Taro
ԺΤդ3.6cm,4.8cm,6cmľѻѷǤޤ
106ڡ 0:06:25 MAIL:tarox@nifty.com 25930

ԺǤĹǤޤǤ
ƲˡͤƤޤ

ޤǤ˲򤱤ƤۤäȤޤ
106ڡ 0:20:00 MAIL:ryoiti@sansu.org 25931
ޥ
ż֤顣

ȤꤢꤷƤˡȡ빽ڤʷ׻ǤǤޤߥϤʤ褦ǥۥäȤƤޤ
106ڡ 0:23:54 25932
Shin Koba
ѤʬơĹơѤʬƤĤĺդ˿ľľ򡢾˸äƱФƤߤȡۤɤαĹȡդ˿ľľȤĤĺȤʤ뻰ѷϤλѷγ¦ĤǤޤλѷγ٤ʬ٤ˡ䢤Ǥ路ƤߤȡĤλѷջѷǤ뤳Ȥ狼ꡢˤäơʿ޷ǴܷȤͭ̾ƻξ¦ꡢδ֤˿ʹ֤ΩĤȡαƤơξü­ޤϤƤ֤ο޷夬ޤǡ2ʬΣ3ʬ1ʬ11.2Ƴޤ
106ڡ 0:39:01 25933
Shin Koba
ѤʬơĹơѤʬƤĤĺդ˿ľľ򡢾˸äƱФƤߤȡۤɤαĹȡդ˿ľľȤĤĺȤʤ뻰ѷϤλѷγ¦ĤǤޤλѷγ٤ʬ٤ˡ䢤Ǥ路ƤߤȡĤλѷջѷǤ뤳Ȥ狼ꡢˤäơʿ޷ǴܷȤͭ̾ƻξ¦ꡢδ֤˿ʹ֤ΩĤȡαƤơξü­ޤϤƤ֤ο޷夬ޤǡ2ʬΣ3ʬ1ʬ11.2Ƴޤ
106ڡ 0:41:05 25934
ޥ
#25933
줬ꤷƤˡǤ(^^;;
PowerBook G4 106ڡ 0:50:55 MAIL:masaru-y@sansu.org HomePage:25935
Ȥ
Ĥ̤κɸ֤+Rľѻѷ⿴Ǥ뤳Ȥ
褺դοޤAP=a,AQ=bȤ
դοޤA(0,0)ȤP(a,0),Q(0,b),B(a+3,0),C(0,b+2)Ȥ
ľBQ:e1:y=-b*x/(a+3)+b$
ľCP:e2:y=-(b+2)*x/a+b+2$
θRsolve([e1,e2],[x,y]);x=(2*a^2+6*a)/(3*b+2*a+6),y=(3*b^2+6*b)/(3*b+2*a+6)
R⿴dzA=90٤
RH=(2*a^2+6*a)/(3*b+2*a+6)(Ȥʤ)=(3*b^2+6*b)/(3*b+2*a+6)
򤤤
solve(2*a^2+6*a=3*b^2+6*b,b);b=(SQRT(3)*SQRT(2*a^2+6*a+3)-3)/3(âĹޥʥϾʤ)
Ѥ(AP+3)*(AQ+2)=(AB+BC+CA)*RH Τ褦2ͤˤ
(a+3)*(b+2)=(a+3+b+2+SQRT((a+3)^2+(b+2)^2))*(2*a^2+6*a)/(3*b+2*a+6)
ʲ(xmxima5.9.1)ǰʲΤ褦˲򤤤
(%i1) b:(SQRT(3)*SQRT(2*a^2+6*a+3)-3)/3$
(%i2) factor((a+3)*(b+2)-(a+3+b+2+SQRT((a+3)^2+(b+2)^2))*(2*a^2+6*a)/(3*b+2*a+6))$
(%i3) num(%)$
(%i4) factor(%/(-2*(a+3)))$
(%i5) part(%,1)$
(%i6) part(%th(2),2)+part(%th(2),3)$
(%i7) expand(%^2-(%th(2))^2)$
(%i8) part(%,1)+part(%,2)$
(%i9) part(%th(2),3)+part(%th(2),4)+part(%th(2),5)+part(%th(2),6)+part(%th(2),7)$
(%i10) expand(%^2-(%th(2))^2)$
(%i11) fortran(factor(%));
a**3*(a+3)**3*(5*a-9)*(5*a+12)
(%o11) DONE
(%i12) a:9/5$
(%i13) fortran((SQRT(3)*SQRT(2*a^2+6*a+3)-3)/3);
8.0/5.0
(%o13) DONE
(%i14) kill(a);
(%o14) DONE
(%i15) kill(b);
(%o15) DONE
(%i16) b:8/5$
(%i17) a:9/5$
(%i18) (2*a^2+6*a)/(3*b+2*a+6);(Ȥʤ)
(%o20) 6/5
(%i21) float(%);
(%o21) 1.2()
̤$ƤǤƤʤƲäƤ뤫狼ʤǤ
ʬ=ʬ/ʬ=0ʤʬ=0򤱤Ф褯ʬҤʬ򤵤Ƥ뤫
a狼äƤΤҤʤsqrt=sqrt+ηˤ
ξ2褷Ƥޤsqrt=sqrt+⤦ξ2褷
٤sqrtϤ25*a^8+240*a^7+702*a^6+108*a^5-2511*a^4-2916*a^3
Ǥʬ򤷤a^3*(a+3)^3*(5*a-9)*(5*a+12)ͤa=9/5
ǤȤ򤭤ޤ
˭ԡ 106ڡ 3:47:42 MAIL:fttnm528@ybb.ne.jp 25937
kasama
Ϥ褦ޤǤޤ(^_^; ʤ󤫤ޤΤʤΤǡѷ3:4:5Ǥ褦ʵ(*^_^*)
106ڡ 9:20:23 25938
ϥ饮㡼ƥ
Ϥ褦ޤǤ
̶彣 106ڡ 11:12:51 HomePage:ĩ25939
ϥ饮㡼ƥ
λѷηޤȴñ˲򤱤ΤǣդĹ
᤿դĹᡤ⡤Ȥ

(c-3)/3=b/a, (b-2)/c=c/a, a^2=b^2+c^2MATHEMATICA

򤱤

b -> 18/5, c -> 24/5, a -> 6ȵޤ롣

ȤϺɸDz򤱤롣
̶彣 106ڡ 15:01:26 HomePage:ĩ25940
uchinyan
ϤФϡϥǤ
RHäܱߤȾ r ʡѤʬդʡפȤʤäơͤƤʬ餺
ǡA = 90٤ξ˺Ƥ뤳Ȥ˵դ
֤ݤľѻѷ黰ʿǤȤˤ򡥡פȤʤäơϥ饮㡼ƥƱǤ
(c-3)/3=b/a, (b-2)/c=c/a, a^2=b^2+c^2
̿򤯤ȡa 4ˤʤɡФ˲򤱤󤸤㤤פȴĥȡ
a^4 - 25 * a^2 - 60 * a - 36 = 0
(a + 1)(a + 2)(a + 3)(a - 6) = 0
Ȥʤäơa > 0 顢a = 6 ʬꡢb = 18/5c = 24/5 Ȥʤޤ
ʤФ᤿ΤǡѤδط顢1/2 * (a + b + c) * r = 1/2 * bc ǡRH = r = 6/5 cm
𤱤ʤԤǤ
ʤΤǡBP = p, CQ = q ξƤȡ
a = 1/2 * ((p + q) + sqrt((p + q)^2 + 4pq))
RH = r = bc/(a + b + c) = 1/2 * pq/(p + q) * (a + p)(a + q)/a^2
Ȥ줤ʼǤ
ϡǼɤٶޤ ^^;
ͥνȡ 106ڡ 17:31:11 MAIL:uchi@sco.bekkoame.ne.jp 25941
uchinyan
#25941ʥ쥹Ǥ
̤ξ硢ְ㤨ޤ
ʤΤǡBP = p, CQ = q ξƤȡ
a = 1/2 * ((p + q) + sqrt((p + q)^2 + 4pq))
RH = r = bc/(a + b + c) = 1/2 * pq/(p + q) * (a + p)(a + q)/a^2
r μϤäȴñˤʤޤ
RH = r = bc/(a + b + c) = pq/(p + q)
ʤȡa, b, c ˤϰ¸ޤ
1/r = 1/p + 1/q
Ǥ줤ǤˤĤʤ񹳤ιפФޤ
ȡǼɤߤޤ
#25933βˡǤΤȤꡣܤ饦ǤʬʤäΤ
ʤߤˤβˡǰ̤ξͤȡѷ顢
r/p = a2/a, r/q = a1/a, a = a1 + a2
r/p + r/q = 1
r = pq/(p + q)
Ǥ͡ȴñʤȤХ󥶥Ǥ ^^/
ͥνȡ 106ڡ 18:23:33 MAIL:uchi@sco.bekkoame.ne.jp 25942
uchinyan
#25941#25942ؤ­
޳ѤʤΤǡA = 90٤Ǥʤ̤ξ⡢׻Ƥߤޤ
RH = r = 1/2 * a/|a^2 - pq| * sqrt((a - p)(a - q)(4pq - (a - p)(a - q)))
ˤޤǤȡޤ꤭줤ʼˤϤʤʤ褦Ǥ
ʤA = 90٤ξϡʿˤäơ
a^2 - (p + q) * a - pq = 0
ơǤ#25942η̤˰פޤ
ͥνȡ 106ڡ 22:47:53 MAIL:uchi@sco.bekkoame.ne.jp 25944


uchinyan󡢤ޤ뤵󡢥⡼ޥ󤵤¤Ӥ˻ΤͤƤä¾Ǥ򿽤ޤ
uchinyanȤθĿŪʤȤǤޤȤ᤿ΤʲˤϤäƤޤhttp://blog.livedoor.jp/czax/
ȸäƤ⤳Υ֥δۤɤΤΤǤϤʤǤ
106ڡ 23:00:03 25945
Toru Fukatsu
ȤƤϫΤǡβˡ­ˤڤӤޤ󤬡ѴؿȤäβˡ񤤤ƤȻפޤ⤦ΤФФ褫äΤˡǰʤ鵤ĤޤǤ
ФλͳѤγѤȤȤ֤δݤϦ/4-ȡBC=aȤơBCPαĹ˿ߤ­P',CBQαĹ˹ߤ­Q'ȤȢP'BP=/4-,Q'CQ=ȡäơ3cos(/4-)=a sin(/4-)=BP', 2cos=a sin=CQ' 餫顢a=6,tan=1/3,tan(/4-)=1/2ޤäơRH=rȤСr/tan+r/tan(/4-)=a r=6/5
107ʶ 11:28:42 MAIL:tfukatsu@tth-japanpost.jp 25946
ϥ饮㡼ƥ
a,b,cޤRܱߤ濴ʤΤRH=hȤ

1/2*(a+b+c)*h=1/2*bc

򤤤ƣ褬ޤ롣¿ʬ줬Mathematicaβ
̶彣 107ʶ 14:41:57 HomePage:ĩ25947
ڡ
ľbcpľˤäʬmȤƹͤޤ
pmrh32
ľѻѷդΨ345
ľ3cm5뤫
350.6cm
ľpm0.631.8cm
pmrh=32ʤä⤤äɡˤʤ顢
1.8321.2
ɤǤ
107ʶ 21:12:45 25948

ӣˣᤵβˡ˴äޤβˡƻʤΤǤĤΣDz򤯤ȤǤޤ
RϻѷABC⿴ʤΤǡRABAC˿򤪤Ƥ­STȤȡRSRSϵRHĹƱhȤ롣ASATƱĹ
PScQTb֤ȡѷRTQBSR顢b/h=h/(c+3)
ƱͤˡѷRSPCTR顢c/h=h/(b+2)餫顡2*c=3*b
c=3*kb=2*k֤
BC5*(k+1)ABh+3*(k+1)ACh+2*(k+1)ʿμ
h*h+5*h*(k+1)-6*(k+1)*(k+1)=0򤤤ơhk+1
bchkɽͤϤΡb/h=h/(c+3)ȡ(k+1)*(k+1)=2*k*(3*k+3)ϡ5*k*k+4*k-1=0Ȥʤꡢ򤤤ơk1/5
äơh6/5
108ڡ 11:19:49 25949
ҡΤ
ʤ궯˷׻򤷤ޤʡ

APx,AQy,BCzȤޤ
3ʿ (x+3)^2+(y+2)^3z^2
Ѥ2ʬ 2x+6=yz , 3y+6=xz
μ򿧡ä...
2x(x+3)3y(y+2) ġ1
(1/9)x^2+(1/4)y^21 ġ2

ǡ2դ (1/3)xsin,(1/2)ycosȤȤ...
x3sin,y2cos 1դơ㤴ä...
25(sin)^4+30(sin)^3-7(sin)^2-12sinȡ0
ʤɤѤưʬ򤷤...
sin(sin+1){25(sin)^2+5sin-12}0
sinȡ0,-1,(3/5),-(4/5)
x>0 sin>0 sinȡ(3/5) cosȡ(4/5)
餫 x(9/5),y(8/5),z6
Ȥ̤rr=1.2Ȥʤޤ

ޤʸ֤餷ƼԤǤʶС
9ߤ濴 108ڡ 19:34:32 HomePage:25950
uchinyan
Shin Koba λˡ­ˤڤӤޤ󤷡ʸߤѤʤǤʤΤǡǤϤʤΤǤ
ʳϡ桢ѷѡ켡ʤΤǡŪ˶ᤤˡǤ
ޤꡢ(Фγ) + (֤γ) = 45 ٤ǤʲǤϡȤäƤޤ
R ꡢABAC ˿򲼤­ ST ȤޤR ABC ܱߤ濴ʤΤǡRH = RS = RT ǤRH = r Ȥޤ
٤δط顢ST ϡ줾졢APAQ ˤ뤳Ȥʬޤ
ˡ٤δط顢RPS CRHRQT BRH ޤǡPS/RS = RH/CHQT/RT = RH/BH ˤʤޤ
ܱߤδطо顢BH = BSCH = CTAS = AT ޤ
Ȥȡ(BH - 3)/r = r/CH(CH - 2)/r = r/BH Ǥ
ñˤȡ3 * CH = BH * CH - r^2 = 2 * BHBHCH = 32 ȤʤꡢBC = a ȤȡBH = 3/5 * aCH = 2/5 * a Ǥ
ȤäۤɤĤμñˤȡĤ 6 * a^2 - 25 * r^2 - 30 * a = 0 ˤʤޤ
ˡABC ѤĤˡǷ׻ơ1/2 * (AB + BC + AC) * RH = 1/2 * AB * AC Ǥ
AS = AT ȡBAC = 90 ٤顢AS = AT = RH = r ǤǡAB = BS + AS = 3/5 * a + rAC = 2/5 * a + r Ǥ
餫 a r ɽȡ2 * (a + r) * r = (3/5 * a + r) * (2/5 * a + r) ǡñˤơ25 * r^2 + 25 * a * r - 6 * a^2 = 0 Ǥ
ޤǤǡa r Ĥμ
6 * a^2 - 25 * r^2 - 30 * a = 0, 25 * r^2 + 25 * a * r - 6 * a^2 = 0
ޤĤäȡޤr^2, a^2 äơ
25 * a * r = 30 * a, r = 6/5
ĤޤꡢRH = r = 6/5 cm ˤʤޤ
BP = pCQ = q ΰ̤ξƱͤ˷׻ǤơRH = pq/(p + q) ˤʤޤ
ơξˤϡ25 * r^2 + 25 * a * r - 6 * a^2 = (5r + 6a)(5r - a) = 0 ʤΤǡ
¤ϡr = a/5ĤޤꡢBC = 5 * RH Ǥ
ȡAB = 4 * RHAC = 3 * RHBH = 3 * RHCH = 2 * RH ʤɤABC 345 ľѻѷǡBH = AC ޤ
ϡͭäǡ̤ p. q ǤϤޤ
ǡȤäˡǽ⤷ޤ
#25948ιڷ֤βˡϡβˡȻפޤ
餫פȤȡäȹͤƤߤΤǤǰʤ餢ޤ餫ǤϤʤ褦Ǥ
Τߤǡ#25948
䡦ɤǤ
Ǥ⤦ɬפǤϤʤʡȻפޤ ^^
ĿŪˤϡBH = AC ݥȤȻפ줿Τǡȥ饤ƤߤΤǤޤñǤϤʤǤ
¤ϡ嵭βˡͤƤߤΤ⡢#25948ä򤤤ʡȻפäΤäǤ
ͥνȡ 1011ʲС 11:35:15 MAIL:uchi@sco.bekkoame.ne.jp 25951
粬ҹ
褦䤯ޤʡ
ǵޤϷ빽ƤŤޤ͡
1011ʲС 22:41:32 MAIL:toshi009@land.hokuriku.ne.jp 25952