ߡ
ѷȾʬġ
ȤˡȤϸʤʤ
71ڡ 0:05:30 MAIL:amimorisama@hotmail.com 36401
㡼ߡ
޷ǤɤäƲ򤯤ΤǵŪ˲򤭤ޤ
Ȥ礦Ȥ䤯 71ڡ 0:10:11 MAIL:kakuromaster@star.cims.jp 36402
fumio
Фϡѷΰưѷ򸫤Ĥޤ
5᭡+ȤȤǡ⤷äǤ
ǤϤޤ͡
71ڡ 0:16:05 36403
ݤä
14áTaroͤǤ
71ڡ 0:20:55 36404

QPBCƱ߼ˤ
QPRѷˤʤ褦RACˤȤ
APCջѷʤΤARQC
äAR;RQ2:1äQP5/3
ְäƤġ
71ڡ 1:04:34 36405

QPBCƱ߼ˤ롢Ȥϸʤ⤷ޤ
ߤޤǤ
71ڡ 1:29:48 36406

겡ѴؿǴ⹻ء

QPBCƱ߼ˤޤ(QPA=QCB)
71ڡ 1:38:41 36407
ͣ.ǥ
ѴؿȤäƥꥴȡʤޤ䡢ηäؤϤŤǤϤ
ܤܤȻǤͤƤߤޤ
71ڡ 1:54:28 36409
ma-mu-ta
PQBCαĹθRȤQCαĹSȤäѷQRSȡ
AQP梤ABC梤RSC
ΤȤQRBQBRȤʤꡢQRBջѷ
QRQB5ꡡRSQSQR5
ȡAQRS5ꢤAQPᢤRSC顢QPSC
QPQCSCQCQS5QPQC12
QP51/(12)5/3
71ڡ 2:35:54 36410
abcba@jugglermoka
äƻ?
ФAC˿򲼤ACȤθDȤТPAQ梤CABˤ
2AD:AB=AC:ABʤΤDACˤʤ롣PQ=5/3ȵޤ롣
71ڡ 7:50:52 36411
CRYING DOLPHIN
QCBưƢRDAĤ롣ưBA˰פ
ưCABˤꡢưQCACȸʤ
QBCRADoABQQABxȤȡ60١ox180١oooxxx
ȡAQRѷǤ[]PQRˤ뤳Ȥ狼롣
ˡDPRRDPoxxʤΤǡRDPRDRPջѷ[]

RPRDQCǤ뤳ȤȡQPQC5cmQPQC12
ꡢ535/3cm

Τʺޤ򤷤5/3ȤɥΤΩڤ
Ԥ߽ФʲˡǤ
QBCȢRAPƱǤʤäȤƻ()Ǥ...

ï⤤ʤԳϡ 71ڡ 9:28:04 HomePage:ƻ36412
uchinyan
Ϥˤϡơϡ
Ϥ˻ΤǤʿ̴餷ϡפꡤȤǡä괮ǽƤޤޤ (^^;

(ˡ1)
BPQ B β˻ײ˲ž BP BC ˽Ť͡PQ ΰư P'Q' Ȥޤ
ȡBQ = BQ'QBQ' = QBP' + P'BQ' = QBC + PBQ = PBC = ABC = 60ʤΤǡ
BQQ' ѷǡQQ' = QB = AQ = 5cm Ǥ
ˡBP'Q' = BPQ = QAP + AQP = CAB + 60= CAB + ABC = P'CA P'Q'//AC ǡ
QQ' BP' Ȥθ R ȤȡP'Q'R CQR ˤʤޤ
ˡ
QRC = QRB = 180- RBQ - RQB = 180- (CBA - QBA) - Q'QB
= 180- (60- CAB) - 60= CAB + 60= P'CA = QCR
ꡤCQR QR = QC ջѷǡP'Q'R Q'R = Q'P' ջѷˤʤꡤ
QP + QC = Q'P' + QC = Q'R + QR = QQ' = 5 cm Ǥ
ǡQPQC = 12 ꡤQP = 5 * 1/(1 + 2) = 5/3 cm ˤʤޤ

BCQ B βȿײ˲ž BC AB ˽ŤͤѷäƤ⡤ƱͤˤǤޤ
ʬ䤹Ǥ͡

(ˡ2)
QP P ˱Ĺ QD = 5 cm Ȥʤ D ޤȡQAD ѷǤ
ˡAB ϤαĹ DEA = DAB Ȥʤ E ȤޤDAE DA = DE ջѷǤ
ȡDEPQBC ˤơ
DE = DA = QA = QB = 5 cm
DEP = DEA = DAE = DAQ - QAB = 60- QAB = CAB - QAB = QBC
DPE = QPA = 180- QAP - AQP = 180- CAB - ABC = ACB = QCB
EDP = 180- DEP - DPE = 180- QBCQ - QCB = BQC
ꡤDEP QBC ȤʤꡤDP = QC ˤʤޤ
ǡQP + QC = QP + DP = QD = QA = 5 cmQPQC = 12 ꡤQP = 5 * 1/(1 + 2) = 5/3 cm ˤʤޤ

(ˡ3)
ǤϤʤǤ
AQP = 60= CBP ꡤQPBC ϱߤܤޤޤQA = QB QAB = QBA Ǥ
ǡPCQ = PBQ = QAP ʤΤǡPAC PA = PC ջѷǤ
ǡP AC ˿򲼤­ H ȤȡAH = CH Ǥ
ǡPQA = 60 QH = PQ/2 ˤʤꡤAH = CH = CQ + QH = PQ * 2 + PQ/2 = PQ * 5/2 Ǥ
ꡤAQ = AH + QH = PQ * 5/2 + PQ/2 = PQ * 3AQ = 5 cm ꡤPQ = 5/3 cm ˤʤޤ

ޤޤꤽǤ͡

ǼĤɤΤ٤ʤ뤫⤷ޤ󡥡
ͥνȡ 71ڡ 14:33:50 MAIL:uchi@sco.bekkoame.ne.jp 36413
ͣ.ǥ
ȤDz򤭤ʤޤ
£äΣ¦Ĺˣ¡£ĤǤĤȤäơѷ£ĤĤꡢ£ĤͤȤޤ
Ѥ¡£Ĥ˿ѣȡѣȡǤ򤪤ȢѣУȢ梤ѣãȡǤȤʤ
ѣȡѣȡǡᣱѣ¡ᢤͣѣ
äơ£ѤαĹȣ͡Ĥθ򤽤줾šƤȤ
šţ
ģäȣ£Ƥǡͥ饦
ơƣġ12ͣơ¡13
УѢ梤ã¡ꡢУѡ1/3ˣѡ5/3ʢ
Ƥʤʡ
ɵ͡ʢ˥ץߥäΤǽޤ
uchinyan󡡤Ŧͭ񤦤ޤ
71ڡ 19:26:52 36414
ޥ
ȡϡACαĹˡRBA=90ȤʤRȤꡢRBC˿RH򡢤ޤQAB˿QIȤäơRHCᢤQIPƳȤͤƤޤ
71ڡ 15:57:30 36415
ϥ饮㡼ƥ
ޤ5/2ʤȻפäܤʤΤ5/3ˤޤ˶Ǥ
71ڡ 16:16:21 HomePage:ϥ饮㡼ƥ湩36416
uchinyan
ǼĤɤߤޤ
ˤϡޤǤƤʤˡĤޤ (^^;

#36401#36403
ǰʤ顤ѷȤɤϤΤΡܺ٤ʬʤˡǤ

#36402#36407#36409
ؤˤˡ

#36405
QPBC ߤܤ뤳ȡAPC ջѷˤʤ뤳ȡȤ
ˡQPR ѷˤʤ褦 R AC ˼äƹͤˡ

#36410
PQBCαĹθRȤQCαĹSȤäѷQRSȡ
Ȥƹͤˡ

#36411
ФAC˿򲼤ACȤθDȤТPAQ梤CABˤ
2AD:AB=AC:ABʤΤDACˤʤ롣
Ȥƹͤˡˤϡ2AD:AB=AC:ABפɤƤΤʬʤǤ (^^;

#36412
䢤QCBưƢRDAĤ롣ưBA˰פ
ưCABˤꡢưQCACȸʤ
ȤƹͤˡϡޤɤڤƤޤ (^^;

#36413(ˡ1)
BPQ B β˻ײ˲ž BP BC ˽Ťͤѷäƹͤˡ
Ʊ褦ˤơBCQ B βȿײ˲ž BC AB ˽Ťͤѷäƹͤˡ⼨Ƥޤ

#36413(ˡ2)
QP P ˱Ĺ QD = 5 cm Ȥʤ D äѷꡤ
ˡAB ϤαĹ DEA = DAB Ȥʤ E äջѷäƹͤˡ

#36413(ˡ3)
QPBC ߤܤ뤳ȡAPC ջѷˤʤ뤳ȡȤˡ
#36405ȤۤƱǤ㴳ݤǤ

#36414
£äΣ¦Ĺˣ¡£ĤǤĤȤäơѷ£ĤĤꡢ£ĤͤȤޤ
θ塤ѷͳǡͥ饦ʤɤȤäƲ򤯲ˡ
ʤ
䢤УѢ梤ã¡ꡢУѡ1/3ˣѡ3/5
ABF ABC ȤäƤ褦ǤǸ 5/3 Ǥ (^^;

#36415
ޥ뤵
ACαĹˡRBA=90ȤʤRȤꡢRBC˿RH򡢤ޤQAB˿QIȤäơRHCᢤQIPƳ
Ȥˡʤۤɡϴñ

#36416
ͥνȡ 71ڡ 18:27:31 MAIL:uchi@sco.bekkoame.ne.jp 36417
(Keigei)
٤ʤޤ

QAQB ͳѷQPBCߤܤ뤳Ȥ顢PAQPBQPCQ
äơPAC AC դȤջѷˤʤ롣
PQRѷˤʤ褦ˡʬ AQ R Ȥȡ
CRAQ 顢3QP5cmQP(5/3)cm ˤʤޤ
71ڡ 18:45:47 36418

;򣲲Ĥä
β狼ޤǤ
71ڡ 19:40:27 36419
⡼ޥ
Ʊ...
狼餺...^^;
5^2+x^2-10x*cos60=x^2+4x^2+4x^2*cos60
6x^2+5x-25=(2x+5)(3x-5)=0
x=5/3
72ʶ 17:13:36 36420
ɡɤ
ñФʤ

72ʶ 21:45:47 36421
Ȥ
ɸ֤ޤɸˤΤ䤹3ƥåפ餤ǤǤޤ

ޤɸ
A(-5,0),Q(0,0),C(2*a,0),P(-a/2,-sqrt(3)*a/2)֤Ȥˤ
A,P̤ľ
e1:-sqrt(3)*a/2=k*-a/2+l$
e2:0=k*-5+l$
solve([e2,e3],[k,l]);k=sqrt(3)*a/(a-10),l=5*sqrt(3)*a/(a-10)
ľAP:y=sqrt(3)*a*x/(a-10)+5*sqrt(3)*a/(a-10)
x^2+y^2=25ȤθBʤΤǤ
e3:y=sqrt(3)*a*x/(a-10)+5*sqrt(3)*a/(a-10)$
e4:x^2+y^2=25$
solve([e3,e4],[x,y]);x=-(5*a^2+50*a-250)/(2*a^2-10*a+50),y=(5*sqrt(3)*a^2-50*sqrt(3)*a)/(2*a^2-10*a+50)
(2*a,0)ȤεΥ
factor((2*a+(5*a^2+50*a-250)/(2*a^2-10*a+50))^2+(0-(5*sqrt(3)*a^2-50*sqrt(3)*a)/(2*a^2-10*a+50))^2);
25*(a-10)^2/(a^2-5*a+25)
5*(10-a)^2/sqrt(a^2-5*a+25)
B(-5,0)ȤεΥ
factor((-5+(5*a^2+50*a-250)/(2*a^2-10*a+50))^2+(0-(5*sqrt(3)*a^2-50*sqrt(3)*a)/(2*a^2-10*a+50))^2);
(4*a^4-10*a^3+225*a^2-625*a+625)/(a^2-5*a+25)
sqrt(4*a^4-10*a^3+225*a^2-625*a+625)/sqrt(a^2-5*a+25)
ǢABC;Ѥ
(2*a+5)^2=25*(a-10)^2/(a^2-5*a+25)+(4*a^4-10*a^3+225*a^2-625*a+625)/(a^2-5*a+25)-(5*(10-a)/sqrt(a^2-5*a+25))*(sqrt(4*a^4-10*a^3+225*a^2-625*a+625)/sqrt(a^2-5*a+25))
mupad light 2.5.3 Dz򤯤
solve((2*a+5)^2=25*(a-10)^2/(a^2-5*a+25)+(4*a^4-10*a^3+225*a^2-625*a+625)/(a^2-5*a+25)-(5*(10-a)/sqrt(a^2-5*a+25))*(sqrt(4*a^4-10*a^3+225*a^2-625*a+625)/sqrt(a^2-5*a+25)),a);
a=10(Ŭ),5/3
˭ԡ 74 14:37:17 MAIL:fttnm528@ybb.ne.jp 36422
ɡǤ
ɡɤ󡢤Ϥޤ礦
̩ä 76ʲС 20:05:47 36423
uchinyan
Ϥ٤ߤǤ͡äꤷƤޤ (^^;
ͥνȡ 78ڡ 10:13:26 MAIL:uchi@sco.bekkoame.ne.jp 36424
ϥ륫
ޤˤޤ󡰡
äȵդǤ
ͳѷBPQCϱߤܤΤǡPQR:QBC=PQ:QC=1:2Ȥʤäơ
QBP=20롡QBC=40ȤΤΤǤ礦
714ʿ 0:57:53 36425
ݤä
#36425PQ:QC12ɸPQQC12ǤʤȻפޤ
714ʿ 7:20:44 36426