n
ͤ褦ȻפäɤäƤޤä
1229ڡ 0:05:46 26417
ޥ
ࡢ빽񤷤ȻפäƽꤷΤǤ...orz
PowerBook G4 1229ڡ 0:06:19 MAIL:masaru-y@sansu.org HomePage:26418
CRYING DOLPHIN
22.53045ΤȤѤɤƱˤʤäΤ
äƤޤޤ
ǯԥ奦ȡ 1229ڡ 0:09:19 HomePage:θ³äƤɤΤ餤26419
mhayashi
ѤäˡФĤ˰פ롦Τ˻֤ݤޤ
1229ڡ 0:10:39 HomePage:M.Hayashi's Web Site26420
ޥ
ʤۤɡüʾͤ.....ޤĤʤͽۤϤĤ䤹ʡȤϻפäƤޤ(^^;;
PowerBook G4 1229ڡ 0:11:42 MAIL:masaru-y@sansu.org HomePage:26421
ߥƥ
0Ǥ 9/4 ˤʤǤ͡
ޤȤ (?) ͤƻ֤ޤ||
1229ڡ 0:15:35 HomePage:ߤ26422
ߥƥ
45ΤĤäǤʤ
1229ڡ 0:16:23 HomePage:ߤ26423
ߥƥ
ġġ
1229ڡ 0:17:24 HomePage:ߤ26424
CRYING DOLPHIN
äѤǤʤ

# Ǥ...ޤǤʤäΤˡ
ǯԥ奦ȡ 1229ڡ 0:20:22 HomePage:ȤƻȤ26425
Ϥ
SHINKOBA1ޡǤȤޤ
1229ڡ 0:18:46 26426
kasama
Фϡס˥ꥢ륿ǻäޤ빽֤ޤޤȤ(^_^;
1229ڡ 0:20:50 26427
ޥ
졩и򴹤αƶ..Ǥʤ

äĴ٤Ƥߤޤ
PowerBook G4 1229ڡ 0:22:46 MAIL:masaru-y@sansu.org HomePage:26428

45٤λϤǤ
ʳγ٤ϵƤʤΤ
ͤƾޤ
1229ڡ 0:23:14 26429
ޥ
Ϥꥵи򴹤ä褦Ǥߥޥ󤬡εǤޤ..ʤ...Ȼפޤ
PowerBook G4 1229ڡ 0:23:21 MAIL:masaru-y@sansu.org HomePage:26430

ѡ£СѢݣ£ФʤΤ
ߣࣲࣲ᣹
1229ڡ 0:26:02 26431
ark
˻ƴְäޤʤǤ˺ϤȲ򤭤ޤ

AQBEȤʤ褦CDŤPG//BFȤʤ褦ľABƤȤ롣
ȢABQȢBCEϹƱʤΤBE=3
ƢBFPEʿԻշʤΤFP=3 , FPAQθHȤ
ABHȢAPHϹƱʤΤHP=3/2
äƵѤ9/4
1229ڡ 0:37:59 26432
ߤ
郎ޤ˾ʤΤǡѤä˽ŤͤƤȤǤ
֤ˡȤޤ
1229ڡ 3:33:09 26433

Τפ⤫ȤƤʴ
http://image.blog.livedoor.jp/czax/imgs/5/d/5d7d075c.bmp?blog_id=1143047
ABQQD˰פ褦˲žBΰܤB'
AQ//PHȤʤ褦HAB'ˤȤ롣

ǧǤ뤳
٤δطˤPA=PB'ʤΤHAB'
PHQB'θMȤоΤȤQM=MB'
QAB'ľջѷʤɤS(APQ)=S(AMQ)=9/4

ʲꤽ

1229ڡ 7:57:52 26434
ϥ饮㡼ƥ
Ϥ褦ޤ˻ǯͥ˻
򤤤ƤޤǼǤ
̶彣 1229ڡ 9:53:38 HomePage:ĩ26435
ʤ
ܳѤθ

sin2 = 2sin cos ˵夷ޤ
http://www3.sansu.org/tables/san1229_94.gif
̹񡡡 1229ڡ 11:12:58 MAIL:naka@sansu.org HomePage:naka's Home Page26436
uchinyan
Ϥˤϡ󡢤ɤΤ褦ǯ򤪲ᤴǤ礦ϡθ夫Ҥ٤ߤˤʤޤ ^^/
轵Ϥ٤ߤʤǤ͡ȾХۥäȤơȾлǰ (^^;
ơǤ

īȤϡǽ顢P B AQ ޤ֤ΤʡǤ⡢Ǥ̷⤹뤷ȤѤʤȤͤƤޤޤ
ְ㤤˵դˡ3cm ϥͿƤޤγ٤ξǤϿ޷ꤷʤơ
BAQ = QAP = 45١פˡQ C P D ˰סȥ򤷤ơ
AQP = 1/2 * ABCD = 1/2 * (3 * 3 / 2) = 9/4 cm^2 ǡǧڤ̤äƤޤäΤǡ
Ȥ򤷤Ƥޤޤ (^^;
ơˤʤäơΤǺƹ͡ࡢפ֤ʿ̴ǤʤʤդޤǤ

P AQ ˿򲼤­ H ȤޤAQP = 1/2 * AQ * PH = 3/2 * PH ʤΤǡPH ʬOKǤ
ǡAPQ AQ ˴ؤޤ֤ƤߤޤBAQ = PAQڤ AP > AD = AB ʤΤǡP AB B αĹ˰ưޤ
ΰư P E Ȥޤ餫ˡιˡ顢PH = 1/2 * PE Ǥ
줫餬줷ΤǤɡB PE ʿԤCD Ȥθ F ȤޤޤBF AQ θ G ȤƤޤ
ȡBF//EPBE//FP ꡢBEPF ʿԻշǤäơPE = BF ˤʤޤ
ǡABQBCF ˤơAB = BCABQ = 90 = BCFQAB = 90 - ABG = FBC ʤΤǡ
ABQ BCFAQ = BF = 3cm Ǥ
ǡPH = 1/2 * PE = 1/2 * BF = 1/2 * AQ = 3/2 cm ȤʤꡢAQP = 9/4 cm^2 ˤʤޤ

ʤߤˡɸǤåƤߤޤ
A(0,0), B(a,0), C(a,a), D(0,a), P(x,a), Q(a,y) ֤ȡAQP = 1/2 * (a^2 - xy) Ȥʤꡢ빽줤ʼǤ
ϡBAQ = PAQ ٥ȥѤǷ׻ȡޤˡa^2 - xy = 9/2 Ȥʤޤ줫顢AQP = 9/4 cm^2 Ǥ

ѴؿäƤߤޤʤƱ褦ǤΤǡάޤ

̲ϡꤽǤ͡
ͥνȡ 1229ڡ 14:25:06 MAIL:uchi@sco.bekkoame.ne.jp 26437
uchinyan
Ǽġɤߤޤ
ߤ#26434ĤΤȤǤϤޤʤ 9/4 = 3 * 3 / 4 ʤǡ
3cm λʬΰ졢ȤˡʡȻפäƤޤβˡϤޤˤǤ͡

䢤ABQQD˰פ褦˲žBΰܤB'
ϡ֢ABQBD˰פ褦˲žQΰܤB'פǤ͡¿ʬ
ark#26432ϡ㤤ޤ¼βˡƱȻפޤ
PG//BFȤʤ褦ʡ
ϡPE//BFȤʤ褦ʡפǤ礦餬äʬˤ¿ʬƱȻפΤɡ
#26431ϡüʾͤƤΤʡ
ѡ£СѢݣ£ФʤΤ
ϡ̤ˤϤޤ󡣤줬ΤϡBAQ = QAP = 45 ξȻפޤ
üʳ٤ͤΤ¤ϡϰִñʤΤʡ ^^/
ͥνȡ 1229ڡ 15:31:39 MAIL:uchi@sco.bekkoame.ne.jp 26438
uchinyan
ݤʤǤarkβˡȡߤβˡ­ƣdzä̲Ǥ
¤ϡǽϤͤƤޤΤǡ͡
APQ AQ ˴ؤޤ֤ AEP ꡢPH = 1/2 * PE ƳޤǤϡ#26437ƱǤ
ޤABQ B D ˰פ褦˲ž Q ΰܤ B' ȤޤǤϡߤ#26434ƱǤ
ǡPAB' ˤơPAB' = PAD + DAB' = (90 - 2 * QAB) + QAB = 90 - QAB = AQB = PB'A ʤΤǡ
PA = PB'APB' = 180 - 2 * PAB' = 2 * QAB ˤʤޤ
ǡAEPPAB' ˤơAE = AP = PA = PB'EAP = 2 * QAB = APB' ʤΤǡ
AEP PAB'PE = EP = AB' = AQ = 3cm Ǥ
äơPH = 1/2 * PE = 3/2 cm ȤʤꡢAQP = 9/4 cm^2 ˤʤޤ
ͥνȡ 1229ڡ 15:53:04 MAIL:uchi@sco.bekkoame.ne.jp 26439

>uchinyan
Ǥְ㤨ǤǽϣǤǤƤΤǡ

AQBEȤʤ褦CDŤPF//BEȤʤ褦ľABƤȤ롣
ǤͤܤƤ
1229ڡ 20:59:16 26440
⡼ޥ
#26434
nߤβˡϤɻפĤʤ
#26436
ʤˡޡȤǤʤ

錄ϡcm ξä餤Ǥ褦ʿ޷ˤǤʤʤäơǡκǡP C ˰פƹͤޤʥǤ͡

޷϶(Ǥ⤳ǵޤԻ׵ĤǤ͡

ǯ⤤äѤڤޤƤޤƤ꤬Ȥޤ
ޥͤϤᡢͤɤ褤ǯ򤪷ޤޤ
1230ʶ 0:38:37 MAIL:kennji72001@yahoo.co.jp 26441
uchinyan
#26440
Ϥְ㤤Ǥ򸫤ȡɡβˡϡE F ȤȿФʤǡƱˤʤäƤޤޤ ^^;
βˡ#26432#26437ޤΤϡεˡǤȡPE E B ˽Ťʤ褦ʿ԰ư뤳Ȥˤ櫓Ǥ
E A ޤʿ԰ưСߤβˡ#26434ȤĤʤ櫓ǡ¤ϡ礭ʺϤʤΤ⤷ޤ

ޥ뤵󡢳󡢤Ȥˤ⤫ˤ⡢ǯϡ꤬Ȥޤ m(__)m
ǯ⵹ꤤפޤ褤ǯ ^^/
ͥνȡ 1231ڡ 11:13:58 MAIL:uchi@sco.bekkoame.ne.jp 26442
⡼ޥ
ǯۤǤߤʤ˻
֤Сͧͤ򤪺ʡˤȤƤޤޤĨʤåפޤΤǤ̣ĺйǤ
ʥޥ͡OrZ
1
nȤ롣ΤȤnܿǤꡢn+1
Ķ33....300.0ηɽ
Ȥ򼨤

2
ȹε夬100ĤݤǤޤüȱü
ϹεǤüϢ³ĤǤϤޤ
εǡȹο褦ˤǤ뤳Ȥ򼨤

錄ǯۤǻŻǡ
äͷDz줿餦줷ʡ
1231ڡ 14:29:11 MAIL:kennji72001@yahoo.co.jp 26443
weapon
άǤ

1
a_k=3...3 (3k)Ȥ롣
a_1,a_2,a_3,...,a_(n+1)a_xa_y (mod n),x<yȤʤx,y¸ߤ롣(ȷ㸶)
Τ褦x,yФơa_y-a_x=3...30...00

2
xοyοȤ(0,1)(100,99)ޤdzʻ̤ûΥǿʤ(ʤɤǤ褯ܤˤ)
ΤȤy=xڤ餺ã뤳ȤԲǽ
1231ڡ 16:53:01 26444
weapon
άǤ

1
a_k=3...3 (3k)Ȥ롣
a_1,a_2,a_3,...,a_(n+1)a_xa_y (mod n),x<yȤʤx,y¸ߤ롣(ȷ㸶)
Τ褦x,yФơa_y-a_x=3...30...00

2
xοyοȤ(0,1)(100,99)ޤdzʻ̤ûΥǿʤ(ʤɤǤ褯ܤˤ)
ΤȤy=xڤ餺ã뤳ȤԲǽ
1231ڡ 17:00:12 26445
⡼ޥ
#26444
weaponء
ȤñˡǤ
ɤ⥹ޡȤʬ䤹

ʤߤˡ錄ϡ

֥顼ʤƤʤ顢
̤
10^a1 (mod a) ʤΤǡa 10 Ȥϴ
10^n-1=n*3M
10^n ϡn+1 ǡ999 ȡ9 n¤Ǥ롣
ϤĤޤ 3*(333) ʤΤǡ333 n dz
Ȥȡˡ0 դäơn+1˳ޤ͡
10 ȴǤʤ2,5,10 ΤȤϡ餫
Ǥ⤳ˡ3912510ʳλˤϰ̤ˤϤʤ


ֹ99Ϣ³ơ򤬼99Ϣ³¤Ǥϡ198٤вǽδ֡ΤkĤѤäƤƤ⡢λϡ99ĤΤ줫ΣĤˤʤäƤ顢198٤о˸롣
199ܤ򤬹ѤäƤϡ98Ϣ³¤ӡ³98Ϣ³¤ǤͤƱ͹ͤ196٤вǽ̤ˡüˣϢ³ƹС200-2k٤вǽȤ롩
99Ĥξ硢ǽ2Ĥϡ¤ǤϤޤ͡

ʤĤʤˡǾƤޤʷȥåݥ󡢱ťκʡ

ΤѤɤǯۤīäƤȡˤˤʤޤǤ͡
1231ڡ 19:06:57 MAIL:kennji72001@yahoo.co.jp 26446
weapon
⡼ޥ󤵤
mathnoriܸڡ褷ޤ
᡹ߤǤ
1231ڡ 21:12:30 26447
uchinyan
⡼ޥ󤵤weaponء
⡼ޥ󤵤󡢤ŻϫޤǤ
⤦˵ʤǤޤޤ⡼ޥ󤵤ͤƤߤޤΤǡ
ɤ⤢ޤꥹޡȤǤϤޤ󤬡ͤޤǤˡ

1
nȤ롣ΤȤnܿǤꡢn+1
Ķ33....300....0ηɽ
Ȥ򼨤

d m ¤ǤΤ d...(m)...d Ƚ񤯤Ȥˤޤ
3 m ġ0 k ¤Ǥ硢 c 3...(m)...30...(k)...0 ǡm + k <= n+1 Ǥ
m >= 1, k >= 1 ȻפޤΤȤ
c = 3...(m)...30...(k)...0 = 10^k * 3...(m)...3 = 2^k * 5^k * 3...(m)...3
դޤ
ơ̤ n ϡn = 2^a * 5^b * N N 2 5 ǰˤ⤿ʤȽ񤱤Τǡ
n | c Ȥʤˤϡa <= k, b <= k, N | 3...(m)...3ɬ׽ʬǤ
a = b = 0 ξ
⤷ 3...(m)...3 N ʲΰۤʤ m1, m2, N >= m1 > m2 Ф N dzä;꤬Ȥȡ
3...(m1)...3 - 3...(m2)...3 = 3...(m1 - m2)...30...(m2)...0
N ܿΥϥǡN 2 5 ǰ˴ޤޤʤΤǡ3...(m1 - m2)...3 N dzڤ뤳Ȥˤʤޤ
⤷ 3...(m)...3 N ʲΰۤʤ m Ф N dzä;꤬٤ưۤʤȤȡˤ 0 ˤʤΤϤǤ
ˤƤ⡢N ʲŬ m ФơN | 3...(m)...3 Ωޤ
m Фơa = b = 0 ʤΤǡn = N Ȥʤꡢn >= m ʤΤǡk = 1 Ȥդޤ
a not= 0 b not= 0 ξ
a <= k, b <= k ξꡢk a, b 礭˼ޤ
n = 2^a * 5^b * N ꡢ
n+1 - k - N = 2^a * 5^b * N + 1 - k - N = (2^a * 5^b - 1) * N + 1 - k >= 2^a * 5^b - 1 + 1 - k = 2^a * 5^b - k
餫 2^a > a, 5^b > bڤ k = a or b ʤΤǡ
> a * b - k = a * (b - 1) or (a - 1) * b >= 0
Ĥޤꡢn+1 - k >= N Ǥ
N ˴ؤ N | 3...(m)...3 ϡa = b = 0 ξƱʤΤǡn+1 - k >= N >= m Ȥʤ m Ȥ뤳ȤǤޤ
äơդޤ
ʾǾϽǤ

2
ȹε夬100ĤݤǤޤüȱü
ϹεǤüϢ³ĤǤϤޤ
εǡȹο褦ˤǤ뤳Ȥ򼨤

ü֤˵äƤȤͤޤ
ơɤޤǼäƤäƤƱˤʤʤȲꤷޤȡ
üϹʤΤǡܤϹǤʤФʤޤ󡣤ĤޤꡢĤεϡǤ
ܤǤǤOKǤäĤεοϹ¿ʤޤ
ܤϡܤʤǤǤOKǤܤʤйǤʤФʤޤ
ξλͤĤεο¿ʤäƤޤ
ʹߤƱǡü n ļäȤεοϹ¿ʤäƤʤФʤޤ
Τʤ顢⤷Ʊʤкǽβ˰ȿޤ
⤷¿äǽϹ¿äΤǡɤƱˤʤʤФʤޤ󤬡Ⲿ˰ȿޤ
Ȥʤȡü199ĵäȤ199ĤεϹ¿Ȥˤʤޤ200ܡüʤΤǡ
200ĤεϹ¿ȤˤʤޤϺǽΡȹε夬100ĤݤǤޤפȤ̷⤷ޤ
ǡɤȹο褦ˤǤ뤳Ȥˤʤޤ
ͥνȡ 1231ڡ 21:36:38 MAIL:uchi@sco.bekkoame.ne.jp 26448
⡼ޥ
#26447
weaponء
mathNoriܸ쥵ȤΤޤǤ
衪ǤϤ錄ˤϲ򤱤ˤʤꤷĤäƤʤʤ

#26448
uchinyanء
Ĥꤢ꤬Ȥޤ
ˡͤΤǻä򤤤Ǥͤ
1ϡweaponθ;οȷ㸶Ǥ͡
2ϡˡǤΥץ褯Ǥޤɤ⤢̣ʿͤߤʴǤ͡

ǯޤ򤽤꤬ФϪܤޤΤǤޤ
ξΤޤʿ¤ľ³ޤ褦ˡ
12ˤߤʤǯۤ顼򿩤ͽˤƤޤ
1231ڡ 22:43:20 MAIL:kennji72001@yahoo.co.jp 26449
ѤѤ
ޤƤǤȤޤ
11 0:36:24 26450
⡼ޥ
ǯޤƤǤȤޡ
Ȥꤢīޤʿ¤Ǥޤ褦ˡ
⤦ʢäѤǤ
11 0:54:08 MAIL:kennji72001@yahoo.co.jp 26451
ޥ
ǯޤƤǤȤޤǯ⣱ǯ֡ꤤޤm(__)m

ǯϻΩƤޤähttp://www.e-arena.net/ˤȤ⤢äƤХХƤޤޤǯܶȤ˻Τܤ˸Ƥޤ֤ޤ굤ĥ餺ȡ³ƤĤǤΤǡɤ뤤ܤǸäƤйǤ(^^;;

ǯˤϤ֤֤ѥѤΡĩסhttp://nan.sansu.org/ˤٻߡʤޤǤ..Ǥ͡ˤˤʤʤƤȤ⤢ޤǯCRYING DOLPHINΡ֥ԥԥסhttp://cdcdcd.sansu.org/ˤͽä⤷ޤ͡ޡ¦⻲üԤγ⡢褯ڤɤʤȤפäƤޤ

ʤ櫓ǡȤ⤤ȤǤ򤪤ȤϻפޤȤꤤޤm(__)m
PowerBook G4 11 9:02:21 MAIL:masaru-y@sansu.org HomePage:26452
uchinyan
ޥ뤵ޡߤʤ
ޤƤǤȤޤǯ⵹ꤤפޤ
⡢֤ޤ굤ĥ餺ȡפȲ򤤤ƤĤǤ (^^;
Ȥ櫓ǡäϲΥȤ򤤤Ƥޤ ^^/
ͥνȡ 11 11:30:03 MAIL:uchi@sco.bekkoame.ne.jp 26453
ݤ
ǤȤޤ
ǯϼˤʤäƤ䡣
ïߤƤꤤ޼
Ƹɡ 11 20:15:35 MAIL:hopes@mba.ocn.ne.jp HomePage:ȣϣУţӤ褤Ȥ٤Ϥ26454
ޤ夢դޤ
ޤƤǤȤޤ
ǯܥɻߤƬȤƻäƤ餤ޤ
ߤʤޡ餫ˤ
͡ 11 23:36:14 MAIL:top-amateur@u01.gate01.com 26455
Ȥ
ޤƤǤȤޤĤ̤˺ɸ֤+Ѵؿ
褺դο޷A(0,0),B(a,0),C(a,a),D(0,a),BAQ=QAP=bȤ
ľAQ:y=tan(a)*x
ľAP:y=tan(2*a)*x=2*tan(a)*x/(1-(tan(a))^2)
ǭľBCθǤQ(a,tan(a)*a)
ޤľCDθǤP(a*(1-(tan(a))^2)/(2*tan(a)),a)
AQ=sqrt(a^2+a^2*(tan(a))^2)=a*sqrt(1+(tan(a))^2)=a*sqrt(1/(cos(a))^2)
=a/cos(a)
줬դ3a/cos(a)=3cos(a)=a/3
ޤAPĹsqrt((a*(1-(tan(a))^2)/(2*tan(a)))^2+a^2)
=sqrt(a^2*((tan(a))^2+1)^2/(4*tan(a)^2))
=a*((tan(a))^2+1)/(2*tan(a))=a*(1/(2*(cos(a))^2*sin(a)/cos(a)))
=a/(2*sin(a)*cos(a))=a/sin(2*a)
դǤAQ=3ȤꢤAPQѤϸ
3*(a/sin(2*a))*sin(a)/2=3*(a/(2*cos(a)*sin(a)))*sin(a)/2
=3*(a/(2*cos(a)))/2=3*a/(4*cos(a))
ȡȤꢤAPQ=3*a/(4*a/3)=9/4()
ǯȯǤ褫äǯꤤޤ
˭ԡ 12ʷ 15:25:15 MAIL:fttnm528@ybb.ne.jp 26456

Ǥ顢عʾƤϻѤޤǡա߹⤵/2ͤޤˡȤϡBP1ܡAQBQθMȤ롣BMQȢAPQäƤMBPBQAQȤ
1.5=3:Z xz=4.5 ȤABQȢAPQϹƱBQPQ
äxz ߡ1/22.25 ˤʤޤ

14ʿ 19:02:43 MAIL:sokurates2001@yahoo.co.jp 26457
̾õ
ޤƤǤȤޤ
AQˤĤơPоABˤP'Ȥޤ
PP'AQθMȤơPM=P'M
PP'AQľ򤷤ޤ
äPP'=AQᣳ
äơAPQ=AQPMࣲᣳߣࣲࣲ᣹

16ʶ 7:48:44 26458
⡼ޥ
#26458
̾õ夵ޤء
˥ԥȤʤȤΤǤ
֤äPP'=AQ
äȾܤƲޤOrZ
ջ餽ʤϤȤʬǤɡ
޷϶ʤΤǡ
ꤤޤ
16ʶ 9:00:44 MAIL:kennji72001@yahoo.co.jp 26459
uchinyan
äȸʤ˵ˤʤˡġܦۤɽ񤭹ޤƤޤ
#26458
⡼ޥ󤵤ΤäȤꡢ֤äPP'=AQפϡȤƤΤǤ褦˻פޤ
ʤߤˡ#26432#26437#26439#26442ʤɡͤޤǡ
#26457
ࡢѤʵޤ
AQBQθMȤ롣
ϡAQBPθMȤ롣פǤ͡¿ʬȤƤ⡥
䢤BMQȢAPQäƤMBP
ʤ
⤷M BP Ȥ顢ABP BAQ = PAQ ʤΤǡ褯Τ줿ꡢABAP = BMPM = 11 ǡAB = AP Ǥ
APD ˤơADP = 90٤ʤΤǡBAQ = PAQ = 45 Ǥʤ¤ꡢAP > AD = AB ǡ̷Ǥ
äơM BP ȤΤϡBAQ = PAQ = 45 Ȥüʾ˸¤Ȼפޤ
ˤˡʤΤʡʤСΤɡ
(äɲ)
#26456
tan(a) ʤɤϡtan(b) ʤɤǤ͡äȡ
ͥνȡ 16ʶ 14:20:03 MAIL:uchi@sco.bekkoame.ne.jp 26460
Ȥ
#26460 βˡΥߥΤŦ꤬Ȥޤ
ľȻפ֤ȡȻפäƤޤ
uchinyan 󡡤ΥϻβˡޤȤǶṹƤʤ
ȤѻͤˤʤäƤޤ
줫ꤤޤ
˭ԡ 17ڡ 0:04:42 MAIL:fttnm528@ybb.ne.jp 26461
̾õ
#26459 #26460 Ŧ꤬Ȥޤ
­ޤ
֤äPP'=AQ
AB=DAǤꡢ
٥ȥŪˤAQ=AB+BQǤ뤳Ȥ顢
٥ȥPP'ϥ٥ȥAQ򣹣žΤʤΤPP'=AQǤ
٥ȥAQ=(a1,a2)٥ȥPP'=(b1,-b1*a1/a2ˤȤȡAB=DA
b1=a2äPP'=(a2,-a1) äξ٥ȥĹ

뤤ϡABˡPƱ⤵RȤȡ
PRP'ᢤABQʤΤPP'=AQǤ

뤤ϡ
AP'ʿ԰ư
ȿײˣžȡ
QϸޤP˰פ
ʤʤʤ顢žˤQPƱľP'P˾¸ߤˤʤꡢ
QPƱCD¸ߤˤʤ뤫
äPP'=AQ
18 11:28:13 26462

UCHIYAN󤴻Ŧ꤬Ȥޤ򤪤ޤ

᡼뤷Ǥ϶äƤޤ
ŦΤȤ꤬ޤ

դξΤȤǢPAQľѢˤϤʤꤨʤ
ͳϡ⤷PAQľѢȲꤹȡBAQȢPAQϹƱ
AB=AP ˤʤ롣
ȤPDAܤAP>DA(APľѢPDAμ)
ޤABDAABCD1դˡ
APDAAB
äƾҤβꤵ롣

ĤľѢQPAѤǤա߹⤵ˡ1/2١Ȥ롣

QľAP˿򲼤θP'Ȥ

QPA(APQP')1/2Ѥϵޤ롣

ABx, BQ=y Ȥȡx^2+y^2=3^2=9

BAQȢP'AQϹƱǤľѢ

AB=AP'=x BQ=QP'=yPPǤܤ롣

BPǤĹCPȤθRȤ
BAQȢCBRϹƱǤľѢ

ޤ BQACRBBP'A =BQA BP'A=RP'P(ĺ)
äƢPRP'բ(PR=PP')

PP'=zȤȡPP'Q ȢPQCϤȤľѢǤ뤫

P'Q^2+PP'^2=QC^2+CP^2x,y,z

2zy=9-2xy ʤz=(9-2xy)/2y=PP'

äAPAPPP'=y+(9-2xy)/2y QP'=y 򭤤

QPAѤϡ9/4=2.25 cm^2 ˤʤޤ
18 14:19:42 26463

ۤɥ᡼뤷Ǥ2սꤢޤ

BPǤĹCPȤθRȤȡ

BPǤĹCDȤθRȤȡ

äAPAPPP'=y+(9-2xy)/2y QP'=y 򭤤

äAPAP'PP'=y+(9-2xy)/2y QP'=y 򭤤
18 18:08:32 26464

ۤɥ᡼뤷Ǥ2սꤢޤ

BPǤĹCPȤθRȤȡ

BPǤĹCDȤθRȤȡ

äAPAPPP'=y+(9-2xy)/2y QP'=y 򭤤

äAPAP'PP'=y+(9-2xy)/2y QP'=y 򭤤
18 18:08:56 26465

ޤޤǤ
äAPAP'PP'=y+(9-2xy)/2y QP'=y 򭤤

äAPAP'PP'=x+(9-2xy)/2y QP'=y 򭤤
18 18:20:51 26466
uchinyan
̾õ夵󡢹贬󡢾ܤ򤢤꤬Ȥޤ
ɤ⡢ǽŪʵҤȻפޤ
ʤβˡǤʤΤϻǰǤߤ#26434Ȼפޤͤޤǡ
ͥνȡ 18 22:00:27 MAIL:uchi@sco.bekkoame.ne.jp 26467
⡼ޥ
ˤʤǡ
ޤޤͧͤСʤޤäƤʤǤ錄ʤˤϲ򤱤ޤΤǡ


(a)(b)줾ꡢΤɤ餬Ĥ
(a)19*91(b)19*92ιΥѻ椬ꡢޥܤ
1Ĥ뤤Ϥʾ塢Ĥ褦˹ɤäƤ
ޤޥܤ2ɤꤹ뤳ȤϤǤޤ󡣺Ǹ
ޥܤɤäͤǤ
19ʷ 2:25:29 MAIL:kennji72001@yahoo.co.jp 26468
uchinyan
#26468
ȡդȤפդάʤΤǡȴʤɤۤǤ
(a)ɬ(b)ɬ
ǤϤʤʡάȤƤϡ
(a)ϡ礦ѻΤɿ˥ޥܤΤǡϡǽˤɤޤ
ϡ꤬ɤɤȤ⡢ɬɿΥޥܤоΤʰ֤ɤΤǡ
ɬˤʤޤ
(b)⸶§ƱǤ92ĤȤȡ٤ϡ(a)ΤɿΥޥܤȤξΥޥܤȤ
ͭդ(b)Τɿǡޥܤˤʤޤ
ǡ꤬ɤɤȤ⡢ɬɿоΤʰ֤ɤΤǡ
ɬˤʤޤ
ʤάȡȤΤϴطʤǤ

ˤʤǡ
ˤʤ顢ۤΥȡhttp://micci.sansu.org/ΡnewפͤƤߤ줿顩
ɤʤʤ̣ΤǤ
ͥνȡ 19ʷ 11:21:49 MAIL:uchi@sco.bekkoame.ne.jp 26469
⡼ޥ
#26469
uchinyanء
Ĥʤ®β˴ˤǤ
(a) ϡ錄⤽ͤޤϤɤäƤϿ뤳ȤϤǤʤ褦ʵƤƤޤĤޤꡢ꤬оΤС꤬ĤǤ⿿뤷ǤʤΤСϡоΤ³СǽоΤȡ椬Ĥ뤫Ϥ꤬餱롣ȻפäƤޤ꤬оΤˤȤ礭ȤϤ䤳ʤꤽǤ͡äѤꡢäƤΤǤ
(b) ϡоΤ顢꤬äʬоΤ꤬äƹԤиξȺǽ錄ͤޤ꤬濴ˤޤʬФ䤳ɡͤΤϡ꤬濴ˤޤäơ18^2Сϡ濴ˤޤäƤϤɤƤʤΤǡϤξȹͤޤ

ۤΥȤ˹ԤäƤߤ褦顦
ȤǡuchinyannϡMathNori.com ȡ
http://jp.mathnori.com/Ϥ¸ΡʰɤʤҲ𤵤ƤΤޤ
ϡȤʤǤDz򤱤Τʤ錄ˤϲ򤱤ʤΤ¿ɡ˷빽ޤ衣
19ʷ 16:17:20 MAIL:kennji72001@yahoo.co.jp 26470
uchinyan
#26470

(a)Ϥ褵Ǥ(b)Ϻƹͤɬפʤ⡼ޥ󤵤άǤΤʡ褵ʴǤ͡
Ȥʤȡ꤬ʤΤʤۤɡ
MathNoriϻ⡢ǯβƤ黲äƤޤ
񤷤꤬¿ΤǡٹԤͤäơ¾λ˻ʤȤʤʤǤޤȾʬ򤱤Ƥޤ (^^;
빽ƴǤǤƤޤΤ⤢ΤǤɤƤʤΤʬ餺Ǻꡥ
⡼ޥ󤵤ϡȡ190򤤤ƤǤϤʤǤ
ޤΤӤäƤĤǤ ^^/
ͥνȡ 19ʷ 18:28:34 MAIL:uchi@sco.bekkoame.ne.jp 26471
⡼ޥ
#26471
uchinyanˤǧƤ¿ޤ
ǤǤ͡

MathNori Ǥ衣äݤΤǤ򤱤Ϥ錄ˤϤ⤦ĤäƤʤǡ
⹻λˤϡۤȤˤϻѴؿʬʬäƤʤäʤäƺפäƤޤ⤦ä˺Ƥ뤷
򤤤ƤäƤʤäơʤäŷͤäƤΡˡºɤǰ˾Ƥޤ衣
19ʷ 19:40:11 MAIL:kennji72001@yahoo.co.jp 26472
kasama
ܸڡ http://jp.mathnori.com/ ʤ(>_<) ʤΤʤ(^_^?) http://www.mathnori.com/ ʤ鳫ޤ
111ʿ 11:24:38 26473
⡼ޥ
#26473
kasamaء
ۤȤǤ͡ΤޤdzƤǤ
䥯ꥢƤǤ͡ʡ
Ѹ⤽ʤդǤʤ٤Ⱦüʤ
Ǥ򤱤βǤʤǤ礦͡äȥ󥸤Ƥޤ
111ʿ 15:48:20 MAIL:kennji72001@yahoo.co.jp 26474
kasama
#26474 ⡼ޥ󤵤󡢤꤬Ȥޤ(*^_^*) Τ褦˸äƤ館ȴ򤷤Ǥo(^-^o) Ǥ⡢ޤü첽ǤäĤ빽ޤ(^_^;
ˤƤ⡢⡼ޥ󤵤uchinyanοŪʹͻˤϤƬޤ񤭹ߤɤ򤹤()ΤդǤ
111ʿ 16:28:22 26475
ݤ
󡣤ͤत٤ߤʤ
Ƹɡ 111ʿ 23:39:33 MAIL:hopes@mba.ocn.ne.jp HomePage:ȣϣУţӤ褤Ȥ٤Ϥ26476