УҤ1դȤѷңӾؤȤ롣
أϣңФʿԤȤʤ롣
ʢУңؤȿײ˲žȤΣؤεס
ͣᣴʣΡ᣷
ͣҡᣵʣݣݣˡأң
£áңӡݣңӡݣãӡ᣶
915ڡ 17:33:48 MAIL:takaaki-k@aqr.bbiq.jp 39791
ޥ
äȥƥȽ񤭹ߡʥФ򤤤äƤޤäΤǡ
MacBookAir 919ʿ 17:56:07 HomePage:֥39792