ëʤäƥ꡼󴧣
Ͽ̾񤭴ְ㤨ơ֥㥤ҡפäƤޤޤϤäᤫäΤˡʼʬͷǤΤⰭǤɤ͡

褯ƧߤĤ֤줽ˤʤ꡼ĹΰػҤκ̤桡 330ڡ 0:07:18 46166
ëʤäƥ꡼󴧣
Ͽ̾񤭴ְ㤨ơ֥㥤ҡפäƤޤޤϤäᤫäΤˡʼʬͷǤΤⰭǤɤ͡

褯ƧߤĤ֤줽ˤʤ꡼ĹΰػҤκ̤桡 330ڡ 0:07:24 46167
ë徾
ϥ㥤Τ褦ƲȤ餺˥פΤ(©)
äʬٴǷפ(äƤ롩)Ȥ
θͤȾ󤬾ʤΤ30٤2ܤγѤ⤢ΤǤϡȹͤ
ή桡 330ڡ 0:14:52 46168
ë徾
ФФʤǤ⤢ʤΤ
ή桡 330ڡ 0:16:13 46169
ФȤ
3045Τɤäʤ5ߤäƤޤ
ˡϺͤƤޤ
330ڡ 0:26:31 46170
baLLjugglermoka
ͤδ㤤ä餹ߤޤ
Ϥη׻ADCEĤꡢAB򼴤ABDEޤ֤ѷĤǤơ٤30ˤʤäΤǤǴְ㤨ޤ
330ڡ 1:54:33 46171
ǯ
ABDBD򼴤ȿžAιԤEȤ롣
ABDBA˰פ褦ACˤäĤAιԤFȤECFϰľ¤֡
ABEѷAEFAĺȤջѷ
BAD30ʤΤǡAFCAECBAD30
AECܢDCE3090Τˡ40
330ڡ 2:08:35 46172
kyorofumi
AC:AD = sin2x:sinx
AD:BD = sin30deg:sin(2x-30deg)
Since BD = AC,
sin(2x-30deg)=cosx
and we find therefore x = 40deg
330ڡ 2:26:22 46173
ˤ
޷϶Ǥʴ
Ķļˡ 330ڡ 5:41:24 46174
ֿء׾ι
ǤǤΤˡ;ޤǻȤäΤǰŻǤ̵Ǥ
330ڡ 8:31:28 46175
ëʤäƽ񵭡Q֥
ĥ˹ԤäƤƵ٤ߤޤ
󴧣󡢾轵פǤ(轵̵ɡˡ
ȥϤѤޤ(̾ˤʤäƤʤˡ

񵭥ӥξʤλȤػҤκ̤βǤܤʤ鿷桡 330ڡ 21:09:33 46176
uchinyan
Ϥˤϡơϡ
դࡤϾͤޤ30ѷAC = BD ABD ΰưʡȻפդƲ򤱤ޤ
ǤɸŪǤ礦ʴǡ

ABC BC ˴ؤޤ֤ A ΰư EABD BD AC ˰פ褦˰ư A ΰư FȤޤ
F AC ˴ؤ BD ȿ¦ˤޤޤACD = Ȥޤ
ȡECF = ECB + BCA + ACF = ACB + ACB + ADB = ACD + ACD + (180- ADC) = + + (180- ) = 180롤
ĤޤꡤECF Ʊľˤޤ
ˡAB = EBABE = ABC * 2 = 30* 2 = 60롤ꡤABE ѷǡAE = AB = AFǤ
ǡAEF AE = AF ջѷǡAEF = AFE
AEF = AEC = BEC - AEB = BAC - AEB = (180- ABC - ACB) - AEB = (180- 30- ) - 60= 90-
AFE = AFC = BAD = ADC - ABD = - 30롤ʤΤǡ
AEF = AFE90- = - 30롤 = 120롤ACD = = 40롤
ˤʤޤ

ʤߤˡؤǤϻȤȴñǤΤ褤ˤʤǤ礦
ʤȤϤȰפƤޤäΤϡ
󤬲򤱤Ƥкϲ򤱤ʤȤԷǼĤˤƤޤΤǡä꤫⡥
330ڡ 12:30:38 46177
uchinyan
ǼĤɤߤޤ


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

ࡤճȽ񤭹ߤʤǤ͡

ˡϡ#46172#46177ǡ
ABC BC ˴ؤޤ֤ A ΰư EABD BD AC ˰פ褦˰ư A ΰư FȤ
ABE ѷAEF AE = AF ջѷȤäƲ򤯲ˡ
Τ褦Ǥ

ʤߤˡزˡʤСȤä桤Τ褦Ǥ͡
330ڡ 12:56:02 46178
ǯ
󹹿413ȤȤʤΤǡϤ٤ߤǤ͡
13ڤߤˤƤޤ
330ڡ 15:22:25 46179
̤ꤹο
魯Ƥ
Ƥ櫓Ǥˤϡ
񡡡 330ڡ 18:44:29 46180
Ȥ
ɸD(0,0),C(1,0)ȤľDA,CAθȤA
ľABy=0BκɸޤBD,ACΤǡXMaxima

part(solve([y=trigexpand(tan(2*a))*x,y=-tan(a)*(x-1)],[x,y]),1)$
rhs(part(%o1,1))$rhs(part(%o1,2))$
rhs(part(solve(0=sqrt(3)*(x-%o2)/3+%o3,x),1))$
num(factor((-%o4)^2-(%o2-1)^2-%o3^2))$
-factor(trigreduce(num(factor(ev(%,tan(a)=sin(a)/cos(a))))));
sqrt(3)*sin(4*a)+cos(4*a)+2*cos(2*a)

a=ִݤa=2*ִݡ(0)ȤơXMaxima
expand(sqrt(3)*trigexpand(sin(2*a))+trigexpand(cos(2*a))+2*trigexpand(cos(a)))$
ev(%,sin(a)=sqrt(1-cos(a)^2))$
factor(part(part(%,1),4)^2-(%-part(%,1))^2/(part(part(%,1),1)*part(part(%,1),2)*part(part(%,1),3))^2);
-(2*cos(a)+1)*(8*cos(a)^3-6*cos(a)+1)/(12*cos(a)^2)(1)
3ܳѤθ4*cos(a)^3-3*cos(a)=-1/2(a=80)Ȥ8*cos(a)^3-6*cos(a)=-1(1)0
(0)80=2*ִݡꡡִ=40롦()
˭ԡ 331ʶ 0:01:23 MAIL:fttnm528@ybb.ne.jp 46181
ˤ⡼
줿ˡϤ줫ͤޤʤȸäƤǽ񤤤ȤϤʤ
ڽǤΤޤ¡ 331ʶ 0:17:21 46182
鯤ο
ACDȤȤȡBAD2-30
ABDȤȡ
BDAD*sin(2-30)/sin302AD*sin(2-30)
ADC2ܳѤȤȡ
ACAD*sin2/sinȡ2AD*cos
AD=BCꡢ
cosȡsin(2-30)
ACDȡBAD2-30붦˱ԳѤ顢
+2-3090
äơȡ40
//
331ʶ 0:34:57 46183
cocogoo
.Ȥ46183Ʊˡˤʤޤ
331ʶ 1:01:13 46184
2N.K.
331ʶ 11:44:56 46185
2N.K.
ʢä
顼󿩤
331ʶ 13:01:40 46186
ï
ʬäƤʤäΤƤޤǰ

41ڡ 12:26:09 46187
̤ꤹο
ƤƱϢ³äƽ餸͡(Ƕ褿˲̤Ƥ)
ɤǤ⤤ǤN.K.Ŀ3ʤΤǤϡw
񡡡 42 13:31:48 46188
3N.K.
ۤޤ
Ф⤦3Ǥ

42 21:47:53 46189
2N.K.
յ٤ߤνǤޤ
42 21:48:28 46190
٥륯åĥ
֤٤ʤäƤޤޤ
ĿŪˤϤǯ1֤2֤äȻפޤ
43ʷ 22:59:18 46191
ޥ
ʤ˻ŻΤȤФΤϤɤȤ⤹ΤǤ

勵ηȤȤǡؼγؽΤäƤޤʥ󥯤ϲˡˤơؤιֻդäƤߤϤä㤤ޤǤ礦ޤޤǤ櫓ǤϤʤΤǤ⤷äСȤȤǡ

̣Τϡmasaru-y@sansu.orgޤǡϢޤ褦ǤСʾСˡиϤʤƤפǤʾĴƤ餤ޤΤǡ

http://www.e-arena.net/index.html
MacBook Pro 45ʿ 15:38:38 HomePage:46192
ޥ
ȡǯΣǣץեߡǤŪԹǡ˹ԤȻפäƤޤŪˤϡ6/11ˤͤƤޤ
MacBook Pro 45ʿ 15:40:24 HomePage:46193
Mr.ǥ
Ϥ٤ߤä褦ʤΤ
֤ҤĤޤ֤פ֤ҤޤĤ֤פ񤭹Ǥߤޤ

ۡ24ѷ24ĤĺΣĤǻѷĤȤ
3դȤ⤬24ѷդȶͭʤ褦ʻѷϲढ뤫Ƥ
ʤƱʻѷ϶̤ʤ
46ڡ 12:14:08 46194
uchinyan
äȡϤ٤ߤǤ͡äꤷޤ

#46192
ؤιֻդ
̣ϤޤʬοΤưĴĵѤ뤫ʬʤǤϡ
ǰʤԲǽǤ礦
ɤͤĤȤǤ͡

ˤ϶ˤ⤫ʤؿꡤ⹻οؤʪζʤޤ
½κݡˤ϶դȤƴŪ˽פȻפʤȤ˵դ
´ȻˤϡΩ⹻θ䡤ХȤƤΤ³ꤤȤ꤬Ͷ⤢äΤǤ
ɥ᡼˽ޤ

ХȤϡػǯؼޤǡܤȤҤμعʤɡȤޤ
äȤ⡤ػǯϽΤٶǤϤʤͷӤƤ褦ʤΤǡˤĤΤ˶ϫޤ
Ҥμعضܥ٥βϳؤǤȤˤ׻Ǥ뤳ȤɸäΤǡȤ
פСؼ֤䤹äʡǤ礭ΤѤǤϤޤ

äȡƤȽ񤤤ƤޤޤɤФƤ (^^;
46ڡ 12:48:06 46195
ǯ
#46194
ƱλѷϣĤȸʤȤΤϡ빽ɤǤ͡
򤱤뤿ˡ
1ѷ򤪤
Ĥ21ĺ򡢤ѷ3դʬۤ롣
24ѷդͭʤˡʬۤ1ʾ塣
ƱʤΤʤˡ213ĤʬƱȤ߹碌Ϥʤȡ
ξǿޤ
ʬۤκǾͤ1λ1-1-191-2-181-10-10 10
ʬۤκǾͤ2λ2-2-172-3-162-9-108
ʬۤκǾͤ3λ3-3-153-4-143-9-9 7
ʬۤκǾͤ4λ4-4-134-5-124-8-9 5
ʬۤκǾͤ5λ5-5-115-6-105-7-95-8-84
ʬۤκǾͤ6λ6-6-96-7-82ġ
ʬۤκǾͤ7λ7-7-7 1
פ37ĤǤ礦
47ʶ 15:41:13 46196
uchinyan
#46194
(3H18 - 9 * 3 - 1)/6 + 10 = 37
47ʶ 16:04:57 46197
Ф
Ƭ顢Ǥϲ򤱤ʤƿػȤäʣʻˤʤäѴؿιǤ줤ʼˤʤ뤳Ȥ˵ŤȤñ㡣

ޥ
ؤäƤߤʤǤⰵŪ˵ɤ¾λŻ뤫ȤƤ⤸ʤǤʤʤ5ǯԤäƤƤʤʡ̵ʡ

դϡѰճʤȤ˲椬Ȥ˺ǤäŻȸäƤ褯ꤵȤҤʤۤɴñӤ夬ꡢ˾˳ڡ뤳Ȥ狼ä

ؤơĻҶΤǤʤ꤬ɤʤΤʬȤΤǤ롣ʿͤäƤˤꤹΤʤ
47ʶ 18:59:25 MAIL:hbmath1965@yahoo.co.jp 46198
Ф
Ϥʤ⡢դ罸򤷤Ƥޤäľ¡Ĥʤ3000ߡʳʤ4500ߡ󤯤˹ԤݤǤ
47ʶ 19:12:40 MAIL:hbmath1965@yahoo.co.jp 46199
Mr.ǥ
ǯԤ#46196 uchinyan󡡡#46197
ȤǤͭ񤦤ޤƱͤˤʤޤ
ξϡ2򣳤ĤʬۤƤơĤ18򡡡0ޤơ3
ɲäˡ
(5,0,13)Τ褦ˡ̤С202̤
̤ʤ
3ĤƱΤȡ.........{6,6,6}Σ̤
ĤƱΤ....{0,0,18}{1,1,16}{2,2,14}{9,9,0}Ρ9̤
3ĤۤʤΤ.......20C2̤Τ¤ؤΤ
3!dzꡡ2029*31/627̤

ס1+9+2737̤......Τ褦˲򤭤ޤ
uchinyan#46197ȡۤȤƱƻڤȤ⤤ޤ
48ڡ 0:20:18 46200