٥륯åĥ
ADCФоΤEȤꡢABCEʿԡADDEBMMC11DMʿԡC̤AEʿԤľ21ΥԥߥåɷäCE=AC=7ˤʤޤ
116ڡ 0:15:41 48688
ʤ
BACDĹθXȢACXϣջѷ
BXϣ✖️=ѤAC=AX=ѡ
116ڡ 0:20:11 MAIL:junsan23@ezweb.ne.jp 48689
٥륯åĥ
WIN7ΥݡȽλȤȤ10˥åץ졼ɤȤåäƤޤä褦ǡǽ˽񤭹ʬ̵̾ä񤭹᤺äƤޤޤ
ƱƤ񤯤ΤݤǡäȻˤʤäƤޤޤ̣оܤľޤ
116ڡ 0:24:59 48690
̻
BAαĹCDαĹθEȤȡ
ACEϣջѷϢ
ȤäƤȡУݡʣࣲˡѡߣ᣷
116ڡ 0:25:18 48691
ʤ
48689
BX=82=16ѤǤ
116ڡ 0:25:53 MAIL:junsan23@ezweb.ne.jp 48692
鯤ο
CAD򼴤Ȥޤ֤EȤȡ
E,A,BסE,D,CפϤ줾졢ľˤʤ롣
ޤACEϡAC=AE2ջѷ
CBEˤĤơMBCDCEˤʤΤǡ
ϢꡢAB+AEBE2MD
äơ
ACAE2MD-AB2*8-9=7
//
116ڡ 0:36:06 48693
Ȥ
ɸ35=cȤ
A(0,0),B(b,-sqrt(81-b^2)),C(a,0),M((a+b)/2,-sqrt(81-b^2)/2)Ȥ
sqrt(81-b^2)/b=tan(2*c)=2*tan(c)/(1-tan(c)^2) ѷ
sqrt(81-b^2)/b=tan(2*c)-2*tan(c)/(1-tan(c)^2)=0 ѷ
-(sqrt(81-b^2)*tan(c)^2+2*b*tan(c)-sqrt(81-b^2))/(b*(tan(c)-1)*(tan(c)+1))=0
ʬ=0
sqrt(81-b^2)*tan(c)^2+2*b*tan(c)-sqrt(81-b^2)=0
2*b*tan(c)=sqrt(81-b^2)*(1-tan(c)^2) ξ2褷
4*b^2*tan(c)^2-(81-b^2)*(1-tan(c)^2)^2=0 bˤĤƲ򤯤
b=-(9*tan(c)^2-9)/(tan(c)^2+1) ꡡ2ܤMκɸ
M((a*tan(c)^2-9*tan(c)^2+a+9)/(2*(tan(c)^2+1)),-9*tan(c)/(tan(c)^2+1))
ľAD,CDθD
y=tan(%pi/2-c)*x,y=-tan(c)*(x-a)ϢΩȤƲ򤤤
D(a*sin(c)^2,a*cos(c)*sin(c)) MȤεΥ8껰ʿ
XMaxima
(a*tan(c)^2-9*tan(c)^2+a+9)/(2*(tan(c)^2+1))$
-9*tan(c)/(tan(c)^2+1)$
a*sin(c)^2$
a*cos(c)*sin(c)$
factor(trigsimp(num(factor((%th(4)-%th(2))^2+(%th(3)-%)^2-64))));
(a-7)*(a+25)/cos(c)^2 aꡡa=AC=7()
˭ԡ 116ڡ 2:53:14 MAIL:fttnm528@ybb.ne.jp 48694
ȤޤԤ
90٤˥ԥȤޤŻǤ
116ڡ 5:01:05 48695
ֿء׾ι
ãĤ˴ؤоΤʿ޷ãŤͤơġģš£ͣ͡áᣱޤ
116ڡ 6:56:05 48696
ϥ饮㡼ƥ
Ϥ褦ޤ

Ǥ

Dz򤳤ȻפäΤǤ郎ꤹ
ˤΤʤޤ
ԡ 116ڡ 10:28:23 MAIL:tfuruya@aria.ocn.ne.jp HomePage:湩ؤ˥48697
ǯ
AB//DMǤʤȲ򤱤ʤʤȴƤΤǤ
ξˤƤޤ
é夤̤ϡ̻#48691ȰǤ
116ڡ 11:52:40 48698
ˤ
դФơह٤8
ä16-9=7
116ڡ 12:53:07 48699
⡼ޥ
CD˴ؤAоE
AC=CE=x

70=2*35
AB//CE
so...
(9+x)/2=8

or

(8-x)/(9-x)=1/2

x=7



but...
#48691(̻), #48693(鯤οͤ) ޡȤǤ ^^;
116ڡ 14:06:04 48700
ޤ륱
#48686 ֿء׾ιԤ

> ޤ륱󤵤˻ɷ㤵ơruby 򥤥󥹥ȡ뤷ޤ
ѤǤ

> ruby -e "c=0;1.upto(60){ |i| 1.upto(60){|j| if 60%i==0 and 60%j==0 and i<=j and i.gcd(j)==1 then c=c+1 end}}; p c"

饤ʡȡ쥬ȤȤɤߤ䤹ȤΤϵˤʤ뤫⤷ޤ󤬡

* j1Ǥʤiˤǡi<=jξפʤʤޤ
* ifξ˽񤯽ΤǡȤ thenȤendפʤʤ롣
* 黻 += Ȥ1ʸûǤ롣
* ɤߤˤʤ뤱ɡάǤ륹ڡĤ

ruby -e"c=0;1.upto(60){|i|i.upto(60){|j|c+=1if 60%i==0and 60%j==0and i.gcd(j)==1}};p c"

󡢳Τɤߤˤ
116ڡ 18:43:14 48701
ޤ륱
ޤǤϤʴǡ

DAαĹB򲼤EȤ롣
ͳѷEBCDM濴180ٲžĹEFGD롣
ĹդĹAD:DCȰ
AB//DMäƤ狼뤷DF=16ѤʤΤAB:AC9:7äƤ狼롣
117ʶ 10:49:54 48702
ֿء׾ι
#48701ޤ륱󤵤
i.upto(60)äơѿǤΥ᥽åɤȤΤ
if˽񤱤ȤϤ
䤡ˤ⤷Ǥ꤬Ȥޤ
ޤ񤬤Фꤤޤ
117ʶ 13:49:48 48703
ֿء׾ι
#48701ޤ륱󤵤
i.upto(60)äơѿǤΥ᥽åɤȤΤ
if˽񤱤ȤϤ
䤡ˤ⤷Ǥ꤬Ȥޤ
ޤ񤬤Фꤤޤ
117ʶ 14:49:31 48704

ADαĹAD=DEȤʤEȤ
CAEοľʬˤΤǢACEAC=ECջѷĺѤ70
ФΤABEC
MBCDAEǤΤDMABECʿ
ADαĹBCαĹθFȤȢABFDMFECFǤ9:8:7ȤʤΤEC=7
AC=7
120ʷ 12:34:12 48705