{"id":245,"date":"2023-07-10T13:40:44","date_gmt":"2023-07-10T13:40:44","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e9%80%9a%e8%bf%87%e5%b0%8a%e9%87%8d%e7%9b%b4%e7%ba%bf%e5%92%8c%e5%85%ac%e5%bc%8f%e5%b9%b3%e9%9d%a2%e4%b8%8a%e7%9a%84%e5%8f%a6%e4%b8%80%e4%b8%aa%e7%82%b9%e6%9d%a5%e5%af%b9%e7%a7%b0%e7%82%b9\/"},"modified":"2023-07-10T13:40:44","modified_gmt":"2023-07-10T13:40:44","slug":"%e9%80%9a%e8%bf%87%e5%b0%8a%e9%87%8d%e7%9b%b4%e7%ba%bf%e5%92%8c%e5%85%ac%e5%bc%8f%e5%b9%b3%e9%9d%a2%e4%b8%8a%e7%9a%84%e5%8f%a6%e4%b8%80%e4%b8%aa%e7%82%b9%e6%9d%a5%e5%af%b9%e7%a7%b0%e7%82%b9","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e9%80%9a%e8%bf%87%e5%b0%8a%e9%87%8d%e7%9b%b4%e7%ba%bf%e5%92%8c%e5%85%ac%e5%bc%8f%e5%b9%b3%e9%9d%a2%e4%b8%8a%e7%9a%84%e5%8f%a6%e4%b8%80%e4%b8%aa%e7%82%b9%e6%9d%a5%e5%af%b9%e7%a7%b0%e7%82%b9\/","title":{"rendered":"\u76f8\u5bf9\u4e8e\u53e6\u4e00\u4e2a\u70b9\u3001\u76f4\u7ebf\u548c\u5e73\u9762\u70b9\u5bf9\u79f0"},"content":{"rendered":"

\u5728\u8fd9\u91cc\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u76f8\u5bf9\u4e8e\u53e6\u4e00\u4e2a\u70b9\u3001\u76f8\u5bf9\u4e8e\u76f4\u7ebf\u548c\u76f8\u5bf9\u4e8e\u5e73\u9762\u7684\u5bf9\u79f0\u70b9\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u9010\u6b65\u89e3\u51b3\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002 <\/p>\n

<\/span>\u70b9\u4e0e\u53e6\u4e00\u70b9\u5bf9\u79f0<\/span><\/h2>\n

\u5728\u6211\u4eec\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u5bf9\u79f0\u70b9\u4e4b\u524d\uff0c\u6211\u4eec\u5148\u56de\u987e\u4e00\u4e0b\u5bf9\u79f0\u70b9\u76f8\u5bf9\u4e8e\u53e6\u4e00\u4e2a\u70b9\u5230\u5e95\u662f\u4ec0\u4e48\uff1a<\/p>\n

\u5982\u679c\u70b9 A’ \u5bf9\u79f0\u5730\u4f4d\u4e8e\u4e0e\u70b9 M \u7684\u8ddd\u79bb\u4e0e\u70b9 A \u548c M \u4e4b\u95f4\u7684\u8ddd\u79bb\u76f8\u540c\u7684\u4f4d\u7f6e\uff0c\u5219\u70b9 A’ \u662f\u70b9 A \u76f8\u5bf9\u4e8e\u53e6\u4e00\u70b9 M \u7684\u5bf9\u79f0\u70b9\u3002\u56e0\u6b64\uff0cM \u662f\u7531\u4e0b\u5f0f\u5f62\u6210\u7684\u7ebf\u6bb5\u7684\u4e2d\u70b9\u70b9 A \u548c A’\u3002<\/strong> <\/p>\n

\n
\"\u4e0e\u53e6\u4e00\u70b9\u5bf9\u79f0\u7684\u70b9\"<\/figure>\n<\/div>\n

\"d(A,M)<\/p>\n<\/p>\n

\u53e6\u4e00\u65b9\u9762\uff0c\u6211\u4eec\u4e5f\u79f0M\u70b9\u4e3a\u5bf9\u79f0\u4e2d\u5fc3\u3002<\/p>\n

\u56e0\u6b64\uff0c\u4e3a\u4e86\u8ba1\u7b97\u5bf9\u79f0\u70b9\u7684\u5750\u6807\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u7ebf\u6bb5\u4e2d\u70b9\u7684\u516c\u5f0f<\/a>\uff1a<\/p>\n<\/p>\n

\"\\cfrac{A+A'}{2}=M\"<\/p>\n<\/p>\n

\u4ece\u8fd9\u4e2a\u65b9\u7a0b\u4e2d\uff0c\u6211\u4eec\u63d0\u53d6\u672a\u77e5\u70b9 A’\uff0c\u5e76\u5f97\u5230\u76f8\u5bf9\u4e8e\u53e6\u4e00\u4e2a\u70b9\u5bf9\u79f0\u7684\u70b9\u7684\u516c\u5f0f\uff1a<\/strong> <\/p>\n<\/p>\n

\"\\color{orange}<\/p>\n<\/p>\n

<\/span>\u67e5\u627e\u76f8\u5bf9\u4e8e\u53e6\u4e00\u70b9\u5bf9\u79f0\u7684\u70b9\u7684\u793a\u4f8b<\/span><\/h3>\n

\u4f5c\u4e3a\u793a\u4f8b\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97 A \u70b9\u76f8\u5bf9\u4e8e M \u70b9\u7684\u5bf9\u79f0\u70b9\u3002\u8003\u8651\u4ee5\u4e0b\u4e24\u70b9\uff1a<\/p>\n<\/p>\n

\"A(1,3,0)<\/p>\n<\/p>\n

\u4e3a\u4e86\u786e\u5b9a\u8fd9\u4e24\u70b9\u4e4b\u95f4\u7684\u5bf9\u79f0\u70b9\uff0c\u6211\u4eec\u5e94\u7528\u76f8\u5bf9\u4e8e\u53e6\u4e00\u4e2a\u70b9\u7684\u5bf9\u79f0\u70b9\u7684\u516c\u5f0f\uff1a<\/p>\n<\/p>\n

\"A'<\/p>\n<\/p>\n

\u73b0\u5728\u6211\u4eec\u5c06\u516c\u5f0f\u4e2d\u7684\u70b9\u66ff\u6362\uff1a<\/p>\n<\/p>\n

\"A'<\/p>\n<\/p>\n

\u6211\u4eec\u7ecf\u8425\uff1a <\/p>\n<\/p>\n

\"A'<\/p>\n<\/p>\n

\"\\bm{A'=(-3,5,4)}\"<\/p>\n<\/p>\n

<\/span>\u4e0e\u76f4\u7ebf\u5bf9\u79f0\u7684\u70b9<\/span><\/h2>\n

\u6211\u4eec\u521a\u521a\u770b\u5230\u4e86\u4e00\u4e2a\u70b9\u76f8\u5bf9\u4e8e\u53e6\u4e00\u4e2a\u70b9\u5bf9\u79f0\u7684\u6982\u5ff5\u3002\u55ef\uff0c\u70b9\u76f8\u5bf9\u4e8e\u7ebf\u7684\u5bf9\u79f0\u70b9\u975e\u5e38\u76f8\u4f3c\uff1a<\/p>\n

\u5982\u679c\u4e24\u70b9 A’ \u548c A \u4f4d\u4e8e\u5782\u76f4\u4e8e\u8be5\u76f4\u7ebf\u7684\u540c\u4e00\u6761\u76f4\u7ebf\u4e0a\uff0c\u5e76\u4e14\u70b9 A’ \u4e0e\u8be5\u76f4\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u7b49\u4e8e\u8be5\u8ddd\u79bb\uff0c\u5219 A’ \u70b9\u662f A \u70b9\u76f8\u5bf9\u4e8e\u76f4\u7ebf\u7684\u5bf9\u79f0\u70b9A \u70b9\u4e0e\u76f4\u7ebf\u4e4b\u95f4\u3002<\/strong> <\/p>\n

\n
\"\u70b9\u76f8\u5bf9\u4e8e\u7ebf\u7684\u5bf9\u79f0\u70b9\"<\/figure>\n<\/div>\n

\"d(A,r)=<\/p>\n<\/p>\n

\u6240\u4ee5\u76f4\u7ebfr<\/em>\u4e5f\u662f\u70b9\u4e4b\u95f4\u7684\u5bf9\u79f0\u8f74\u3002<\/p>\n

\u56e0\u6b64\uff0c\u8981\u786e\u5b9a A \u70b9\u76f8\u5bf9\u4e8e\u76f4\u7ebfr<\/em>\u7684\u5bf9\u79f0\u70b9\uff0c\u6211\u4eec\u5fc5\u987b\u9075\u5faa\u4ee5\u4e0b\u8fc7\u7a0b\uff1a<\/p>\n

    \n
  1. \n
  2. \u6211\u4eec\u627e\u5230\u5782\u76f4\u4e8e\u7a7f\u8fc7\u70b9 A \u7684\u7ebfr<\/em>\u7684\u5e73\u9762\uff08\u4e4b\u524d\u56fe\u5f62\u8868\u793a\u7684\u5e73\u9762 \u03c0\uff09\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\uff0c\u8fd9\u5c06\u662f\u5e73\u9762\u7684\u6cd5\u7ebf\u5411\u91cf\u3002<\/span><\/li>\n
  3. \u6211\u4eec\u8ba1\u7b97\u627e\u5230\u7684\u5e73\u9762\u4e0e\u76f4\u7ebf\u4e4b\u95f4\u7684\u4ea4\u70b9<\/a>\uff08\u4e0a\u56fe\u4e2d\u7684 M \u70b9\uff09\u3002<\/span><\/li>\n
  4. \u6211\u4eec\u4f7f\u7528\u70b9\u5bf9\u79f0\u70b9\u516c\u5f0f\uff08\u89c1\u4e0a\u4e00\u8282\uff09\u6765\u627e\u5230 A \u70b9\u76f8\u5bf9\u4e8e M \u70b9\u7684\u5bf9\u79f0\u70b9\u3002\u7ed3\u679c\u5c31\u662f\u6211\u4eec\u8981\u5bfb\u627e\u7684\u5bf9\u79f0\u70b9\u3002<\/span> <\/li>\n<\/ol>\n

    <\/span>\u8ba1\u7b97\u76f4\u7ebf\u5bf9\u79f0\u70b9\u7684\u793a\u4f8b<\/span><\/h3>\n

    \u4e00\u65e6\u6211\u4eec\u77e5\u9053\u5982\u4f55\u8ba1\u7b97\u53e6\u4e00\u4e2a\u70b9\u76f8\u5bf9\u4e8e\u4e00\u6761\u7ebf\u7684\u5bf9\u79f0\u70b9\uff0c\u6211\u4eec\u5c06\u770b\u5230\u4e00\u4e2a\u89e3\u51b3\u7684\u7ec3\u4e60\u4f5c\u4e3a\u793a\u4f8b\uff1a<\/p>\n