{"id":109790,"date":"2025-07-23T01:03:25","date_gmt":"2025-07-23T05:03:25","guid":{"rendered":"https:\/\/minzhuzhongguo.org\/?p=109790"},"modified":"2025-07-22T22:03:45","modified_gmt":"2025-07-23T02:03:45","slug":"%e6%b1%9f%e6%a3%8b%e7%94%9f%ef%bc%9a%e4%b8%a4%e7%9f%a2%e9%87%8f%e7%9a%84%e7%9f%a2%e9%87%8f%e7%a7%af%ef%bc%9a%e8%b4%8b%e7%9f%a2%e9%87%8f%ef%bc%8c%e8%bf%98%e6%98%af%e7%9c%9f%e7%9f%a2%e9%87%8f%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/minzhuzhongguo.org\/?p=109790","title":{"rendered":"\u6c5f\u68cb\u751f\uff1a\u4e24\u77e2\u91cf\u7684\u77e2\u91cf\u79ef\uff1a\u8d0b\u77e2\u91cf\uff0c\u8fd8\u662f\u771f\u77e2\u91cf\uff1f\u2014\u2014\u4e0e\u5f90\u4e00\u9e3f\u6559\u6388\u5546\u69b7\u4e4b\u4e8c"},"content":{"rendered":"

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\nA A\uff0c = \uf0a2
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\"\"<\/p>\n

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\"\"<\/p>\n

\u56fe2 \u77e2\u91cf\u79efC\u4e43\u662f\u5b9e\u5b9e\u5728\u5728\u7684\u771f\u77e2\u91cf\uff1b\u5b83\u7684\u8d0b\u54c1\u5e3d\u5b50\uff0c\u5b8c\u5168\u662f\u88ab\u51a4\u6789\u6234\u4e0a\u7684\u3002<\/p>\n

\u6211\u7684\u4e0a\u8ff0\u89c1\u89e3\uff0c\u5728\u300a\u955c\u4e2d\u4e4b\u6838\u7684\u65cb\u8f6c\u53cd\u5411\u5e76\u672a\u53cd\u8f6c\u2014\u2014\u4e0e\u5f90\u4e00\u9e3f\u6559\u6388\u5546\u69b7\u300b[2]\u4e2d\uff0c\u6709\u6bd4\u8f83\u8be6\u7ec6\u7684\u53d9\u8ff0\u3002\u6781\u7b80\u8bf4\u6765\uff0c\u6211\u7684\u89c1\u89e3\u6765\u81ea\u5982\u4e0b\u8ba4\u77e5\uff1a\u5bf9\u4eba\u7684\u672c\u5c0a\u6765\u8bf4\uff0c\u955c\u50cf\u4e16\u754c\u867d\u8fd1\u5728\u54ab\u5c3a\uff0c\u4f46\u5374\u7edd\u5bf9\u7684\u53ef\u671b\u800c\u4e0d\u53ef\u5373\u3002\u65e0\u8bba\u591a\u725b\u7684\u9ad8\u79d1\u6280\uff0c\u65e0\u8bba\u591a\u70ab\u7684\u4eba\u5de5\u667a\u80fd\uff0c\u90fd\u65e0\u6cd5\u52a9\u529b\u4eba\u7684\u672c\u5c0a\u67d3\u6307\u955c\u50cf\u4e16\u754c\u3002\u955c\u50cf\u4e16\u754c\u4e2d\u7684\u884c\u4e3a\u4e3b\u4f53\uff0c\u552f\u4eba\u7684\u955c\u50cf\u83ab\u5c5e\u3002<\/p>\n

\u6211\u4eec\u5f53\u7136\u53ef\u4ee5\u89c4\u5b9a\uff1a\u6211\u4eec\u7684\u4e16\u754c\u7531\u53f3\u624b\u6cd5\u5219\u6765\u786e\u5b9a\u77e2\u91cf\u79ef\u7684\u65b9\u5411\uff0c\u7136\u800c\uff0c\u6211\u4eec\u5c82\u80fd\u540c\u65f6\u53c8\u89c4\u5b9a\uff1a\u955c\u50cf\u4e16\u754c\u4e5f\u8981\u7531\u53f3\u624b\u6cd5\u5219\u6765\u786e\u5b9a\u77e2\u91cf\u79ef\u7684\u65b9\u5411\uff1f\u8fd9\u4e24\u6761\u89c4\u5b9a\uff0c\u80af\u5b9a\u662f\u76f8\u6096\u800c\u4e0d\u80fd\u5e76\u5b58\u7684\u3002\u53ea\u8981\u60f3\u4e00\u60f3\uff0c\u5982\u679c\u6211\u4eec\u89c4\u5b9a\u6211\u4eec\u4e16\u754c\u7684\u7406\u53d1\u5e08\u53ea\u80fd\u7528\u53f3\u624b\u53bb\u7406\u53d1\uff0c\u6211\u4eec\u8fd8\u80fd\u540c\u65f6\u89c4\u5b9a\uff1a\u955c\u50cf\u4e16\u754c\u4e2d\u7684\u7406\u53d1\u5e08\u4e5f\u53ea\u80fd\u7528\u5176\u53f3\u624b\u53bb\u7406\u53d1\u5417\uff1f\u4e8b\u5b9e\u4e0a\uff0c\u53ea\u8981\u89c4\u5b9a\u5e76\u4e25\u683c\u5b9e\u65bd\u201c\u6211\u4eec\u4e16\u754c\u7684\u7406\u53d1\u5e08\u53ea\u80fd\u7528\u53f3\u624b\u53bb\u7406\u53d1\u201d\uff0c\u4f60\u5c31\u518d\u4e5f\u770b\u4e0d\u5230\u955c\u50cf\u4e16\u754c\u7684\u7406\u53d1\u5e08\u4e2d\uff0c\u8fd8\u6709\u7528\u5176\u53f3\u624b\u53bb\u7406\u53d1\u7684\u3002<\/p>\n

\u6545\u6b64\uff0c\u77e2\u91cf\u79efC\u4e4b\u955c\u50cfC’\u7684\u65b9\u5411\uff0c\u53ea\u80fd\u7531\u4eba\u4e4b\u955c\u50cf\u7528\u5176\u5de6\u624b\u53bb\u786e\u5b9a\uff0c\u800c\u51b3\u4e0d\u662f\u4eba\u5728\u60f3\u8c61\u4e2d\u628a\u81ea\u5df1\u7684\u53f3\u624b\u201c\u4f38\u8fdb\u201d\u955c\u5b50\u91cc\u53bb\u6807\u5b9a\u7684\u3002<\/p>\n

\u5728\u672c\u6587\u4e2d\uff0c\u6211\u8fd8\u5c06\u901a\u8fc7\u53e6\u4e00\u79cd\u65b9\u5f0f\uff0c\u4e3a\u77e2\u91cf\u79efC\u6458\u6389\u5176\u88ab\u51a4\u6789\u6234\u4e0a\u7684\u8d0b\u54c1\u5e3d\u5b50\u3002<\/p>\n

\u73b0\u6709\u7a7a\u95f4\u53cd\u6f14\u7406\u8bba\u8ba4\u5b9a\uff0c\u5728\u7a7a\u95f4\u53cd\u6f14\u4e0b\uff0c\u6709\u5173\u7269\u7406\u91cf\u7684\u53d8\u6362\u6cd5\u5219\u662f\uff1a\u77e2\u91cf\uff08\u5982A\u548cB\uff09\u8981\u6539\u53d8\u7b26\u53f7\uff1b\u800c\u8d0b\u77e2\u91cf\uff08\u5982\u77e2\u91cf\u79efC= AxB\uff09\u5219\u5177\u91d1\u521a\u4e0d\u8d25\u4e4b\u8eab\uff0c\u4fdd\u6301\u4e0d\u53d8\u30022025\u5e741\u67087\u65e5\uff0c\u5f90\u4e00\u9e3f\u6559\u6388\u5728\u53d1\u7ed9\u6211\u7684\u7535\u5b50\u90ae\u4ef6\u4e2d\u91cd\u7533\u4e86\u4e0a\u8ff0\u8ba4\u5b9a\uff1a\u201cThen angular momentum, vector r cross vector p, clearly does not flip sign underspace inversion unlike a true vector.(\u4f5c\u4e3a\u77e2\u91cf r \u548c\u77e2\u91cf p \u7684\u77e2\u91cf\u79ef\u7684\u89d2\u52a8\u91cf\uff0c\u663e\u7136\u4e0d\u4f1a\u50cf\u771f\u77e2\u91cf\u90a3\u6837\uff0c\u5728\u7a7a\u95f4\u53cd\u6f14\u4e0b\u6539\u53d8\u7b26\u53f7)\u201d<\/p>\n

\u90a3\u4e48\uff0c\u4e0a\u8ff0\u8ba4\u5b9a\u5230\u5e95\u5bf9\u4e0d\u5bf9\u5462\uff1f\u8ba9\u6211\u4eec\u5256\u6790\u5982\u4e0b\uff1a<\/p>\n

\u7531\u9644\u5f55\u4e00\u6211\u4eec\u77e5\u9053\uff0c\u4e09\u4e2a\u6709\u5e8f\u77e2\u91cf\u7ec4A\u3001B\u3001C \u7ec4\u6210\u53f3\u624b\u7cfb\uff0c\u5373\u6709C= AxB\u3002
\n\u6211\u4eec\u8ba4\u4e3a\uff0c\u5982\u679c\u4e0a\u8ff0\u6709\u5e8f\u77e2\u91cf\u7ec4\u7ecf\u7a7a\u95f4\u53cd\u6f14\u540e\u6240\u5f62\u6210\u7684\u6709\u5e8f\u77e2\u91cf\u7ec4 A’\u3001 B’\u3001 C’\uff0c\u4f9d\u7136\u7ec4\u6210\u53f3\u624b\u7cfb\uff0c\u5373\u6709C’ =A’x B’ \uff0c\u5219A\u548cB\u4ecd\u4e3a\u77e2\u91cf\uff0c\u800cC\u5219\u4e3a\u8d0b\u77e2\u91cf\u3002\u56e0\u4e3a\u8fd9\u65f6\u6709<\/p>\n

C’= A’xB’<\/strong>
\n= (-A x-B)<\/strong>
\n= A xB<\/strong>
\n= C.<\/strong><\/p>\n

(1)
\nC\u4fdd\u6301\u4e0d\u53d8\uff0c\u56e0\u800cC\u662f\u8d0b\u77e2\u91cf\u3002
\n\u7136\u800c\uff0c\u5982\u679c\u4e09\u4e2a\u6709\u5e8f\u77e2\u91cf\u7ec4 A’\u3001 B’\u3001 C’ \u7ec4\u6210\u4e86\u5de6\u624b\u7cfb\uff0c\u5373\u6709C’ =A’x B’\uff0c\u5219A\u3001B\u3001C\u5747\u4e3a\u77e2\u91cf\u3002\u56e0\u4e3a\u8fd9\u65f6\u6709<\/p>\n

C’ =B’x A’<\/strong>
\n= (-B)x(-A)<\/strong>
\n =BxA<\/strong>
\n=-( AxB)<\/strong>
\n=-C .<\/strong><\/p>\n

\"\"
\n\u56fe3 A\u3001B\u3001C\u7684\u955c\u50cf A’\u3001 B’\u3001C’ \u7ec4\u6210\u5de6\u624b\u7cfb<\/p>\n

(2)<\/p>\n

\u90a3\u4e48\uff0c\u4e09\u4e2a\u6709\u5e8f\u77e2\u91cf\u7ec4 A’\u3001B’\u3001 C’ \u5230\u5e95\u7ec4\u6210\u4e86\u4ec0\u4e48\u7cfb\u5462\uff1f \u6211\u4eec\u8ba4\u4e3a\uff0c\u89e3\u51b3\u6b64\u4e8b\u552f\u4e00\u53ef\u9760\u7684\u529e\u6cd5\u662f\uff1a\u5bf9\u955c\u50cf\u8fdb\u884c\u8001\u5b9e\u89c2\u5bdf\uff0c\u5e76\u4f5c\u51fa\u5982\u5b9e\u63cf\u8ff0\uff08\u56fe3\uff09\u3002
\n\u4e0d\u770b\u4e0d\u6e05\u695a\uff0c\u4e00\u770b\u5c31\u660e\u4e86\uff1a\u4e09\u4e2a\u6709\u5e8f\u77e2\u91cf\u7ec4 A’\u3001 B’\u3001 C’ \u7ec4\u6210\u4e86\u5de6\u624b\u7cfb\uff01\u8fd9\u4e00\u4e8b\u5b9e\uff0c\u4e5f\u53ef\u7b49\u4ef7\u5730\u8868\u8ff0\u4e3a\uff1a\u4e09\u4e2a\u6709\u5e8f\u77e2\u91cf\u7ec4B’\u3001\u00a0 A’\u3001 C’ \u7ec4\u6210\u4e86\u53f3\u624b\u7cfb\u3002
\n\u56e0\u6b64\uff0c\u6211\u4eec\u7684\u7ed3\u8bba\u662f\uff1aA\u3001B\u3001C\u5747\u4e3a\u77e2\u91cf\uff1b\u73b0\u6709\u7406\u8bba\u4e2d\u5173\u4e8e\u201c\u4e24\u4e2a\u77e2\u91cf\u7684\u77e2\u91cf\u79ef\u662f\u8d0b\u77e2\u91cf\u201d\u7684\u8ba4\u5b9a\uff0c\u662f\u9519\u8bef\u7684\uff1b\u6240\u8c13\u8d0b\u77e2\u91cf\uff0c\u662f\u5b8c\u5168\u4e0d\u8be5\u51fa\u73b0\u7684\u865a\u5984\u6982\u5ff5\u3002
\n\u5176\u5b9e\uff0c\u4ece\u56fe3\u4e2d\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u66f4\u4e3a\u7b80\u660e\u76f4\u767d\u3001\u7684\u89c2\u5bdf\u4e8b\u5b9e\uff1a\u77e2\u91cf\u79efC\u7684\u955c\u50cfC’ \u7684\u65b9\u5411\uff0c\u4e0eC\u7684\u65b9\u5411\u5b8c\u5168\u4e00\u6837\uff0c\u90fd\u662f\u5782\u76f4\u5411\u4e0a\u3002\u7531\u6b64\u5373\u53ef\u65ad\u8a00\uff1a\u77e2\u91cf\u79efC\u662f\u771f\u77e2\u91cf\uff0c\u800c\u51b3\u4e0d\u662f\u8d5d\u77e2\u91cf\u3002
\n\u65e2\u7136\u8d0b\u77e2\u91cf\u662f\u865a\u5984\u7684\uff0c\u90a3\u4e48\uff0c\u73b0\u6709\u7406\u8bba\u53c8\u662f\u51ed\u4ec0\u4e48\u628a\u77e2\u91cf\u79efC\u8ba4\u5b9a\u4e3a\u8d0b\u77e2\u91cf\u7684\u5462\uff1f\u5b9e\u8bdd\u5b9e\u8bf4\uff0c\u8fd9\u662f\u4e00\u4e2a\u6270\u6211\u591a\u5e74\u3001\u4ee4\u6211\u8111\u75bc\u7684\u95ee\u9898\u3002\u4e0d\u8fc7\uff0c\u6211\u603b\u7b97\u5e78\u8fd0\u5730\u627e\u5230\u4e86\u7b54\u6848\u3002\u4e00\u4e2a\u539f\u59d4\u5c31\u662f\uff1a\u4eba\u4eec\u5728\u60f3\u8c61\u4e2d\u628a\u81ea\u5df1\u7684\u53f3\u624b\u4f38\u8fdb\u955c\u5b50\u91cc\u53bb\u786e\u5b9a C’\u7684\u65b9\u5411\u3002\u53e6\u4e00\u4e2a\u539f\u59d4\uff0c\u5219\u662f\u6765\u81ea\u4e0b\u9762\u4f3c\u4e4e\u4e00\u76ee\u4e86\u7136\u3001\u5145\u6ee1\u5e95\u6c14\u7684\u63a8\u5bfc\uff1a\u56e0\u4e3aA\u3001B\u4e3a\u77e2\u91cf\uff0c\u6240\u4ee5\u5728\u7a7a\u95f4\u53cd\u6f14\u4e0b\u6709
\nA’=- A , B’=-B.\u00a0 \u00a0(3)<\/strong>
\n\u800c
\nC =AxB.\u00a0 \u00a0(4)<\/strong><\/p>\n

\u6240\u4ee5\uff0c\u7a7a\u95f4\u53cd\u6f14\u4e0b\u5fc5\u6709
\nC’ =A’xB’<\/strong>
\n=(-A)x(-B)<\/strong>
\n= AxB<\/strong>
\n= C.\u00a0 (5)<\/strong><\/p>\n

\u6839\u636e\u5f0f(5)\uff0c\u5c31\u80fd\u677f\u4e0a\u9489\u9489\u5730\u8ba4\u5b9a\uff1a\u77e2\u91cf\u79efC\u4e3a\u8d0b\u77e2\u91cf\u3002\u81f3\u4e8e\u5f80\u955c\u5b50\u91cc\u77a7\u77a7\u80fd\u89c1\u5230\u4ec0\u4e48\u8fd9\u7c7b\u7410\u4e8b\uff0c\u8fd8\u6709\u5fc5\u8981\u53bb\u5206\u5fc3\u3001\u53bb\u601d\u8651\u5417\uff1f\uff01
\n\u7b2c\u4e00\u4e2a\u4eba\u8fd9\u4e48\u505a\u4e86\uff0c\u540e\u9762\u7684\u4eba\u4e5f\u8fd9\u4e48\u505a\u3002\u8c01\u4e5f\u6ca1\u53bb\u518d\u60f3\u4e00\u60f3\uff1aC ‘=A’x B’\u5230\u5e95\u5bf9\u4e0d\u5bf9\uff1f\u5b83\u7684\u4f9d\u636e\u53c8\u4f55\u5728\uff1f<\/p>\n

\u7b2c\u4e00\u4e2a\u4eba\u65e0\u5fc3\u51fa\u4e86\u9519\uff0c\u8bef\u4ee5\u4e3a C ‘=A’x B’\u662f\u5bf9\u7684\uff1b\u540e\u9762\u7684\u4eba\uff0c\u5219\u518d\u4e5f\u672a\u66fe\u52a0\u4ee5\u5ba1\u5bdf\uff0c\u628a\u5176\u4f5c\u4e3a\u6bcb\u5eb8\u7f6e\u7591\u7684\u5b9a\u8bba\u63a5\u53d7\u81f3\u4eca\u3002
\n\u73b0\u5728\uff0c\u6211\u4eec\u5148\u662f\u70b9\u660e\uff1aC ‘=A’x B’\u51e0\u4f55\u610f\u4e49\uff0c\u4e43\u662f\u4e09\u4e2a\u6709\u5e8f\u77e2\u91cf\u7ec4 A’\u3001B’\u3001C’ \u7ec4\u6210\u53f3\u624b\u7cfb\u3002\u63a5\u7740\uff0c\u6211\u4eec\u5224\u660e\uff1a\u5728\u7a7a\u95f4\u53cd\u6f14\u4e0b\uff0c A’\u3001 B’\u3001 C’\u5e76\u672a\u7ec4\u6210\u53f3\u624b\u7cfb\uff0c\u800c\u662f\u7ec4\u6210\u4e86\u5de6\u624b\u7cfb\uff0c\u5373\u6709C’ =B’x A’\u3002\u5176\u5b9e\uff0c\u5de6\u53f3\u53d8\u6362\uff08\u7a7a\u95f4\u53cd\u6f14\uff09\u7684\u56fa\u6709\u9b54\u529b\uff0c\u5c31\u662f\u5c06\u201c\u53f3\u201d\u7edf\u7edf\u53d8\u6210\u201c\u5de6\u201d\uff1b\u628a\u201c\u5de6\u201d\u7edf\u7edf\u53d8\u6210\u201c\u53f3\u201d\u3002\u56e0\u6b64\uff0cA\u3001B\u3001C\u7ec4\u6210\u7684\u53f3\u624b\u7cfb\u88ab\u53d8\u6210 A’\u3001 B’\u3001 C’\u7ec4\u6210\u7684\u5de6\u624b\u7cfb\uff0c\u4e43\u662f\u9898\u4e2d\u5e94\u6709\u4e4b\u4e49\u3002\u6700\u540e\uff0c\u6211\u4eec
\n\u7684\u7ed3\u8bba\u662f\uff1a\u5728\u7a7a\u95f4\u53cd\u6f14\u4e0b\uff0c\u6709\u4e14\u53ea\u80fd\u6709<\/strong><\/p>\n

C’ =B’x A’<\/strong>
\n=(- B)x(- A)<\/strong>
\n=BxA<\/strong>
\n=-(AxB)<\/strong>
\n=-C .\u00a0 \u00a0 (6)<\/strong><\/p>\n

\u4ea6\u5373\u77e2\u91cf\u79ef C=<\/strong> AxB\uff0c\u4e43\u662f\u5982\u5047\u5305\u6362\u7684\u771f\u77e2\u91cf\u3002<\/p>\n

\u4e0d\u8fc7\uff0c\u5e94\u5f53\u516c\u6b63\u5730\u8bf4\uff0c\u77e2\u91cf\u79efC\u867d\u88ab\u6234\u4e0a\u4e86\u8d0b\u54c1\u5e3d\u5b50\uff0c\u4f46\u5374\u5e76\u6ca1\u53d7\u51b7\u9047\uff0c\u6ca1\u88ab\u6253\u5165\u51b7\u5bab\u3002\u76f8\u53cd\uff0c\u4f5c\u4e3a\u8d0b\u77e2\u91cf\u7684\u77e2\u91cf\u79efC\u50cf\u88ab\u8d4b\u4e88\u4e86\u7279\u6b8a\u4f7f\u547d\u4f3c\u7684\uff0c\u6210\u4e86\u7a7a\u95f4\u53cd\u6f14\u7269\u7406\u5b66\u7684\u4e00\u5757\u91cd\u8981\u57fa\u77f3\u3002\u522b\u7684\u4e0d\u8bf4\uff0c\u7531\u8d0b\u77e2\u91cf\u6d3e\u751f\u51fa\u6765\u7684\u8d0b\u6807\u91cf\uff0c\u5c31\u662f\u4e00\u5757\u4e0d\u53ef\u591a\u5f97\u7684\u9999\u997d\u997d\uff1a\u8d0b\u6807\u91cf\u65e2\u662f\u674e\u653f\u9053\u3001\u6768\u632f\u5b81\u83b7\u8bfa\u5956\u8bba\u6587\u7684\u6838\u5fc3\u6982\u5ff5\u548c\u7acb\u8bba\u4f9d\u636e\uff0c\u53c8\u662f\u5434\u5065\u96c4\u5c0f\u7ec4\u8d1d\u5854\u8870\u53d8\u5b9e\u9a8c\u7684\u5173\u952e\u6d4b\u91cf\u9879\u3002
\n\u5c3d\u7ba1\u5982\u6b64\uff0c\u6211\u5fc3\u76ee\u4e2d\u597d\u7aef\u7aef\u7684\u771f\u54c1\u6210\u4e86\u8d0b\u54c1\uff0c\u5bf9\u6211\u6765\u8bf4\uff0c\u5f88\u96be\u8f7b\u6613\u4e0d\u5f53\u56de\u4e8b\u3002\u4f5c\u4e3a\u4e00\u4e2a\u559c\u6b22\u8f83\u771f\u7684\u4eba\uff0c\u6211\u76f8\u4fe1\uff1a\u5047\u7684\u771f\u4e0d\u4e86\uff0c\u771f\u7684\u4e5f\u5047\u4e0d\u4e86\u3002\u4e00\u6837\u4e1c\u897f\uff0c\u662f\u771f\u662f\u5047\uff0c\u7406\u5e94\u5206\u6e05\uff0c\u4e0d\u5e94\u5f04\u9519\u3002<\/p>\n

2025 \u5e743\u670823\u65e5 \u521d\u7a3f
\n2025 \u5e744\u670801\u65e5 \u4fee\u6539
\n2025 \u5e745\u670818\u65e5 \u5b9a\u7a3f<\/p>\n

\u53c2\u8003\u6587\u732e\uff1a<\/strong><\/p>\n

[1]\u6a0a\u6620\u5ddd\u7b49. \u9ad8\u7b49\u6570\u5b66\u8bb2\u4e49\u4e0a\u518c[M]. \u5317\u4eac\uff1a\u4eba\u6c11\u6559\u80b2\u51fa\u7248\u793e\uff0c1964\uff1a127.
\n[2]\u6c5f\u68cb\u751f. \u955c\u4e2d\u4e4b\u6838\u7684\u65cb\u8f6c\u65b9\u5411\u5e76\u672a\u53cd\u8f6c\u2014\u2014\u4e0e\u5f90\u4e00\u9e3f\u6559\u6388\u5546\u69b7.2025\u5e741\u670828\u65e5\u9996\u53d1\u4e8e\u7f51\u520a\u300a\u5149\u4f20\u5a92\u300b.\u81f4\u8c22\uff1a\u6587\u4e2d\u56fe1\u548c\u56fe2\uff0c\u662f\u7531\u6c5f\u67ab\u5148\u751f\u6240\u7ed8\u3002<\/p>\n

\u9644\u5f55\u4e00<\/p>\n

\u4e24\u77e2\u91cf\u7684\u77e2\u91cf\u79ef\u4e4b\u5b9a\u4e49<\/strong><\/p>\n

\u7531\u4e24\u77e2\u91cfA\u548cB\u4f5c\u51fa\u4e00\u4e2a\u65b0\u77e2\u91cfC\uff0c\u4f7f\u77e2\u91cfC\u6ee1\u8db3\u4e0b\u5217\u4e09\u4e2a\u6761\u4ef6\uff1a
\n(1) \u77e2\u91cfC\u7684\u6a21C \u7b49\u4e8e sin( , )A B AB \u3002\u8fd9\u5c31\u662f\u8bf4\uff0c\u77e2\u91cfC\u7684\u6a21\u5728\u6570\u503c\u4e0a\u7b49\u4e8e\u4ee5\u4e24\u77e2\u91cfA\u548cB\u4e3a\u4e24\u8fb9\u7684\u5e73\u884c\u56db\u8fb9\u5f62\u7684\u9762\u79ef\uff1b
\n(2) \u77e2\u91cfC\u540c\u65f6\u5782\u76f4\u4e8e\u77e2\u91cfA\u548cB\uff0c\u56e0\u6b64\uff0c\u77e2\u91cfC\u5782\u76f4\u4e8e\u77e2\u91cfA\u548cB\u6240\u51b3\u5b9a\u7684\u5e73\u9762\uff1b
\n(3) \u77e2\u91cfC\u7684\u6b63\u5411\u6309\u7167\u201c\u53f3\u624b\u6cd5\u5219\u201d\u6765\u786e\u5b9a\u3002\u8fd9\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u5c06\u4e09\u4e2a\u77e2\u91cfA\u3001B\u548cC\u9644\u7740\u4e8e\u5171\u540c\u7684\u8d77\u70b9\uff0c\u628a\u53f3\u624b\u7684\u62c7\u6307\u987a\u7740A\u7684\u65b9\u5411\uff0c\u98df\u6307\u987a\u7740B\u7684\u65b9\u5411\uff0c\u5219C\u987a\u7740\u4e2d\u6307\u7684\u65b9\u5411\uff08\u56fe7.17\uff09\u3002\u8fd9\u6837\u987a\u5e8f\u7684\u4e09\u4e2a\u6709\u5e8f\u77e2\u91cf\u7ec4A\u3001B\u3001C\u5728\u4ee5\u540e\u79f0\u4e3a\u7ec4\u6210\u53f3\u624b\u7cfb\u3002
\n\u8fd9\u6837\uff0c\u4e0a\u8ff0\u77e2\u91cfC\uff0c\u5c31\u53eb\u4f5c\u77e2\u91cfA\u4e0e\u77e2\u91cfB\u7684\u77e2\u91cf\u79ef\uff0c\u5e76\u7528\u8bb0\u53f7 \uf0b4 AxB\u6765\u8868\u793a\uff0c\u5373C=<\/strong> AxB.<\/p>\n

\"\"<\/p>\n

\u56fe 7.17<\/p>\n

\u9644\u5f55\u4e8c<\/p>\n

\u77e2\u91cf\u79ef\u7684\u57fa\u672c\u6027\u8d28<\/strong><\/p>\n

\"\"<\/p>\n

(1)\u5f53\u4e14\u4ec5\u5f53\u4e24\u77e2\u91cf\u4e2d\u4e4b\u4e00\u4e3a\u96f6\u77e2\u91cf\u6216\u4e24\u77e2\u91cf\u5e73\u884c\u65f6\uff0c\u5176\u77e2\u91cf\u79ef\u4e3a\u96f6\u3002
\n(2)\u77e2\u91cf\u79ef\u5bf9\u4e8e\u56e0\u5b50\u7684\u5bf9\u8c03\u8981\u6539\u53d8\u7b26\u53f7\uff0c\u5c31\u662fBx A=-(Ax B ).<\/strong>
\n(3)\u77e2\u91cf\u7684\u77e2\u91cf\u79ef\u4e0e\u6570\u91cf\u76f8\u4e58\u6709\u7ed3\u5408\u5f8b\u7684\u6027\u8d28\uff0c\u5373A B A B , (\u89c1\u56fe )=A B A B .
\n(4)\u77e2\u91cf\u7684\u77e2\u91cf\u79ef\u5177\u6709\u5206\u914d\u5f8b\u7684\u6027\u8d28\uff0c\u5373(A+B)x C =(Ax C)+( B xC) .<\/p>\n

\uff08\u9644\u5f55\u4e00\u548c\u9644\u5f55\u4e8c\u8f7d\u53c2\u8003\u6587\u732e[1]\u7b2c127-129\u9875\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"

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