{"id":18526,"date":"2026-04-18T15:19:19","date_gmt":"2026-04-18T12:19:19","guid":{"rendered":"https:\/\/smartedujo.com\/?page_id=18526"},"modified":"2026-04-18T15:19:23","modified_gmt":"2026-04-18T12:19:23","slug":"%d8%a7%d9%84%d8%a5%d8%ab%d8%b1%d8%a7%d8%a1-%d9%88%d8%a7%d9%84%d8%aa%d9%88%d8%b3%d8%b9-%d8%a7%d9%84%d9%85%d9%88%d8%ac%d8%a7%d8%aa-%d9%81%d9%88%d9%82-%d8%a7%d9%84%d8%b5%d9%88%d8%aa%d9%8a%d8%a9-%d9%88","status":"publish","type":"page","link":"https:\/\/smartedujo.com\/ar\/%d8%a7%d9%84%d8%a5%d8%ab%d8%b1%d8%a7%d8%a1-%d9%88%d8%a7%d9%84%d8%aa%d9%88%d8%b3%d8%b9-%d8%a7%d9%84%d9%85%d9%88%d8%ac%d8%a7%d8%aa-%d9%81%d9%88%d9%82-%d8%a7%d9%84%d8%b5%d9%88%d8%aa%d9%8a%d8%a9-%d9%88\/","title":{"rendered":"\u0627\u0644\u0625\u062b\u0631\u0627\u0621 \u0648\u0627\u0644\u062a\u0648\u0633\u0639: \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629 \u0648\u062a\u0623\u062b\u064a\u0631 \u062f\u0648\u0628\u0644\u0631 \u0641\u064a \u0627\u0644\u0637\u0628"},"content":{"rendered":"\n
\r\n\r\n\r\n \r\n \r\n \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0645\u0633\u0644\u064a\u0629 | \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629 \u0648\u062a\u0623\u062b\u064a\u0631 \u062f\u0648\u0628\u0644\u0631 \u0641\u064a \u0627\u0644\u0637\u0628<\/title>\r\n <!-- Tailwind CSS CDN -->\r\n <script src=\"https:\/\/cdn.tailwindcss.com\"><\/script>\r\n <!-- \u062e\u0637 Cairo -->\r\n <link href=\"https:\/\/fonts.googleapis.com\/css2?family=Cairo:wght@300;400;500;600;700;800&display=swap\" rel=\"stylesheet\">\r\n <style>\r\n body {\r\n background: linear-gradient(to bottom right, #312e81, #5b21b6);\r\n font-family: 'Cairo', sans-serif;\r\n color: #f1f5f9;\r\n min-height: 100vh;\r\n padding: 2rem;\r\n direction: rtl;\r\n }\r\n .content-container {\r\n max-width: 96rem;\r\n margin: 0 auto;\r\n background-color: rgba(30, 27, 75, 0.6);\r\n backdrop-filter: blur(12px);\r\n border: 1px solid rgba(255, 255, 255, 0.1);\r\n border-radius: 1rem;\r\n padding: 2rem;\r\n box-shadow: 0 20px 25px -5px rgba(0, 0, 0, 0.1), 0 10px 10px -5px rgba(0, 0, 0, 0.04);\r\n }\r\n ::-webkit-scrollbar { width: 8px; }\r\n ::-webkit-scrollbar-track { background: #1e1b4b; }\r\n ::-webkit-scrollbar-thumb { background: #4f46e5; border-radius: 4px; }\r\n ::-webkit-scrollbar-thumb:hover { background: #6366f1; }\r\n input[type=\"range\"] {\r\n direction: ltr;\r\n -webkit-appearance: none;\r\n background: #334155;\r\n height: 4px;\r\n border-radius: 5px;\r\n }\r\n input[type=\"range\"]::-webkit-slider-thumb {\r\n -webkit-appearance: none;\r\n height: 16px;\r\n width: 16px;\r\n border-radius: 50%;\r\n background: #f59e0b;\r\n cursor: pointer;\r\n border: none;\r\n }\r\n .ltr { direction: ltr; text-align: left; }\r\n .ltr-inline { direction: ltr; display: inline-block; }\r\n button {\r\n transition: all 0.2s ease;\r\n }\r\n .simulation-container {\r\n margin: 1.5rem 0;\r\n padding: 1rem;\r\n background-color: rgba(0, 0, 0, 0.2);\r\n border: 1px solid rgba(255, 255, 255, 0.1);\r\n border-radius: 0.75rem;\r\n }\r\n canvas {\r\n display: block;\r\n margin: 0 auto;\r\n border-radius: 0.75rem;\r\n background-color: #0f172a;\r\n }\r\n <\/style>\r\n<\/head>\r\n<body>\r\n\r\n<div class=\"content-container\">\r\n <!-- \u0631\u0623\u0633 \u0627\u0644\u0635\u0641\u062d\u0629: \u0639\u0646\u0648\u0627\u0646 \u0627\u0644\u062f\u0631\u0633 + \u0645\u0639\u0644\u0645 \u0627\u0644\u0645\u0627\u062f\u0629 -->\r\n <div style=\"border-bottom: 1px solid rgba(255,255,255,0.1); padding-bottom: 1rem; margin-bottom: 2rem; display: flex; justify-content: space-between; align-items: center; flex-wrap: wrap; gap: 1rem;\">\r\n <div>\r\n <h1 class=\"text-3xl font-bold text-white mb-2\">\u0627\u0644\u0625\u062b\u0631\u0627\u0621 \u0648\u0627\u0644\u062a\u0648\u0633\u0639: \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629 \u0648\u062a\u0623\u062b\u064a\u0631 \u062f\u0648\u0628\u0644\u0631 \u0641\u064a \u0627\u0644\u0637\u0628<\/h1>\r\n <p class=\"text-indigo-300\">\u0627\u0644\u062b\u0627\u0646\u0648\u064a - \u0627\u0644\u0635\u0641 \u0627\u0644\u0639\u0627\u0634\u0631<\/p>\r\n <\/div>\r\n <div style=\"display: flex; align-items: center; gap: 0.5rem; background-color: rgba(0,0,0,0.2); padding: 0.5rem 1rem; border-radius: 9999px; border: 1px solid rgba(255,255,255,0.1);\">\r\n <div style=\"display: flex; flex-direction: column; align-items: flex-end;\">\r\n <span style=\"font-size: 0.625rem; color: #a5b4fc; line-height: 1;\">\u0625\u0639\u062f\u0627\u062f \u0627\u0644\u0645\u0639\u0644\u0645<\/span>\r\n <span style=\"font-size: 0.875rem; font-weight: bold; color: white; line-height: 1;\">\u0623. \u0639\u0628\u062f\u0627\u0644\u0641\u062a\u0627\u062d \u0645\u0637\u0631<\/span>\r\n <\/div>\r\n <div style=\"width: 2rem; height: 2rem; border-radius: 9999px; background-color: rgba(79, 70, 229, 0.2); display: flex; align-items: center; justify-content: center;\">\r\n <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" fill=\"none\" viewBox=\"0 0 24 24\" stroke-width=\"1.5\" stroke=\"currentColor\" style=\"width: 1.25rem; height: 1.25rem; color: #a5b4fc;\">\r\n <path stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M4.26 10.147a60.436 60.436 0 00-.491 6.347A48.627 48.627 0 0112 20.904a48.627 48.627 0 018.232-4.41 60.46 60.46 0 00-.491-6.347m-15.482 0a50.57 50.57 0 00-2.658-.813A59.905 59.905 0 0112 3.493a59.902 59.902 0 0110.399 5.84c-.896.248-1.783.52-2.658.814m-15.482 0l-3.32-2.217A59.902 59.902 0 0112 3.493a59.902 59.902 0 0110.399 5.84l-3.32 2.217m-1.488-3.322a48.627 48.627 0 01-8.232 4.41\" \/>\r\n <\/svg>\r\n <\/div>\r\n <\/div>\r\n <\/div>\r\n <!-- \u0645\u0634\u063a\u0644 \u0627\u0644\u0635\u0648\u062a -->\r\n <div class=\"mt-4 w-full\">\r\n <audio controls class=\"w-full h-10\">\r\n <source src=\"https:\/\/smartedujo.com\/wp-content\/uploads\/2026\/04\/\u0627\u0644\u0625\u062b\u0631\u0627\u0621_\u0648\u0627\u0644\u062a\u0648\u0633\u0639__\u0627\u0644\u0645\u0648\u062c\u0627\u062a_\u0641\u0648\u0642_\u0627\u0644\u0635\u0648\u062a\u064a\u0629_\u0648\u062f\u0648\u0628\u0644\u0631_audio.mp3\" type=\"audio\/mpeg\">\r\n <source src=\"audio\/lesson_gas_state.ogg\" type=\"audio\/ogg\">\r\n \u0645\u062a\u0635\u0641\u062d\u0643 \u0644\u0627 \u064a\u062f\u0639\u0645 \u062a\u0634\u063a\u064a\u0644 \u0627\u0644\u0635\u0648\u062a. \u064a\u0645\u0643\u0646\u0643 <a href=\"https:\/\/smartedujo.com\/wp-content\/uploads\/2026\/04\/\u0627\u0644\u0625\u062b\u0631\u0627\u0621_\u0648\u0627\u0644\u062a\u0648\u0633\u0639__\u0627\u0644\u0645\u0648\u062c\u0627\u062a_\u0641\u0648\u0642_\u0627\u0644\u0635\u0648\u062a\u064a\u0629_\u0648\u062f\u0648\u0628\u0644\u0631_audio.mp3\" class=\"text-indigo-300 underline\">\u062a\u062d\u0645\u064a\u0644 \u0627\u0644\u0645\u0644\u0641 \u0627\u0644\u0635\u0648\u062a\u064a<\/a>.\r\n <\/audio>\r\n <span class=\"text-xs text-indigo-300\">\u0634\u0631\u062d \u0627\u0644\u062f\u0631\u0633 (\u0635\u0648\u062a)<\/span>\r\n <\/div>\r\n <\/div>\r\n\r\n\r\n <!-- \u0627\u0644\u0645\u062d\u062a\u0648\u0649 \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u064a \u0627\u0644\u0631\u0626\u064a\u0633\u064a -->\r\n <div class=\"space-y-6 text-right\" dir=\"rtl\">\r\n\r\n <!-- \u0645\u0642\u062f\u0645\u0629 \u0645\u0648\u0633\u0639\u0629 -->\r\n <section>\r\n <h2 class=\"text-xl font-semibold text-white mb-2\">\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0644\u0644\u0623\u0637\u0628\u0627\u0621 \u0642\u064a\u0627\u0633 \u0633\u0631\u0639\u0629 \u062a\u062f\u0641\u0642 \u0627\u0644\u062f\u0645 \u062f\u0627\u062e\u0644 \u0627\u0644\u0634\u0631\u0627\u064a\u064a\u0646 \u062f\u0648\u0646 \u062c\u0631\u0627\u062d\u0629\u061f<\/h2>\r\n <div class=\"bg-rose-900\/20 p-4 rounded-lg border border-rose-500\/30\">\r\n <p class=\"text-base text-slate-300 leading-relaxed\">\u0627\u0644\u0633\u0631 \u064a\u0643\u0645\u0646 \u0641\u064a \u062f\u0645\u062c \u062a\u0642\u0646\u064a\u0629 <strong class=\"text-white\">\u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629<\/strong> \u0645\u0639 \u0645\u0628\u062f\u0623 <strong class=\"text-white\">\u062a\u0623\u062b\u064a\u0631 \u062f\u0648\u0628\u0644\u0631<\/strong>. \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u062f\u0631\u0633 \u0627\u0644\u0625\u062b\u0631\u0627\u0626\u064a\u060c \u0646\u062a\u0639\u0631\u0641 \u0625\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629 \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0629\u060c \u0648\u0643\u064a\u0641 \u064a\u062d\u0633\u0628 \u0627\u0644\u062c\u0647\u0627\u0632 \u0633\u0631\u0639\u0629 \u062a\u062f\u0641\u0642 \u0627\u0644\u062f\u0645 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0625\u0632\u0627\u062d\u0629 \u062f\u0648\u0628\u0644\u0631.<\/p>\r\n <\/div>\r\n <\/section>\r\n\r\n <!-- \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629\u061f -->\r\n <section>\r\n <h2 class=\"text-xl font-semibold text-white mb-2\">\u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629\u061f<\/h2>\r\n <div class=\"bg-slate-800\/50 p-4 rounded-lg border border-slate-700\">\r\n <p class=\"text-l text-slate-300\">\u0647\u064a \u0645\u0648\u062c\u0627\u062a \u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629 \u0637\u0648\u0644\u064a\u0629 \u064a\u0632\u064a\u062f \u062a\u0631\u062f\u062f\u0647\u0627 \u0639\u0646 <strong class=\"text-white\">20,000 Hz<\/strong> (\u0623\u0639\u0644\u0649 \u0645\u0646 \u0642\u062f\u0631\u0629 \u0627\u0644\u0625\u0646\u0633\u0627\u0646 \u0639\u0644\u0649 \u0627\u0644\u0633\u0645\u0639). \u0641\u064a \u0627\u0644\u0637\u0628\u060c \u062a\u064f\u0633\u062a\u062e\u062f\u0645 \u062a\u0631\u062f\u062f\u0627\u062a \u0639\u0627\u0644\u064a\u0629 \u062c\u062f\u0627\u064b (2-15 MHz) \u0644\u0642\u062f\u0631\u062a\u0647\u0627 \u0639\u0644\u0649 \u0627\u062e\u062a\u0631\u0627\u0642 \u0627\u0644\u0623\u0646\u0633\u062c\u0629 \u0648\u062a\u0635\u0648\u064a\u0631\u0647\u0627 \u0628\u062f\u0642\u0629.<\/p>\r\n <div class=\"grid grid-cols-3 gap-2 mt-3 text-center\">\r\n <div class=\"bg-black\/30 p-2 rounded\"><span class=\"text-rose-400 font-bold\">\u0627\u0644\u062a\u0631\u062f\u062f<\/span><br><span class=\"text-l\">2 MHz - 15 MHz<\/span><\/div>\r\n <div class=\"bg-black\/30 p-2 rounded\"><span class=\"text-rose-400 font-bold\">\u0627\u0644\u0633\u0631\u0639\u0629 \u0641\u064a \u0627\u0644\u062c\u0633\u0645<\/span><br><span class=\"text-l\">~1540 m\/s<\/span><\/div>\r\n <div class=\"bg-black\/30 p-2 rounded\"><span class=\"text-rose-400 font-bold\">\u0627\u0644\u0646\u0648\u0639<\/span><br><span class=\"text-l\">\u0645\u0648\u062c\u0627\u062a \u0637\u0648\u0644\u064a\u0629 \u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629<\/span><\/div>\r\n <\/div>\r\n <\/div>\r\n <\/section>\r\n\r\n <!-- \u062a\u0623\u062b\u064a\u0631 \u062f\u0648\u0628\u0644\u0631 \u0641\u064a \u0627\u0644\u0637\u0628 -->\r\n <section>\r\n <h2 class=\"text-xl font-semibold text-white mb-2\">\u062a\u0623\u062b\u064a\u0631 \u062f\u0648\u0628\u0644\u0631 (Doppler Effect) \u0641\u064a \u0627\u0644\u0637\u0628<\/h2>\r\n <div class=\"bg-slate-800\/50 p-4 rounded-lg border border-slate-700 mb-4\">\r\n <p class=\"text-l text-slate-300\">\u0639\u0646\u062f\u0645\u0627 \u062a\u0635\u0637\u062f\u0645 \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629 \u0628\u0640 <strong class=\"text-white\">\u0643\u0631\u064a\u0627\u062a \u0627\u0644\u062f\u0645 \u0627\u0644\u062d\u0645\u0631\u0627\u0621 \u0627\u0644\u0645\u062a\u062d\u0631\u0643\u0629<\/strong>\u060c \u062a\u0646\u0639\u0643\u0633 \u0628\u062a\u0631\u062f\u062f \u0645\u062e\u062a\u0644\u0641. \u0647\u0630\u0627 \u0627\u0644\u062a\u063a\u064a\u0631 \u0641\u064a \u0627\u0644\u062a\u0631\u062f\u062f (\u0625\u0632\u0627\u062d\u0629 \u062f\u0648\u0628\u0644\u0631) \u064a\u062a\u0646\u0627\u0633\u0628 \u0637\u0631\u062f\u064a\u0627\u064b \u0645\u0639 \u0633\u0631\u0639\u0629 \u062a\u062f\u0641\u0642 \u0627\u0644\u062f\u0645.<\/p>\r\n <\/div>\r\n\r\n <!-- \u0645\u062d\u0627\u0643\u0627\u0629 \u062f\u0648\u0628\u0644\u0631 \u0627\u0644\u0637\u0628\u064a -->\r\n <div id=\"doppler-simulation\" class=\"simulation-container\"><\/div>\r\n <\/section>\r\n\r\n <!-- \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 -->\r\n <section>\r\n <h2 class=\"text-xl font-semibold text-white mb-2\">\u0643\u064a\u0641 \u064a\u062d\u0633\u0628 \u0627\u0644\u062c\u0647\u0627\u0632 \u0633\u0631\u0639\u0629 \u0627\u0644\u062f\u0645\u061f<\/h2>\r\n <div class=\"bg-sky-900\/20 p-4 rounded-lg border border-sky-500\/30\">\r\n <p class=\"text-l text-sky-100\/80 mb-2\">\u064a\u0642\u0648\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628 \u0627\u0644\u0645\u062a\u0635\u0644 \u0628\u0627\u0644\u0645\u0633\u0628\u0627\u0631 \u0628\u062d\u0633\u0627\u0628 \u0633\u0631\u0639\u0629 \u0627\u0644\u062f\u0645 (v) \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\r\n <div class=\"bg-black\/40 p-3 rounded-xl text-center font-mono text-sky-400 text-xl\">\u0394f = (2 \u00b7 f<sub>t<\/sub> \u00b7 v \u00b7 cos\u03b8) \/ c<\/div>\r\n <div class=\"grid grid-cols-2 md:grid-cols-4 gap-2 mt-3 text-l text-slate-300\">\r\n <p><strong class=\"text-white\">\u0394f:<\/strong> \u0625\u0632\u0627\u062d\u0629 \u062f\u0648\u0628\u0644\u0631<\/p>\r\n <p><strong class=\"text-white\">f<sub>t<\/sub>:<\/strong> \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0645\u0631\u0633\u0644<\/p>\r\n <p><strong class=\"text-white\">v:<\/strong> \u0633\u0631\u0639\u0629 \u0627\u0644\u062f\u0645<\/p>\r\n <p><strong class=\"text-white\">\u03b8:<\/strong> \u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0633\u0628\u0627\u0631<\/p>\r\n <\/div>\r\n <\/div>\r\n <\/section>\r\n\r\n <!-- \u0623\u0646\u0648\u0627\u0639 \u0641\u062d\u0648\u0635\u0627\u062a \u062f\u0648\u0628\u0644\u0631 -->\r\n <section>\r\n <h2 class=\"text-xl font-semibold text-white mb-2\">\u0623\u0646\u0648\u0627\u0639 \u0641\u062d\u0648\u0635\u0627\u062a \u062f\u0648\u0628\u0644\u0631 \u0648\u062a\u0637\u0628\u064a\u0642\u0627\u062a\u0647\u0627<\/h2>\r\n <div class=\"grid grid-cols-1 md:grid-cols-2 gap-4\">\r\n <div class=\"bg-slate-800\/50 p-4 rounded-lg border border-slate-700\">\r\n <h3 class=\"font-bold text-white mb-2\">\u0623\u0646\u0648\u0627\u0639 \u0641\u062d\u0648\u0635\u0627\u062a \u062f\u0648\u0628\u0644\u0631<\/h3>\r\n <ul class=\"list-disc list-inside text-l text-slate-300\">\r\n <li>\u062f\u0648\u0628\u0644\u0631 \u0627\u0644\u0645\u0644\u0648\u0646: \u064a\u064f\u0638\u0647\u0631 \u0633\u0631\u0639\u0629 \u0627\u0644\u062f\u0645 \u0648\u0627\u062a\u062c\u0627\u0647\u0647 \u0643\u0623\u0644\u0648\u0627\u0646.<\/li>\r\n <li>\u062f\u0648\u0628\u0644\u0631 \u0627\u0644\u0646\u0628\u0636\u064a: \u064a\u0633\u0645\u062d \u0628\u0642\u064a\u0627\u0633 \u0627\u0644\u0633\u0631\u0639\u0629 \u0641\u064a \u0648\u0639\u0627\u0621 \u062f\u0645\u0648\u064a \u0645\u062d\u062f\u062f.<\/li>\r\n <li>\u062f\u0648\u0628\u0644\u0631 \u0627\u0644\u0645\u0633\u062a\u0645\u0631: \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u0642\u064a\u0627\u0633 \u0627\u0644\u0633\u0631\u0639\u0627\u062a \u0627\u0644\u0639\u0627\u0644\u064a\u0629 \u062c\u062f\u0627\u064b.<\/li>\r\n <li>\u062f\u0648\u0628\u0644\u0631 \u0627\u0644\u0642\u0648\u0629: \u062d\u0633\u0627\u0633 \u062c\u062f\u0627\u064b \u0644\u0644\u062a\u062f\u0641\u0642\u0627\u062a \u0627\u0644\u0628\u0637\u064a\u0626\u0629 \u062c\u062f\u0627\u064b.<\/li>\r\n <\/ul>\r\n <\/div>\r\n <div class=\"bg-rose-900\/20 p-4 rounded-lg border border-rose-500\/30\">\r\n <h3 class=\"font-bold text-rose-300 mb-2\">\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0637\u0628\u064a\u0629 \u062d\u064a\u0648\u064a\u0629<\/h3>\r\n <ul class=\"list-disc list-inside text-l text-rose-100\/80\">\r\n <li>\u0627\u0644\u0643\u0634\u0641 \u0639\u0646 \u0627\u0644\u062c\u0644\u0637\u0627\u062a \u0627\u0644\u0648\u0631\u064a\u062f\u064a\u0629 \u0648\u062a\u0636\u064a\u0642\u0627\u062a \u0627\u0644\u0634\u0631\u0627\u064a\u064a\u0646.<\/li>\r\n <li>\u0645\u0631\u0627\u0642\u0628\u0629 \u0635\u062d\u0629 \u0627\u0644\u062c\u0646\u064a\u0646 \u0648\u062a\u062f\u0641\u0642 \u0627\u0644\u062f\u0645 \u0625\u0644\u064a\u0647.<\/li>\r\n <li>\u062a\u0642\u064a\u064a\u0645 \u0643\u0641\u0627\u0621\u0629 \u0635\u0645\u0627\u0645\u0627\u062a \u0627\u0644\u0642\u0644\u0628.<\/li>\r\n <li>\u0641\u062d\u0635 \u0627\u0644\u0623\u0639\u0636\u0627\u0621 \u0627\u0644\u0645\u0632\u0631\u0648\u0639\u0629 (\u0627\u0644\u0643\u0644\u0649 \u0648\u0627\u0644\u0643\u0628\u062f).<\/li>\r\n <\/ul>\r\n <\/div>\r\n <\/div>\r\n <\/section>\r\n\r\n <!-- \u0623\u0633\u0626\u0644\u0629 \u0644\u0644\u062a\u0641\u0643\u064a\u0631 -->\r\n <section>\r\n <h2 class=\"text-xl font-semibold text-white mb-2\">\u0623\u0633\u0626\u0644\u0629 \u0644\u0644\u062a\u0641\u0643\u064a\u0631<\/h2>\r\n <div class=\"space-y-3\">\r\n <div class=\"bg-black\/30 p-3 rounded-lg border border-white\/10\">\r\n <p class=\"text-l text-slate-300\">1. \u0644\u0645\u0627\u0630\u0627 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0642\u064a\u0627\u0633 \u0633\u0631\u0639\u0629 \u0627\u0644\u062f\u0645 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u0633\u0628\u0627\u0631 \u0639\u0645\u0648\u062f\u064a\u0627\u064b \u062a\u0645\u0627\u0645\u0627\u064b (\u03b8 = 90\u00b0) \u0639\u0644\u0649 \u0627\u0644\u0648\u0639\u0627\u0621 \u0627\u0644\u062f\u0645\u0648\u064a\u061f<\/p>\r\n <\/div>\r\n <div class=\"bg-black\/30 p-3 rounded-lg border border-white\/10\">\r\n <p class=\"text-l text-slate-300\">2. \u0645\u0627 \u0647\u064a \u0645\u064a\u0632\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0634\u0639\u0629 \u0627\u0644\u0633\u064a\u0646\u064a\u0629 (X-ray) \u0641\u064a \u0641\u062d\u0635 \u0627\u0644\u062d\u0648\u0627\u0645\u0644\u061f<\/p>\r\n <\/div>\r\n <div class=\"bg-black\/30 p-3 rounded-lg border border-white\/10\">\r\n <p class=\"text-l text-slate-300\">3. \u0643\u064a\u0641 \u064a\u0633\u0627\u0639\u062f \"\u062f\u0648\u0628\u0644\u0631 \u0627\u0644\u0645\u0644\u0648\u0646\" \u0627\u0644\u0637\u0628\u064a\u0628 \u0641\u064a \u0627\u0644\u062a\u0639\u0631\u0641 \u0627\u0644\u0633\u0631\u064a\u0639 \u0639\u0644\u0649 \u0648\u062c\u0648\u062f \u0627\u0636\u0637\u0631\u0627\u0628 \u0641\u064a \u062a\u062f\u0641\u0642 \u0627\u0644\u062f\u0645\u061f<\/p>\r\n <\/div>\r\n <\/div>\r\n <\/section>\r\n\r\n <!-- \u062e\u0644\u0627\u0635\u0629 -->\r\n <section>\r\n <h2 class=\"text-xl font-semibold text-white mb-2\">\u062e\u0644\u0627\u0635\u0629 \u0627\u0644\u062f\u0631\u0633 \u0627\u0644\u0625\u062b\u0631\u0627\u0626\u064a<\/h2>\r\n <div class=\"bg-slate-800\/50 p-4 rounded-lg border border-slate-700\">\r\n <p class=\"text-l text-slate-300\">\u062a\u0639\u062f \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629 \u0648\u062a\u0642\u0646\u064a\u0629 \u062f\u0648\u0628\u0644\u0631 \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0625\u0646\u062c\u0627\u0632\u0627\u062a \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0627\u0644\u0637\u0628\u064a\u0629\u060c \u062d\u064a\u062b \u062a\u0633\u0645\u062d \u0644\u0644\u0623\u0637\u0628\u0627\u0621 \u0628\u0645\u0631\u0627\u0642\u0628\u0629 \u062a\u062f\u0641\u0642 \u0627\u0644\u062f\u0645 \u0648\u0627\u0644\u0623\u0639\u0636\u0627\u0621 \u0627\u0644\u062f\u0627\u062e\u0644\u064a\u0629 \u062f\u0648\u0646 \u062c\u0631\u0627\u062d\u0629 \u0623\u0648 \u0625\u0634\u0639\u0627\u0639\u0627\u062a \u0636\u0627\u0631\u0629. \u0641\u0647\u0645 \u0647\u0630\u0647 \u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u064a\u0641\u062a\u062d \u0622\u0641\u0627\u0642\u0627\u064b \u0648\u0627\u0633\u0639\u0629 \u0641\u064a \u0627\u0644\u062a\u0634\u062e\u064a\u0635 \u0648\u0627\u0644\u0639\u0644\u0627\u062c.<\/p>\r\n <\/div>\r\n <\/section>\r\n <\/div>\r\n<\/div>\r\n\r\n<script>\r\n \/\/ ============================================\r\n \/\/ \u0645\u062d\u0627\u0643\u0627\u0629 \u062f\u0648\u0628\u0644\u0631 \u0627\u0644\u0637\u0628\u064a (Doppler Ultrasound Simulation)\r\n \/\/ ============================================\r\n (function() {\r\n const container = document.getElementById('doppler-simulation');\r\n if (!container) return;\r\n\r\n \/\/ \u0628\u0646\u0627\u0621 \u0648\u0627\u062c\u0647\u0629 \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629\r\n const wrapper = document.createElement('div');\r\n wrapper.className = 'bg-slate-900 p-6 rounded-2xl border border-slate-700';\r\n wrapper.setAttribute('dir', 'rtl');\r\n wrapper.innerHTML = `\r\n <h3 class=\"text-xl font-bold text-white mb-4\">\u0645\u062d\u0627\u0643\u0627\u0629 \u0642\u064a\u0627\u0633 \u0633\u0631\u0639\u0629 \u0627\u0644\u062f\u0645 \u0628\u062a\u0623\u062b\u064a\u0631 \u062f\u0648\u0628\u0644\u0631<\/h3>\r\n <div class=\"flex flex-wrap justify-between items-center mb-4 gap-2\">\r\n <button id=\"doppler-toggle\" class=\"px-3 py-1 rounded-lg font-bold transition-colors bg-amber-500 text-black\">\u0625\u064a\u0642\u0627\u0641<\/button>\r\n <\/div>\r\n <div class=\"grid grid-cols-1 lg:grid-cols-4 gap-6\">\r\n <div class=\"lg:col-span-3 relative aspect-video bg-black rounded-xl overflow-hidden border border-slate-700\">\r\n <canvas id=\"doppler-canvas\" width=\"600\" height=\"340\" class=\"w-full h-full block\"><\/canvas>\r\n <\/div>\r\n <div class=\"space-y-4\">\r\n <div class=\"bg-slate-800\/50 p-3 rounded-xl\">\r\n <label class=\"text-l text-slate-400 block mb-1 flex justify-between\"><span>\u0633\u0631\u0639\u0629 \u062a\u062f\u0641\u0642 \u0627\u0644\u062f\u0645 (v)<\/span><span id=\"blood-speed-val\" class=\"text-rose-400 font-bold\">0.80 m\/s<\/span><\/label>\r\n <input id=\"blood-speed\" type=\"range\" min=\"0.1\" max=\"2.0\" step=\"0.1\" value=\"0.8\" class=\"w-full accent-rose-500\">\r\n <\/div>\r\n <div class=\"bg-slate-800\/50 p-3 rounded-xl\">\r\n <label class=\"text-l text-slate-400 block mb-1 flex justify-between\"><span>\u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u0645\u0633\u0628\u0627\u0631 (\u03b8)<\/span><span id=\"probe-angle-val\" class=\"text-amber-400 font-bold\">45\u00b0<\/span><\/label>\r\n <input id=\"probe-angle\" type=\"range\" min=\"0\" max=\"80\" step=\"5\" value=\"45\" class=\"w-full accent-amber-500\">\r\n <p class=\"text-[9px] text-slate-500 mt-1\">\u062a\u0646\u0628\u064a\u0647: \u0639\u0646\u062f \u0632\u0627\u0648\u064a\u0629 90\u00b0 \u062a\u0646\u0639\u062f\u0645 \u0625\u0632\u0627\u062d\u0629 \u062f\u0648\u0628\u0644\u0631 \u0648\u0644\u0627 \u064a\u0645\u0643\u0646 \u0627\u0644\u0642\u064a\u0627\u0633.<\/p>\r\n <\/div>\r\n <div class=\"bg-rose-900\/20 p-3 rounded-xl border border-rose-500\/30\">\r\n <h4 class=\"text-rose-400 font-bold mb-1 text-l\">\u0625\u0632\u0627\u062d\u0629 \u062f\u0648\u0628\u0644\u0631 \u0627\u0644\u0645\u062d\u0633\u0648\u0628\u0629:<\/h4>\r\n <div id=\"doppler-shift\" class=\"text-lg font-bold text-center text-white\">3673 <span class=\"text-l text-slate-500\">Hz<\/span><\/div>\r\n <\/div>\r\n <div class=\"p-3 bg-slate-800\/30 rounded-xl border border-white\/5\">\r\n <div class=\"text-[9px] font-mono text-slate-400 bg-black\/40 p-2 rounded text-center\">\u0394f = (2 \u00b7 f_t \u00b7 v \u00b7 cos\u03b8) \/ c<\/div>\r\n <\/div>\r\n <\/div>\r\n <\/div>\r\n `;\r\n container.appendChild(wrapper);\r\n\r\n \/\/ \u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629\r\n let bloodSpeed = 0.8;\r\n let probeAngle = 45;\r\n let isPlaying = true;\r\n let canvas = document.getElementById('doppler-canvas');\r\n let ctx = canvas.getContext('2d');\r\n let width = 600, height = 340;\r\n canvas.width = width; canvas.height = height;\r\n let particles = [];\r\n let waveOffset = 0;\r\n let animationId = null;\r\n\r\n \/\/ \u0627\u0644\u062b\u0648\u0627\u0628\u062a\r\n const f_t = 5e6; \/\/ 5 MHz\r\n const c = 1540; \/\/ \u0633\u0631\u0639\u0629 \u0627\u0644\u0635\u0648\u062a \u0641\u064a \u0627\u0644\u0623\u0646\u0633\u062c\u0629 m\/s\r\n\r\n function updateDopplerShift() {\r\n const thetaRad = probeAngle * Math.PI \/ 180;\r\n const delta_f = (2 * f_t * bloodSpeed * Math.cos(thetaRad)) \/ c;\r\n document.getElementById('doppler-shift').innerHTML = delta_f.toFixed(0) + ' <span class=\"text-l text-slate-500\">Hz<\/span>';\r\n }\r\n\r\n function initParticles() {\r\n particles = [];\r\n for (let i = 0; i < 40; i++) {\r\n particles.push({\r\n x: Math.random() * width,\r\n y: 180 + (Math.random() - 0.5) * 40,\r\n });\r\n }\r\n }\r\n\r\n function drawDoppler() {\r\n ctx.clearRect(0, 0, width, height);\r\n const centerX = width \/ 2;\r\n const centerY = height \/ 2;\r\n\r\n \/\/ \u0627\u0644\u0634\u0631\u064a\u0627\u0646\r\n ctx.fillStyle = 'rgba(239, 68, 68, 0.1)';\r\n ctx.fillRect(0, 150, width, 100);\r\n ctx.strokeStyle = 'rgba(239, 68, 68, 0.3)';\r\n ctx.lineWidth = 2;\r\n ctx.strokeRect(0, 150, width, 100);\r\n\r\n \/\/ \u0633\u0637\u062d \u0627\u0644\u062c\u0644\u062f\r\n ctx.strokeStyle = '#fbbf24';\r\n ctx.lineWidth = 1;\r\n ctx.beginPath();\r\n ctx.moveTo(0, 100);\r\n ctx.lineTo(width, 100);\r\n ctx.stroke();\r\n ctx.fillStyle = 'rgba(251, 191, 36, 0.05)';\r\n ctx.fillRect(0, 100, width, 50);\r\n\r\n \/\/ \u0627\u0644\u0645\u0633\u0628\u0627\u0631\r\n const probeX = centerX;\r\n const probeY = 80;\r\n ctx.save();\r\n ctx.translate(probeX, probeY);\r\n ctx.rotate((90 - probeAngle) * Math.PI \/ 180);\r\n ctx.fillStyle = '#475569';\r\n ctx.fillRect(-15, -10, 30, 20);\r\n ctx.fillStyle = '#94a3b8';\r\n ctx.fillRect(-12, 10, 24, 5);\r\n\r\n \/\/ \u062d\u0632\u0645\u0629 \u0627\u0644\u0645\u0648\u062c\u0627\u062a \u0641\u0648\u0642 \u0627\u0644\u0635\u0648\u062a\u064a\u0629\r\n if (isPlaying) {\r\n waveOffset += 2;\r\n ctx.strokeStyle = 'rgba(56, 189, 248, 0.4)';\r\n ctx.setLineDash([5, 5]);\r\n ctx.beginPath();\r\n ctx.moveTo(0, 15);\r\n ctx.lineTo(0, 150);\r\n ctx.stroke();\r\n ctx.setLineDash([]);\r\n\r\n for (let i = 0; i < 5; i++) {\r\n const r = (waveOffset + i * 30) % 120;\r\n ctx.beginPath();\r\n ctx.arc(0, 15, r, -0.2, 0.2);\r\n ctx.stroke();\r\n }\r\n }\r\n ctx.restore();\r\n\r\n \/\/ \u062c\u0633\u064a\u0645\u0627\u062a \u0627\u0644\u062f\u0645\r\n for (let p of particles) {\r\n p.x += bloodSpeed * 5;\r\n if (p.x > width) p.x = -10;\r\n\r\n ctx.fillStyle = '#ef4444';\r\n ctx.beginPath();\r\n ctx.arc(p.x, p.y, 3, 0, 2 * Math.PI);\r\n ctx.fill();\r\n\r\n \/\/ \u0627\u0644\u0627\u0646\u0639\u0643\u0627\u0633\r\n const probeXWorld = centerX;\r\n const probeYWorld = 80;\r\n const angleRad = (90 - probeAngle) * Math.PI \/ 180;\r\n const lineDirX = Math.sin(angleRad);\r\n const lineDirY = Math.cos(angleRad);\r\n const dx = p.x - probeXWorld;\r\n const dy = p.y - probeYWorld;\r\n const t = (dx * lineDirX + dy * lineDirY) \/ (lineDirX * lineDirX + lineDirY * lineDirY);\r\n const closestX = probeXWorld + t * lineDirX;\r\n const closestY = probeYWorld + t * lineDirY;\r\n const distToBeam = Math.hypot(p.x - closestX, p.y - closestY);\r\n if (distToBeam < 15 && t > 0 && t < 120) {\r\n 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document.getElementById('probe-angle-val').innerText = probeAngle + '\u00b0';\r\n updateDopplerShift();\r\n }\r\n\r\n document.getElementById('blood-speed').addEventListener('input', updateFromInputs);\r\n document.getElementById('probe-angle').addEventListener('input', updateFromInputs);\r\n document.getElementById('doppler-toggle').addEventListener('click', () => {\r\n isPlaying = !isPlaying;\r\n if (isPlaying) {\r\n document.getElementById('doppler-toggle').className = 'px-3 py-1 rounded-lg font-bold transition-colors bg-amber-500 text-black';\r\n document.getElementById('doppler-toggle').innerHTML = '\u0625\u064a\u0642\u0627\u0641';\r\n drawDoppler();\r\n } else {\r\n document.getElementById('doppler-toggle').className = 'px-3 py-1 rounded-lg font-bold transition-colors bg-emerald-600 text-white';\r\n document.getElementById('doppler-toggle').innerHTML = '\u062a\u0634\u063a\u064a\u0644';\r\n if (animationId) cancelAnimationFrame(animationId);\r\n }\r\n });\r\n\r\n initParticles();\r\n updateDopplerShift();\r\n drawDoppler();\r\n 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