{"id":292249,"date":"2024-05-20T14:13:56","date_gmt":"2024-05-20T06:13:56","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/292249.html"},"modified":"2024-05-20T14:14:14","modified_gmt":"2024-05-20T06:14:14","slug":"%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e5%bc%93%e5%bd%a2%e7%9a%84%e9%9d%a2%e7%a7%af","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/292249.html","title":{"rendered":"\u5982\u4f55\u8ba1\u7b97\u5f13\u5f62\u7684\u9762\u79ef"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/27134945\/a97dca48-7ae0-4eb0-a6e7-bc5fe53608b0.webp\" alt=\"\u5982\u4f55\u8ba1\u7b97\u5f13\u5f62\u7684\u9762\u79ef\" \/><\/p>\n<p><p>\u5f13\u5f62\u7684\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u7ec4\u5408\u548c\u51cf\u6cd5\u539f\u7406\u6765\u8ba1\u7b97\uff0c\u901a\u5e38\u6d89\u53ca\u5230<strong>\u6247\u5f62\u9762\u79ef\u51cf\u53bb\u4e09\u89d2\u5f62\u9762\u79ef<\/strong>\u6216<strong>\u4f7f\u7528\u5706\u7684\u9762\u79ef\u51cf\u53bb\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9762\u79ef<\/strong>\u3002\u7ed9\u5b9a\u4e00\u4e2a\u5f13\u5f62\uff0c\u4f60\u9996\u5148\u9700\u8981\u77e5\u9053\u7684\u6570\u636e\u662f\u5176\u76f8\u5173\u7684\u5706\u7684\u534a\u5f84\uff08r\uff09\u548c\u5f13\u5f62\u9876\u89d2\uff08\u03b8\uff09\u6216\u5f13\u5f62\u7684\u5f26\u957f\uff08l\uff09\u548c\u9ad8\uff08h\uff09\u3002\u5982\u679c\u77e5\u9053\u9876\u89d2\u548c\u534a\u5f84\uff0c\u53ef\u4ee5\u4f7f\u7528\u6247\u5f62\u9762\u79ef\u516c\u5f0f\uff08(\\frac{1}{2}r^2\\theta)\uff0c\u5176\u4e2d\u03b8\u662f\u5f27\u5ea6\u5236\u4e0b\u7684\u89d2\u5ea6\uff09\u51cf\u53bb\u7531\u534a\u5f84\u548c\u9876\u89d2\u6240\u5b9a\u4e49\u7684\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u3002\u5982\u679c\u77e5\u9053\u5f26\u957f\u548c\u9ad8\uff0c\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u51cf\u6cd5\u6c42\u5f97\uff1a\u9996\u5148\u8ba1\u7b97\u51fa\u76f8\u5e94\u7684\u6247\u5f62\u9762\u79ef\u548c\u6247\u5f62\u7684\u4e2d\u5fc3\u89d2\u5ea6\uff0c\u7136\u540e\u51cf\u53bb\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u3002<\/p>\n<\/p>\n<p><p><strong>\u5177\u4f53\u7684\u6b65\u9aa4<\/strong>\u5305\u62ec\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u8ba1\u7b97\u6247\u5f62\u7684\u9762\u79ef\u3002<\/li>\n<li>\u8ba1\u7b97\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u3002<\/li>\n<li>\u4ece\u6247\u5f62\u9762\u79ef\u4e2d\u51cf\u53bb\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u5f97\u5230\u5f13\u5f62\u7684\u9762\u79ef\u3002<\/li>\n<\/ol>\n<p><h3>\u4e00\u3001\u8ba1\u7b97\u6247\u5f62\u9762\u79ef<\/h3>\n<\/p>\n<p><p>\u5f53\u77e5\u9053\u4e2d\u5fc3\u89d2\u5ea6\u548c\u534a\u5f84\u65f6\uff0c\u53ef\u4ee5\u7528\u4e0b\u5217\u516c\u5f0f\u8ba1\u7b97\u6247\u5f62\u7684\u9762\u79ef\uff1a<\/p>\n<p>[<\/p>\n<p>\\text{\u6247\u5f62\u9762\u79ef} = \\frac{\\theta}{360} \\times \\pi r^2<\/p>\n<p>]<\/p>\n<p>\u5176\u4e2d\uff0c\u03b8\u8868\u793a\u89d2\u5ea6\uff0c\u800c\u4e0d\u662f\u5f27\u5ea6\uff0c\u5982\u679c\u89d2\u5ea6\u662f\u4ee5\u5f27\u5ea6\u4e3a\u5355\u4f4d\uff0c\u5219\u516c\u5f0f\u53d8\u4e3a\uff1a<\/p>\n<p>[<\/p>\n<p>\\text{\u6247\u5f62\u9762\u79ef} = \\frac{1}{2} r^2 \\theta<\/p>\n<p>]<\/p>\n<p>\u8fd9\u662f\u56e0\u4e3a\u4e00\u5f27\u5ea6\u5bf9\u5e94\u7684\u6247\u5f62\u9762\u79ef\u662f(\\dfrac{1}{2}r^2)\u3002<\/p>\n<\/p>\n<p><h3>\u4e8c\u3001\u8ba1\u7b97\u7b49\u8170\u4e09\u89d2\u5f62\u9762\u79ef<\/h3>\n<\/p>\n<p><p>\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\uff1a<\/p>\n<p>[<\/p>\n<p>\\text{\u4e09\u89d2\u5f62\u9762\u79ef} = \\frac{1}{2} \\times \\text{\u5e95} \\times \\text{\u9ad8}<\/p>\n<p>]<\/p>\n<p>\u5bf9\u4e8e\u5f13\u5f62\uff0c\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u5e95\u5c31\u662f\u5f13\u5f62\u7684\u5f26\uff0c\u9ad8\u662f\u4ece\u5706\u5fc3\u5230\u5f26\u7684\u5782\u76f4\u8ddd\u79bb\u3002\u5982\u679c\u77e5\u9053\u534a\u5f84\u548c\u9876\u89d2\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u4e09\u89d2\u51fd\u6570\u6765\u8ba1\u7b97\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff1a<\/p>\n<p>[<\/p>\n<p>\\text{\u4e09\u89d2\u5f62\u9762\u79ef} = \\frac{1}{2} r^2 \\sin(\\theta)<\/p>\n<p>]<\/p>\n<\/p>\n<p><h3>\u4e09\u3001\u4ece\u6247\u5f62\u9762\u79ef\u4e2d\u51cf\u53bb\u7b49\u8170\u4e09\u89d2\u5f62\u9762\u79ef<\/h3>\n<\/p>\n<p><p>\u6700\u7ec8\u5f13\u5f62\u7684\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u5f97\u5230\uff1a<\/p>\n<p>[<\/p>\n<p>\\text{\u5f13\u5f62\u9762\u79ef} = \\text{\u6247\u5f62\u9762\u79ef} &#8211; \\text{\u4e09\u89d2\u5f62\u9762\u79ef}<\/p>\n<p>]<\/p>\n<p>\u8fd9\u5c31\u662f\u5c06\u524d\u9762\u8ba1\u7b97\u7684\u6247\u5f62\u548c\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u8fdb\u884c\u7ec4\u5408\u7684\u7ed3\u679c\u3002<\/p>\n<\/p>\n<p><h3>\u56db\u3001\u4f7f\u7528\u5f26\u957f\u548c\u9ad8\u8ba1\u7b97\u5f13\u5f62\u9762\u79ef<\/h3>\n<\/p>\n<p><p>\u5982\u679c\u53ea\u77e5\u9053\u5f13\u5f62\u7684\u5f26\u957f(l)\u548c\u9ad8(h)\uff0c\u90a3\u4e48\u9700\u8981\u901a\u8fc7\u8fd9\u4e24\u4e2a\u91cf\u5148\u6c42\u51fa\u5706\u7684\u534a\u5f84\u6216\u662f\u6247\u5f62\u7684\u4e2d\u5fc3\u89d2\u5ea6\u3002\u8fd9\u5f80\u5f80\u6d89\u53ca\u5230\u66f4\u590d\u6742\u7684\u51e0\u4f55\u5173\u7cfb\u548c\u4e09\u89d2\u8fd0\u7b97\u3002\u5177\u4f53\u8ba1\u7b97\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u901a\u8fc7\u5f26\u957f\u548c\u9ad8\u6c42\u5706\u7684\u534a\u5f84\uff1a<\/p>\n<p>[<\/p>\n<p>r = \\frac{h^2+l^2\/4}{2h}<\/p>\n<p>]<\/li>\n<\/p>\n<li>\u8ba1\u7b97\u4e2d\u5fc3\u89d2\u03b8\uff1a<\/p>\n<p>[<\/p>\n<p>\u03b8 = 2 \\times \\arcsin\\left(\\frac{l}{2r}\\right)<\/p>\n<p>]<\/li>\n<\/p>\n<li>\u6700\u540e\u6c42\u5f97\u5f13\u5f62\u9762\u79ef\uff1a<\/p>\n<p>[<\/p>\n<p>\\text{\u5f13\u5f62\u9762\u79ef} = \\frac{1}{2} r^2 (\u03b8 &#8211; \\sin(\u03b8))<\/p>\n<p>]<\/p>\n<p>\u5176\u4e2d\u03b8\u9700\u8981\u662f\u5f27\u5ea6\u5236\u3002<\/li>\n<\/p>\n<\/ol>\n<p><p><strong>\u8ba1\u7b97\u5f13\u5f62\u9762\u79ef<\/strong>\u662f\u4e00\u4e2a\u9700\u8981\u51c6\u786e\u77e5\u9053\u76f8\u5173\u5c3a\u5bf8\u548c\u5229\u7528\u4e09\u89d2\u5b66\u539f\u7406\u7684\u8fc7\u7a0b\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u8fd9\u4e9b\u8ba1\u7b97\u53ef\u4ee5\u5e2e\u52a9\u8bbe\u8ba1\u548c\u5de5\u7a0b\u9886\u57df\u7684\u4e13\u4e1a\u4eba\u58eb\u51c6\u786e\u5730\u7406\u89e3\u548c\u64cd\u4f5c\u66f2\u7ebf\u5f62\u72b6\u7684\u7269\u4f53\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p><strong>1. \u5f13\u5f62\u7684\u9762\u79ef\u8ba1\u7b97\u516c\u5f0f\u662f\u4ec0\u4e48\uff1f<\/strong><br \/>\n\u5f13\u5f62\u7684\u9762\u79ef\u8ba1\u7b97\u516c\u5f0f\u662f\u901a\u8fc7\u5c06\u5f13\u5f62\u770b\u4f5c\u4e24\u4e2a\u534a\u5706\uff0c\u8ba1\u7b97\u51fa\u4e24\u4e2a\u534a\u5706\u7684\u9762\u79ef\u4e4b\u548c\u3002\u5176\u4e2d\u4e00\u4e2a\u534a\u5706\u7684\u534a\u5f84\u662f\u5f13\u7684\u5f26\u957f\u7684\u4e00\u534a\uff0c\u53e6\u4e00\u4e2a\u534a\u5706\u7684\u534a\u5f84\u662f\u5f13\u7684\u9ad8\u5ea6\u51cf\u53bb\u5f26\u7684\u4e00\u534a\u7684\u957f\u5ea6\u3002\u7136\u540e\uff0c\u5c06\u4e24\u4e2a\u534a\u5706\u7684\u9762\u79ef\u76f8\u52a0\u5373\u53ef\u5f97\u5230\u5f13\u5f62\u7684\u9762\u79ef\u3002<\/p>\n<p><strong>2. \u6709\u6ca1\u6709\u66f4\u7b80\u4fbf\u7684\u65b9\u6cd5\u6765\u8ba1\u7b97\u5f13\u5f62\u7684\u9762\u79ef\uff1f<\/strong><br \/>\n\u9664\u4e86\u4f7f\u7528\u4f20\u7edf\u7684\u534a\u5706\u9762\u79ef\u6c42\u548c\u7684\u65b9\u6cd5\u4e4b\u5916\uff0c\u4e5f\u53ef\u4ee5\u4f7f\u7528\u79ef\u5206\u6765\u8ba1\u7b97\u5f13\u5f62\u7684\u9762\u79ef\u3002\u9996\u5148\uff0c\u786e\u5b9a\u5f13\u7684\u65b9\u7a0b\uff0c\u5c06\u5176\u8f6c\u5316\u4e3a\u6781\u5750\u6807\u7cfb\u4e0b\u7684\u65b9\u7a0b\u3002\u7136\u540e\uff0c\u901a\u8fc7\u79ef\u5206\u8ba1\u7b97\u5f27\u957f\u5e76\u6c42\u5f97\u5bf9\u5e94\u7684\u89d2\u5ea6\u8303\u56f4\u3002\u6700\u540e\uff0c\u5c06\u5f27\u957f\u548c\u89d2\u5ea6\u4ee3\u5165\u5230\u5f13\u5f62\u9762\u79ef\u7684\u79ef\u5206\u516c\u5f0f\u4e2d\uff0c\u5373\u53ef\u5f97\u5230\u5f13\u5f62\u7684\u9762\u79ef\u3002<\/p>\n<p><strong>3. \u5982\u4f55\u8ba1\u7b97\u4e0d\u89c4\u5219\u5f13\u5f62\u7684\u9762\u79ef\uff1f<\/strong><br \/>\n\u5bf9\u4e8e\u4e0d\u89c4\u5219\u5f62\u72b6\u7684\u5f13\u5f62\uff0c\u65e0\u6cd5\u76f4\u63a5\u4f7f\u7528\u5e38\u89c4\u7684\u534a\u5706\u9762\u79ef\u516c\u5f0f\u6216\u79ef\u5206\u65b9\u6cd5\u6765\u8ba1\u7b97\u3002\u6b64\u65f6\uff0c\u53ef\u4ee5\u5c06\u4e0d\u89c4\u5219\u5f13\u5f62\u5206\u6210\u51e0\u4e2a\u5c0f\u5757\uff0c\u7528\u9002\u5f53\u7684\u65b9\u6cd5\u8ba1\u7b97\u6bcf\u4e2a\u5c0f\u5757\u7684\u9762\u79ef\uff0c\u7136\u540e\u5c06\u6240\u6709\u5c0f\u5757\u7684\u9762\u79ef\u76f8\u52a0\u5f97\u5230\u603b\u9762\u79ef\u3002\u53ef\u91c7\u7528\u8fd1\u4f3c\u6cd5\uff0c\u5c06\u5f13\u5f62\u5c3d\u53ef\u80fd\u5206\u5272\u6210\u76f4\u89d2\u4e09\u89d2\u5f62\u6216\u68af\u5f62\uff0c\u7136\u540e\u8ba1\u7b97\u5404\u4e2a\u5c0f\u5757\u7684\u9762\u79ef\uff0c\u5e76\u5c06\u5b83\u4eec\u76f8\u52a0\u5f97\u5230\u4e0d\u89c4\u5219\u5f13\u5f62\u7684\u9762\u79ef\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5f13\u5f62\u7684\u9762\u79ef\u53ef\u4ee5\u901a\u8fc7\u7ec4\u5408\u548c\u51cf\u6cd5\u539f\u7406\u6765\u8ba1\u7b97\uff0c\u901a\u5e38\u6d89\u53ca\u5230\u6247\u5f62\u9762\u79ef\u51cf\u53bb\u4e09\u89d2\u5f62\u9762\u79ef\u6216\u4f7f\u7528\u5706\u7684\u9762\u79ef\u51cf\u53bb\u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9762\u79ef\u3002\u7ed9 [&hellip;]","protected":false},"author":3,"featured_media":292274,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/292249"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=292249"}],"version-history":[{"count":0,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/292249\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/292274"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=292249"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=292249"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=292249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}