٥륯åĥ
BDޤ֤CC'˰ܤȡѷABC'AB=AC'ջѷA򲼤ѷȾʬǤƳABD=30١ä45٤ˤʤޤ
430ڡ 0:08:24 49025
٥륯åĥ
Ǥ
430ڡ 0:09:08 49026
Mr.ǥ
٥륯åĥΡ
#49025 ȤޤäƱǤ
430ڡ 0:17:24 49027
Ȥ
ɸA(1,0),B(a,a),C(-1,0),D(0,0)Ȥ
BCD,DBA;
cos(CBD)=((a+1)^2+3*a^2-1)/(2*sqrt((a+1)^2+a^2)*sqrt(2*a^2))
cos(DBA)=((a-1)^2+3*a^2-1)/(2*sqrt((a-1)^2+a^2)*sqrt(2*a^2))
cos(2*CBD)=cos(DBA) aޤ
cos(DBA)롡XMaxima

trigsimp(trigexpand(cos(2*a)))$
factor(ev(%,cos(a)=((a+1)^2+3*a^2-1)/(2*sqrt((a+1)^2+a^2)*sqrt(2*a^2))))$
factor(%o2-((a-1)^2+3*a^2-1)/(2*sqrt((a-1)^2+a^2)*sqrt(2*a^2)))$
ev(num(%o3),abs(a)=a)$part(%,1)+part(%,2)$%th(2)-%$factor(%th(2))$
factor(ev(((a-1)^2+3*a^2-1)/(2*sqrt((a-1)^2+a^2)*sqrt(2*a^2))
,part(solve(expand(%^2-%th(2)^2),a),4)))$
rat(%),algebraic;sqrt(3)/2
cos(BAD)=sqrt(3)/2 ǢBAD=30 CBD=15
ABC=BAD+CBD=45롦()

cos(DBA)=(1-sqrt(7))/4Ǥ⤢
DBA=114.3٤餤Ǥ⤦ΤǤ
βǤϾʤޤ!!
˭ԡ 430ڡ 1:00:00 MAIL:fttnm528@ybb.ne.jp 49028
³bot
ABDȢCBDǤ줾ѤơBD2̤ˡɽȤDz򤭤ޤ
430ڡ 1:06:12 49029
Ȥ
#49028

ʥ쥹Ǥߤޤ

>cos(DBA)=(1-sqrt(7))/4Ǥ⤢
>DBA=114.3٤餤Ǥ⤦ΤǤ
>βǤϾʤޤ!!

ʸ褯ɤ
οޤΤ褦ʢABCޤȤ뤫
ABCϱԳѤ1ĤǤ͡
ˤߤޤǤ!!
˭ԡ 430ڡ 1:23:45 MAIL:fttnm528@ybb.ne.jp 49030
SECOND
! #49020 ƱͤǤ͡BASICǼ¹ԡ̢ABC= 45

OPTION ARITHMETIC COMPLEX
LET B=0
LET D=1
LET x45=EXP(COMPLEX(0,-PI/4))
DO
LET C=D+x45
LET A=D-x45
LET A_C=arg((A-B)/(D-B))/arg((D-B)/(C-B))
LET D=D+(A_C-2)*1.595
LOOP UNTIL A_C=2
PRINT "ABC=";arg((A-B)/(C-B))*180/PI;""
430ڡ 3:24:39 49031
ǯ
AECDѷABE¦ˤäĤ
濴DBC٤.....ѷĺ3/4γ٤Ȥʤ롣
轵ϡѷ¦ˡ
ϡѷγ¦ˡäĤΤǤ͡

430ڡ 4:06:12 49032
ֿء׾ι
ľǤ񤭹ߤ򸫤ٶޤ
430ڡ 6:44:10 49033
Ф
٥륯åĥ#49025θȤC'äABDCǤʿԻշȻפǤ⤿ĤƤޤä𤱤ʤ
430ڡ 6:44:37 MAIL:hbmath1965@yahoo.co.jp 49034
Ф
1֤ϼ¤ĹʤΤɤǤ礦

AB=BCAD=CD̻ͳѷABCD롣BCEADFȤ
CFEFAE֡
CFDѤ11CEFѤ5λAEFѤʤ
430ڡ 8:33:02 MAIL:hbmath1965@yahoo.co.jp 49035
鯤ο
#49025

٥륯åĥϡĤԤιԴ֤Τ
빽ϫ롣

ʤ䴰ʴǤ礦

ľBD˴ؤA,Cо򤽤줾졢A'CǤȤAA'BB'θEȤ롣

AD=DC顢A'DC'D
DϢAA'CC'гߤ2ʬΤǡAA'CC'ʿԻշǤ롣
ˡADB45A'DB=45ǡADA'90ADA'D顢ADA'ľջѷ
ADC'90顢ADC'ľջѷǡADA'ᢤADC'顢AA'AC'
ޤA'AC'45+4590
äơAA'CC'ϡ

AC'AA'AA'BD顢AC'//BD
ѤˤꡢAC'BC'BD
ABDDBC2ܤǤ뤳ȤꡢC'ϡABD2ʬˤΤǡ
ABC'C'BD
äơAC'BC'BDABC'
äơABC'ϡAB=AC'ջѷ

AE=A'Eȡꡢ
AE1/2AA'1/2AC'1/2AB
AEBEꡢABEѷȾʬȤʤꡢABE30
(BAA'ѷ)
äơABC3/2ABE45
//
430ڡ 10:20:15 49036
̻
٥륯åĥȻǤñ⡣
BD˴ؤƢABDޤ֤A'BDȡ
¦ʬľջѷ¿Ǥޤ
(㤨СACA')A'CBDʿԤˤʤΤǡ
CBDBCA'äƢBCA'ջѷ
ľջѷǤ뢤ACA'Ȥ߹碌ȡ
ABA'ѷǤ뤳Ȥ狼ꡢ
Ȥϼ

ᡢCBDȿײ180ٲžƹΤ
ͤޤޤޤǤ
ήDz򤱤͡ɤʤޤ󤫡
430ڡ 11:21:09 49037
Ȥ
#49035

ߤޤǡ111/14()
ϤޤȤƤʤΤǺϡ
˭ԡ 430ڡ 12:00:00 MAIL:fttnm528@ybb.ne.jp 49038
鯤ο
#49035

¸ߤ뤳Ȥ򼨤ƤʤΤǡɤǤ

(1)DAAؤαĹȡCBBؤαĹGǸȤ

DGCȤȤ

GAaAF=FDs
GBbBE=ECt
Ȥ

CFDᢤGCD-GCF(sin/2)*s(b+2t)11
CEFᢤCGF-EGF(sin/2)*(a+s)t5
ABDᢤCBDꡢ
(sin/2)*2sb(sin/2)*(a+2s)2t



(sin/2)*st2
(sin/2)*at3
(sin/2)*bs7

AEFᢤGFE-GAE(sin/2)*s(b+t)2+79

(2)DADؤαĹȡCBCؤαĹGǸȤ
DGCȤȤ

GAaAF=FDs
GBbBE=ECt
Ȥ

(1)ƱͤΩơ򤯤ȡ

(sin/2)*st-2
Ȥʤꡢ̷⡣Τ褦ʾϤʤ

(3)AD//BCΤȤ
BCD10
ABD22
ȤʤꡢABDᢤCBD̷ȤʤꡢΤ褦ʾϤʤ

äơ
AEF9
//

430ڡ 12:00:20 49039
鯤ο
#49035

¸ߤ뤳Ȥ򼨤ƤʤΤǡɤǤ

̵뤷Ƥ
430ڡ 12:01:19 49040
Ȥ
#49038

ߤޤְ㤨ǡͤľޤ!!
˭ԡ 430ڡ 12:04:36 MAIL:fttnm528@ybb.ne.jp 49041
ե󥿥
Ǥ
ȤƤ񤷤äΤǡ
ʤdzعʤΤDzˤʤΤɬ˹ͤޤʴ
430ڡ 12:15:58 49042
Ȥ
#49035
#49041

ߤޤͤľޤ!!
׻ǤäǤ
Ȥѷ-ǤʤǤʤȤ

ɸA(a,0),B(0,b),C(-a,0),D(0,c)Ȥ
ľEF:y=-(b/2-c/2)*(x-a/2)/a+c/2
y=0Ȥx=(a*c+a*b)/(2*b-2*c)
CEF=(b/2-c/2)*(a-(a*c+a*b)/(2*c-2*b))/2=5
(b/2-c/2)*(a-(a*c+a*b)/(2*c-2*b))/2-5=0
-(a*c-3*a*b+40)/8=0
a*c-3*a*b+40=0(1)
ǢEFAѤ
Τ颤CFD+EFC+BAE
(b-c)*a-16-a*b/2=(a*b-2*a*c-32)/2(1)
*⤵/2
ʬACľEFθxɸGȤ
AEG+AFG=(a-(a*c+a*b)/(2*b-2*c))*(b/2-c/2)/2
=a*(b-3*c)/8(2)
ƱѤʤΤ
(a*b-2*a*c-32)/2-a*(b-3*c)/8
=-(5*a*c-3*a*b+128)/8
5*a*c-3*a*b+128=0(2)
5*(1)-(2)=5*(a*c-3*a*b+40)-(5*a*c-3*a*b+128)
=72-12*a*b=0 ꡡa*b=6(3)
ǢCFD=-a*c/2=11 ꡡc*a=-22
(3)1,2
EFA=(a*b-2*a*c-32)/2=(6-2*-22-32)/2
=(a*b-3*c*a)/8=(6-3*-22)/8=9()
˭ԡ 430ڡ 13:27:56 MAIL:fttnm528@ybb.ne.jp 49043
algebra
ABxADDCaABD2ȡDBCȤȤȡꡤ
x/sin45a/sin2ȡx/sin(45ݦ)2a/sin3ȡ
ꡤsin3ȡ22sin2sin(45ݦ)
2ܳѡ3ܳѤθˡʤɤѤơsin2ȡ1/2
ꡤȡ15äơABC3ȡ45
430ڡ 16:25:00 49044
ֿء׾ι
#49029£Ĥ2̤ɽ魯ȤΤϡ£Ĥˤơ
£ġsin(135-2)2
ã£Ĥˤơ£ġsin(45-)2ȤʤȤȡ
ȡġģäᣲcosȤsin2ȡ1/2
ȤȤȡäȤ狼ޤ

#49044ΤפĤƤޤ3ܳѤθ
äȤʤȻװƤƤȤǤ
430ڡ 16:50:57 49045
Ȥ
#49028

>cos(DBA)=(1-sqrt(7))/4Ǥ⤢
>DBA=114.3٤餤Ǥ⤦ΤǤ
>βǤϾʤޤ!!

ߤޤ׻ȤϤʤäǤ!!

#49030

>ʸ褯ɤ
>οޤΤ褦ʢABCޤȤ뤫
>ABCϱԳѤ1ĤǤ͡
>ˤߤޤǤ!!

ABCϱԳѤǤʤƤʤȤ
ʬβˡľȤǤ狼ޤ
˭ԡ 430ڡ 18:19:21 MAIL:fttnm528@ybb.ne.jp 49046
ˤ
ȤäƤޤޤ
Ķļˡ 430ڡ 18:34:28 49047
٥륯åĥ
#49036鯤οͤ
䴰꤬Ȥޤ狼ˤƤߤޤ
ADC'D򤽤줾гȤäƤΤΤ̤Ǥ
Ϥ⤦狼䤹ʤ褦ǫ˽񤤤Ƥߤޤ
430ڡ 21:15:26 49048
SECOND
㤤ʤ顢ϡ
2.6GHz 4000MB Core i5Win.10240áʽBASIC Ǥ §黻ƥȡ
1.6GHz 512MB Pentium MWin.XP.sp2180áΡ®ΡȤ®
51ʶ 9:41:52 49049
Ф
#49035

Ȥ⤵#49043#49039Ǥ

AFEBѤ롣
BEFѤBE=CEդĹȹ⤵颤CEF5
AFBϢADBѤ1/2ǡʢAFFDˡADBϢABCD1/2
ʢ袤ABDᢤCBDˢAFBϢABCDѤ1/4ǤꡢäƢBFDC1/3
7颢AFEBѤ7512
ȤǢABEܢCDF1/2ߡʢABC+ADCˡ1/2ߢABCDǤ
ABCD28颤ABEܢCDF=14դꢤCDF11颤ABE3
äƢAFD12-39
52ڡ 20:30:14 MAIL:hbmath1965@yahoo.co.jp 49050
鯤ο
#48050

ʼ«Ǥ͡
β⡢դĹľܻȤ鷺Ѥʤ뤫ɬ׾ǹޤäƲ򤤤Ƥޤ¤ϡ¸ߤʤС9Ǥʤ򼨤ǡ¸ߤΤθڤϾʤƤޤ
礬ʤդĹƺޤǤΤ

Ȥ⤵ϡѤΩ顢a,b,cȤ߹碌βƤޤСʬ⼨ޤ

52ڡ 22:03:07 49051
鯤ο

#49050Ǥ
52ڡ 22:03:43 49052
Ф
#49051#49052

ͤ⤷ʤäŦ꤬Ȥޤ¤ϲη׻桢
ߥ򤷤BACDˤʤäƤޤ꤫ȤƤ
ΤǤľȳ¦ˤʤäƻʤޤ
ʤäʤ

ABCDˤƢACDᢤCDF211222
ABCȤFAD颤FBC2ᢤABCܢBCDˤ
10211x/2򤤤ƣ6
颤ACD=22ABC᣶Ǥ룲ĤդĹ2ջѷ
ƱΤĤʤˤФ褤
Τ褦ʷˤǤդΤΤˤĤդϸϤ
¡CDF11BCD116/214ABC6ˤ
CEF(14+6)/2/25AFCE(226)/214ˤꢤAFE=9Ȥʤ
53 6:07:30 MAIL:hbmath1965@yahoo.co.jp 49053
鯤ο
#49053

ڤɤǤ
STAY HOME֤ˡꤷƤ뤳ȤϴդƤޤ

53 12:50:34 49054
ʤ
ޤޤäȷǼĤưǧ
55ʲС 5:43:03 MAIL:naka@sansu.org 49055
ʤ
ϤꡢǤʤʤäƤޤ͡
СžθݤΤ褦Ǥ
55ʲС 5:45:50 MAIL:naka@sansu.org 49056
kyorofumi
ABD BDޤ֤ȡAA'CľѤջѷˤʤꡢAA'Bѷˤʤޤ
55ʲС 22:27:44 49057
kyorofumi
ѷˤʤΤϡA'BCջѷǤ
55ʲС 22:31:03 49058
٥륯åĥ
ǤŻˤäȲˤäΤβˡͤƤߤޤ
PBCο򲼤DȤꡢѷPDCѷȾʬˤʤΤPD=1ȤPC2BDBEPEȤʤEȤȡѷPDEȻѷPDCϹƱˤʤBE=PE=PC=2BPФEоΤFwoȤȻͳѷFBEPϰդĹ2ΤҤABC˿򲼤­GFPȤθHȤȡAG򼴤ȤоΤʤΤFH=FP1DCĹ򥢤ȤBC=2+2ʤΤAGϤȾʬ1+PD=DG=1ʤΤAH=äƻѷPDCȻѷPHAϹƱAPH=CPD=60١FPB=FBP=15٤ʤΤǵAPB75٤ˤʤޤ
56ʿ 2:01:22 49059
鯤ο
#49059

ABCΤߤǤ򤱤ޤȤˤʤäƤޤ͡
ޤΤȡŤˤȤ򡢼­Ǥ䤦ȡ

AG򼴤ȤоΤʤΤ

BCAG˴ؤоΤǡFBPCFBCPCBʤΤǡFPAG˴ؤоΤǡ

PD=DG=1ʤΤAH=

HGDPĹǡġHP1/2FP1/2EP1/2PCPD1顢HGDPˤʤΤǡHGHP1ȤʤꡢAHAG-HGᥢ

56ʿ 17:26:24 49060
ե󥿥
ϵ٤ߤʡ
57ڡ 0:13:25 49061
EG
٤ߤǤ͡
˻Ǥ礦
ǤĤ⤢꤬Ȥޤ̵ʤǤ͡
57ڡ 0:32:33 49062
ϥ饮㡼ƥ
褦䤯꤬򤱤ޤ
MathematicaˤǤ
ԡ 57ڡ 6:51:46 HomePage:湩ؤ˥49063
ϥ饮㡼ƥ
Ʊǽޤ
Τ꤬Ѥʤäȴդޤ
ԡ 57ڡ 6:53:25 HomePage:湩ؤ˥49064
Ф
٤ߤˤʤȤĤޤʤΤǤʤΤϤɤǤ礦

AB=8BC5B=60λѷABCABDBCE
CAFȡDEBCȤʤꡢDEFѷˤʤä
BEĹʤ

Ȥ⤢졢ޤޥ뤵󤬤Ǥ褤ФƤ뤳Ȥ
Ԥޤ
57ڡ 20:04:01 MAIL:hbmath1965@yahoo.co.jp 49065
Ф
ηǼĤĹ³Ƥ뤳Ȥԡ
57ڡ 20:06:11 MAIL:hbmath1965@yahoo.co.jp 49066

β򶵤Ƥ
57ڡ 20:47:02 49067
Mr.ǥ
#49065
ͭ񤦤ޤ.........40/21
57ڡ 21:32:23 49068
Ȥ
#49065

ɸA(4,4*sqrt(3)),B(0,0),C(5,0)
D(a,sqrt(3)*a),E(a,0),F(5*a/2,4*sqrt(3)*(5-5*a/2))Ȥ
EFʿǵ
(5*a/2-a)^2+48*(5-5*a/2)^2=3*a^2
򤯤 a=40/21,40/19
DFʿǵ
(5*a/2-a)^2+(sqrt(3)*a-4*sqrt(3)*(5-5*a/2))^2=3*a^2
򤯤ȡa=40/21,40/23
Ƕ̲a=40/21()
˭ԡ 58ʶ 18:46:23 MAIL:fttnm528@ybb.ne.jp 49069
̻
#49065

ACαĹAFFGȤʤGDFαĹDFFHȤʤHȤ롣
ADFȢGHFϹƱʤΤǡGHADĹaȤ
ABCȢGHCʤΤǡCH5a/8
BD(55a/8)/2 60٤ľѢʤΤǡ
ADĹȹ碌8ʤΤǡa88/21
ꡡBE40/21

꤮껻 or ʤΤǥȤ
510 3:54:00 49070
Ф
Mrǥ#49068
Ȥ⤵#49069
̻#49070Ǥ
ͷǤ꤬Ȥޤ

[]
DFαĹBCαĹθG
FBC˲­HȤ롣
BEȤȡBD2xBG=4xEG=3x
DF=FGϢEH=3x/2
ABC˲­IȤBI:IC=4:1BEEG1:3ĭ
CH:HG1:12äCH3x/21/12x/8
äƣ3x/2x/85
򤤤ơx=40/21

ˤǤͤǤƤߤޤ
510 7:09:30 MAIL:hbmath1965@yahoo.co.jp 49071
Mr.ǥ
#49065
βˡ񤭹Ǥߤޤ
----------------------------
A,BBCΤ­򤽤줾졡G,H
DEMȤ
BE=Ȥ
DR=3
FH=ME=(3/2)
EH=MF=(3/2)x
CH=5(5/2)x
FH//AG
5(5/2)x}:1=(3/2)x:43
򤯤
BE40/21
510 10:49:30 49072