{"id":2164,"date":"2023-05-16T15:32:59","date_gmt":"2023-05-16T07:32:59","guid":{"rendered":"https:\/\/courtship.top\/?p=2164"},"modified":"2023-05-16T15:32:59","modified_gmt":"2023-05-16T07:32:59","slug":"%e4%b8%ba%e5%95%a5%e5%9b%be%e5%bd%a2%e5%ad%a6%e9%9c%80%e8%a6%814x4%e7%9a%84%e7%9f%a9%e9%98%b5%e6%9d%a5%e8%a1%a8%e7%a4%ba%e4%b8%89%e7%bb%b4%e7%9a%84%e5%8f%98%e6%8d%a2%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/courtship.top\/index.php\/2023\/05\/16\/%e4%b8%ba%e5%95%a5%e5%9b%be%e5%bd%a2%e5%ad%a6%e9%9c%80%e8%a6%814x4%e7%9a%84%e7%9f%a9%e9%98%b5%e6%9d%a5%e8%a1%a8%e7%a4%ba%e4%b8%89%e7%bb%b4%e7%9a%84%e5%8f%98%e6%8d%a2%ef%bc%9f\/","title":{"rendered":"\u4e3a\u5565\u56fe\u5f62\u5b66\u9700\u89814×4\u7684\u77e9\u9635\u6765\u8868\u793a\u4e09\u7ef4\u7684\u53d8\u6362\uff1f"},"content":{"rendered":"\n
\n

b\u7ad9 KarlvonDonitz<\/a><\/p>\nhttps:\/\/www.bilibili.com\/read\/cv200169\/<\/cite><\/blockquote>\n\n\n\n

0x00 \u524d\u8a00<\/strong><\/h1>\n\n\n\n

      \u55e8\uff0c\u4f60\u8bf4\u8868\u793a\u4e00\u4e2a\u4e09\u7ef4\u7684\u70b9\uff0c\u6211\u4eec\u9700\u8981\u51e0\u4e2a\u6570\u5b57\u6765\u8868\u8fbe\uff1f\u5b66\u8fc7\u5c0f\u5b66\u6570\u5b66\u7684\u4f60\u4e00\u5b9a\u77e5\u9053\uff0c\u8868\u8fbe\u4e00\u4e2a\u4e09\u7ef4\u7684\u70b9\u75283\u4e2a\u6570\u5b57\u8db3\u591f\u8868\u8fbe\u4ed6\u7684\u4f4d\u7f6e\u4e86\uff0c\u6bd4\u5982P1\uff08X1\uff0cY1\uff0cZ1\uff09\u8fd9\u4e09\u4e2a\u5750\u6807\u5206\u522b\u8868\u8fbe\u4e86\u8fd9\u4e2a\u70b9\u5728\u5750\u6807\u7cfb\u4e2dX\u8f74\uff0cY\u8f74\uff0cZ\u8f74\u7684\u8ddd\u79bb\uff0c3\u4e2a\u6570\u5b57\u8db3\u591f\u8868\u8fbe\u4e00\u4e2a\u4e09\u7ef4\u7684\u70b9\u4e86\u3002\u4e5f\u5c31\u662f\u8bf4\uff08X1\uff0cY1\uff0cZ1\uff09\u8fd9\u4e2a\u77e9\u9635\u8868\u8fbe\u4e86P1\u8fd9\u4e2a\u70b9\u7684\u4f4d\u7f6e\u3002\u4f46\u662f\uff0c\u4e3a\u5565\u56fe\u5f62\u5b66\u8fd9\u4e48\u4e0d\u8ba8\u597d\u7684\u9700\u89814x4\u7684\u77e9\u9635\u5462\uff1f<\/p>\n\n\n\n

0x01 \u65cb\u8f6c<\/strong><\/h1>\n\n\n\n

        \u6309\u7167\u8fd9\u4e2a\u968f\u610f\u4f5c\u7684\u56fe\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u51fa\u6765\u9876\u70b9P1\u7ed5Z\u8f74\u65cb\u8f6c\u4e86\u03b2\u5ea6\u6765\u5230\u4e86P2\u3002\u90a3\u4e48\uff0c\u6211\u4eec\u8fd9\u91cc\u8bbeP1\u7684\u6a21\u4e3aL\u3002\u56e0\u4e3a\u662f\u6309\u7167Z\u8f74\u8fdb\u884c\u65cb\u8f6c\uff0c\u6211\u4eec\u5c31\u4e0d\u5173\u6ce8Z\u8f74\u4e86\u3002\u5bf9\u6b64\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\uff1a<\/p>\n\n\n\n

      X1=L\u00b7sin\u03b1<\/p>\n\n\n\n

      Y1=L\u00b7cos\u03b1<\/p>\n\n\n\n

     \u54ea\u6837\u6211\u4eec\u4e5f\u53ef\u4ee5\u5f97\u5230\uff1a<\/p>\n\n\n\n

     X2=L\u00b7sin\uff08\u03b1+\u03b2\uff09<\/p>\n\n\n\n

     Y2=L\u00b7cos\uff08\u03b1+\u03b2\uff09<\/p>\n\n\n\n

     \u5bf9\u6b64\u6211\u4eec\u5c06\u4e09\u89d2\u51fd\u6570\u5c55\u5f00\uff0c\u53ef\u4ee5\u5f97\u5230<\/p>\n\n\n\n

      X2=L\u00b7\uff08sin\u03b1cos\u03b2+cos\u03b1sin\u03b2\uff09= cos\u03b2\u00b7X1+sin\u03b2\u00b7X1<\/p>\n\n\n\n

      Y2=L\u00b7\uff08sin\u03b1cos\u03b2-cos\u03b1sin\u03b2\uff09 = cos\u03b2\u00b7Y1-sin\u03b2\u00b7X1<\/p>\n\n\n\n

     \u6240\u4ee5\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5f97\u5230P2\u8fd9\u4e2a\u70b9\u7684\u5750\u6807<\/p>\n\n\n\n

     X2=L\u00b7\uff08sin\u03b1cos\u03b2+cos\u03b1sin\u03b2\uff09= cos\u03b2\u00b7X1+sin\u03b2\u00b7X1<\/p>\n\n\n\n

     Y2=L\u00b7\uff08sin\u03b1cos\u03b2-cos\u03b1sin\u03b2\uff09 = cos\u03b2\u00b7Y1-sin\u03b2\u00b7X1<\/p>\n\n\n\n

     Z2=Z1<\/p>\n\n\n\n

     \u5230\u8fd9\u91cc\u4f3c\u4e4e\u90fd\u4e0d\u9519\uff0c\u4e5f\u6ca1\u5565\u5927\u95ee\u9898\uff0c\u6211\u4eec\u6765\u8bd5\u8bd5\u770b3X3\u7684\u77e9\u9635\u6765\u505a\u8fd9\u4e2a\u65cb\u8f6c<\/p>\n\n\n\n

    |  X2 |      | a   b  c |   |  X1 |<\/p>\n\n\n\n

    |  Y2 |  =  | d   e   f |   |  Y1  |<\/p>\n\n\n\n

    |  Z2 |      |g     h    i |   |  Z1  |<\/p>\n\n\n\n

    \u8bf4\u767d\u4e86\u4e5f\u5c31\u662f<\/p>\n\n\n\n

   X2=aX1+bX1+cX1<\/p>\n\n\n\n

   Y2=dY1+eY1+fY1<\/p>\n\n\n\n

   Z2=gZ1+hZ1+iZ1<\/p>\n\n\n\n

  \u5bf9\u6bd4\u4e0a\u4e0b\u4e24\u4e2a\u65b9\u7a0b\uff0c\u6211\u4eec\u4e0d\u96be\u53d1\u73b0<\/p>\n\n\n\n

   a=cos\u03b2   b=sin\u03b2   c=0 <\/p>\n\n\n\n

   d=-sin\u03b2   e=cos\u03b2  f=0<\/p>\n\n\n\n

   g=0         h=0     i=0<\/p>\n\n\n\n

  \u4ee3\u5165\u77e9\u9635\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230<\/p>\n\n\n\n

    |  X2 |      | cos\u03b2   sin\u03b2     0 |    |  X1 |<\/p>\n\n\n\n

    |  Y2 |  =  | -sin\u03b2   cos\u03b2   0 |    |  Y1  |<\/p>\n\n\n\n

    |  Z2 |       |0          0         0 |    |  Z1  |<\/p>\n\n\n\n

   \u8fd9\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f7f\u75283x3\u7684\u77e9\u9635\u5c31\u53ef\u4ee5\u641e\u5b9a\u4e09\u7ef4\u4e2d\u7684\u9876\u70b9\u65cb\u8f6c\u4e86\uff01\u6240\u4ee5\uff0c\u6211\u4eec\u6839\u672c\u4e0d\u9700\u89814x4\u7684\u77e9\u9635\u5427\uff01<\/p>\n\n\n\n

0x02 \u95ee\u9898\u51fa\u73b0\u5728\u4f4d\u79fb<\/h1>\n\n\n\n
\"\"<\/figure>\n\n\n\n

     \u6211\u4eec\u53ef\u4ee5\u77e5\u9053\u4eceP1\u5230P2\u7684\u4f4d\u79fb\u53ef\u4ee5\u5199\u6210<\/p>\n\n\n\n

    X2=X1+\u0394X<\/p>\n\n\n\n

    Y2=Y2+\u0394Y<\/p>\n\n\n\n

     Z2=Z2+\u0394Z<\/p>\n\n\n\n

    \u90a3\u6211\u4eec\u7ee7\u7eed\u5bf9\u7167\u77e9\u9635\u53d8\u5316\u6765\u8bd5\u8bd5\u770b<\/p>\n\n\n\n

   X2=aX1+bX1+cX1             X2=X1+\u0394X<\/p>\n\n\n\n

   Y2=dY1+eY1+fY1                Y2=Y2+\u0394Y<\/p>\n\n\n\n

   Z2=gZ1+hZ1+iZ1                Z2=Z2+\u0394Z<\/p>\n\n\n\n

   \u770b\u8d77\u6765\u4e0d\u5bf9\u52b2\u554a\uff0c\u6211\u4eec\u6ca1\u529e\u6cd5\u627e\u5230\u0394X\uff0c\u0394Y\uff0c\u0394Z\u8fd9\u4e09\u4e2a\u53d8\u91cf\u5bf9\u5e94\u7684\u53d8\u91cf\u3002<\/p>\n\n\n\n

0x03 \u8bd5\u8bd5\u770b4X4\u7684\u77e9\u9635<\/h1>\n\n\n\n

       \u90a3\u770b\u6765\u6ca1\u529e\u6cd5\u75283X3\u7684\u77e9\u9635\u6765\u89e3\u51b3\u4e09\u7ef4\u70b9\u7684\u4f4d\u79fb\u554a\u3002\u90a3\u6211\u4eec\u4e0d\u59a8\u8bd5\u8bd5\u770b4X4\u7684\u77e9\u9635\u5427\uff01\u8fd9\u6837\u6211\u4eec\u5c31\u5c06\u539f\u6765\uff08x,y,z\uff09\u6539\u6210\u4e86(x,y,z,w)\u8fd9\u6837\u7684\u56db\u7ef4\u5411\u91cf\uff0c\u8fd9\u7b2c\u56db\u4e2a\u5206\u91cf\u6211\u4eec\u79f0\u4e3a\u9f50\u6b21\u5750\u6807\u3002\u5b83\u7b49\u4ef7\u4e8e\uff08x\/w,y\/w,z\/w\uff09\u3002\u8fd9\u6837\u4e5f\u5c31\u662f\u8bf4\uff0c\u5f53\u7b2c\u56db\u5206\u91cf\u662f1\u7684\u65f6\u5019\uff0c\u8fd9\u4e2a\u5750\u6807\u5c31\u53ef\u4ee5\u5f53\u4f5c\u4e09\u7ef4\u5750\u6807\u6765\u4f7f\u7528\uff0cx,y,z\u4e5f\u6b63\u597d\u4ee3\u8868\u8fd93\u4e2a\u503c\u4e3a\u503c\u7684\u5750\u6807\u70b9\u3002\u5982\u6b64\uff0c\u6211\u4eec\u4e3a\u4e86\u548c4x4\u7684\u77e9\u9635\u76f8\u4e58\uff0c\u5c31\u53d8\u6210\u4e86(x1,y1,z1,w)<\/p>\n\n\n\n

      \u90a3\u4e48\u77e9\u9635\u7b49\u5f0f\u5c31\u53ef\u4ee5\u53d8\u4e3a<\/p>\n\n\n\n

      |X2|         |   a    b    c   d |      | X1 |<\/p>\n\n\n\n

      |Y2|          |  e    f   g   h   |       | Y1 |<\/p>\n\n\n\n

      |Z2|    =    | i    j     k    l    |      | Z1 |<\/p>\n\n\n\n

      |1  |          |m      n     o    p|    | 1   |<\/p>\n\n\n\n

     \u8fd9\u6837\uff0c\u6211\u4eec\u7684\u7b49\u5f0f\u5c31\u53ef\u4ee5\u6210\u7acb\u4e86\uff0c\u66f4\u91cd\u8981\u7684\u662f\uff0c\u6211\u4eec\u7684\u77e9\u9635\u53ef\u4ee5\u652f\u6301\u9876\u70b9\u7684\u65cb\u8f6c\u548c\u4f4d\u79fb\uff01<\/p>\n\n\n\n

 0x04 \u6700\u540e\u7684\u8bdd<\/h1>\n\n\n\n

\u00a0 \u00a0\u5f53\u7136\u4e5f\u4e0d\u662f\u6240\u6709\u7684\u65f6\u5019\u90fd\u9700\u89814X4\u7684\u77e9\u9635\u6765\u8fdb\u884c\u53d8\u6362\u3002\u5c31\u6bd4\u5982\u6211\u4eec\u8fdb\u884c\u4eff\u5c04\u53d8\u6362\u7684\u65f6\u5019\u53ea\u9700\u89813X3\u7684\u77e9\u9635\u548c\u5e73\u79fb\u77e2\u91cf\u3002\u4f46\u662f\u6211\u4eec\u8981\u662f\u9700\u8981\u900f\u89c6\u6295\u5f71\u7684\u65f6\u5019\uff0c\u9f50\u6b21\u5750\u6807\u662f\u4e2a\u975e\u5e38\u6709\u7528\u7684\u77e9\u9635\u3002\uff08\u6b64\u6587\u7ae0\u4e3a\u672c\u4eba\u5236\u4f5cMMD\u4e2dfx\u7f16\u7a0b\u7684\u5f15\u5b50\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"

b\u7ad9 KarlvonDonitz https:\/\/www.bilibili.com\/read\/cv200169\/ 0x00 \u524d\u8a00 …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"emotion":"","emotion_color":"","title_style":"","license":"","footnotes":""},"categories":[8,17],"tags":[],"class_list":["post-2164","post","type-post","status-publish","format-standard","hentry","category-graphics","category-17"],"_links":{"self":[{"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/posts\/2164","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/comments?post=2164"}],"version-history":[{"count":0,"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/posts\/2164\/revisions"}],"wp:attachment":[{"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/media?parent=2164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/categories?post=2164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/courtship.top\/index.php\/wp-json\/wp\/v2\/tags?post=2164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}