ߤ
Ѥ
ʤ˻ѷУ£áģդѤ٤ջѷ
ʤ˻ѷѣУáģդľջѷ
ιפΤ褦ʵޤ
71ڡ 0:16:58 50623
鯤ο
ޤϡؤǡ
AB=aAQ=b,AP=cȤȡ

ABCa^2/4
APQbc/4
顢PBCQ(a^2-bc)/4

;Ȥäơa^216(2+3)
2Ȥäbc16(3-1)
ơPBCQ12
//
AQ=PBȤޤǤ
71ڡ 0:18:51 50624
Ȥ
ʬPQ=BCϻȤ鷺ȤǤ
դϤɤ餫ǤȻפޤ!!

ɸA(0,0),B(4+2*sqrt(3),-2),C(4+2*sqrt(3),2),D(4+2*sqrt(3),0)
A,B濴ˤ줾Ⱦ¤Ĺִ=aαߤ
ľAC:y=(2-sqrt(3))*x,ľAB:y=-(2-sqrt(3))*x
ȤθQ,P,QľAB˿򲼤­RȤ
QR/PR=tan(15)=2-sqrt(3)Ȥִ=aޤ
AC=2*(sqrt(6)+sqrt(2))AP
ִݤ2դsin(A)ǢAQP
ABC=8+4*sqrt(3)ƢPBCQǤ Maxima

load(sqdnst)$
part(solve([x^2+y^2=a^2,y=(2-sqrt(3))*x],[x,y]),2)$rhs(part(%o2,1))$rhs(part(%o2,2))$
factor(sqrtdenest(%o3))$factor(sqrtdenest(%o4))$
part(solve([(x-2*(2+sqrt(3)))^2+(y+2)^2=a^2,y=-(2-sqrt(3))*x],[x,y]),2)$rhs(part(%o7,1))$rhs(part(%o7,2))$
factor(sqrtdenest(%o8))$factor(sqrtdenest(%o9))$
part(solve([y=(x-%o5)/(2-sqrt(3))+%o6,y=-(2-sqrt(3))*x],[x,y]),1)$rhs(part(%o12,1))$rhs(part(%o12,2))$
factor(((%o5-%o13)^2+(%o6-%o14)^2)/((%o10-%o13)^2+(%o11-%o14)^2)-(2-sqrt(3))^2)$
rat(rhs(part(solve(num(%),a),1))),algebraic$
rootscontract(%)$
factor(8+4*sqrt(3)-(2*(sqrt(6)+sqrt(2))-%)*%/4)$
rootscontract(expand(%));12()
˭ԡ 71ڡ 1:37:17 MAIL:fttnm528@ybb.ne.jp 50625
ǯ
CPBջѷˤʤ뤳ȤξݤǤä

ABCȿžơ¦ˡACBA򤯤äĤơʿԻշ롣
PιԤP'ȤȡP'Q=BC=4
ޤPQP'ѷʤΤǡPQ=BC=4
Q顢AB˿ơRȤ롣
QR=AQ/2=PB/2
PBMȤ
PQRCBMʤΤǡCMPB
äơCPBջѷ
PC=BC=4
QPC=90
QPCľջѷʤΤǡ
4*4/2=8cm2
CPBĺ30ջѷʤΤǡ
4*4/4=4cm2
ͳѷPBCQϤ2Ĥ碌,
12cm2
71ڡ 1:49:38 50626

ACˤĤоΤˢAB'CĤȡ
AP=AP'=PP', AP=CQ
QPCP'4cm4cm
PCB=75-45=30롡ʤΤ
PBCز­HȤ
PH=1/2PC=2cm äƵѤ
442+422=12cm^2

ʿޤǤ
https://d.kuku.lu/6e4fff475
71ڡ 2:18:53 50627
ֿء׾ι
ľջѷĺ30ջѷʬ뤳Ȥ
դޤ
71ڡ 2:42:11 50628
Ȥ
#50625
APQ=15Ȥ鷺ȤǤޤ!!
äûʤޤ!!

ɸA(0,0),B(4+2*sqrt(3),-2),C(4+2*sqrt(3),2),D(4+2*sqrt(3),0)
A,B濴ˤ줾Ⱦ¤Ĺִ=aαߤ
ľAC:y=(2-sqrt(3))*x,ľAB:y=-(2-sqrt(3))*x
ȤθQ,PQP=4ִ=aޤ
AC=2*(sqrt(6)+sqrt(2))AP
ִݤ2դsin(A)ǢAQP
ABC=8+4*sqrt(3)ƢPBCQǤ Maxima

load(sqdnst)$
part(solve([x^2+y^2=a^2,y=(2-sqrt(3))*x],[x,y]),2)$rhs(part(%o2,1))$rhs(part(%o2,2))$
factor(sqrtdenest(%o3))$factor(sqrtdenest(%o4))$
part(solve([(x-2*(2+sqrt(3)))^2+(y+2)^2=a^2,y=-(2-sqrt(3))*x],[x,y]),2)$rhs(part(%o7,1))$rhs(part(%o7,2))$
factor(sqrtdenest(%o8))$factor(sqrtdenest(%o9))$
factor((%o10-%o5)^2+(%o11-%o6)^2-4^2)$
rat(rhs(part(solve(%,a),1))),algebraic$factor(sqrtdenest(%))$rootscontract(expand(%))$
factor(8+4*sqrt(3)-(2*(sqrt(6)+sqrt(2))-%)*%/4)$
rootscontract(expand(%));12()
˭ԡ 71ڡ 2:42:22 MAIL:fttnm528@ybb.ne.jp 50629
٥륯åĥ
BCP30٤ȲꤹȡʤʤȳѣУ£ä75٤ˤʤʤΤǴְ㤤ʤ30٤ȻפΤǤ75٤30٤ˡޤ狼ޤ
4˰4ѷϤĺΤƱǡˤۤƱΤä褦ʵ뤱ȻפФʤȤ
Ȥꤢ422+44212ʤΤϳμ¤Ȼפޤ
71ڡ 2:59:52 50630
ߤ
գԣӣãФȣУãңѤգУäܤ褦˽񤯡
ԣӣãФѷ£ӣä롣

ƤǤͳѷУ£ãѤϡʤȾʬ
ʤˣդĺѣ٤ջѷ碌ޡ

ʤ餳줰餤ǽʬʤ
71ڡ 4:28:08 50631
ֿء׾ι
դȻפäǤ

ܣУѡ15Ȥʤ褦Фգ¾¤
ưȤʬ£ФĹñĴäǡʬѤ
ĹñĴʤΤǡ£СѤȤʤΤϥˡ˷ޤΤ
ΤȤʬУѤĹϷޤäƤޤޤ
Ȥȡ⤷ơУѡ£äϼ­ʤΤȡ
71ڡ 6:38:14 50632
CE
Q45 PQC ι⤵ PH ȤȡAPQC Ⱦʬ
PHQHHC ȤʤΤǡѤ PC ξ岼ˤĺѤ
90 30ջѷ¤ǡ8412 cm^2 Ȥޤ
71ڡ 9:19:19 50633
Ȥ
#50625
PQ=BCȤʤƤǤ
#50629
APQ=15ȤʤƤǤ
AQ=BPȤʤƤǤˡ

ɸA(0,2*(2+sqrt(3))),B(-2,0),C(2,0)
P(a,(2+sqrt(3))*a+2*(2+sqrt(3)))
ľPQ:y=sqrt(3)*(x-a)+(2+sqrt(3))*a+2*(2+sqrt(3))
ľAC:y=-(2+sqrt(3))*x+2*(2+sqrt(3))
2ľθQPQ=4
Pxɸ=aޤ
P,Qʸޤޤʤͤޤ
ľPQľBCȤθRxɸ
PBCQ=(Cxɸ-Rxɸ)*Qyɸ/2-(Bxɸ-Rxɸ)*Pyɸ/2
ޤ롡Maxima

e1:y=sqrt(3)*(x-a)+(2+sqrt(3))*a+2*(2+sqrt(3))$
e2:y=-(2+sqrt(3))*x+2*(2+sqrt(3))$
part(solve([e1,e2],[x,y]),1)$
rhs(part(%o3,1))$rhs(part(%o3,2))$
factor((%o4-a)^2+(%o5-(2+sqrt(3))*a-2*(2+sqrt(3)))^2-16)$
rhs(part(solve(%,a),1))$
load(sqdnst)$factor(sqrtdenest(%th(2)))$rat(%),algebraic$
factor(%)$
expand(ev(%o4,a=%o11))$
expand(ev(%o5,a=%o11))$
expand(ev(a,a=%o11))$
expand(ev((2+sqrt(3))*a+2*(2+sqrt(3)),a=%o11))$
rhs(part(solve(0=sqrt(3)*(x-%o14)+%o15,x),1))$
expand(factor((2-%o16)*%o13/2-(-2-%o16)*%o15/2));12()
˭ԡ 71ڡ 10:01:10 MAIL:fttnm528@ybb.ne.jp 50634
Ȥ
#50625
PQ=BCȤʤƤǤ
#50629
APQ=15ȤʤƤǤ
AQ=BPȤʤƤǤˡ

ɸA(0,2*(2+sqrt(3))),B(-2,0),C(2,0)
P(a,(2+sqrt(3))*a+2*(2+sqrt(3)))
ľPQ:y=sqrt(3)*(x-a)+(2+sqrt(3))*a+2*(2+sqrt(3))
ľAC:y=-(2+sqrt(3))*x+2*(2+sqrt(3))
2ľθQPQ=4
Pxɸ=aޤ
P,Qʸޤޤʤͤޤ
ľPQľBCȤθRxɸ
PBCQ=(Cxɸ-Rxɸ)*Qyɸ/2-(Bxɸ-Rxɸ)*Pyɸ/2
ޤ롡Maxima

e1:y=sqrt(3)*(x-a)+(2+sqrt(3))*a+2*(2+sqrt(3))$
e2:y=-(2+sqrt(3))*x+2*(2+sqrt(3))$
part(solve([e1,e2],[x,y]),1)$
rhs(part(%o3,1))$rhs(part(%o3,2))$
factor((%o4-a)^2+(%o5-(2+sqrt(3))*a-2*(2+sqrt(3)))^2-16)$
rhs(part(solve(%,a),1))$
load(sqdnst)$factor(sqrtdenest(%th(2)))$rat(%),algebraic$
factor(%)$
expand(ev(%o4,a=%o11))$
expand(ev(%o5,a=%o11))$
expand(ev(a,a=%o11))$
expand(ev((2+sqrt(3))*a+2*(2+sqrt(3)),a=%o11))$
rhs(part(solve(0=sqrt(3)*(x-%o14)+%o15,x),1))$
expand(factor((2-%o16)*%o13/2-(-2-%o16)*%o15/2));12()
˭ԡ 71ڡ 10:01:10 MAIL:fttnm528@ybb.ne.jp 50635
Ȥ
ߤޤ#50635#50634Ʊ
Žդ˼ԤǤŽդ֤ƱȤΤ⡦
ߤΤǤޤǤʤ褦Ǥ͡
˭ԡ 71ڡ 10:10:00 MAIL:fttnm528@ybb.ne.jp 50636
⡼ޥ
#50627 Jޥޤ
䤫Ǥ͢

錄...⤦...^^;;

դ1դȤѷȤ...
4*(4+23)/2-(4(2-3)*23/2+4*(4-23)/2)
=12

ǤäȤ...޷Dz򤱤ʤѤޤ ^^;;;
71ڡ 15:07:23 50637
ɥȥ
ޤޤ񤷤äǤ
ΤˤʤäƤȡ2ĤλѷȤ߹碌äƵդʤʤ뤫ȡ
71ڡ 16:28:16 50638
ܥܥС
Фä˿ƣȡУȣѤľդˤʤäơģФȣ÷ǢУ㤣äˤʤ뤳ȤȡѡУ¤ڻȤʤäΤ԰¤Ǥ
71ڡ 16:40:26 50639
Ȼ
BCDEFȤꡢѷFCD
AQPᦤBFD , PBCᦤFBC , QPCᦤBCD ǤϤʤǤ礦
71ڡ 22:22:53 50640
Ȼ
BCDEFȤꡢѷFCD
AQPᦤBFD , PBCᦤFBC , QPCᦤBCD ǤϤʤǤ礦
72ʶ 6:00:42 50641
Mr.ǥ
ѴؿDz򤤤ơФ餯֤ƤΤǤDzľ鲼Τ褦ʲˡˤʤޤ
BC˴ؤAƱ¦ˡDCBD135롢BDAQȤʤ褦ˤȤ
BPDѷ
PDCBDC30Ȥʤ
PDCᢤBDCPCBC4
PQC45ꢤQPOľջѷ
BPCˤ­򡡣ȤȤ
£ȡ4/22Ȥʤ
ͳѷУ£ãѡ(1/2)x4x(4+2)=12
ʾȤʤޤ
72ʶ 14:00:25 50642
ͤͤ
Mr.ǥ󡢤䤫ʲˡȻפޤĤפĤޤǤ֢PDCBDC30Ȥʤפβս꤬褯ʬޤ󡣶ƤȹǤ
ϡAQCᢤBDCBDC30ȤʤPDC30Ȥʤȹͤޤ
PDCBDC30뤬äȴñʬˡפĤޤ
73ڡ 6:51:49 MAIL:rss70182@nifty.com 50643
ͤͤ
ޤ
ϡAQPᢤDBCBDC30ȤʤPDC30Ȥʤȹͤޤ
73ڡ 7:28:40 MAIL:rss70182@nifty.com 50644
ˤ
᤯Ƶ٤ߤˡʤäߤǤ
Ķļˡ 73ڡ 20:17:31 50645

CAB˿ߤ­DQAB˿ߤ­RȤȢBCDᢤQPR
AQR306090ľѻѷʤΤQRAQȾʬ
äBDBP
ʤΤǢBCPջѷBC=CPBCP=30
CP=PQȤʤꡢCQP=45Ǥ뤫颤CPQľջѷ
ȤѤη׻
äAB=AC=4ȻפäƤޤäͭˤʤ餺̵äƤȤˤʤΤǤäɤְ㤨ƤΤǺ³Ƥޤ
73ڡ 22:54:24 50646
Mr.ǥ
#50643 ͤͤ͡
PDCBDC30ˤĤơüޤꤹޤ褦Ǥߤޤ
ͤͤͤ󤬽񤫤Ƥ褦
֢AQPᢤDBCBDC30ȤʤPDC30פȹͤޤ
74 11:04:59 50647
٥륯åĥ
ABоݤμȤQоΤQ'ȤȡѷPQQ'CPBϹƱˤʤꡢCP=4PCB=30١
ǤǼǤˡˤʤäΤǽ񤭹ߤޤ
76ʲС 7:31:52 50648
٥륯åĥ
PQ=BCʤȡ޷դޤäƤ⡢ǤPQ=4ʤΤDz򤱤ʤʤäƤޤΤǤϡ
76ʲС 7:43:04 50649
ޤ
Ψι⤵Ȥ΢ʢ񤷤Ǥ orz
somewhere in the world 76ʲС 18:54:07 50650
ֿء׾ι
ѷABCѷDBC
D̤ABʿԤľACȤθEȤ롣
ѷADEջѷˤʤꡢAE=DE
äơABAE=BFʤFȤȡշBDEF
ʿԻշȤʤꡢFE=BD=BC=4롣

ȤΤϤɤǤ礦
77ʿ 16:41:27 50651

[PQ=BCξ郎ʤ]
B̤PQʿԤľQ̤BPʿԤľθDȤơADCDľǷ֡
ͳѷPBDQʿԻշǤΤDQ=BPBP=AQξ狼DQ=AQǤ뤫顢ADQջѷǤꡢQAD=QDA
ABQDǤ뤫BAD=ADQäơBAD=CADȤʤΤDBCοľʬˤ뤳ȤˤʤꢤBCDջѷ
DBC=75-15=60ǤΤǢBCDѷȤȤˤʤꡢBD=BC
BD=PQǤ뤫顢PQ=BC롣

[AQ=BPξ郎ʤ]
Ʊ褦DȤꡢADCDľǷ֡
ͳѷPBDQʿԻշǤΤBD=PQPQ=BCǤ뤫BC=BDǤꡢCBD=60Ǥ뤫颤BCDѷ
äDBCοľʬˤꡢޤABCοľʬˤ롣
BCοľʬϢBACʬǤ⤢뤫BAD=CAD
ABDQǤ뤫BAD=ADQäƢADQ=DAQǤΤǢADQջѷ
AQ=DQǤꡢBP=DQǤ뤫AQ=BP롣

[APQ=15ξ郎ʤ]
ƱͤDȤꡢADCDľǷ֡
ADQջѷǤ뤫ѤޤϢBADȤΤADϢBACʬǤꡢޤBCοľʬ
äơBCDջѷBD=CD
PQ=BDPQ=BCǤ뤫BD=BCǤꢤBCDѷ
Ȥϳٷ׻򤷤ƢAPQ=15뤬롣
78ڡ 22:33:30 50652
ޤ
#50639 ܥܥС
> Фȣ÷ǢУ㤣äˤʤ뤳
ѡУ¤Ȥ鷺ˢУã¢梤£äȤΤǤ礦ġ
Сޤm(_ _)m
somewhere in the world 79ʶ 0:12:20 50653
٥륯åĥ
#50652
ʤۤɡǵǤ͡
ٶˤʤޤ
79ʶ 0:41:58 50654
ޤ
#50652 ٤

ٶˤʤޤm(_ _)m꤬Ȥޤ
somewhere in the world 79ʶ 12:55:20 50655

[PQ=BCξ郎ʤ]
B̤PQʿԤľQ̤BPʿԤľθDȤơADCDľǷ֡
ͳѷPBDQʿԻշǤΤDQ=BPBP=AQξ狼DQ=AQǤ뤫顢ADQջѷǤꡢQAD=QDA
ABQDǤ뤫BAD=ADQäơBAD=CADȤʤΤDBCοľʬˤ뤳ȤˤʤꢤBCDջѷ
DBC=75-15=60ǤΤǢBCDѷȤȤˤʤꡢBD=BC
BD=PQǤ뤫顢PQ=BC롣

[AQ=BPξ郎ʤ]
Ʊ褦DȤꡢADCDľǷ֡
ͳѷPBDQʿԻշǤΤBD=PQPQ=BCǤ뤫BC=BDǤꡢCBD=60Ǥ뤫颤BCDѷ
äDBCοľʬˤꡢޤABCοľʬˤ롣
BCοľʬϢBACʬǤ⤢뤫BAD=CAD
ABDQǤ뤫BAD=ADQäƢADQ=DAQǤΤǢADQջѷ
AQ=DQǤꡢBP=DQǤ뤫AQ=BP롣

[APQ=15ξ郎ʤ]
ƱͤDȤꡢADCDľǷ֡
ADQջѷǤ뤫ѤޤϢBADȤΤADϢBACʬǤꡢޤBCοľʬ
äơBCDջѷBD=CD
PQ=BDPQ=BCǤ뤫BD=BCǤꢤBCDѷ
Ȥϳٷ׻򤷤ƢAPQ=15뤬롣
79ʶ 21:47:40 50656
ޤ
50658 ٤

Ƥʤǧ褦Ȥơ֥饦κɤ߹ߥܥ
åľƤƤƤޤ褦Ǥ

֥ڡפ򲡤ɤȷǼĤǿξ֤Ǥ褦Ǥ

somewhere in the world 79ʶ 22:49:03 50659