ǯ
פⲿʤȤꤢñ˷׻ޤ
42ڡ 0:06:28 43114
Ȥ
xmaxima

solve(1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10+1/11=a*(1/66+1/70+1/72),a);a=17()

1ʬenter򲡤+1/11ΤĤ˺Ǵְ㤨!!٤ʤޤ
˭ԡ 42ڡ 0:12:34 43115
å
ʤʤ򤤷׻ιפǤ͡դʬ줬Ȼפä
66=611
70=710
72=89
Ǥ줾ݤƤ¤17ˤʤäƤޤ
42ڡ 0:19:38 43116
å
ʤߤ˺դ¤3Ѥ顢1/61/11ޤǤñʬ¤ˤʤޤ͡
42ڡ 0:22:18 43117
٥륯åĥ
ˤޤȤޤޤ
ʬ2ܤˤʤ1/1-1/2ʤɤޤȤƤǡ

1/1-1/21/21/2-1/41/41/3-1/61/6
42ڡ 0:27:15 43118
å
Ȥξü­ȱդʬ줬3ĽФΤǥ=17Ǥ͡
䡢ʤʤפǤʤäǤ
42ڡ 0:26:20 43119
!!!
JJMOȤJMOͽˤꤽʴ
͡ 42ڡ 0:32:14 43120

ѥɤΤޤޤäǤ͡ʤĤ⤳äƤ顢ΤǡؤǤޤ
դʬ졢˽ޤΤϣȣȣʤΤǡ
ܣݣᣱ
ǡȡ
ϳǧǡ
ݣܣᣱ
ݣݣݣܣᣱ
Ǥ
Ϻꡡ 42ڡ 0:41:21 43121

Фϡ
ʲΤ褦ʴǤ
ʬʬ줬66,70,72ȤʤΤޤȤ᤿ȤʬҤƱ()Ȥʤͤޤ
<>ðۤʰɬȤ
66{1,2,3,6,<11>}ʬ{+66,-33,+22,-11,<+6>}
70{1,2,<5>,<7>,<10>}{+70,-35,<+14>,<+10>,<-7>}
ˤʤΤ175287
66ΤȤˤõ
17ΤߤäΤ(+22-11+6)
ȤäƤʤ{1,2,4,8,<9>}ʬ72ʬƷ׻ʬ17ˤʤΤǧȤޤ

42ڡ 0:52:51 43122
ǯ
1/66ˤϡ-1/6+1/111/70ˤ1/5+1/7-1/101/72ˤ-1/8+1/9ޤޤȤȽꤷ
Ȥ1,-1/2,1/3,-1/4ϻԺǿʬƤ򿶤ʬ
1/3-1/6+1/11 1/5+1/7-1/10 1,-1/2,-1/4,-1/8,1/9
#43117#43118Τ褦˻פĤɤäΤǤˤ̵Τ褦Ǥ
42ڡ 1:01:33 43123
?????
1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + 1/9 - 1/10 + 1/11
= (1- 1/2 - 1/4 - 1/8) + (1/3 - 1/6) + (1/5 - 1/10) + 1/7 + 1/9 + 1/11
= 1/8 + 1/6 + 1/10 + 1/7 + 1/9 + 1/11
= (1/6 + 1/11) + (1/7 + 1/10) + (1/8 + 1/9)
= (11+6)/6*11 + (10+7)/7*10 + (9+8)/8*9
= 17/66 + 17/70 + 17/72
= 17*(1/66 + 1/70 + 1/72)
衡 = 17
42ڡ 2:18:01 43125
Goosehouse
ǡ̤­ƳäƤޤޤ
42ڡ 2:38:06 43126

(1- 1/2 -1/4 - 1/8)+1/9=1/8 + 1/9 = 17 * 1/72
1/5 + 1/7 -1/10 = 17 * 1/70
1/3 - 1/6 + 1/11 = 1/6 + 1/11 = 17 * 1/66
ä17
42ڡ 3:49:44 MAIL:nikotan@fat.coara.or.jp 43127

(1 - 1/2 - 1/4 - 1/8) + 1/9 = 1/8 + 1/9 = 17 * 1/72
(1/5 - 1/10) + 1/7 = 1/10 + 1/7 = 17 * 1/70
(1/3 - 1/6) + 1/11 = 1/6 + 1/11 = 17 * 1/60
ȤȤ줤ˤƣʴ
42ڡ 4:03:52 MAIL:nikotan@fat.coara.or.jp 43128


Ȥޤ
6066
(1 - 1/2 - 1/4 - 1/8) + 1/9 = 1/8 + 1/9 = 17 * 1/72
(1/5 - 1/10) + 1/7 = 1/10 + 1/7 = 17 * 1/70
(1/3 - 1/6) + 1/11 = 1/6 + 1/11 = 17 * 1/66
ȤȤ줤ˤƣʴ
42ڡ 5:37:52 MAIL:nikotan@fat.coara.or.jp 43129
ϥ饮㡼ƥ
Ϥ褦ޤեȤMATHEMATICAǤ

׻򤷤ʤǸ̩˷׻Τǽޤ

42ڡ 6:58:54 HomePage:湩ؤ˥43130
ʪ
ʬ70ˤ1/71/10Τꡢ
66ˤϡ1/11äơ
ȤǤȤϻǤ
42ڡ 11:32:09 43131
uchinyan
Ϥˤϡơϡ
ࡤ򤤤Ȥ⡤祳äǤäȤǤʴ

դʬʬ졤66 = 6 * 1170 = 10 * 772 = 8 * 9ܤơ
դʬʬȤ߹碌κݤ˷̤ˤʤ롤Ȥ˹ͤ뤫ȻפäƤäƤߤ顤
1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + 1/9 - 1/10 + 1/11
= ((1/3 - 1/6) + 1/11) + ((1/5 - 1/10) + 1/7) + ((1 - 1/2 - 1/4 - 1/8) + 1/9)
= (1/6 + 1/11) + (1/10 + 1/7) + (1/8 + 1/9)
= 17/66 + 17/70 + 17/72
= 17 * (1/66 + 1/70 + 1/72)
= 17
ȡȯǽƤޤޤ (^^;

ޤǰǤ⡤ϣ򤱤ФʤΤǡȤǤʤޤ͡
־ʤΤǤ礦
ͥνȡ 42ڡ 12:21:01 MAIL:uchi@sco.bekkoame.ne.jp 43132
uchinyan
ǼĤɤߤޤ
ϡ66 = 6 * 1170 = 10 * 772 = 8 * 9ܤ׻ιסȤΤήΤ褦Ǥ
ʬࡤܺ٤ϡޤǤ礦
ͥνȡ 42ڡ 12:37:56 MAIL:uchi@sco.bekkoame.ne.jp 43133
ߡ
ĤⵤˤʤΤǤϻȤΩƤΤǤ礦

62(1+2)?
ʤɤ褯ˤޤ
ʸǤϤʤΤǻȤƤϼȤΩƤʤ
ͤΤȻפޤ
ΰոϤǤ礦
42ڡ 22:47:34 43134
ߡ
ݤα黻椬ȴƤȤǤ
Τ褦ʼ񤤤
ְ㤤ȻŦƤޤ
42ڡ 22:50:11 43135
٥륯åĥ
Τˡߤν˺Ǥ͡ޤäïˤǤ⤢ޤ
43ʶ 0:23:15 43136
ߡ
ߤν˺Ǥ뤳ȤϤ狼äƤǤͥåȤǵƤΤʹƤߤޤ
⹻ؤǤʸ˿Ȥʤ󤫤ϡߤ񤫤ˡǼȤ⤢äꤹΤǡγȽǤϤɤʤΤˤʤޤ
43ʶ 22:15:44 43137
٥륯åĥ
ǤϡߤάɽϤޤ͡ؿؤǤǽȤȻפޤ
44ڡ 7:41:58 43138
8root!
ʺդμˡᥢ1/2ߡ1/33+1/35+1/36
ξդܤ롣
2ߡʺդμˡᥢߡ1/33+1/35+1/36ˡ
κդ
1-1/2+1/3-1/4+1/5+2/7+2/9+2/11ᥢߡ1/33+1/35+1/36
1-1/2-1/41/4
1/3+1/4+1/5+2/7+2/9+2/11ᥢߡ1/33+1/35+1/36
17/33+17/36+17/35ᥢߡ1/33+1/35+1/36
17ߡ1/33+1/35+1/36)ᥢߡ1/33+1/35+1/36
äƥ17
44ڡ 11:58:15 43139
ޤ륱
google
(1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10+1/11)/(1/66+1/70+1/72)
äƤƸ顢
44ڡ 13:20:49 MAIL:take4310@mobile.email.ne.jp 43140
粬ҹ
פޤʬ򤷤Ƥʤۤɡʬ·ʬҤη׻פƬȤäޤ
46ʷ 22:37:09 43141