{"id":45375,"date":"2026-04-02T15:29:21","date_gmt":"2026-04-02T07:29:21","guid":{"rendered":"https:\/\/www.qiusir.com\/?p=45375"},"modified":"2026-04-02T16:10:37","modified_gmt":"2026-04-02T08:10:37","slug":"qiutopia%e5%85%89%e5%ad%a6%e5%b0%8f%e6%b5%8b%e8%af%95-2","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=45375","title":{"rendered":"qiutopIA\u5149\u5b66\u7ebf\u4e0a\u5c0f\u6d4b\u8bd5"},"content":{"rendered":"\r\n<div id=\"qiusir-optics-2026-final\" style=\"padding: 10px; font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, sans-serif; max-width: 650px; margin: 0 auto; color: #334155; line-height: 1.6;\">\r\n    <div id=\"optics-app-root\"><\/div>\r\n\r\n    <script>\r\n    (function() {\r\n        var quizData = [\r\n            {\r\n                level: \"\u57fa\u7840\u00b7\u53cd\u5c04\u4e0e\u6298\u5c04\",\r\n                color: \"#10b981\", bg: \"#f0fdf4\", border: \"#dcfce7\",\r\n                questions: [\r\n                    {\r\n                        q: \"\u4e00\u675f\u5149\u4ece\u771f\u7a7a\u5c04\u5165\u6298\u5c04\u7387\u4e3a n=\u221a3 \u7684\u4ecb\u8d28\uff0c\u82e5\u5165\u5c04\u89d2\u4e3a 60\u00b0\uff0c\u5219\u6298\u5c04\u89d2\u4e3a\uff1a\",\r\n                        options: [\"A. 30\u00b0\", \"B. 45\u00b0\", \"C. 60\u00b0\"],\r\n                        correct: 0,\r\n                        fb: \"\u6b63\u786e\uff01\u6839\u636e\u6298\u5c04\u5b9a\u5f8b n = sin(i)\/sin(r)\uff0csin(r) = sin(60\u00b0)\/\u221a3 = 0.5\uff0c\u6545 r=30\u00b0\u3002\"\r\n                    },\r\n                    {\r\n                        q: \"\u5173\u4e8e\u5e73\u9762\u955c\u6210\u50cf\uff0c\u4e0b\u5217\u8bf4\u6cd5\u4e2d\u6b63\u786e\u7684\u662f\uff1a\",\r\n                        options: [\"A. \u770b\u5230\u955c\u4e2d\u7684\u50cf\u662f\u7531\u4e8e\u5149\u7684\u6298\u5c04\", \"B. \u50cf\u4e0e\u7269\u5230\u955c\u9762\u7684\u8ddd\u79bb\u76f8\u7b49\", \"C. \u7269\u4f53\u8fdc\u79bb\u955c\u9762\u65f6\uff0c\u50cf\u4f1a\u53d8\u5c0f\"],\r\n                        correct: 1,\r\n                        fb: \"\u6b63\u786e\uff01\u5e73\u9762\u955c\u6210\u50cf\u9075\u5faa\u53cd\u5c04\u5b9a\u5f8b\uff0c\u50cf\u7269\u5173\u4e8e\u955c\u9762\u5bf9\u79f0\uff0c\u5927\u5c0f\u59cb\u7ec8\u76f8\u7b49\u3002\"\r\n                    }\r\n                ]\r\n            },\r\n            {\r\n                level: \"\u8fdb\u9636\u00b7\u5168\u53cd\u5c04\u4e0e\u68f1\u955c\",\r\n                color: \"#3b82f6\", bg: \"#eff6ff\", border: \"#dbeafe\",\r\n                questions: [\r\n                    {\r\n                        q: \"\u67d0\u79cd\u4ecb\u8d28\u7684\u4e34\u754c\u89d2\u4e3a 45\u00b0\uff0c\u5219\u8be5\u4ecb\u8d28\u7684\u6298\u5c04\u7387\u4e3a\uff1a\",\r\n                        options: [\"A. 1.414 (\u221a2)\", \"B. 1.732 (\u221a3)\", \"C. 2.0\"],\r\n                        correct: 0,\r\n                        fb: \"\u6b63\u786e\uff01\u5168\u53cd\u5c04\u4e34\u754c\u89d2\u516c\u5f0f sin C = 1\/n\u3002\u5f53 C=45\u00b0 \u65f6\uff0cn = 1\/sin(45\u00b0) = \u221a2\u3002\"\r\n                    },\r\n                    {\r\n                        q: \"\u5149\u7ebf\u5782\u76f4\u4e8e\u7b49\u8170\u76f4\u89d2\u68f1\u955c\u7684\u4e00\u4e2a\u76f4\u89d2\u8fb9\u5c04\u5165\uff0c\u5728\u659c\u8fb9\u4e0a\u53d1\u751f\u5168\u53cd\u5c04\uff0c\u8bf4\u660e\u8be5\u68f1\u955c\u6298\u5c04\u7387 n \u6ee1\u8db3\uff1a\",\r\n                        options: [\"A. n < \u221a2\", \"B. n > \u221a2\", \"C. n = 1.2\"],\r\n                        correct: 1,\r\n                        fb: \"\u6b63\u786e\uff01\u5149\u7ebf\u5782\u76f4\u76f4\u89d2\u8fb9\u5c04\u5165\uff0c\u5230\u8fbe\u659c\u8fb9\u65f6\u5165\u5c04\u89d2\u4e3a 45\u00b0\u3002\u53d1\u751f\u5168\u53cd\u5c04\u9700 45\u00b0 > C\uff0c\u5373 sin(45\u00b0) > 1\/n\uff0c\u63a8\u5f97 n > \u221a2\u3002\"\r\n                    }\r\n                ]\r\n            },\r\n            {\r\n                level: \"\u6311\u6218\u00b7\u7269\u7406\u5149\u5b66\uff08\u6ce2\u52a8\u6027\uff09\",\r\n                color: \"#6366f1\", bg: \"#f5f3ff\", border: \"#ddd6fe\",\r\n                questions: [\r\n                    {\r\n                        q: \"\u5728\u53cc\u7f1d\u5e72\u6d89\u5b9e\u9a8c\u4e2d\uff0c\u82e5\u60f3\u589e\u52a0\u5c4f\u4e0a\u5e72\u6d89\u6761\u7eb9\u7684\u95f4\u8ddd\uff0c\u53ef\u4ee5\u91c7\u53d6\u7684\u63aa\u65bd\u662f\uff1a\",\r\n                        options: [\"A. \u51cf\u5c0f\u53cc\u7f1d\u5230\u5c4f\u7684\u8ddd\u79bb\", \"B. \u51cf\u5c0f\u53cc\u7f1d\u4e4b\u95f4\u7684\u8ddd\u79bb\", \"C. \u5c06\u7ea2\u5149\u6539\u4e3a\u7d2b\u5149\"],\r\n                        correct: 1,\r\n                        fb: \"\u6b63\u786e\uff01\u6761\u7eb9\u95f4\u8ddd \u0394x = (L\/d)\u03bb\u3002\u51cf\u5c0f\u7f1d\u95f4\u8ddd d\uff0c\u0394x \u589e\u5927\uff1b\u800c\u7d2b\u5149\u6ce2\u957f\u8f83\u77ed\uff0c\u4f1a\u4f7f\u6761\u7eb9\u53d8\u7a84\u3002\"\r\n                    },\r\n                    {\r\n                        q: \"\u80a5\u7682\u6ce1\u5728\u9633\u5149\u4e0b\u5448\u73b0\u5f69\u8272\u6761\u7eb9\uff0c\u5173\u4e8e\u8fd9\u4e00\u73b0\u8c61\u4e0b\u5217\u8bf4\u6cd5\u6b63\u786e\u7684\u662f\uff1a\",\r\n                        options: [\"A. \u8fd9\u662f\u7531\u4e8e\u5149\u7684\u884d\u5c04\u4ea7\u751f\u7684\", \"B. \u8fd9\u662f\u7531\u819c\u7684\u524d\u540e\u8868\u9762\u53cd\u5c04\u5149\u53e0\u52a0\u4ea7\u751f\u7684\", \"C. \u989c\u8272\u662f\u7531\u5149\u7684\u504f\u632f\u5f15\u8d77\u7684\"],\r\n                        correct: 1,\r\n                        fb: \"\u6b63\u786e\uff01\u8fd9\u662f\u5178\u578b\u7684\u8584\u819c\u5e72\u6d89\u73b0\u8c61\u3002\u5149\u5728\u8584\u819c\u7684\u524d\u540e\u4e24\u4e2a\u8868\u9762\u53cd\u5c04\u540e\u5f62\u6210\u76f8\u5e72\u5149\u6e90\uff0c\u5728\u7279\u5b9a\u539a\u5ea6\u5904\u53d1\u751f\u5e72\u6d89\u53e0\u52a0\u3002\"\r\n                    }\r\n                ]\r\n            }\r\n        ];\r\n\r\n  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item.options.length; k++) {\r\n                        html += '<button class=\"optics-btn\" onclick=\"qiusirOpticsHandle(this,' + i + ',' + j + ',' + k + ')\" style=\"display: block; width: 100%; text-align: left; padding: 10px 15px; margin: 6px 0; border: 1px solid #cbd5e1; border-radius: 8px; background: #ffffff; cursor: pointer; font-size: 14px; transition: 0.2s; color: #334155;\">' + item.options[k] + '<\/button>';\r\n                    }\r\n                    html += '<div class=\"optics-feedback\" style=\"margin-top: 10px; display: none; padding: 12px; border-radius: 8px; font-size: 13px; line-height: 1.5; border: 1px solid transparent;\"><\/div>';\r\n                    html += '<\/div>';\r\n                }\r\n            }\r\n            root.innerHTML = html;\r\n        };\r\n\r\n        window.qiusirOpticsHandle = function(btn, groupIdx, qIdx, optIdx) {\r\n            var card = btn.parentNode;\r\n            var feedback = card.querySelector('.optics-feedback');\r\n     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