{"id":36498,"date":"2025-04-23T17:13:28","date_gmt":"2025-04-23T09:13:28","guid":{"rendered":"http:\/\/www.qiusir.com\/?p=36498"},"modified":"2025-04-23T17:13:28","modified_gmt":"2025-04-23T09:13:28","slug":"%e5%85%b3%e4%ba%8e%e5%91%a8%e6%9c%9f%e7%9a%84%e8%af%be%e5%a0%82%e8%ae%b0%e5%ae%9e","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=36498","title":{"rendered":"\u5173\u4e8e\u5468\u671f\u7684\u8bfe\u5802\u8bb0\u5b9e"},"content":{"rendered":"

JQX\/\u8fdb\u53d6\u82af \u5c0f\u6559\u7814\u7b2c\u56db\u671f\uff082025.4.16\uff09
\n\"\"
\n\u5173\u4e8e\u5468\u671f\uff1a
\nQiusir\u4ee5\u5b66\u751f\u968f\u610f\u53d1\u6325\uff08\u610f\u8bc6\u6d41\uff09\u7684\u5f62\u5f0f\u5e26\u9886\u5b66\u751f\uff08\u65b0\u7586\u90e8\uff09\u603b\u7ed3\u9ad8\u4e2d\u5f88\u591a\u5173\u4e8e\u5468\u671f\u7684\u6982\u5ff5\u3002
\n1. \u5706\u5468\u8fd0\u52a8\u7684\u5468\u671f\uff1a\\(T = \\frac{2\\pi R}{V}\\)
\n2. \u5355\u6446\u5468\u671f\u516c\u5f0f\uff1a\\(T = 2\\pi \\sqrt{\\frac{L}{g}}\\)
\n3. \u8fd1\u5730\uff08\u201c\u8d34\u5730\u201d\uff09\u536b\u661f\u901f\u5ea6\uff1a\u7531\\(\\frac{GMm}{R^2} = m \\frac{v^2}{R} = mg\\)\uff0c\\(v = \\sqrt{\\frac{GM}{R}} = \\sqrt{gR}\\)\uff0c\u518d\u4ee3\u5165\\(T = \\frac{2\\pi R}{V}\\)\uff0c\\(T = \\frac{2\\pi R}{V} = \\frac{2\\pi R}{\\sqrt{gR}} = 2\\pi \\sqrt{\\frac{R}{g}}\\)\u3002\uff08\u6b64\u516c\u5f0f\u9664\u4e86\u5173\u8054\u534a\u5f84\u4e3aR\u69fd\u5185\u5c0f\u89d2\u5ea6\u6446\u52a8\u5468\u671f\uff0c\u4e5f\u53ef\u4ee5\u62d3\u5c55\u5230\u5730\u7403\u4e0a\u65e0\u9650\u6446\u957f\u7684\u5468\u671f\uff09<\/p>\n

4. \u6254\u51fa\u4e00\u4e2a\u7c89\u7b14\u5934\uff0c\u5982\u679c\u529b\u6c14\u8db3\u591f\u5927\uff0c\u5b83\u53ef\u4ee5\u53d8\u6210\u4e00\u9897\u8fd1\u5730\u536b\u661f\u3002\u90a3\u4e48\uff0c\u5b83\u4e00\u5708\u7ed5\u5730\u7403\u6240\u9700\u7684\u65f6\u95f4\u662f\u591a\u5c11\u5462\uff1f\u6211\u4eec\u77e5\u9053\uff0c\u540c\u6b65\u536b\u661f\u7684\u5468\u671f\u662f 24 \u5c0f\u65f6\uff0c\u5176\u8f68\u9053\u534a\u5f84\u7ea6\u4e3a 36000 \u516c\u91cc\u3002\u6839\u636e\u5f00\u666e\u52d2\u7b2c\u4e09\u5b9a\u5f8b\uff0c\u8d8a\u9760\u8fd1\u5730\u7403\u7684\u536b\u661f\u5468\u671f\u8d8a\u77ed\u3002\u8fd1\u5730\u536b\u661f\u7684\u5468\u671f\u7ea6\u4e3a 84 \u5206\u949f\u3002
\nQiusir \u5728\u521a\u5230\u9ad8\u4e2d\u90e8\u4efb\u6559\u65f6\u7684\u5f00\u5b66\u7b2c\u4e00\u8bfe\u91cc\uff0c\u8bb2\u4e86\u8fd9\u6837\u4e00\u4e2a\u4f8b\u5b50\uff1a\u5b66\u751f\u5c31\u50cf\u5728\u6700\u5185\u5708\u76841\u53f7\u8f68\u9053\uff0c\u8f68\u9053\u534a\u5f84\u6700\u5c0f\uff0c\u4e00\u5929\u4e0a\u516b\u4e5d\u8282\u8bfe\uff0c\u5fd9\u5fd9\u788c\u788c\uff1b\u8001\u5e08\u662f2\u53f7\u8f68\u9053\u7684\u536b\u661f\uff0c\u534a\u5f84\u5927\u4e9b\uff0c\u6bcf\u5929\u53ea\u4e0a\u4e00\u8282\u8bfe\uff1b\u800c\u6821\u957f\u5219\u662f\u6700\u8fdc\u76843\u53f7\u8f68\u9053\uff0c\u4e00\u5e74\u6765\u4e0d\u4e86\u4e00\u6b21\u3002\u5728\u8fd9\u4e09\u4e2a\u8f68\u9053\u4e2d\uff0c\u5b66\u751f\u7684\u901f\u5ea6\u6700\u5927\u3002\u5982\u679c\u5047\u8bbe\u4e09\u8005\u8d28\u91cf\u76f8\u540c\uff0c\u5b66\u751f\u7684\u52a8\u80fd\u4e5f\u6700\u5927\u3002\u90a3\u4e48\u5b66\u751f\u7684\u80fd\u91cf\u6700\u5927\u5417\uff1f\u6821\u957f\u7684\u80fd\u91cf\u6700\u5c0f\u5417\uff1fQiusir \u8bdd\u950b\u4e00\u8f6c\uff0c\u8bf4\u9053\uff1a\u80fd\u91cf\u9664\u4e86\u52a8\u80fd\uff0c\u8fd8\u6709\u52bf\u80fd\u3002\u8fc7\u53bb\u6211\u4eec\u79f0\u4e4b\u4e3a\u201c\u4f4d\u80fd\u201d\u3002\u6821\u957f\u867d\u7136\u901f\u5ea6\u6700\u5c0f\u3001\u5468\u671f\u6700\u957f\uff0c\u4f46\u793e\u4f1a\u8d4b\u4e88\u4e86\u4ed6\u7279\u6b8a\u7684\u4f4d\u7f6e\u3002\u4ece\u80fd\u91cf\u7684\u89d2\u5ea6\u770b\uff0c\u603b\u80fd\u91cf\u662f\u52a8\u80fd\u52a0\u52bf\u80fd\u3002\u4e8e\u662f\uff0c\u6821\u957f\u7684\u603b\u80fd\u91cf\u53cd\u800c\u662f\u6700\u5927\u7684\u3002\u4ece\u81ea\u7136\u754c\u7684\u6cd5\u7406\u51fa\u53d1\uff0c\u5927\u4eba\u7269\u4e0d\u5fc5\u50cf\u5c0f\u4eba\u7269\u90a3\u6837\u65e5\u591c\u5954\u6ce2\uff0c\u800c\u662f\u4ee5\u4e00\u79cd\u7f13\u6162\u800c\u5b8f\u5927\u7684\u65b9\u5f0f\u8fd0\u8f6c\u3002\u6211\u4eec\u4e4b\u6240\u4ee5\u52aa\u529b\u8bfb\u4e66\uff0c\u6216\u8bb8\u6b63\u662f\u5e0c\u671b\u5c06\u6765\u4e5f\u80fd\u6210\u4e3a\u90a3\u79cd\u201c\u522b\u4eba\u4e00\u8f88\u5b50\u4e5f\u89c1\u4e0d\u5230\u4f60\u4e00\u6b21\u201d\u7684\u4eba\u3002\u5c31\u50cf\u6ce2\u5c14\u7684\u6c22\u539f\u5b50\u6a21\u578b\u4e2d\uff0c\u8f68\u9053\u8d8a\u9ad8\uff0c\u80fd\u7ea7\u8d8a\u9ad8\u2014\u2014\u8fd9\u548c\u4e07\u6709\u5f15\u529b\u6a21\u578b\u4e0b\u7684\u5929\u4f53\u8fd0\u52a8\u662f\u76f8\u901a\u7684\u3002\u5f00\u666e\u52d2\u7b2c\u4e09\u5b9a\u5f8b\u5199\u4f5c\\(\\frac{a^3}{T^2} = k\\)\uff0c\u692d\u5706\u9000\u5316\u4e3a\u5706\uff0c\u5373\\(\\frac{r^3}{T^2} = k\\)\u3002\u7ed3\u5408\u5f15\u529b\u63d0\u4f9b\u5411\u5fc3\u529b\uff1a\\(\\frac{GMm}{r^2} = m \\cdot \\frac{4\\pi^2 r}{T^2}\\) \u53ef\u5f97:\\(k = \\frac{GM}{4\\pi^2}\\)\uff0c\u8fd9\u4e2a\u6bd4\u4f8b\u5e38\u6570\u53ea\u4e0e\u4e2d\u5fc3\u5929\u4f53\u7684\u8d28\u91cf\u6709\u5173\u3002\uff08\u77e5\u9053\u548c\u7406\u89e3\u662f\u4e24\u4e2a\u5c42\u6b21\u3002\uff09<\/p>\n

5. qiusir\u53eb\u8d77\u6765\u4e00\u4e2a\u5934\u53d1\u5f88\u9177\u7684\u5973\u751f\uff0cqiusir\u5f00\u73a9\u7b11\u8bf4\u50cf\u7231\u56e0\u65af\u5766\uff0c\u6211\u56de\u5230\u529e\u516c\u5ba4\u548c\u540c\u4e8b\u5206\u4eab\u4e86\u8fd9\u4e00\u4e2a\u89c2\u70b9\uff0c\u5927\u5bb6\u90fd\u89c9\u5f97\u5341\u5206\u8d34\u5207\uff0c\u6211\u4e5f\u6709\u540c\u6837\u7684\u611f\u89c9\uff0c\u751a\u81f3\u60cb\u60dc\u8eab\u4e3a\u7269\u7406\u8001\u5e08\u7684\u6211\u5c45\u7136\u6ca1\u6709\u53d1\u73b0\u8fd9\u4e2a\u53ef\u7231\u7684\u5973\u5b69\u4e0e\u8fd9\u4f4d\u4f1f\u5927\u7269\u7406\u5b66\u5bb6\u7684\u76f8\u4f3c\u4e4b\u5904\u3002\u5f39\u7c27\u632f\u5b50\u7684\u5468\u671f\uff1a\\(T = 2\\pi \\sqrt{\\frac{m}{k}}\\)\uff0c\u632f\u5b50\u8d28\u91cf\u8d8a\u5927\uff0c\u52a8\u7684\u8d8a\u6162\uff0c\u5f39\u7c27\u7684\u52b2\u5ea6\u7cfb\u6570\u8d8a\u5927\uff0c\u52a8\u7684\u8d8a\u5feb\u3002
\n\u7269\u7406\u4e4b\u96be\uff0c\u4e0d\u5728\u7406\uff0c\u800c\u5728\u7269\u3002<\/strong>
\n6. LC\u9707\u8361\u7535\u8def\u7684\u5468\u671f\uff1a\\(T = 2\\pi \\sqrt{LC}\\)\u3002\u4ece\u53e6\u5916\u4e00\u4e2a\u89d2\u5ea6\u601d\u8003\u8fd9\u4e2a\u95ee\u9898\uff1a\u5bf9\u4e8e\u5f39\u7c27\u632f\u5b50\uff1a\\(-kx = m\\ddot{x}\\)\uff0c\u5bf9\u4e8eLC\u9707\u8361\u7535\u8def\uff1a\\(-L \\frac{d^2 Q}{dt^2} = \\frac{Q}{C}\\)\uff0c\u5316\u7b80\u4e3a\uff1a\\(\\ddot{Q} = -\\frac{1}{LC} Q\\)\uff0c\u4e8c\u8005\u5728\u5fae\u5206\u65b9\u7a0b\u4e0a\u5341\u5206\u63a5\u8fd1\uff0c\u6240\u4ee5\u6709\u76f8\u4f3c\u7684\u7269\u7406\u89c4\u5f8b\u3002
\n7. \u79d2\u6446\u7684\u5468\u671f\uff1a\\(T = 2\\pi \\sqrt{\\frac{l}{g}} \\approx 2s\\)\uff0c\u5176\u4e2d\\(\\pi^2 \\approx g\\)\u3002\uff08\u5f88\u65e9\u4ee5\u524d\u662f\u6709\u4e2a\u79d2\u6446\u7684\u6982\u5ff5\uff09<\/p>\n

8. \u8fd9\u4f4d\u5973\u5b69\u6ca1\u6709\u9000\u7f29\uff0c\u9009\u62e9\u7ee7\u7eed\u56de\u7b54\u95ee\u9898\u3002\u4e24\u4e2a\u5c0f\u7403\uff0c\u7f16\u53f7 1 \u548c 2\uff0c\u60ac\u6302\u5728\u540c\u6837\u9ad8\u5ea6h\u7684\u70b9\u4e0a\uff0c\u5f62\u6210\u5706\u9525\u6446\uff0c1 \u53f7\u7403\u7684\u6446\u52a8\u534a\u5f84\u8f83\u5c0f\uff0c2 \u53f7\u7403\u7684\u534a\u5f84\u8f83\u5927\u3002\u8c01\u7684\u89d2\u901f\u5ea6\u5927\u5462\uff1f \\(a_n = g \\tan\\theta = \\omega^2 r = \\omega^2 h \\tan\\theta\\)\uff0c\u63a8\u51fa\\(\\omega = \\sqrt{\\frac{g}{h}}\\)\u3002\u2014\u2014\u4e0e\u534a\u5f84\u65e0\u5173\uff0c\u4ec5\u4e0e\u6446\u9524\u5230\u60ac\u70b9\u7684\u5782\u76f4\u9ad8\u5ea6\u6709\u5173\u3002\u6240\u4ee5\uff0c\u53ea\u8981h \u76f8\u540c\uff0c1 \u548c 2 \u53f7\u7403\u7684\u89d2\u901f\u5ea6\u4e5f\u662f\u76f8\u540c\u7684\u3002\u5982\u679c\u505a\u5706\u9525\u6446\u7684\u4e24\u4e2a\u5c0f\u74033\u548c4\uff0c\u534a\u5f84\u76f8\u540c\uff0c3\u8ddd\u79bb\u60ac\u70b9\u7684\u9ad8\u5ea6\u66f4\u4f4e\uff0c\u8c01\u7684\u89d2\u901f\u5ea6\u5927\u5462\uff1f\u6839\u636e\u540c\u6837\u7684\u516c\u5f0f\uff0c\\(\\omega = \\sqrt{\\frac{g}{h}}\\)\uff0c3\u53f7\u7403\u7684h\u66f4\u5c0f\uff0c\u6240\u4ee5\u89d2\u901f\u5ea6\u66f4\u5927\u3002<\/p>\n

9. \u201c\u7231\u56e0\u65af\u5766\u201d\u540e\u9762\u7684\u4e00\u4e2a\u50cf\u968f\u65f6\u62d4\u51fa\u5200\u7684\u5251\u5ba2\u540c\u5b66\uff1a\u4e24\u4e2a\u5c0f\u7403\uff0c\u5206\u522b\u653e\u5728\u4e24\u4e2a\u5411\u4e0b\u7684\u5149\u6ed1\u5706\u9525\u5185\u6ed1\u52a8\uff0c1 \u53f7\u7403\u5728\u9525\u89d2\u8f83\u5c0f\u7684\u5706\u9525\u91cc\uff0c2 \u53f7\u7403\u5728\u9525\u89d2\u8f83\u5927\u7684\u5706\u9525\u4e0a\u3002\u867d\u7136\u4e24\u4e2a\u5c0f\u7403\u7684\u9ad8\u5ea6\u76f8\u540c\uff0c\u4f46\u8fd0\u52a8\u534a\u5f84\u4e0d\u540c\u3002\u7b2c\u4e00\u79cd\u601d\u8def\uff1a\\(v = \\sqrt{gh}\\)\uff08\u8fd9\u4e2a\u516c\u5f0f\u53ef\u4ee5\u7528\u524d\u9762\u89d2\u901f\u5ea6\u7684\u4e8c\u7ea7\u7ed3\u8bba\u63a8\u5bfc\uff0c\u800c\u4e14\u7c7b\u6bd4\u69fd\u6700\u9ad8\u70b9\u6700\u5c0f\u901f\u5ea6\u516c\u5f0f\u4fbf\u4e8e\u8bb0\u5fc6\uff09\uff0c\u4e24\u4e2a\u5c0f\u7403\u5177\u6709\u76f8\u540c\u7684\u7ebf\u901f\u5ea6\uff0c\u534a\u5f84\u8d8a\u5927\u7684\u5c0f\u7403\u5411\u5fc3\u52a0\u901f\u5ea6\u8d8a\u5c0f\u3002\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u662f\u628a\u652f\u6301\u529b\u7b49\u6548\u4e3a\u7ef3\u7684\u62c9\u529b\uff0c\u628a\u5706\u9525\u6a21\u578b\u7b49\u6548\u4e3a\u5706\u9525\u6446\u7684\u6a21\u578b\uff0c\u6839\u636e\\(\\omega = \\sqrt{\\frac{g}{h}}\\)\uff0c\u534a\u5f84\u5927\u7684h\u5927\uff0c\u6240\u4ee5\u89d2\u901f\u5ea6\u66f4\u5c0f\u3002<\/p>\n

10. \u6d6a\u6f2b\u7684Qiusir\u60f3\u53eb\u4e00\u4e2a\u6709\u5973\u670b\u53cb\u7684\u540c\u5b66\uff0c\u4e00\u4e2a\u540c\u5b66\u6070\u597d\u5728\u90a3\u4e00\u77ac\u95f4\u6320\u5934\uff0c\u88abqiusir\u4ee5\u4e3e\u624b\u4e3a\u7531\u53eb\u4e86\u8d77\u6765\uff0c\u73b0\u5728\u56de\u60f3\uff0c\u6320\u5934\u5230\u5e95\u662f\u51fa\u4e8e\u5934\u75d2\u8fd8\u662f\u51fa\u4e8e\u4e00\u4e2a\u5e74\u8f7b\u4eba\u7684\u6d6a\u6f2b\uff0c\u6211\u4e5f\u4e0d\u5f97\u800c\u77e5\u3002\u5947\u5999\u7684\u662f\uff0c\u4e0e\u8fd9\u4e2a\u7537\u751f\u6709\u7740\u6df1\u523b\u53cb\u8c0a\u7684\u6b63\u662f\u201c\u7231\u56e0\u65af\u5766\u201d\u540c\u5b66\u3002\u7231\u56e0\u65af\u5766\u8bf4\u8fc7\uff1a\u201dAny fool can know. The point is to understand.\u201d\u77e5\u9053\uff0c\u662f\u5165\u95e8\uff1b\u7406\u89e3\uff0c\u624d\u662f\u5165\u53e3\u3002qiusir\u5728\u4ed6\u7684\u5c0f\u84dd\u4e66\u300a\u6c42\u5e08\u5f97\u00b7\u62fe\u5e74\u300b\u91cc\u5199\u8fc7\u8fd9\u6837\u4e00\u53e5\uff1a\u201c\u6709\u4e00\u79cd\u4eb2\u5bc6\u53eb\u60fa\u60fa\u76f8\u60dc\uff0c\u6709\u4e00\u79cd\u8fdc\u79bb\u53eb\u8c8c\u5408\u795e\u79bb\u201d\u3002\u771f\u6b63\u7684\u4eb2\u5bc6\u5e76\u975e\u6bcf\u65e5\u53ae\u5b88\uff0c\u6709\u65f6\u5019\uff0c\u7a7a\u95f4\u4e0a\u7684\u9760\u8fd1\u63a9\u76d6\u4e0d\u4e86\u7cbe\u795e\u4e16\u754c\u7684\u758f\u8fdc\u3002\u7269\u7406\u4e2d\u8bb2\u201c\u5206\u79bb\u201d\uff0c\u5e38\u5e38\u662f\u63a5\u89e6\u5374\u6ca1\u6709\u6324\u538b\u3002\u4eba\u4e0e\u4eba\u4e4b\u95f4\u4e5f\u662f\u5982\u6b64\uff0c\u5982\u679c\u4e16\u754c\u89c2\u4e0d\u4e00\u6837\uff0c\u5373\u4f7f\u5750\u5728\u4e00\u8d77\uff0c\u4e24\u4e2a\u4eba\u7684\u5fc3\u4e5f\u662f\u8fdc\u79bb\u7684\uff0c\u800c\u5730\u7403\u4e0e\u6708\u4eae\u59cb\u7ec8\u4e0d\u8fdc\u4e0d\u8fd1\u5730\u76f8\u4f34\u7740\uff0c\u5b83\u4eec\u4e4b\u95f4\uff0c\u6709\u4e00\u79cd\u9759\u9ed8\u800c\u6052\u4e45\u7684\u4eb2\u5bc6\u3002qiusir\u5206\u4eab\u4e86\u4ee5\u524d\u7684\u5b66\u751f\u5199\u8fc7\u6700\u597d\u7684\u60c5\u8bd7\uff1a\u201c\u4e0d\u5728\u4f60\u5de6\u53f3\uff0c\u5374\u88ab\u4f60\u5de6\u53f3\u201d\u3002\u5047\u8bbe\u5730\u7403\u5f00\u8bbe\u4e86\u4e00\u4e2a\u8d2f\u7a7f\u5730\u5fc3\u7684\u5730\u4e0b\u94c1\uff0c\u4e00\u8d9f\u65c5\u7a0b\u5927\u6982\u9700\u898142min\u3002\u8fd9\u4f4d\u7537\u540c\u5b66\u8fd9\u65f6\u731b\u5730\u4e00\u8e6c\uff0c\u628a\u81ea\u5df1\u53d8\u6210\u4e00\u9897\u8fd1\u5730\u536b\u661f\u4ece\u5730\u7403\u4e00\u7aef\u98de\u5230\u53e6\u4e00\u7aef\u7684\u65f6\u95f4\u2014\u2014\u4e5f\u662f42min\uff0c\u800c\u6bd4\u65f6\u95f4\u66f4\u52a8\u4eba\u7684\u662f\u4e24\u4e2a\u4eba\u7684\u4f4d\u7f6e\u59cb\u7ec8\u76f8\u5bf9\uff0c\u5728\u6574\u4e2a\u65c5\u9014\u4e2d\u65f6\u523b\u5bf9\u5e94\uff0c\u8fd9\u624d\u662f\u7269\u7406\u4e2d\u7684\u6d6a\u6f2b\uff0c\u8fd9\u624d\u662f\u65c5\u884c\u4e2d\u7684\u5fc3\u5fc3\u76f8\u5370\u3002<\/p>\n

11. \u8d28\u91cf\u4e3a\u548c\u7684\u4e24\u4e2a\u5c0f\u7403\uff0c\u7528\u4e00\u6839\u52b2\u5ea6\u7cfb\u6570\u4e3ak \u7684\u8f7b\u5f39\u7c27\u8fde\u63a5\u3002\u5ffd\u7565\u6469\u64e6\u548c\u5176\u4ed6\u5916\u529b\u3002\u6c42\u4e24\u4e2a\u5c0f\u7403\u5728\u4e00\u7ef4\u5e73\u9762\u4e0a\u7684\u8fd0\u52a8\u5468\u671f\u3002
\n\u65b9\u6cd5\u4e00\uff1a\u7528\u738b\u806a\u65b9\u6cd5\u753b\u51fa\u4e24\u4e2a\u5c0f\u7403\u7684\u901f\u5ea6\u65f6\u95f4\u56fe\u50cf\uff0c\u8bbe\u4e24\u4e2a\u5c0f\u7403\u8fbe\u5230\u5171\u901f\u662f\u5f39\u7c27\u7684\u5f62\u53d8\u91cf\u4e3ax\uff0c\u7531\u56fe\u50cf\u53ef\u4ee5\u770b\u51fa\u3001\u4e24\u4e2a\u5c0f\u7403\u5404\u81ea\u7684\u4f4d\u79fb\u5927\u5c0f\u5206\u522b\u4e3a\\(x_1 = \\frac{m_2}{m_1 + m_2} \\cdot x\\)\u548c\\(x_2 = \\frac{m_1}{m_1 + m_2} \\cdot x\\)\u3002\u4e24\u4e2a\u5c0f\u7403\u76f8\u5bf9\u8d28\u5fc3\u5206\u522b\u505a\u7b80\u8c10\u632f\u52a8\uff0c\u7b49\u6548\u52b2\u5ea6\u7cfb\u6570\u4e3a\\(k’_1 = \\frac{m_1 + m_2}{m_2} \\cdot k = m_1 \\cdot k\\)\uff0c\u56e0\u6b64\u5c0f\u7403\u7684\u632f\u52a8\u5468\u671f\u4e3a\\(T = 2\\pi \\sqrt{ \\frac{m_1}{k’_1} } = 2\\pi \\sqrt{ \\frac{m_1 m_2}{(m_1 + m_2)k} }\\)\u3002
\n\u65b9\u6cd5\u4e8c\uff1a
\n\u5b9a\u4e49\u4e24\u4e2a\u8d28\u70b9\u7684\u4f4d\u7f6e\u4e3a\uff0c\\( x_1\\)\uff0c\\( x_2\\)\u5219\u5f39\u7c27\u7684\u4f38\u7f29\u91cf\u4e3a\\(x(t) = x_1(t) – x_2(t)\\)
\n\u3002\u6839\u636e\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b\uff0c\u4e24\u4e2a\u5c0f\u7403\u5206\u522b\u6ee1\u8db3\uff1a\\(m_1 \\ddot{x}_1 = -k(x_1 – x_2)\\)\uff0c\\(m_2 \\ddot{x}_2 = +k(x_1 – x_2)\\)\u3002\u76f8\u5bf9\u4f4d\u79fb\u7684\u4e8c\u9636\u5bfc\u4e3a\uff1a\\(\\ddot{x} = \\ddot{x}_1 – \\ddot{x}_2= -\\left( \\frac{k}{m_1} + \\frac{k}{m_2} \\right) x= -k\\left( \\frac{1}{m_1} + \\frac{1}{m_2} \\right) x\\)\u3002\u5f15\u5165\u7ea6\u5316\u8d28\u91cf\\(\\mu = \\left( \\frac{1}{\\frac{1}{m_1} + \\frac{1}{m_2}} \\right) = \\frac{m_1 m_2}{m_1 + m_2}\\)\uff0c\u4ece\u800c\u7cfb\u7edf\u7684\u76f8\u5bf9\u4f4d\u79fb\u6ee1\u8db3\uff1a\\(\\mu \\ddot{x} = -k x \\quad \\Rightarrow \\quad \\ddot{x} + \\frac{k}{\\mu} x = 0\\)\uff0c\u8fd9\u662f\u7b80\u8c10\u8fd0\u52a8\u7684\u6807\u51c6\u5f62\u5f0f\uff0c\u5176\u632f\u52a8\u5468\u671f\u4e3a\uff1a\\(T = 2\\pi \\sqrt{ \\frac{\\mu}{k} }= 2\\pi \\sqrt{ \\frac{m_1 m_2}{(m_1 + m_2)k} }\\)\u3002<\/p>\n


\nJQX|Xiao<\/center>
\n\u5728qiusir\u7684\u8bfe\u4e0a\u6709\u6768\u5229\u4f1f\u4e00\u5929\u770b\u5341\u516d\u6b21\u65e5\u843d\u7684\u4f24\u611f\uff0c\u4e5f\u6709\u201c\u6709\u4e00\u79cd\u4eb2\u5bc6\u53eb\u60fa\u60fa\u76f8\u60dc\uff0c\u6709\u4e00\u79cd\u8fdc\u79bb\u53eb\u8c8c\u5408\u795e\u79bb\u201d\u7684\u550f\u5618\uff0c\u8fd8\u6709\u201c\u4e0d\u88ab\u4f60\u5de6\u53f3\uff0c\u5374\u88ab\u4f60\u5de6\u53f3\u201d\u7684\u6d6a\u6f2b\uff0c\u7269\u7406\u7684\u96be\u4e0d\u5728\u7406\u800c\u5728\u7269\uff0c\u7406\u662f\u53ef\u4ee5\u8bb0\uff0c\u53ef\u4ee5\u80cc\u7684\uff0c\u4f46\u7269\u662f\u6211\u4eec\u751f\u6d3b\u7684\u8fd9\u4e2a\u5927\u5343\u4e16\u754c\uff0c\u53ef\u80fdqiusir\u8bb2\u7684\u66f4\u591a\u7684\u662f\u201c\u7269\u201d\uff0c\u800c\u628a\u201c\u7406\u201d\u4ea4\u7ed9\u5b66\u751f\u81ea\u5df1\u53bb\u63a2\u7d22\uff0c\u4e0a\u8bfe\u4ecb\u7ecd\u65f6\u6709\u53e5\u8bdd\u6211\u5fd8\u4e86\u8bf4\uff0c\u201c\u867d\u7136\u53ea\u6709\u77ed\u77ed\u56db\u5341\u5206\u949f\uff0c\u6211\u76f8\u4fe1\u5927\u5bb6\u4e00\u5b9a\u4f1a\u6709\u5f88\u591a\u6536\u83b7\uff0c\u53ef\u80fd\u662f\u7269\u7406\u65b9\u9762\u7684\uff0c\u53ef\u80fd\u4e0d\u6b62\u4e8e\u7269\u7406\u201d\u3002<\/p>\n

\u3010\u4e0b\u671f\u9884\u544a\u3011\u5149\u7684\u5e72\u6d89—\u8584\u819c\u7684\u5965\u79d8
\n\u4f60\u662f\u5426\u66fe\u88ab\u80a5\u7682\u6ce1\u8868\u9762\u7684\u7eda\u4e3d\u8272\u5f69\u5438\u5f15\uff1f\u662f\u5426\u597d\u5947\u6cb9\u819c\u4e0a\u7684\u6591\u6593\u6761\u7eb9\u4ece\u4f55\u800c\u6765\uff1f
\n\u4e0b\u4e00\u671f\uff0c\u91d1\u8001\u5e08\u5c06\u4ee5\u516c\u5f00\u8bfe\u7684\u5f62\u5f0f\uff0c\u4eb2\u624b\u5236\u4f5c\u5f69\u8272\u80a5\u7682\u819c\uff0c\u63a2\u7d22\u8584\u819c\u5e72\u6d89\u7684\u6838\u5fc3\u539f\u7406\u3002
\n\u8fd8\u5c06\u89e3\u9501\u5b83\u5728\u79d1\u6280\u4e2d\u7684\u795e\u5947\u5e94\u7528\u2014\u2014\u4ece\u7a7a\u6c14\u5288\u5c16\u7cbe\u51c6\u5224\u65ad\u73bb\u7483\u8868\u9762\u7684\u5e73\u6574\u5ea6\uff0c\u5230\u773c\u955c\u9540\u819c\u5982\u4f55\u63d0\u5347\u6e05\u6670\u5ea6\uff0c\u6bcf\u4e00\u5904\u7ec6\u8282\u90fd\u8574\u542b\u7740\u7269\u7406\u4e0e\u751f\u6d3b\u7684\u6df1\u5ea6\u5bf9\u8bdd\u3002
\n\u5e26\u4e0a\u4f60\u7684\u597d\u5947\u5fc3\uff0c\u8ba9\u6211\u4eec\u4e00\u540c\u63ed\u5f00\u5149\u7684\u827a\u672f\u9762\u7eb1\uff0c\u5728\u7406\u8bba\u4e0e\u5b9e\u8df5\u7684\u78b0\u649e\u4e2d\uff0c\u5171\u8d74\u8fd9\u573a\u201c\u5149\u4e4b\u76db\u5bb4\u201d\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"

JQX\/\u8fdb\u53d6\u82af \u5c0f\u6559\u7814\u7b2c\u56db\u671f\uff082025.4.16\uff09 \u5173\u4e8e\u5468\u671f\uff1a Qiusir\u4ee5\u5b66\u751f\u968f\u610f\u53d1\u6325\uff08\u610f\u8bc6\u6d41\uff09\u7684\u5f62\u5f0f\u5e26\u9886 … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[9],"tags":[460],"class_list":["post-36498","post","type-post","status-publish","format-standard","hentry","category-jqx","tag-jqx"],"_links":{"self":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/36498","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=36498"}],"version-history":[{"count":0,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/36498\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=36498"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=36498"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=36498"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}