ޥ
⤷ƲĶñˡޤǤ礦ꥸʥʤΤ԰¤Ǥ...ʲ˽ꤷƤ...Ȥ԰¤⤢ޤåޤ
PowerBook 823ڡ 0:08:01 MAIL:masaru-y@sansu.org HomePage:30529
banyanyan
9/8ǤʤΤǤ͡
Իԡ 823ڡ 0:13:02 MAIL:banyanyanmi@yahoo.co.jp HomePage:뤤²ײݻ30530
Ĺ
#30530
Ʊ

ꡢ󣷥ɥͥǤޤ
Ǥ⡢ͥåȤĤʤФΤǤ
ϤޤޤĤ 823ڡ 0:14:50 HomePage:åλؤ30531
ޥ
#30530
ߥޥ󡢥ѥϿߥƾ񤭡ʺǽ9/8Ͽ³1.125Ͽ..ˤƤޤޤ

԰ΤۤϡξȤդƤϥǤm(__)m
PowerBook 823ڡ 0:15:49 MAIL:masaru-y@sansu.org HomePage:30532
㡼ߡ
tan = 1/2 뤳ȤƳƤȤʤɤǡ
ο޷ˤƤϰפǤ͡
𡡡 823ڡ 0:16:20 MAIL:ojamaru@amber.plala.or.jp 30533
Holly
BED˲­HȤơ
BHF梤DHB梤ADF
BH:DC=1:3 ȤѤդĤ˷׻ޤ

DEB梤ABC Ѥ...?
-----
#30535
ˡƳȤʤǤ͡
823ڡ 0:23:43 30534
㡼ߡ
#30534 DEB梤ABC Ϻǽ˵դΤǤȤʤäΤ
ȤޤǤ
B CD ˿򲼤ޤܼŪˤƱǤ͡
𡡡 823ڡ 0:21:58 MAIL:ojamaru@amber.plala.or.jp 30535
Ѥ
ĤãŤ˿򲼤ãŤȸäȤǤȤȡ
ģǡ3/2ʤΤǢģţ¡3/4
ޤģţ¤ȣã¤1:4Ǥο޷ʤΤǡã¡ᣳ
ãŤ˿򲼤ãŤȸäȤȤȤȡ
ѤȡᣳȤʤäΤǡţäľջѷȤȤ˵դ9/8ȵޤ
֡ 823ڡ 0:22:36 HomePage:ʥڡ30536
ޥ
ϡޤ֤פꤷƤޤ
PowerBook 823ڡ 0:23:55 MAIL:masaru-y@sansu.org HomePage:30537
å
BCMȤơDM֡
DEBȢDCMƱDABCDMꡢDM//AB
äơADDC11 , DFFE11
äơAFDѤϡDEC1/2
823ڡ 0:26:49 30538
ӣţͣԣţ
ޤˤñǤ
823ڡ 0:30:17 30539
volxa
DEB梤ABCAD+AC=2DEAD=DC
EFD梤CDBDF=1/2DE
ǡCDEȾʬȤޤ
Ȥʤ䡦
823ڡ 0:32:08 30540
Ҥ
£äȢģ£ŤʤΤǣģšáᣲ
ģšģáĤȤʤꡢţĤľջѷʢģţäȹƱ
ͥ饦ǣģơƣšᣱ
ߣ.ࣲߣ᣹
ʼ˸ 823ڡ 0:33:37 30541
ʸ
魯Ƥ
ĻȤäƲ򤭤ޤ
823ڡ 0:37:20 MAIL:kyorofumi@msn.com HomePage:ʸ30542
ߥ˥
ģţäľջѷʤΤǡȤäƣģäĹФƤģŤģƤĹФޤ
ޤġģä顢ġߣģơ1/29/8ȵޤ
˻ѤΤȿ§Ǥ͡
823ڡ 0:39:21 30543
⡼ޥ
ľջѷ=3^2/2 1/4
3^2/8=9/8
823ڡ 0:42:50 30544
ݤ
#30529
եեե԰¤θϤĤȤǤʤĤ䤬ȯäǼ͡
ۤʤ򡣥ԥԥȰ⡦
¤äѤ餤ƬˤΤǤ
Ǥϡޤ褦
äѤ餤ŷ񡡡 823ڡ 0:49:42 MAIL:hopes@mba.ocn.ne.jp HomePage:HOPES褤Ȥ٤Ϥ30545
ayaka
Ϥ᤿Ǥˤʤ뤳Ȥ狼äƲ򤤤ñǤ
BCDȢBEFȤȤ˵ŤС4:1
CDEľջѷǤ뤳ȤܤСBCDBEFDBEѤФޤ͡
BCD=3^2(1/4)(2/3)=3/2
BEF=3/2(1/4)=3/8
DBE=3^2(1/4)-(3/2)=3/4
顢BDFޤꡢBDF=3/4-(3/8)=3/8
ȤϡABCȢDBEǤ뤳ȤѤơ
ABC=3/44=3
袤ADF=3-(3/2)-(3/8)=9/8
Ͼγڱࡡ 823ڡ 0:52:48 MAIL:jjyhr530@yahoo.co.jp 30546
ǥ
μǽФޤ
(1)BCGȤȡDBEᢤDGC CDGEDBAȤʤ
ADDCDGABʿ
(2)DBC˲Ĺ3/2cm,DBC(1/2)*2*3/23/2(cm^2)
(3)AD=DCꡢADBᢤDBC3/2BED˿BH򲼤ȡ
BF:AFBH:ADBH:CDEB:EC1:3
(4)äơADFᢤADB*(3/4)(3/2)*(3/4)9/8(cm^2)

823ڡ 1:06:51 MAIL:cacrh525@hcn.zaq.ne.jp 30547
ma-mu-ta
BCGȤDG֤ȡ
DCGᢤDEBǡCDGEDBCABꡢDG//AB
ȡADDCBGGC11 ꡢADDC顢
FC֤ȡAFDᢤCFD
ޤEFFDEBBG11ʤΤǡ
AFDᢤCFDᢤDEC1/2331/41/29/8c

823ڡ 1:52:42 30548

γȤ򤱤ޤɤʤ552ѤΤߤ򶵤ƤäϩˤϤޤǤޤޤ
823ڡ 11:06:51 30549
uchinyan
Ϥˤϡơϡ
Ϥ䤵äΤǤϤʤʤɤʤȤ֤Ȥϻפޤ

BAC = BDEDEC ľջѷ ACB = 45= DEB ꡤABC DBE ǡACDE = BCBE = 21 Ǥ
DE = DC ʤΤǡACDC = 21 ǡD AC Ǥ
ǡC F ֤ȡAFD CFD Ǥ줫顤CFD ѤФǤ
D AB ʿԤ BC Ȥθ P ȤȡBPPC = ADDC = 11BP = 1cmEFFD = EBBP = 11 Ǥ
ǡCFD = 1/2 * DEC = 1/2 * 1/2 * 3 * 3/2 = 9/8 cm^2AFD = CFD = 9/8 cm^2 ˤʤޤ
ͥνȡ 823ڡ 11:33:37 MAIL:uchi@sco.bekkoame.ne.jp 30550

ۤɤηǤФ狼ȤΥ֡󥰤ӤǤβʤΤǤꤤޤ
823ڡ 11:45:47 30551
uchinyan
ǼĤɤߤޤࡤʲˡ褦Ǥ

#30533
Ѵؿ

#30534
BED˲­HȤơ
䢤BHF梤DHB梤ADF
BH:DC=1:3 ȤѤդĤ˷׻ޤ
֤դĤפäƲ
ä顤Ȥ AFFB = 31EFFD = 11 ȤФƷ׻ɡ

#30535
B CD ˿򲼤ޤܼŪˤƱǤ͡
ŪˤϤɤäΤʡ#30533ȹ碌ƹͤȡ12 򤦤ޤȤäǤ礦
ʤ#30534⤽ǤDEB ABC Ѥϡ
#30536#30540#30541#30546#30550ʤɤΤ褦ˤФǤޤ

#30536
DEB ABC Ѥˡ#30550Ȥϡʬ㤦褦Ǥ
䢤ţäľջѷȤȤ˵դ
ݥȤǤ礦

#30537
ϡޤ֤פꤷƤޤ
βˡˤϤʤ褦Ǥɤޤ֤Τʡ#30538äݤΤǤ礦

#30538
BCMȤơDM֡
츫㤦ΤǤ¤ϡ#30550ȻƤޤñǤ͡

#30540
DEB ABC Ѥˡ
䢤DEB梤ABCAD+AC=2DEAD=DC
AD + DC = 2 * DE δְ㤤Ǥ͡
䢤EFD梤CDBDF=1/2DE
EFB CDB δְ㤤Ǥ͡
ǡCDEȾʬȤޤ
ʤۤɡ⡤¼#30550ȻƤޤñʤ
Ȥʤ䡦
񤫤ʤǺѤʤСΤǤ ^^

#30541
DEB ABC Ѥˡ
ܻۤ#30550ƱǤAED ľջѷǤ뤳ȤȤäƤäƤޤ

#30542
ĻȤäƲ򤭤ޤ
Ǥʬޤ󤬡#30540Ʊʡ

#30543
Ȥäˡ

#30544
ľջѷ=3^2/2 1/4
ľջѷAEC = 3^2/2 1/4Ǥ͡
ŪˤɤäΤϡˡμǤʬ餺 (^^;

#30546
EFB CDBDEB ABC Ѥˡ
ĤѤФƤľʲˡȻפޤ

#30547
#30538#30534碌褦ʲˡ

#30548
#30538ƱȻפޤϤꡤ줬ִñʤ

ʤˤϴطʤǤ
#30549#30551
ɤʤ552ѤΤߤ򶵤Ƥ
ȤȤǤ礦7/2 cm^2 Ǥ
䤹äϩˤϤޤǤޤޤ
Τˤ񤷤ä
䤽βʤΤǤꤤޤ
졤ۥȤʤǤ͡
ޥ뤵󡤤ɤʤäƤΤǤ礦
ͥνȡ 823ڡ 23:42:49 MAIL:uchi@sco.bekkoame.ne.jp 30552

#30551
3.5Ǥ
ãФĹƣ¤ȤθĤȤȡģСУá17
УҤαĹˣУУáУŤȤʤ褦ŤȤȡãŢᢤ£
ʾꡢ£СУҡ76
823ڡ 13:43:20 30553

uchinyan¼夵®Υետ夲ޤɻ򤱤ʤȲǤΤξ⻲ͤˤƤޤμ򤤤Ȥñ˲򤱤뾮ϼºߤΤǤ礦湭Ǥ顢ߤΤȤڤ̣ԤƬǾä˷ϼºߤΤǤ
823ڡ 14:08:30 30554

뤫ʤǸСޤ
ζ(Ŀͽ)Ǥڤ̣ΤҤǯޤ
823ڡ 14:26:59 30555

;ȤäƤޤä
ǹͤΤϡ֤;͵Ȥˤޤ
ɤǤޤm(_)m
ļˡ 823ڡ 20:04:50 30556

#30554

٤Ǥ顢硦ʤк70٥
ΩؤܻؤʤֻǤ礦

ΰܤο޷񤷤Ǥ

824ʶ 1:09:59 30557
Ȥ
#30537
ADFDFޤ֤CDFȤޤ
824ʶ 16:38:36 MAIL:k-sato@sansu.org 30558
⡼ޥ
#30544
Ūˤϡ
ABC梤DBE(2:1) 顢AD=DCޤDC=DE 顢DAE ϡľջѷ
ĤޤꡢDEA=45, ޤDEC=45롡顢AEC ľջѷ
D顢ECʿơAB ȸB' Ȥȡ
DB'=1 顢FDB'ᢤFEB ʤΤǡFE=FD
ɡAFD=AEC*(1/4)=3^2/2*(1/4)=3^2/2^3=9/8
䤳^^;
825ڡ 8:00:23 30559
ޥ
#30552
ȡDECEC򼴤ޤ֤롢ȤˡꤷƤޤ

ǼĤηϾԤ..m(__)m
iMac 825ڡ 23:59:29 MAIL:masaru-y@sansu.org HomePage:30560
2709
ʤפ֤ˤޤ

827ʷ 0:06:54 30561
2709
ϥߥǤߤޤ

侮ˤⱾ
򤱤Ȼפޤ
ºݻϾλˤΥȤ
ꥢ륿ȤƤޤ

ºݤǻμᤤ褦ʤΤǤ
827ʷ 0:11:29 30562
def
ޤơ
ξ򤪼ڤꤷƤߤޤ󡣤錄ȤǿʤΤǤ䤬ͤƤ(ؤǤ)⹻ϰϤǵޤΤذʾϰϤˤʤΤ
狼ޤ

xyz֤4A(1,1,0)B(-1,1,0)C(-1,-1,0)D(1,-1,0) 롣
PABCDμˤPθ˴ؤоQȤ롣
ʬPQդȤxyʿ̤˿ľ(ޤ)T롣
PABCDμT̲᤹ΰѤ衣
Tz0ʬˤȤ롣

ʤΤǤz=hڤäƷ׻򤷤ƤߤɤäƤؤϰ(arcsinʬ)ˤʤ褦ʤΤǤߤ42+4log(1+2)ˤʤ뤽Ǥ(ͥåȤǤνǤ)
827ʷ 14:31:11 30563
uchinyan
#30563
xyʿ̾Ǹ O P OP x ȤΤʤѤȤȤޤȡΩΤ 0 <= <= /4 ϰϤ 8 ܤǤ
Ȥʬ뤳Ȥͤޤ줬⹻ϰϤĶƤΤɤˤʬʤǤ
˾ܤɤʤΤǤ礦
ΩΤϡOP ޤ xyʿ ˿ľʿ̡ϦȤư˿ľڤȡ
OP = 1/cosȡ(z) 2 * OP = 2/cos Ĺˤʤޤ
ʬҤϡĹĤˤϤޤ줿ΤǡdȤϰϤ˽(z)򤫤ΩΤˤʤΤǡ
Ѥϡ1/2 * OP^2 * d * (2 * OP) = OP^3 * d = 1/(cos)^3 * d Ǥ
򡤦 0 /4 ʬΤΩΤ V 1/8 Ǥ
V/8 = [0 /4] 1/(cos)^3 d
ʬΤϡ⹻ϰϤǤǤΤǤϤʤΤǤ礦
x = sin Ȥȡdx/d = cosȡd/dx = 1/cosȡ(cos)^2 = 1 - (sin)^2 = 1 - x^2 ʤΤǡ
V/8 = [0 1/2] 1/(1 - x^2)^2 dx
1/(1 - x^2)^2 = 1/4 * {1/(1+x) + 1/(1-x) + 1/(1+x)^2 + 1/(1-x)^2} ʤΤǡ
V/8 = [0 1/2] 1/4 * {1/(1+x) + 1/(1-x) + 1/(1+x)^2 + 1/(1-x)^2} dx
V/2 = [0 1/2] {1/(1+x) + 1/(1-x) + 1/(1+x)^2 + 1/(1-x)^2} dx
= {log(1+x) - log(1-x) - 1/(1+x) + 1/(1-x)} [0 1/2]
= log(1 + 1/2) - log(1 - 1/2) - 1/(1 + 1/2) + 1/(1 - 1/2)
= log{(2 + 1)/(2 - 1)} - 2/(2 + 1) + 2/(2 - 1)
= log{(2 + 1)^2} + {- 2 * (2 - 1) + 2 * (2 + 1)}
= 2log(1 + 2) + 22
V = 42 + 4log(1 + 2)
ͥνȡ 827ʷ 17:48:03 MAIL:uchi@sco.bekkoame.ne.jp 30564
ޥ
ñǤ͡
827ʷ 20:57:52 30565
def
>30564ushinyan
꤬Ȥޤ˺ɸǤ͡ߤ˹⣲Ǥ
˿夲ˤΤǤPQгΤȤȸɤƲ򤤤ƤޤΥ
dȤϰϤ˽(z)򤫤ΩΤˤʤΤ
ǶϤǤʤǤ͡
827ʷ 21:40:39 30566
def
ɵǤ>30666ǸäΥDz򤯤Ȥ
zOP=ORȤʤRȤPx=1,0y1ư褦еѤϢOPR̤ѡ8
>dȤϰϤ˽(z)򤫤ΩΤˤʤΤǡ
ǹͤȻ(?)Ȥʤ롣ºݤζľŪƻѿʤΤʤΤ褯狼ޤ󤬡Ƿ׻ƵȤȤǤ
827ʷ 21:54:24 30567
def
>30564ushinyan
꤬Ȥޤ˺ɸǤ͡ߤ˹⣲Ǥ
˿夲ˤΤǤPQгΤȤȸɤƲ򤤤ƤޤΥ
dȤϰϤ˽(z)򤫤ΩΤˤʤΤ
ǶϤǤʤǤ͡
827ʷ 22:45:26 30568
粬ҹ
פ֤ޤʡˡϤŻΰˤϻ줬֤Ǥ͡ʸĿŪˤϲ򤱤ʤ¿ΤǤˢģţáᣳ
£â梤ģţ¡ģ£â梤ƣţ¡棱Ȥä
ܣݣ᣹ϲ򤭤䤹ƽޤʡ
Сӡޤˡ֥פɤǤ͡ʡˣ
827ʷ 23:20:15 30569

Ӥޤ䤬ɽƲƤΤ
褯狼ޤǤ
ޤm(_)M
ļˡ 828ʲС 5:59:37 30570
uchinyan
#30563#30566#30567¾
ʤۤɡ#30566#30567Τ褦ʾϡޤۤʤäƤޤ͡

ȡ#30563äơɤʤƤȤΤȤʤΤǤΤȻפޤ
z Ǥ arcsin ʬФƤȤΤȤǤΤǦȤǤʬͤޤz ǹͤƤ⤽Ϥʤʤ褦Ǥ

ޤΩΤϡP դ (1,0,0) A(1,1,0) Ȥˤ 8 ܤǤ
PQ ǤǤν(z)ĹϡP = A ΤȤ 22P = (1,0,0) ΤȤǾ 2 Ǥ
Ƨޤơz˿ľʿ̤ڤäƹͤޤ
0 <= z <= 2 ΤȤ
餫̤ 2 * 2 ǡ v1 v1 = 2 * 2 * 2 = 8 ˤʤޤ
2 <= z <= 22 ΤȤ
P A(1,1,0) (1,0,0) ϰϤǹͤơ 8 ܤޤ
̤ϡPAO ȹƱʻѷǤ
OP = z/2cos= 1/OP = 2/zOA = 2 ʤΤǡ
PAO = 1/2 * OP * OA * sin(45-) = 1/2 * z/2 * 2 * (1/2 * cos - 1/2 * sin)
= 1/2 - 1/2 * z/2 * (1 - (2/z)^2) = 1/2 - 1/4 * (z^2 - 4)
ǤϰϤ 1/8 v2 ϡ
v2/8 = [2 22]{1/2 - 1/4 * (z^2 - 4)}dz = (2 - 1) - 1/4 * [2 22] (z^2 - 4)}dz
ǡʬǤϡ꤮⹻ϰϤʡ
ĤˡޤޤΤʤȸǤִñˡǡ
I = (z^2 - 4)dz
ʬʬ
I = (z^2 - 4)dz = z * (z^2 - 4) - z^2/(z^2 - 4)dz = z * (z^2 - 4) - 4/(z^2 - 4)dz - I
I = 1/2 * {z * (z^2 - 4) - 4 * 1/(z^2 - 4)dz}
Ǹʬϡt = z + (z^2 - 4) Ȥȡdt/dz = 1 + z/(z^2 - 4) = t/(t-z), dz/dt = (t-z)/z ʤΤǡ
1/(z^2 - 4)dz = 1/(t-z) * (t-z)/t dt = 1/t dt = log(t) = log(z + (z^2 - 4))
ǡ
I = 1/2 * {z * (z^2 - 4) - 4 * log(z + (z^2 - 4))}

v2/8 = (2 - 1) - 1/4 * [1/2 * {z * (z^2 - 4) - 4 * log(z + (z^2 - 4))}][2 22]
= (2 - 1)
- 1/4 * [1/2 * {22 * (4) - 4 * log(22 + (4))} - 1/2 * {2 * (0) - 4 * log(2 + (0))}]
= (2 - 1) - 1/4 * {22 - 2 * log(22 + 2) + 2 * log(2)}
= 1/2 * 2 - 1 + 1/2 * log(2 + 1)
8 ܤ
v2 = 42 - 8 + 4log(2 + 1)
ʾꡤĤξ­ơ
V = v1 + v2 = 42 + 4log(2 + 1)
ˤʤޤ

z ǤäƤǤΤ顤Ǥ礦͡
ͥνȡ 828ʲС 11:30:24 MAIL:uchi@sco.bekkoame.ne.jp 30571
uchinyan
#30571
ʤۤɡ#30566#30567Τ褦ʾϡޤۤʤäƤޤ͡
Ƚ񤭤ޤ#30564˹ͤȡ(z)ȾʬǻѤɤǶ뤳ȤˤʤȻפΤǡñ 1/6 ФΤʡ
ͥνȡ 828ʲС 14:19:58 MAIL:uchi@sco.bekkoame.ne.jp 30572
def
Ȼϴ㤤ƤΤǤ礦
QO˴ؤP(1,t,0) (0t1)оPQʳ¾Zˤ롣ΰRzOR=OQ=OP=(1+t^2)ʤR(0,0,(1+t^2))Ȥ
ѤPOAޤưȤOPR̤ΰѤ16ܤǤ롣
ʬPRWȤ(٥ȥ򢪤ɽ)
OW=OP+kPR=(1,t,0)+k(-1,-t,(1+t^2)) (0k1,0t1)
z=hΤȤk(1+t^2)=hk=h/(1+t^2)0k=h/(1+t^2)10h(1+t^2)
ΤȤOW=(1-h/(1+t^2),t(1-h/(1+t^2)),h)
hꤵ0YXWxǰϤޤΰΰ褬̤Ǥ롣
Ȥz=hǤWx,yɸ򤽤줾X,YȤ롣
X=1-h/(1+t^2),Y=t(1-h/(1-t^2))
Ԥ(1+t^2)(1-X)^2=h^2,X=1ΤȤh=0X1ΤȤ0X1*t=(h^2-(1-X)^2/(1-X)
*t¸߾h^2-(1-X)^201-hX1
Y=tX=X(h^2-(1-X)^2/(1-X)
{0YX 0X<1}
,ΰ褬WưΰǤ롣
Y=XΤȤt=1椨Y=X=1-h/2
(i)0h1ΤȤ1-hX1-h/2
(ii)1h2ΤȤ0X1-h/2

(i)ΤȤWX˰ϤޤΰѤSȤ
S=[1-h,1-h/2]YdX
1-X=XǤȤִ-dX=dX, X h h/2
S=[h/2 ,h] (1-X)(h^2-X^2)/X dX =[h/2 ,h](1-X^2)/X - (h^2-X^2) dX
ʲ׻³hʬȤsin=(h^2-1)/hȤȤhʬब줿ΤǤ

롼ȤʬäѤΤtexǤޤȤƤߤޤ
828ʲС 16:50:25 30573
def

ѤP(1,0,0)A(1,1,0)ޤưȤ
828ʲС 17:05:37 30574
uchinyan
#30573
󡤲Ū˰ä򤫤Ƥ褦ʵޤ
ϡ#30563ǤϤʤ#30566#30567ˤ̤ͤƤ롤ȻפäƤΤǤ礦
ʤС⾯ͤƤߤޤz ʬ arcsin arccos ФȤΤʬޤ
Ȥ⡤#30563ȡ#30566#30567ƱȤͤǤ礦
ϰ㤦Ȼפޤ
äˡ
QO˴ؤP(1,t,0) (0t1)оPQʳ¾Zˤ롣
Ȥ
ѤP(1,0,0)A(1,1,0)ޤưȤOPR̤ΰѤ16ܤǤ롣
ȤɤƤʤΤ褯ʬʤǤ
ͥνȡ 828ʲС 21:21:03 MAIL:uchi@sco.bekkoame.ne.jp 30575
def
ϤѤʤɼ䤷äPQԤгˤʤȤȤ>30563ȤϰäΤȤˤʤޤ
䤽Ȥ⡤#30563ȡ#30566#30567ƱȤͤǤ礦
Ϥ30563PQդȤʤгȤʤǤϤޤä̤ˤʤޤ͡ޤ
828ʲС 22:44:22 30576
def
>äˡ
QO˴ؤP(1,t,0) (0t1)оPQʳ¾
Zˤ롣
Ȥ
ѤP(1,0,0)A(1,1,0)ޤưȤOPR̤ΰѤ16ܤǤ롣
ȤɤƤʤΤ褯ʬʤǤ

>uhinyan
᡼źդDzޤ
828ʲС 23:18:14 30577
uchinyan
#30576#30577
λǤ᡼ϸǸޤ͡

ɡۤʤǤʤС#30575ǽ񤤤褦ˡz Ǥʬ arcsin arccos ФƤΤȻפޤ
ΰ̣Ǥϡ⹻ϰϤĶƤȻפޤ

#30572ǽ񤤤褦ˡ
#30564˹ͤȡ(z)ȾʬλѤɤǶ뤳Ȥˤʤꡤǽñ 1/6 ܤФ褦Ǥ
ϡ꤮⹻ϰϤʤȤͤǤ㴳ޤ⤷ޤ
긷̩ˤϡإ٥ˤʤäƤޤޤɸ¿ʬˤΰʬʤɤζȤȤСƱˤʤ褦Ǥ
ͥνȡ 829ʿ 7:43:29 MAIL:uchi@sco.bekkoame.ne.jp 30578
def
>30578 uchinyan
xyʿ̤ι⤵1ʲΤȤPQTгȤʤϹ⹻ϰȤȤǤ͡
http://www.kent-web.com/pubc/book/test/uploader/uploader.cgi?mode=downld&no=237

1z=h2ΤȤ[12]h^2arccos(1/h)dh򤱤ʤ褦ʤΤ
829ʿ 13:53:22 30579
uchinyan
#30579
ܤ׻꤬Ȥޤ
(i)ϻη׻ƱǤ(ii) = arccos(1/h) ФΤƱǤΤȤƾ㤦褦Ǥ
S' h = 1 Ϣ³ˤʤäƤޤ餫ˤǤʬϰϤʤʤ
ͥνȡ 829ʿ 21:55:04 MAIL:uchi@sco.bekkoame.ne.jp 30580
uchinyan
#30578#30579#30580
#30580ǻŦܤ
0 <= z <= 1, S' = 1/2 - z * log(2 + 1) + /8 * z^2
1 <= z <= 2, S' = 1/2 - 1/2 * (z^2 - 1) - z * log(2 + 1) + z * log(z + (z^2 - 1)) + /8 * z^2 - 1/2 * z^2 * arccos(1/z)
Ȥäơz ʬ z >= 0 ϰϡdef Ⱦʬʡǡ㥴äƤߤޤ
arccos ʬʬʬ򤦤ޤȤȡꥮ⹻ϰϤʡȤǤ褦Ǥ
̤ϡ(22 + 2log(1 + 2))/3 ˤʤޤ
Ϥꡤǽ#3056342 + 4log(1 + 2) 1/6 ܤΤ褦Ǥ
ͥνȡ 829ʿ 23:41:29 MAIL:uchi@sco.bekkoame.ne.jp 30581