ޤ
3,4ǯγعüAˤ褯Ƥޤ͡
äꤷޤ
414ڡ 0:08:14 44348
٥륯åĥ
ѷγդ¦ѷ򤯤äĤȡˤ礦ѿŸޤԤäޤ
414ڡ 0:10:15 44349
Mr.ǥ
٥륯åĥ #44349 ˤΤƱޤơޤ
414ڡ 0:32:57 44350
ߤ
μϡ̤ο޷פѷ˽񤭹פ
򤱤뤳Ȥ¿ɡʺԤDz򤱤ˡˡǤϲ򤱤ޤǤ

ϻѷʤɤ٤ѷϥե꡼ϥɤǽ񤤤ƺȤŤ餤ȤΤ
ɤͤƤ礭ʥͥåȤʤäƤޤޤ͡
414ڡ 0:36:33 44351
ؽ
ԥåܤɽˡƤ꤬ܤäƤޤ
ˤƤ⡤إǡ(裱)󤬶ŤƤޤ͡ڤ߳ڤߡ
ͽۤȤƤϡ餤ʤġ
䣱ȥꥢ륿໲äǤʤΤᤷǤ
414ڡ 0:45:05 44352
ǯ
ѴؿȤäƵޤ
ǤˡϤ줫顥
414ڡ 1:43:56 44353
ǯ
äȡ13ĺ20٤ջѷ9ѷؤϤѷ뤳ȤѤˡ뤳Ȥפޤ

9ѿ̤濴oĺ9Ĥλѷʬ䤹롣
ΰĭoabȡ¦̤λѷ1ĭxabx9ѿĺˤ򳰸ˤäĤơоΤ2Ĥλѷxoaȭxobʬ䤹롣
9ѷ濴OȰABǺ줿OABͤ롣
OABABդȤѷABCĤȡ
١1020ˤդĹxaACˤ顢xoaAOCƱͤˤƭxobBOC
OABͳѷxaobȡѷABCʡ4cm2ˤĤ롣
줬9ĤʤΤǡ4*9=36 cm2

٥륯åĥ#44349Mr.ǥ#44350ˡȽ䤹ɤǤ͡
ɤäɡDz򤱤ƤۤäȤޤϤ줿ϤäƤߤΤǤ

414ڡ 7:51:03 44354
Ȥ
1֤Ĺx^2*sqrt(3)/4=4 x=4/3^(1/4)
3=36/(sqrt(3)*tan(20*%pi/180))
2=72*sin(20*%pi/180)/sqrt(3)+9*16*sin(10*%pi/180)^2/(sqrt(3)*tan(20*%pi/180))
3-2ϡXMaxima

trigsimp(trigreduce(trigsimp(36/(sqrt(3)*tan(20*%pi/180))-72*sin(20*%pi/180)/sqrt(3)-9*16*sin(10*%pi/180)^2/(sqrt(3)*tan(20*%pi/180)))))$
factor(%/(4*3^(3/2)))$
factor(expand(ev(%,cos(2*%pi/9)=2*cos(%pi/9)^2-1,sin(%pi/9)=sqrt(1-cos(%pi/9)^2))))$
factor(num(%)^2-3*denom(%)^2)$
trigsimp(trigexpand(cos(3*a)))$
ev(%,a=%pi/9)$expand(part(%o4,2)-2*(%-1/2))$expand(4*3^(3/2)*sqrt(3));36()
˭ԡ 414ڡ 5:15:51 44355

Ϥ褦ޤ
̲˴줺
٥륯åĥMr.ǥƱͤʿޤǹͤޤ
Ĥ񤷤ʤǤ
ɤȻפޤ
414ڡ 8:45:30 44356
CRYING DOLPHIN
Ƥߤ޷Ǥ
ttp://cdcdcd.sansu.org/pika/junkfoods/san1-q969-sei3sei9patapata.png
ï⤤ʤԳϡ 414ڡ 9:33:42 HomePage:֥⤢롣44357
ֿء׾ι
ѴؿȤäƵ᤿ΤǤ
36/3(2cos40-cos20)/sin20Ȥʤꡢ
ȾλѴؿͤΤ˻ͶȬ졪

ѴؿDz򤫤줿ɤѷ򤷤Ƶ᤿ΤƤ

פޤäơwxMaximaǡ
(2*cos(2*%pi/9)-cos(%pi/9))/sin(%pi/9);
float(%), numer;
Ȥơ
1.732050807568877
Ϣ3ǤϤʤǤǡ̵ʡˤ36ˤʤޤ
414ڡ 11:00:32 44358
CRYING DOLPHIN
#44358
cos40cos(60-20)
cos60cos20+sin60sin20
cos20/2+(3sin20)/2

(2cos40-cos20)/sin20
(2(cos20/2+(3sin20)/2)-cos20))/sin20
(cos20+3sin20-cos20)/sin20
(3sin20)/sin203

ѴؿǤϲ򤤤Ƥʤ(
ï⤤ʤԳϡ 414ڡ 11:20:57 HomePage:֥⤢롣44359
uchinyan
Ϥˤϡơϡ
ϴñǤ͡ȤƤפǤ礦
ʴǡ

ޣѤŸޤͤСѤѤɽѤˤʤޤ
ŸޤˤѷäƤγդ˳¦˥ޥåդȤջѷäĤƤΤӤޤ
ȡջѷδ֤γ٤ϡ
360- ѷΣĤ - ջѷ * 2 = 360- 140- 80* 2 = 60롤
ȤʤΤǡջѷĺѤĺ٤СޣѷϤޣѷˤʤޤ
ǡ
ޣѤɽѤȿޣѷѤκ = ޣѷʬ = 4 * 9 = 36 cm^2
ˤʤޤ

ؤǤ㤴Ȳ򤯲ˡϤ󤢤ޤˡ¾ˤΤʡ
414ڡ 11:34:44 44360
Ȥ
#44358
>ѴؿDz򤫤줿ɤѷ򤷤Ƶ᤿ΤƤ

#44355
ѷλ XMaxima $;򤹤

4*3^(3/2)*(2*cos((2*%pi)/9)-cos(%pi/9))/sin(%pi/9)ˤ
(2*cos((2*%pi)/9)-cos(%pi/9))/sin(%pi/9)=sqrt(3)Ȥ
(4*cos(%pi/9)^2-cos(%pi/9)-2)/sqrt(1-cos(%pi/9)^2)=sqrt(3)
4*cos(%pi/9)^2-cos(%pi/9)-2=sqrt(3)*sqrt(1-cos(%pi/9)^2) ξ2褷
(4*cos(%pi/9)^2-cos(%pi/9)-2)^2-(sqrt(3)*sqrt(1-cos(%pi/9)^2))^2-,ʬ򤷤
(2*cos(%pi/9)-1)*(8*cos(%pi/9)^3-6*cos(%pi/9)-1)=0
(4*cos(%pi/9)^3-3*cos(%pi/9)=cos(60)=1/2)
(2*cos((2*%pi)/9)-cos(%pi/9))/sin(%pi/9)=sqrt(3)Ω ȺǽμȤ
4*3^(3/2)*(2*cos((2*%pi)/9)-cos(%pi/9))/sin(%pi/9)=36()
˭ԡ 414ڡ 12:21:12 44361
ˤ
ߤʤƱȻפޤ
Ѥ򳫤ơ֤ѷʬ
414ڡ 12:37:14 MAIL:nikotan@fat.coara.or.jp 44362
uchinyan
ǼĤɤߤޤ


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

ϡΰ㤤ϤΤΡƱǡ
ޣѷγդ¦˿ޣѷ򤯤äĤȻĤ꤬ޣѤŸޤˤʤ롤
ȤˡΤ褦Ǥ͡

ʤ#44358
仰ѴؿDz򤫤줿ɤѷ򤷤Ƶ᤿ΤƤ
#44359ˤ褦Ǥä㤨Фʴʡ

ޥåĹ 2a٤ñ̤ϡ֡סȤޤ
ޣ2a * (3)a * 1/2 = 3 * a^2 = 4
Ѥθꡤ
ޣѤɽѤȿޣѷѤκ
= a/sin(20) * a/sin(20) * sin(40) * 1/2 * 9 - (2a * 2a * sin(20) * 1/2 + 2asin(10)/sin(20) * 2asin(10)/sin(20) * sin(40) * 1/2) * 9
sin ܳѤθꡤ
= 9a^2 * (cos(20)/sin(20) - (2sin(20) + 4(sin(10))^2 * cos(20)/sin(20)))
sin ȾѤθꡤ
= 9a^2 * (cos(20)/sin(20) - (2sin(20) + 4((1 - cos(20))/2) * cos(20)/sin(20)))
= 9a^2 * (2((cos(20))^2 - (sin(20))^2) - cos(20))/sin(20)
cos ܳѤθꡤ
= 9a^2 * (2cos(40) - cos(20))/sin(20)
= 9a^2 * (cos(40) + (cos(40) - cos(20)))/sin(20)
Ѥθꡤ
= 9a^2 * (cos(40) - 2sin(30)sin(10))/sin(20)
sin ˤơ
= 9a^2 * (sin(50) - sin(10))/sin(20)
Ѥθꡤ
= 9a^2 * (2cos(30)sin(20))/sin(20)
= 9a^2 * 2cos(30)
= 9a^2 * 3
= 3 * a^2 * 9
= 4 * 9
= 36 cm^2
ˤʤޤ
414ڡ 13:12:14 44363
ֿء׾ι
#44363
꤬ȤޤʤۤɡǤ

> = 9a^2 * (cos(40) - 2sin(30)sin(10))/sin(20)
> sin ˤơ
> = 9a^2 * (sin(50) - sin(10))/sin(20)

sinˤƤʬȯۤФƤʤäȤޤޤm(_ _)m
414ڡ 13:15:32 44364
ֿء׾ι
#44359
夷ޤcos40cos20ȤäɽȤȯۤǤʤäΤޤޤm(_ _)m

ˤǤ꤬͡Ȥޤ
414ڡ 13:20:57 44365
ֿء׾ι
#44361
꤬Ȥޤ
3ܳѤθǡ2060ˤƹԤꡢ˴ޤ
xMaximaäٶȻפޤ
414ڡ 13:31:28 44366
Recall
ס줿ޤ
äѤŸѷϤѷΤñȻפޤ
414ڡ 19:39:54 44367

⤫ФѴؿĩ路ܳѤʤΤäʤȻߤޤꡢΨι⤵Ԥ¿ˤäȴñ˵ˡ˰㤤ʤȡäȤߤʤοޣѷ˿ޣŸޤϤޤ˻פޤCRYING DOLPHIN󤬤äȤꡢ޷Ǥ͡
414ڡ 20:04:40 44368
ǯ
#44358>ѴؿDz򤫤줿ɤѷ򤷤Ƶ᤿ΤƤ
ǽϻѴؿǵޤʣǥ֥åפ褦ȤפäΤǤ٤ιबޤäޤ
uchinyan#44363Ʊ褦ˡâޥåĹxȤ
(9x^2/4)(2cos(40)-cos(20))/sin(20)
ޤǵơ40=30+1020=30-10Ȥơʬ򤹤ȡ
ʬʬҤγ٤ιबˡcos(10)ݢ(3)sin(10)Ȥʤäƾäޤ
414ڡ 20:36:21 44369
fumio
פ֤Ǥ޽񤤤򤱤ޤʾС
褤1000Ǥ͡͡ޥ뤵
ǯ奪ե߳ڤߤˤƤޤ
ǤϤǤϡǡ
415ʶ 0:53:28 44370
fumio
ɿ44346ɤߤޤߤޤ
̵ʤǤޥ뤵
415ʶ 0:56:54 44371

Ÿ޽񤤤ƤäǤޤ
415ʶ 9:49:26 HomePage:44372
⡼ޥ
ʤϤ^^;
礤㤤ƤޤɽѤǤΤ ^^;;
ʰվͤ
4*9=36
¨ ^^;v 415ʶ 20:57:15 44373
ޥ
եߤǤԤǤλΥʥ󥹤ˤʤޤΤǡޤꤷˤʤꤽǤ5/2ͼǼ»ܤޤ
MacbookPro 417 14:56:44 44374