{"id":19818,"date":"2021-03-29T07:58:13","date_gmt":"2021-03-28T23:58:13","guid":{"rendered":"http:\/\/www.qiusir.com\/?p=19818"},"modified":"2021-03-29T07:58:13","modified_gmt":"2021-03-28T23:58:13","slug":"%e7%89%a9%e7%90%86%e9%a2%98%e7%9b%ae%e5%ad%98%e6%a1%a3","status":"publish","type":"post","link":"https:\/\/www.qiusir.com\/?p=19818","title":{"rendered":"\u4f4d\u79fb\u4e2d\u70b9\u4e0e\u65f6\u95f4\u4e2d\u70b9\u7684\u4f4d\u79fb"},"content":{"rendered":"

\u6700\u8fd1\u624d\u4e3b\u8981\u5173\u4e8e\u5300\u53d8\u901f\u8fd0\u52a8\u4f4d\u7f6e\u4e2d\u70b9\u5230\u4e2d\u95f4\u65f6\u523b\u7684\u4f4d\u79fb\u7684\u7ed3\u8bba\u7adf\u7136\u5982\u6b64\u5947\u5999:$$\\frac{1}{8}aT^2$$\u3002\u6709\u4e86\u8fd9\u4e2a\u7cbe\u7b80\u7684\u7ed3\u8bba\uff0c\u5206\u6790\u7528\u5149\u7535\u95e8\u6d4b\u91cf\u7269\u4f53\u51cf\u901f\u5ea6\u7684\u8bef\u5dee\u95ee\u9898\u5c31\u8981\u5bb9\u6613\u5f88\u591a\uff0c\u800c\u66f4\u503c\u5f97\u73cd\u60dc\u7684\u662f\u8fd9\u4e2a\u8ba4\u77e5\u8fc7\u7a0b\u4e2d\u5b66\u751f\u548c\u8001\u5e08\u7684\u534f\u529b\u53d1\u5c55\u3002<\/p>\n

\u5df2\u77e5\u7269\u4f53\u5300\u52a0\u901f\u901a\u8fc7\u4e24\u4e2a\u8ddd\u79bb\u4e3aL\u7684\u5149\u7535\u95e8\uff0c\u906e\u5149\u7247\u5bbd\u5ea6\u4e3ad\uff0c\u901a\u8fc7\u4e24\u4e2a\u5149\u7535\u95e8\u6240\u9700\u65f6\u95f4\u5206\u522b\u662f$$\\Delta{t_1}$$\u548c$$\\Delta{t_2}$$\u3002\u7528\u8fd9\u79cd\u65b9\u6cd5\u6d4b\u7684\u52a0\u901f\u5ea6\u4e3a$$a=\\frac{(\\frac{d}{\\Delta{t_2}})^2-(\\frac{d}{\\Delta{t_1}})^2}{2L}$$\uff0c\u800c\u8fd9\u4e2a\u95ee\u9898\u7684\u96be\u70b9\u662f\u5bf9\u4e8e\u7528\u8fd9\u79cd\u65b9\u6cd5\u6d4b\u91cf\u52a0\u901f\u5ea6\u7684\u7cfb\u7edf\u8bef\u5dee\u662f\u504f\u5927\u8fd8\u662f\u504f\u5c0f\uff08\u5ffd\u7565\u5076\u7136\u56e0\u7d20\u7684\u5f71\u54cd\uff09\u3002
\n\u9996\u5148\u5e94\u8be5\u660e\u786e\u7684\u662fL\u662f\u4e24\u4e2a\u5149\u7535\u95e8\u7684\u8ddd\u79bb\uff0c\u4e5f\u662f\u4e24\u4e2a\u906e\u5149\u7247\u4e2d\u70b9\u5904\u7ecf\u8fc7\u5149\u7535\u95e8\u7684\u8ddd\u79bb\uff0c\u800c\u4e0a\u8ff0\u65b9\u6cd5\u7528\u5230\u7684\u901f\u5ea6\u662f\u906e\u5149\u7247\u7ecf\u8fc7\u5149\u7535\u95e8\u7684\u5e73\u5747\u901f\u5ea6\uff0c\u4e5f\u662f\u4e2d\u95f4\u65f6\u523b\u7684\u901f\u5ea6\uff0c\u5e94\u8be5\u7528\u4e2d\u95f4\u65f6\u523b\u95f4\u7684\u4f4d\u79fb\u800c\u4f7f\u7528\u7684\u662f\u4e2d\u95f4\u4f4d\u7f6e\u7684\u4f4d\u79fb\uff0c\u8fd9\u662f\u7cfb\u7edf\u8bef\u5dee\u4ea7\u751f\u7684\u539f\u56e0\u3002
\n\u4ece\u5e94\u8bd5\u770b\uff0c\u6bd5\u7adf\u53ea\u662f\u4e00\u4e2a\u4e8c\u9009\u4e00\u7684\u586b\u7a7a\uff0c\u6700\u521d\u6211\u53ea\u662f\u91c7\u7528\u8fd1\u4f3c\u6cd5\u8fdb\u884c\u7cfb\u7edf\u8bef\u5dee\u5206\u6790\u7684\uff0c\u901f\u5ea6\u66f4\u5feb\u65f6\u7ecf\u8fc7\u5149\u7535\u95e8\u65f6\uff0c\u4e2d\u95f4\u4f4d\u7f6e\u548c\u4e2d\u95f4\u65f6\u523b\u66f4\u63a5\u8fd1\uff0c\u7b97\u662f\u6b21\u8981\u56e0\u7d20\uff08\u4e5f\u4e0d\u4e25\u8c28\uff0c\u5c3d\u7ba1\u65f6\u95f4\u5dee\u5c0f\u4f46\u901f\u5ea6\u5dee\u5927\uff09\u3002\u4ece\u901f\u5ea6\u65f6\u95f4\u56fe\u50cf\u770b\uff0c\u4e2d\u95f4\u65f6\u523b\u95f4\u7684\u4f4d\u79fb\u5927\u4e8e\u4e2d\u95f4\u4f4d\u7f6e\u7684\u4f4d\u79fb\uff0c\u6240\u4ee5\u7cfb\u7edf\u8bef\u5dee\u662f\u6d4b\u5f97\u7684\u52a0\u901f\u5ea6\u504f\u5927\u3002\u540e\u6765\u624d\u6ce8\u610f\u5230\u8fd9\u672c\u8eab\u5c31\u662f\u4e00\u9053\u5f88\u4e0d\u9519\u7684\u8fd0\u52a8\u5b66\u9898\u76ee\u3002
\n\u8fd9\u51e0\u5e74\u5927\u6982\u6709\u51e0\u4e2a\u5b66\u751f\u5bf9\u8fd9\u4e2a\u95ee\u9898\u6709\u7740\u81ea\u5df1\u5f88\u4e0d\u591a\u7684\u63a2\u7a76\u3002<\/p>\n

\u5d14\u5bb6\u745e
\n\u5c11\u513f\u73ed\u5316\u5b66\u7ade\u8d5b\u5b66\u751f\uff0c\u6c42\u5e08\u5f97\u6570\u4f4d\u5b66\u4e60\u7684\u5927\u5c06\u3002\u8bb0\u5f97\u5d14\u540c\u5b66\u7adf\u7136\u8bbe\u4e86\u56db\u4e2a\u901f\u5ea6\uff0c\u4f46\u7ed3\u679c\u53c8\u5f88\u7b80\u7b54\uff0c\u4ee3\u6570\u7684\u529b\u91cf\u611f\u73b0\u5728\u8fd8\u6709\u5370\u8c61\u3002\u4e3a\u4e86\u7b80\u5316\uff0c\u8fd9\u91cc\u5c31\u5206\u6790\u7ecf\u8fc7\u7b2c\u4e00\u4e2a\u906e\u5149\u7247\u7684\u60c5\u51b5\u5c31\u597d\u3002
\n\u521d\u901f\u5ea6$$v_1$$\uff0c\u672b\u901f\u5ea6$$v_2$$\uff0c\u4e2d\u95f4\u65f6\u523b\u7684\u901f\u5ea6$$v_{\\frac{t}{2}}=\\frac{v_1+v_2}{2}$$\uff0c\u4e2d\u95f4\u4f4d\u7f6e\u7684\u901f\u5ea6$$v_{\\frac{x}{2}}=\\sqrt{\\frac{v_1^2+v_2^2}{2}}$$\uff0c
\n$$\\Delta{x}=\\frac{v_{\\frac{x}{2}}^2-v_{\\frac{t}{2}}^2}{2a}$$\uff0c\u6574\u7406\u7684\uff0c$$\\Delta{x}=\\frac{(v_2-v_1)^2}{8a}$$
\n\u5f20\u5bb8\u6eaa
\n\u76f4\u5347\u73ed\u5f00\u6717\u7684\u7537\u5b69\uff0c\u521d\u4e09\u76f4\u5347\u7684\u5b66\u751f\u6709\u8010\u5fc3\u7528\u57fa\u672c\u7684\u516c\u5f0f\u8fdb\u884c\u8fd0\u7b97\uff0c\u8fd9\u662f\u5b66\u751f\u6700\u5e94\u8be5\u7528\u7684\u65b9\u6cd5\u3002\u501f\u52a9\u56fe\u50cf\u66f4\u5bb9\u6613\u7406\u89e3\u3002
\n$$\\frac{1}{2}(v_1T+\\frac{1}{2}aT^2)-v_1\\frac{T}{2}+\\frac{1}{2}a{\\frac{T}{2}}^2$$
\n\u6574\u7406\u540e\u5f97\uff0c\u4f4d\u7f6e\u4e2d\u70b9\u4e0e\u4e2d\u95f4\u65f6\u523b\u95f4\u7684\u8ddd\u79bb$$\\Delta{x}=\\frac{1}{8}aT^2$$
\n\u963f\u5e03\u90fd\u65ed\u5e93\u5c14
\n\u8096\u9065\u8001\u5e08\u5728\u53bb\u98df\u5802\u7684\u8def\u4e0a\u548c\u6211\u8bf4\u8d77\u65b0\u7586\u90e8\u6709\u5b66\u751f\u53d1\u73b0\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u89c9\u5f97\u5f88\u597d\uff0c\u5403\u996d\u7684\u65f6\u5019\u8fd8\u5728\u8ba8\u8bba\uff0c\u7684\u786e\u5f88\u5de7\u5999\uff0c\u800c\u6211\u7684\u8bb0\u5fc6\u529b\u7b2c\u4e00\u6b21\u51fa\u73b0\u65b0\u7586\u5b66\u751f\u7684\u5947\u601d\u5999\u60f3\uff0c\u8fd9\u7b97\u662f\u6211\u82b1\u65f6\u95f4\u6574\u7406\u8fd9\u4e2a\u77e5\u8bc6\u70b9\u7684\u52a8\u529b\u4e4b\u4e00\u3002
\n\u4ed6\u7528\u5230$$\\Delta{x’}=a(\\frac{T}{2})^2$$\uff0c\u5373\u76f8\u90bb\u65f6\u95f4\u95f4\u9694\u5185\u4f4d\u79fb\u5dee\uff0c\u800c\u6211\u4eec\u8981\u6c42\u89e3\u7684\u662f\u4e2d\u95f4\u4f4d\u7f6e\u548c\u4e2d\u95f4\u65f6\u523b\u7684\u8ddd\u79bb\uff0c\u5e94\u8be5\u662f\u521a\u624d\u8fd9\u4e2a\u5dee\u503c\u7684\u4e00\u534a\uff0c\u5373\u53ea\u6709\u4ece\u4e2d\u95f4\u65f6\u523b\u7684\u4f4d\u7f6e\u540e\u64a4\u521a\u624d\u7684\u4f4d\u79fb\u7684\u4e00\u822c\u624d\u80fd\u4fdd\u8bc1\u662f\u4f4d\u7f6e\u7684\u4e2d\u70b9\u3002$$\\Delta{x}=\\frac{1}{2}a(\\frac{T}{2})^2$$
\n\u5f90\u5ddd\u7693
\n\u6bd5\u4e1a\u8bb8\u4e45\u7684\u5f90\u540c\u5b66\u9664\u4e86\u5728\u8bf4\u8bf4\u4e0a\u603b\u7ed9\u6211\u70b9\u8d5e\uff0c\u8fd8\u9f13\u52b1\u8fc7\u6211\u575a\u6301\u81ea\u5df1\u7684\u6559\u80b2\u7406\u60f3\u3002\u6211\u8bb0\u5fc6\u4e2d\u4ed6\u53ef\u662f\u5f88\u5185\u655b\u7684\u5b66\u751f\uff0c\u800c\u4e00\u6b21\u8bfe\u4e0a\u8ba8\u8bba\u8fd9\u9053\u52a0\u901f\u5ea6\u8bef\u5dee\u7684\u95ee\u9898\uff0c\u4ed6\u60f3\u5230\u7684\u662f\u9762\u79ef\u5272\u8865\u7684\u65b9\u6cd5\uff0c\u73b0\u5728\u5370\u8c61\u8fd8\u662f\u6df1\u523b\u3002\u4e2d\u95f4\u4f4d\u7f6e\u4e0e\u4e2d\u95f4\u65f6\u523b\u7684\u4f4d\u79fb\u8f6c\u5316\u4e3a\u4e2d\u95f4\u65f6\u523b\u4e0e\u901f\u5ea6\u8f74\u7684\u4e09\u89d2\u5f62\u9762\u79ef\uff0c\u7ed3\u8bba\u4e00\u76ee\u4e86\u7136\u3002
\n

\"\u200e\"<\/center>
\n\u4efb\u6cc9\u7fbd
\n\u7406\u79d1\u90e8\u5b66\u751f\u4f1a\u7684\u201c\u8001\u5e72\u90e8\u201d\uff0c\u5b66\u4e60\u8e0f\u5b9e\u8bda\u6073\uff0c\u8fd9\u662f\u53ef\u662f\u5b66\u4e60\u54c1\u8d28\u4e2d\u7684\u5927\u806a\u660e\uff0c\u4ed6\u5bf9\u4e8e\u7279\u6b8a\u60c5\u51b5\u7684\u5206\u6790\u5176\u5b9e\u4e5f\u5f88\u6709\u610f\u4e49\u3002\u5c31\u662f\u5982\u679c\u521d\u901f\u5ea6\u4e3a0\uff0c\u524d\u4e00\u534a\u65f6\u95f4\u548c\u540e\u4e00\u534a\u65f6\u95f4\u7684\u4f4d\u79fb\u662f1\u548c3\u4efd\uff0c\u800c\u4e2d\u70b9\u5f53\u7136\u524d\u540e\u662f2\u4efd\uff0c\u90a3\u4e2d\u95f4\u65f6\u523b\u548c\u4e2d\u70b9\u7684\u4f4d\u79fb\u81ea\u7136\u662f1\u4efd\u4e86\uff0c\u4e5f\u5c31\u662f\u4f4d\u79fb\u7684$$\\frac{1}{4}$$\uff0c\u4ece\u8fd9\u4e2a\u89d2\u5ea6\u770b\uff0c\u524d\u9762\u7684\u7ed3\u8bba\u53ef\u4ee5\u770b\u6210\u662f$$\\Delta{x}=\\frac{1}{4}\\frac{1}{2}aT^2$$\uff0c\u4ece\u4e00\u79cd\u7279\u6b8a\u60c5\u51b5\u770b\u5230\u8fd9\u4e2a\u89c4\u5f8b\u7adf\u7136\u6709\u901a\u7528\u6027\u3002<\/p>\n

\"physics\"<\/center>
\n\u8fb9\u601d\u7fbd
\n\u5206\u522b\u8bbe\u5b9a\u7b2c\u4e00\u6b21\u906e\u5149\u7ed3\u675f\u65f6\u7684\u901f\u5ea6$$v_1$$\u548c\u7b2c\u4e8c\u6b21\u906e\u5149\u7ed3\u675f\u65f6\u7684\u901f\u5ea6$$v_2$$\uff0c$$d=v_1t_1-\\frac{1}{2}a{t_1}^2$$\uff0c$$d=v_2t_2-\\frac{1}{2}a{t_2}^2$$\uff0c\u5229\u7528$$a=\\frac{{v_2}^2-{v_1}^2}{2l}$$\uff0c\u5e76\u7531\u524d\u4e24\u5f0f\u4ee3\u5165\u5316\u7b80\u53ef\u5f97\uff0c$$a<\\frac{(\\frac{d}{t_2})^2-(\\frac{d}{t_1})^2}{2L}$$\n\n\u5982\u679c\u662f\u6d4b\u51cf\u901f\u8fd0\u52a8\u7684\u52a0\u901f\u5ea6\uff0c\u7ed3\u8bba\u76f8\u53cd\u3002\n<\/p>\n","protected":false},"excerpt":{"rendered":"

\u6700\u8fd1\u624d\u4e3b\u8981\u5173\u4e8e\u5300\u53d8\u901f\u8fd0\u52a8\u4f4d\u7f6e\u4e2d\u70b9\u5230\u4e2d\u95f4\u65f6\u523b\u7684\u4f4d\u79fb\u7684\u7ed3\u8bba\u7adf\u7136\u5982\u6b64\u5947\u5999:$$\\frac{1}{8}aT^2$$\u3002\u6709 … \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":[247,263],"class_list":["post-19818","post","type-post","status-publish","format-standard","hentry","category-mpo","tag-physics","tag-teach"],"_links":{"self":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/19818","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=19818"}],"version-history":[{"count":0,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=\/wp\/v2\/posts\/19818\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=19818"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=19818"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.qiusir.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=19818"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}