Ǹμ̿
CADǺޤơޤ
55ڡ 0:59:38 51478
ֿء׾ι
GeometricConstructorˤơϤ줫ͤޤ
55ڡ 6:03:00 51479
̴
BCβѷABDȤʤDꡢѷA濴Ȥ
Ⱦײ60žѷADEȤơλѷ
Ʊ򤭤ޤ
ٻΤ桡 55ڡ 7:25:56 51480
Ȼ
#51475 Mr.ǥ Ʊͤ˹ͤޤѤʤΤǡñ49ǧڤƤߤޤ
55ڡ 7:35:59 51481
Ȥ
ľCP,ABθQȤƺɸ
P(0,0),Q(-1,0)Ȥ
ľAB:y=sqrt(3)*(x+1)(1)
ľBP:y=sqrt(3)*x/3
2ľθB(-3/2,-sqrt(3)/2)a=10Ȥ
ľBC:y=tan(a)*(x+3/2)-sqrt(3)/2
y=0ȤC((sqrt(3)-3*tan(a)^2)/2/tan(a),0)
ľCA:y=-2*tan(a)*(x+(3*tan(a)-sqrt(3))/2/tan(a))/(1-tan(a)^2)
(1)Ȥθ
Axɸ:(sqrt(3)*tan(a)-3*tan(a)^2)/(3*tan(a)^2-1)
Ayɸ:-(sqrt(3)-3*tan(a))/(3*tan(a)^2-1)
tan(APQ)=1/tan(a)
b=80Ȥ
tan(APQ)=1/tan(a)=1/tan(10)=1/tan(%pi/2-b)=tan(b)=tan(80)
PAB=180-60-80=40롦()
55ڡ 17:32:45 51482
SECOND
!BBASIC¹Է̡!BAP= 40

OPTION ARITHMETIC COMPLEX
LET B=0
LET C=5
LET P=intsec2(B,C,(C-B)*EXP(COMPLEX(0,20*PI/180))+B,(B-C)*EXP(COMPLEX(0,-10*PI/180))+C)
LET A=intsec2(B,C,(C-B)*EXP(COMPLEX(0,50*PI/180))+B,(B-C)*EXP(COMPLEX(0,-30*PI/180))+C)
PRINT "!BAP=";arg((P-A)/(B-A))*180/PI;""

!---------------------------------------------
! AD AD
! CB
! BCDA
!B C
!---------------------------------------------
FUNCTION intsec2(A,B,C,D)
local da,ab
LET da=im((D-A)/(C-A))
LET ab=im((A-B)/(C-A))
IF ABS(da+ab)<>0 THEN LET intsec2= ab/(da+ab)*(D-B)+B
END FUNCTION
55ڡ 19:54:31 51483
ߤ
#51475Mr.ǥ
ʸβΰ㤤ϡ䣴ֿפȤߤʤֿפȤߤʤǤ
󤲤ޤ


Ρ֣פȡ礭Ρ֣פ񤫤Ƥ롣
ʤ礭Ϥɤ餫
ʤ礭Ϥɤ餫

Ǥϡֿפֿפ̤ƤʤǤ礦ǤϤ
̤Ƥޤ
ʤ
ֿפȤΤϡ㣸Ǥꡢɽλϴطʤäơ
񤳤ȣ礭
ʤ
ֿפȤΤɽǤΤǡ羮ϻ礭ȽǤ롣
äơ礭

ơʸ
䵭Ͽѻˡ֣פȡ֣פξȤ⵭
Ǥ
ʸ
֣פȡ֣פξȤ⵭
ǤСֿפȤƹͤ٤ᣱϹͤʤ
֣פȡ֣פȤξȤ⵭
ǤСֿפȤƹͤ٤ᣱ䣲ޤ
Ȥʤޤ
ʸϡֿפǹͤΤʤȤϻפΤΡֿפǹͤ
ȤǤ뤢ޤɽȤϻפޤ
56ʶ 18:28:53 51484
鯤ο
BPC150롢BAC100顢
BC=sin150ν̼ܤdzդĹɽȡꡢ
BPsin10
ABsin150* sin30/sin100

PBC˲­Q
ABC˲­R
Ȥȡ

BQ=BP*cos20sin10* cos20
BR=AB*cos50sin150* sin30/sin100* cos50
=sin30* sin30/ cos10* sin40
=(1/2)*(1/2)/cos10* 2*sin20*cos20
=(1/2)/cos10*2*sin10*cos10* cos20
=sin10* cos20
=BQ
äơQ=R
ĤޤꡢA,P,Q(=R)ϰľˤꡢAPBC
äơPAC180- 30-9060
äơBAP100-6040
//
57ڡ 0:19:15 51485
Ϸ
Τ褦ʲϤɤʤǤ礦

Ф£äؿĤȤ
ܣ£УġᣱݢܣУģ¡ݢܣУ£ġ᣷
УäľȲꤹ
ܣ£ġᣱݢܣģ¡ݢܣ£ġᣴ
УĤľǤ뤳Ȥθ
ܣ£Сܣ£Уġݢܣ£Сᣴ

ܣ£ġܣ£ФȤȤǡУĤľȤΤǤ礦
57ڡ 15:53:42 MAIL:takaaki-k@aqr.bbiq.jp 51486
KawadaT
1) BCˡDPC=10٤Ȥʤ褦DȤޤ
2) BDEȤޤ
3) DĹCAʤޤϤαĹˤBAʤޤϤαĹˤȤθFGȤޤ
4) EGˡHBE=30٤Ȥʤ褦HȤꡢBGˢJHB=20٤Ȥʤ褦JȤޤ

Ȥˡ
DC=1ȤȡEC=1+cos(20)ʤΤǡEF=(1+cos(20))/3
EH= cos(20)/3JH=GH=1/3ʤΤǡEG=(1+cos(20))/3

äơEF=EGȤʤꡢ3)狼顢FGϡAȤʤޤ
BAPϡ90-50=40١Ǥ
57ڡ 20:41:39 MAIL:kawada@med.gunma-u.ac.jp 51487
鯤ο
#51486

УäľȲꤹ

APCľǤʤ顢APDľ졦ν񤭴ְ㤤Ȼפ

ܣ£ġᣱݢܣģ¡ݢܣ£ġᣴ
ܣ£Сܣ£Уġݢܣ£Сᣴ

Ϥ⡢APDľβѤƳƤ뤫


ܣ£ġܣ£С
ꡢУĤľ

䭢䭤䭥ʡ᭡ˤϡ۴ˡ˴٤äƤΤ
β꤬Ȥ򼨤Ȥˤϡʤޤ

դˡǤʤȤ̷⤬СˤʤΤǤ

51487

3) DĹCAʤޤϤαĹˤBAʤޤϤαĹˤȤθFGȤޤ

DĹפν񤭴ְ㤤Ǥ

57ڡ 21:34:10 51488
KawadaT
ޤ
3) EPĹơ

58 5:39:26 51489
Ϸ
51488ʻ鯤ο͡ˤ
Ŧ̤ꡢУäľȲꤹФϡУĤľ
ְ㤤Ǥ
åĤǤϳƤޤޤ
꤬Ȥޤ

⤷УĤľǤʤС
ܣ£ġܣ£ФȤϤʤʤȹͤΤǤ
58 7:34:51 MAIL:takaaki-k@aqr.bbiq.jp 51490
̵̾
äȴñˡϤʤΤʡ
58 17:05:31 51491
鯤ο
#51489

3) EPĹơ

EH= cos(20)/3JH=GH=1/3ʤΤǡEG=(1+cos(20))/3

򡢾䴰ȡ

BE=DEcos(20)ʤΤǡEH=BE*tan(30)cos(20)/3

BH=EH/sin(30)2cos(20)/3

BHKȤȡBK=cos(20)/3

BJ=BK/cos(20)1/3

JBHȢJHGϣջѷʤΤǡ

GH=JH=BJ=1/3

EG=GH+EH(1+cos(20))/3

ʲʸ̤ꡣ

褦Ǥ

59ʷ 0:18:26 51492
ȤޤԤ
㻻β򤭤ΤꤿǤ
59ʷ 6:22:26 51494
ȤޤԤ
㻻β򤭤ΤꤿǤ
59ʷ 6:41:31 51495
鯤ο
#51495
㻻β򤭤ΤꤿǤ

#51480ΤǤ礦䴰ǤʤǤޤ
ؼ̤ꡢɩABDEʬʤɲäꤹȡʿԤߤĤäꡢȤơȤ줬ˤʤȦȤ߹碌ĤäϤɾǤ#51480ǥҥȤȤƽФƤƱʿ޷ǤϤޤ

ï뤤ϡܿͤ䴰Ƥ

59ʷ 18:23:50 51496

ϺޤޤФȻѴؿǡġ
٤ȤȤAPBCBPCACPABθ򤽤줾Q,R,SȤ롣
Ѥ
AS/sin20=AC/sin60, BS/sin10=BC/sin120,
BQ/sin=AB/sin(130-), CQ/sin(100-)=AC/sin(50+),
CR/sin20=BC/sin130, AR/sin30=AB/sin50,

ФƤϤ
SB/ASQC/BQRA/CR=1 ʤΤ

sin10sin(80+)/(sin20sinȡ2sin20)=1

cos(-10)/(4cos10sin20sin)=1

ѤθѤ
cos(-10)=4cos10sin20sin
=2(sin30+sin10)sin
=(1+2sin10)sin
cos10cos+sin10sin=(1+2sin10)sin
(1+sin10)sin-cos10cos=0

sin&#8758;cos=cos10&#8758;1+sin10
Ȥʤ褦ʿޤȡդĹ1ջѷǤѤ40٤ȤȤʤޤ
https://d.kuku.lu/bc0237d42
ޤǤ礦狼ޤ󤬡ġ
59ʷ 19:47:10 51497

ʸsin:cos=cos10:(1+sin10)Ǥm(_ _)m
59ʷ 19:49:44 51498
٥륯åĥ
ޤˡĤäƤޤ
ʤȤ򸫤Ȳ餫βˡϤΤȻפΤǤ
ϤǤȻפäΤǤǼĤ˽񤭹⤦Ƥߤְ㤤˵Ťޤ
59ʷ 23:40:02 51499
ۤλο
ˡʴDz򤤤Ƥߤޤ
https://youtu.be/PeAy7n7i9iA

פϳȤ⿴ʤɻȤäƤΤǤ
ˤ狼դΤǡФ

ư踫֤սꤢޤ
1:57 γ٤Τ
ֻͳѷѤ¤360...פȸäƤޤ
ֻѷABCѤ¤180...פδְ㤤Ǥ
510ʲС 2:36:41 51500
ۤλο
ˡʴDz򤤤Ƥߤޤ
https://youtu.be/PeAy7n7i9iA

פϳȤ⿴ʤɻȤäƤΤǤ
ˤ狼դΤǡФ

ư踫֤սꤢޤ
1:57 γ٤Τ
ֻͳѷѤ¤360...פȸäƤޤ
ֻѷABCѤ¤180...פδְ㤤Ǥ
510ʲС 2:39:46 51501
̵̾
⤵Ǥۤλο͡ɤä餳ȯۤǤΤǤ礦Ǹκ֤Ǥ礦( ϡ )
510ʲС 12:30:21 51502
ֿء׾ι
#51500 ϤǤ
錄ϡТݣ£ä򼨤ˡtan20* tan30=tan50* tan10
ȤزˡǤޤǤ
510ʲС 14:41:29 51503
٥륯åĥ
#51500
Ǥ
žȿžϤͤΤǤפĤޤǤ
511ʿ 7:19:43 51504
̻
#51500
ƱǤ
BCβ¦10ٺäABդȤѷϺäɡ
ɤäƤʤ᤺
10Ϸ̤Ǥäơǽϳ饹Ȥʤȡ
γ٤ޤʤBCβˣջѷǤʤ
줤ޤ
511ʿ 11:20:24 51505
baLLjugglermoka
ʬľŪ¿ʬγ٤ꤷơϰϤ꤬Ȥǧ褿ΤDz԰̾ǧƷǼĤޤ
޷ߤ颤֤ѷջѷDz򤱤Ȥߤơ¤ϤˡǤϲ򤱤ʤȤճ򤤤ȻפޤͤפĤԤ᤮ޤ
511ʿ 14:10:15 51506
鯤ο
#51500
Ǥ͡
ΤߤDz򤱤뤳Ȥ顢ͤƤϤߤΤǤޤΤơ#51500Τ褦ѤϤǤޤǤѷABDƳϤΤǤޤΤǡBD=CDȤʤäƤ뤳Ȥ˵դޤǤ
⿴ȯۤϡѤ2ʬǤΤȻפޤP⿴ˤʤ褦˳¦񤯲Ͻ鸫Ǥ
511ʿ 18:07:55 51507
KawadaT
Ѵؿ̵ϻȤ鷺ˤޤʻϰϡˡ

鯤ο͡䴰꤬Ȥޤ

1) BCˡDPC=10٤Ȥʤ褦DȤޤ
2) BDEȤޤ
3) EPĹCAʤޤϤαĹˤBAʤޤϤαĹˤȤθFGȤޤ
4) EGˡHBE=30٤Ȥʤ褦HȤꡢBGˢJHB=20٤Ȥʤ褦JȤޤ

CD=1
20٤ľѻѷμդФդa
30٤ľѻѷդФդ2bȤޤ

30٤ľѻѷοľդȼդ1:2

EC=1+aʤΤǡEF=(1+a)b

ޤEH=abJH=GH=EH/a=bʤΤǡ
EG=EH+GH=ab+b=(1+a)b

äơEF=EGȤʤꡢ3)狼顢FGϡAȤʤޤݥȤǤ

BAPϡ90-50=40١Ǥ
512ڡ 6:16:57 51508