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\u4e09\u89d2\u5f62\u7684\u5224\u5b9a\u65b9\u6cd5\uff1a<\/p>\n
1\u3001\u4e09\u89d2\u5f62\u4efb\u610f\u4e24\u8fb9\u4e4b\u548c\u5927\u4e8e\u7b2c\u4e09\u8fb9\u3002<\/p>\n
\u8fd9\u662f\u6700\u57fa\u672c\u7684\u65b9\u6cd5\uff0c\u4e5f\u662f\u6700\u5bb9\u6613\u7406\u89e3\u7684\u65b9\u6cd5\u3002\u7b80\u5355\u6765\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u4e09\u89d2\u5f62\u7684\u4efb\u610f\u4e24\u8fb9\u4e4b\u548c\u5c0f\u4e8e\u7b2c\u4e09\u8fb9\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u5c31\u4e0d\u6210\u7acb\u3002\u53cd\u4e4b\uff0c\u5982\u679c\u4efb\u610f\u4e24\u8fb9\u4e4b\u548c\u5927\u4e8e\u7b2c\u4e09\u8fb9\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u5c31\u6210\u7acb\u3002<\/p>\n
2\u3001\u6d77\u4f26\u516c\u5f0f\u3002<\/p>\n
\u6d77\u4f26\u516c\u5f0f\u662f\u4e00\u4e2a\u6c42\u9762\u79ef\u7684\u516c\u5f0f\uff0c\u53ef\u4ee5\u901a\u8fc7\u5b83\u6765\u786e\u5b9a\u4e00\u4e2a\u4e09\u89d2\u5f62\u662f\u5426\u5b58\u5728\u3002<\/p>\n
\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n
S=\u221ap\uff08p-a\uff09\uff08p-b\uff09\uff08p-c\uff09\uff0c\u5176\u4e2d\uff0ca\u3001b\u3001c\u5206\u522b\u4e3a\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\u957f\uff0cp\u4e3a\u534a\u5468\u957f\u3002<\/p>\n
\u5982\u679c\u5229\u7528\u8fd9\u4e2a\u516c\u5f0f\u6c42\u5f97\u7684\u9762\u79ef\u4e3a0\uff0c\u5219\u610f\u5473\u7740\u8fd9\u4e2a\u4e09\u89d2\u5f62\u4e0d\u5b58\u5728\u3002<\/p>\n
3\u3001\u6b63\u5f26\u5b9a\u7406\u3002<\/p>\n
\u6b63\u5f26\u5b9a\u7406\u662f\u63cf\u8ff0\u4e09\u89d2\u5f62\u5185\u90e8\u89d2\u5ea6\u548c\u8fb9\u957f\u4e4b\u95f4\u7684\u5173\u7cfb\u7684\u5b9a\u7406\uff0c\u53ef\u4ee5\u901a\u8fc7\u5b83\u6765\u786e\u5b9a\u4e00\u4e2a\u4e09\u89d2\u5f62\u662f\u5426\u5b58\u5728\u3002<\/p>\n
\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n
a\/sinA=b\/sinB=c\/sinC.<\/p>\n
\u5176\u4e2d\uff0ca\u3001b\u3001c\u5206\u522b\u4e3a\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\u957f\uff0cA\u3001B\u3001C\u5206\u522b\u4e3a\u5bf9\u5e94\u7684\u5185\u89d2\u5ea6\u6570\u3002<\/p>\n
\u5982\u679c\u65b9\u7a0b\u7684\u5de6\u4fa7\u5927\u4e8e\u53f3\u4fa7\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u5c31\u5b58\u5728\u3002<\/p>\n
4\u3001\u4f59\u5f26\u5b9a\u7406\u3002<\/p>\n
\u4f59\u5f26\u5b9a\u7406\u662f\u63cf\u8ff0\u4e09\u89d2\u5f62\u5185\u90e8\u8fb9\u957f\u548c\u89d2\u5ea6\u4e4b\u95f4\u7684\u5173\u7cfb\u7684\u5b9a\u7406\uff0c\u53ef\u4ee5\u901a\u8fc7\u5b83\u6765\u786e\u5b9a\u4e00\u4e2a\u4e09\u89d2\u5f62\u662f\u5426\u5b58\u5728\u3002<\/p>\n
\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n
c2 = a2 + b2 – 2abcosC\uff0c\u5176\u4e2d\uff0ca\u3001b\u3001c\u5206\u522b\u4e3a\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\u957f\uff0cA\u3001B\u3001C\u5206\u522b\u4e3a\u5bf9\u5e94\u7684\u5185\u89d2\u5ea6\u6570\u3002<\/p>\n
\u5982\u679c\u65b9\u7a0b\u7684\u5de6\u4fa7\u5c0f\u4e8e\u7b49\u4e8e\u53f3\u4fa7\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u5c31\u5b58\u5728\u3002<\/p>\n
5\u3001\u89d2\u5ea6\u5224\u5b9a\u6cd5\u3002<\/p>\n
\u6839\u636e\u4e09\u89d2\u5f62\u7684\u5185\u89d2\u548c\u5b9a\u7406\uff0c\u4e09\u89d2\u5f62\u7684\u4e09\u4e2a\u89d2\u5ea6\u7684\u548c\u4e3a180\u5ea6\uff0c\u56e0\u6b64\u5982\u679c\u4e00\u4e2a\u4e09\u89d2\u5f62\u7684\u4e09\u4e2a\u89d2\u5ea6\u4e4b\u548c\u4e0d\u4e3a180\u5ea6\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u5c31\u4e0d\u5b58\u5728\u3002\u53cd\u4e4b\uff0c\u5982\u679c\u4e09\u4e2a\u89d2\u5ea6\u4e4b\u548c\u4e3a180\u5ea6\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u5c31\u53ef\u5b58\u5728\uff0c\u4f46\u8fd8\u9700\u8981\u8fdb\u4e00\u6b65\u5224\u65ad\u662f\u5426\u6ee1\u8db3\u5176\u4ed6\u6761\u4ef6\u3002<\/p>\n
\u4e09\u89d2\u5f62\u7684\u57fa\u672c\u6027\u8d28\uff1a<\/p>\n
\u6027\u8d281\uff1a\u4e09\u89d2\u5f62\u7684\u4e24\u8fb9\u4e4b\u548c\u5927\u4e8e\u7b2c\u4e09\u8fb9\uff1b\u4e24\u8fb9\u4e4b\u5dee\u5c0f\u4e8e\u7b2c\u4e09\u8fb9\u3002\uff08\u4e09\u89d2\u5f62\u8fb9\u7684\u5173\u7cfb\uff09<\/p>\n
\u6027\u8d282\uff1a\u4e09\u89d2\u5f62\u4e09\u4e2a\u5185\u89d2\u7684\u548c\u7b49\u4e8e180\u00b0\uff08\u4e09\u4e2a\u5185\u89d2\u4e4b\u95f4\u7684\u5173\u7cfb\uff09\u3002<\/p>\n
\u6027\u8d283\uff1a\u4e09\u89d2\u5f62\u5177\u6709\u7a33\u5b9a\u6027\u3002<\/p>\n
\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u6027\u8d28\uff1a<\/p>\n
\u6027\u8d281\uff1a\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u4e24\u4e2a\u5e95\u89d2\u76f8\u7b49\uff08\u7b49\u8fb9\u5bf9\u7b49\u89d2\uff09\u3002<\/p>\n
\u6027\u8d282\uff1a\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9876\u89d2\u5e73\u5206\u7ebf\u3001\u5e95\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u3001\u5e95\u8fb9\u4e0a\u7684\u9ad8\u76f8\u4e92\u91cd\u5408\uff0c\u5373\u7b49\u8170\u4e09\u89d2\u5f62\u201c\u4e09\u7ebf\u5408\u4e00\u201d\u3002<\/p>\n
\u7b49\u8fb9\u4e09\u89d2\u5f62\u7684\u6027\u8d28\uff1a<\/p>\n
\u6027\u8d281\uff1a\u7b49\u8fb9\u4e09\u89d2\u5f62\u7684\u4e09\u4e2a\u5185\u89d2\u90fd\u76f8\u7b49\uff0c\u5e76\u4e14\u6bcf\u4e2a\u5185\u89d2\u90fd\u662f60\u00b0\u3002<\/p>\n
\u6027\u8d282\uff1a\u7b49\u8fb9\u4e09\u89d2\u5f62\u6bcf\u6761\u8fb9\u90fd\u5177\u6709\u201c\u4e09\u7ebf\u5408\u4e00\u201d\u7684\u6027\u8d28\uff0c\u5373\u89d2\u5e73\u5206\u7ebf\u3001\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u3001\u8fb9\u4e0a\u7684\u9ad8\u76f8\u4e92\u91cd\u5408\u3002<\/p>\n
\u6027\u8d283\uff1a\u7b49\u8fb9\u4e09\u89d2\u5f62\u662f\u8f74\u5bf9\u79f0\u56fe\u5f62\uff0c\u5bf9\u79f0\u8f74\u662f\u4e09\u8fb9\u7684\u201c\u5782\u76f4\u5e73\u5206\u7ebf\u201d\uff0c\u6570\u91cf\u67093\u6761\u3002<\/p>\n
\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u6027\u8d28\uff1a<\/p>\n
\u6027\u8d281\uff1a\u76f4\u89d2\u4e09\u89d2\u5f62\u4e24\u4e2a\u9510\u89d2\u4e4b\u95f4\u4e92\u4f59\uff08\u5373\u4e24\u4e2a\u89d2\u7684\u548c\u7b49\u4e8e90\u00b0\uff09\u3002<\/p>\n
\u6027\u8d282\uff1a\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e09\u6761\u8fb9\u6ee1\u8db3\u52fe\u80a1\u5b9a\u7406\uff0c\u5373\u4e24\u76f4\u89d2\u8fb9\u5e73\u65b9\u7684\u548c\u7b49\u4e8e\u659c\u8fb9\u7684\u5e73\u65b9\u3002<\/p>\n
\u6027\u8d283\uff1a\u76f4\u89d2\u4e09\u89d2\u5f6230\u00b0\u6240\u5bf9\u7684\u76f4\u89d2\u8fb9\u7684\u957f\u5ea6\u7b49\u4e8e\u659c\u8fb9\u7684\u4e00\u534a\u3002<\/p>\n
\u6027\u8d284\uff1a\u76f4\u89d2\u4e09\u89d2\u5f62\u659c\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u7b49\u4e8e\u659c\u8fb9\u7684\u4e00\u534a\u3002<\/p>\n
\u4e09\u89d2\u5f62\u76f8\u4f3c\u7684\u5224\u5b9a\u5b9a\u7406\uff1a<\/p>\n
1\u3001\u4e09\u8fb9\u6210\u6bd4\u4f8b\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u76f8\u4f3c\u3002<\/p>\n
2\u3001\u4e24\u8fb9\u6210\u6bd4\u4f8b\u4e14\u5939\u89d2\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u76f8\u4f3c\u3002<\/p>\n
3\u3001\u4e24\u89d2\u5206\u522b\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u76f8\u4f3c\u3002<\/p>\n
4\u3001\u4e00\u6761\u76f4\u89d2\u8fb9\u4e0e\u659c\u8fb9\u6210\u6bd4\u4f8b\u7684\u4e24\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u76f8\u4f3c\u3002<\/p>\n
\u63a8\u8bba\uff1a<\/p>\n
1\u3001\u6709\u4e00\u4e2a\u9510\u89d2\u76f8\u7b49\u7684\u4e24\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u76f8\u4f3c\u3002\u5b83\u5176\u5b9e\u662f\u5b9a\u74063\u7684\u4e00\u4e2a\u7279\u4f8b\u3002\u56e0\u4e3a\u76f4\u89d2\u4e09\u89d2\u5f62\u672c\u6765\u5c31\u6709\u4e00\u7ec4\u76f4\u89d2\u76f8\u7b49\uff0c\u56e0\u6b64\u53ea\u9700\u8981\u518d\u589e\u52a0\u4e00\u7ec4\u9510\u89d2\u76f8\u7b49\u7684\u6761\u4ef6\u5c31\u8db3\u591f\u4e86\u3002<\/p>\n
2\u3001\u9876\u89d2\u76f8\u7b49\u7684\u7b49\u8170\u4e09\u89d2\u5f62\u76f8\u4f3c\u3002\u5e95\u89d2\u76f8\u7b49\u7684\u7b49\u8170\u4e09\u89d2\u5f62\u4e5f\u76f8\u4f3c\u3002\u6240\u6709\u7684\u7b49\u8fb9\u4e09\u89d2\u5f62\u90fd\u76f8\u4f3c\u3002\u6240\u6709\u7684\u76f4\u89d2\u7b49\u8170\u4e09\u89d2\u5f62\u4e5f\u90fd\u76f8\u4f3c\u3002<\/p>\n
3\u3001\u76f4\u89d2\u4e09\u89d2\u5f62\u659c\u8fb9\u4e0a\u7684\u9ad8\uff0c\u628a\u76f4\u89d2\u4e09\u89d2\u5f62\u5212\u5206\u6210\u4e24\u4e2a\u4e0e\u539f\u4e09\u89d2\u5f62\u76f8\u4f3c\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\u3002<\/p>\n
4\u3001\u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u4e00\u8fb9\u7684\u76f4\u7ebf\uff0c\u622a\u5176\u5b83\u4e24\u8fb9\uff08\u6216\u4e24\u8fb9\u7684\u5ef6\u957f\u7ebf\uff09\uff0c\u6240\u6784\u6210\u7684\u4e09\u89d2\u5f62\u4e0e\u539f\u4e09\u89d2\u5f62\u76f8\u4f3c\u3002\u8fd9\u4e2a\u5b9a\u7406\u6e90\u4e8e\u201c\u5e73\u884c\u7ebf\u622a\u53d6\u7ebf\u6bb5\u6210\u6bd4\u4f8b\u201d\u7684\u57fa\u672c\u4e8b\u5b9e\u3002<\/p>\n
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