{"id":35851,"date":"2025-02-28T09:43:45","date_gmt":"2025-02-28T01:43:45","guid":{"rendered":"http:\/\/www.qiusir.com\/?p=35851"},"modified":"2025-02-28T09:43:45","modified_gmt":"2025-02-28T01:43:45","slug":"%e5%9b%be%e8%a7%a3%e5%be%ae%e7%a7%af%e5%88%86","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=35851","title":{"rendered":"\u56fe\u89e3\u5fae\u79ef\u5206"},"content":{"rendered":"<p><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/sirinewton84.jpg\" width=\"480\" class=\"framed\" \/><br \/>\n1<br \/>\n\u5fae\u79ef\u5206 \u9884\u6d4b\u672a\u6765\u53d8\u5316\u7684\u5de5\u5177 [\u65e5]\u725b\u987f\u51fa\u7248\u793e\u7f16<br \/>\n\u901f\u5ea6=\u8ddd\u79bb\u00f7\u65f6\u95f4 \u5fae\u5206\u7684\u601d\u8003\u65b9\u5f0f\uff1b\u8ddd\u79bb=\u901f\u5ea6\u00d7\u65f6\u95f4 \u79ef\u5206\u7684\u601d\u8003\u65b9\u5f0f<br \/>\n\u5fae\u5206differential\u5dee\u522b\u7684\uff0c\u79ef\u5206integral\u6574\u4f53\u7684\uff1b\u8fd0\u7b97calculus\u62c9\u4e01\u8bed\u7684\u5c0f\u77f3\u5934\uff0c\u8fc7\u53bb\u4eba\u4eec\u662f\u901a\u8fc7\u6392\u5217\u5c0f\u77f3\u5934\u6765\u8fdb\u884c\u8ba1\u7b97\u3002<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/ni01.jpg\" width=\"480\" class=\"framed\" \/><br \/>\n\u53ef\u4ee5\u628a\u51fd\u6570\u60f3\u8c61\u4e3a\u4e00\u4e2a\u7bb1\u5b50\uff0c\u5411\u5176\u4e2d\u8f93\u5165\u4e00\u4e9b\u4e1c\u897f\uff0c\u5c31\u4f1a\u5728\u7bb1\u5b50\u91cc\u8fdb\u884c\u67d0\u79cd\u8ba1\u7b97\uff0c\u7136\u540e\u628a\u7ed3\u679c\u5410\u51fa\u6765\u3002\uff08\u53ea\u8bb0\u5f97\u5c0f\u65f6\u5019\u8001\u5e08\u82b1\u4e86\u5f88\u5927\u7684\u529b\u6c14\u5f3a\u8c03\u51fd\u6570\u7684\u91cd\u8981\u6027\uff0c\u4f46\u5f53\u65f6\u8bb2\u7684\u4ec0\u4e48\u662f\u51fd\u6570\u65e9\u6ca1\u5370\u8c61\u4e86\uff09<br \/>\n\u6781\u9650\u601d\u7ef4\u662f\u73b0\u4ee3\u5fae\u79ef\u5206\u7684\u91cd\u70b9\u3002\uff08\u300a\u65e0\u7a77\u5c0f\u300b[<a href=\"http:\/\/www.qiusir.com\/?p=20448\" rel=\"noopener\" target=\"_blank\">?<\/a>]\uff09<br \/>\n\u6c42\u5bfc\u7684\u8fc7\u7a0b\u53c8\u79f0\u4e3a\u5fae\u5206$$y&#8217;=\\lim_{x \\to 0} \\frac{f(x+\\Delta x)-f(x)}{\\Delta x} $$<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/ni02.jpg\" width=\"480\" class=\"framed\" \/><br \/>\n\u5fae\u5206\u8981\u70b9\uff1a\u5fae\u5206\u5c31\u662f\u6c42\u89e3\u201c\u77ac\u95f4\u7684\u53d8\u5316\u7a0b\u5ea6\u201d\uff1b\u5fae\u5206\u5c31\u662f\u6c42\u89e3\u201c\u5207\u7ebf\u7684\u659c\u7387\u201d\uff1b\u628a\u51fd\u6570\u5fae\u5206\u5c31\u80fd\u5f97\u5230\u5bfc\u51fd\u6570\u3002<\/p>\n<p>\u963f\u57fa\u7c73\u5fb7\u628a\u629b\u7269\u7ebf\u56f4\u6210\u7684\u9762\u79ef\u5206\u5272\u6210\u65e0\u6570\u4e09\u89d2\u5f62\u6c42\u5176\u9762\u79ef\u548c\uff0c\u7528\u8fd9\u6837\u7684\u7a77\u7aed\u6cd5\u6c42\u5f97\u5176\u9762\u79ef\u3002<br \/>\n\u725b\u987f\u53d1\u73b0\u4e86\u5fae\u5206\u4e0e\u79ef\u5206\u5176\u5b9e\u662f\u4e92\u9006\u7684\u8fd0\u7b97\uff0c\u628a\u5fae\u5206\u548c\u79ef\u5206\u7edf\u4e00\u4e3a\u4e00\u95e8\u5b66\u95ee\u3002<br \/>\n\u79ef\u5206\u7684\u8981\u70b9\uff1a\u6240\u8c13\u79ef\u5206\u5c31\u662f\u6c42\u9762\u79ef\uff1b\u79ef\u5206\u6709\u5206\u5272\u6c42\u79ef\u7b49\u65b9\u6cd5\uff1b\u628a\u51fd\u6570\u79ef\u5206\u53ef\u5f97\u539f\u51fd\u6570\u3002<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/ni03.jpg\" width=\"480\" class=\"framed\" \/><br \/>\n$$\\frac{dy}{dx}$$\u8fd9\u4e00\u7b26\u53f7\u6574\u4f53\u662f\u8868\u793a\u5fae\u5206\uff08\u5bfc\u51fd\u6570\uff09\uff0c\u800c\u4e0d\u662f\u4e00\u4e2a\u5206\u6570\uff0c\u8bfb\u6cd5\u4e5f\u662f&#8221;dydx&#8221;\u3002\u5148\u4ee5differential\uff08\u8868\u793a\u5dee\u7684\u610f\u601d\uff09\u6765\u79f0\u547c\u5fae\u5206\u7684\u662f\u83b1\u5e03\u5c3c\u5179\uff0cdy\u548cdx\u5206\u522b\u662fy\u548cx\u7684\u5fae\u5c0f\u589e\u52a0\u91cf\uff0c\u6240\u4ee5d\u53d6\u7684\u610f\u601d\u662fdifferential\u7684\u9996\u5b57\u6bcd\u3002<br \/>\n$$\\int $$\u8bfb\u4f5cintegral\uff0c\u6574\u4f53\uff0c\u745e\u58eb\u7684\u96c5\u5404\u5e03\u00b7\u4f2f\u52aa\u5229\u6700\u5148\u5f00\u59cb\u7528\u8fd9\u4e2a\u8bcd\u6307\u4ee3\u79ef\u5206\uff0c\u60f3\u51fa\u8fd9\u4e2a\u7b26\u53f7\u7684\u83b1\u5e03\u5c3c\u8328\u3002<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/ni04.jpg\" width=\"480\" class=\"framed\" \/><br \/>\n\uff08\u5706\u5468\u957f$$\\int_{0}^{2\\pi } Rd\\theta$$  \u5706\u9762\u79ef$$\\int_{0}^{R } 2\\pi rdr$$ \u7403\u8868\u9762\u79ef$$\\int_{0}^{\\pi } 2\\pi Rsin\\theta R d\\theta$$ \u7403\u4f53\u79ef$$\\int_{0}^{R } 4\\pi r^2dr$$\uff09<br \/>\n\uff08\u5e94\u8be5\u63a8\u5bfc\u4e00\u4e0b\u7403\u58f3\u5bf9\u7403\u58f3\u5916\u4e07\u6709\u5f15\u529b\u7b49\u6548\u4e8e\u7403\u5fc3\u8d28\u70b9\u00b7\u00b7\u00b7<br \/>\n$$\\int_{0}^{\\pi} \\frac{Gm\\rho  2\\pi Rsin\\theta Rd\\theta}{r^2+R^2-2rRcos\\theta } \\frac{r-Rcos\\theta}{\\sqrt{r^2+R^2-2rRcos\\theta} } d\\theta$$\uff09<br \/>\n1665\u5e74\u725b\u987f\u53d1\u73b0\u4e86\u5fae\u79ef\u5206\u7684\u57fa\u672c\u5b9a\u7406\uff0c\u8fd8\u662f\u5251\u6865\u5927\u5b6622\u5c81\u7684\u5b66\u751f\uff0c\u8bb0\u8fc7\u786e\u5b9e40\u5e74\u540e1704\u4f60\u554a\u53d1\u5e03\uff1b\u83b1\u5e03\u5c3c\u5179\u53d1\u5e03\u7684\u66f4\u65e9\u3002\u6709\u751f\u4e4b\u5e74\u90a3\u5acc\u7591\u90fd\u672a\u66fe\u88ab\u6e05\u6d17\u3002<br \/>\n\u5308\u7259\u5229\u79d1\u5b66\u5bb6\u51af\u8bfa\u4f9d\u66fc\u8bf4\u5fae\u79ef\u5206\u662f\u201c\u73b0\u4ee3\u6570\u5b66\u53d6\u5f97\u7684\u7b2c\u4e00\u4e2a\u6210\u5c31\uff0c\u5bf9\u5176\u91cd\u8981\u6027\u65e0\u8bba\u600e\u6837\u8bc4\u4ef7\u90fd\u4e0d\u4e3a\u8fc7\u3002\u201d<br \/>\n\uff08\u4f3d\u5229\u7565\u7684\u5b66\u751f\u6258\u91cc\u62c6\u5229\u4e0d\u53ea\u662f\u6d4b\u91cf\u4e86\u5927\u6c14\u538b\uff0c\u8fd9\u4f4d\u610f\u5927\u5229\u7684\u6570\u5b66\u5bb6\u63d0\u51fa\u4e86\u88ab\u66f2\u7ebf\u56f4\u6210\u533a\u57df\u7684\u9762\u79ef\u7684\u6c42\u6cd5\u3002\uff09<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/ni05.jpg\" width=\"480\" class=\"framed\" \/><br \/>\n2<br \/>\n\u6709\u4eba\u5c06\u963f\u57fa\u7c73\u5fb7\u3001\u725b\u987f\u548c\u9ad8\u65af\u5e76\u79f0\u4e16\u754c\u4e09\u5927\u6570\u5b66\u5bb6<br \/>\nSir_Isaac_Newton_1689 \u65f6\u5e7446\u5c81\uff0c\u4e3a\u5f53\u65f6\u6700\u6709\u4eba\u6c14\u7684\u8096\u50cf\u753b\u5bb6\u6240\u505a\u3002<br \/>\n\u6bcd\u4eb2\u5e0c\u671b\u725b\u987f\u505c\u5b66\u52a1\u519c\uff0c\u800c\u4e14\u62d2\u7edd\u627f\u62c5\u5b66\u8d39\u3002\uff08\u8bb0\u5f97\u6709\u4e66\u63d0\u5230\u725b\u987f\u5bb6\u7684\u4ec6\u4eba\u89c9\u5f97\u725b\u987f\u4ec0\u4e48\u519c\u6d3b\u90fd\u5e72\u4e0d\u597d\uff09<br \/>\n\u4e3a\u4e86\u62ff\u5230\u5956\u5b66\u91d1\u53c2\u52a0\u8d44\u683c\u8003\u8bd5\uff0c\u8003\u5b98\u6307\u51fa\u725b\u987f\u5bf9\u4e8e\u53e4\u5e0c\u814a\u6570\u5b66\u5bb6\u6b27\u51e0\u91cc\u5f97\u7684\u77e5\u8bc6\u638c\u63e1\u6b20\u7f3a\u3002\u725b\u987f\u53ea\u4e13\u5fc3\u5b66\u4e60\u5f53\u65f6\u6700\u5148\u8fdb\u7684\u7b1b\u5361\u5c14\u7684\u7406\u8bba\u3002\u725b\u987f\u540e\u6765\u7528\u4e8e\u5fae\u79ef\u5206\u53d1\u660e\uff08\u53d1\u73b0\uff1f\uff09\u5148\u5173\u6570\u5b66\u77e5\u8bc6\uff0c\u4fbf\u662f\u4ece1664\u5e74\u524d\u540e\u9605\u8bfb\u7684\u4e66\u7c4d\u4e2d\u79ef\u7d2f\u8d77\u6765\u7684\u3002\u53ef\u4ee5\u8bf4\u51fa\u4e86\u7b1b\u5361\u5c14\u7684\u300a\u51e0\u4f55\u5b66\u300b\u4e4b\u5916\uff0c\u82f1\u56fd\u7684\u6c83\u5229\u65af\u300a\u65e0\u7a77\u7b97\u672f\u300b\u7b49\u4f5c\u54c1\u4e5f\u5bf9\u725b\u987f\u7684\u6570\u5b66\u4ea7\u751f\u4e86\u6781\u5927\u5f71\u54cd\u3002<br \/>\n\u725b\u987f\u7684\u5fae\u79ef\u5206\u539f\u7406\u3001\u4e07\u6709\u5f15\u529b\u548c\u5149\u7684\u7406\u8bba\uff0c\u88ab\u79f0\u4e3a\u201c\u6539\u53d8\u79d1\u5b66\u53f2\u7684\u4e09\u5927\u53d1\u73b0\u201d\u3002<br \/>\n\u725b\u987f\u6b63\u5f0f\u5f00\u59cb\u6570\u5b66\u7814\u7a761664\u5e744\u6708\uff0c\u4ec5\u4ec5\u6570\u5e74\uff0c\u8fc5\u901f\u8d85\u8d8a\u4e86\u90a3\u4e2a\u65f6\u671f\u7684\u6570\u5b66\u6c34\u5e73\uff0c\u5e76\u72ec\u7acb\u521b\u7acb\u4e86\u6570\u5b66\u6cd5\u5219\u3002\uff08\u6240\u4ee5\u6717\u9053\u5355\u72ec\u628a\u725b\u987f\u5217\u4e3a\u7b2c0\u6863\uff09<br \/>\n\u725b\u987f\u6267\u6559\u8d85\u8fc730\u5e74\uff0c\u6bcf\u5468\u4e0a\u4e00\u8282\u8bfe\uff0c\u8bfe\u5802\u51fa\u5e2d\u4eba\u6570\u5f88\u5c11\u3002<br \/>\n1727\u5e74\uff0c\u725b\u987f\u521b\u7acb\u4e86calculus\uff08\u5fae\u79ef\u5206\uff09\uff0c\u4e5f\u662f\u56e0\u4e3acalculus\uff08\u7ed3\u77f3\uff09\u53bb\u4e16\u3002\u4eab\u5e7484\u5c81\u3002<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/Sir_Isaac_Newton_1689.jpeg\" width=\"480\" class=\"framed\" \/><br \/>\n\u8d28\u7591\u56fa\u6709\u89c2\u70b9\uff0c\u76f8\u4fe1\u89c2\u6d4b\u4e8b\u5b9e\u7684\u201c\u8fd1\u4ee3\u79d1\u5b66\u4e4b\u7236\u201d\u4f3d\u5229\u7565<br \/>\n\u4f3d\u5229\u7565\u53bb\u4e16350\u5e74\u540e\u76841992\u5e74\uff0c\u540d\u8a89\u624d\u5f97\u4ee5\u6b63\u5f0f\u6062\u590d\u3002<br \/>\n\u7b1b\u5361\u5c14\u548c\u8d39\u9a6c\u521b\u7acb\u4e86\u5750\u6807\u3002\u5750\u6807\u7684\u5f15\u5165\u5c06\u9700\u8981\u5904\u7406\u7684\u73b0\u5b9e\u4e16\u754c\u4e2d\u7684\u73b0\u8c61\u53d8\u6210\u4e86\u6570\u5b66\u95ee\u9898\u3002<br \/>\n\u67d0\u5929\u665a\u4e0a\uff0c\u7b1b\u5361\u5c14\u505a\u4e86\u4e00\u4e2a\u68a6\uff0c\u5728\u68a6\u4e2d\u4ed6\u627e\u5230\u4e86\u79d1\u5b66\u7684\u57fa\u7840\uff0c\u89e3\u6790\u51e0\u4f55\u5b66\u3002<\/p>\n<p>\u66f2\u7ebf\u7684\u5207\u7ebf\u548c\u8fd0\u52a8\u7269\u4f53\u7684\u884c\u8fdb\u65b9\u5411\u4e00\u81f4\uff0c\u753117\u4e16\u7eaa\u7684\u6cd5\u56fd\u6570\u5b66\u5bb6\u7f57\u4f2f\u4f5b\u5c14\u9996\u5148\u4e4b\u521d\u7684\u3002\u8bb8\u591a\u5b66\u8005\u5176\u5b9e\u662f\u628a\u5207\u7ebf\u5f53\u4f5c\u4e00\u4e2a\u6570\u5b66\u8bfe\u9898\u6765\u8fdb\u884c\u7814\u7a76\u7684\u3002<br \/>\n\u725b\u987f\u66fe\u53c2\u8003\u8fc7\u8d39\u9a6c\u627e\u5230\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<br \/>\n1664\u5e74\uff0c\u5251\u6865\u5927\u5b66\u4e09\u5e74\u7ea7\u5b66\u751f\u725b\u987f\u5f00\u59cb\u9605\u8bfb\u7b1b\u5361\u5c14\u7684\u8457\u4f5c\u30021665\u5e74\u4ea7\u751f\u4e86\u6d41\u6570\u7684\u601d\u60f3\uff0c\u90a3\u4e00\u5e7422\u5c81\u3002<\/p>\n<p>\u5f00\u666e\u52d2\u5728\u7b2c\u8c37\u6d4b\u5f97\u7684\u5927\u91cf\u706b\u661f\u6570\u636e\u7684\u57fa\u7840\u4e0a\uff0c\u7ecf\u8fc7\u591a\u6b21\u5c1d\u8bd5\u5e76\u8ba1\u7b97\u51fa\u706b\u661f\u7684\u8f68\u9053\u3002<strong>\u5f00\u666e\u52d2\u7b2c\u4e8c\u5b9a\u5f8b\uff08\u9762\u79ef\u5b9a\u5f8b\uff09\u662f\u65e9\u4e8e\u7b2c\u4e00\u5b9a\u5f8b\uff08\u692d\u5706\u8f68\u9053\uff09\u88ab\u521b\u7acb\u3002<\/strong><br \/>\n\u4ee5\u963f\u57fa\u7c73\u5fb7\u4e3a\u5f00\u7aef\uff0c\u79ef\u5206\u65b9\u6cd5\u5728\u5f00\u666e\u52d2\u65f6\u4ee3\u4e4b\u540e\u4e0d\u65ad\u7cbe\u70bc\uff0c\u5728\u4f3d\u5229\u7565\u7684\u5b66\u751f\u5361\u74e6\u5217\u91cc\u548c\u6258\u91cc\u62c6\u5229\u7684\u63a8\u52a8\u4e0b\uff0c\u79ef\u5206\u53bb\u7684\u5de8\u5927\u6210\u679c\u3002\uff08\u5361\u74e6\u5217\u91cc\u539f\u7406\u548c\u4e2d\u5b66\u5b66\u7684\u7956\u6685\u539f\u7406\uff09<br \/>\n\u4e9a\u91cc\u58eb\u591a\u5fb7\u63d0\u51fa\uff0c\u4e16\u754c\u4e0a\u4e00\u5b9a\u7531\u67d0\u79cd\u7269\u8d28\u5145\u6ee1\uff0c\u5426\u5b9a\u4e86\u201c\u771f\u7a7a\u201d\u7684\u5b58\u5728\u3002\u6258\u91cc\u62c6\u5229\u5b8c\u6210\u4e86\u4eba\u7c7b\u5386\u53f2\u5584\u8ddf\u7b2c\u4e00\u6b21\u5236\u9020\u51fa\u771f\u7a7a\u3002\u53bb\u4e16\u5e74\u4ec539\u5c81\u3002<br \/>\n\u6258\u91cc\u62c6\u5229\u5c0f\u53f7$$\\int_{1}^{\\infty } \\pi (\\frac{1}{x})^2\\theta=\\pi$$<br \/>\n\u725b\u987f\u57281665\u5e74\u53d1\u73b0\u4e86\u79ef\u5206\u662f\u5fae\u5206\u7684\u9006\u8fd0\u7b97\u3002<br \/>\n\u54c8\u96f7\uff08\u683c\u6797\u5a01\u6cbb\u5929\u6587\u53f0\u7684\u7b2c\u4e8c\u4efb\u53f0\u957f\uff1b\u4e16\u754c\u4e0a\u7b2c\u4e00\u4e2a\u4fdd\u9669\u7edf\u8ba1\u8868\u548c\u4e09\u6b21\u79d1\u5b66\u822a\u6d77\uff09\u6839\u636e\u5fae\u79ef\u5206\u8ba1\u7b97\u51fa\u5f57\u661f\u4f1a\u5728\u4f55\u65f6\u5230\u6765\u3002<\/p>\n<p>\u5728\u82f1\u56fd\u7687\u5bb6\u5b66\u4f1a\u4e0d\u5f53\u8c03\u67e53\u5e74\u540e\u83b1\u5e03\u5c3c\u8328\u5728\u6124\u61d1\u4e2d\u79bb\u4e16\u3002<br \/>\n\u83b1\u5e03\u5c3c\u8328\u53d1\u660e\u673a\u68b0\u8ba1\u7b97\u5668\u3002<br \/>\n\u4f5c\u4e3a\u5916\u4ea4\u5b98\u7684\u83b1\u5e03\u5c3c\u5179\u5728\u5df4\u9ece\u89e3\u91ca\u4e86\u514b\u91cc\u65af\u8482\u5b89\u00b7\u60e0\u66f4\u65af\u3002<br \/>\n\u83b1\u5e03\u5c3c\u8328\u521b\u7acb\u67cf\u6797\u79d1\u5b66\u9662\uff0c\u62c5\u4efb\u9996\u4efb\u4f1a\u957f\u3002<br \/>\n\u6548\u529b\u7684\u516c\u7235\u4e3a\u53c2\u9009\u56fd\u738b\u800c\u524d\u5f80\u82f1\u56fd\u62d2\u7edd\u8ba9\u83b1\u5e03\u5c3c\u5179\u8ddf\u968f\u30021716\u5e74\u79bb\u4e16\uff0c\u4eab\u5e7470\u5c81\u3002<br \/>\n\u201c\u725b\u987f\u4e0d\u80fd\u6b63\u786e\u7406\u89e3\u5fae\u79ef\u5206\uff0c\u6240\u4ee5\u6ca1\u6709\u5728\u300a\u539f\u7406\u300b\u4e2d\u4f7f\u7528\u3002\u201d\uff08\u90a3\u65f6\u7684\u725b\u987f\u5bf9\u5145\u6ee1\u4e86\u6570\u5b66\u4e25\u8c28\u6027\u3001\u7f8e\u5b66\u4f18\u96c5\u548c\u76f4\u89c2\u7279\u70b9\u7684\u53e4\u5e0c\u814a\u6570\u5b66\u7ed9\u4e88\u9ad8\u5ea6\u8d5e\u626c\uff0c\u5e76\u6279\u5224\u5730\u7ee7\u627f\u4e86\u7b1b\u5361\u5c14\u7684\u601d\u60f3\u00b7\u00b7\u00b7\uff09<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/1per2.jpg\" width=\"480\" class=\"framed\" \/><br \/>\n\uff08\uff1f\u62bd\u7a7a\u8981\u7814\u7a76\u4e00\u4e0b\u8fd9\u56fe\uff0c\u4e66\u4e0a\u8bf4\u201c\u539f\u7406\u8ba4\u4e3a\u884c\u661f\u7684\u8f68\u9053\u662f\u692d\u5706\uff1b\u91cd\u529b\u4e0e\u7269\u4f53\u95f4\u8ddd\u79bb\u5e73\u51e1\u53cd\u6bd4\u3002\u201d\u636e\u8bf4\u94b1\u5fb7\u62c9\u585e\u5361\u6709\u901a\u4fd7\u89e3\u8bfb\uff09\uff08\u963f\u57fa\u7c73\u5fb7\u91cd\u5fc3\u6cd5\u8ba1\u7b97\u629b\u7269\u7ebf\u56f4\u6210\u7684\u9762\u79ef\u00b7\u00b7\u00b7\uff09<br \/>\n\u725b\u987f\u81ea\u521b\u201c\u5e7f\u4e49\u4e8c\u9879\u5f0f\u201d\u6c42\u89e3\u4e09\u89d2\u51fd\u6570\u7b49\u590d\u6742\u51fd\u6570\uff0c\u6269\u5927\u4e86\u79ef\u5206\u7684\u5e94\u7528\u8303\u56f4\u3002<br \/>\n17\u4e16\u7eaa\uff0c\u7b1b\u5361\u5c14\u3001\u5e15\u65af\u5361\u3001\u8d39\u9a6c\u3001\u725b\u987f\u3001\u83b1\u5e03\u5c3c\u8328\u7b49\u521b\u9020\u6027\u5929\u624d\u6a2a\u7a7a\u51fa\u4e16\uff0c\u5929\u624d\u7684\u4e16\u7eaa\u300218\u4e16\u7eaa\u65f6\u82f1\u96c4\u7684\u4e16\u7eaa\uff0c\u4f2f\u52aa\u5229\u5bb6\u65cf\u3001\u6b27\u62c9\u3001\u8fbe\u6717\u8d1d\u5c14\u3001\u62c9\u683c\u6717\u65e5\u3001\u62c9\u666e\u62c9\u65af\u7b49<\/p>\n<p>3<br \/>\n\u66f4\u591a\u5fae\u79ef\u5206\u7684\u5e94\u7528<br \/>\n\uff08\u8fd9\u662f\u4e00\u672c\u5f88\u7406\u60f3\u7684\u4e66\u3002\u60f3\u6765\u5927\u5b66\u671f\u95f4\u5c11\u6709\u5bf9\u77e5\u8bc6\u7684\u529b\u91cf\u611f\uff0c\u53cd\u800c\u4e2d\u5b66\u7684\u65f6\u5019\u5bf9\u53e4\u8bd7\u8bcd\u8fd8\u6709\u70b9\u610f\u5883\u7684\u62d3\u5bbd\u3002<br \/>\n\u8003\u4e0a\u597d\u5927\u5b66\u76ee\u524d\u770b\u77e5\u8bc6\u5377\u7684\u80fd\u529b\u548c\u8010\u529b\uff0c\u548c\u79d1\u5b66\u7684\u5929\u8d4b\u548c\u7231\u597d\u65e0\u5927\u7684\u5173\u7cfb\u4e86\u3002\uff09<br \/>\nsinx cosx \u5fae\u52064\u6b21\u540e\u4f1a\u53d8\u4e3a\u539f\u6837\u3002<br \/>\ne=2.17828\u00b7\u00b7\u00b7\u662f\u96c5\u5404\u5e03\u00b7\u4f2f\u52aa\u5229\u53d1\u73b0\u7684\u3002<br \/>\n\uff08\u624b\u628a\u624b\u6559\u4f60\u7528\u5fae\u79ef\u5206\uff09<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/nif01.png\" width=\"480\" class=\"framed\" \/><br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/nif02.png\" width=\"480\" class=\"framed\" \/><br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/nif03.png\" width=\"480\" class=\"framed\" \/><br \/>\n\uff08\u672c\u4e66\u4e2d\u7528\u5fae\u5206\u63a8\u5bfc\u5f00\u666e\u52d2\u9762\u79ef\u5b9a\u5f8b\uff0c\u6709\u901f\u5ea6\u89d2\u6807\u6709\u95ee\u9898\u3002\u8bd5\u7740\u4fee\u8ba2\u4e00\u4e0b\uff09<br \/>\n<img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/ni05.png\" width=\"480\" class=\"framed\" \/><br \/>\n$$2S_v=rvsin(\\theta_v-\\theta_r)$$<br \/>\n$$2S_v=vsin\\theta_v rcos\\theta_r-rsin\\theta_r vcos\\theta_v$$<br \/>\n$$2S_v=xv_y-yv_x$$<br \/>\n\u6839\u636e\u201c\u79ef\u7684\u5fae\u5206\u516c\u5f0f$$\\frac{d(fg)}{dt}=g\\frac{d(f)}{dt}+g\\frac{d(g)}{dt}$$<br \/>\n\u5982\u679c\u9762\u79ef\u901f\u5ea6\u662f\u4e00\u5b9a\u7684\uff0c\u90a3\u4e48\u5173\u4e8e\u65f6\u95f4\u7684\u5bfc\u6570\u4e3a\u96f6\u3002<br \/>\n$$0=xa_y-ya_x$$<br \/>\n$$\\frac{a_x}{x}=\\frac{a_y}{y}$$\uff0c$$\\frac{a_x^2}{x^2}=\\frac{a_y^2}{y^2}$$\uff0c<br \/>\n$$\\frac{a}{r}=k$$\u94f6\u6cb3\u7cfb\u884c\u661f\u4e0d\u4f1a\u79bb\u5f00\u592a\u9633\uff0c\u6240\u4ee5\u529b\u4e00\u5b9a\u6307\u5411\u592a\u9633\u65b9\u5411\uff0c\u4ee5\u592a\u9633\u4e3a\u57fa\u51c6\u70b9\uff0c\u884c\u661f\u7684\u9762\u79ef\u901f\u5ea6\u662f\u4e00\u5b9a\u7684\u3002\uff08\u6ee1\u8db3\u89d2\u52a8\u91cf\u5b88\u6052\uff09<br \/>\n\uff08\u53d1\u5c55\u90e8\u5206\u7b49\u6709\u80fd\u529b\u53c8\u6709\u70ed\u60c5\u7684\u65f6\u5019\u8bfb\u5427\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1 \u5fae\u79ef\u5206 \u9884\u6d4b\u672a\u6765\u53d8\u5316\u7684\u5de5\u5177 [\u65e5]\u725b\u987f\u51fa\u7248\u793e\u7f16 \u901f\u5ea6=\u8ddd\u79bb\u00f7\u65f6\u95f4 \u5fae\u5206\u7684\u601d\u8003\u65b9\u5f0f\uff1b\u8ddd\u79bb=\u901f\u5ea6\u00d7\u65f6\u95f4 \u79ef\u5206\u7684 &#8230; <a title=\"\u56fe\u89e3\u5fae\u79ef\u5206\" class=\"read-more\" href=\"https:\/\/www.qiusir.com\/?p=35851\" aria-label=\"\u9605\u8bfb \u56fe\u89e3\u5fae\u79ef\u5206\">\u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[6],"tags":[256,349],"class_list":["post-35851","post","type-post","status-publish","format-standard","hentry","category-mpo","tag-book","tag-math"],"_links":{"self":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/35851","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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=35851"}],"version-history":[{"count":0,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/35851\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=35851"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=35851"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=35851"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}