ʤʤ򤤤Ǥ
730ڡ 0:07:01 34842

ʤʤ򤫤äǤ
730ڡ 0:08:00 34843
錄
Ϥƿ޷꤬򤱤줷
730ڡ 0:11:22 34844

أСأѡأҡأӤʿԤľ£äȤθġšơǤȤȡ
ܣأУܢܣأѣܢܣأңܢܣأӣܢܣأԣ
ܣУġܢܣѣšܢܣңơܢܣӣǡܢܣԣ
ܣң
67.5
Ȳ򤭤ޤ
äȤˡФȦǤФʤǤ
730ڡ 0:14:39 34845
Taro
657Ⱥʤ󤫻Ƥޤ
ˤPC 730ڡ 0:17:08 34846

#34846
ʤۤɡ
730ڡ 0:17:55 34847

#34846
657äƺǤϡ
730ڡ 0:20:29 34848
ߤ
ޤ󤻽᤿餭줤ʿǽФϤȳοƣ٤ϥ졣
ޤ㤴㤷ʬʤʤäΤǡɥä㤤ޤġ
730ڡ 0:21:33 34849

#34848
"657"67.5٤Τȡ
ŷϿ͡ 730ڡ 0:22:14 34850

#34850
Ǥ
730ڡ 0:24:00 34851

ˤϤɤ
ʣ
http://www.e-kyozai.jp/cgi-bin/mimetex/mimetex.cgi?x-by=y-ax=bx+ay=1
ΤȤ
http://www.e-kyozai.jp/cgi-bin/mimetex/mimetex.cgi?a^2+b^2+ab+a+b=1
ΩĤȤ衣

ʣ
http://www.e-kyozai.jp/cgi-bin/mimetex/mimetex.cgi?-2\sin^2\theta\cos^2\theta+5\sin\theta\cos^2\theta-6\sin^2\theta+12\sin\theta-6\geq0
thetaͤϰϤ衣âtheta㣲ФȤ롣Ω̿

ʣ
Ĥʪ
http://www.e-kyozai.jp/cgi-bin/mimetex/mimetex.cgi?y=2\sqrt{3}(x-\cos\theta)^2+\sin\theta
http://www.e-kyozai.jp/cgi-bin/mimetex/mimetex.cgi?y=-2\sqrt{3}(x+\cos\theta)^2-\sin\theta
ۤʤ룲Ǹ褦ʰ̳thetaϰϤ衣

ǸޤŽդƤ
730ڡ 0:46:04 34852
Ƭλ
XT//ACǡBXT135
XTBܢXSBܢXRBܢXQBܢXPB(1805135)2382.5
ATBܢASBܢARBܢAQBܢAPB(1806135)222.5450
450382.567.5

֡̿ȤƤʬϼ餷ʤäorz
730ڡ 1:04:49 34853
ߡ
ؤȺоΤ٤ͤơ٣Ф٣Ԥޤǣܰޤ
أ١£СУѡѣҡңӡӣԡԣäꡤŪγѤΣܤϤ褦˳ѣ£أԤ135ࣲ67.5ȡ

ʤ󤫺оΤäݤ(ڥˤƹͤ)ʤȡ
730ڡ 2:32:54 34854

AXPAXQAXRAXSAXTγ٤ιפ900
ĤνʳιפϿޤ832.5
äƿĤνιפ67.5
730ڡ 2:41:13 34855
Ȥ
츫񤷤ޤ褯ƤȤʤȤ鸫ݤΰȻפޤ

XTA+XSA+XRA+XQA+XPA=
180-(135*5/6+45)+180-(135*4/6+45+135/5)+180-(135*3/6+45+135*2/5)+180-(135*2/6+45+135*3/5)+180-(135/6+45+135*4/5)=67.5()

˭ԡ 730ڡ 8:47:54 MAIL:fttnm528@ybb.ne.jp 34856
⡼ޥ
ø...^^;
3ʬ䤷Τ1/3餷Ȥ...
θǾΤǤƤ...
礭ƱΤǤǤ٤Τ礦ȾʬˤʤäƤΤ...
䤷ޤ...^^;v
ʾʬλƱͤˤǤ뤫ɤ...ͤƤߤޤ...Orz...
730ڡ 8:55:58 34857
abcba@jugglermoka
6ʬNʬˡAX:XB=1:N-1ˤƤ̤ϢBACȾʬˤʤ롣
730ڡ 9:29:31 34858
Ȥ
#34858
>6ʬNʬˡAX:XB=1:N-1ˤƤ̤ϢBACȾʬˤʤ롣
ʬǤ⤿Ƥߤޤ

BAC=aȤ
#34856
>180-(135*5/6+45)+180-(135*4/6+45+135/5)+180-(135*3/6+45+135*2/5)+180-(135*2/6+45+135*3/5)+180-(135/6+45+135*4/5)
ʲΤ褦ˤ

180-(a*(n-1)/n+180-a)+180-(a*(n-2)/n+180-a+a*(n-5)/(n-1))+180-(a*(n-3)/n+180-a+a*(n-4)/(n-1))+180-(a*(n-4)/n+180-a+a*(n-3)/(n-1))+180-(a(n-5)/n+180-a+a*(n-2)/(n-1))
=-a*(n-1)/n-a*(n-2)/n-a*(n-3)/n-a*(n-4)/n-a*(n-5)/n-a*(n-5)/(n-1)-a*(n-4)/(n-1)-a*(n-3)/(n-1)-a*(n-2)/(n-1)+a*(n-1)
=-a*((n-1)+(n-2)+(n-3)+(n-4)+(n-5))/n-a*((n-5)+(n-4)+(n-3)+(n-2))/(n-1)+a*(n-1)(1)
=-a*((n-1)/2+(n-2)/2)+a*(n-1)
=-a*((n-1)/2+(n-2)/2-n+1)
=-a*(-1/2)=a/2()

(1)ˤ
sum((n-i)/n,i,1,n-1),simpsum;(n-1)/2
sum((n-i)/(n-1),i,2,n-1),simpsum;(n-2)/2Ȥޤ
˭ԡ 730ڡ 11:48:45 MAIL:fttnm528@ybb.ne.jp 34859
uchinyan
Ϥˤϡơϡ
츫Ȥϡֲ㤳ϡפȤǤͤƤߤФۤ񤷤ϤޤǤ
ˡˤޤ®򤯤󥹤줽Ǥ͡
괺פĤˡ򻰤Ĥۤɡ

ޤȤơ
AXXB = 15 = CTTB XT//AC ǡBXT BAC
BXT = BAC = 135롤ABC = ACB = XBT = XTB = 45/2 = 22.5
դƤޤ

(ˡ1)
ѷγѤδطȤޤ
XPA = BXP - BAPXQA = BXQ - BAQXRA = BXR - BAR
XSA = BXS - BASXTA = BXT - BAT ʤΤǡ
= XPA + XQA + XRA + XSA + XTA
= (BXP + BXQ + BXR + BXS + BXT) - (BAP + BAQ + BAR + BAS + BAT)
ǡоꡤ
BAP = CATBAQ = CASBAR = CAR = BAC/2 = 67.5롤BAP + BAT = BAQ + BAS = BAC = 135
BXP = TXSBXQ = TXRBXP + BXS = BXQ + BXR = BXT = 135
ʤΤǡ
= (135 + 135 + 135) - (135 + 135 + 67.5) = 135 - 67.5 = 67.5

(ˡ2)
BC ܤޤ
XPA = 180 - XPB - APCXQA = 180 - XQB - AQCXRA = 180 - XRB - ARC
XSA = 180 - XSB - ASPXTA = 180 - XTB - ATC ʤΤǡ
= XPA + XQA + XRA + XSA + XTA
= 180 * 5 - (APC + AQC + ARC + ASC + ATC + XPB + XQB + XRB + XSB + XTB)
ǡоꡤ
APC = ATBAQC = ASBARC = ARB = 90롤APC + ATC = AQC + ASC = 180
XPB = XSTXQB = XRTXPB + XSB = XQB + XRB = XTB = 180롤XTB = 22.5
ʤΤǡ
= 180 * 5 - (180 + 180 + 90) - (180 + 180 + 22.5) = 90 - 22.5 = 67.5

(ˡ3)
ХХγ٤Ĥĺ A ˽Ƥߤޤ
A XPXQXRXS ʿԤ BC Ȥθ DEFG Ȥޤ
ȡXPA = PADXQA = QAEXRA = RAFXSA = SAGXTA = TAC ʤΤǡ
= XPA + XQA + XRA + XSA + XTA
= PAD * QAE + RAF + SAG + TAC
ǡ
BXXA = BPPD = BQQE = BRRF = BSSG = 51 ꡤDEFG BC ʬˤʤޤ
ǡоꡤBAP = TACPAD = GATDAQ = SAGQAE = FASEAR = RAF
­ BAC ˤʤΤǡ
= BAC/2 = 135/2 = 67.5
ͥνȡ 730ڡ 12:16:19 MAIL:uchi@sco.bekkoame.ne.jp 34860
uchinyan
ǼĤɤߤޤ

#34845#34860(ˡ3)
A XPXQXRXS ʿԤ٤ A ˽ᡤоѤƲ򤯲ˡ

#34853
XPA = APB - XPB ʤɤȡоȤ׻ˡ

#34854#34873
X ȺоΤ Y ͤ YP YT ޤǣܰƹͤˡ
θɤ뤫ǤʿԻշоȤäƳѤ X ˽ƤȡΤˡ
#34854
ŪγѤΣܤϤ褦˳ѣ£أԤ
Ȥʤޤ͡
#34873 Y ˳Ѥ򽸤Ƥޤ¼#34854ƱȻפޤ

#34855#34872
AXPAXQAXRAXSAXTγ٤ιפ顤ĤνʳιפȤˡ

#34856 (¿ʬ#34859)
ࡤ褯ʬ餺
̤ϹäƤ褦Ǥϡ̤ʬȸʬƱƤ褦ʡäѤʴ
θ塤Ϥꤪä褦Ǥ#34867

#34857
ࡤ褯ʬ餺
3ʬ䤷Τ1/3餷Ȥ...
BC 9 ʬ䤹Τʡ
䤽θǾΤǤƤ...
־ΡפäƲXBTʤ顤礭Ρפ ABC ʡ
礭ƱΤǤǤ٤Τ礦ȾʬˤʤäƤΤ...
礭ƱΤǤǤ١פäƲ
ˤ衤ɤơȾʬפˤʤΤ⤦ߤǤ
θ塤ɲäޤ#34868#34869

#34860(ˡ1)
ѷγѤδطоȤˡ
#34855ˡȻפޤ

#34860(ˡ2)
BC 180뤫;ʬʤΤоȤˡ
#34853ˡȻפޤ

ʤ

#34858
亣6ʬNʬˡAX:XB=1:N-1ˤƤ̤ϢBACȾʬˤʤ롣
ϤۤȤ餫Ǥ줤ʷ̤ʡȻפޤ
ͥνȡ 731ʶ 10:51:22 MAIL:uchi@sco.bekkoame.ne.jp 34861
Ȥ
#34861
>ϡ̤ʬȸʬƱƤ褦
ϤꤹΤ狼ʤˡ򥫥Ƥߤޤ
AXT,AXS, AXR, AXQ, AXPλѷ줾Ѥ¤180٤ΤȤβˡǤ

AXT,AXS, AXR, AXQ, AXPλѷ줾Ѥ¤180٤ΤȤ
XTA+XSA+XRA+XQA+XPA
=(180-XAT-TXA)+(180-XAS-TAX)+(180-XAR-RXA)+(180-XAQ-QXA)+(180-XAP-PXA)
=(180-(XAP+PAQ+QAR+RAS+SAT)-TXA)+(180-(XAP+PAQ+QAR+RAS)-(TXA+SXT))
+(180-(XAP+PAQ+QAR)-(TXA+SXT+RXS))+(180-(XAP+PAQ)-(TXA+SXT+RXS+QXR))
+(180-XAP-(TXA+SXT+RXS+QXR+PXQ))
=180-(135*5/6+45)+180-(135*4/6+45+135/5)+180-(135*3/6+45+135*2/5)+180-(135*2/6+45+135*3/5)+180-(135/6+45+135*4/5)=67.5()
˭ԡ 730ڡ 14:42:21 MAIL:fttnm528@ybb.ne.jp 34862
uchinyan
#34862
=(180-(XAP+PAQ+QAR+RAS+SAT)-TXA)+(180-(XAP+PAQ+QAR+RAS)-(TXA+SXT))
+(180-(XAP+PAQ+QAR)-(TXA+SXT+RXS))+(180-(XAP+PAQ)-(TXA+SXT+RXS+QXR))
+(180-XAP-(TXA+SXT+RXS+QXR+PXQ))
=180-(135*5/6+45)+180-(135*4/6+45+135/5)+180-(135*3/6+45+135*2/5)+180-(135*2/6+45+135*3/5)+180-(135/6+45+135*4/5)=67.5
ˤơ
XAP + PAQ + QAR + RAS + SAT = 135 * 5/6 ʤ
ȤƤ褦˸ޤǤ礦ȤȡǤ礦
߸̤ΣʬʤʬޤʬΣʬʤΤǡΤǤϡ
¿ʬΤȤƤо껦ƤޤäƤΤȻפޤ
㤤Ƥ餴ʤ
ͥνȡ 730ڡ 15:06:00 MAIL:uchi@sco.bekkoame.ne.jp 34863
Ȥ
#34863
>߸̤ΣʬʤʬޤʬΣʬʤΤǡΤǤϡ
>¿ʬΤȤƤо껦ƤޤäƤΤȻפޤ

ջѷѤǤʤĺѤդʬ˿
ĺѤʬ򷫤֤ФʤȻפޤ
˭ԡ 730ڡ 15:12:51 MAIL:fttnm528@ybb.ne.jp 34864
uchinyan
#34864
ջѷѤǤʤĺѤդʬ˿
ĺѤʬ򷫤֤ФʤȻפޤ
֤ΤջѷǤϤʤΤǤϡ
ͥνȡ 730ڡ 15:33:36 MAIL:uchi@sco.bekkoame.ne.jp 34865
ϥ饮㡼ƥ
ݤ褦ݤʤä
٤ΰưФ󥻥뤵Ʒ
3*<BXT-270-135/2
ȤʤäϻѴؿȤʤä

߽Ǥ椬Ȥˤﳲʤäͤ񤤿ޤ
730ڡ 15:37:57 HomePage:湩ؤ˥34866
Ȥ
#34865
>>ջѷѤǤʤĺѤդʬ˿
>>ĺѤʬ򷫤֤ФʤȻפޤ

ޤʤޤǤ
֤ƤQAR=SAR,BAP=TAC,PAQ=TAS
ʤ餺Ϥ
#34863
>߸̤ΣʬʤʬޤʬΣʬʤΤǡΤǤϡ
ϤäȤȤ狼ޤ
鼫ʬβˡ򤪤ʤ褦˽񤭴褦Ȼפޤ
˭ԡ 730ڡ 16:04:24 MAIL:fttnm528@ybb.ne.jp 34867
⡼ޥ
#34857
ȾüäΤ...ͤƤߤޤ^^;
ѷABC򺸤TCʬ餷Τ򻰳ѷA'B'P Ȥ롣
A'P AB Ȥθ X ˤʤ롣
ѷABCȻѷA'B'P ˤơA,A',X դ6ʬȤ򤽤줾֤ȡо顢ܤ¤ϢA'(ʬ)A¤ȾʬȤ狼롣
A,A'ʬȤʬܤ򺸤顢a1,a2,a3,a4,a5,a6 Ȥȡ
٤
=135-(a1+a2+a3+a4+a5)
+135-(a6+a1+a2+a3+a4)
+135-(a5+a6+a1+a2+a3)
+135-(a4+a5+a6+a1+a2)
+135-(a3+a4+a5+a6+a1)
=135-(a2+a3+a4+a5+a6)
=135*6-5(a1+a2+a3+a4+a5+a6)
=135

̤ͤǤޤ......䤳äǤ...^^; Orz...
730ڡ 16:37:03 34868
uchinyan
#34868
򤢤꤬Ȥޤ

仰ѷABC򺸤TCʬ餷Τ򻰳ѷA'B'P Ȥ롣
A'P AB Ȥθ X ˤʤ롣
P T Ǥ͡¿ʬ
仰ѷABCȻѷA'B'P ˤơA,A',X դ6ʬȤ򤽤줾֤ȡ
о顢ܤ¤ϢA'(ʬ)A¤ȾʬȤ狼롣
ϡ
A'TA + A'SA + A'RA + A'QA + A'PA + A'BA = * 2
ȤȤǤ͡
A,A'ʬȤʬܤ򺸤顢a1,a2,a3,a4,a5,a6 Ȥȡ
֢A,A'פϡ֢BACB'A'TפǤ͡¿ʬ
ǡa1 + a2 + a3 + a4 + a5 + a6 = BAC = B'A'T = 135ȤʤäƤ櫓Ǥ͡
٤
= A'TA + A'SA + A'RA + A'QA + A'PA + A'BA
= (A'XA - XAT) + (A'XA - XA'S - XAS) + (A'XA - XA'R - XAR)
+ (A'XA - XA'Q - XAQ) + (A'XA - XA'P - XAP) + (A'XA - XA'B)
A'XA = BAC = B'AT = 135ʤΤǡ
=135-(a1+a2+a3+a4+a5)
+135-(a6+a1+a2+a3+a4)
+135-(a5+a6+a1+a2+a3)
+135-(a4+a5+a6+a1+a2)
+135-(a3+a4+a5+a6+a1)
=135-(a2+a3+a4+a5+a6)
=פϡ+פν񤭴ְ㤤¿ʬ
=135*6-5(a1+a2+a3+a4+a5+a6)
= 135 * 6 - 135 * 5
=135
ǡ
= 135/2 = 67.5
Ǥ礦

̤ͤǤޤ......䤳äǤ...^^; Orz...
򤤲ˡȻפޤ
ͥνȡ 731ʶ 12:19:24 MAIL:uchi@sco.bekkoame.ne.jp 34869
⡼ޥ
#34869
uchinyan...^^;
ְ㤤餱ǤޤǤ...Orz...
Ǥ...狼äƤƴ򤷤Ǥ
730ڡ 18:34:18 34870
Mr.ǥ
ǼĤɤȤβˡuchinyan#34860ΡʲˡˤޤäƱǤ
ѤνŤʤ礦Ȥ¿о˵ŤΤ˻֤äƤޤޤ
ʤ#34853Ʊ褦ʤΤǤפƤǤ͡
730ڡ 21:05:19 34871
Ȥ
#34867
>鼫ʬβˡ򤪤ʤ褦˽񤭴褦Ȼפޤ
񤭴ޤ
>QAR=SAR,BAP=TAC,PAQ=TAS

BXP=TXS,PXQ=SXR
Ȥ
#34863
>>=(180-(XAP+PAQ+QAR+RAS+SAT)-TXA)+(180-(XAP+PAQ+QAR+RAS)-(TXA+SXT))
>>+(180-(XAP+PAQ+QAR)-(TXA+SXT+RXS))+(180-(XAP+PAQ)-(TXA+SXT+RXS+QXR))
>>+(180-XAP-(TXA+SXT+RXS+QXR+PXQ))

AXT,AXS, AXR, AXQ, AXPλѷ줾Ѥ¤180٤ΤȤ
XTA+XSA+XRA+XQA+XPA
=(180-XAT-TXA)+(180-XAS-TAX)+(180-XAR-RXA)+(180-XAQ-QXA)+(180-XAP-PXA)
=(180-(XAP+PAQ+QAR+RAS+SAT)-TXA)+(180-(XAP+PAQ+QAR+RAS)-(TXA+SXT))
+(180-(XAP+PAQ+QAR)-(TXA+SXT+RXS))+(180-(XAP+PAQ)-(TXA+SXT+RXS+QXR))
+(180-XAP-(TXA+SXT+RXS+QXR+PXQ))
=180*5-(XAP+PAQ+QAR+RAS+SAT+XAP+PAQ+QAR+RAS+XAP+PAQ+QAR+XAP+PAQ+XAP)
-(TXA+TXA+SXT+TXA+SXT+RXS+TXA+SXT+RXS+QXR+TXA+SXT+RXS+QXR+PXQ)(ǢXAP+PAQ+QAR=135/2,TXA=45)
=180*5-(135/2+RAS+SAT+135/2+RAS+135/2+XAP+PAQ+XAP)-(5*45+SXT+SXT+RXS+SXT+RXS+QXR+SXT+RXS+QXR+PXQ)
=180*5-(135*3/2+RAS+SAT+RAS+XAP+PAQ+XAP)-(5*45+SXT+SXT+RXS+SXT+RXS+QXR+SXT+RXS+QXR+PXQ)
=180*5-(135*3/2+(SAT+RAS+XAP)+(RAS+XAP+PAQ))-(5*45+(SXT+SXT+RXS+QXR+PXQ)+(SXT+RXS+SXT+RXS+QXR))
=180*5-135*3/2-135/2-135/2-5*45-135-135=67.5()

ǤʤʤäȻפޤ
˭ԡ 731ʶ 0:31:46 MAIL:fttnm528@ybb.ne.jp 34872
Shin Koba
xȿ¦AC򣱡ʬˤYȤơXTAAPYˡXSAAQY˰ưYQYRYS򤽤줾٤СXPQYϤȤʿԻշXQRYXRSYΣĤλͳѷʿԻշȤʤꡢۤɽ᤿2ȤγѤ¦ĺYˤ˰ưXRYRYS˰ܤƤʬȡѷYPCĺY򲼤Ȥˤʤ롣礵ѤϷŪĺ135٤ʬƤ뤫顢67.5١Ȥ˹ͤƤޤƱΤȤä˵ܤƤޤ顢ߤޤ
731ʶ 8:48:14 34873
uchinyan
#34872
ܤ꤬ȤޤʤʤǤ͡
ʤβˡϡ#34855ƱȻפޤ
ͥνȡ 731ʶ 9:14:14 MAIL:uchi@sco.bekkoame.ne.jp 34874
X
ʤ󤫽οͤμλؤߤǤ͡޷ȤǤ
731ʶ 23:29:06 34875