{"id":6860,"date":"2024-05-07T00:02:10","date_gmt":"2024-05-07T00:02:10","guid":{"rendered":"https:\/\/science-hub.click\/%E5%AE%8C%E5%85%A8%E3%81%AA%E5%9B%9B%E8%A7%92%E5%BD%A2-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-05-07T00:02:10","modified_gmt":"2024-05-07T00:02:10","slug":"%E5%AE%8C%E5%85%A8%E3%81%AA%E5%9B%9B%E8%A7%92%E5%BD%A2-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=6860","title":{"rendered":"\u5b8c\u5168\u306a\u56db\u89d2\u5f62 – \u5b9a\u7fa9"},"content":{"rendered":"

\u5c0e\u5165<\/h2>

\u5b8c\u5168\u306a\u56db\u8fba\u5f62<\/b>\u306f\u30014 \u672c\u306e\u76f4\u7dda\u3067\u69cb\u6210\u3055\u308c\u305f\u5e73\u9762\u5e7e\u4f55\u5b66\u56f3\u5f62\u3067\u3042\u308a\u3001\u305d\u306e\u3046\u3061\u306e 2 \u672c\u306f\u5e73\u884c\u3067\u306a\u304f\u3001\u3044\u305a\u308c\u306e 3 \u672c\u3082\u540c\u6642\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>

\u5b8c\u5168\u306a\u56db\u89d2\u5f62<\/b>\u3092\u5b9a\u7fa9\u3059\u308b\u3082\u3046 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u7dda(AB)<\/i>\u3068(CD)<\/i>\u306e\u4ea4\u70b9<\/a><\/span>E<\/i>\u3068\u7dda(AD)<\/i>\u3068(BC)<\/i>\u306e\u4ea4\u70b9F<\/i>\u306b\u3088\u3063\u3066\u51f8<\/span>\u56db\u89d2\u5f62<\/a><\/span>ABCD \u3092<\/i>\u5b8c\u6210\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/p>

\u3053\u306e\u56f3\u5f62\u306f\u5c04\u5f71\u5e7e\u4f55\u5b66<\/a><\/span>\u3068\u5bc6\u63a5\u306b\u95a2\u9023\u3057\u3066\u304a\u308a\u3001 2 \u4e16\u7d00<\/span>\u306b\u30e1\u30cd\u30e9\u30a6\u30b9\u3001\u6b21\u306b\u30a2\u30ec\u30af\u30b5\u30f3\u30c9\u30ea\u30a2<\/a><\/span>\u306e\u30d1\u30c3\u30d7\u30b9<\/a><\/span>\u306b\u3088\u3063\u3066<\/sup>\u7814\u7a76\u3055\u308c\u307e\u3057\u305f\u3002<\/p>

\n\"\u5b8c\u5168\u306a\u56db\u89d2\u5f62<\/figure>

\u30d7\u30ed\u30d1\u30c6\u30a3<\/h2>

\u5bfe\u89d2\u7dda\u4e0a\u306e\u9ad8\u8abf\u6ce2\u5206\u5272<\/a><\/span><\/span><\/h3>
\n\"\"<\/figure>
3 \u3064\u306e\u5bfe\u89d2\u7dda [ BD<\/i> ]\u3001[ EF<\/i> ]\u3001\u304a\u3088\u3073 [ AC<\/i> ] \u306f\u305d\u308c\u305e\u308c\u3001\u4ed6\u306e 2 \u3064\u3067\u8abf\u548c\u7684\u306b\u5206\u5272\u3055\u308c\u307e\u3059\u3002<\/div><\/div><\/div>

\u5404\u5bfe\u89d2\u7dda\u306f<\/a><\/span>\u4ed6\u306e 2 \u3064\u306e\u5bfe\u89d2\u7dda\u3068\u4ea4\u5dee\u3057\u3001\u8abf\u548c\u306e\u5206\u5272\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002\u3088\u308a\u660e\u78ba\u306b\u3001\u5bfe\u89d2\u7dda(BD) \u306f\u3001<\/i>\u6b21\u306e\u3088\u3046\u306bI<\/i>\u3068J<\/i>\u3067\u5bfe\u89d2\u7dda(AC)<\/i>\u3068(EF)<\/i>\u306b\u3088\u3063\u3066\u30ab\u30c3\u30c8\u3055\u308c\u307e\u3059\u3002 <\/p>

$$ {{\\frac{\\overline{IB}}{\\overline{ID}}}\\mathrel{:}{\\frac{\\overline{JB}}{\\overline{JD}}}=-1} $$<\/div><\/center>

\u540c\u69d8\u306b\u3001 K \u304c<\/i>\u5bfe\u89d2\u7dda ( AC<\/i> ) \u3068 ( EF<\/i> ) \u306e\u4ea4\u70b9\u3067\u3042\u308b\u5834\u5408:<\/p>

<\/center>

\u3053\u308c\u306f\u3001\u5e73\u884c\u56db\u8fba\u5f62\u306e\u5bfe\u89d2\u7dda\u306e\u6027\u8cea (\u5b8c\u5168\u306a\u56db\u8fba\u5f62\u306e\u5bfe\u89d2\u7dda\u306e 1 \u3064\u304c\u3001\u5b8c\u5168\u306a\u30a2\u30d5\u30a3\u30f3<\/a><\/span>\u5e73\u9762\u3068\u3057\u3066\u898b\u305f\u5c04\u5f71\u9762\u306e\u7121\u9650\u9060\u306e\u7dda\u3067\u3042\u308b\u5834\u5408)\u3001\u3064\u307e\u308a\u305d\u308c\u3089\u304c\u4e2d\u592e\u3067\u4ea4\u5dee\u3059\u308b\u3068\u3044\u3046\u5c04\u5f71\u30a2\u30d0\u30bf\u30fc\u3067\u3059\u3002\u9ad8\u8abf\u6ce2<\/a><\/span>\u5206\u5272<\/a><\/span>\u306e\u9650\u5b9a\u7684\u306a\u30b1\u30fc\u30b9\u306b\u3064\u3044\u3066\u306f\u3001\u8a18\u4e8b\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044)\u3002<\/p>

\u6700\u521d\u306e\u5e7e\u4f55\u5b66\u7684\u30c7\u30e2\u30f3\u30b9\u30c8\u30ec\u30fc\u30b7\u30e7\u30f3\u3092<\/a><\/span>\u884c\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u8abf\u548c\u5c64\u306e\u7279\u6027\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u8abf\u548c\u5c64\u306e\u6b63\u5272\u7dda\u304c\u8abf\u548c\u5206\u5272\u306b\u5f93\u3063\u3066\u30ab\u30c3\u30c8\u3055\u308c\u308b\u3068\u3044\u3046\u7279\u5fb4\u7684\u306a\u7279\u6027\u3068\u3001\u7b2c 4 \u9ad8\u8abf\u6ce2\u306e\u5b58\u5728\u3068\u4e00\u610f\u6027\u3067\u3059\u3002<\/p>

\u3042\u308b\u70b9\u304b\u3089\u6765\u308b 3 \u672c\u306e\u76f4\u7dda\u304c\u4e0e\u3048\u3089\u308c\u308b\u3068\u3001\u305d\u308c\u3089\u306b\u3088\u3063\u3066\u8abf\u548c\u30d3\u30fc\u30e0\u3092\u5f62\u6210\u3059\u308b<\/a><\/span>\u76f4\u7dda\u306f 1 \u672c\u3060\u3051\u3067\u3059\u3002<\/p>

[ O<\/i> |<\/span>\u3068\u8868\u3057\u307e\u3057\u3087\u3046A<\/i> 1<\/sub> \u3001 A<\/i> 2<\/sub> \u3001 A<\/i> 3<\/sub> \u3001 A<\/i> 4<\/sub> ]<\/span>\u76f4\u7dda\u306e\u675f( O<\/i> A<\/i> 1<\/sub> )\u3001 ( O<\/i> A<\/i> 2<\/sub> )\u3001 ( O<\/i> A<\/i> 3<\/sub> )\u3001 ( O<\/i> A<\/i> 4<\/sub> )<\/span> (\u70b9A<\/i> 1<\/sub> \u3001 A<\/i> 2<\/sub> \u3001 A<\/i> \uff13<\/sub> \u3001 \uff21\uff14<\/i>\u306f<\/sub><\/span>\u5fc5\u305a\u3057\u3082\u6574\u5217\u3057\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u306a\u3044\uff09\u3002<\/p>

I \u3092<\/i><\/span>\u5bfe\u89d2\u7dda( A<\/i> C<\/i> )<\/span>\u3068( B<\/i> D<\/i> )<\/span>\u306e\u4ea4\u70b9\u3068\u3057\u307e\u3059\u3002 M \u3092<\/i><\/span>\u30e9\u30a4\u30f3( E<\/i> I<\/i> )<\/span>\u4e0a\u306e\u56fa\u6709\u306e\u70b9\u3068\u3057\u3001\u675f[ E<\/i> | F<\/i> \u3001 C<\/i> \u3001 M<\/i> \u3001 D<\/i> ]<\/span>\u306f\u9ad8\u8abf\u6ce2\u3067\u3059\u3002\u805e\u3044\u3066\u307f\u307e\u3057\u3087\u3046

$$ {H=(FM)\\cap(BC)} $$<\/div>\u305d\u3057\u3066
$$ {H’=(FM)\\cap(AD)} $$<\/div> \u3002<\/p>

\u79c1\u305f\u3061\u306f[ F<\/i> | E<\/i> \u3001 B<\/i> \u3001 M<\/i> \u3001 D<\/i> ] = [ F<\/i> | E<\/i> \u3001 B<\/i> \u3001 H<\/i> \u3001 C<\/i> ]<\/span>\u306a\u306e\u3067\u3001\u30d3\u30fc\u30e0[ I<\/i> | E<\/i> \u3001 B<\/i> \u3001 H<\/i> \u3001 C<\/i> ]<\/span>\u306f\u8abf\u548c\u3067\u3059 (\u8abf\u548c\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u306f\u30bb\u30ab\u30f3\u30c8\u3068\u306e\u4ea4\u70b9\u306e\u4f4d\u7f6e\u306b\u306e\u307f\u4f9d\u5b58\u3059\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u3053\u3067\u30bb\u30ab\u30f3\u30c8\u306f\u7dda( EC<\/i> )<\/i><\/span>\u3067\u3059)\u3002<\/p>

\u540c\u69d8\u306e\u7406\u7531\u3067\u3001 [ I<\/i> | ]<\/span>\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u3067\u3059\u3002 E<\/i> \u3001 A<\/i> \u3001 H<\/i> ‘\u3001 D<\/i> ]<\/span> \u3002<\/p>

\u3057\u304b\u3057\u3001 ( I<\/i> A<\/i> ) = ( I<\/i> C<\/i> )<\/span>\u304a\u3088\u3073( I<\/i> B<\/i> ) = ( I<\/i> D<\/i> )<\/span>\u3067\u3042\u308b\u305f\u3081\u3001 [ I<\/i> | E<\/i> \u3001 A<\/i> \u3001 H<\/i> ‘\u3001 D<\/i> ] = [ I<\/i> | E<\/i> \u3001 B<\/i> \u3001 H<\/i> ‘\u3001 C<\/i> ]<\/span>\u306a\u306e\u3067\u30012 \u3064\u306e\u30d3\u30fc\u30e0[ I<\/i> | E<\/i> \u3001 B<\/i> \u3001 H<\/i> \u3001 C<\/i> ]<\/span>\u304a\u3088\u3073[ I<\/i> | E<\/i> \u3001 B<\/i> \u3001 H<\/i> ‘\u3001 C<\/i> ] \u306f<\/span>\u3069\u3061\u3089\u3082\u9ad8\u8abf\u6ce2\u3067\u3042\u308a\u30013 \u3064\u306e\u5171\u901a\u7dda\u304c\u3042\u308a\u307e\u3059\u3002\u4e00\u610f\u6027\u306e\u6027\u8cea\u306b\u3088\u308a\u3001\u3053\u308c\u3089 2 \u3064\u306e\u5c64\u306f\u540c\u4e00\u3067\u3042\u308b\u305f\u3081\u3001 ( I<\/i> H<\/i> ) = ( I<\/i> H<\/i> ‘) \u3068<\/span>\u306a\u308a\u307e\u3059\u3002<\/p>

\u305d\u308c\u3067

$$ {I=(HH’)\\cap(EI)=M} $$<\/div> M<\/i><\/span>\u306e\u5b9a\u7fa9\u306b\u3088\u308b\u3068\u3001<\/p>\u30d3\u30fc\u30e0[ F<\/i> |<\/span>\u3057\u305f\u304c\u3063\u3066\u3001 J<\/i> \u3001 B<\/i> \u3001 I<\/i> \u3001 D<\/i> ]<\/span>\u306f\u8abf\u548c\u3067\u3059\u3002\u3053\u308c\u306f\u3001 [ I<\/i> \u3001 J<\/i> ] \u304c<\/span>[ B<\/i> \u3001 D<\/i> ]<\/span>\u3092\u8abf\u548c\u7684\u306b\u9664\u7b97\u3059\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/div><\/div><\/div>

Y<\/i> = \u03bb X<\/i><\/span> \u3001 Y<\/i> = \u03bc X<\/i><\/span>\u3092O<\/i><\/span>\u304b\u3089\u306e 2 \u672c\u306e\u7dda\u3068\u3059\u308b\u3002 A<\/i> = ( a<\/i> ,0)<\/span> x<\/i><\/span>\u8ef8\u4e0a\u306e\u70b9\u3002 Y<\/i> = \u03b1( X<\/i> \u2212 a<\/i> )<\/span>\u3068Y<\/i> = \u03b2( X<\/i> \u2212 a<\/i> )<\/span> A<\/i><\/span>\u304b\u3089\u306e 2 \u3064\u306e\u30e9\u30a4\u30f3\u3002 \uff14\u3064\u306e\u4ea4\u70b9\u3092\uff2d<\/i> \uff49<\/i><\/sub> \uff08 \uff58<\/i> \uff49<\/i><\/sub> \uff0c \uff59<\/i> \uff49<\/i><\/sub> \uff09<\/span>\u3068\u8868\u3059\u3002<\/p>

\u8a08\u7b97\u306f\u7c21\u5358\u3067\u3059

$$ { x_1=\\frac{a\\alpha}{ \\alpha-\\lambda}} $$<\/div>\u305d\u3053\u304b\u3089\u9806\u5217\u306b\u3088\u3063\u3066\u6b21\u306e\u5024\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002
$$ {\\quad x_2=\\frac{a\\beta}{ \\beta-\\lambda},\\quad x_3=\\frac{a\\beta}{ \\beta-\\mu},\\quad x_4=\\frac{a\\alpha}{\\alpha-\\mu}.} $$<\/div><\/p>

\u76f4\u7dda( M<\/i> 1<\/sub> M<\/i> 3<\/sub> ) \u306b\u306f<\/span>\u6b21\u306e\u65b9\u7a0b\u5f0f\u304c\u3042\u308a\u307e\u3059\u3002

$$ {\\quad\\begin{vmatrix}X&x_1&x_3\\\\Y&\\lambda x_1&\\mu x_3\\\\1&1&1\\end{vmatrix}= \\begin{vmatrix}X&a\\alpha&a\\beta\\\\Y&a\\lambda\\alpha&a\\mu\\beta\\\\1&\\alpha-\\lambda&\\beta-\\mu\\end{vmatrix}=0.} $$<\/div><\/p>

\u8ef8O<\/i> x<\/i><\/span>\u3068\u306e\u4ea4\u70b9\u306e\u6a2a\u5ea7\u6a19\u03c9 \u3092<\/span>\u5c0e\u51fa\u3057\u307e\u3059\u3002

$$ {\\quad\\omega=\\frac{a^2\\alpha\\beta(\\lambda-\\mu)}{\\begin{vmatrix}a\\lambda\\alpha&a\\mu\\beta\\\\\\alpha-\\lambda&\\beta-\\mu\\end{vmatrix}}.} $$<\/div><\/p>

\u9806\u5217<\/a><\/span>\u306b\u3088\u308a\u3001\u6b21<\/span>\u306e\u3053\u3068\u3092\u63a8\u5b9a\u3057\u307e\u3059\u3002

$$ {(M_2M_4)\\cap(Ox)} $$<\/div> :
$$ {\\quad\\omega’=\\frac{a^2\\alpha\\beta(\\lambda-\\mu)}{\\begin{vmatrix}a\\lambda\\beta&a\\mu\\alpha\\\\\\beta-\\lambda&\\alpha-\\mu\\end{vmatrix}}.} $$<\/div><\/p>

\u305d\u306e\u7d50\u679c<\/p>

\u6c7a\u5b9a\u8981\u56e0\u306e\u958b\u767a\u5f8c\u3002<\/p>

\u6ce8: a<\/i> = 1<\/span>\u3068\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u304c\u3001\u8abf\u548c\u5e73\u5747\u306f<\/a><\/span>\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\u76ee\u7acb\u305f\u306a\u304f\u306a\u308a\u307e\u3057\u305f\u3002<\/div><\/div><\/div>

\u3053\u306e\u7279\u6027\u306f\u3001\u30e1\u30cd\u30e9\u30a6\u30b9\u306e\u5b9a\u7406\u3068\u30c1\u30a7\u30f4\u30a1\u306e\u5b9a\u7406\u304b\u3089\u6f14\u7e79\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3057\u3001\u5f7c\u306e\u5b9a\u7406\u306e 1 \u3064\u3092\u4ed6\u306e\u5b9a\u7406\u304b\u3089\u6f14\u7e79\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u6700\u5f8c\u306e\u8a18\u4e8b\u3092\u53c2\u7167\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>

\u30cb\u30e5\u30fc\u30c8\u30f3\u7dda<\/span><\/h3>

3 \u3064\u306e\u5bfe\u89d2\u7dda\u306e\u4e2d\u70b9\u306f\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u7dda\u3068\u547c\u3070\u308c\u308b\u7dda\u4e0a\u306b\u63c3\u3044\u307e\u3059\u3002<\/p>

\n\"\u5b8c\u5168\u306a\u56db\u89d2\u5f62<\/figure>

\u30df\u30b1\u30eb\u306e\u5b9a\u7406<\/span><\/h3>

\u4e09\u89d2\u5f62\u306b\u5916\u63a5\u3059\u308b\u5186(EAD)<\/i> \u3001 (EBC)<\/i> \u3001 (FAB)<\/i>\u304a\u3088\u3073(FDC)<\/i>\u306f\u540c\u6642\u306b\u5b58\u5728\u3057\u307e\u3059\u3002<\/p><\/div>

\u53c2\u8003\u8cc7\u6599<\/h2>
  1. Complete quadrangle \u2013 anglais<\/a><\/li>
  2. Cuadril\u00e1tero completo \u2013 espagnol<\/a><\/li>
  3. \u05de\u05e8\u05d5\u05d1\u05e2 \u05e9\u05dc\u05dd \u2013 h\u00e9breu<\/a><\/li>
  4. Czworobok zupe\u0142ny \u2013 polonais<\/a><\/li>
  5. Fullst\u00e4ndig fyrsiding \u2013 su\u00e9dois<\/a><\/li>
  6. \u5b8c\u5168\u56db\u7ebf\u5f62 \u2013 chinois<\/a><\/li><\/ol><\/div>\n
    \n

    \n \u5b8c\u5168\u306a\u56db\u89d2\u5f62 – \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n
    \n \n
    \n
    \n