ABC˿AH򲼤ȡCACH8:7ˤʤǤ͡
2ܳѤȤäƤ狼äǤɡʤǤʤ
225ڡ 0:13:33 50200

#50200
ABHABCȾʬʤǤ͡ʤۤɡ
225ڡ 0:17:02 50201

ޤȤȡ
ABC˿AH򲼤ȡABHABCȾʬˤʤäơBH1/4.
CH2-1/47/8.
CA:CH8:7

QAC˿QI򲼤ȡCQIȢCAH
CQ=CI8/78/7

AQ=CQ=8/7

PAQȢPBC椬8/724:7
PQ=CQ4/332/21
225ڡ 0:23:10 50202
鯤ο
ACBȤȤȡ;顢cosȡ7/8
AQ=CQ=aȤȡACQȤ;Ȥa=8/7
PQCQ*AQ/(BC-AQ)8/7*8/7/(6/7)32/21
//
225ڡ 0:37:06 50203
ߤ뤯
BCBȤϰۤʤAX=1ȤʤXȤ
٤ʤɤACXPCAʤΤ狼ΤǤȤϷ׻
225ڡ 0:45:38 50204
baLLjugglermoka
Dz򤱤ޤ׻̣ˤɤŻơեġ˻ȥڥ(^^)
225ڡ 0:47:20 50205
Ȥ
ɸC(0,0),B(2,0)Ȥ
C,B濴ˤ줾Ĺ2,1αߤθȤ
A,ľAB,CP(tan2ܳѤθ)
ޤ,θȤPޤ
AyɸľCPyɸQxɸ
Ayɸ=QyɸQޤʬPQʿǵޤ
Maxima

part(solve([x^2+y^2=4,(x-2)^2+y^2=1],[x,y]),2)$
rhs(part(%o1,1))$rhs(part(%o1,2))$
trigexpand(tan(2*a))$ev(%,tan(a)=%o3/%o2)$
part(solve([y=%*x,y=-%o3*(x-2)/(2-%o2)],[x,y]),1)$
sqrt((rhs(part(solve(ev(y=%o5*x,y=%o3),x),1))-rhs(part(%o6,1)))^2+(rhs(part(%o6,2))-%o3)^2);
32/21()
˭ԡ 225ڡ 1:11:11 MAIL:fttnm528@ybb.ne.jp 50206
Ȥ
2ˡǤޤ!!ɸǤʤΤ

ݤcosϻcos2ܳѤ2*((sqrt(15)/2)/2)^2-1=7/8
Ѥ2ʬAP=a,PC=2*a
ǢCPA;a^2=4+4*a^2-2*2*2*a*7/8
򤯤AP=a=4/3PC=8/3ǢQPA梤QCD,AB=CD=1
AP(=4/3):CD(=1) (8/3)*(4/3)/(1+4/3)=32/21()
˭ԡ 225ڡ 1:51:34 MAIL:fttnm528@ybb.ne.jp 50207
Ȥ
2ˡǤޤ!!ɸǺǽβˡ꾯ûΤ

ɸA(0,0),C(2,0)Ȥ
A,C濴ˤ줾Ĺ1,2αߤθB
ľABޤꤳľxɸaȤ
PκɸޤѤ2ʬ
PA^2:PC^2=1:4aޤꤽPκɸ
PA,PCޤꢤQPA梤QDCCD*PC/(AP+CD)
Maxima

part(solve([x^2+y^2=1,(x-2)^2+y^2=4],[x,y]),1)$
part(solve((a-2)^2+(rhs(part(%o1,2))*a/rhs(part(%o1,1)))^2=4*(a^2+(-rhs(part(%o1,2))*a/rhs(part(%o1,1)))^2),a),1)$
sqrt(ev((a-2)^2+(rhs(part(%o1,2))*a/rhs(part(%o1,1)))^2,%o2))$
(%/2)*%/(1+%/2);32/21()
˭ԡ 225ڡ 2:41:35 MAIL:fttnm528@ybb.ne.jp 50208
٥륯åĥ
פĤʤ˿ƤơۤܤФƲƹͤƤʤȤ狼ޤ
PCPQ=2ȤʤRȤꡢPAAS=1ȤʤSȤȡSR=1/2ȤʤꡢѷPSRȻѷPAC椬14ȤʤꡢȤդͤ32/21Ȥʤޤ
ޤ̲ΤǤޤޤ䤹ߤʤ
225ڡ 3:26:52 50209
ֿء׾ι
ȤꤢܳѸǢPBCι⤵Фơ
ABCι⤵Ȥ7:3ˤʤޤΤǡġġĴĥäưŻޤ
225ڡ 3:27:51 50210
Ȥ
#50208
>2ˡǤޤ!!ɸǺǽβˡ꾯ûΤ

3Ǥ͡4ˡɸ

ľAP:y=-sqrt(15)*x
ľCP:y=-sqrt(15)*(x-2)/7
ľAD:y=sqrt(15)*x/7
ľAP,CPθP,ľAD,CPθQỰʿǡMaxima

part(solve([y=-sqrt(15)*x,y=-sqrt(15)*(x-2)/7],[x,y]),1)$
part(solve([y=sqrt(15)*x/7,y=-sqrt(15)*(x-2)/7],[x,y]),1)$
sqrt((rhs(part(%o1,1))-rhs(part(%o2,1)))^2+(rhs(part(%o1,2))-rhs(part(%o2,2)))^2);
32/21()

ûľϤƤޤäơ
˭ԡ 225ڡ 3:51:24 MAIL:fttnm528@ybb.ne.jp 50211
ɥȥ
äΩΤˤʤȺǼ
˷¿Τǥꥢ륿ϤޤǤ
ABCˡAP=1cmȤʤPȤä
1:1.5:224/3=8/34/3:7/3=4:7
8/34/7=32/21Ǥޤ
225ڡ 7:40:01 50212
ֿء׾ι
ΩءǤ͡ǯϤɤʤ󤫡
᤯ƤߤΤǤ
225ڡ 8:02:46 50213
Ȥ
#50211

>ûľϤƤޤäơ

ɸA(0,0),C(2,0)Ȥ
ݤcosϻcos2ܳѤ2*((sqrt(15)/2)/2)^2-1=7/8
ݤtansqrt(1-(7/8)^2)/(7/8)=sqrt(15)/7(1)
PAC=(%pi-a)/2+a=a/2+%/2 ꡡ
tan(a/2+%/2)=-1/tan(a/2)(2)
tan(2*(a/2))=2*tan(a/2)/(1-tan(a/2)^2)=tan(a)=sqrt(15)/7
򤤤tan(a/2)=1/sqrt(15) (2)Ȥꡡ
tan(PAC)=tan(a/2+%/2)=-1/tan(a/2)=-sqrt(15)(1)

ΤϤȤƤäĤ롣
#50208
ȺɸƱ׻ϳڤˤʤäƤȻפޤ!!
˭ԡ 225ڡ 10:42:36 MAIL:fttnm528@ybb.ne.jp 50214

ABCDʿԻշʤΤǢCAQ=BCDξ狼ACQȤQACջѷ
BCBκ˱ĹƤξAE=2ȤʤȤȢACEջѷǢQACACEդʿǵơ椫AQ=CQ=8/7
ΤȤǵޤ
ʿȤäƤޤäġ
225ڡ 10:49:10 50215
Ȥ
#50214

ߤޤ󼫸ʥ쥹ǡ

>PAC=(%pi-a)/2+a=a/2+%/2 ꡡ
>tan(a/2+%/2)=-1/tan(a/2)(2)
>tan(PAC)=tan(a/2+%/2)=-1/tan(a/2)=-sqrt(15)


PAC=(%pi-a)/2+a=a/2+%pi/2 ꡡ
tan(a/2+%pi/2)=-1/tan(a/2)(2)
tan(PAC)=tan(a/2+%pi/2)=-1/tan(a/2)=-sqrt(15)

ȺɸǤʤˡΤΤȰ㤦ΤǤǡ
˭ԡ 225ڡ 11:11:11 MAIL:fttnm528@ybb.ne.jp 50216
ϺĹ
ϳ󤽤줾Ǥ͡
ϣäФ¤о¡ǤꡢУ¡ǤȢУä顢У¡ǡᣲУᣴᡢУáУ¡ǡܣ¡ǣá᣸
УУ¡ᣴ䤷ơߣᣳ
ܤꤺ֤Ȥ䤳äǤ
225ڡ 12:25:53 50217
̻
츫ñ˸ơ񤷤ä
ջѷȤ߹碌Dz򤱤
ɤȻפޤ
225ڡ 12:45:22 50218
Ȥ
#50216

>ȺɸǤʤˡΤΤȰ㤦ΤǤǡ

AP=a,AQ=QC=b,PQ=2*a-bȤ
QPA梤QDCꡡPQ:CQ=PA:CD=a:1=2*a-b:b
2*a-b=a*b(1)
APC=sqrt(4-(1/2)^2)*a/2=(sqrt(15)/2)*a/2=sqrt(15)*a/4
sin()=sqrt(15)/8
ACQ=2*b*sqrt(15)/8/2=sqrt(15)*b/8
sin(2*)=2*(sqrt(15)/8)*(7/8)=7*sqrt(15)/32
AQP=b*(2*a-b)*7*sqrt(15)/32/2
APC=ACQ+AQP=sqrt(15)*a/4-(sqrt(15)*b/8+b*(2*a-b)*7*sqrt(15)/64)
=sqrt(15)*(b-2*a)*(7*b-8)/64 ꡡb=8/7
(1)Ȥꡡ2*a-8/7=a*8/7򤤤ơa=4/3
PQ=2*a-b=2*4/3-8/7=32/21()
˭ԡ 225ڡ 13:26:46 MAIL:fttnm528@ybb.ne.jp 50219
⡼ޥ
ѤʬĹθȤäƤοؤ...Orz
ֿ޷...ǤʤäǤ...^^;
ϸĴҤϤäƤΤ...㤨ʤ ^^;;
225ڡ 13:27:13 50220
Mr.ǥ
ʺϻǡ
CPRCR2Ȥʤ褦ˤȤ
CBAᢤCRAȤʤꡡAR1
PAR梤PCAϡ12
ä
AP:PC:PR241
RCAP(3/2)
AP=2x(2/3)=4/3

AQ:BC=PA:PB=4:7
AQ=2x(4/7)=8/7
QC=QA=8/7
PQ=PCQC2x(4/3)8/732/21
225ڡ 13:46:06 50221
ˤ
ȤꤢؤȤäƤޤޤ
Ķļˡ 225ڡ 16:00:44 HomePage:ޤޤ50222
Ф
ܤꤺäʣʤΤǤӤäꤷޤ
225ڡ 21:33:07 50223
Mr.ǥ
#50222,#50223
ƱǤ
ץǤƤ꤬Ǥ͡
ȤƤ⤤Ȼפޤ
226ʶ 0:01:33 50224

ץǤ
226ʶ 0:53:48 50225

ѷȳѤʬ(x=ab-cd)Ѥޤ
227ڡ 5:33:21 50226

cosƥ겡ޤ
227ڡ 20:27:45 50227

ͿƤͽۤǤʤɤǤ͡
228 1:53:17 50228

24󤫤1625󤫤32ˤʤޤ
2򤢤鲼3夬008ˤʤޤ
ΤȤ2򤫤ȤƹͤǾΤΤϲǤ礦
24ʾ夫ΤȤޤ
32ʲС 3:15:31 50229

Τλԥåդβ(ɽʤС)Ǥ
⤷褫ä򤤤ƤߤƤ
32ʲС 3:16:54 50230
ܥܥС
£ä˿ƣȡѣäջѷǡѤä˿ƣˡѣˣâ梤ȣäȤޤơĿäڤǤ͡ˤ⤤Ǥ꤬Ȥޤ
32ʲС 9:58:39 50231