{"id":36419,"date":"2025-01-11T01:00:15","date_gmt":"2025-01-10T17:00:15","guid":{"rendered":"https:\/\/17aitech.com\/?p=36419"},"modified":"2025-01-11T01:00:15","modified_gmt":"2025-01-10T17:00:15","slug":"%e5%8b%be%e8%82%a1%e5%ae%9a%e7%90%86%e8%bf%98%e8%83%bd%e8%bf%99%e6%a0%b7%e8%af%81%e6%98%8e%ef%bc%9f%e9%ab%98%e4%b8%ad%e7%94%9f%e4%b8%80%e8%bf%9e%e5%8f%91%e7%8e%b010%e7%a7%8d%e8%af%81%e6%98%8e%e6%96%b9","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=36419","title":{"rendered":"\u52fe\u80a1\u5b9a\u7406\u8fd8\u80fd\u8fd9\u6837\u8bc1\u660e\uff1f\u9ad8\u4e2d\u751f\u4e00\u8fde\u53d1\u73b010\u79cd\u8bc1\u660e\u65b9\u6cd5\uff0c\u9676\u54f2\u8f69\u70b9\u8d5e"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-10-30-7\" target=\"_blank\">\u52fe\u80a1\u5b9a\u7406\u8fd8\u80fd\u8fd9\u6837\u8bc1\u660e\uff1f\u9ad8\u4e2d\u751f\u4e00\u8fde\u53d1\u73b010\u79cd\u8bc1\u660e\u65b9\u6cd5\uff0c\u9676\u54f2\u8f69\u70b9\u8d5e<\/a><\/p>\n<section>\n<section>\n<blockquote data-author-name=\"\" data-content-utf8-length=\"0\" data-source-title=\"\" data-type=\"2\" data-url=\"\">\n<section>\n<section>\u8bba\u6587\u5df2\u4e0a\u671f\u520a\uff0c\u6570\u5b66\u5bb6\u8868\u793a\u8d5e\u53f9\u3002<\/section>\n<\/section>\n<\/blockquote>\n<\/section>\n<\/section>\n<section><\/section>\n<section>\u51e0\u5343\u5e74\u8fc7\u53bb\u4e86\uff0c\u52fe\u80a1\u5b9a\u7406\u8fd8\u80fd\u6709\u65b0\u53d1\u73b0\uff1f\u800c\u4e14\u8fd8\u662f\u88ab\u4e24\u4e2a\u9ad8\u4e2d\u751f\u53d1\u73b0\u7684\uff1f<\/section>\n<section><\/section>\n<section>\u8fd9\u4e2a\u4eba\u4eba\u90fd\u4f1a\u7684\u521d\u4e2d\u4e8c\u5e74\u7ea7\u6570\u5b66\u77e5\u8bc6\uff0c\u5728\u5b66\u672f\u9886\u57df\u5c45\u7136\u6709\u4e86\u65b0\u53d1\u5c55\u3002\u672c\u5468\u4e8c\uff0cUCLA \u6570\u5b66\u7ec8\u8eab\u6559\u6388\u3001\u83f2\u5c14\u5179\u5956\u5f97\u4e3b\u9676\u54f2\u8f69\u5728\u793e\u4ea4\u7f51\u7edc\u4e0a\u7684\u4e00\u756a\u70b9\u8d5e\u5f15\u8d77\u4e86\u4eba\u4eec\u7684\u5174\u8da3\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-c40be853995cfc0d54d395727d846d1e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-c40be853995cfc0d54d395727d846d1e.png\"><\/a><\/section>\n<section>\u9676\u54f2\u8f69\u8868\u793a\uff0c\u8fd9\u662f\u4e00\u7bc7\u6709\u8da3\u7684\u8bba\u6587\uff0c\u5728\u7b80\u5355\u63a2\u8ba8\u4e86\u4e24\u79cd\u8bc1\u660e\u662f\u5426\u7b97\u662f\u540c\u4e00\u79cd\u8bc1\u660e\u7684\u8bdd\u9898\u4e4b\u540e\uff0c\u4ed6\u63d0\u9192\u6211\u4eec\uff1a\u5373\u4f7f\u662f\u6700\u53e4\u8001\u548c\u6700\u5b8c\u5584\u7684\u6570\u5b66\u57fa\u7840\u77e5\u8bc6\uff0c\u6709\u65f6\u4e5f\u53ef\u4ee5\u4ece\u65b0\u7684\u89d2\u5ea6\u91cd\u65b0\u5ba1\u89c6\u3002<\/section>\n<section><\/section>\n<section>\u5728\u4e2d\u56fd\uff0c\u5468\u671d\u65f6\u671f\u7684\u5546\u9ad8\u63d0\u51fa\u4e86\u52fe\u80a1\u5b9a\u7406\u7684\u4e00\u4e2a\u7279\u4f8b\uff1a\u300c\u52fe\u4e09\u80a1\u56db\u5f26\u4e94\u300d\u3002\u5728\u897f\u65b9\uff0c\u6700\u65e9\u63d0\u51fa\u5e76\u8bc1\u660e\u6b64\u5b9a\u7406\u7684\u4e3a\u516c\u5143\u524d\u516d\u4e16\u7eaa\u53e4\u5e0c\u814a\u7684\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b66\u6d3e\uff0c\u4ed6\u4eec\u7528\u6f14\u7ece\u6cd5\u8bc1\u660e\u4e86\u76f4\u89d2\u4e09\u89d2\u5f62\u659c\u8fb9\u5e73\u65b9\u7b49\u4e8e\u4e24\u76f4\u89d2\u8fb9\u5e73\u65b9\u4e4b\u548c\u3002\u6240\u4ee5\u8be5\u5b9a\u7406\u4e5f\u88ab\u79f0\u4e3a\u300c\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b9a\u7406\u300d\u3002<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-20995937e437e7153f4fda5ffdda53bf.gif\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-20995937e437e7153f4fda5ffdda53bf.gif\"><\/a><\/section>\n<section>\u52fe\u80a1\u5b9a\u7406\u662f\u4eba\u7c7b\u65e9\u671f\u53d1\u73b0\u5e76\u8bc1\u660e\u7684\u91cd\u8981\u6570\u5b66\u5b9a\u7406\u4e4b\u4e00\uff0c\u81f3\u4eca\u5df2\u6210\u4e3a\u6570\u5b66\u5b9a\u7406\u4e2d\u8bc1\u660e\u65b9\u6cd5\u6700\u591a\u7684\u5b9a\u7406\u4e4b\u4e00 \u2014\u2014 \u4ece\u5fae\u5206\u8bc1\u660e\u5230\u9762\u79ef\u8bc1\u660e\uff0c\u6709\u8d85\u8fc7 400 \u79cd\u8bc1\u660e\u65b9\u6cd5\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d5e663722a0387ea59ec495b05e667d0.gif\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d5e663722a0387ea59ec495b05e667d0.gif\"><\/a><\/section>\n<section>\u4e24\u4f4d\u9ad8\u4e2d\u751f\u4e00\u53e3\u6c14\u53d1\u73b0\u4e86\u5341\u79cd\u65b0\u65b9\u6cd5\uff0c\u5979\u4eec\u662f\u5982\u4f55\u8bc1\u660e\u7684\u5462\uff1f<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-063afdb2376b964f5e992727d85bb950.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-063afdb2376b964f5e992727d85bb950.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u8bba\u6587\u4f5c\u8005\uff0c\u524d\u9ad8\u4e2d\u751f Ne\u2019Kiya Jackson \u548c Calcea Johnson\u3002<\/sup><\/em><\/section>\n<section><\/section>\n<section><strong>\u6570\u5b66\u5bb6\u8d5e\u53f9\uff1a\u5168\u65b0\u601d\u8def<\/strong><\/section>\n<section><\/section>\n<section>\u6545\u4e8b\u8981\u4ece 2022 \u5e74\u8bb2\u8d77\uff0c\u90a3\u5e74\u7f8e\u56fd\u9ad8\u4e2d\u751f Ne\u2019Kiya Jackson \u548c Calcea Johnson \u5728\u56de\u7b54\u6570\u5b66\u7ade\u8d5b\u7684\u4e00\u9053\u52a0\u5206\u9898\u65f6\uff0c\u53d1\u73b0\u4e86\u4e00\u79cd\u8bc1\u660e\u51e0\u5343\u5e74\u5386\u53f2\u52fe\u80a1\u5b9a\u7406\u7684\u65b0\u65b9\u6cd5\uff0c\u4ee4\u8001\u5e08\u4eec\u8d5e\u53f9\u4e0d\u5df2\u3002\u8fd9\u4ec5\u4ec5\u662f\u4e2a\u5f00\u59cb\u3002<\/section>\n<section><\/section>\n<section>\u5979\u4eec\u5199\u9053\uff1a\u300c\u5728 500 \u7f8e\u5143\u5956\u91d1\u7684\u6fc0\u52b1\u4e0b\uff0c\u6211\u4eec\u51b3\u5b9a\u72ec\u7acb\u627f\u62c5\u8fd9\u9879\u4efb\u52a1\u3002\u4e8b\u5b9e\u8bc1\u660e\uff0c\u8fd9\u6bd4\u6211\u4eec\u6700\u521d\u60f3\u8c61\u7684\u8981\u96be\u5f97\u591a\u3002\u4e3a\u4e86\u5f97\u51fa\u4e00\u4e2a\u8bc1\u660e\uff0c\u6211\u4eec\u6bcf\u4e2a\u4eba\u90fd\u82b1\u4e86\u5f88\u591a\u4e2a\u6f2b\u957f\u7684\u591c\u665a\uff0c\u4f46\u90fd\u5931\u8d25\u4e86\u3002\u7ecf\u8fc7\u5927\u7ea6\u4e00\u4e2a\u6708\u7684\u8111\u529b\u52b3\u52a8\uff0c\u6211\u4eec\u6bcf\u4e2a\u4eba\u90fd\u5b8c\u6210\u5e76\u63d0\u4ea4\u4e86\u6211\u4eec\u7684\u5de5\u4f5c\u3002\u6211\u4eec\u9ad8\u4e2d\u7684\u6570\u5b66\u5fd7\u613f\u8001\u5e08 Rich \u5148\u751f\u8ba4\u4e3a\u6211\u4eec\u7684\u8bc1\u660e\u8db3\u591f\u65b0\u9896\uff0c\u53ef\u4ee5\u5728\u6570\u5b66\u4f1a\u8bae\u4e0a\u53d1\u8868\u3002\u6211\u4eec\u5f53\u65f6\u5bf9\u81ea\u5df1\u7684\u5de5\u4f5c\u90fd\u6ca1\u6709\u90a3\u4e48\u81ea\u4fe1\uff0c\u4f46\u6211\u4eec\u8fd8\u662f\u51b3\u5b9a\u7ee7\u7eed\u4e0b\u53bb\u3002\u300d<\/section>\n<section><\/section>\n<section>\u5728\u63a5\u4e0b\u6765\u7684\u4e24\u5230\u4e09\u4e2a\u6708\u91cc\uff0c\u5979\u4eec\u628a\u6240\u6709\u7684\u7a7a\u95f2\u65f6\u95f4\u90fd\u82b1\u5728\u5b8c\u5584\u8fd9\u4e9b\u8bc1\u660e\u4e0a\u3002\u6700\u7ec8\uff0c\u5979\u4eec\u83b7\u5f97\u4e86\u6210\u529f\u3002<\/section>\n<section><\/section>\n<section>\u5979\u4eec\u6240\u5728\u7684\u5b66\u6821\uff0c\u65b0\u5965\u5c14\u826f\u5723\u739b\u4e3d\u5b66\u9662\u7684\u4e00\u540d\u5fd7\u613f\u8005\u9f13\u52b1\u5979\u4eec\u5c06\u8fd9\u4e2a\u6210\u679c\u63d0\u4ea4\u7ed9\u4e13\u4e1a\u4f1a\u8bae\u3002\u5230 2023 \u5e74 3 \u6708\uff0c\u4ed6\u4eec\u6210\u4e3a\u5728\u4e9a\u7279\u5170\u5927\u4e3e\u884c\u7684\u7f8e\u56fd\u6570\u5b66\u5b66\u4f1a\u4e1c\u5357\u5206\u4f1a\u4f1a\u8bae\u4e0a\u53d1\u8a00\u7684\u6700\u5e74\u8f7b\u7684\u4eba\u3002<\/section>\n<section><\/section>\n<section>\u5979\u4eec\u8868\u793a\uff1a\u300c\u4ee4\u6211\u4eec\u60ca\u8bb6\u7684\u662f\uff0c\u6211\u4eec\u7684\u9ad8\u4e2d\u4f5c\u4e1a\u5f97\u5230\u4e86\u8ba4\u771f\u5bf9\u5f85\uff0c\u6211\u4eec\u83b7\u51c6\u5728 2023 \u5e74 3 \u6708\u7684\u7f8e\u56fd\u6570\u5b66\u5b66\u4f1a\u4e1c\u5357\u5206\u4f1a\u4f1a\u8bae\u4e0a\u53d1\u8a00\u3002\u4f5c\u4e3a\u4f1a\u4e0a\u6700\u5e74\u8f7b\u7684\u4eba\u548c\u6700\u5e74\u8f7b\u7684\u6f14\u8bb2\u8005\uff0c\u6211\u4eec\u5f88\u5bb3\u6015\uff0c\u4f46\u6211\u4eec\u77e5\u9053\u8fd9\u662f\u6211\u4eec\u4e4b\u524d\u6240\u6709\u52aa\u529b\u7684\u7ed3\u6676\uff0c\u8fd9\u7ed9\u4e86\u6211\u4eec\u53d1\u8a00\u7684\u4fe1\u5fc3\u3002\u300d<\/section>\n<section><\/section>\n<section>\u5982\u4eca\uff0c\u53bb\u5e74\u5f00\u59cb\u4e0a\u5927\u5b66\u7684 Jackson \u548c Johnson \u53c8\u53d6\u5f97\u4e86\u53e6\u4e00\u9879\u6210\u5c31\uff1a\u5b83\u4eec\u5df2\u7ecf\u5b8c\u6210\u4e86\u4e00\u7bc7\u8be6\u7ec6\u4ecb\u7ecd\u8be5\u65b9\u6cd5\u8bc1\u660e\u7684\u5b66\u672f\u8bba\u6587\uff0c\u65b0\u5de5\u4f5c\u4e8e\u5468\u4e00\u53d1\u8868\u5728\u79d1\u5b66\u671f\u520a\u300a\u7f8e\u56fd\u6570\u5b66\u6708\u520a\u300b\u4e0a\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-643a92c4e4b279f528f7752485892cbb.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-643a92c4e4b279f528f7752485892cbb.png\"><\/a><\/section>\n<ul>\n<li>\n<p>\u8bba\u6587\u6807\u9898\uff1aFive or Ten New Proofs of the Pythagorean Theorem<\/p>\n<\/li>\n<li>\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/www.tandfonline.com\/doi\/full\/10.1080\/00029890.2024.2370240#abstract<\/p>\n<\/li>\n<\/ul>\n<section>Calcea Johnson \u76ee\u524d\u5728\u8def\u6613\u65af\u5b89\u90a3\u5dde\u7acb\u5927\u5b66\u8bfb\u73af\u5883\u5de5\u7a0b\u4e13\u4e1a\uff0cNe\u2019Kiya Jackson \u6b63\u5728\u8def\u6613\u65af\u5b89\u90a3\u6cfd\u7ef4\u5c14\u5927\u5b66\u653b\u8bfb\u836f\u5b66\u535a\u58eb\u5b66\u4f4d\u3002<\/section>\n<section><\/section>\n<section>\u4e0e\u591a\u5e74\u6765\u5386\u4ee3\u6570\u5b66\u5bb6\u4f7f\u7528\u4ee3\u6570\u3001\u51e0\u4f55\u65b9\u5f0f\u89e3\u91ca\u52fe\u80a1\u5b9a\u7406\u7684\u65b9\u5f0f\u4e0d\u540c\uff0cJohnson \u548c Jackson \u4f7f\u7528\u4e09\u89d2\u5b66\u6765\u8bc1\u660e\u5b83 \u2014\u2014 \u4e00\u4e2a\u4e13\u6ce8\u4e8e\u4e09\u89d2\u5f62\u7814\u7a76\u7684\u6570\u5b66\u5206\u652f\u3002<\/section>\n<section><\/section>\n<section>\u4e13\u5bb6\u8ba4\u4e3a Johnson \u548c Jackson \u7684\u65b9\u6cd5\u6781\u5176\u5177\u6709\u6311\u6218\u6027\uff0c\u56e0\u4e3a\u4e09\u89d2\u5b66\u4f5c\u4e3a\u4e00\u4e2a\u9886\u57df\u672c\u8d28\u4e0a\u662f\u57fa\u4e8e\u52fe\u80a1\u5b9a\u7406\uff08\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b9a\u7406\uff09\u7684\u3002\u90a3\u4e48\u4f7f\u7528\u4e09\u89d2\u51fd\u6570\u6765\u8bc1\u660e\u8be5\u5b9a\u7406\u901a\u5e38\u9700\u8981\u6570\u5b66\u5bb6\u6240\u8bf4\u7684\u300c\u5faa\u73af\u8bba\u8bc1\u300d\u3002\u7136\u800c\u6839\u636e\u65b0\u7684\u7814\u7a76\uff0c\u8bc1\u660e\u5e76\u4e0d\u662f\u5faa\u73af\u7684\u3002<\/section>\n<section><\/section>\n<section>\u300c\u6211\u4eec\u5728\u8bc1\u660e\u4e2d\u4f7f\u7528\u7684\u5b9a\u7406\u2026\u2026 \u90fd\u6ca1\u6709\u5047\u8bbe\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b9a\u7406\u662f\u6b63\u786e\u7684\uff0c\u300d\u4f5c\u8005\u5728\u8bba\u6587\u4e2d\u5199\u9053\u3002<\/section>\n<section><\/section>\n<section>\u82f1\u56fd\u5e03\u91cc\u65af\u6258\u5927\u5b66\u6570\u5b66\u5b66\u9662\u540d\u8a89\u6559\u6388 Tom Murdoch \u79f0\u8fd9\u9879\u7814\u7a76\u4ee4\u4eba\u5370\u8c61\u6df1\u523b\uff0c\u300c\u6211\u8ba4\u4e3a\u8fd9\u9879\u7814\u7a76\u7684\u6709\u8da3\u4e4b\u5904\u5728\u4e8e\uff0c\u5f88\u591a\u4eba\u8ba4\u4e3a\u8fd9\u662f\u4e0d\u53ef\u80fd\u7684\u3002\u300d<\/section>\n<section><\/section>\n<section>\u4e09\u89d2\u51fd\u6570\u57fa\u4e8e\u6b63\u5f26\u548c\u4f59\u5f26\uff0c\u5b83\u4eec\u8868\u793a\u4e3a\u76f4\u89d2\u4e09\u89d2\u5f62\u67d0\u4e9b\u957f\u5ea6\u7684\u6bd4\u7387\u3002\u5f88\u5bb9\u6613\u9677\u5165\u5faa\u73af\u8bba\u8bc1\uff0c\u800c\u8fd9\u9879\u7814\u7a76\u7684\u5438\u5f15\u529b\u5728\u4e8e\uff0c\u4ed6\u4eec\u627e\u5230\u4e86\u4e00\u6761\u4f7f\u7528\u6b63\u5f26\u548c\u4f59\u5f26\u7684\u8bba\u8bc1\u8def\u7ebf\uff0c\u540c\u65f6\u5e76\u4e0d\u5047\u8bbe\u6bd5\u8fbe\u54e5\u62c9\u65af\u5b9a\u7406\u662f\u6b63\u786e\u7684\u3002<\/section>\n<section><\/section>\n<section>Johnson \u548c Jackson \u5728\u7814\u7a76\u4e2d\u6982\u8ff0\u4e86\u4f7f\u7528\u4e09\u89d2\u5b66\u8bc1\u660e\u8be5\u5b9a\u7406\u7684\u4e94\u79cd\u65b0\u65b9\u6cd5\uff0c\u4ed6\u4eec\u7684\u65b9\u6cd5\u63ed\u793a\u4e86\u53e6\u5916\u4e94\u79cd\u8bc1\u660e\uff0c\u603b\u5171\u5341\u79cd\u3002\u4e24\u4eba\u5728 2023 \u5e74\u7684\u4f1a\u8bae\u4e0a\u53ea\u5c55\u793a\u4e86\u5176\u4e2d\u4e00\u79cd\u8bc1\u660e\uff0c\u5728\u65b0\u8bba\u6587\u4e2d\uff0c\u8fd8\u6709\u4e5d\u79cd\u662f\u5168\u65b0\u7684\u3002\u8fd9\u91cc\u6211\u4eec\u91cd\u70b9\u6765\u770b\u770b\u5979\u4eec\u7ed9\u51fa\u7684\u4e94\u79cd\u8bc1\u660e\u4ee5\u53ca\u5979\u4eec\u53d1\u73b0\u8fd9\u4e9b\u8bc1\u660e\u65b9\u5f0f\u7684\u601d\u8def\uff0c\u66f4\u591a\u8be6\u60c5\u53ef\u8bbf\u95ee\u539f\u8bba\u6587\u3002<\/section>\n<section><\/section>\n<section><strong>\u52fe\u80a1\u5b9a\u7406\u7684\u4e94\u79cd\u8bc1\u660e<\/strong><\/section>\n<section><\/section>\n<section>\u7531\u4e8e\u524d\u9762\u5df2\u7ecf\u8bc1\u660e\u4e86\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u52fe\u80a1\u5b9a\u7406\uff0c\u56e0\u6b64\u5728\u4e0b\u9762\u4e94\u4e2a\u8bc1\u660e\u7684\u524d\u56db\u4e2a\u4e2d\uff0c\u4f1a\u5047\u8bbe ABC \u662f\u4e00\u4e2a\u975e\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u5176\u4e2d \ud835\udc4e&lt;\ud835\udc4f\uff0c\u4e5f\u5c31\u7b49\u4ef7\u4e8e \ud835\udefc&lt;45\u00b0&lt;\ud835\udefd\u3002\u6839\u636e [\u5f15\u7528 1] \u7684\u4e25\u683c\u8981\u6c42\uff0c\u4e0b\u9762\u6bcf\u4e2a\u8bc1\u660e\u90fd\u5c06\u4ece\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u56fe\u5f62\u5f00\u59cb\u3002<\/section>\n<section><\/section>\n<section><strong>\u7b2c\u4e00\u79cd\u8bc1\u660e<\/strong><\/section>\n<section><strong><br \/><\/strong><\/section>\n<section>\u5728\u7b2c\u4e00\u4e2a\u8bc1\u660e\u4e2d\uff0c\u4ed6\u4eec\u9996\u5148\u662f\u6cbf \u25b3\ud835\udc34\ud835\udc35\ud835\udc36 \u7684 AC \u8fb9\u8fdb\u884c\u7ffb\u6298\uff0c\u5f97\u5230\u4e00\u4e2a\u7b49\u8170\u4e09\u89d2\u5f62 \ud835\udc34\ud835\udc35\ud835\udc35\u2032\u3002<\/section>\n<section><\/section>\n<section>\u73b0\u5728\uff0c\u5982\u56fe 8 \u6240\u793a\uff0c\u57fa\u4e8e \ud835\udc34\ud835\udc35\ud835\udc35\u2032 \u6784\u5efa\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62 \ud835\udc34\ud835\udc35\u2032\ud835\udc37\uff0c\u5176\u4e2d\u76f4\u89d2\u5728 \ud835\udc35\u2032 \u5904\u3002\u7136\u540e\u5728 \u25b3\ud835\udc35\u2032\ud835\udc35\ud835\udc37 \u4e2d\u586b\u5145\u9010\u6b65\u53d8\u5c0f\u7684 \u25b3\ud835\udc34\ud835\udc35\ud835\udc36 \u7684\u76f8\u4f3c\u4e09\u89d2\u5f62\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-542436c048fa66caa55c3853122d4933.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-542436c048fa66caa55c3853122d4933.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 8<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u7531\u4e8e \ud835\udc35\ud835\udc35\u2032 \u7684\u957f\u5ea6\u4e3a 2a\uff0c\u5e76\u4e14\u662f \u25b3\ud835\udc35\u2032\ud835\udc38\ud835\udc35 \u7684\u8f83\u957f\u76f4\u89d2\u8fb9\uff0c\u56e0\u6b64\u8fb9\u7684\u6bd4\u503c a : b : c \u8868\u660e\u8f83\u77ed\u76f4\u89d2\u8fb9 BE \u7684\u957f\u5ea6\u4e3a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-404ffb83b8644476244b8716625e3d43.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-404ffb83b8644476244b8716625e3d43.png\"><\/a>\u4f46 BE \u662f \u25b3\ud835\udc35\ud835\udc39\ud835\udc38 \u7684\u8f83\u957f\u76f4\u89d2\u8fb9\uff0c\u56e0\u6b64 \u25b3\ud835\udc35\ud835\udc39\ud835\udc38 \u7684\u659c\u8fb9 BF \u7684\u957f\u5ea6\u4e3a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-616bf75c4c66109aa9fbc720b033a0fd.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-616bf75c4c66109aa9fbc720b033a0fd.png\"><\/a><\/section>\n<section><\/section>\n<section>\u6839\u636e\u6784\u9020\uff0c\u6bcf\u4e2a\u4e09\u89d2\u5f62\u7684\u8f83\u77ed\u76f4\u89d2\u8fb9\u4e5f\u662f\u4e0b\u4e00\u4e2a\u4e09\u89d2\u5f62\u7684\u8f83\u957f\u76f4\u89d2\u8fb9\uff0c\u8fd9\u610f\u5473\u7740\u8fde\u7eed\u4e09\u89d2\u5f62\u7684\u6bd4\u7387\u4e3a \ud835\udc4e\/\ud835\udc4f\uff1b\u4f46\u95f4\u9694\u4e00\u4e2a\u4e09\u89d2\u5f62\u7684\u6bd4\u7387\u4e3a \ud835\udc4e\u00b2\/\ud835\udc4f\u00b2\uff0c\u56e0\u6b64<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-69e03974dc4dedfd7085cbc5d88d3d0a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-69e03974dc4dedfd7085cbc5d88d3d0a.png\"><\/a><\/section>\n<section>\u56e0\u6b64\uff0c\u76f4\u89d2\u4e09\u89d2\u5f62 \ud835\udc34\ud835\udc35\u2032\ud835\udc37 \u7684\u659c\u8fb9 AD \u7684\u957f\u5ea6\u4e3a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-6d08f4ca5a00f06cf8cc12b6f9899820.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-6d08f4ca5a00f06cf8cc12b6f9899820.png\"><\/a><\/section>\n<section>\u5728 \u25b3\ud835\udc34\ud835\udc35\u2032\ud835\udc37 \u4e2d\uff0c\u6709 cos (2\ud835\udefc)=\ud835\udc34\ud835\udc35\u2032\/\ud835\udc34\ud835\udc37=\ud835\udc50\/\ud835\udc34\ud835\udc37\uff0c\u56e0\u6b64 \ud835\udc34\ud835\udc37=\ud835\udc50\/cos (2\ud835\udc4e)\u3002<\/section>\n<section><\/section>\n<section>\u5c06 AD \u7684\u4e24\u4e2a\u7b49\u5f0f\u5408\u5e76\u5230\u4e00\u8d77\uff0c\u53ef\u5f97\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e32301a0901ade0da6475f7a787df188.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e32301a0901ade0da6475f7a787df188.png\"><\/a><\/section>\n<section>\u8bf7\u6ce8\u610f\uff0c\u5176\u4e2d\u4e00\u6b65\u4f7f\u7528\u4e86\u4f17\u6240\u5468\u77e5\u7684\u6536\u655b\u7ea7\u6570\u6c42\u548c\u516c\u5f0f\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-f181e832bdea9fced8a36afef29b6554.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-f181e832bdea9fced8a36afef29b6554.png\"><\/a><\/section>\n<section><strong>\u7b2c\u4e8c\u79cd\u8bc1\u660e<\/strong><\/section>\n<section><\/section>\n<section>\u7ed9\u5b9a\u76f4\u89d2\u4e09\u89d2\u5f62 ABC\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u6cbf\u8fb9 BC \u627e\u5230\u4e00\u4e2a\u70b9 D\uff0c\u4f7f\u5f97 \u2220\ud835\udc35\ud835\udc34\ud835\udc37=\ud835\udefc\u3002\u8fd9\u6837\u4e00\u6765\uff0c\u2220\ud835\udc34\ud835\udc37\ud835\udc36=90\u22122\ud835\udefc=\ud835\udefd\u2212\ud835\udefc\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-f7546b5004695e4a34a25ba9ef6bb21c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-f7546b5004695e4a34a25ba9ef6bb21c.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 9<\/sup><\/em><\/section>\n<section><em><br \/><\/em><\/section>\n<section>\u6211\u4eec\u9996\u5148\u5c06\u6b63\u5f26\u5b9a\u7406\u5e94\u7528\u4e8e \u25b3\ud835\udc34\ud835\udc36\ud835\udc37\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-bfcf0e7075c363900dd111985e760749.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-bfcf0e7075c363900dd111985e760749.png\"><\/a><\/section>\n<section>\u7531\u6b64\u5f97\u51fa<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d1bbb23a01319db04e424af5c3632575.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-d1bbb23a01319db04e424af5c3632575.png\"><\/a><\/section>\n<section>\u63a5\u4e0b\u6765\uff0c\u5bf9 \u25b3\ud835\udc34\ud835\udc35\ud835\udc37 \u4f7f\u7528\u6b63\u5f26\u5b9a\u7406\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-7ef4c2a44b14d340323985f1abd338fe.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-7ef4c2a44b14d340323985f1abd338fe.png\"><\/a><\/section>\n<section>\u6bd4\u8f83 BD \u7684\u4e24\u4e2a\u503c\uff0c\u53ef\u5f97<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-5075f521a28d4ce5032c1fe4d15b98dc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-5075f521a28d4ce5032c1fe4d15b98dc.png\"><\/a>\uff0c\u5316\u7b80\u53ef\u5f97 \ud835\udc4e\u00b2+\ud835\udc4f\u00b2=\ud835\udc50\u00b2\u3002<\/section>\n<section><\/section>\n<section><strong>\u7b2c\u4e09\u79cd\u8bc1\u660e<\/strong><\/section>\n<section><\/section>\n<section>\u9996\u5148\uff0c\u5728 AC \u8fb9\u4e0a\u627e\u5230\u4e00\u4e2a\u70b9 D\uff0c\u4f7f\u5f97 \u2220\ud835\udc36\ud835\udc35\ud835\udc37=\ud835\udefd\u2212\ud835\udefc\uff0c\u56e0\u6b64 \u2220\ud835\udc34\ud835\udc35\ud835\udc37=\ud835\udefd\u2212(\ud835\udefd\u2212\ud835\udefc)=\ud835\udefc \u4e14 \u2220\ud835\udc35\ud835\udc37\ud835\udc36=90\u2212(\ud835\udefd\u2212\ud835\udefc)=2\ud835\udefc\u3002\u5982\u56fe 10 \u6240\u793a\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-de7318d029659e0547fc5e28c075f520.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-de7318d029659e0547fc5e28c075f520.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 10<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u6839\u636e\u5b9a\u4e49\uff0c sin (2\ud835\udefc)=\ud835\udc35\ud835\udc36\/\ud835\udc35\ud835\udc37\uff0c\u56e0\u6b64<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e1626ecc75bbc8a583d1e4ca33776563.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e1626ecc75bbc8a583d1e4ca33776563.png\"><\/a><\/section>\n<section>\u90a3\u4e48\uff0c<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-46828e354143af30a8f89a156ddfffb9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-46828e354143af30a8f89a156ddfffb9.png\"><\/a><\/section>\n<section>\u4e8e\u662f\u53ef\u5f97\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-47e24d3346a1be4148f507e87dbf9f16.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-47e24d3346a1be4148f507e87dbf9f16.png\"><\/a><\/section>\n<section>\u4f46\u7531\u4e8e \u25b3\ud835\udc34\ud835\udc35\ud835\udc37 \u662f\u7b49\u8170\u4e09\u89d2\u5f62\uff0c\u6709 \ud835\udc34\ud835\udc37=\ud835\udc35\ud835\udc37\uff0c\u56e0\u6b64<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e3d23e2061f36971d578429b556e1e3c.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e3d23e2061f36971d578429b556e1e3c.png\"><\/a>\uff0c\u6d88\u53bb 2b \u540e\u53ef\u5f97 \ud835\udc4e\u00b2+\ud835\udc4f\u00b2=\ud835\udc50\u00b2\u3002<\/section>\n<section><\/section>\n<section><strong>\u7b2c\u56db\u79cd\u8bc1\u660e<\/strong><\/section>\n<section><\/section>\n<section>\u9996\u5148\uff0c\u5982\u56fe 11 \u6240\u793a\uff0c\u753b\u51fa\u659c\u8fb9 AB \u7684\u5782\u76f4\u5e73\u5206\u7ebf DE\uff08\u4f7f\u5f97 \u25b3\ud835\udc34\ud835\udc38\ud835\udc37\u223c\u25b3\ud835\udc34\ud835\udc35\ud835\udc36\uff09\uff0c\u7136\u540e\u6784\u9020\u77e9\u5f62 AOBC \u5e76\u753b\u51fa\u5b83\u7684\u5bf9\u89d2\u7ebf\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e53901a9a6f0d3d4e8dc93932fb61462.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-e53901a9a6f0d3d4e8dc93932fb61462.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 11<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u6839\u636e\u53cd\u5c04\u5bf9\u79f0\u6027\uff0c\u2220\ud835\udc35\ud835\udc36\ud835\udc37=\u2220\ud835\udc36\ud835\udc35\ud835\udc37=\ud835\udefd\uff0c\u7136\u540e \u2220\ud835\udc37\ud835\udc36\ud835\udc38=90\u2212\ud835\udefd=\ud835\udefc \u4e14 \u2220\ud835\udc35\ud835\udc37\ud835\udc36=180\u2212(\ud835\udefd+\ud835\udefd)=2\ud835\udefc\u3002\u8fd8\u6709\u2220\ud835\udc36\ud835\udc37\ud835\udc38=90\u22122\ud835\udefc=\ud835\udefd\u2212\ud835\udefc\u3002<\/section>\n<section><\/section>\n<section>\u7531\u4e8e \ud835\udc34\ud835\udc37=\ud835\udc35\ud835\udc37\uff0c\u6709\ud835\udc34\ud835\udc37=\ud835\udc35\ud835\udc37=\ud835\udc50\/2\uff0c\u800c \u25b3\ud835\udc34\ud835\udc38\ud835\udc37 \u7684\u8fb9\u4e4b\u6bd4 a\uff1ab\uff1ac \u8868\u660e\ud835\udc37\ud835\udc38=\ud835\udc34\ud835\udc37(\ud835\udc4e\/\ud835\udc4f)=\ud835\udc4e\ud835\udc50\/2\ud835\udc4f \u4e14 \ud835\udc34\ud835\udc38=\ud835\udc34\ud835\udc37(\ud835\udc50\/\ud835\udc4f)=\ud835\udc50\u00b2\/2\ud835\udc4f\u3002\u56e0\u6b64<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-c60e75a75c42d369f70d15234e4879bc.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-c60e75a75c42d369f70d15234e4879bc.png\"><\/a><\/section>\n<section>\u5bf9 \u25b3\ud835\udc36\ud835\udc37\ud835\udc38 \u4f7f\u7528\u6b63\u5f26\u5b9a\u7406\u53ef\u5f97\uff1a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-64fb40da971a1d93666c6510091d4b17.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-64fb40da971a1d93666c6510091d4b17.png\"><\/a><\/section>\n<section><strong>\u7b2c\u4e94\u79cd\u8bc1\u660e<\/strong><\/section>\n<section><\/section>\n<section>\u4e0e\u524d\u56db\u4e2a\u8bc1\u660e\u4e0d\u540c\uff0c\u7b2c\u4e94\u4e2a\u8bc1\u660e\u4ec5\u9002\u7528\u4e8e\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\u3002<\/section>\n<section><\/section>\n<section>\u7ed9\u5b9a\u76f4\u89d2\u4e09\u89d2\u5f62 ABC\uff0c\u4e14\u6709 \ud835\udefc\u2264\ud835\udefd\uff0c\u5bf9\u4e8e\u4efb\u610f\u5e38\u6570 \ud835\udc58\uff080&lt;\ud835\udc58&lt;1\uff09\uff0c\u53ef\u4ee5\u753b\u51fa\u4e00\u6761\u7ebf DE \u5e76\u4f7f\u5f97 \u25b3\ud835\udc34\ud835\udc35\ud835\udc36\u223c\u25b3\ud835\udc34\ud835\udc37\ud835\udc38 \u5177\u6709\u6bd4\u4f8b\u56e0\u5b50 k\u3002\u7136\u540e\u518d\u753b\u4e00\u6761\u7ebf DF\uff0c\u4f7f\u5f97 \u2220\ud835\udc38\ud835\udc37\ud835\udc39=2\ud835\udefc\u3002\u7136\u540e\u9009\u62e9\u4e00\u4e2a\u9002\u5f53\u7684 k \u503c\uff0c\u4f7f\u5f97 F \u4f4d\u4e8e B \u548c C \u4e4b\u95f4\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-c0b26bad9f3c9ddae55fd0798917084e.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-c0b26bad9f3c9ddae55fd0798917084e.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 12<\/sup><\/em><\/section>\n<section><em><br \/><\/em><\/section>\n<section>\u5982\u679c \u2220\ud835\udefc&lt;45\uff0c\u5219 DF \u548c EC \u53ef\u4ee5\u5ef6\u4f38\u81f3\u70b9 G \u5904\u76f8\u4ea4\uff0c\u4ece\u800c\u5f97\u5230\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62 DEG\uff0c\u5176\u4e2d \u2220\ud835\udc3a=\ud835\udefd\u2212\ud835\udefc\u3002\u7531\u4e8e \ud835\udc37\ud835\udc38\u2225\ud835\udc35\ud835\udc36\uff0c\u5219\u53ef\u5f97 \u2220\ud835\udc35\ud835\udc39\ud835\udc37=\u2220\ud835\udc38\ud835\udc37\ud835\udc39=2\ud835\udefc\uff0c\u5219 \u2220\ud835\udc35\ud835\udc37\ud835\udc39=180\u2212(2\ud835\udefc+\ud835\udefd)=\ud835\udefd\u3002\u5bf9 \u25b3\ud835\udc35\ud835\udc37\ud835\udc39 \u4f7f\u7528\u6b63\u5f26\u5b9a\u7406\uff0c\u53ef\u5f97<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-3c3a55399a629c4256d9ac596fa2e36f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-3c3a55399a629c4256d9ac596fa2e36f.png\"><\/a><\/section>\n<section>\u4e8e\u662f\uff0c<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-5daeac8292595112cf89f8aa57ce1ca6.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-5daeac8292595112cf89f8aa57ce1ca6.png\"><\/a><\/section>\n<section>\u800c\u5728 \u25b3DEG \u4e2d\uff0c\u6709 sin (\ud835\udefd\u2212\ud835\udefc)=\ud835\udc37\ud835\udc38\/\ud835\udc37\ud835\udc3a\uff0c\u56e0\u6b64<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-60fa6713b60dad595e5bba9502633411.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-60fa6713b60dad595e5bba9502633411.png\"><\/a><\/section>\n<section>\u5219\u53ef\u5f97<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-6a380f9d2893d9a3fca84ae427ebd202.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-6a380f9d2893d9a3fca84ae427ebd202.png\"><\/a><\/section>\n<section>\u5e76\u4e14\u7531\u4e8e sin (\ud835\udefd\u2212\ud835\udefc)=\ud835\udc36\ud835\udc39\/\ud835\udc39\ud835\udc3a\uff0c\u53ef\u5f97<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-5362575bfb6ca71045d4fc3fed08cab7.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-5362575bfb6ca71045d4fc3fed08cab7.png\"><\/a><\/section>\n<section>\u5f53 \u2220\ud835\udefc=45 \u65f6\uff0c\u4ecd\u7136\u6709 \ud835\udc35\ud835\udc39=(1\u2212\ud835\udc58)\ud835\udc50\u00b2\/2\ud835\udc4e \uff08\u5982\u679c M \u662f BD \u7684\u4e2d\u70b9\uff0c\u5219 \ud835\udc35\ud835\udc40=(1\u2212\ud835\udc58)\ud835\udc50\/2 \u4e14 \ud835\udc35\ud835\udc39=\ud835\udc50\/\ud835\udc4e\u30fb\ud835\udc35\ud835\udc40\uff09\u5e76\u4e14\u4ecd\u7136\u6709<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-3db70fc3ae524ac4ee5f40bd007550ce.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-3db70fc3ae524ac4ee5f40bd007550ce.png\"><\/a><\/section>\n<section>\u56e0\u6b64\u5bf9\u4e8e\u4efb\u4f55\u76f4\u89d2\u4e09\u89d2\u5f62 ABC\uff0c\u53ef\u77e5<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-4b38f2f4b95e365a7c409bd71be3f0af.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-4b38f2f4b95e365a7c409bd71be3f0af.png\"><\/a><\/section>\n<section><strong>\u8fd9\u4e24\u4f4d\u9ad8\u4e2d\u751f\u662f\u5982\u4f55\u5f97\u5230\u8fd9\u4e94\u79cd\u8bc1\u660e\u7684\uff1f<\/strong><\/section>\n<section><\/section>\n<section>\u5728\u4efb\u4f55\u521b\u9020\u6027\u6d3b\u52a8\u4e2d\uff0c\u90fd\u6709\u4e00\u4e2a\u57fa\u672c\u95ee\u9898\uff1a\u300c\u6211\u80fd\u7528\u5df2\u6709\u7684\u4e1c\u897f\u521b\u9020\u4ec0\u4e48\uff1f\u300d<\/section>\n<section><\/section>\n<section>\u5bf9\u4e8e\u52fe\u80a1\u5b9a\u7406\uff0c\u8fd9\u4e2a\u95ee\u9898\u5c31\u53d8\u6210\u4e86\uff1a\u300c\u7ed9\u5b9a\u76f4\u89d2\u4e09\u89d2\u5f62 ABC\uff0c\u6211\u53ef\u4ee5\u521b\u5efa\u54ea\u4e9b\u76f4\u89d2\u4e09\u89d2\u5f62\uff1f\u300d<\/section>\n<section><\/section>\n<section>\u8fd9\u4e24\u4f4d\u9ad8\u4e2d\u751f\u5bf9\u8fd9\u4e00\u95ee\u9898\u8fdb\u884c\u4e86\u89e3\u7b54\u3002\u4ed6\u4eec\u5bf9\u65b0\u4e09\u89d2\u5f62\u7684\u521b\u5efa\u505a\u4e86\u9650\u5236\uff0c\u4f7f\u5176\u89d2\u662f \u25b3\ud835\udc34\ud835\udc35\ud835\udc36 \u7684\u4e09\u4e2a\u89d2 \ud835\udefc\u3001\ud835\udefd \u548c 90 (=\ud835\udefc+\ud835\udefd) \u5ea6\u7684\u300c\u6574\u6570\u548c\u300d\u548c \/ \u6216\u300c\u6574\u6570\u5dee\u300d\u3002<\/section>\n<section><\/section>\n<section><strong>\u5f15\u7406 1<\/strong><\/section>\n<section><\/section>\n<section>a. \u5982\u679c ABC \u662f\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\uff08\u56e0\u6b64 \ud835\udefc=\ud835\udefd=45\uff09\uff0c\u90a3\u4e48\u6240\u6709\u89d2\u662f \ud835\udefc \u548c \ud835\udefd \u7684\u6574\u6570\u7ebf\u6027\u7ec4\u5408\u7684\u4e09\u89d2\u5f62\u5c31\u53ea\u6709\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\u3002<\/section>\n<section><\/section>\n<section>b. \u5982\u679c\u76f4\u89d2\u4e09\u89d2\u5f62 ABC \u4e2d\u7684 \ud835\udefc &lt; \ud835\udefd\uff0c\u5219\u5b58\u5728\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u5176\u9510\u89d2\u4e3a 2\ud835\udefc \u548c \ud835\udefd\u2212\ud835\udefc\u3002\u6b64\u5916\uff0c2\ud835\udefc \u548c \ud835\udefd\u2212\ud835\udefc \u662f \ud835\udefc \u548c \ud835\udefd \u7684\u552f\u4e00\u6574\u6570\u7ebf\u6027\u7ec4\u5408\uff0c\u5b83\u4eec\u5c06\u662f\u6bcf\u5bf9 {\ud835\udefc,\ud835\udefd} \u7684\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u9510\u89d2\u3002<\/section>\n<section><\/section>\n<section><strong>\u8bc1\u660e<\/strong><\/section>\n<section><\/section>\n<section>a. \u7531\u4e8e\u7b49\u8170\u4e09\u89d2\u5f62 ABC \u7684\u6240\u6709\u4e09\u4e2a\u89d2\u90fd\u662f 45 \u7684\u500d\u6570\uff0c\u56e0\u6b64\u4efb\u4f55\u65b0\u4e09\u89d2\u5f62\uff08\u5176\u89d2\u5ea6\u9650\u5236\u4e3a \u25b3\ud835\udc34\ud835\udc35\ud835\udc36 \u89d2\u5ea6\u7684\u548c\u548c \/ \u6216\u5dee\uff09\u4e2d\u7684\u6240\u6709\u4e09\u4e2a\u89d2\u4ecd\u7136\u662f 45 \u7684\u500d\u6570\uff0c\u56e0\u6b64\u8fd9\u4e2a\u4e09\u89d2\u5f62\u5fc5\u987b\u662f\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679c\u4ece\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\u5f00\u59cb\uff0c\u5c31\u65e0\u6cd5\u521b\u5efa\u4e00\u4e2a\u65b0\u4e09\u89d2\u5f62\u3002<\/section>\n<section><\/section>\n<section>b. \u73b0\u5728\u5047\u8bbe \ud835\udefc &lt; \ud835\udefd\u3002\u5982\u679c\u65b0\u6784\u9020\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\u9510\u89d2\u7684\u5927\u5c0f\u4e3a \ud835\udc5a\ud835\udefc + \ud835\udc5b\ud835\udefd (\ud835\udc5a,\ud835\udc5b\u2208\u2124)\uff0c\u5219\u5176\u8865\u89d2\u5927\u5c0f\u4e3a 90 \u2013 (\ud835\udc5a\ud835\udefc + \ud835\udc5b\ud835\udefd) =(\ud835\udefc+\ud835\udefd)\u2013(\ud835\udc5a\ud835\udefc + \ud835\udc5b\ud835\udefd) = (1\u2212\ud835\udc5a)\ud835\udefc + (1\u2212\ud835\udc5b)\ud835\udefd\u3002\u5982\u679c\u6574\u6570 n \u548c 1\u2212\ud835\udc5b \u90fd\u975e\u96f6\uff0c\u56e0\u6b64\u5176\u4e2d\u4e00\u4e2a\uff08\u4f8b\u5982 n\uff09\u5fc5\u5b9a\u4e3a\u8d1f\u6570\uff0c\u5219\u7528 \u23e7\ud835\udc5b\u23e7 \u66ff\u6362 n\uff0c\u53ef\u77e5\u5176\u4e2d\u4e00\u4e2a\u89d2\u5ea6\u4e3a \ud835\udc5a\ud835\udefc \u2013 \ud835\udc5b\ud835\udefd\uff0c\u5176\u4e2d m &gt; n &gt; 0\u3002\u4f46\u662f\u5f53 \ud835\udefc \u4e3a 90\ud835\udc5b\/(\ud835\udc5a+\ud835\udc5b) \u5ea6\u65f6\uff0c\u5176\u8865\u89d2 \ud835\udefd \u4e3a 90\ud835\udc5a\/(\ud835\udc5a+\ud835\udc5b) \u5ea6\uff0c\u8fd9\u79cd\u6784\u9020\u4f1a\u5f97\u5230\u4e00\u4e2a\u4e09\u89d2\u5f62\uff0c\u5176\u89d2\u5ea6\u4e3a<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-b52e34c30dd6eb6d690bbec3e0a2ba51.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-b52e34c30dd6eb6d690bbec3e0a2ba51.png\"><\/a><\/section>\n<section>\u8fd9\u662f\u4e0d\u53ef\u80fd\u7684\uff0c\u8bf4\u660e\u5fc5\u5b9a\u6709 \ud835\udc5b=0\uff0c\u8fd9\u6837\u5bf9\u4e8e\u67d0\u4e2a \ud835\udc5a\u2208\u2115\uff0c\u5176\u4e2d\u4e00\u4e2a\u9510\u89d2\u4e3a \ud835\udc5a\ud835\udefc\u3002<\/section>\n<section><\/section>\n<section>\u5982\u679c \ud835\udc5a=1\uff0c\u90a3\u5c31\u4f1a\u5f97\u5230\u539f\u59cb\u4e09\u89d2\u5f62 ABC\u3002\u5982\u679c \ud835\udc5a=2\uff0c\u90a3\u4f1a\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u5176\u9510\u89d2\u4e3a 2\ud835\udefc \u548c \ud835\udefd \u2013 \ud835\udefc\u3002\uff08\u8bf7\u6ce8\u610f\uff0c\u7531\u4e8e \ud835\udefc &lt;45\uff0c\u56e0\u6b64 2\ud835\udefc &lt; 90\u3002\uff09\u6700\u540e\uff0c\u53ef\u4ee5\u770b\u5230 \ud835\udc5a \u2265 3 \u662f\u4e0d\u53ef\u80fd\u7684\uff0c\u56e0\u4e3a\u4e0d\u5b58\u5728 30 \u2264 \ud835\udefc &lt; 45 \u7684\u4e09\u89d2\u5f62\u3002<\/section>\n<section><\/section>\n<section>\u8be5\u5f15\u7406\u4e3a\u8fd9\u4e24\u4f4d\u9ad8\u4e2d\u751f\u63d0\u4f9b\u4e86\u8bc1\u660e\u52fe\u80a1\u5b9a\u7406\u7684\u601d\u8def\uff08\u5bf9\u4e8e\u975e\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62\uff09\uff1a\u4ece\u539f\u59cb\u4e09\u89d2\u5f62 ABC \u5f00\u59cb\uff0c\u5c1d\u8bd5\u4ee5\u5c3d\u53ef\u80fd\u591a\u7684\u65b9\u5f0f\u521b\u5efa\u4e00\u4e2a\u65b0\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u5176\u89d2\u5ea6\u4e3a 2\ud835\udefc\u3001\ud835\udefd \u2013 \ud835\udefc \u548c 90 \u5ea6\u3002<\/section>\n<section><\/section>\n<section>\u4e3e\u4e2a\u4f8b\u5b50\uff0c\u4e3a\u4e86\u521b\u5efa 2\ud835\udefc \u89d2\uff0c\u4e00\u79cd\u660e\u663e\u65b9\u6cd5\u662f\u5c06\u4e24\u4e2a \u25b3\ud835\udc34\ud835\udc35\ud835\udc36 \u7ec4\u5408\u5230\u4e00\u8d77\uff0c\u5982\u56fe 13 \u6240\u793a\u3002<\/section>\n<section><\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-b2934b1cec7e9d4385a223350cea0405.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-b2934b1cec7e9d4385a223350cea0405.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 13<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u8fd9\u4f1a\u5f97\u5230\u4e00\u4e2a\u7b49\u8170\u4e09\u89d2\u5f62\ud835\udc34\ud835\udc35\ud835\udc35\u2032\uff0c\u5176\u89d2\u5ea6\u5206\u522b\u4e3a 2\ud835\udefc\u3001\ud835\udefd \u548c \ud835\udefd\uff1b\u4e0b\u4e00\u6b65\u662f\u53d6\u5176\u4e2d\u7684 \ud835\udefd \u89d2\uff0c\u5e76\u5c06\u5176\u8f6c\u6362\u4e3a \ud835\udefd \u2013 \ud835\udefc \u6216 90 \u5ea6\u3002<\/section>\n<section><\/section>\n<section>\u8981\u5728\u9876\u70b9 \ud835\udc35\u2032 \u5904\u521b\u5efa 90 \u5ea6\u89d2\uff0c\u53ef\u6784\u9020\u4e00\u6761\u5c04\u7ebf\uff0c\u4f7f\u5b83\u4e0e \ud835\udc35\ud835\udc35\u2032 \u5f62\u6210 \ud835\udefc \u89d2\u3002\u5982\u679c\u5c06\u8fb9 AB \u5ef6\u4f38\u5230\u70b9 D \u5904\u4e0e\u8be5\u5c04\u7ebf\u76f8\u4ea4\uff0c\u5219\u4f1a\u83b7\u5f97\u524d\u9762\u7b2c\u4e00\u4e2a\u8bc1\u660e\u7684\u56fe\u50cf\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-17b94b817ac43dc9fda0d59a7a8fa3b1.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-17b94b817ac43dc9fda0d59a7a8fa3b1.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u56fe 14<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u53c8\u6216\u8005\uff0c\u5982\u679c\u5728\u659c\u8fb9 AB \u7684\u53e6\u4e00\u4fa7\u521b\u5efa 2\ud835\udefc \u89d2\uff0c\u5e76\u5ef6\u4f38 CB \u4ee5\u4e0e\u65b0\u5c04\u7ebf\u76f8\u4ea4\u4e8e\u70b9 D\uff0c\u5982\u4e0b\u6240\u793a\uff0c\u5219\u5c06\u83b7\u5f97\u7b2c\u4e8c\u4e2a\u8bc1\u660e\u7684\u56fe\u5f62\u3002<\/section>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-b7a57a7d30421c6d40dee88aa34cd985.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2024\/10\/frc-b7a57a7d30421c6d40dee88aa34cd985.png\"><\/a><\/section>\n<section><em><sup>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u56fe 15<\/sup><\/em><\/section>\n<section><\/section>\n<section>\u8fd9\u79cd\u7b80\u5355\u7684\u65b9\u6cd5\u53ef\u5f97\u5230\u8bb8\u591a\u65b0\u8bc1\u660e\uff0c\u5176\u4e2d\u4e94\u4e2a\u5982\u4e0a\u6240\u793a\uff0c\u8fd8\u6709\u4e94\u4e2a\uff08\u6216\u66f4\u591a\uff09\u7559\u7ed9\u611f\u5174\u8da3\u7684\u8bfb\u8005\u53bb\u53d1\u73b0\u3002<\/section>\n<section><\/section>\n<section>\u6709\u65f6\uff0c\u5bf9\u4e8e\u95ee\u9898\u8fc7\u4e8e\u4e86\u89e3\uff0c\u4f1a\u8ba9\u6211\u4eec\u9677\u5165\u8ba4\u4e3a\u5b83\u300c\u7406\u6240\u5f53\u7136\u300d\u7684\u675f\u7f1a\u3002\u80fd\u7528\u5168\u65b0\u7684\u773c\u5149\u770b\u5f85\u95ee\u9898\uff0c\u4e5f\u662f\u4e00\u79cd\u7a00\u7f3a\u7684\u80fd\u529b\u3002<\/section>\n<section><\/section>\n<section>\u8fd9\u4e9b\u300c\u9ad8\u4e2d\u6c34\u5e73\u300d\u7684\u5185\u5bb9\u4f60\u770b\u61c2\u4e86\u5417\uff1f\u5feb\u5feb\u62ff\u8d77\u7eb8\u7b14\u4e5f\u6765\u5c1d\u8bd5\u4e00\u756a\u8bc1\u660e\u5427\uff01<\/section>\n<section><\/section>\n<section><em><sup>\u53c2\u8003\u5185\u5bb9\uff1a<\/sup><\/em><\/section>\n<section><sup><em>https:\/\/mathstodon.xyz\/@tao\/113391326199704210<\/em><\/sup><\/section>\n<section><sup><em>https:\/\/www.cnn.com\/2024\/10\/29\/science\/teens-pythagorean-theorem-study\/index.html<\/em><\/sup><\/section>\n<section><em><sup>https:\/\/www.cbsnews.com\/news\/high-school-students-pythagorean-theorem-trigonometry-proof-60-minutes\/<\/sup><\/em><\/section>\n<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2024-10-30-7\" target=\"_blank\">\u52fe\u80a1\u5b9a\u7406\u8fd8\u80fd\u8fd9\u6837\u8bc1\u660e\uff1f\u9ad8\u4e2d\u751f\u4e00\u8fde\u53d1\u73b010\u79cd\u8bc1\u660e\u65b9\u6cd5\uff0c\u9676\u54f2\u8f69\u70b9\u8d5e<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:\u52fe\u80a1\u5b9a\u7406\u8fd8\u80fd\u8fd9\u6837\u8bc1\u660e\uff1f [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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