ߤ
ä̤£ФʿԤľȣ¤θĤȤ롣

Ȼѷģáѷģáѷģã¡ѷģФ
ɤջѷˤʤ롣
820ڡ 0:31:33 49420
ͤ
10ʬ٤줯餤ǽꤷƤ褦Ǥ͡ߤޤ
820ڡ 0:37:50 49421
٥륯åĥ
ǤβˡפĤʤΤǡABФCоΤC'ȤäƤȤꤢ߼ѤФޤ
餱ʤΤʹߤޤͤޤ
820ڡ 1:31:23 49422
鯤ο
APˢCDA20ȤʤD롣
ȡADCϡDADC2ջѷǢADC1402*ABC
äơBϡD濴ȤȾDAα߼ˤʤ롣
äơDAB2ջѷǢDBA15
äơCBD70-1555

ޤCDP180-14040CBP顢
C,D,B,PƱ߼

äơCPACPDCBD55
//
820ڡ 1:45:18 49423
鯤ο
APCxȤȡ
CPsin40Ȥʤ̼ܤǹͤȡ
APCˤĤꡢ
ACCP*sinx/sin20sinx*(sin40/sin20)

APB=180-15-40-70=55顢CPB(x+55)
BPCѤơBCsin(x+55)
ABCѤơ
ACBC*(sin70/sin35)sin(x+55)*(sin70/sin35)



sinx*(sin40/sin20)sin(x+55)*(sin70/sin35)
sinx*sin40*sin35sin(x+55)*sin70*sin20
sinx*sin40*sin35sin(x+55)*cos20*sin20
sinx*sin40*sin35sin(x+55)*(1/2)*sin40
sinx*sin35sin(x+55)*(1/2)
sinx*sin351/2(sinxcos55+cosxsin55)
sinx*sin351/2(sinxsin35+cosxsin55)
(1/2)*sinx*sin35(1/2)*cosxsin55
tanxsin55/sin35
tanxsin55/cos55
tanxtan55
0<x<180ꡢx=55
APC55
//
820ڡ 2:21:15 49424
SECOND
!BASIC ǵ׻󡣢CPA= 55 ١׻֡10ms

OPTION ARITHMETIC COMPLEX
LET A=0
LET B=5
LET C=intsec2(A,B,EXP(COMPLEX(0,RAD(35))),B+EXP(COMPLEX(0,RAD(110))))
LET P=intsec2(A,B,EXP(COMPLEX(0,RAD(15))),B+EXP(COMPLEX(0,RAD(70))))
PRINT "CPA=";DEG(arg((A-P)/(C-P)));""

FUNCTION intsec2(A,B,C,D)
local da,ab
LET da=im((D-A)/(C-A))
LET ab=im((A-B)/(C-A))
LET intsec2= ab/(da+ab)*(D-B)+B
END FUNCTION
820ڡ 4:55:55 49425
ȤޤԤ
ѻͳѷǤ͡
߼ջѷȤ߹碌Dz򤭤ޤ
ѷ򸫤Ĥ륿פǤϤʤäǤ͡

󥰥졼ˤȤɤɤˤϤɤΤ褦ʰŪĥ񤤤Ƥ
820ڡ 6:23:40 49426
ȤޤԤ
ѻͳѷǤ͡
߼ջѷȤ߹碌Dz򤭤ޤ
ѷ򸫤Ĥ륿פǤϤʤäǤ͡

󥰥졼ˤȤɤɤˤϤɤΤ褦ʰŪĥ񤤤Ƥ
820ڡ 6:23:40 49427
ֿء׾ι
ѻͳѷפäƤǤ͡Ρ
820ڡ 7:29:50 49428
ǯ
Ϥ٤ߤʡ¾򤷤Ƥ顢Ф
ǽϵ٤ְ㤨Ƥ
񤷤.....ʤ󥰥졼򤢤äƤĤ餺ʤϤ....Ĥ

BCαĹDEθQȤ
BDQĺBȤջѷ
BDBQ
BD=BA=BQʤΤǡ
ABQBĺȤջѷ
QAB=(180-70)/2=55&ordm;ʤΤ
EAQ=15&ordm;
AEQABP
ΤˡPQADФоΤʰ֤ǤꡢCPQջѷ
CPQ=15&ordm;Ȥʤ
APC=90-20-15=55&ordm;
820ڡ 9:07:06 49429
ǯ
49429ʸ&ordm;פϡ١פǤ
820ڡ 9:08:57 49430
ǯ
٤⤪ޤ
#49429Žդߥǽȴޤ

BPACαĹθDȤ
ABDBĺȤջѷ
ABDAD򼴤ȿžơɩABDE롣
BCαĹDEθQȤ
BDQĺBȤջѷ
BDBQ
BD=BA=BQʤΤǡ
ABQBĺȤջѷ
QAB=(180-70)/2=55ʤΤ
EAQ=15
AEQABP
ΤˡPQADФоΤʰ֤ǤꡢCPQջѷ
CPQ=15Ȥʤ
APC=90-20-15=55
820ڡ 11:17:05 49431
ޥ
դϤߤޤ󡢤ΤäԤʤ̻κʤȤäƤ⡢ʤͭ̾򤽤Τޤ޻ȤäǤˤǺȤߤޤäƤޤŤ12:10᤯ˤʤäƤޤ

֤ΤäԤʤ̡ٹ礤ϿǤ֤餤äΤǤǤ򤪤ȤѤϤޤ˿ޤǤ
8086 820ڡ 12:06:21 HomePage:49432
SECOND
ޥ뤵ޡѤäˤʤäƤˡϡ˹󡢤Ȼפޤθʤ̵ˡȤ
820ڡ 13:12:26 49433
Mr.ǥ
C̤BC˿ľľBDθEȤ
BEC=75BACȤʤΤ
ͳѷBCEAϡBEľ¤Ȥߤܤ롣
BEOȤޤˤϤαߤ濴ȤʤΤ
AOC2ABC70
OACOCA55BDCȤʤΤ
ͳѷAOCDϱߤܤ
ADCACO55
820ڡ 14:36:52 49434
Ȥ
ɸC(0,0)CB=x
ACB=x˿򲼤­
D(1,0)ȤA(1,-2-sqrt(3))
ľAP,CBθEȤ
a=5*%pi/180(=5),b=20*%pi/180(=20)(1)
ȤE(1+(2+sqrt(3))*tan(a),0),B(1+(2+sqrt(3))*tan(b),0)
ľAP:y=(x-1-(2+sqrt(3))*tan(a))/tan(a)
ľBP:y=-2*tan(b)*(x-1-(2+sqrt(3))*tan(b))/(1-tan(b)^2)
2ľϢΩȤƲ򤤤
tan(PCB)=Pyɸ/Pxɸѷ롡Maxima

e1:y=(x-1-(2+sqrt(3))*tan(a))/tan(a)$
e2:y=-2*tan(b)*(x-1-(2+sqrt(3))*tan(b))/(1-tan(b)^2)$
part(solve([e1,e2],[x,y]),1)$
factor(trigreduce(factor(trigsimp(rhs(part(%o3,2)))/trigsimp(rhs(part(%o3,1))))));
-(sqrt(3)+2)*(cos(2*b-a)-cos(a))/(cos(2*b-a)+sqrt(3)*sin(a)+2*sin(a))(2)

(1)Ȥcos(2*b-a)=cos(35)cos(%pi/6+a)Ȥ


factor(trigexpand(cos(%pi/6+a)))$
factor(ev(-(sqrt(3)+2)*(cos(2*b-a)-cos(a))/(cos(2*b-a)+sqrt(3)*sin(a)+2*sin(a)),cos(2*b-a)=%));
(sqrt(3)+2)*(sin(a)-sqrt(3)*cos(a)+2*cos(a))/(2*sqrt(3)*sin(a)+3*sin(a)+sqrt(3)*cos(a))(3)

ʬsqrt(3)/3ܤˤȡMaxima
expand(sqrt(3)*(2*sqrt(3)*sin(a)+3*sin(a)+sqrt(3)*cos(a))/3);sqrt(3)*sin(a)+2*sin(a)+cos(a)
ޤʬҤŸ롡Maxima
expand((sqrt(3)+2)*(sin(a)-sqrt(3)*cos(a)+2*cos(a)));sqrt(3)*sin(a)+2*sin(a)+cos(a)
ͤƱʤΤ(2)=sqrt(3)/3tan(30*%pi/180)=tan(30)ƱʤΤǢPCB=30
ǢPCEǢPEC=180-70-15=95
PCEλĤγѤϢCPA=180-30-95=55롦()
˭ԡ 820ڡ 14:36:57 MAIL:fttnm528@ybb.ne.jp 49435

ջѷ߼Ѥͤ
Dz򤯤ΤϤäɤ
820ڡ 15:59:26 49436
(ϡ)!!
ʤ줿
820ڡ 19:50:40 49437
(ϡ)!!
ʤ줿
820ڡ 19:53:49 49438
ϥ饮㡼ƥ
MathematicaǷ׻ޤ

ĤˡǤߤޤ
ԡ 820ڡ 20:31:03 HomePage:湩ؤ˥49439
Mr.ǥ
#49434
λβˤơDȤʤäƤȤϤ٤Pδְ㤤ǤDPȤɤǤ
ʡפǤʤΤǤǽ񤭹ߤޤ
821ʶ 0:00:31 49440
Ƥ
ޤǤ򹭤
821ʶ 5:24:00 49441
⡼ޥ
#49441
Aha!!
äư̲ǽȤ...70,40¿ʤΤ^^
821ʶ 14:19:04 49442
ܥܥС
ȣDZߤʤȻפäơģ濴Ȥ߼ˣ¤ȣФȣääơĸ̣У¤α߼ѤܣУã¤ǡģܣãУᣵ뤫ʤȡ
821ʶ 16:34:35 49443
¤
49420
ץ餷ȤϻפΤǤ
DA=DC,DC=CBʬäΤ
DC=DPƳȤǤޤ󡣤ɤΤƲ
821ʶ 17:17:20 49444
Mr.ǥ
#49434 ϸοޤεְ㤨Ƥ̣ʤΤȤʤäƤޤޤ
Τ褦ޤ
#49434ɤƬǺޤ줿ʥ
ʥޥ뤵󡡡#49434ϳˤʤΤǺǤƤ
----------------------------------
B̤AB˿ľľAPθEȤ
AEB75ACBȤʤΤ
ͳѷABECϡAEľ¤Ȥߤܤ롣
AEOȤޤˤϤαߤ濴ȤʤΤ
COB2CAB70
OC=OBꡡOCBOBC55OPBȤʤΤ
ͳѷOCBPϱߤܤ
CPACBO55
821ʶ 21:55:58 49445
ֿء׾ι
#49442
> 70,40¿ʤΤ^^
ɤȤǤ礦ꤤޤ
822ڡ 6:23:57 49446
⡼ޥ
# 49446 ֿء׾ιͤ
錄...
ĺ70ջѷ(a+b)=35 褦ˡ㤨С1322ˤʤ褦ˡor 530Ȥʤ褦ˡ...ޤ椷ƤǤ뢢Ǥ(180-2*35)/2=55ˤʤ襤ʤȻפäǤ......^^;
822ڡ 16:32:58 49447
ߤ
#49444 ¤Ӥ

ѣУ¤򣱣٤ȣ٤ʬʣ˶ᤤ١ľҤ
Ĥ̲᤹뢪ģģФջѷǤĤȤʤ褦ʵޤ

ߤޤ󡣻פߤŪ˹äƤ⤷ޤ
822ڡ 21:58:42 49448
ߤ
#49448
ãģ£ФˤʤꤽäƤΤ⤢ä褦ʵޤ

ޤǽ񤤤Ƥơ̥饤ä˻פƤޤ
822ڡ 22:04:18 49449
ֿء׾ι
#49447
꤬Ȥޤ
ޤäѷĺ70ջѷȤΤ錄ȰäƤơ
ιͤǤAB˴ؤCоΤC'ȤơѷAPC'ʬAB
ޤȤʤäƤޤ3PBC'ľˤäơCAP=CC'P
ͳѷAC'PCߤܤAPC=AC'C=55١äơ
ǡCAP=CC'PɬܤʤΤǤΤ20١70٤ξ
Ϥޤ
ɤƬǤơ̲Τ褦ʼͳȯ̴ۤΤ褦Ǥ
823 7:30:24 49450
SECOND
AP ABO Ȥ ջѷˤʤ͡ O ɲá
AOB=150ACB=75߼ѤAO=BO=CO

ˢPOC=40PBC=40ǡ OBPC ⡢̤ʱ߼
CBO=(70-15)=CPO =55
823 9:16:30 49451
¤
ߤ
Ƥ꤬Ȥޤ
Ūˤʤ뤱ɤ
򼨤Τ񤷤ȤȤǤ礦
ץ餷ȻפäΤǤ
823 12:08:30 49452
⡼ޥ
#49450 ֿء׾ιͤ
ȻפƹͤƤߤޤ...
ջѷŸǤ뤿ˤϡ180-(55+15+70)=40 ΩäƤʤȡŸʬդȰפޤΤǤ ^^;
so...οޤǤϡ40,70٤ɬܾʤΤǤm(_ _);m
äƤȤϡޤޤʤ褦ꤵƤȤȤä褦Ǥ ^^;...
823 12:11:52 49453
٥륯åĥ
ABФCоΤC'ȤƻͳѷAC'PCꡢгCC'APθDȤ롣CAPCC'P20٤ˤʤΤǻѷDACȻѷDC'PCDPDADC'DѷCDPȻѷADC'ˤʤΤdzAC'DCPD55٤Ȥʤޤ
823 17:51:25 49454
٥륯åĥ
άʵƤΤǤäɲäޤ
PBC'40+702180١
AC'P=180-35+70ˡ75١
CAC'20+15ˡ270١AC=AC'ʤΤdzAC'C=55١
CC'P75-5520١
823 17:58:17 49455
ֿء׾ι
#49453⡼ޥ
ޤǥåꤷޤ꤬Ȥޤ

25١10٤ǡ65١50٤ǤƱ褦ˡ55٤ˤǤ뤫ʡ
ʵޤ
824ʷ 13:07:08 49456
⡼ޥ
# 49456 ֿء׾ιͤ
180-50=2(10+?)
?=55=(180-2(25+10))/2
ǤˤǤƤޤ ^^
824ʷ 14:37:25 49457