taku
ѥɤ84/5ޤ󡩡
16.8ޤ
1013ڡ 0:14:39 MAIL:takuo@kcv.ne.jp 25953
taku
ˤ
̵3:4:5λѷȯǤޤ
1013ڡ 0:16:37 MAIL:takuo@kcv.ne.jp 25954
ҡΤ
takuͤƱʾС
9ߤ濴 1013ڡ 0:17:25 HomePage:25955
ޥ
𤷤ޤѥɤηǤ򤪤ޤۤޤ

;Dz򤯿ͤ¿ʤȤפäƤΤǤ...Ǥʤ
PowerBook G4 1013ڡ 0:23:36 MAIL:masaru-y@sansu.org HomePage:25956
Shin Koba
񤭹ߤ򤵤ƤȤϢɤɾĺ㤷ޤϡʬ򺸾˱ĹѷţģäȣУˤʤ뻰ѷȡջѷգգˤǤ뤳Ȥ顢ĺդ˿򲼤ơ구⤵ᡢѤФơǸ棵Уꡢ16.8Ƴޤޤ¾βˡ򸫤ƤΤڤߤˤƤޤ
1013ڡ 0:25:47 MAIL:sinnginngasong@ybb.ne.jp 25957
ҡΤ
ʤߤ˻ϢEDCD򼴤ˤ180ٱ˲žˤޤ
9ߤ濴 1013ڡ 0:37:15 HomePage:25958
ߤ
ãģŤĤ濴ˣٲž£ģšǤäƤäĤޤ
¤ȣšǣŤαĹƤȤơäȣ£šǤʿԤʤΤ
ơᣱƣšᣱФޤ
Ȣ£šǣƤϣդ,,ȤʤꡢǤľѻѷ
ФƤޤ颤ţƤڤȤФޤ
1013ڡ 0:39:08 25959
Shin Koba
ߤޤĴҤ˾äƤ餷򡢻구Ƚ񤤤Ƥޤޤ򤫤
1013ڡ 0:43:12 MAIL:sinnginngasong@ybb.ne.jp 25960
㡼ߡ
;פĤޤǤġ
ܹ衡 1013ڡ 1:10:26 MAIL:ojamaru@amber.plala.or.jp 25961
⡼ޥ
ϲ򤱤
D顢AB,ACʿȡդ2.5cm ΤҤǤ롣ΤҤΰĤгĹ3cm顢⤦Ĥгϡ4cmȤʤꡢҤѤϡ3x4/2=6
D2ľǤǤѤϡ3.5/2.5ܡ
ɵѤϡ6x(35/25)x2=16.8 cm^2
Ҥ˵ŤᤫäǤå
1013ڡ 2:57:38 MAIL:kennji72001@yahoo.co.jp 25962
n
CA˱ĹAB=AFʤȤAF=AB=5
δطBF=6.ABF3:4:5λѷ2ĤϤĤΤǢABF=12
FA:AC=ABF:ABC5:7=12:ABC
袤ABC=84/5
󡦡
1013ڡ 6:44:46 25963

#25963AB=AF=6
1013ڡ 6:45:37 25964

#25694ϤʤäȤˡ
1013ڡ 6:47:37 25965
kasama
Ϥ褦ޤ
CADƱ褦ʿޤƤޤ⤦ؤǤʤȥᤫʤȻפޤޤʤȤ(^_^;
1013ڡ 9:49:12 25966
ark
23:55ޤǵƤΤorz
ˡn߻ƱǤ

ϴΤϽ뤤Ȥ̯ʵΤΤ˺äƤ뺣κǤա
1013ڡ 9:56:44 25967
Toru Fukatsu
μϤɤƤ٥ȥͶǤ˾Ƥޤ󡣥٥ȥAB=b ٥ȥAC=c Ȥȡ|٥ȥED|=|(7b+5c)/14|=3 (b,c)=-49/5
ABC=sqrt(|b|^2 |c|^2-(b,c)^2)/2=84/5 Ϥθˤˡפդޤ
1013ڡ 10:35:57 MAIL:tfukatsu@tth-japanpost.jp 25968
ϥ饮㡼ƥ
MathematicaDz򤱤βĤΤ
˲᤮ʤޤäꤷƤʤ

MathematicaΥץߥǤ֤
׻ϤǤʤȻפ

̶彣 1013ڡ 12:14:39 HomePage:ĩ25969
uchinyan
ϤˤϡϡŪñǤ ^^/
ʲˡꤽǤɤʤƱȻפޤBD = CD ܤޤ
D 濴 EDC ײ˲ž CD BD ˽Ťʤ褦ˤޤE ΰư F Ȥޤ
FDE = FDB + BDE = EDC + BDE = BDC = 180 ʤΤǡE, D, F Ʊľˤꡢ
BFE + AEF = CED + AED = AEC = 180 ʤΤǡAE//BF Ǥ
ĤޤꡢABFE ǤΤȤAB = 5cmAE = 1cmEF = ED + DF = 2 * ED = 6cmBF = CE = 6cm Ǥ
ޤ ABC Ѥϡ餫ˡABFE ƱǤ
ˡBAFE αĹθ P Ȥޤ
AE//BF ꡢPAE PBF ǤǡPA/PB = PE/PF = AE/BF = 1/6 ǡPB = PA + AB = PA + 5PF = PE + EF = PE + 6 ꡢ
PA = 1cmPE = 6/5 cm ʬޤ
Ǥ餿 BFP (PBF)AEP (PAE) ˤĤơĤ 61 ǡBP = BF = 6cmAP = AE = 1cm ջѷǤ
ǡABC = ABFE = BFP - AEP = 36 * AEP - AEP = 35 * AEP ˤʤޤ
äơAEP ˤĤƹͤޤ
A EP ˿򲼤­ H ȤȡAE = 1cmEH = 1/2 * EP = 3/5 cm ʤΤǡAEH ϡ345 ľѻѷǤ
äơAH = 4/5 cm ˤʤꡢAEP = 1/2 * EP * AH = 1/2 * 6/5 * 4/5 = 12/25 cm^2 Ǥ
ǡABC = ABFE = 35 * AEP = 35 * 12/25 = 84/5 cm^2 ˤʤޤ
ͥνȡ 1013ڡ 11:21:16 MAIL:uchi@sco.bekkoame.ne.jp 25970
ͣ򡥥ɥɥɥ
ͤβϡ£äĤ򸫤ơϢפϢۤޤäƤ֤ȡƣĤϡ¤Ⱦʬˡơƣäϡˤʤ뤫顢ţƤ⣲ˤʤޤդĹäѷţƣĤѤϡإθ飳ȵޤޤ˻ѷƣģäѤϡţơƣä飳ᣴȵޤޤǸ˻ѷ£äѤϡѷƣģäѤΣܤ顢ᣱȤȤޤޤ
ͤΤ褦ʲοͤޤǤ礦
1013ڡ 11:38:39 MAIL:qqmz48pc9@alpha.ocn.ne.jp 25971
ͪ
äƤȤȢģţƤϣģơţơᣲΣջѷ
ƤţĤ˿ƣǤȣģǡţǡᣱ
ʿƣǡᣲ
ܣţģȡ90Ȥʤþ˼ȢţģȤ
ţġᣳģȡᣴţȡᣵľѻѷʤΤǢţģȡ᣶cm^2
Ĥä˿ģɤѤģɡᣲ
á᣷ģɡᣲꢤģá᣸cm^2
äƢ£áᣲģáᣱcm^2

꤯ɤˡä⡣
1013ڡ 12:46:37 25972
uchinyan
ǼĤ򤶤äɤߤޤϤꡢʲˡ褦򤤤Ǥ
ΤȤϡڡθ޼Ǥ礦
D β EDC žˡ
CA A ˱ĹơϢꡢ5, 5, 6 ջѷˡ
ED βˡҤľѻѷˡ
٥ȥȤˡ
Ѵؿ;Ȥˡ
3ܤˤϥХꥨ󤬤褦ǤǸĤߤޤ͡
ĿŪʴۤǤȤƤϡ2ܤ֥åꡢ1ܤʤȻפޤ (^^;
Ǥ⡢षϡ٥ȥαȤ򤤤ʤȤפޤ
ޤޤ̲(嵭ΥХꥨޤ)뤫ʡ
ͥνȡ 1013ڡ 13:35:54 MAIL:uchi@sco.bekkoame.ne.jp 25973
uchinyan
#25973νΤǤʤ

䡦ED βˡҤľѻѷˡ
ϡ
AC ȤäơED βˡҤջѷʤɤˡ
˽ޤߤ ^^;
ͥνȡ 1013ڡ 13:42:53 MAIL:uchi@sco.bekkoame.ne.jp 25974
ޥ
#25973
Ǥ͡ϤʬμȤζȤ

ϢΤȤ棱
;ΤȤ棲
٥ȥΤȤ棳

ȣȤ󤹤ĤǤ(^^;;
PowerBook G4 1013ڡ 14:52:32 MAIL:masaru-y@sansu.org HomePage:25975
Ȥ
ƴǿޤ򸫤5*7/2=17.5礭ϤʤΤ16.8ǶäǤѤإθAE=1,ED=3̵뤷BCĹ
路SQRTʤΤǤץߥ󥰤ǤϤ
Ϥ줿ΤȤޤɸ֤ȤäƤޤ
˥ΤϾ2ĤȤϰ㤤ȤإθǤ
褺դοޤBD=CD=dȤƢEBDȤ
solve(EB^2+36=2*(9+a^2),d);EB:SQRT(2)*SQRT(d^2-9)$
ѤδطEBC*7/6=ABC
(%i1) a1:3$
(%i2) b1:d$
(%i3) c1:SQRT(2)*SQRT(d^2-9)$
(%i4) expand((a1+b1+c1)*(b1+c1-a1)*(c1+a1-b1)*(a1+b1-c1))$
(%i5) sqrt(%)*7/12$
(%i6) a2:5$
(%i7) b2:7$
(%i8) c2:2*d$
(%i9) expand((a2+b2+c2)*(b2+c2-a2)*(c2+a2-b2)*(a2+b2-c2))$
(%i10) sqrt(%)/4$
(%i11) solve(%=%th(6),d)$
(%i12) expand((lhs(%))^2-(rhs(%))^2)$
(%i13) solve(%,d)$
(%i14) part(%,4)$
(%i15) sqrt(-16*%^4+592*%^2-576)/4$
(%i16) float(%)$
(%i17) rhs(%);
(%o17) 16.8()
˭ԡ 1013ڡ 16:42:48 MAIL:fttnm528@ybb.ne.jp 25976
¼ŵ

ҥᥭ˳ˡ⤢롣
׻ȤƤϡåƥĥ褽ŪǤϤʤͤȤƤȤ¾ڤ줿

ѷABCΡѤϡѷEDCѤΡܡ

BDCDᡡaȤȡѷEDCλդΡϡ6,3,aˡѷABCΡդϡ7,5,2aˡ

Ĥإθˤȡʣʷ׻ؤơaΣ23.4롣
ʣaΣˡߡaΣݣΣˡΡʿѡ16.8

1013ڡ 16:54:13 MAIL:tedksya@r02.itscom.net 25977
uchinyan
#259733ܤʤɡȤƤϡ⥹åꤷƤƴñ⤷ʤʡȺɾǤ
Ĥޤꡢ2ܤ3ܤƱǡ1ܤ뤫ʡ
#25962Υ⡼ޥ󤵤ƱʤɡҤˤʤåꤹ뵤ޤ
AC F ȤF D ȤӤޤϢꡢDF AB ʿԤǡDF = 1/2 * AB = 5/2 Ǥ
EF = AF - AE = 1/2 * AC - AE = 7/2 - 1 = 5/2 = DF ʤΤǡFED ջѷǤ
F DE ˿򲼤­ H ȤޤEH = 1/2 * ED = 3/2 ʤΤǡFEH 345 ľѻѷ FH = 4/2 = 2cm Ǥ
ǡFED = 1/2 * ED * FH = 1/2 * 3 * 2 = 3 cm^2 Ǥ
줬ʬδط顢FAD = FED * 2/5 * 7/2 = 21/5ADC = 2 * FAD = 42/5 ʤΤǡ
ABC = 2 * ADC = 84/5 cm^2 ˤʤޤ
ͥνȡ 1013ڡ 19:05:56 MAIL:uchi@sco.bekkoame.ne.jp 25978
uchinyan
äǤ̲Ǥͥ饦Ȥޤ
BA DE αĹθ P Ȥޤͥ饦ꡢ
CE/EA * AP/PB * BD/DC = 1 ǡ6/1 * PA/(PA + 5) * 1/1 = 1 顢PA = 1 Ǥ
PA/AB * BC/CD * DE/EP = 1 ǡ1/5 * 2/1 * 3/PE = 1 顢PE = 6/5 Ǥ
AP = 1 = AE ʤΤǡAEP ջѷǤ
A EP ˿򲼤­ H ȤȡEH = PH = 1/2 * EP = 3/5 ˤʤޤ
ǡAEH 345 ľѻѷǡAH = 4/5 ˤʤꡢAEP = 1/2 * EP * AH = 1/2 * 6/5 * 4/5 = 12/25 cm^2 Ǥ
δطǡ
ADE = 3 * 5/6 * AEP = 3 * 5/6 * 12/25 = 6/5 cm^2
ABC = 2 * ADC = 2 * 7 * ADE = 84/5 cm^2
ʤ#25978Τ褦 AC F ȤäơEAP EFD Ȥȡͥ饦ʤƱ褦ʤȤǤޤ
ͥνȡ 1013ڡ 22:44:51 MAIL:uchi@sco.bekkoame.ne.jp 25979
uchinyan
ͤޤǤˡʣǿȤäˡǤ
A(0)B(z)E(-1)C(-7) ȤޤȡD((z-7)/2) ˤʤޤˡ
AB = |z| = 5ED = |(z-7)/2 + 1| = |(z-5)/2| = 3
Ǥǡ
|z-5|^2 = 6^2 = 36, |z|^2 - 10 * Re(z) + 25 = 36, Re(z) = 7/5
ˤʤޤ
B AC ˲­ H ȤȡʿꡢBH^2 = |z|^2 - (Re(z))^2 = 25 - 49/25 = 576/25 ǡ
576 = 2 * 288 = 4 * 144 = 4 * 12^2 = 24^2 ʤΤǡBH = 24/5 Ǥ
äơABC = 1/2 * AC * BH = 1/2 * 7 * 24/5 = 84/5 cm^2 ˤʤޤ

ɲá͡Ѵؿ;Ȥäˡ
դȵˤʤäƷǼĤɤ֤顢ѴؿβˡζŪʽ񤭹ߤϤʤΤǤ͡
񤤤Ƥޤ礦BD = a Ȥޤ
CAB ;Ȥäơ
cos(C) = (CA^2 + CB^2 - AB^2)/(2 * CA * CB) = (7^2 + (2a)^2 - 5^2)/(2 * 7 * (2a)) = (a^2 + 6)/(7a)
CED ;Ȥäơ
cos(C) = (CE^2 + CD^2 - ED^2)/(2 * CE * CD) = (6^2 + a^2 - 3^2)/(2 * 6 * a) = (a^2 + 27)/(12a)
Ĥμ顢
(a^2 + 6)/(7a) = (a^2 + 27)/(12a), a^2 = 117/5, a = sqrt(117/5)
ǡBC = 2 * BD = 2 * sqrt(117/5) = sqrt(468/5) ˤʤޤ
ABC ;Ȥäơ
cos(A) = (AB^2 + AC^2 - BC^2)/(2 * AB * AC) = (5^2 + 7^2 - (sqrt(468/5))^2)/(2 * 5 * 7) = ... = - 7/25
ǡsin(A) = 1 - (cos(A))^2 = 1 - (7/25)^2 = 576/(25)^2 = (24/25)^2, sin(A) = 24/25 > 0 ꡢ
ABC = 1/2 * AB * AC * sin(A) = 1/2 * 5 * 7 * 24/25 = 84/5 cm^2

äȻͤǽ񤭹ߤ᤮Ǥ͡ޤm(__)m
ͥνȡ 1014ʶ 17:39:22 MAIL:uchi@sco.bekkoame.ne.jp 25980
uchinyan
#25970ΰ̲
ABFEȤޤǤ#25970ƱǤθ塥
A EF ʿԤ BF Ȥθ G ȤޤAE//BFAG//EF ꡢAGFE ʿԻշǤ
ǡBG = BF - GF = BF - AE = 6 - 1 = 5 = BA ȤʤꡢBGA ջѷǤޤAG = EF = 6 Ǥ
B AG ˿򲼤­ H ȤޤȡAH = GH = 1/2 * AG = 3 cm Ǥ
ǡBAH 345 ľѻѷ BH = 4 cm ȤʤꡢBGA = 1/2 * AG * BH = 1/2 * 6 * 4 = 12 cm^2 Ǥ
դ椫顢
AGFE = 2 * AGF = 2 * 1/5 * BGA = 2/5 * 12 = 24/5 cm^2
ABC = ABFE = BGA + AGFE = 12 + 24/5 = 84/5 cm^2
ƸƤȡ#25973κǽλĤλŪˡϡդ椬 556 ջѷ򸫤Ĥ뤳Ȥ
äơȾʬ 345 ľѻѷ򸫤Ĥ뤳ȤݥȤǤ͡
ΰ̣Ǥϡɤ纹ʤȤȤǤ礦
ͥνȡ 1014ʶ 0:00:48 MAIL:uchi@sco.bekkoame.ne.jp 25981
Ĺֱơ
ʴDz򤱤ޤ
http://omosiro.ddo.jp/sansu/472.gif
ܾ븩 1016 18:21:36 HomePage:⥷̿ۥ轵˸깹25982
ȥȥ
#25979
ƱǤꥢ륿ǤäȸƤǰƤޤ
ä魯Ƥޤ⤦ٹͤ˹ͤΤƱˡ
äΤǤ⤦ǴФ褫ä⡣
ʼ˸лԡ 1017ʷ 0:52:43 MAIL:h-sakai@zb3.so-net.ne.jp 25983
tapu
סǤCAĹƭCEDέCFBȭAFBջѷˤʤޤ
1017ʷ 20:02:26 25984

򤯤Τ10ʬ夫ޤ桢ʿʤɤȤޤ빽ʲˡǡޤĩ路ޤ
1019ʿ 0:51:14 25985