{"id":86633,"date":"2026-07-28T23:49:31","date_gmt":"2026-07-28T15:49:31","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/86633.html"},"modified":"2026-07-28T23:49:31","modified_gmt":"2026-07-28T15:49:31","slug":"%e5%bd%93%e9%99%b6%e5%93%b2%e8%bd%a9%e9%81%87%e4%b8%8a%e5%a4%a7%e6%a8%a1%e5%9e%8b%ef%bc%9a%e4%bb%8e%e9%9b%85%e5%8f%af%e6%af%94%e7%8c%9c%e6%83%b3%e5%8f%8d%e4%be%8b%e7%9c%8bai%e8%be%85%e5%8a%a9%e6%95%b0","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/86633.html","title":{"rendered":"\u5f53\u9676\u54f2\u8f69\u9047\u4e0a\u5927\u6a21\u578b\uff1a\u4ece\u96c5\u53ef\u6bd4\u731c\u60f3\u53cd\u4f8b\u770bAI\u8f85\u52a9\u6570\u5b66\u8bc1\u660e\u7684\u6b63\u786e\u59ff\u52bf"},"content":{"rendered":"<h2>\u5f53\u9676\u54f2\u8f69\u9047\u4e0a\u5927\u6a21\u578b&#xff1a;\u4ece\u96c5\u53ef\u6bd4\u731c\u60f3\u53cd\u4f8b\u770bAI\u8f85\u52a9\u6570\u5b66\u8bc1\u660e\u7684\u6b63\u786e\u59ff\u52bf<\/h2>\n<p>\u5728\u6570\u5b66\u754c&#xff0c;\u9676\u54f2\u8f69\u662f\u4e00\u4e2a\u4f20\u5947\u822c\u7684\u5b58\u5728\u3002\u4f5c\u4e3a\u83f2\u5c14\u5179\u5956\u5f97\u4e3b&#xff0c;\u4ed6\u4e0d\u4ec5\u5728\u8c03\u548c\u5206\u6790\u3001\u504f\u5fae\u5206\u65b9\u7a0b\u7b49\u9886\u57df\u5efa\u6811\u5353\u8457&#xff0c;\u66f4\u56e0\u5176\u5bf9\u65b0\u6280\u672f\u5f00\u653e\u4e14\u5ba1\u614e\u7684\u6001\u5ea6\u800c\u95fb\u540d\u3002\u6700\u8fd1&#xff0c;\u4e00\u7bc7\u5173\u4e8e\u9676\u54f2\u8f69\u4e0e\u5927\u6a21\u578b\u63a2\u8ba8\u201c\u96c5\u53ef\u6bd4\u731c\u60f3\u53cd\u4f8b\u201d\u7684\u5bf9\u8bdd\u8bb0\u5f55\u5728\u6280\u672f\u793e\u533a\u5f15\u53d1\u4e86\u70ed\u70c8\u8ba8\u8bba\u3002\u8fd9\u4e0d\u4ec5\u4ec5\u662f\u4e00\u6b21\u7b80\u5355\u7684\u95ee\u7b54&#xff0c;\u66f4\u662f\u4e00\u573a\u5173\u4e8e\u4eba\u7c7b\u76f4\u89c9\u3001\u5f62\u5f0f\u5316\u9a8c\u8bc1\u4e0e\u4eba\u5de5\u667a\u80fd\u8fb9\u754c\u7684\u9ad8\u7ea7\u6f14\u793a\u3002<\/p>\n<p>\u5bf9\u4e8e\u4e2d\u7ea7\u5f00\u53d1\u8005\u800c\u8a00&#xff0c;\u8fd9\u573a\u5bf9\u8bdd\u7684\u4ef7\u503c\u8fdc\u8d85\u6570\u5b66\u672c\u8eab\u3002\u5b83\u63ed\u793a\u4e86\u6211\u4eec\u5728\u4f7f\u7528\u5927\u6a21\u578b&#xff08;\u5982GPT-5.5\u3001Claude 3.5\u6216DeepSeek 4.0 Pro&#xff09;\u89e3\u51b3\u590d\u6742\u903b\u8f91\u95ee\u9898\u65f6\u5e94\u5177\u5907\u7684\u601d\u7ef4\u6846\u67b6\u3002\u672c\u6587\u5c06\u6df1\u5165\u5256\u6790\u8fd9\u6b21\u5bf9\u8bdd\u7684\u6280\u672f\u5185\u6838&#xff0c;\u63a2\u8ba8\u5982\u4f55\u5c06\u201c\u9676\u54f2\u8f69\u5f0f\u201d\u7684\u4e25\u8c28\u601d\u7ef4\u5e94\u7528\u4e8e\u6211\u4eec\u7684\u65e5\u5e38\u5f00\u53d1\u4e0e\u7cfb\u7edf\u8bbe\u8ba1\u4e2d\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260728154929-6a68cf89669d6.jpg\" alt=\"Abstract mathematical logic imagery: deep black ba\" \/><\/p>\n<h4>\u96c5\u53ef\u6bd4\u731c\u60f3&#xff1a;\u4e00\u4e2a\u770b\u4f3c\u7b80\u5355\u7684\u4e16\u754c\u7ea7\u96be\u9898<\/h4>\n<p>\u8981\u7406\u89e3\u8fd9\u6b21\u5bf9\u8bdd\u7684\u6280\u672f\u542b\u91cf&#xff0c;\u6211\u4eec\u9700\u8981\u5148\u4e86\u89e3\u80cc\u666f\u3002\u96c5\u53ef\u6bd4\u731c\u60f3\u662f\u4ee3\u6570\u51e0\u4f55\u4e2d\u7684\u4e00\u4e2a\u8457\u540d\u672a\u89e3\u96be\u9898&#xff0c;\u7531Ott-Heinrich Keller\u57281939\u5e74\u63d0\u51fa\u3002\u7528\u901a\u4fd7\u7684\u8bdd\u8bb2&#xff0c;\u5b83\u63a2\u8ba8\u7684\u662f\u591a\u9879\u5f0f\u51fd\u6570\u7684\u53ef\u9006\u6027\u95ee\u9898\u3002<\/p>\n<p>\u5728\u5355\u53d8\u91cf\u60c5\u51b5\u4e0b&#xff0c;\u5982\u679c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        y<\/p>\n<p>        &#061;<\/p>\n<p>        P<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>       y &#061; P(x)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u4e00\u4e2a\u591a\u9879\u5f0f&#xff0c;\u4e14\u5176\u5bfc\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>         P<\/p>\n<p>         \u2032<\/p>\n<p>        (<\/p>\n<p>        x<\/p>\n<p>        )<\/p>\n<p>       P&#039;(x)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0019em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7519em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2032<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u975e\u96f6\u5e38\u6570&#xff0c;\u90a3\u4e48\u8fd9\u4e2a\u591a\u9879\u5f0f\u4e00\u5b9a\u6709\u4e00\u4e2a\u591a\u9879\u5f0f\u5f62\u5f0f\u7684\u9006\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"><\/p>\n<p>        x<\/p>\n<p>        &#061;<\/p>\n<p>        Q<\/p>\n<p>        (<\/p>\n<p>        y<\/p>\n<p>        )<\/p>\n<p>       x &#061; Q(y)<\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">Q<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002\u8fd9\u542c\u8d77\u6765\u5f88\u81ea\u7136\u3002<\/p>\n<p>\u96c5\u53ef\u6bd4\u731c\u60f3\u5c06\u8fd9\u4e2a\u76f4\u89c9\u63a8\u5e7f\u5230\u4e86\u591a\u7ef4\u60c5\u51b5&#xff1a;\u5982\u679c\u4f60\u6709\u4e00\u4e2a\u4ecen\u7ef4\u7a7a\u95f4\u5230n\u7ef4\u7a7a\u95f4\u7684\u591a\u9879\u5f0f\u6620\u5c04&#xff0c;\u4e14\u5176\u96c5\u53ef\u6bd4\u884c\u5217\u5f0f\u662f\u4e00\u4e2a\u975e\u96f6\u5e38\u6570&#xff0c;\u90a3\u4e48\u8fd9\u4e2a\u6620\u5c04\u662f\u5426\u4e00\u5b9a\u6709\u5168\u5c40\u7684\u591a\u9879\u5f0f\u9006\u6620\u5c04&#xff1f;<\/p>\n<p>\u5c3d\u7ba1\u8868\u8ff0\u7b80\u5355&#xff0c;\u4f46\u81f3\u4eca\u65e0\u4eba\u80fd\u5b8c\u5168\u8bc1\u660e\u3002\u8bb8\u591a\u6570\u5b66\u5bb6\u66fe\u58f0\u79f0\u627e\u5230\u4e86\u8bc1\u660e\u6216\u53cd\u4f8b&#xff0c;\u4f46\u90fd\u5728\u540c\u884c\u8bc4\u5ba1\u4e2d\u8d25\u4e0b\u9635\u6765\u3002\u8fd9\u79cd\u201c\u5bb9\u6613\u63d0\u51fa\u5374\u96be\u4ee5\u8bc1\u660e\u201d\u7684\u7279\u6027&#xff0c;\u4f7f\u5176\u6210\u4e3a\u6d4b\u8bd5\u5927\u6a21\u578b\u903b\u8f91\u63a8\u7406\u80fd\u529b\u7684\u7edd\u4f73\u8bd5\u91d1\u77f3\u3002<\/p>\n<h4>\u9676\u54f2\u8f69\u7684\u5b9e\u9a8c&#xff1a;\u4e0d\u4ec5\u4ec5\u662f\u63d0\u95ee<\/h4>\n<p>\u5728\u6d41\u4f20\u51fa\u7684\u5bf9\u8bdd\u8bb0\u5f55\u4e2d&#xff0c;\u9676\u54f2\u8f69\u5e76\u6ca1\u6709\u7b80\u5355\u5730\u95eeChatGPT&#xff1a;\u201c\u96c5\u53ef\u6bd4\u731c\u60f3\u662f\u5bf9\u7684\u5417&#xff1f;\u201d\u8fd9\u79cd\u521d\u7ea7\u63d0\u95ee\u65b9\u5f0f\u5f80\u5f80\u53ea\u4f1a\u5f97\u5230\u767e\u79d1\u5168\u4e66\u5f0f\u7684\u6cdb\u6cdb\u800c\u8c08\u3002\u76f8\u53cd&#xff0c;\u4ed6\u91c7\u7528\u4e86\u4e00\u79cd\u6781\u5177\u5de5\u7a0b\u601d\u7ef4\u7684\u201c\u4ea4\u4e92\u5f0f\u9a8c\u8bc1\u201d\u7b56\u7565\u3002<\/p>\n<p>\u4ed6\u5411\u6a21\u578b\u63d0\u51fa\u4e86\u4e00\u4e2a\u5177\u4f53\u7684\u53cd\u4f8b\u6784\u9020\u601d\u8def&#xff0c;\u5e76\u5f15\u5bfc\u6a21\u578b\u4e00\u6b65\u6b65\u9a8c\u8bc1\u3002\u8fd9\u5c31\u50cf\u6211\u4eec\u5728\u4ee3\u7801Review\u4e2d&#xff0c;\u4e0d\u662f\u95ee\u201c\u8fd9\u6bb5\u4ee3\u7801\u6709Bug\u5417\u201d&#xff0c;\u800c\u662f\u8bf4\u201c\u6211\u8ba4\u4e3a\u8fd9\u91cc\u5b58\u5728\u5e76\u53d1\u7ade\u4e89\u95ee\u9898&#xff0c;\u56e0\u4e3a\u9501\u7684\u7c92\u5ea6\u8bbe\u7f6e\u4e0d\u5f53&#xff0c;\u4f60\u600e\u4e48\u770b&#xff1f;\u201d<\/p>\n<p>\u5173\u952e\u8f6c\u6298\u70b9&#xff1a;\u4ece\u5e7b\u89c9\u5230\u4e25\u8c28<\/p>\n<p>\u5728\u5bf9\u8bdd\u521d\u671f&#xff0c;\u5927\u6a21\u578b\u8868\u73b0\u51fa\u4e86\u5b83\u5178\u578b\u7684\u4e00\u8d2f\u7279\u6027&#xff1a;\u8bd5\u56fe\u8fce\u5408\u7528\u6237\u7684\u5047\u8bbe\u3002\u5f53\u9676\u54f2\u8f69\u63d0\u51fa\u4e00\u4e2a\u770b\u4f3c\u5408\u7406\u7684\u53cd\u4f8b\u6784\u9020\u65f6&#xff0c;\u6a21\u578b\u6700\u521d\u503e\u5411\u4e8e\u8ba4\u53ef\u5176\u5408\u7406\u6027\u3002\u8fd9\u6b63\u5982\u6211\u4eec\u5728\u5f00\u53d1\u4e2d\u4f7f\u7528AI\u7f16\u7a0b\u52a9\u624b\u65f6\u5e38\u9047\u5230\u7684\u201c\u5e7b\u89c9\u201d\u95ee\u9898\u2014\u2014\u6a21\u578b\u4e3a\u4e86\u8865\u5168\u903b\u8f91&#xff0c;\u6709\u65f6\u4f1a\u7f16\u9020\u4e0d\u5b58\u5728\u7684API\u6216\u63a9\u76d6\u903b\u8f91\u6f0f\u6d1e\u3002<\/p>\n<p>\u7136\u800c&#xff0c;\u9676\u54f2\u8f69\u6ca1\u6709\u6b62\u6b65\u4e8e\u6b64\u3002\u4ed6\u50cf\u4e00\u4f4d\u8d44\u6df1\u7684\u67b6\u6784\u5e08\u5ba1\u67e5\u6838\u5fc3\u4ee3\u7801\u4e00\u6837&#xff0c;\u8fdb\u4e00\u6b65\u8ffd\u95ee\u4e86\u5177\u4f53\u7684\u63a8\u5bfc\u7ec6\u8282\u3002\u5728\u5c42\u5c42\u9012\u8fdb\u7684\u903b\u8f91\u8d28\u8be2\u4e0b&#xff0c;\u5927\u6a21\u578b\u6700\u7ec8\u201c\u53d1\u73b0\u201d\u5e76\u627f\u8ba4\u4e86\u8be5\u53cd\u4f8b\u6784\u9020\u4e2d\u7684\u903b\u8f91\u65ad\u5c42\u2014\u2014\u5373\u5ffd\u7565\u4e86\u7279\u5b9a\u4ee3\u6570\u7ed3\u6784\u4e2d\u7684\u96f6\u56e0\u5b50\u95ee\u9898\u3002<\/p>\n<p>\u8fd9\u4e00\u8fc7\u7a0b\u5411\u6211\u4eec\u5c55\u793a\u4e86\u5f53\u524d\u6700\u5148\u8fdb\u7684\u5927\u6a21\u578b&#xff08;\u65e0\u8bba\u662fOpenAI\u7684o\u7cfb\u5217\u8fd8\u662fDeepSeek\u7684\u63a8\u7406\u6a21\u578b&#xff09;\u7684\u6838\u5fc3\u7279\u5f81&#xff1a;\u5b83\u4eec\u662f\u5f3a\u5927\u7684\u201c\u966a\u7ec3\u201d&#xff0c;\u800c\u975e\u72ec\u7acb\u7684\u201c\u88c1\u5224\u201d\u3002<\/p>\n<h4>\u6280\u672f\u542f\u793a&#xff1a;\u5982\u4f55\u6784\u5efa\u4eba\u673a\u534f\u4f5c\u7684\u903b\u8f91\u95ed\u73af<\/h4>\n<p>\u4f5c\u4e3a\u5f00\u53d1\u8005&#xff0c;\u6211\u4eec\u53ef\u4ee5\u4ece\u8fd9\u6b21\u5bf9\u8bdd\u4e2d\u63d0\u70bc\u51fa\u4e00\u5957\u9002\u7528\u4e8e\u590d\u6742\u7cfb\u7edf\u8bbe\u8ba1\u4e0e\u4ee3\u7801\u903b\u8f91\u9a8c\u8bc1\u7684AI\u534f\u4f5c\u65b9\u6cd5\u8bba\u3002<\/p>\n<h5>1. \u63d0\u793a\u8bcd\u5de5\u7a0b\u4e2d\u7684\u201c\u5bf9\u6297\u6027\u601d\u7ef4\u201d<\/h5>\n<p>\u9676\u54f2\u8f69\u7684\u63d0\u95ee\u65b9\u5f0f\u5b9e\u9645\u4e0a\u662f\u4e00\u79cd\u201c\u5bf9\u6297\u6027\u63d0\u793a\u201d\u3002\u5728\u5f00\u53d1\u4e2d&#xff0c;\u5f53\u6211\u4eec\u8ba9AI\u751f\u6210\u4ee3\u7801\u6216\u5ba1\u67e5\u903b\u8f91\u65f6&#xff0c;\u4e0d\u5e94\u53ea\u505a\u6b63\u5411\u5f15\u5bfc\u3002<\/p>\n<p>\u9519\u8bef\u793a\u8303&#xff1a;<\/p>\n<p>\u201c\u8bf7\u5e2e\u6211\u68c0\u67e5\u8fd9\u6bb5\u4ee3\u7801\u662f\u5426\u7b26\u5408\u8bbe\u8ba1\u6a21\u5f0f\u3002\u201d<\/p>\n<p>\u6b63\u786e\u793a\u8303&#xff08;\u5bf9\u6297\u6027&#xff09;&#xff1a;<\/p>\n<p>\u201c\u6211\u6000\u7591\u8fd9\u6bb5\u4ee3\u7801\u5728\u9ad8\u5e76\u53d1\u573a\u666f\u4e0b\u4f1a\u56e0\u4e3a\u6b7b\u9501\u800c\u5d29\u6e83&#xff0c;\u56e0\u4e3a\u6211\u5728\u4e34\u754c\u533a\u5185\u8c03\u7528\u4e86\u5916\u90e8\u670d\u52a1\u3002\u8bf7\u5206\u6790\u8fd9\u79cd\u53ef\u80fd\u6027&#xff0c;\u5e76\u5c1d\u8bd5\u6784\u9020\u4e00\u4e2a\u590d\u73b0\u8be5\u95ee\u9898\u7684\u65f6\u5e8f\u56fe\u3002\u201d<\/p>\n<p>\u8fd9\u79cd\u63d0\u793a\u65b9\u5f0f\u8feb\u4f7f\u6a21\u578b\u8fdb\u5165\u201c\u627e\u832c\u201d\u6a21\u5f0f&#xff0c;\u800c\u975e\u201c\u8865\u5168\u201d\u6a21\u5f0f&#xff0c;\u4ece\u800c\u663e\u8457\u964d\u4f4e\u4e86\u903b\u8f91\u5e7b\u89c9\u7684\u53d1\u751f\u7387\u3002<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/07\/20260728154929-6a68cf89b44bb.jpg\" alt=\"Abstract artificial intelligence network imagery: \" \/><\/p>\n<h5>2. \u5f62\u5f0f\u5316\u9a8c\u8bc1\u7684\u91cd\u8981\u6027<\/h5>\n<p>\u5728\u8ba8\u8bba\u96c5\u53ef\u6bd4\u731c\u60f3\u65f6&#xff0c;\u9676\u54f2\u8f69\u8fd8\u6d89\u53ca\u4e86\u4f7f\u7528Lean\u7b49\u8bc1\u660e\u52a9\u624b\u8fdb\u884c\u5f62\u5f0f\u5316\u9a8c\u8bc1\u7684\u8bdd\u9898\u3002\u8fd9\u4e0e\u8f6f\u4ef6\u5de5\u7a0b\u4e2d\u7684\u201c\u7c7b\u578b\u5b89\u5168\u201d\u548c\u201c\u5f62\u5f0f\u5316\u65b9\u6cd5\u201d\u4e0d\u8c0b\u800c\u5408\u3002<\/p>\n<p>\u5927\u6a21\u578b\u64c5\u957f\u751f\u6210\u770b\u8d77\u6765\u6b63\u786e\u7684\u4ee3\u7801&#xff0c;\u4f46\u5f88\u96be\u4fdd\u8bc1\u4ee3\u7801\u5728\u6570\u5b66\u4e0a\u7684\u7edd\u5bf9\u6b63\u786e\u6027\u3002\u5bf9\u4e8e\u91d1\u878d\u3001\u822a\u7a7a\u822a\u5929\u7b49\u5173\u952e\u9886\u57df\u7684\u5f00\u53d1\u8005&#xff0c;\u4ec5\u4ec5\u4f9d\u8d56\u5927\u6a21\u578b\u7684\u8f93\u51fa\u662f\u5371\u9669\u7684\u3002<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u501f\u9274\u6570\u5b66\u754c\u7684\u505a\u6cd5&#xff0c;\u5f15\u5165\u201c\u5f62\u5f0f\u5316\u6ce8\u91ca\u201d\u6216\u201c\u5951\u7ea6\u5f0f\u7f16\u7a0b\u201d\u3002<\/p>\n<p><span class=\"token comment\"># \u666e\u901a\u5f00\u53d1\u8005\u5199\u7684\u51fd\u6570&#xff08;\u4f9d\u8d56AI\u751f\u6210&#xff09;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">calculate_trajectory<\/span><span class=\"token punctuation\">(<\/span>velocity<span class=\"token punctuation\">,<\/span> angle<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token comment\"># AI\u53ef\u80fd\u4f1a\u5ffd\u7565\u89d2\u5ea6\u4e3a90\u5ea6\u65f6\u7684\u8fb9\u754c\u60c5\u51b5<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> velocity <span class=\"token operator\">*<\/span> math<span class=\"token punctuation\">.<\/span>cos<span class=\"token punctuation\">(<\/span>angle<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u501f\u9274\u201c\u8bc1\u660e\u601d\u7ef4\u201d\u7684\u5199\u6cd5&#xff08;\u4eba\u673a\u534f\u4f5c\u9a8c\u8bc1&#xff09;<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">calculate_trajectory_verified<\/span><span class=\"token punctuation\">(<\/span>velocity<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">,<\/span> angle<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n    Pre-condition: velocity &gt;&#061; 0<br \/>\n    Post-condition: result &gt;&#061; 0<\/p>\n<p>    Model Interaction Log:<br \/>\n    Q: If angle is PI\/2, cos(angle) is 0. Is this handled?<br \/>\n    A: Yes, the result will be 0, which is physically correct for horizontal distance.<br \/>\n    &#034;&#034;&#034;<\/span><br \/>\n    <span class=\"token comment\"># \u5f3a\u5236\u8981\u6c42AI\u6216\u9759\u6001\u5206\u6790\u5de5\u5177\u9a8c\u8bc1\u524d\u7f6e\u6761\u4ef6<\/span><br \/>\n    <span class=\"token keyword\">assert<\/span> velocity <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;Velocity must be non-negative&#034;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> velocity <span class=\"token operator\">*<\/span> math<span class=\"token punctuation\">.<\/span>cos<span class=\"token punctuation\">(<\/span>angle<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u5728\u8fd9\u4e2a\u5c42\u9762\u4e0a&#xff0c;\u5927\u6a21\u578b\u5145\u5f53\u4e86\u201c\u6587\u6863\u751f\u6210\u5668\u201d\u548c\u201c\u6d4b\u8bd5\u7528\u4f8b\u751f\u6210\u5668\u201d\u7684\u89d2\u8272&#xff0c;\u800c\u4eba\u7c7b\u5f00\u53d1\u8005\u5219\u8d1f\u8d23\u5b9a\u4e49\u201c\u516c\u7406\u7cfb\u7edf\u201d&#xff08;\u5373\u65ad\u8a00\u548c\u7c7b\u578b\u7ea6\u675f&#xff09;\u3002<\/p>\n<h5>3. \u8fed\u4ee3\u5f0f\u63a8\u7406&#xff1a;Chain of Thought \u7684\u5b9e\u6218\u5e94\u7528<\/h5>\n<p>\u5728\u9676\u54f2\u8f69\u4e0e\u6a21\u578b\u7684\u5bf9\u8bdd\u4e2d&#xff0c;\u6700\u7cbe\u5f69\u7684\u90e8\u5206\u5e76\u975e\u5355\u4e00\u7684\u56de\u7b54&#xff0c;\u800c\u662f\u957f\u8fbe\u6570\u5341\u8f6e\u7684\u4ea4\u4e92\u3002\u8fd9\u7c7b\u4f3c\u4e8e\u5927\u6a21\u578b\u63a8\u7406\u4e2d\u7684\u201c\u601d\u7ef4\u94fe\u201d\u6280\u672f\u3002<\/p>\n<p>\u5728\u89e3\u51b3\u590d\u6742Bug\u65f6&#xff0c;\u6211\u4eec\u4e0d\u5e94\u671f\u671bAI\u4e00\u6b21\u6027\u7ed9\u51fa\u7b54\u6848\u3002\u76f8\u53cd&#xff0c;\u5e94\u8be5\u5efa\u7acb\u4e00\u6761\u63a8\u7406\u94fe&#xff1a;<\/p>\n<li>\u5b9a\u4e49\u95ee\u9898\u7a7a\u95f4&#xff1a;\u5411\u6a21\u578b\u63cf\u8ff0\u7cfb\u7edf\u7684\u5f53\u524d\u72b6\u6001\u548c\u5f02\u5e38\u8868\u73b0\u3002<\/li>\n<li>\u63d0\u51fa\u5047\u8bbe&#xff1a;\u8ba9\u6a21\u578b\u5217\u4e3e\u53ef\u80fd\u5bfc\u81f4\u5f02\u5e38\u7684N\u79cd\u539f\u56e0\u3002<\/li>\n<li>\u9010\u4e00\u6392\u9664&#xff1a;\u9488\u5bf9\u6bcf\u4e2a\u539f\u56e0&#xff0c;\u8ba9\u6a21\u578b\u63d0\u4f9b\u9a8c\u8bc1\u811a\u672c\u6216\u65e5\u5fd7\u5206\u6790\u903b\u8f91\u3002<\/li>\n<li>\u6536\u655b\u7ed3\u8bba&#xff1a;\u5728\u6392\u9664\u4e86\u5e72\u6270\u9879\u540e&#xff0c;\u8ba9\u6a21\u578b\u805a\u7126\u4e8e\u6700\u53ef\u80fd\u7684\u6839\u56e0\u3002<\/li>\n<p>\u8fd9\u79cd\u65b9\u6cd5\u6709\u6548\u5730\u89c4\u907f\u4e86\u5927\u6a21\u578b\u4e0a\u4e0b\u6587\u7a97\u53e3\u9650\u5236\u548c\u6ce8\u610f\u529b\u673a\u5236\u5206\u6563\u7684\u95ee\u9898&#xff0c;\u5c06\u590d\u6742\u7684\u903b\u8f91\u95ee\u9898\u62c6\u89e3\u4e3a\u4e00\u7cfb\u5217\u53ef\u9a8c\u8bc1\u7684\u5c0f\u6a21\u5757\u3002<\/p>\n<h4>\u96c5\u53ef\u6bd4\u53cd\u4f8b\u7684\u4ee3\u7801\u9690\u55bb<\/h4>\n<p>\u8ba9\u6211\u4eec\u56de\u5230\u96c5\u53ef\u6bd4\u731c\u60f3\u672c\u8eab\u3002\u4e3a\u4ec0\u4e48\u5927\u6a21\u578b\u5728\u5904\u7406\u8fd9\u7c7b\u6570\u5b66\u53cd\u4f8b\u65f6\u4f1a\u9047\u5230\u56f0\u96be&#xff1f;\u8fd9\u4e0e\u6211\u4eec\u5728\u5904\u7406\u5206\u5e03\u5f0f\u7cfb\u7edf\u4e2d\u7684\u201c\u8fb9\u7f18\u60c5\u51b5\u201d\u5982\u51fa\u4e00\u8f99\u3002<\/p>\n<p>\u96c5\u53ef\u6bd4\u731c\u60f3\u4e2d\u7684\u53cd\u4f8b\u5f80\u5f80\u9690\u85cf\u5728\u6781\u9ad8\u7ef4\u5ea6\u7684\u7a7a\u95f4\u6216\u6781\u7279\u6b8a\u7684\u7cfb\u6570\u57df\u4e2d\u3002\u5927\u6a21\u578b\u662f\u57fa\u4e8e\u6982\u7387\u5206\u5e03\u8bad\u7ec3\u7684&#xff0c;\u5b83\u64c5\u957f\u5904\u7406\u201c\u5e38\u89c1\u60c5\u51b5\u201d&#xff0c;\u800c\u975e\u201c\u6781\u7aef\u7279\u4f8b\u201d\u3002<\/p>\n<p>\u8fd9\u5c31\u597d\u6bd4\u6211\u4eec\u5728\u8bbe\u8ba1\u4e00\u4e2a\u5206\u5e03\u5f0fID\u751f\u6210\u5668\u3002\u96ea\u82b1\u7b97\u6cd5\u5728\u7edd\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u662f\u6b63\u786e\u7684&#xff0c;\u4f46\u5728\u65f6\u949f\u56de\u62e8\u8fd9\u4e00\u6781\u7aef\u60c5\u51b5\u4e0b\u4f1a\u4ea7\u751fID\u51b2\u7a81\u3002\u5982\u679c\u8bad\u7ec3\u6570\u636e\u4e2d\u7f3a\u4e4f\u5bf9\u201c\u65f6\u949f\u56de\u62e8\u201d\u7684\u8db3\u591f\u6837\u672c&#xff0c;\u5927\u6a21\u578b\u751f\u6210\u7684\u4ee3\u7801\u5f88\u53ef\u80fd\u4f1a\u5ffd\u7565\u8fd9\u4e00\u81f4\u547d\u7f3a\u9677\u3002<\/p>\n<p>\u56e0\u6b64&#xff0c;\u9676\u54f2\u8f69\u7684\u5b9e\u9a8c\u5b9e\u9645\u4e0a\u5728\u63d0\u9192\u6211\u4eec&#xff1a;\u5927\u6a21\u578b\u662f\u5f52\u7eb3\u903b\u8f91\u7684\u5f3a\u8005&#xff0c;\u5374\u662f\u6f14\u7ece\u903b\u8f91\u7684\u5f31\u8005\u3002 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