{"id":26641,"date":"2023-03-01T14:49:08","date_gmt":"2023-03-01T06:49:08","guid":{"rendered":"http:\/\/www.qiusir.com\/?p=26641"},"modified":"2023-03-01T14:49:08","modified_gmt":"2023-03-01T06:49:08","slug":"%e7%ab%96%e7%9b%b4%e9%9d%a2%e5%9c%86%e5%91%a8%e8%bf%90%e5%8a%a8%e8%84%b1%e7%a6%bb%e4%b8%8e%e8%90%bd%e7%82%b9%e8%a7%92%e5%ba%a6%e7%ad%89","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=26641","title":{"rendered":"\u5706\u9525\u66f2\u7ebf\u4e0e\u5bc6\u5207\u5706\u4ea4\u70b9\u51e0\u4f55\u6027\u8d28"},"content":{"rendered":"<p><center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/cgac23.png\" width=\"480\" class=\"framed\" \/><\/center><br 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\/>\n\u6628\u5929\u5728\u63a8\u4e0a\u770b\u5230@TaRoS_physics\u5206\u4eab\u7684\u7ed3\u679c\uff0c\u4ee5\u524d\u6ca1\u6709\u7559\u610f\u523030\u00b0\uff08\u843d\u5230\u6c34\u5e73\u70b9\u6700\u5916\u70b9\uff09\u300145\u00b0\uff08\u843d\u5230\u4e2d\u5fc3\u5bf9\u79f0\u70b9\uff09\u300160\u00b0\uff08\u7ad6\u76f4\u70b9\uff09\u6709\u8fd9\u4e48\u597d\u7684\u7ed3\u8bba\u3002\u5c31\u8ba9\u4faf\u8bfe\u4ee3\u8868\u68c0\u9a8c\u4e00\u4e0b\u5e76\u627e\u627e\u89c4\u5f8b\uff0c\u5f53\u7136\u6211\u81ea\u5df1\u4e5f\u6ca1\u6709\u95f2\u7740&#8230;<br \/>\n\u5173\u4e8e\u6ee1\u8db3\u673a\u68b0\u80fd\u5b88\u6052\u7684\u7ad6\u76f4\u5e73\u9762\u5706\u5468\u8fd0\u52a8\u7684\u8131\u79bb\u70b9\u4e0e\u843d\u70b9\u89d2\u5ea6\u7b49\u7591\u60d1\uff0c\u4eca\u5929\u7528\u7535\u8111\u8ba1\u7b97\u4e86\u4e00\u4e0b\uff0c\u4e0d\u4ec5\u539f\u6765\u7ed3\u8bba\u5f88\u5b8c\u7f8e\uff0c\u4f3c\u4e4e\u8fd8\u6709\u5c0f\u7684\u53d1\u73b0\uff0c\u843d\u5230\u5706\u5468\u4e0a\u7684\u70b9\u662f\u8131\u79bb\u70b9\u548c\u7ad6\u76f4\u9762\u76843\u500d\u89d2\uff0c\u7b49\u6211\u8981\u53d1\u5e03\u7684\u65f6\u5019\u53d1\u73b0@hakuryu27071454\u4e5f\u7ed9\u51fa\u4e86\u4e00\u6837\u7684\u7ed3\u8bba\uff0c\u6211\u5982\u8d39\u8d56\u767b\u5854\u5c14\u6240\u8a00\u7684reinvent&#8230;<br \/>\n<!--more--><br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/cg30.png\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/cg40.png\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/cg45.png\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n\u5982\u679c\u4ece\u7f16\u9898\u7ec3\u624b\u7684\u89d2\u5ea6\uff0c\u4ece$$\\frac{7}{4}r$$\u9ad8\u5ea6\u91ca\u653e\u7684\u5c0f\u7403\u6570\u636e\u8f83\u597d\uff0c\u4e00\u65b9\u9762\u6700\u5927\u7684\u9ad8\u5ea6\u662f$$\\frac{27}{16}r$$\uff0c\u53e6\u4e00\u65b9\u9762\u5c0f\u7403\u662f\u4ece\u4e0e\u7ad6\u76f460\u00b0\u89d2\u5904\u5206\u79bb\uff0c\u5e76\u6070\u80fd\u843d\u56de\u6700\u4f4e\u70b9&#8230;<br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/cg60.png\" width=\"480\" class=\"framed\" \/><\/center><br \/>\nupdate:<br \/>\n\u5173\u4e8e\u8fd9\u4e2a\u95ee\u9898\u7684\u8bc1\u660e\uff0c\u4e00\u79cd\u662f\u901a\u8fc7\u89e3\u6790\u7684\u65b9\u6cd5\uff08\u4e5f\u7559\u610f\u5230@YS55749378\u7684\u8010\u5fc3\u8bc1\u660e\uff0c\u4f30\u8ba1\u660e\u5929\u6211\u5b66\u751f\u4e2d\u80fd\u6709\u597d\u7684\u7ed3\u679c\uff09\uff0c\u6211\u5f53\u7136\u503e\u5411\u7269\u7406\u7684\u601d\u8def\uff0c\u4e0d\u4ec5\u662f\u8bc1\u660e\uff0c\u66f4\u8bd5\u56fe\u627e\u5230\u66f4\u901a\u4fd7\u7684\u89e3\u91ca\u3002\u5148\u662f\u628a\u4e09\u500d\u89d2\u8fd8\u539f\u6210\u56db\u500d\u518d\u8f6c\u5316\u4e3a\u4e24\u500d\u89d2\u7684\u5bf9\u79f0\uff0c\u7136\u540e\u5efa\u7acb\u65b0\u7684\u5750\u6807\u7cfb\u5e76\u5bf9\u901f\u5ea6\u548c\u52a0\u901f\u5ea6\u5206\u89e3&#8230;<br \/>\n$$v_x=vsin(\\frac{\\pi}{2}-2\\alpha)$$\uff0c$$g_x=gsin\\alpha$$<br \/>\n$$v_y=vcos(\\frac{\\pi}{2}-2\\alpha)$$\uff0c$$g_y=gcos\\alpha$$<br \/>\n$$t=2\\frac{v_y}{g_y}=\\frac{4vsin\\alpha}{g}$$<br \/>\n$$x=v_xt+\\frac{1}{2}g_xt^2$$<br \/>\n\u53e6\uff0c\u6839\u636e\u5206\u79bb\u6761\u4ef6\uff0c\u5373\u91cd\u529b\u6cd5\u5411\u5206\u529b\u63d0\u4f9b\u5411\u5fc3\u529b\uff0c$$mgcos\\alpha=m\\frac{v^2}{r}$$<br \/>\n\u4ee3\u5165\uff0c$$x=4rsin\\alpha cos\\alpha(cos(2\\alpha)+2sin^2\\alpha)$$\u5f97\u51fa$$d_x=2rsin(2\\alpha)$$&#8230;<br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/20230302qp.png\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n\u5f88\u9057\u61be\u5e76\u6ca1\u6709\u53d1\u73b0\u9884\u6599\u7684\u7b80\u6d01\u7ed3\u8bba\u3002\u5982\u679c\u4e0d\u4ece\u56db\u500d\u89d2\u5ea6\u770b\uff0c\u4e5f\u53ef\u4ee5\u901a\u8fc7\u4f5c\u51fa\u5706\u5fc3\u5173\u4e8e\u5206\u79bb\u70b9\u7ad6\u76f4\u65b9\u5411\u5bf9\u79f0\u70b9\u548c\u5206\u79bb\u70b9\u8fde\u7ebf\u7684\u5782\u76f4\u65b9\u5411\u7684\u76f4\u7ebf\u548c\u5706\u5468\u4ea4\u70b9\u5373\u662f\u843d\u70b9\u4f4d\u7f6e\uff1b\u6216\u5706\u5fc3\u5173\u4e8e\u5206\u79bb\u70b9\u7ad6\u76f4\u65b9\u5411\u5bf9\u79f0\u70b9\u4e0e\u5206\u79bb\u70b9\u8fde\u7ebf\u548c\u5706\u7684\u4ea4\u70b9\u4e0e\u5706\u5fc3\u8fde\u7ebf\u7684\u76f4\u5f84\u4e0a\u7684\u53e6\u4e00\u70b9\u5373\u4e3a\u843d\u70b9&#8230;\u4e0b\u9762\u7b97\u662f\u66f4\u597d\u7684\u7b80\u5316\u3002<br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/2023-03-02-GQP.png\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n\u5f53\u7136\uff0c\u5982\u679c\u5355\u7eaf\u51e0\u4f55\u6784\u9020\u7684\u89d2\u5ea6\u770b\u4e5f\u7b97\u7b80\u5355\uff1a<br \/>\n1\u3001\u6784\u9020\u8fc7\u5206\u79bb\u70b9A\u7684\u7ad6\u76f4\u76f4\u7ebf\uff0c\u4e5f\u662f\u91cd\u529b\u65b9\u5411\uff0c\u4e0e\u5706\u76f8\u4ea4B\u70b9\uff1b2\u3001\u8fde\u63a5B\u4e0e\u5706\u5fc3\u7684\u76f4\u7ebf\uff1b3\u3001\u8fc7\u5206\u79bb\u70b9A\u505a\u5782\u7ebf\uff0c\u4e0e\u5706\u76f8\u4ea4C\u5373\u4e3a\u843d\u70b9\u3002\u4e5f\u662fA\u5173\u4e8e\u76f4\u7ebf\u7684\u5bf9\u79f0\u70b9\u3002<br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/20230302205220.png\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n\u8fd8\u662f\u611f\u89c9\u6709\u6bd4\u4e0a\u9762\u7684\u8bba\u8bc1\u66f4\u7b80\u6d01\u7684\u89c1\u89e3\uff0c\u4e5f\u68c0\u9a8c\u4e86\u4e00\u4e0b\uff0c\u4e0a\u8ff0\u7ed3\u8bba\u4e5f\u662f\u629b\u7269\u7ebf\u66f2\u7387\u5706\uff08\u5bc6\u5207\u5706\uff0cOsculating circle\uff09\u7684\u4e00\u822c\u6027\u8d28\uff08\u4e4b\u524d\u7adf\u7136\u6ca1\u6709\u6ce8\u610f\u539f\u6765\u7684\u5706\u5f62\u8f68\u9053\u4e0d\u8fc7\u662f\u539f\u672c\u629b\u7269\u7ebf\u7684\u5bc6\u5207\u5706\u800c\u5df2\uff09\u3002\u90a3\u692d\u5706\u548c\u53cc\u66f2\u7ebf\u5462\uff0c\u4f30\u8ba1\u539f\u672c\u7684\u7ad6\u76f4\u65b9\u5411\u4f1a\u53d8\u6210\u6307\u5411\u5f15\u529b\u4e2d\u5fc3\u7684\u65b9\u5411\uff1f\u539f\u6765\u8fd9\u662f\u4e2a\u666e\u9002\u7684\u7ed3\u8bba\uff1a\u8fc7\u5206\u79bb\u70b9\u4e0e\u5706\u9525\u66f2\u7ebf\u5bf9\u79f0\u8f74\u7684\u5e73\u884c\u6216\u5782\u7ebf\u548c\u5bc6\u5207\u5706\u76f8\u4ea4\uff0c\u7136\u540e\u5206\u79bb\u70b9\u4e0e\u8fde\u63a5\u4ea4\u70b9\u548c\u5bc6\u5207\u5706\u5706\u5fc3\uff08\u66f2\u7387\u4e2d\u5fc3\uff09\u7684\u5782\u7ebf\u4e0e\u5bc6\u5207\u5706\u7684\u4ea4\u70b9\u5373\u662f\u56de\u5f52\u70b9\u3002\uff08\u4e5f\u662f\u5206\u79bb\u70b9\u548c\u56de\u5f52\u70b9\u4e0e\u5bc6\u5207\u5706\u5706\u5fc3\u5939\u89d2\u8fd8\u662f4\u03b1\uff09<br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/2023030511.png\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n\u9644\u9ad8\u4e00\u4e03\u73ed\u738b\u8fdc\u5353\u7684\u8bc1\u660e\uff1a<br \/>\n<center><img decoding=\"async\" alt=\"\" src=\"http:\/\/www.qiusir.com\/wp-content\/gallery\/physics\/20230303yz.JPG\" width=\"480\" class=\"framed\" \/><\/center><br \/>\n\u9644\uff08\u7269\u7406\u548c\u6570\u5b66\u4e0a\u5e76\u4e0d\u56f0\u96be\u7684\u95ee\u9898\uff0c\u5b66\u751f\u4e3b\u52a8\u60f3\u5230\u66f4\u4e00\u822c\u7684\u63a2\u7d22\u7684\u613f\u671b\u548c\u52aa\u529b\u503c\u5f97\u7559\u540d\uff09<br \/>\n\u6668\u897f\u8bbe\u5b9a\u91ca\u653e\u70b9\u8ddd\u79bb\u5706\u5f62\u8f68\u9053\u5706\u5fc3\u9ad8\u5ea6h\uff0c\u5219\u8131\u79bb\u70b9\u4e0e\u7ad6\u76f4\u5939\u89d2$$cos\\theta=\\frac{2h}{3r}$$\uff0c\u5982\u6b64\u8bbe\u5b9a\u7ed3\u679c\u7b80\u6d01\uff1b\u6d69\u777f\u8bbe\u5b9a\u91ca\u653e\u70b9\u8ddd\u79bb\u5730\u9762\u9ad8\u5ea6\u4e3a\u534a\u5f84n\u500d\uff0c\u5219\u4e0a\u5347\u6700\u5927\u9ad8\u5ea6\u4e3a$$n-\\frac{4}{27}(n-1)^3$$&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u51e0\u5e74\u524d\u6211\u66fe\u7f16\u8fc7\u4e00\u9053\u9898\u76ee\uff0c\u7ad6\u76f4\u5e73\u9762\u5149\u6ed1\u8f68\u9053\u4e0a\uff0c\u6c42\u5c0f\u7403\u4ece2r\u7b49\u9ad8\u5904\u9759\u6b62\u91ca\u653e\u4e0a\u5347\u7684\u6700\u5927\u9ad8\u5ea6\u3002\u8d77\u521d\u4e0d\u5c11\u5b66\u751f\u4e0d\u7406\u89e3\u4e3a\u4ec0\u4e48 &#8230; <a title=\"\u5706\u9525\u66f2\u7ebf\u4e0e\u5bc6\u5207\u5706\u4ea4\u70b9\u51e0\u4f55\u6027\u8d28\" class=\"read-more\" href=\"https:\/\/www.qiusir.com\/?p=26641\" 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