٥륯åĥ
줿褦ǤФƤޤ
828ڡ 0:01:02 42259
ޥ
ߥޥ󡢲եftpͤƤ褦ǤޤǤm(__)m
iMac 828ڡ 0:14:21 HomePage:42260

ФƤʤäΤ򹬤ˡѷľջѷü첽ƵޤľѻѷAH=4,DAB=ߣࣲABCϤΣܤʤΤǣ
޷˸꤬ʤȤüʿ޷ˤȳڤǤ͡޷ơľդǤʤȤεϸǹͤޤ

Ϻꡡ 828ڡ 0:29:07 42262
ʪ
ФƤƤޤ
hb򤵤˱ĹeȤ
eah45٤ˤ顢ah:eh:bh2:2:1
(aehϢabh2ܤѤʤΤ)
bh:ah=1:2
ad5cmbh2cm
abdȢacdƱѤʤΤ
abc10cm2
cm22ʤäƤޤǤ()
12ʬǽޤ(#42258898ۤλ4ä)
{90023ʬǤȤ}

ܡ 828ڡ 12:07:48 42263
ʪ
ޤФƤ
ܡ 828ڡ 0:29:17 42264
٥륯åĥ
޲Фޤ͡ƤäȺޤDz򤱤ޤ
828ڡ 0:37:56 42265
ǯ
ޤ줺ƤޤʬۤɤäƳ顢ޤ
ޤλѷ򣲤ġʡоݤˣ£äǤäĤɩˤȡ
ɩǤ
ȡᣴ
ɩǤʤʿԻշǤ

828ڡ 1:13:39 42268
⡼ޥ
äȤ
ACޤ֤ƹͤȡBB'ACľ򤫤ĸE
CDEľջѷijB=90
Ȥ...
ABD=5*2/2
ABC=2*ABD=5*2=10
^^;v
¨ ^^;v 828ڡ 1:36:16 42269
Ȥ
ɸD(0,0),B(-2,1),C(2,-1),A(0,a)Ȥ
;
20=4+(a-1)^2+4+(a+1)^2-2*sqrt((a-1)^2+4)*sqrt((a+1)^2+4)*sqrt(2)/2
sqrt((a-1)^2+4)*sqrt((a+1)^2+4)*sqrt(2)=2*a^2-10 ξʤΤ
2*a^2-10>=0 a^2>=5 a>=sqrt(5) Ȥ2褷ơxmaxima
find_root(((a-1)^2+4)*((a+1)^2+4)*2=(2*a^2-10)^2,a,sqrt(5),100)$
float(sqrt((%-1)^2+4)*sqrt((%+1)^2+4)*sqrt(2)/4);10.0()
˭ԡ 828ڡ 3:44:52 MAIL:fttnm528@ybb.ne.jp 42270
fumio
Ϥ褦ޤҤ֤֤Ǥ
īϤȤäƤäǤ
ǤϤǤϤޤ͡
828ڡ 6:19:16 42271
Mr.ǥ
ABC=90ȤƤޤдñʤΤǤ줬ʤʤϫޤ
ʷɡΤ褦Ƴޤ
-------------------------
BC˴ؤAƱ¦BC=BA'CBA'=90ǤA'Ȥ
A'BCľջѷȤʤ
BA'CBAC45
4A,A',B,CƱ߼ˤޤ..........
BA'D˲B'H'Ȥ
A'BD梤BH'D
衡BH':H'D=A'B:BD=2:1
BHDˤƤ⡡BH:HD21
BH'DᢤBHDȤʤꡡHH'ƱȤʤޤ.......

AA'ƱȤʤޤ
ä
ABH=90롢ABH梤BHDȤʤꡡ
AH=BH*2=4ABD=BDH*5=1*55
ABC=ABD*2=10
828ڡ 9:19:07 42272
typhoon
ػȤȲ򤱤뤱ɻŪ˷׻ڡ
ǽ򸫤ȤɤäDz򤯤¤äƤޤΤϤ餯ʬǤ礦
828ڡ 11:39:15 42273
ʪ
#42263ΰ˥ߥäȤ˵դޤޤ
bah22.5٤礭Ǥ
ܡ 828ڡ 12:12:29 42274
ޥ
http://www.sansu.org/toi899motoneta.gif

θͥϤǤ...
ҡ 828ڡ 12:07:07 HomePage:42275

#42275ޥ뤵󡢤äǤ
ͥϻǤ⸫Ȥ뤯餤ͭ̾()Ǥå(ä)ưäΤˤƤ󥹡餿ƤǤ͡줫ꤤޤ
828ڡ 12:23:52 42276
uchinyan
Ϥˤϡơϡ
ࡤϴԡ

Ǥʬ餺ѴؿФ AH = 4 cm ФAD = 5 cm 顤
ABC = ABD * 2 = AD * BH * 1/2 * 2 = 5 * 2 * 1/2 * 2 = 10 cm^2
ȤƤޤޤ

ABC = 90 ABC ȾʬʤǤ͡餬ݥȤʤ
⤦ͤޤäơǼĤɤΤʹߤˤޤ
ͥνȡ 828ڡ 13:00:32 42277

⻻ǤϻΩ
ޤɽƤʤäΤǡ
AB(b,0)C(c,c)Ȥ
DκɸľADᡢBȤεΥ2Ȥȡ
BC=25ȤϢΩˤꡢ
bcˤĤƤ2ȤʤΤǤβ20Ф
Ѥ1/2bc=10cm2 Ȥޤ

ޥ뤵θͥ򸫤ơۤȴǤ()
828ڡ 13:14:39 42278
Mr.ǥ
ԥޥ뤵θͥȤȤС
CľAD˲CFȤ
BDHᢤCDF
CFBH2
HF1+12
ľAFH˴ؤAƱ¦ˡHAǡ4Ǥ褦A'Ȥ
AH:BH=21AF:CF=3:1
顢ͥˤ褦ˡBA'C=45
BAC=BA'C=45롡顡AA'ϰפ롣
äơAH=4
ȤʤΤǤ礦͡

βˡˤ衢#42272βˡˤ衡A'ȤȤäƤơ̤ȤAA'פ뤫顦
ȻäƤͤФʤʤ褦˻פޤȤˡ񤷤ΤǤϤʤǤ礦
HΤȤEȴְ㤨ƤΤǽޤ
829ʶ 13:32:07 42279
ޤ

£ģȤȢȣ¤ȷDz򤤤ơȤǼΤʤˡǤ̵ǰ
828ڡ 14:01:01 42280
ֿء׾ι
٥ȥȤäƤߤޤ
٥ȥ¤礭⡢٥ȥä礭Ȥޤ
ޤȡġkϼ¿)ɽޤ
٥ȥ¤ȥ٥ȥäΤʤѤϣʤΤǡѤϣcosǤ
Ģݣ£Ȥ顢Ѥꡢk-2)b^2+2(k-1)bc+kc^2=0
£Ȥ礭ꡢ(k-2)^2*b^2+2k(k-2)bc+k^2*c^2=16
ģȤ礭ꡢ(k-1)^2(b^2+2bc+c^2)=4
ȤʤޤΤǡϢΩ򤯤ɤȤˤʤޤ

׻ǤϡɤΤǡmaximaȤޤʲ̤Ǥ
/* [wxMaxima: input start ] */
solve([(k-2)*b^2+sqrt(2)*(k-1)*b*c+k*c^2=0,
(k-2)^2*b^2+sqrt(2)*k*(k-2)*b*c+k^2*c^2=16,
(k-1)^2*(b^2+sqrt(2)*b*c+c^2)=4], [b,c,k]);
/* [wxMaxima: input end ] */
(%o1)[[b=-2,c=2^(3/2),k=0],[b=2,c=-2^(3/2),k=0],[b=2*sqrt(5),c=2*sqrt(10),k=4/5],[b=-2*sqrt(5),c=
-2*sqrt(10),k=4/5],[b=3*sqrt(10)-sqrt(2)*sqrt(5),c=2*sqrt(5),k=6/5],[b=sqrt(2)*sqrt(5)-3*sqrt(10),c=-2*sqrt(5),k=6/5],[b=2^(3/2),c=
-2,k=2],[b=-2^(3/2),c=2,k=2]]

Ȥʤޤǡ˹פΤϡk=4/5 Ǥ
828ڡ 15:47:53 42281
uchinyan
ࡤʤǤΤʡ

AD Ĺ C 򲼤­ ECE Ĺ B 򲼤­ FȤޤ
BH//CFDB = DCDBH DCECE = BH = 2 cmDE = DH = 1 cmBF = HE = 2 cmCF = 4 cm
AE = AH + 2BAH + CAE = BAC = 45롤Ǥ
ǡCBF B 濴 90ž C ΰư C' Ȥޤ
BFEH ʤΤǡF H ˽Ťʤ C' AE Ϥ A αŸߤޤ
ˡC'BC = 90BC = BC' ʤΤ BCC' ľջѷˤʤ BC'C = 45Ǥ
⡤BCAE ꤷ֤ǡ
AE Ϥ A αŸߤ BC'C = 45Ȥʤ C' 餫˰Ĥޤ
ȤƱβ BAC = 45ʤΤǡC' = A ǤʤФʤޤ
ΤȤAH + 2 = AE = C'E = C'H + HE = CF + 2AH = CF = 4 cmAD = 5 cm
Ȥʤäơ
ABC = ABD * 2 = AD * BH * 1/2 * 2 = 5 * 2 * 1/2 * 2 = 10 cm^2
ˤʤޤ

C' ΰϤ⤦Τ⡤Ȥ⤷ޤ
ޤȤƤϡ餫ˡǤ礦

¤ϡβˡϡ˽Ҥ٤Ѵؿˤˡ
tan(BAH) = 2/AHtan(CAE) = 2/(AH + 2)tan(BAH + CAE) = tan(BAC) = tan(45) = 1
AH Ȥˡ㴳˲ᤷľΤǤ

äȲ򸫤ȡޥ뤵ΥҥȤФƤ褦Ǥ
ǼĤɤΤϡ嵭βˡ⤦åƤˤޤ
ͥνȡ 828ڡ 16:38:31 MAIL:uchi@sco.bekkoame.ne.jp 42282
ޥ
­Ȥϻפޤ⤦ġ

http://www.sansu.org/toi899motoneta2.gif
ҡ 828ڡ 18:46:54 HomePage:42283
ϥ饮㡼ƥ
MATHEMATICAȻѴؿǤԤ˹ԤäƤޤ
829ʶ 9:15:22 HomePage:湩ؤ˥42284
⡼ޥ
#42283
Aha!!
ͭ̾?οޤǰȯǤΤ͡
¨ ^^;v 829ʶ 12:01:23 42285
uchinyan
ǼĤɤߤޤ줫ʹߤˤ褦ʡ

ǽ顤ޤɽʤȤ㴳Υȥ֥Ϥä褦Ǥ礷ƶϤʤä褦Ǥ͡

ơβˡǤΤϤϢγʤ褦Ǥ
äݤˡȤʤȤʤʤä褦Ǥ

#42262
ABC ľջѷü첽Ʋ򤯲ˡ
¤ϡºݤˡABC ľջѷä櫓Ǥ

#42263
HB Ĺ EAH = 45Ȥʤ E äƹͤˡ
̤ȤƤΤǤ
eah45٤ˤ顢ah:eh:bh2:2:1
(aehϢabh2ܤѤʤΤ)
ʤʬ򤬤褯ʬʤǤ
ڤȤƤϡϤ򤷤äȼȤפȻפޤ

#42265
ޤˤˡ

#42268
ABC D ˴ؤ 180žʿԻշʿԻշǤ뤳ȤѤˡ
ϻͤޤ
ˤǤʿԻշˤʤ뤳Ȥ򤭤ȼΤ񤷤ޤ

#42269
ABC AC ˴ؤޤ֤B ΰư B'AC BB' θ EȤƹͤˡ
ϻͤޤ

䢤CDEľջѷ
Ϸ̤ȤƤΤǤκϡ

#42272
BC ˴ؤ A Ʊ¦ BC = BA'CBA' = 90Ǥ A' äƹͤ A' = A 򼨤ˡ
ʤۤɡ褯ͤƤȻפޤ

#42275#42283#42279#42282
ԥޥ뤵θͥڤӤˡޤ򻲾ȤΤȡ
ͥϤ褯Τ줿ͭ̾Ǥ͡餳ˤΤϤ
#42283οޤϤ˾褯ޤ
ɡ#42283οޤƤϤ롤Ȥäβˡˤʤޤ
#42279 E H ʡ

#42280
BDH ABH ȲꤷƲ򤯲ˡ

#42270#42278
ɸˤزˡ

#42277#42282κǸդꡤ#42284
Ѵؿˤزˡ

#42281
٥ȥˤزˡ
ͥνȡ 829ʶ 12:32:47 MAIL:uchi@sco.bekkoame.ne.jp 42286
Mr.ǥ
uchinyan
#42279ˤ뵭ߥΤŦ꤬ȤޤʶĤ̤Ǥ
äޤ
829ʶ 13:34:02 42287
⡼ޥ
uchinyan ^^
#42269
ƹͤƤߤޤ...ä̤...ޤǤ^^;
øʤȤǿޤǤȥ졼Ŧåm(_ _)m
¨ ^^;v 829ʶ 18:46:27 42288
ǯ
#42286 uchinyan󡢤꤬Ȥޤ
#42268ʿԻշξϳΤ˴ñǤϤޤǤ
гߤʬ롣
г2ĤʿԻշƱ٤Ǹ
ĺѡѡˤƱǤ롣
Ȥ顢ˤϰ㤤ʤñǤȹ򤯤äơ񤭹ߤޤäƤߤ񤷤
Ʊ褦񤷤ȽǤ줿äȤΤϡ­ȤǤϤʤȤȽäƿ
829ʶ 19:07:40 42289

βϤäȤȻפ
http://www.mathtext.info/sanchare899k.pdf
830ڡ 1:09:09 HomePage:42290
ͺ
45٤ޤ֤äƲ򤭤ޤ
ޤľջѷäȤϡ
830ڡ 21:42:00 42291
粬ҹ
϶()ǤޤŪͤϡǤ͡ĿŪˤ̵Ǥ
831 14:37:13 42293
ޤ
ʺǹ̤ܤߡ
#42280 ޤ ޡƱ
ABH BDHȡַǡס
Ƥޤ(^^;

ǼĤΤơʤȤϤDz򤱤ޤ

ǼĤҸơϢγޤ⤴ϫƤ褦ǡ
ۥäȤޤʾСˡ
ʤꡢͥҸơӤä!! (ա)ݥ

ADαĹˡHD = H'D Ȥʤ褦H'롣
BH = H'H BH'H = 45
ޤBH'CH ʿԻշˤʤ뤿ʢ г¾2ʬ
CH'D = 90롡äơBH'C = 45+ 90= 135
BH'C BAC = 180ꡢABH'C Ʊ߼ˤ롣

H'BC = CAH' (Ʊ̤ξΩı߼ѡ
DBH = H'BH(= 45) - H'BC
BAH = BAC(= 45) - CAH'ǤΤǡ
DBH = BAH
袤ABH BDH(

ȤꡢǤ͡

somewhere in the world 92ʲС 1:51:16 42294
Mr.ǥ
#42294ʤۤɡʤǤ͡
91ʷ 15:30:00 42295

#42294ˤäꤷƤƤǤ͡פĤޤǤ

ʲлťߤǶ̤Ǥ
H'BC = CAH' (Ʊ̤ξΩı߼ѡ
DBH = H'BH(= 45) - H'BC
BAH = BAC(= 45) - CAH'ǤΤǡ
DBH = BAH
ΤȤ
DBHDBH'BCH'ʿԻշѡ
BAHBAH'BCH'Ʊ̤α߼ѡ
DBH = BAH
ȤȣԾʤޤ
91ʷ 19:29:48 42296
ޤ
#42295 Mr.ǥޡ#42296 ᤤޡ
˫Τդĺŷˤ⾺뵤ʬǤ!!
ʤʤȤϡ⤦2٤ȤʤǤ礦͡ġ

¤ϡȯۡפȤꡢ
ΤäƤפȤΤľʤȤǤ
žޤ֤ʤȤפޤ
0.1ø˻׹ߡޡ

2ܤ׺뤳30ǯ᤯̤äƤ
ΤʹƤΤǡ
ȤꤢФƤߤޤʶСˡ

#42296
ʲлťߤǶ̤Ǥ

ξȥץʤäͤϽ񤱤ޤ󤬡ġˤ
ûûۤɥ쥬ȤǤ͡


䡡DBHDBH'BCH'ʿԻշѡ
ϡDBH = BCH' Ǥ͡^^;

ͤΤϡäȥեȤǤ orz

䴹å(ä)

ٶˤʤޤ(^^

somewhere in the world 92ʲС 2:10:42 42297
ޤ
ϢǤߤޤ󡣡

ʬβľƤơ
ʹʤ褦ʵ䤬

֡ʤ椨ˡˡפϡ
Ǹηʾ٤ơˤ
ƳսΤߤǻȤΤǤ礦ġ

somewhere in the world 92ʲС 2:03:58 42298