̤ꤹ1
ȬѷѷȤ߹碌Ȭѷ濴ȤѷκǤƤ˺ǤᤤȬѷĺ뻰ѷǤ(^ ^)
ä(18020)/280Ǥ
񡡡 714ڡ 0:11:15 44783

ADCճջѷä

714ڡ 0:10:38 44784
ϡѡ
ľ80äȤꤢ񤭤ǤߤǤ^^
714ڡ 0:10:41 44785
̤ꤹ1
⤷˾ʤ#44783̤ȻפޤʤˤʤȻפޤѷ񤭲äƤ򤱤ޤˡꤽǡ򤤤Ǥ(^ ^)
ǡĤȤΤϾ̵ʤȡ
񡡡 714ڡ 0:14:29 44786
2N.K.
DCդȤѷCDβˤĤ
ѷCDEȤ
CBD2CEDȤʤäƤΤǡ
DEBE(߼Ѥεդ)
äơBEC80롡ABE100
BECܢABE180뤫ġBECACE(80)ʤΤǡ
ͳѷABEC
椨ˡоꡢCADDBE80롡()
?????????????????????????????????????????????????? 714ڡ 0:27:10 44787
⡼ޥ
ä^^
ĤγߤǡADդȤƱբ
2*20=40
(180-40)/2=70
20/2=10
so
70+10=80
^^;v
714ڡ 0:24:03 44789
ǯ
£ĤĹơäȤθŤȤȭ£ţäջѷ
ܣ£ţäʬȣãĤȤθƤȤ
ţƣâţ¤Ȥʤꡢ£ŤϣƤοľʬȤʤ뤿ᡢ
ģŢƣģŤȤʤꡢ
ܣģáܣģƣšᣱݣݣ᣸Ǥ
ϫޤ

714ڡ 1:19:39 44790
鯤ο
DACXBADYȤȡ
ABCѤ¤ꡢX+Y100롦

BDCˤĤꡢ
BDDCsin10롧sin30롦

ABDˤĤ
AD/sin20BD/sinY

ACDˤĤ
AD/sin20CD/sinX


sinXsin10sinYsin30

sin301/2
2sinXsin10sinY롦


sinYsin(100-X)cos(X-10)cosXcos10+sinXsin10롦


sinXsin10cosXcos10

tanX1/tan10tan80

0X180ꡢx=80

//
714ڡ 0:51:00 44791
٥륯åĥ
£ĤαĹȣäθšŤ£ä˲ȣãĤθƤȤơѷѤ¤ǽФѤŬ˽񤭤Ǥߤȡѷ£ŤȣƣãŤϣ£šãŤǤξ¦γѤΤǹƱšƣŤˤʤޤ椨˻ѷţĤȣƣţäƱˤʤꡢѤϳѣģƣŤΤ80١
714ڡ 2:24:27 44792
ϥ饮㡼ƥ
Ϥ褦ޤ

;Ǥ
714ڡ 5:31:42 HomePage:湩ؤ˥44793

ǯԤ#44790٥륯åĥ#44792Ʊ
ջѷꡢĺѤʬƱʻѷȸĤˡǵޤ
ܣ¤ʬ򣴣롢ʤɤʤɤȤDz֤ڤ᤽ʡˤǤ͡ޤ뤫狼ޤ󤬡
Ϻꡡ 714ڡ 5:36:00 44794
uchinyan
Ϥˤϡơϡ
ࡤޤδ¿ʬ CD = CA 80ȻפѴؿȤäؤǤ줬򡤤ʬäΤǤ
ˡϸĿŪˤϤʤʤ񤷤äǤΨϷ빽⤤Ǥ͡ˤϰפΤŤˤʤä餫
ɤΤȤʴǡ
(ʲ㴳ޤ)

BD Ĺ AC Ȥθ EE BC ˿򲼤­ HDC Ȥθ FȤޤ
EBC = 30= ECB EBC EB = EC ջѷ EH BEC ʬǤ
ǡBEC = 120롤BEF = BEC/2 = 120/2 = 60= CEFǤ
ȡABE = 20= FCE = FBEAEB = 60= FEC = FEBBE = CE = BEꡤBAE CFE BFEȤʤäơ
EA = EFAED = FEDADE FDE
= DAC = DAE = DFE = ECF + CEF = 20+ 60= 80롤
ˤʤޤ

ǽ顤ľܤ CD = CA ʤФͤΤΤޤ
¿ʬμ¿ѷȤ߹碌ŬڤäΤʤȻפäΤΡ
̤λǻȱɮȤƬDz򤯤ʤΤǤϤ긷
ѷ򤢤줳줯äĤƤߤΤΤϤꤦޤ
ǡꤳޤ
¿ʬβˡ⤢ʤȻפäơǼĤɤߤޤ͡
714ڡ 14:49:53 44795
uchinyan
ǼĤɤߤޤ


ʲεҤϡ⤽ϻ伫ȤٶΥ˲᤮ʤΤǤ
޳ѤʤΤǤͤޤǤˤȻפäƸΤǤ
Ȥ⤢äơˡʬϻ F.A.Q. ΡֻϰϡפεҤ򻲹ͤˡ
ĿͤǤиǼŪ˹ԤäƤΤǤäơҴŪʤΤǤϤޤ
ޤǤ⤴ͤǤ餺

#44783
䤳ȬѷѷȤ߹碌
Ȭѷ濴ȤѷκǤƤ˺ǤᤤȬѷĺ
仰ѷǤ(^ ^)
ȤˡʤۤɡΤˤ
ˡȤϻפޤ˸ȴϤϤ
DBC BC ˴ؤޤ֤褦ʤȤͤΤǤ⤦ĵͤڤޤǤ

#44787
DC դȤ ѷCDE CD βˤĤ߼Ѥ濴Ѥδ˲ʤɤȤäơ
ABEC ߤܤˤʤ뤳ȤȤˡ
٤Ȥȱߤ򤫤ʤȤäƤΤǻȤ뤫Ǥ
ʤۤɡ⤪Ǥ͡
褦ʤȤϹͤΤǤߤϹͤʤäΤѷκ֤ޤޤޤǤ

#44789
䣲ĤγߤǡADդȤƱբ
Ȥˡǰʤˤɤ줺ܺ٤
θ塤#44798#44800ɲäޤ
䢤O'ACᢤO'DC
⤽⤳ϤˤΤǤ礦
줬ˤ CA = CD CO'A = CO'D ɬפޤޤ餫Ǥʤ褦ʡ
CA = CD ʤľܤˢDAC = (180- 20)/2 = 80Ǥ30 10ȤäƤʤ褦ʡ

#44790#44792#44794#44795
BD Ĺ AC Ȥθ EBEC ʬ CD Ȥθ F Ȥ
BEC ջѷˤʤ뤳Ȥ˹Ʊ򷫤֤ѤƲ򤯲ˡ

#44799
仰ѷDBCDBޤ֤ȡѷABCBCդȤѷˤϤޤꤳΤǡ
䥹äȣ٤Фޤ͡
ʤۤɡޤ̷ʤ뤿ˤϤʤ뤷ʤǤ͡

#44791#44793
ؤˤˡ
715ʶ 12:29:03 44796
̤ꤹ1
Τ褦̵˺뤳Ȥޤ
Τʤ顢#44783Ǹä̤˺뻰ѷȬѷ˸¤餺ɤ¿ѷȤ߹碌Ƥ뤳Ȥ뤫Ǥ
񡡡 714ڡ 20:05:16 44797
⡼ޥ
#44796 uchinyan ^^
­餺Ǥ
ABDȢADCγܱߤȾ¤줾濴O,O'Ȥȡ
OADᢤO'AD
O'A=O'D=O'C
O'ACᢤO'DC
AO'D=2*20=40
O'AD=(180-40)/2=70
O'AC=20/2=10
so
70+10=80
ʤ...ꤷƤ뵤⤷ޤ^^;
714ڡ 20:29:10 44798
ʤ
ѷDBCDBޤ֤ȡѷABCBCդȤѷˤϤޤꤳΤǡäȣ٤Фޤ͡
714ڡ 20:30:47 MAIL:junsan23@ezweb.ne.jp 44799
⡼ޥ
餷ޤ
#44798
>O'AC=20/2=10
ϤʤȤ˵Ťޤ^^;; Orz...
714ڡ 21:33:22 44800
̤ꤹ1
γƴطѷϢۤΤäɤäǤȤʤݤˤʤޤΤ褦äƤߤΤǤƤߤޤ
:뻰ѷABCˤơCDCAADDBȤʤ褦D򻰳ѷˤȤȡDCA1롢ADB121ȤʤޤΤȤDCB礭ʤ
ɤǤ礦ȽƤѤʿˤʤ褦ꤷƤߤޤ()
ˤǤɤ(^ ^)

񡡡 715ʶ 10:41:53 44801
2N.K.
#44801
CDCAADDCꡢCDCAADȤʤäơACDѷˤʤΤǡ
DCA60ȤʤΤǤϡ
?????????????????????????????????????????????????? 714ڡ 22:14:39 44802
ϺĹ
44799ʤ󤵤餷Ǥ͡10١20١30٤ϤǤȯۡǤ͡
ϤĤδ80٤ȤФޤPCĴҤ2Ϥͤ졢ʤȻפĤġѴؿȤäƷ׻ޤꡢָ80ǧڤ顢٤ϤäޤȤ
715ʶ 7:59:52 44803
̤ꤹ1
#44802
ޤȤޤ
ʤǤĤͤϲΤ()
񡡡 715ʶ 10:41:04 44804
2N.K.
#44801
̣Ǥ
ΤˡƱ褦ˤƤ꤬ޤ
ˡ򤤤Ĥ񤤤Ƥޤ

(ˡ1)
ACDDC򼴤ˤޤ֤
ΤȤAΰưAȤ
ADA179ʤΤǡADB60
ޤADADADDBꡢADDB
äơADBѷ
ACDADBоΤʿ޷ʤΤǡ
оꡢDCB1/2롡

(ˡ2)
CDդȤѷCDEAȿ¦˺
ΤȤDCDE DADB CDAEDBȤʤΤ
ACDBED()
äơECEDEBȤʤꡢBCEջѷȤʤ
BCE119/2
DCB60119/21/2롡

(ˡ3)
λѷϡɴϻѷ()ѷȤ߹碌ɴϻѷ濴ȤѷκǤƤ˺Ǥᤤɴϻѷĺ뻰ѷǤѤơ
DCB1/2롡()

?????????????????????????????????????????????????? 716ڡ 10:34:46 44805
̤ꤹ1
#44805
Ǥ()
ʤ̵Ǥޤw
񡡡 715ʶ 17:09:07 44806
Ȥ
ɸľBDACθE(0,0),B(-2,0)Ȥ
ľBC:y=-sqrt(3)*(x+2)/3,AC:y=sqrt(3)*xθC
solve([y=-sqrt(3)*(x+2)/3,y=-sqrt(3)*x],[x,y]);x=1,y=-sqrt(3)
tan(20)=tan(a)Ȥ
C̤극-tan(2*a)=-2*tan(a)/(1-tan(a)^2)ľCD:y=-2*tan(a)*(x-1)/(1-tan(a)^2)-sqrt(3)xθD
solve(0=-2*tan(a)*(x-1)/(1-tan(a)^2)-sqrt(3),x);x=(sqrt(3)*tan(a)^2+2*tan(a)-sqrt(3))/(2*tan(a))
ľBA:y=tan(a)*x,AC:y=-sqrt(3)*xθA
solve([y=tan(a)*(x+2),y=-sqrt(3)*x],[x,y]);x=-2*tan(a)/(tan(a)+sqrt(3)),y=2*sqrt(3)*tan(a)/(tan(a)+sqrt(3))
DA^2ʿǵ
factor((-2*tan(a)/(tan(a)+sqrt(3))-(sqrt(3)*tan(a)^2+2*tan(a)-sqrt(3))/(2*tan(a)))^2+(2*sqrt(3)*tan(a)/(tan(a)+sqrt(3)))^2);
3*(tan(a)^6+2*3^(3/2)*tan(a)^5+45*tan(a)^4+4*sqrt(3)*tan(a)^3-17*tan(a)^2-2*sqrt(3)*tan(a)+3)/(4*tan(a)^2*(tan(a)+sqrt(3))^2)
BD^2=(Dxɸ+2)^2
factor(expand(((sqrt(3)*tan(a)^2+2*tan(a)-sqrt(3))/(2*tan(a))+2)^2));
3*(tan(a)^4+4*sqrt(3)*tan(a)^3+10*tan(a)^2-4*sqrt(3)*tan(a)+1)/(4*tan(a)^2)
DA^2=BD^2ȤƱõ
(tan(a)^6+2*3^(3/2)*tan(a)^5+45*tan(a)^4+4*sqrt(3)*tan(a)^3-17*tan(a)^2-2*sqrt(3)*tan(a)+3)/(tan(a)+sqrt(3))^2=
(tan(a)^4+4*sqrt(3)*tan(a)^3+10*tan(a)^2-4*sqrt(3)*tan(a)+1)դʬդ˳ݤƺդʬҤưʬ򤹤
factor((tan(a)+sqrt(3))^2*(tan(a)^4+4*sqrt(3)*tan(a)^3+10*tan(a)^2-4*sqrt(3)*tan(a)+1)-(tan(a)^6+2*3^(3/2)*tan(a)^5+45*tan(a)^4+4*sqrt(3)*tan(a)^3-17*tan(a)^2-2*sqrt(3)*tan(a)+3));
-8*tan(a)*(tan(a)^3-3^(3/2)*tan(a)^2-3*tan(a)+sqrt(3)(1)
ǡtan(60)=(3*tan(a)-tan(a)^3)/(1-3*tan(a)^2)=sqrt(3)
sqrt(3)-3*sqrt(3)*tan(a)^2=3*tan(a)-tan(a)^3tan(a)^3=3*sqrt(3)*tan(a)^2+3*tan(a)-sqrt(3)
(1)Ȥ(1)=0 ꡡDA^2=BD^2DA=BD
DABջѷǢDAB=20
EABABE=20,BEA=60BAE=100
DAE=DAC=BAE(=100)-DAB(=20)=80롦()
˭ԡ 715ʶ 19:07:07 44807
Ȥ
#44794
>ܣ¤ʬ򣴣롢ʤɤʤɤȤDz֤ڤ᤽ʡˤǤ͡ޤ뤫狼ޤ󤬡

ʬ#44807Ʊͤʺɸ

ľBDACθE(sqrt(1+tan(20*%pi/180)),0),D(0,0),B(-2,0)Ȥȡ
A((sqrt(1+tan(20*%pi/180))-2)/2,tan(20*%pi/180)*(2+sqrt(1+tan(20*%pi/180))/(1-tan(20*%pi/180)^2))
BD=2 BD^2=4 ǡtan(20)=tan(a)ȤƻʿǡBA^2
factor(((sqrt(1+tan(a)^2)-2)/2+2)^2+tan(a)^2*(2+sqrt(1+tan(a)^2))^2/(1-tan(a)^2)^2);
(tan(a)^2+1)^2*(sqrt(tan(a)^2+1)+2)^2/(4*(tan(a)-1)^2*(tan(a)+1)^2)줬4(=BD^2)Ȥ
factor((tan(a)^2+1)^2*(sqrt(tan(a)^2+1)+2)^2-4*4*(tan(a)-1)^2*(tan(a)+1)^2);
4*tan(a)^4*sqrt(tan(a)^2+1)+8*tan(a)^2*sqrt(tan(a)^2+1)+4*sqrt(tan(a)^2+1)+tan(a)^6-9*tan(a)^4+43*tan(a)^2-11
tan(a)^2+1=1/cos(a)^2 sqrt(tan(a)^2+1)=1/cos(a) Ǻǽ3
(4*tan(a)^4+8*tan(a)^2+4)/cos(a)=4*(tan(a)^2+1)^2/cos(a)=4/cos(a)^5 Ĥ4
tan(a)^2=1/cos(a)^2-1
factor((1/cos(a)^2-1)^3-9*(1/cos(a)^2-1)^2+43*(1/cos(a)^2-1)-11);
-(64*cos(a)^6-64*cos(a)^4+12*cos(a)^2-1)/cos(a)^6
ǽ3+Ĥ4ʬ򤷤
factor(4/cos(a)^5-(64*cos(a)^6-64*cos(a)^4+12*cos(a)^2-1)/cos(a)^6);
-(8*cos(a)^3-6*cos(a)-1)*(8*cos(a)^3-2*cos(a)+1)/cos(a)^6(1)
cos3ܳѤθꡡ4*cos(a)^3-3*cos(a)=cos(60*%pi/180)=1/2ꡡ8*cos(a)^3-6*cos(a)=1
(1)ǡ8*cos(a)^3-6*cos(a)-1=0(1)=0
BADBA=BDBAD=(180-40)/2=70뢤BAEǢDAC=180-ABE(=40)+AEB(=40)+BAD(=70)=30롦()

ǤäƤޤǤ礦?Ȥˤڤꤢ꤬Ȥޤ
˭ԡ 716ڡ 0:00:00 44808
̤ꤹ1
ϴؤDz򤳤ȤȤʤϫϤפޤ((
ϻDz򤭤Ǥ
񡡡 715ʶ 23:58:21 44809
ˤ⡼
306090٤ľѻѷûդĹդ椬ˤʤˤѤĤġջѷ򶯰˺Ф顢Ի׵ġФ㤤ޤ
ŪʲˡϡޤꥹޡȤǤϤʤʸϤǽ񤯤Τ⥴㥴㤷ơȲʤΤǡϳ䰦Ƥ orz

޻Ա¶ʼΡˡ 716ڡ 3:53:17 44810
ǯ
#44799
Ǥ⡢ʬǤäƤߤȡȣĤѷοĺľˤʤ뤳ȤñΤˤǤޤ󡣤ɤäΤǤ礦
716ڡ 14:30:05 44812

#44808Ȥ⤵󡢤꤬Ȥޤ
ʻ伫ȤջѷǤƤ줤ʤȤϤڤΤ餯Ǥ

Ϻꡡ 717 2:07:43 44813
̤ꤹ1
ʤ󤫡Ψ㤯ʤä((
񡡡 717 8:58:54 44814
٥륯åĥ
񤷤ä餽ΤǤϡ
뤤ϥѥΥॢåƤ뤻
717 9:59:30 44815
N
󥰥졼꤫ʡ
717 23:40:29 44816
̤ꤹ1
äơǤ󥰥졼󥰥졼äƸƤ뵤
ޤϥޥ뤵󥪥ꥸʥǤ礦(Ȼפw)
񡡡 718ʷ 8:45:27 44817

ʤߤˤ󥰥졼ΤƤγ٤(10ܿ)Ǥ褦(߼Ѥ꼫ʤΤ)礦300̤ꤢޤˤʿͤϼºݤ˿夲ƤߤɤȻפޤ
718ʷ 11:53:32 44818
̤ꤹ1
ޤ͡
񡡡 718ʷ 21:09:00 44819
粬ҹ
30ջѷäƵޤʡ

ŪȸĿŪˤϻפäƤǤ
718ʷ 21:59:57 44820
̤ꤹ1
#44820
ŪǤؤǤ򤱤ޤ
񡡡 719ʲС 9:12:24 44821
ͺ
ǿʤΤǤβ򶵤Ʋ
m,nϡ
m(mܣ)n(n57)
ΤȤnȤƤꤦͤ

ꤤޤ
719ʲС 20:37:02 44822

m(m+2)=n(n+57)
ѷȼƱͤ롧
(2m+2n+59)(55+2n-2m)=59*55
2m+2n+59, 55+2n-2mϤȤʤΤǡȤ59*55
ä2m+2n+5959礭Τǡͤ59*5, 59*11, 59*55Τ줫˹ʤ롣
2m+2n+59=59*5ΤȤ
55+2n-2m=11ʤΤǡm,nϢΩȤߤƲ򤯤(m,n)=(70,48)
2m+2n+59=59*11ΤȤ
55+2n-2m=5ʤΤǡ(m,n)=(160,135)
2m+2n+59=59*55ΤȤ
55+2n-2m=1ʤΤǡ(m,n)=(810,783)
änΤȤꤦͤ783
720ʿ 0:36:23 44824
ͺ
꤬Ȥޤ
m(m+2)=n(n+57) ѷϡξʿܹषƤȤΤǤ
ǤΤǤ礦٤⤹ޤġ
720ʿ 7:56:28 44825

#44812
ǯԤ
ACBDαĹθEȤEѷνſ
ȤΤȴñ˵ޤȻפΤǤ
721ڡ 0:00:00 44826