̴
ɤʤ񤭹ǤäʤΤǡǤʬ餺
ؤDz򤭤ޤѷ;2Ȥޤ
BQXCRYAPXȤX+Y+Z=5ȤȡX=(8/3)Z,Y=3ZȤʤΤǡ
Z=3/4ȤʤޤǤϤɤΤǤ礦
ٻΤ桡 54ڡ 11:06:22 52418
̻
狼ʤäΤǡADCȢFBCȤջѷ
ǤȤߤʤơʼºݤϤϤˡʿʤɤ
ȤƿؤDz򤯡
AP=7/12, RC=7/4, BQ=14/9ȵޤ뤬3­Ƥ5ˤϤʤ餺
3ĤĹ漫ΤѤʤȾͽ¬
3/4ҤͤФޤ
ڤŽꡢߤDz򤯤ΤʤȻפɡॺ
54ڡ 14:24:48 52419

ˡϤϤʬʤäΤǤȤǹͤޤ
ABD梤BQD, BCE梤CRE, CAF梤APF
ꤽ줾椬Ĥ
BQD, CRE, APFˤꡢ
AB:BQ=sinB:sin
BC:CR=sinC:sin
CA:AP=sinA:sinƳޤ
äơBQsinB:CRsinC:APsinA=4:6:3(1)
ABCˤ
sinC:sinA:sinB=4:6:3(2)
(1)(2)3BQ:4CR:6AP=4:6:3=24:36:18
BQ:CR:AP=8:9:3
äơAP=53/(8+9+3)=3/4
54ڡ 17:42:41 52420

ɵ
ABC梤PQRȤʤΤ㤨ТBQD=BȤʤ뤳ȤѤƤޤ
54ڡ 17:50:15 52421

١ߤޤɵʬɬפʤǤ͡
dz٤ƱʤΤǡġ
54ڡ 18:43:28 52422
Ȥ
ɸA(0,0),B(-4,0)
B濴Ĺ6α:(x+4)^2+y^2=36
A濴Ĺ6α:x^2+y^2=9
θC(11/8,sqrt(455)/8)
ľBC:y=sqrt(455)*(x+4)/43
x=aȤP(a,sqrt(455)*(a+4)/43)
ľAD:y=-sqrt(455)*(a+4)*x/43/-a(1)
tan(ФΡ)=sqrt(455)*(a+4)/43/-a(2)
tan(ФΡ+EBA)=sqrt(455)/43
ˡ
(tan(EBA)+tan(ФΡ))/(1-tan(ФΡ)*tan(EBA))=sqrt(455)/43
(2)Ȥ
tan(EBA)=43*sqrt(455)*(a+2)/(697*a-910)
ľBE:y=43*sqrt(455)*(a+2)*(x+4)/(697*a-910)(3)
-tan(CFA)=-tan(ФΡ+CAF)
tan(CAF)=-sqrt(455)/11(2)ȤDzˡ
ľCF:y=sqrt(455)*(27*a+22)*
(x-11/8)/(9*a-910)+sqrt(455)/8(4)
ľADľCFθP
Pxɸ:(387*a^2+1548*a)/(288*a^2+455*a+910)
Pyɸ:(4095*a^2+32760*a+65520)/(288*sqrt(455)*a^2+455^(3/2)*a+2*455^(3/2))
ʿAP=18*sqrt(2)*(a+4)/sqrt(288*a^2+455*a+910)(5)

ľADľBEθQ
Qxɸ:-(1849*a^2+3698*a)/(288*a^2+455*a+910)
Qxɸ:-(19565*a^2+117390*a+156520)
/(288*sqrt(455)*a^2+455^(3/2)*a+2*455^(3/2))
ʿBQ=48*sqrt(2)*(a+4)/sqrt(288*a^2+455*a+910)(6)

ľCFľBEθR
Rxɸ:
Ryɸ:
ʿCR=54*sqrt(2)*(a+4)/sqrt(288*a^2+455*a+910)(7)
(5),(6)
AP+BQ+CR=120*sqrt(2)*(a+4)/sqrt(288*a^2+455*a+910)
줬5
a=(43*sqrt(8761)-8761)/1728(8)
(5)Ȥ
AP=3/4()
ȻĤĹ
BQ=8*(3/4)/3=2,CR=3*(3/4)=9/4
AP+BQ+CR=3/4+2+9/4=5Ǹǡ

ʤȤɸǤǤƤ褫äȤǤ!!
˭ԡ 54ڡ 20:54:55 MAIL:fttnm528@ybb.ne.jp 52423
Ȥ
#52423
ʸϤˤޤǤƤޤäΤRx,yɸȴƤơ

ɸA(0,0),B(-4,0)
B濴Ĺ6α:(x+4)^2+y^2=36
A濴Ĺ6α:x^2+y^2=9
θC(11/8,sqrt(455)/8)
ľBC:y=sqrt(455)*(x+4)/43
x=aȤP(a,sqrt(455)*(a+4)/43)
ľAD:y=-sqrt(455)*(a+4)*x/43/-a(1)
tan(ФΡ)=sqrt(455)*(a+4)/43/-a(2)
tan(ФΡ+EBA)=sqrt(455)/43
ˡ
(tan(EBA)+tan(ФΡ))/(1-tan(ФΡ)*tan(EBA))=sqrt(455)/43
(2)Ȥ
tan(EBA)=43*sqrt(455)*(a+2)/(697*a-910)
ľBE:y=43*sqrt(455)*(a+2)*(x+4)/(697*a-910)(3)
-tan(CFA)=-tan(ФΡ+CAF)
tan(CAF)=-sqrt(455)/11(2)ȤDzˡ
ľCF:y=sqrt(455)*(27*a+22)*
(x-11/8)/(9*a-910)+sqrt(455)/8(4)
ľADľCFθP
Pxɸ:(387*a^2+1548*a)/(288*a^2+455*a+910)
Pyɸ:(4095*a^2+32760*a+65520)/(288*sqrt(455)*a^2+455^(3/2)*a+2*455^(3/2))
ʿAP=18*sqrt(2)*(a+4)/sqrt(288*a^2+455*a+910)(5)
ľADľBEθQ
Qxɸ:-(1849*a^2+3698*a)/(288*a^2+455*a+910)
Qxɸ:-(19565*a^2+117390*a+156520)
/(288*sqrt(455)*a^2+455^(3/2)*a+2*455^(3/2))
ʿBQ=48*sqrt(2)*(a+4)/sqrt(288*a^2+455*a+910)(6)
ľCFľBEθR
Rxɸ:(3330*a^2-10727*a-55510)/(2304*a^2+3640*a+7280)
Ryɸ:(352170*a^2+1271725*a+1134770)
/(2304*sqrt(455)*a^2+8*455^(3/2)*a+16*455^(3/2))
ʿCR=54*sqrt(2)*(a+4)/sqrt(288*a^2+455*a+910)(7)
(5),(6)
AP+BQ+CR=120*sqrt(2)*(a+4)/sqrt(288*a^2+455*a+910)
줬5
a=(43*sqrt(8761)-8761)/1728(8)
(5)Ȥ
AP=3/4()
˭ԡ 54ڡ 21:02:12 MAIL:fttnm528@ybb.ne.jp 52424

񤷤ʡ
54ڡ 21:08:32 52425

ˡݤΤǤޤ

AD, BE, CF 򤽤줾Ĺ
X=C, Y=A, Z=BȤʤ褦ˡ
BQX, CRY,APZȡ
λѷϢABC

üޤޤʿ޷顢եΤ褦˼äƲ򤭤ޤ

https://d.kuku.lu/csx67zjeh

äɤˡ⤢ꤽǤ
줷񤭤Ǥߤޤm(_ _)m
54ڡ 22:30:53 52426
ŴϷ
ˡǤ
CAD=QPR, ABE=PQR, BCF=PRQ
CAB=QPR, ABC=PQR, BCA=PRQ
äơABCȢPQRǤ롣
PR : PQ : QR = 3 : 4 : 6ʤΤPR=cm, PQ=cm, QR=cmȤ
PQR : APR : BQP : CRQ : APB : BQC : CRA
= : AP3 : BQ2 : CR4 : BQ2AP/ : CR4BQ/ : AP3CR/ļ1
ǡBAP=CBQ=ACR=ʤΤǡ
APB : BQC : CRA=4AP : 6BQ : 3CRļ2
äơ1ȼ2
BQ2AP/ : CR4BQ/ : AP3CR/=4AP : 6BQ : 3CR
BQ2/ : CR4/ : AP3/=4 : 6 : 3=4⬜ : 6⬜ : 3⬜
BQ=4⬜߭2, CR=6⬜߭4, AP=3⬜߭3
BQ=8⬜߭, CR=9⬜߭, AP=3&#11036
ʾꡢBQ : CR : AP = 8 : 9 : 3
ĤޤꡢAP = 53 / (8+9+3) = 0.75 cm ()
54ڡ 23:39:43 52427
ŴϷ
ۤɤΤʸƤΤǽޤ

ˡǤ
CAD=QPR, ABE=PQR, BCF=PRQ
CAB=QPR, ABC=PQR, BCA=PRQ
äơABCȢPQRǤ롣
PR : PQ : QR = 3 : 4 : 6ʤΤPR=cm, PQ=cm, QR=cmȤ
PQR : APR : BQP : CRQ : APB : BQC : CRA
= : AP3 : BQ2 : CR4 : BQ2AP/ : CR4BQ/ : AP3CR/ļ1
ǡBAP=CBQ=ACR=ʤΤǡ
APB : BQC : CRA=4AP : 6BQ : 3CRļ2
äơ1ȼ2
BQ2AP/ : CR4BQ/ : AP3CR/=4AP : 6BQ : 3CR
BQ2/ : CR4/ : AP3/=4 : 6 : 3=4ߢ : 6ߢ : 3ߢ
BQ=4ߢ߭2, CR=6ߢ߭4, AP=3ߢ߭3
BQ=8ߢ߭, CR=9ߢ߭, AP=3ߢ߭
ʾꡢBQ : CR : AP = 8 : 9 : 3
ĤޤꡢAP = 53 / (8+9+3) = 0.75 cm()
54ڡ 23:59:31 52428
0202
Ǥޤ
Ϥʤ񤷤äǤ
55ʶ 7:39:37 52429
ֿء׾ι
Ϣ٤Ф㤷Ƥޤ
٤Фʤ顢񤷤ä
55ʶ 15:55:42 52432
ȤޤԤ
ꤴޤͥϤΤʡΥꥸʥǤ
55ʶ 16:53:59 52433
Ȥ
#52424
ʥ쥹ǤABC梤PQRΩĤ餷Τ
ʬβˡdzΤޤ

P(-sqrt(8761)/128,sqrt(455)/128)
Q((43*sqrt(8761)-8761)/2304,sqrt(455)*(sqrt(8761)-43)/2304)
R((953-11*sqrt(8761))/1024,sqrt(455)*(139-sqrt(8761))/1024)
PQ=4*(sqrt(8761)-61)/96
QR=6*(sqrt(8761)-61)/96
RP=3*(sqrt(8761)-61)/96

dzΤꤿĤߤǤ͡
˭ԡ 55ʶ 17:26:37 MAIL:fttnm528@ybb.ne.jp 52434
algebra
BADCBEACFȤȤȡ;Ѥơ
AP72sin/455BQ192sin/455CR216sin/455
äơAPBQCR389APBQCR5 AP5(cm)
55ʶ 17:28:07 52435
algebra
AP3/4(cm)
55ʶ 17:30:39 52437
ޥ
#52433

ͥǤʽˡϡ̯˰äƤޤɡ
ҤȤ 56ڡ 14:22:33 HomePage:52438
ޥ
ŪˤϡDz򤱤褦ˤʤäƤΤǤʤʤ񤷤ȡʸ򸫤Ȥˡ˻פޤ

A + A' = 180δطΤ롢ABCȢA'B'C'ȤBA x CA : B'A' x C'A'Ȥʤ뤳ȤѤΤǤ
ҤȤ 56ڡ 14:35:26 HomePage:52439
ֿء׾ι
ޤȤǤʤΤǤξʲΤȤ
£â梤УѣҤΤǡܣ£=ȤȤ
£Ѥˤơܣѣ¡Сݢܣ¤ǡˤꡢ£ѡᣴsinȡsin
Ʊͤˤơãҡ᣶sinȡsináСᣳsinȡsinǤ
ȤǢ£äˤơŬѤȡsinAsinB:sinC=Ȥޤ
äơAP:BQ:CR=狼ޤäơAP=ʣܣܣˡᣳǤ

56ڡ 15:08:54 52440
KawadaT
ѷABCȻѷPQRϡ޾Ǥ1:mȤޤ
ޤAP=a, BQ=b, CR=cȤޤ
ޥ뤵ΥȤơ3ĤλѷϰʲΤ褦ˤʤޤ

ѷAPC:ѷCRB:ѷBQA=a(3m+c)/12m^2:c(6m+b)/18m^2:b(4m+a)/24m^2

ޤ޾ꡢƱ礭ĺѤ򶴤2դѤѷˤʤΤǡ
ѷAPC:ѷCRB:ѷBQA= 3(3m+c):6(6m+b):4(4m+a) Ǥ⤢ޤ

äơĤ˴ؤ뼰ϡΤ褦ñ㲽ˤʤޤ
a/12:c/18:b/24=3:6:4

μ顢a:b:c=3:8:9Ƴޤ

a+b+c=5ʤΤǡ5*(3/20)=3/4 cmˤʤޤ
58ʷ 15:33:19 52441
vibakari
Jޥޤ#52426ȤۤƱޤˤʤäΤǤץäΤǡ
߼ѤȤäƤΤǺȤǤ

ABC梤PQR

ADĹƢPGC梤PQRȤʤ褦GȤȡCR:GQ=RP:QP=3:4

ABC=AGCʤΤDZ߼ѤεդˤꣴA,B,C,GƱ߼ˤ롣
߼ѤˤAGB=ACB
QGB=BCA,BQG=ABCꢤBQG梤ABCʤΤǡGQ:BQ=6:4=3:2

Ʊͤ
CFĹƢHBR梤PQRȤʤ褦HȤȡBQ:HP=6:3=2:1
PHA梤ABCʤΤǡHP:AP=4:3

ʾCR:BQ:AP=9:8:3
AP=5*3/(9+8+3)=3/4
59ʲС 10:05:38 52442
٥륯åĥ
ˡפĤФ餯֤Ƥޤ
AP=BQ=CR=ѷPQRABCʤΤǻդ345ȤơѷPQRѤ12Ȥȡդ椫黰ѷPAB=1/2ߥߥQBC=2/3ߥߥRAC=ߥȤʤꡢޤ3ĤƱѤ򶴤ԤĹѤʤΤ4ߥ6ߥ3ߥä3/4ߥ2/3ߥ2ߥȤʤꥢ3895ʤΤǥ53/203/4Ȥʤޤ
Dz򤤤ƤƤޤ껻äݤޤ󤬡
59ʲС 16:27:17 52443
٥륯åĥ
ְ㤨ޤ
ѷPQRABCʤΤǻդ345346Ǥ
59ʲС 16:33:19 52444
ޥ
#52443

Ϥ줬ǤǤʻϥͥΤäƤƽꤷƤΤ...
ҤȤ 59ʲС 16:46:53 HomePage:52445

ֻ˥󥸡פϻϤ᤿äǤ
񤷤Ǥ͡
59ʲС 22:15:20 52446