\u597d\u591a\u5bb6\u957f\u5ff5\u53e8\uff1a<\/p>\r\n\r\n\r\n\r\n
\r\n\u201c\u5b69\u5b50\u5728\u5185\u5730\u6570\u5b66\u4e00\u76f4\u90fd\u633a\u597d\u7684\uff0c\u7ed3\u679c\u6765\u9999\u6e2f\u7b2c\u4e00\u4e2a\u5b66\u671f\uff0c\u6570\u5b66\u8003\u5f97\u4e00\u584c\u7cca\u6d82\u3002\u201d<\/p>\r\n\r\n\r\n\r\n
\u201c\u9898\u578b\u770b\u7740\u4e5f\u4e0d\u96be\uff0c\u5c31\u662f\u9898\u76ee\u4e00\u957f\u4e32\u82f1\u6587\uff0c\u5b69\u5b50\u76f4\u63a5\u5c31\u61f5\u4e86\uff0c\u6839\u672c\u6ca1\u6cd5\u4e0b\u624b\u3002\u201d<\/p>\r\n<\/blockquote>\r\n\r\n\r\n\r\n
\u8981\u662f\u4f60\u4e5f\u6709\u8fd9\u79cd\u62c5\u5fc3\uff0c\u5148\u653e\u5bbd\u5fc3\uff1a\u5927\u90e8\u5206\u6765\u9999\u6e2f\u7684\u5185\u5730\u5b69\u5b50\uff0c\u6570\u5b66\u90fd\u4f1a\u7ecf\u5386\u8fd9\u4e48\u4e00\u6bb5 \u201c\u522b\u626d\u671f\u201d<\/strong>\u3002\u4e0d\u662f\u5b69\u5b50\u7a81\u7136\u53d8\u7b28\u4e86\uff0c\u662f\u4ed6\u4e00\u4e0b\u5b50\u8981\u9002\u5e94\u597d\u51e0\u6837\u53d8\u5316\uff1a<\/p>\r\n\r\n\r\n\r\n
\r\n\u4e0a\u8bfe\u4ece\u4e2d\u6587\u6362\u6210\u4e86\u5168\u82f1\u6587<\/p>\r\n\r\n\r\n\r\n
\u9898\u76ee\u8bf4\u6cd5\u4e0d\u4e00\u6837\u4e86<\/p>\r\n\r\n\r\n\r\n
\u5c31\u8fde\u8001\u5e08\u8bb2\u8bfe\u7684\u8282\u594f\u3001\u8bfe\u5802\u4e92\u52a8\u7684\u65b9\u5f0f\u4e5f\u53d8\u4e86<\/p>\r\n<\/blockquote>\r\n\r\n\r\n\r\n\r\n\r\n
\u6240\u4ee5\u54b1\u5148\u522b\u6025\u7740\u7ea0\u7ed3\u6210\u7ee9\uff0c\u5148\u5f04\u660e\u767d\uff1a<\/p>\r\n\r\n\r\n\r\n
\u5b69\u5b50\u5230\u5e95\u5361\u5728\u54ea\u513f\u4e86\uff0c\u5b69\u5b50\u5b66\u201c\u82f1\u6570\u201c\uff0c\u6211\u4eec\u5bb6\u957f\u53c8\u80fd\u5e2e\u4e0a\u4ec0\u4e48\u5fd9\uff1f<\/strong><\/p>\r\n\r\n\r\n\r\n\r\n\r\n
\u00a0 \u5b69\u5b50\u771f\u7684 \u201c\u4e0d\u4f1a\u6570\u5b66\u201d \u5417\uff1f<\/strong><\/p>\r\n\r\n\r\n\r\n
\u591a\u534a\u662f\u5361\u5728\u8fd9\u4e09\u4ef6\u4e8b\u4e0a<\/strong>1\u3001\u8bfe\u5802\u4e0a\u53cd\u5e94\u6162\u534a\u62cd\uff0c\u603b\u8ddf\u4e0d\u4e0a<\/strong><\/p>\r\n\r\n\r\n\r\n
\u8001\u5e08\u5728\u9ed1\u677f\u4e0a\u5199 \u201cperpendicular lines\uff08\u5782\u76f4\u7ebf\uff09\u201d\u201cacute angle\uff08\u9510\u89d2\uff09\u201d\u201cestimate the answer\uff08\u4f30\u7b97\u7b54\u6848\uff09\u201d \u8fd9\u4e9b\u8bcd\u65f6\uff0c\u5185\u5730\u5b69\u5b50\u8111\u5b50\u91cc\u5f97\u5148\u8f6c\u4e2a\u5f2f\uff1a<\/h3>\r\n\r\n\r\n\r\n
\u5148\u7422\u78e8\u8fd9\u8bcd\u5565\u610f\u601d \u2192 \u7ffb\u8bd1\u6210\u4e2d\u6587 \u2192 \u518d\u60f3\u5bf9\u5e94\u7684\u6570\u5b66\u77e5\u8bc6\u70b9<\/strong>\u3002<\/h3>\r\n\r\n\r\n\r\n
\u7b49\u5b69\u5b50\u628a\u8fd9\u6b65 \u201c\u7ffb\u8bd1\u201d \u641e\u5b9a\uff0c\u8001\u5e08\u90fd\u8bb2\u5230\u4e0b\u4e00\u4e2a\u5185\u5bb9\u4e86\u3002<\/h3>\r\n\r\n\r\n\r\n\r\n\r\n
\u6162\u6162\u5c31\u5f62\u6210\u4e86\u00a0\u201c\u8001\u5e08\u8bb2\u7b2c\u4e09\u53e5\uff0c\u5b69\u5b50\u8fd8\u5728\u7422\u78e8\u7b2c\u4e00\u53e5<\/strong>\u201d\u00a0\u7684\u5c40\u9762\u3002<\/h3>\r\n\r\n\r\n\r\n
\u00a0<\/h3>\r\n\r\n\r\n\r\n
2\u3001\u505a\u4f5c\u4e1a\u3001\u8003\u8bd5\u603b\u6ca1\u65f6\u95f4\uff0c\u5377\u5b50\u7b54\u4e0d\u5b8c<\/strong><\/p>\r\n\r\n\r\n\r\n
\u5728\u5185\u5730\u505a\u6570\u5b66\u9898\uff0c\u626b\u4e00\u773c\u9898\u5e72\u5c31\u80fd\u52a8\u7b14\uff1b<\/h3>\r\n\r\n\r\n\r\n
\u5230\u4e86\u9999\u6e2f\uff0c\u4e00\u9053\u9898\u5f97\u8bfb\u4e09\u904d\uff1a<\/h3>\r\n\r\n\r\n\r\n
\r\n\u7b2c\u4e00\u904d\u731c\u4e2a\u5927\u6982\u610f\u601d<\/p>\r\n\r\n\r\n\r\n
\u7b2c\u4e8c\u904d\u786e\u8ba4\u9898\u76ee\u91cc\u7684\u6570\u5b66\u6761\u4ef6\u6ca1\u770b\u9519<\/p>\r\n\r\n\r\n\r\n
\u7b2c\u4e09\u904d\u624d\u80fd\u5f00\u59cb\u60f3\u516c\u5f0f\u3001\u627e\u89e3\u6cd5<\/p>\r\n<\/blockquote>\r\n\r\n\r\n\r\n
\u5f88\u591a\u65f6\u5019\u5377\u5b50\u6ca1\u7b54\u5b8c\uff0c\u4e0d\u662f\u5b69\u5b50\u4e0d\u4f1a\u505a\uff0c\u662f\uff1a<\/h3>\r\n\r\n\r\n\r\n
\u5927\u8111\u4e00\u534a\u7cbe\u529b\u90fd\u7528\u5728 \u201c\u7ffb\u8bd1\u201d \u4e0a\u4e86\uff0c\u771f\u6b63\u7559\u7ed9\u89e3\u9898\u7684\u65f6\u95f4\u88ab\u6324\u6ca1\u4e86<\/strong>\u3002<\/strong><\/h3>\r\n\r\n\r\n\r\n\r\n\r\n
\u667a\u77b3\u6559\u80b2 – \u5b9a\u5236\u65b0\u4e2d\u4ea7\u5bb6\u5ead\u6559\u80b2\u6700\u4f18\u89e3<\/strong>\u9999\u6e2f\u62e9\u6821\u3001\u672c\u5730\u63d2\u73ed\u3001\u56fd\u9645\u63d2\u73ed\u3001\u5b66\u79d1\u8f85\u5bfc<\/strong>
<\/strong>3\u3001\u8d8a\u8003\u8d8a\u6ca1\u4fe1\u5fc3\uff0c\u60c5\u7eea\u5148\u57ae\u4e86<\/strong><\/p>\r\n\r\n\r\n\r\n\u8fde\u7740\u51e0\u6b21\u6d4b\u9a8c\u6210\u7ee9\u4e0d\u7406\u60f3\uff0c\u5b69\u5b50\u5f88\u5bb9\u6613\u7ed9\u81ea\u5df1\u8d34\u6807\u7b7e\uff1a<\/h3>\r\n\r\n\r\n\r\n
\r\n\u201c\u6211\u662f\u4e0d\u662f\u4e0d\u9002\u5408\u6765\u9999\u6e2f\u4e0a\u5b66\uff1f\u201d<\/p>\r\n\r\n\r\n\r\n
\u201c\u6211\u4ee5\u524d\u6570\u5b66\u633a\u597d\u7684\uff0c\u600e\u4e48\u73b0\u5728\u8fd9\u4e48\u5dee\uff1f\u201d<\/p>\r\n<\/blockquote>\r\n\r\n\r\n\r\n
\u8fd9\u65f6\u5019\u8981\u662f\u5bb6\u957f\u53ea\u76ef\u7740\u5206\u6570\u8bf4\u4e8b\u513f\uff0c\u5b69\u5b50\u53ea\u4f1a\u66f4\u614c\u3002\u54b1\u4eec\u5f97\u5148\u6e05\u695a\uff1a\u5b69\u5b50\u4e0d\u662f\u5728\u5b66\u65b0\u77e5\u8bc6\u4e0a\u9047\u632b\uff0c\u662f\u5728\u9002\u5e94\u4e00\u6574\u5957\u5168\u65b0\u7684\u5b66\u4e60\u7cfb\u7edf\u3002<\/strong><\/p>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
\u00a0<\/strong>\u9999\u6e2f\u6559\u80b2\u5c40\u6743\u5a01\u8d44\u6599<\/strong><\/p>\r\n\r\n\r\n\r\n
\u7834\u89e3\u8d74\u6e2f\u63d2\u73ed\u6570\u5b66\u82f1\u6587\u672f\u8bed \u201c\u8bed\u8a00\u5bc6\u7801\u201d<\/strong>1\u3001\u9999\u6e2f\u6559\u80b2\u5c40\u6743\u5a01\u8d44\u6599 –\u00a0\u6570\u5b66\u79d1\u5e38\u7528\u82f1\u6c49\u8f9e\u5f59<\/strong><\/p>\r\n\r\n\r\n\r\n
\u9488\u5bf9\u5185\u5730\u5b69\u5b50\u8d74\u6e2f\u5b66\u6570\u5b66\u7684\u8bed\u8a00\u95ee\u9898\uff0c\u9999\u6e2f\u6559\u80b2\u5c40\u65e9\u5728 2020 \u5e74 7 \u6708\u5c31\u6574\u7406\u53d1\u5e03\u4e86\u4e00\u4efd\u4e13\u4e1a\u4e14\u6743\u5a01\u7684\u300a\u6570\u5b66\u79d1\u5e38\u7528\u82f1\u6c49\u8f9e\u5f59\u300b\uff0c\u8fd9\u4efd\u8d44\u6599\u8db3\u8db3\u6709 30 \u9875\u7bc7\u5e45\uff0c\u662f\u4e13\u95e8\u9002\u914d\u9999\u6e2f\u4e2d\u5c0f\u5b66\u6570\u5b66\u6559\u5b66\u4f53\u7cfb\u7684 \u201c\u672f\u8bed\u5bf9\u7167\u5b9d\u5178\u201d<\/strong>\u3002\u00a0<\/h3>\r\n\r\n\r\n\r\n\r\n\r\n
\u5173\u6ce8\u201c\u667a\u77b3\u54a8\u8be2\u201d\u5e76\u79c1\u4fe1\u201c\u9886\u8d44\u6599\u201d\u514d\u8d39\u9886\u53d6<\/strong><\/p>\r\n\r\n\r\n\r\n
\u4ece\u5185\u5bb9\u8986\u76d6\u6765\u770b\uff0c\u5b83\u51e0\u4e4e\u56ca\u62ec\u4e86\u5c0f\u5b66\u5230\u521d\u9ad8\u4e2d\u5168\u5b66\u6bb5\u7684\u6570\u5b66\u6838\u5fc3\u82f1\u6587\u672f\u8bed\uff0c\u6309\u77e5\u8bc6\u6a21\u5757\u53ef\u5206\u4e3a\u51e0\u5927\u6838\u5fc3\u677f\u5757\uff1a<\/strong><\/p>\r\n\r\n\r\n\r\n
\u00a0<\/h3>\r\n\r\n\r\n\r\n
2 -1 \u57fa\u7840\u6570\u548c\u8ba1\u91cf\u7c7b\uff1a<\/strong><\/p>\r\n\r\n\r\n\r\n
\u5c0f\u5230 \u201c12-hour time\uff0812 \u5c0f\u65f6\u62a5\u65f6\u5236\uff09\u201d\u201c1-digit number\uff08\u4e00\u4f4d\u6570\uff09\u201d \u8fd9\u7c7b\u5165\u95e8\u7ea7\u6570\u5b57\u548c\u65f6\u95f4\u8868\u8fbe\uff0c\u5927\u5230 \u201caddition with carry\uff08\u8fdb\u4f4d\u52a0\u6cd5\uff09\u201d\u201ckilogram (kg)\uff08\u5343\u514b\uff09\u201d \u7b49\u57fa\u7840\u8fd0\u7b97\u4e0e\u5355\u4f4d\u8ba1\u91cf\u672f\u8bed\uff0c\u662f\u5c0f\u5b66\u9636\u6bb5\u5b69\u5b50\u8854\u63a5\u9999\u6e2f\u8bfe\u5802\u7684\u5fc5\u5907\u57fa\u7840\uff1b<\/strong>2- 2\u00a0\u4ee3\u6570\u548c\u5fae\u79ef\u5206\u7c7b\uff1a<\/strong><\/p>\r\n\r\n\r\n\r\n
\u4e0d\u4ec5\u5305\u542b \u201calgebraic expression\uff08\u4ee3\u6570\u5f0f\uff09\u201d\u201cquadratic equation\uff08\u4e8c\u6b21\u65b9\u7a0b\uff09\u201d\u201cbinomial theorem\uff08\u4e8c\u9879\u5f0f\u5b9a\u7406\uff09\u201d \u7b49\u521d\u9ad8\u4e2d\u6838\u5fc3\u4ee3\u6570\u6982\u5ff5\uff0c\u8fd8\u8986\u76d6\u4e86 \u201ccalculus\uff08\u5fae\u79ef\u5206\uff09\u201d\u201cderivative\uff08\u5bfc\u6570\uff09\u201d\u201cintegral\uff08\u79ef\u5206\uff09\u201d \u7b49\u8fdb\u9636\u5fae\u79ef\u5206\u57fa\u7840\u672f\u8bed\uff0c\u6ee1\u8db3\u521d\u9ad8\u4e2d\u4e0d\u540c\u5b66\u6bb5\u7684\u5b66\u4e60\u9700\u6c42\uff1b<\/strong><\/p>\r\n\r\n\r\n\r\n\r\n\r\n
\u5173\u6ce8\u201c\u667a\u77b3\u54a8\u8be2\u201d\u5e76\u79c1\u4fe1\u201c\u9886\u8d44\u6599\u201d\u514d\u8d39\u9886\u53d6<\/strong>2- 3 \u51e0\u4f55\u548c\u56fe\u5f62\u7c7b\uff1a<\/strong><\/p>\r\n\r\n\r\n\r\n
\u4ece \u201c2-D shape\uff08\u5e73\u9762\u56fe\u5f62\uff09\u201d\u201c3-D shape\uff08\u7acb\u4f53\u56fe\u5f62\uff09\u201d \u7684\u57fa\u7840\u5206\u7c7b<\/strong>\uff0c\u5230 \u201cacute triangle\uff08\u9510\u89d2\u4e09\u89d2\u5f62\uff09\u201d\u201ccircumradius\uff08\u5916\u63a5\u5706\u534a\u5f84\uff09\u201d\u201cincentre\uff08\u5185\u5fc3\uff09\u201d \u7b49\u7cbe\u51c6\u7684\u56fe\u5f62\u4e0e\u51e0\u4f55\u91cf\u8868\u8ff0<\/strong>\uff0c\u518d\u5230 \u201cangle between two planes\uff08\u4e24\u5e73\u9762\u7684\u4ea4\u89d2\uff09\u201d \u8fd9\u7c7b\u7a7a\u95f4\u51e0\u4f55\u672f\u8bed\uff0c\u5f7b\u5e95\u89e3\u51b3\u51e0\u4f55\u4e2d\u82f1\u8f6c\u6362\u7684\u75db\u70b9\uff1b<\/strong>2 -4 \u7edf\u8ba1\u548c\u6982\u7387\u7c7b\uff1a<\/strong><\/p>\r\n\r\n\r\n\r\n
\u5305\u542b \u201carithmetic mean\uff08\u7b97\u672f\u5e73\u5747\u6570\uff09\u201d\u201cstandard deviation\uff08\u6807\u51c6\u5dee\uff09\u201d\u201cnormal distribution\uff08\u6b63\u6001\u5206\u5e03\uff09\u201d\u201cpermutation\uff08\u6392\u5217\uff09\u201d\u201ccombination\uff08\u7ec4\u5408\uff09\u201d \u7b49\u5168\u5b66\u6bb5\u7edf\u8ba1\u6982\u7387\u9ad8\u9891\u8bcd\uff0c\u9002\u914d\u9ad8\u5e74\u7ea7\u7edf\u8ba1\u6a21\u5757\u7684\u5b66\u4e60\u4e0e\u5e94\u8bd5\u9700\u6c42\uff1b<\/strong><\/p>\r\n\r\n\r\n\r\n\r\n\r\n
\u5173\u6ce8\u201c\u667a\u77b3\u54a8\u8be2\u201d\u5e76\u79c1\u4fe1\u201c\u9886\u8d44\u6599\u201d\u514d\u8d39\u9886\u53d6<\/strong>2 – 5 \u903b\u8f91\u548c\u65b9\u6cd5\u8bba\u7c7b\uff1a<\/strong><\/p>\r\n\r\n\r\n\r\n
\u8fd8\u6536\u5f55\u4e86 \u201cmathematical induction\uff08\u6570\u5b66\u5f52\u7eb3\u6cd5\uff09\u201d\u201cBayes theorem\uff08\u8d1d\u53f6\u65af\u5b9a\u7406\uff09\u201d\u201cCramer\u2019s rule\uff08\u514b\u83b1\u59c6\u6cd5\u5219\uff09\u201d \u7b49\u6570\u5b66\u65b9\u6cd5\u4e0e\u903b\u8f91\u672f\u8bed\uff0c\u5e2e\u5b69\u5b50\u7406\u89e3\u8bfe\u5802\u4e0a\u7684\u4e13\u4e1a\u89e3\u9898\u601d\u8def\u8868\u8ff0\u3002<\/strong>3\u3001\u50cf\u662f\u4e00\u5957\u9999\u6e2f\u6570\u5b66\u8bfe\u5802\u7684 \u201c\u4e13\u7528\u8bed\u8a00\u624b\u518c\u201d\uff1a<\/strong><\/p>\r\n\r\n\r\n\r\n
\u6709\u4e86\u5b83\uff0c\u5c31\u4e0d\u4f1a\u518d\u4e00\u5934\u96fe\u6c34\uff1a<\/p>\r\n\r\n\r\n\r\n
\u80fd\u6e05\u6670\u77e5\u9053\u5b69\u5b50\u672c\u5b66\u6bb5\u8981\u638c\u63e1\u54ea\u4e9b\u6570\u5b66\u82f1\u6587\u8bcd\uff0c\u5728\u5bb6\u8f85\u5bfc\u65f6\u9047\u5230\u964c\u751f\u8868\u8ff0\u80fd\u5feb\u901f\u67e5\u51c6\u542b\u4e49\uff0c\u4e5f\u80fd\u641e\u61c2\u8001\u5e08\u8bfe\u4e0a\u63d0\u7684\u4e13\u4e1a\u672f\u8bed\u3001\u6559\u6750\u91cc\u7684\u6838\u5fc3\u6982\u5ff5\u3001\u8bd5\u5377\u4e2d\u7684\u9898\u5e72\u5173\u952e\u8bcd\u3002<\/p>\r\n\r\n\r\n\r\n
\u60f3\u83b7\u53d6\u8fd9\u4efd\u5b9e\u7528\u8d44\u6599\uff0c\u53ef\u4ee5\u5173\u6ce8\u201c\u667a\u77b3\u54a8\u8be2\u201d\u5e76\u79c1\u4fe1\u201c\u9886\u8d44\u6599\u201d\u514d\u8d39\u9886\u53d6<\/strong>\uff0c\u5e2e\u5b69\u5b50\u63d0\u524d\u7b51\u7262\u6570\u5b66\u82f1\u6587\u7684\u57fa\u7840\u3002<\/p>\r\n\r\n\r\n\r\n
<\/figure>\r\n\r\n\r\n\r\n \u6bd4\u80cc\u8bcd\u6c47\u66f4\u91cd\u8981\u7684<\/strong><\/p>\r\n\r\n\r\n\r\n
\u662f\u5e2e\u5b69\u5b50\u4e00\u6b65\u6b65\u9002\u5e94<\/strong>1\u3001\u5148\u7ed9\u5b69\u5b50\u4e2a\u5408\u7406\u9884\u671f\uff1a\u9002\u5e94\u671f\u6210\u7ee9\u6ce2\u52a8\u5f88\u6b63\u5e38<\/strong><\/p>\r\n\r\n\r\n\r\n
\u53ef\u4ee5\u8ddf\u5b69\u5b50\u5766\u8bda\u5730\u8bf4\uff1a<\/strong><\/p>\r\n\r\n\r\n\r\n
\r\n
- \u524d 1-3 \u4e2a\u6708\uff0c\u770b\u82f1\u6587\u9898\u76ee\u80af\u5b9a\u4f1a\u6bd4\u4ee5\u524d\u6162\uff1b<\/li>\r\n\r\n\r\n\r\n
- \u8003\u8bd5\u5206\u6570\u53ef\u80fd\u4f1a\u6709\u4e00\u9635\u5b50\u4e0d\u7a33\u5b9a\uff1b<\/li>\r\n\r\n\r\n\r\n
- \u8fd9\u4e0d\u662f\u4f60\u6570\u5b66\u53d8\u5dee\u4e86\uff0c\u662f\u4f60\u5728\u540c\u65f6\u5b66\u4e24\u6837\u4e1c\u897f \u2014\u2014 \u6570\u5b66\u77e5\u8bc6\u548c\u6570\u5b66\u82f1\u6587\uff0c\u6162\u6162\u6765\u5c31\u597d\u3002<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n\r\n\r\n
\u5f53\u5b69\u5b50\u77e5\u9053\u8fd9\u53ea\u662f\u4e2a \u201c\u8fc7\u6e21\u9636\u6bb5\u201d\uff0c\u4e0d\u662f\u81ea\u5df1\u80fd\u529b\u4e0d\u884c\uff0c\u5fc3\u91cc\u4f1a\u8e0f\u5b9e\u5f88\u591a\u3002<\/strong>2\u3001\u5728\u5bb6\u6084\u6084\u5e2e\u5b69\u5b50\u51cf\u8f7b \u201c\u7ffb\u8bd1\u8d1f\u62c5\u201d<\/strong><\/p>\r\n\r\n\r\n\r\n
\u4e0d\u7528\u641e\u5f97\u591a\u6b63\u5f0f\uff0c\u65e5\u5e38\u91cc\u5f88\u591a\u5c0f\u4e8b\u90fd\u80fd\u5e2e\u4e0a\u5fd9\u3002<\/p>\r\n\r\n\r\n\r\n
1\uff09\u505a\u9898\u5148\u5708 \u201c\u6570\u5b66\u5173\u952e\u8bcd\u201d<\/strong><\/p>\r\n\r\n\r\n\r\n
\u6559\u5b69\u5b50\u4e00\u4e2a\u5c0f\u4e60\u60ef\uff1a\u62ff\u5230\u82f1\u6587\u9898\u76ee\uff0c\u5148\u628a\u91cc\u9762\u7684\u6570\u5b66\u6838\u5fc3\u8bcd\u5708\u51fa\u6765\u3002\u6bd4\u5982\u770b\u5230 \u201csum\uff08\u548c\uff09\u201d\u201cdifference\uff08\u5dee\uff09\u201d\uff0c\u5c31\u77e5\u9053\u662f\u8003\u52a0\u51cf\u8fd0\u7b97\uff1b\u770b\u5230 \u201carea\uff08\u9762\u79ef\uff09\u201d\u201cperimeter\uff08\u5468\u754c\uff09\u201d\uff0c\u5c31\u5bf9\u5e94\u5230\u51e0\u4f55\u6a21\u5757\uff1b\u770b\u5230 \u201cprobability\uff08\u6982\u7387\uff09\u201d\u201cfraction\uff08\u5206\u6570\uff09\u201d\uff0c\u5c31\u5f80\u7edf\u8ba1\u548c\u6570\u8bba\u4e0a\u9760\u3002<\/p>\r\n\r\n\r\n\r\n
\u54ea\u6015\u6574\u53e5\u8bdd\u6ca1\u5b8c\u5168\u770b\u61c2\uff0c\u53ea\u8981\u9501\u5b9a\u4e86\u8003\u70b9\uff0c\u5b69\u5b50\u5c31\u4e0d\u4f1a\u90a3\u4e48\u614c\u3002<\/strong><\/p>\r\n\r\n\r\n\r\n
\u5173\u6ce8\u201c\u667a\u77b3\u54a8\u8be2\u201d\u5e76\u79c1\u4fe1\u201c\u9886\u8d44\u6599\u201d\u514d\u8d39\u9886\u53d6\u300a\u6570\u5b66\u79d1\u5e38\u7528\u82f1\u6c49\u8f9e\u5f59\u300b<\/strong>\uff0c\u5e2e\u5b69\u5b50\u63d0\u524d\u7b51\u7262\u6570\u5b66\u82f1\u6587\u7684\u57fa\u7840\u3002<\/p>\r\n\r\n\r\n\r\n\r\n\r\n
\u5173\u6ce8\u201c\u667a\u77b3\u54a8\u8be2\u201d\u5e76\u79c1\u4fe1\u201c\u9886\u8d44\u6599\u201d\u514d\u8d39\u9886\u53d6<\/strong><\/p>\r\n\r\n\r\n\r\n
2\uff09\u751f\u6d3b\u91cc\u968f\u53e3\u5e26\u51e0\u53e5\u6570\u5b66\u82f1\u6587<\/strong><\/p>\r\n\r\n\r\n\r\n
\u4e0d\u7528\u4e13\u95e8\u4e0a\u8bfe\uff0c\u65e5\u5e38\u804a\u5929\u65f6\u987a\u5634\u63d0\u4e00\u63d0\u5c31\u884c\uff1a<\/p>\r\n\r\n\r\n\r\n
\r\n
- \u5012\u679c\u6c41\u65f6\u8bf4 \u201c\u8fd9\u676f\u662f half full\uff08\u534a\u676f\uff09\u201d\uff1b<\/li>\r\n\r\n\r\n\r\n
- \u5207\u62ab\u8428\u65f6\u8bb2 \u201c\u54b1\u4eec\u628a\u5b83\u5206\u6210 four equal parts\uff08\u56db\u7b49\u4efd\uff09\u201d\uff1b<\/li>\r\n\r\n\r\n\r\n
- \u7ed3\u8d26\u65f6\u95ee\u5b69\u5b50 \u201c\u8fd9\u4e24\u4e2a\u4e1c\u897f\u54ea\u4e2a more expensive\uff08\u66f4\u8d35\uff09\u201d\u3002<\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n
\u5b69\u5b50\u591a\u542c\u51e0\u6b21\uff0c\u8fd9\u4e9b\u6570\u5b66\u8bcd\u6c47\u5c31\u4ece \u201c\u964c\u751f\u8bcd\u201d \u53d8\u6210 \u201c\u719f\u9762\u5b54\u201d \u4e86\uff0c\u8bb0\u8d77\u6765\u4e5f\u6ca1\u90a3\u4e48\u8d39\u52b2\u3002<\/strong><\/p>\r\n\r\n\r\n\r\n\r\n\r\n
3\uff09\u9519\u9898\u672c\u591a\u4e00\u680f\uff1a\u8bb0\u8bb0\u5361\u58f3\u7684\u82f1\u6587\u8bcd<\/strong><\/p>\r\n\r\n\r\n\r\n
\u5b69\u5b50\u6574\u7406\u9519\u9898\u65f6\uff0c\u522b\u53ea\u5199 \u201c\u54ea\u91cc\u7b97\u9519\u4e86\u201d\uff0c\u53ef\u4ee5\u52a0\u4e00\u680f\uff1a\u201c\u8fd9\u9053\u9898\u6211\u54ea\u4e2a\u82f1\u6587\u8bcd\u6ca1\u770b\u61c2 \/ \u7406\u89e3\u9519\u4e86\u201d\u3002\u6bd4\u5982 \u201c\u628a circumradius\uff08\u5916\u63a5\u5706\u534a\u5f84\uff09\u5f53\u6210\u4e86 inradius\uff08\u5185\u5207\u5706\u534a\u5f84\uff09\u201d\uff0c\u65f6\u95f4\u4e45\u4e86\uff0c\u5b69\u5b50\u5c31\u77e5\u9053\u81ea\u5df1\u603b\u683d\u5728\u54ea\u4e9b\u8bcd\u4e0a\uff0c\u4e0b\u6b21\u78b0\u5230\u5c31\u80fd\u591a\u7559\u610f\u3002<\/strong>3\u3001\u4e3b\u52a8\u8ddf\u8001\u5e08\u6c9f\u901a\uff0c\u8fd9\u6b65\u5f88\u5173\u952e<\/strong><\/p>\r\n\r\n\r\n\r\n
\u5f88\u591a\u5bb6\u957f\u6015 \u201c\u9ebb\u70e6\u8001\u5e08\u201d\uff0c\u4f46\u5176\u5b9e\u8001\u5e08\u6700\u6015\u7684\u662f\uff1a\u5b69\u5b50\u6709\u56f0\u96be\uff0c\u5374\u6ca1\u4eba\u8bf4\u51fa\u6765<\/strong>\u3002<\/p>\r\n\r\n\r\n\r\n
\u4f60\u53ef\u4ee5\u5e73\u548c\u5730\u8ddf\u6570\u5b66\u8001\u5e08\u8bf4\u6e05\u695a\u51e0\u4ef6\u4e8b\uff1a<\/p>\r\n\r\n\r\n\r\n
\u5b69\u5b50\u5728\u5185\u5730\u7684\u6570\u5b66\u57fa\u7840\u600e\u4e48\u6837\uff0c\u73b0\u5728\u6700\u5927\u7684\u96be\u9898\u662f \u201c\u770b\u4e0d\u61c2\u82f1\u6587\u6570\u5b66\u672f\u8bed\u3001\u8bfb\u4e0d\u61c2\u9898\u5e72\u201d\uff0c\u80fd\u4e0d\u80fd\u9ebb\u70e6\u8001\u5e08\u4e0a\u8bfe\u591a\u628a\u5173\u952e\u8bcd\u5199\u5728\u9ed1\u677f\u4e0a\uff0c\u6216\u8005\u63a8\u8350\u4e9b\u9002\u5408\u65b0\u751f\u7684\u7ec3\u4e60\u8d44\u6599\u3002<\/p>\r\n\r\n\r\n\r\n\r\n\r\n
\u6001\u5ea6\u771f\u8bda\u70b9\uff0c\u5927\u90e8\u5206\u8001\u5e08\u90fd\u4f1a\u613f\u610f\u5e2e\u5fd9\u7684\uff0c\u6bd5\u7adf\u5927\u5bb6\u7684\u76ee\u6807\u90fd\u662f\u8ba9\u5b69\u5b50\u8ddf\u4e0a\u8282\u594f\u3001\u4e0d\u6389\u961f\u30024\u3001\u60c5\u7eea\u5b89\u629a\uff0c\u6bd4\u591a\u5237\u51e0\u5957\u5377\u5b50\u7ba1\u7528<\/strong><\/p>\r\n\r\n\r\n\r\n
\u4e0d\u5c11\u63d2\u73ed\u751f\u5fc3\u91cc\u618b\u7740\u59d4\u5c48\uff0c\u5634\u4e0a\u4e0d\u8bf4\uff0c\u5fc3\u91cc\u53ef\u80fd\u5728\u60f3\uff1a<\/p>\r\n\r\n\r\n\r\n
\u201c\u6211\u90fd\u52aa\u529b\u4e86\uff0c\u600e\u4e48\u8fd8\u662f\u8003\u4e0d\u597d\uff1f\u201d<\/p>\r\n\r\n\r\n\r\n
\u201c\u597d\u50cf\u5c31\u6211\u4e00\u4e2a\u4eba\u8ddf\u4e0d\u4e0a\u8001\u5e08\u7684\u8282\u594f\u201d\u3002<\/p>\r\n\r\n\r\n\r\n\r\n\r\n
\u8fd9\u65f6\u5019\u5bb6\u957f\u505a\u51e0\u4ef6\u5c0f\u4e8b\uff0c\u5c31\u80fd\u7ed9\u5b69\u5b50\u5e95\u6c14\uff1a1\uff09\u770b\u89c1\u5c0f\u8fdb\u6b65\u5c31\u5938\uff1a<\/strong>\u201c\u4f60\u4eca\u5929\u81ea\u5df1\u770b\u61c2\u4e86\u4e24\u9053\u957f\u9898\u5e72\uff0c\u6bd4\u4e0a\u5468\u5f3a\u592a\u591a\u4e86\uff01\u201d<\/strong>
<\/strong>
<\/strong>2\uff09\u5e2e\u5b69\u5b50\u628a\u95ee\u9898\u8bf4\u900f<\/strong>\u201c\u4e0d\u662f\u4f60\u6570\u5b66\u4e0d\u884c\uff0c\u662f\u4f60\u540c\u4e00\u65f6\u95f4\u8981\u5b66\u4e24\u6837\u4e1c\u897f \u2014\u2014\u00a0\u6570\u5b66\u5185\u5bb9\u548c\u6570\u5b66\u82f1\u6587\uff0c\u96be\u5ea6\u672c\u6765\u5c31\u7ffb\u500d\u4e86\u3002\u201d<\/strong>
<\/strong>
<\/strong>3\uff09\u5141\u8bb8\u5b69\u5b50\u6709 \u201c\u6210\u7ee9\u4e0d\u597d\u770b\u201d \u7684\u9636\u6bb5<\/strong>\u8ba9\u4ed6\u77e5\u9053\uff0c\u8fd9\u6bb5\u65f6\u95f4\u53ea\u662f\u8fc7\u6e21\uff0c\u4e0d\u662f\u7ed9\u5b66\u4e60\u80fd\u529b\u4e0b\u7ed3\u8bba\u7684\u65f6\u5019\u3002<\/strong><\/p>\r\n\r\n\r\n\r\n\u5b69\u5b50\u6709\u5b89\u5168\u611f\u4e86\uff0c\u624d\u6562\u4e00\u6b21\u6b21\u53bb\u5c1d\u8bd5\u3001\u53bb\u7a81\u7834\u3002<\/p>\r\n\r\n\r\n\r\n\r\n\r\n
\u8fd9\u4efd\u8bcd\u6c47\u8868<\/strong><\/p>\r\n\r\n\r\n\r\n
\u5230\u5e95\u8be5\u600e\u4e48\u7528\u624d\u4e0d\u8e29\u5751<\/strong><\/p>\r\n\r\n\r\n\r\n
\u518d\u56de\u5230\u9999\u6e2f\u6559\u80b2\u5c40\u90a3\u4efd\u8bcd\u6c47\u8868\uff0c\u5b83\u771f\u4e0d\u662f\u8ba9\u5b69\u5b50\u4e00\u5929\u80cc\u5b8c\u7684\uff0c\u6b63\u786e\u6253\u5f00\u65b9\u5f0f\u662f\uff1a<\/p>\r\n\r\n\r\n\r\n
\r\n\u5bb6\u957f\u5fc3\u91cc\u6709\u5e95\uff1a\u201c\u539f\u6765\u5b69\u5b50\u8fd9\u4e2a\u5b66\u6bb5\u5c31\u8fd9\u4e9b\u6838\u5fc3\u8bcd\uff0c\u8303\u56f4\u662f\u6709\u9650\u7684\uff0c\u4e0d\u7528\u778e\u7126\u8651\u3002\u201d<\/p>\r\n\r\n\r\n\r\n
\u5b69\u5b50\u78b0\u5230\u4e0d\u61c2\u7684\u672f\u8bed\u65f6\uff0c\u6709\u4e2a\u9760\u8c31\u7684\u67e5\u8be2\u53bb\u5904\uff1a\u201c\u67e5\u4e00\u4e0b\u5c31\u77e5\u9053\u8001\u5e08\u8bf4\u7684\u8bcd\u5565\u610f\u601d\u4e86\u3002\u201d<\/p>\r\n\r\n\r\n\r\n
\u505a\u5b66\u4e60\u89c4\u5212\u65f6\u4e0d\u76f2\u76ee\uff1a\u6bd4\u5982\u5c0f\u5b66\u9636\u6bb5\u91cd\u70b9\u8bb0\u6570\u548c\u8ba1\u91cf\u7684\u8bcd\uff0c\u521d\u4e2d\u591a\u76ef\u4ee3\u6570\u3001\u51e0\u4f55\u8bcd\u6c47\uff0c\u9ad8\u4e2d\u518d\u7cfb\u7edf\u8fc7\u4e00\u904d\u7edf\u8ba1\u3001\u6982\u7387\u76f8\u5173\u7684\u672f\u8bed\u3002<\/p>\r\n<\/blockquote>\r\n\r\n\r\n\r\n\r\n\r\n
\u5173\u6ce8\u201c\u667a\u77b3\u54a8\u8be2\u201d\u5e76\u79c1\u4fe1\u201c\u9886\u8d44\u6599\u201d\u514d\u8d39\u9886\u53d6<\/strong><\/p>\r\n\r\n\r\n\r\n
\u628a\u8fd9\u4efd\u8868\u5f53\u6210 \u201c\u5b66\u4e60\u5730\u56fe\u201d\uff0c\u522b\u5f53\u6210\u538b\u5728\u5b69\u5b50\u8eab\u4e0a\u7684 \u201c\u80cc\u8bf5\u4efb\u52a1\u201d\uff0c\u624d\u80fd\u53d1\u6325\u5b83\u7684\u6700\u5927\u4ef7\u503c\u3002<\/strong>\u56de\u5f52\u521d\u5fc3<\/strong><\/p>\r\n\r\n\r\n\r\n
\u54b1\u4eec\u8981\u7684\u662f\u5b69\u5b50\u5728\u65b0\u73af\u5883\u91cc\u7ad9\u7a33\u811a\u8ddf<\/strong>
\u7ed9\u5b69\u5b50\u6362\u4e2a\u5730\u65b9\u4e0a\u5b66\uff0c\u672c\u8eab\u5c31\u662f\u53c8\u671f\u5f85\u53c8\u5fd0\u5fd1\u7684\u4e8b\u513f\u3002
\u6570\u5b66\u8fd9\u79d1\u4e4b\u6240\u4ee5\u5bb9\u6613\u66b4\u9732\u95ee\u9898\uff0c\u662f\u56e0\u4e3a\u5b83\u6bcf\u5929\u90fd\u6709\u4f5c\u4e1a\u8981\u4ea4\uff0c\u8bfe\u5802\u4e0a\u5f97\u5f53\u573a\u7406\u89e3\u3001\u5f53\u573a\u53cd\u5e94\uff0c\u8fd8\u4f1a\u5f88\u5feb\u7528\u5206\u6570\u628a\u5b66\u4e60\u60c5\u51b5\u4f53\u73b0\u51fa\u6765\u3002
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