{"id":149,"date":"2023-12-21T17:29:14","date_gmt":"2023-12-21T09:29:14","guid":{"rendered":"https:\/\/my.oindalvi.eu.org\/?p=149"},"modified":"2023-12-25T14:54:38","modified_gmt":"2023-12-25T06:54:38","slug":"%e6%89%b9%e9%87%8f%e8%ae%a1%e7%ae%97%e7%ba%bf%e8%b7%af%e6%a0%87%e9%ab%98","status":"publish","type":"post","link":"https:\/\/my.di.cloudns.asia\/index.php\/2023\/12\/21\/149.html","title":{"rendered":"\u6279\u91cf\u8ba1\u7b97\u7ebf\u8def\u6807\u9ad8"},"content":{"rendered":"<blockquote>\n<p>\u672c\u6587\u7531 <a href=\"http:\/\/ksria.com\/simpread\/\">\u7b80\u60a6 SimpRead<\/a> \u8f6c\u7801\uff0c \u539f\u6587\u5730\u5740 <a href=\"https:\/\/zhuanlan.zhihu.com\/p\/564432150\">zhuanlan.zhihu.com<\/a><\/p>\n<\/blockquote>\n<p>\u6211\u7684\u4f7f\u7528\u573a\u666f\u53ef\u4ee5\u7b80\u5316\u4e3a\uff1a\u7ed9\u5b9a\u4e00\u6bb5\u7eb5\u6bb5\u9762\u6570\u636e\uff0c\u628a\u4ed6\u653e\u5230 Excel \u4e2d\u3002\u6253\u5f00\u4e00\u4e2a\u5199\u6709\u91cc\u7a0b\u7684 Excel \u8868\uff0c\u70b9\u51fb\u8fd0\u884c\u7a0b\u5e8f\uff0c\u5728\u6bcf\u4e2a\u91cc\u7a0b\u5355\u5143\u683c\u540e\u8fb9\u663e\u793a\u5bf9\u5e94\u7684\u6807\u9ad8\u3002<\/p>\n<h2>\u8f68\u9762\u6807\u9ad8\u8ba1\u7b97\u539f\u7406<\/h2>\n<h3>\u76f4\u7ebf\u6bb5\u7684\u6807\u9ad8<\/h3>\n<p>\u76f4\u7ebf\u6bb5\u7684\u5761\u5ea6\u8ba1\u7b97\u975e\u5e38\u597d\u8ba1\u7b97\u3002\u7ebf\u8def\u7eb5\u65ad\u9762\u56fe\u4e2d\u5df2\u7ed9\u51fa\u4e86\u7ebf\u8def\u7eb5\u65ad\u9762\u5728\u53d8\u5761\u62d0\u89d2\u65f6\u7684\u6807\u9ad8\uff0c\u6211\u4eec\u53ea\u9700\u8981\u6309\u5761\u5ea6\u4e58\u4ee5\u91cc\u7a0b\u95f4\u9694\u518d\u52a0\u4e0b\u53d8\u5761\u70b9\u7684\u6807\u9ad8\u5c31\u53ef\u4ee5\u4e86\u3002<br \/>\n<code class=\"mathjax-inline language-mathjax\">H=H_1+L\\times i \\tag{1}<\/code><br \/>\n<div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic4.zhimg.com\/v2-a023124c6b045069276fb66d3b572617_r.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic4.zhimg.com\/v2-a023124c6b045069276fb66d3b572617_r.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/p>\n<p>\u4e0d\u8fc7\u7531\u4e8e\u663e\u793a\u7cbe\u5ea6\u7684\u95ee\u9898\uff0c\u4e2a\u522b\u60c5\u51b5\u4e0b\u540c\u4e00\u91cc\u7a0b\uff0c\u4ece\u5de6\u5411\u53f3\u8ba1\u7b97\u7684\u6807\u9ad8\u4e0e\u4ece\u53f3\u5411\u5de6\u8ba1\u7b97\u7684\u6807\u9ad8\uff0c\u5728\u6beb\u7c73\u7cbe\u5ea6\u4e0a\u6709\u65f6\u4f1a\u7a0d\u6709\u4e0d\u540c\uff0c\u4e00\u822c\u95ee\u9898\u4e0d\u5927\u3002<\/p>\n<h3>\u7ad6\u66f2\u7ebf\u6bb5\u7684\u6807\u9ad8<\/h3>\n<p>\u7531\u4e8e\u94a2\u8f68\u5728\u7ebf\u8def\u62d0\u89d2\u65f6\u4e0d\u662f\u6309\u6298\u89d2\u7684\uff0c\u8981\u6709\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u8854\u63a5\u3002\u5178\u578b\u7684\u7ad6\u66f2\u7ebf\u8981\u7d20\u5c31\u662f\u53d8\u5761\u70b9\u91cc\u7a0b\uff0c\u7ad6\u66f2\u7ebf\u7684\u534a\u5f84\u53ca\u5207\u7ebf\u957f\u3002\u7ad6\u66f2\u7ebf\u4f4d\u7f6e\u7684\u6807\u9ad8\u8ba1\u7b97\u76f8\u5bf9\u6bd4\u8f83\u9ebb\u70e6\u4e9b\u3002\u4e00\u822c\u800c\u8a00\u4e3b\u8981\u8ba1\u7b97\u601d\u8def\u5c31\u662f\u6309\u76f4\u7ebf\u6bb5\u7684\u5761\u5ea6\u7684\u8ba1\u7b97\u51fa\u6765\u7684\u6807\u9ad8\u8003\u8651\u52a0\u4e0a\u6216\u51cf\u53bb\u7531\u4e8e\u7ad6\u66f2\u7ebf\u5e26\u6765\u7684\u504f\u5dee\u4fee\u6b63\u503c\uff08\u8fd9\u4e2a\u504f\u5dee\u5373\u5916\u77e9\u03b4\uff09\u5373\uff1a<br \/>\n<code class=\"mathjax-inline language-mathjax\">H=H_1+L\\times i+\\delta \\tag{2}<\/code><br \/>\n\u540e\u8fb9\u6211\u4eec\u4f1a\u6d89\u53ca\u53e6\u5916\u4e00\u79cd\u8ba1\u7b97\u65b9\u6cd5\uff0c\u5728\u7f16\u7a0b\u65f6\u6bd4\u8fd9\u4e2a\u66f4\u597d\u7528\u3002<\/p>\n<p>\u6211\u4eec\u5148\u5047\u8bbe\u4e00\u4e2a\u5706\u5f62\u7ad6\u66f2\u7ebf\uff0c\u4e24\u4fa7\u5206\u522b\u63a5\u5761\u5ea6\u4e3a<code class=\"mathjax-inline language-mathjax\">i_1<\/code> \u548c<code class=\"mathjax-inline language-mathjax\">i_2<\/code>\u7684\u76f4\u7ebf\uff0c\u8fde\u63a5\u4e24\u4e2a\u659c\u7ebf\u7684\u66f2\u7ebf\u516c\u5f0f\u4e3a\uff1a<br \/>\n<code class=\"mathjax-inline language-mathjax\">y=ax^2+bx+c\\tag{3}<\/code><br \/>\nx \u8f74\u662f\u6211\u4eec\u7684\u7ebf\u8def\u91cc\u7a0b\uff0cy \u8f74\u662f\u6211\u4eec\u7684\u8f68\u9762\u6807\u9ad8, \u66f2\u7ebf\u7684\u5207\u7ebf\u957f\u4e3a T\u3002\u66f2\u7ebf\u524d\u540e\u8854\u63a5\u7684\u4e24\u4e2a\u76f4\u7ebf\u4e3a\uff1a<br \/>\n<code class=\"mathjax-inline language-mathjax\">y_1=i_1x+c_1\\tag{4}<\/code><br \/>\n<code class=\"mathjax-inline language-mathjax\">y_2=i_2x+c_2\\tag{5}<\/code><br \/>\n\u5728\u6587\u7ae0<a href=\"https:\/\/zhuanlan.zhihu.com\/p\/564385658\">\u7ebf\u8def\u6700\u4f4e\u70b9\u8ba1\u7b97<\/a>\u4e2d\u6211\u4eec\u5df2\u7ecf\u8ba1\u7b97\u4e86\u66f2\u7ebf\u516c\u5f0f\u4e2d\u7684\u53c2\u6570\u3002\u5176\u4e2d:<code class=\"mathjax-inline language-mathjax\">\\begin{aligned}a = \\frac{i_2-i_1}{4T}\\\\b=i_1\\\\ c=-Ti_1\\end{aligned}\\tag{6}<\/code><br \/>\n\u7531\u4e8e\u7ad6\u66f2\u7ebf\u7684\u8d77\u70b9\u5750\u6807\u662f\u5373<code class=\"mathjax-inline language-mathjax\">(0,-Ti_1)<\/code>\uff0c\u7b2c\u4e00\u6761\u76f4\u7ebf\u4ea6\u8fc7\u6b64\u70b9\u5219\u53ef\u5f97:<br \/>\n<code class=\"mathjax-inline language-mathjax\">c_1=c=-Ti_1\\tag{7}<\/code><br \/>\n\u53c8\u7531\u4e8e\u7b2c\u4e8c\u6761\u76f4\u7ebf\u4e0e x \u8f74\u7684\u4ea4\u70b9\u4e3a<code class=\"mathjax-inline language-mathjax\">(T,0)<\/code>\u5219:<br \/>\n<code class=\"mathjax-inline language-mathjax\">c_2=-Ti_2\\tag{8}<\/code><br \/>\n\u6211\u4eec\u5148\u8ba1\u7b97\u4e0b\u540c\u4e00\u91cc\u7a0b\u5904\uff0c\u7b2c\u4e00\u4e2a\u76f4\u7ebf\u4e0e\u7ad6\u66f2\u7ebf\u95f4\u7684\u4fee\u6b63\u503c\u5927\u5c0f\uff1a<br \/>\n<code class=\"mathjax-inline language-mathjax\">\\delta=y-y_1=\\frac{i_2-i_1}{4T}x^2\\tag{9}<\/code><br \/>\n\u6211\u4eec\u5728<a href=\"https:\/\/zhuanlan.zhihu.com\/p\/564385658\">\u7ebf\u8def\u6700\u4f4e\u70b9\u8ba1\u7b97<\/a>\u4e2d\u5df2\u7ecf\u8bc1\u660e\u8fc7\u4e0b\u8ff0\u516c\u5f0f\uff1a<br \/>\n<code class=\"mathjax-inline language-mathjax\">R=\\frac{1}{|y''|}=|\\frac{2T}{i_1-i_2}|=\\frac{2T}{-i_1+i_2}\\tag{10}<\/code><br \/>\n\u6545:<br \/>\n<code class=\"mathjax-inline language-mathjax\">\\delta=\\frac{x^2}{2R}<\/code><br \/>\n\u5f53 x=T \u65f6\uff0c\u53ef\u4ee5\u5f97\u5230\u66f2\u7ebf\u7684\u5916\u77e2\u77e9\u4e3a<code class=\"mathjax-inline language-mathjax\">e=\\frac{T^2}{2R}<\/code>\uff0c\u8fd9\u4e2a\u53c2\u6570\u5728\u672c\u6587\u4e2d\u6ca1\u6709\u4ec0\u4e48\u7528\uff0c\u6211\u4e00\u822c\u7528\u4e8e\u8ba1\u7b97\u9a8c\u8bc1\u3002\u7531\u4e8e\u6211\u4eec\u8bbe\u7f6e\u7684\u5750\u6807\u7cfb\u91cc\u7a0b O \u70b9\u4f4d\u4e8e\u66f2\u7ebf\u5207\u7ebf\u8d77\u70b9\u4f4d\u7f6e\uff0c\u6545\u4e0a\u5f0f\u4e2d\u7684 x \u503c\u5e94\u8be5\u662f\u7b2c\u4e00\u6761\u7ebf\u66f2\u7ebf\u7684\u8d77\u70b9\u5f00\u59cb\u8ba1\uff0c<strong>\u8fd9\u4e00\u70b9\u5f88\u91cd\u8981<\/strong>\u3002<\/p>\n<p>\u5bf9\u4e8e\u7b2c\u4e8c\u6761\u66f2\u7ebf\u60c5\u51b5\u5e94\u8be5\u662f\u4e00\u6837\u7684\uff0c\u53ef\u4ee5\u76f4\u63a5\u4eff\u7167\u7b2c\u4e00\u7b2c\u7ebf\u7684\u7ed3\u679c\u76f4\u63a5\u5957\u7b2c\u4e8c\u6761\u7ebf\uff0c\u4f46\u8fd9\u5e76\u4e0d\u59a8\u788d\u6211\u4eec\u518d\u6b21\u901a\u8fc7\u5bf9\u7b2c\u4e8c\u6761\u76f4\u7ebf\u7684\u4fee\u6b63\u503c\u7684\u8ba1\u7b97\u6765\u8fdb\u884c\u8bc1\u660e\u8fd9\u4e2a\u7ed3\u8bba\uff1a<br \/>\n<code class=\"mathjax-inline language-mathjax\">\\begin{align} \\delta &= y - y_2 \\\\ &= \\frac{i_2 - i_1}{4T} x^2 + i_1 x - Ti_1 - (i_2 x - i_2 T) \\\\ &= \\frac{x^2}{2R} + x(i_1 - i_2) + T(i_2 - i_1) \\\\ &= \\frac{x^2}{2R} - \\frac{2T}{R} x + \\frac{2T^2}{R} \\\\ &= \\frac{x^2 - 4Tx + 4T^2}{2R} \\\\ &= \\frac{(x - 2T)^2}{2R} \\end{align}\\\\ \\tag{12}<\/code><br \/>\n\u7531\u4e8e\u7ad6\u66f2\u7ebf\u7684\u7ec8\u70b9\u91cc\u7a0b\u4e3a 2T\uff0c\u6545\u6309\u7b2c\u4e8c\u4e2a\u66f2\u7ebf\u8ba1\u7b97\u4fee\u6b63\u503c\u65f6\u4ea6\u662f\u6309\u8ba1\u7b97\u4f4d\u7f6e\u4e0e\u66f2\u7ebf\u7ec8\u70b9\u7684\u91cc\u7a0b\u5dee\u9664\u4ee5 2R \u5f97\u5230\u3002<\/p>\n<p>\u7efc\u4e0a\uff0c\u8fd9\u6837\u5c31\u5f97\u5230\u4e86\u7ebf\u8def\u7eb5\u65ad\u9762\u7684\u8ba1\u7b97\u539f\u7406\u3002<\/p>\n<h2>Python \u7a0b\u5e8f\u7f16\u5236<\/h2>\n<h3>\u603b\u4f53\u601d\u8def<\/h3>\n<p>\u5728 vscode \u4e2d\u6253\u5f00\u7a0b\u5e8f\uff0c\u8fd0\u884c\u3002\u6253\u5f00\u8981\u8ba1\u7b97\u7684\u91cc\u7a0b\u8868\uff0c\u5148\u62e9\u7ebf\u8def\u7eb5\u65ad\u9762\u6570\u636e\u3002\u7a0b\u5e8f\u9009\u62e9\u4e00\u4e2a\u91cc\u7a0b\u5224\u65ad\u662f\u5426\u5728\u7ad6\u66f2\u7ebf\u4e0a\uff0c\u5982\u679c\u5728\u7ad6\u66f2\u7ebf\u4e0a\u6267\u884c\u7ad6\u66f2\u7ebf\u6807\u9ad8\u8ba1\u7b97\u7a0b\u5e8f\uff0c\u5982\u679c\u5728\u76f4\u7ebf\u6bb5\u5219\u6267\u884c\u76f4\u7ebf\u6bb5\u7684\u6807\u9ad8\u8ba1\u7b97\u7a0b\u5e8f\u3002\u628a\u7ed3\u679c\u5199\u5165\u8868\u683c\u3002\u518d\u9009\u62e9\u4e0b\u4e00\u4e2a\u91cc\u7a0b\u8fdb\u884c\u4e0a\u8ff0\u8ba1\u7b97\uff0c\u76f4\u81f3\u8ba1\u7b97\u5b8c\u6bd5\u3002<\/p>\n<h3>\u5b9e\u73b0\u8fc7\u7a0b<\/h3>\n<h3>\u7ad6\u66f2\u7ebf\u5730\u6bb5\u6807\u9ad8\u8ba1\u7b97\u51fd\u6570<\/h3>\n<p>\u9996\u5148\u6211\u4eec\u6765\u5b9e\u73b0\u7b2c\u4e00\u4e2a\u57fa\u672c\u51fd\u6570\u2014\u2014\u7ad6\u66f2\u7ebf\u5730\u6bb5\u7684\u6807\u9ad8\u8ba1\u7b97\u3002\u8fd9\u4e2a\u51fd\u6570\u6709\u4e24\u79cd\u5b9e\u73b0\u65b9\u6cd5\uff1a<\/p>\n<ul>\n<li>\u7b2c\u4e00\u79cd\u5c31\u662f\u6211\u4eec\u6309\u672c\u7ae0\u516c\u5f0f\uff082\uff09\u7684\u65b9\u5f0f\uff0c\u5c31\u662f\u901a\u8fc7\u5148\u8ba1\u7b97\u7ebf\u6027\u5761\u5ea6\u7684\u6807\u9ad8\u518d\u901a\u8fc7\u4fee\u6b63\u503c\u8fdb\u884c\u4fee\u6b63\u3002\u8fd9\u79cd\u65b9\u6cd5\u66f4\u9002\u5408\u624b\u7b97\uff0c\u56e0\u4e3a\u5176\u4e2d\u6709\u5f88\u591a\u5de5\u51b5\u3001\u524d\u63d0\u6761\u4ef6\u7b49\u7b49\uff0c\u6211\u4eec\u901a\u8fc7\u8111\u888b\u5df2\u7ecf\u81ea\u52a8\u5904\u7406\u4e86\uff0c\u540c\u65f6\u8ba1\u7b97\u516c\u5f0f\u4e5f\u66f4\u5bb9\u6613\u8bb0\u5fc6\u3002<\/li>\n<li>\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u662f\u6211\u4eec\u76f4\u63a5\u5f15\u7528\u7ad6\u66f2\u7ebf\u7684\u516c\u5f0f\uff0c\u5373\u516c\u5f0f\uff086\uff09\u8ba1\u7b97\u51fa\u6807\u9ad8\u540e\u518d\u901a\u8fc7\u53d8\u5761\u70b9\u7684\u6807\u9ad8\u6765\u4fee\u6b63\u3002\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u66f4\u9002\u5408\u7f16\u7a0b\uff0c\u867d\u7136\u53c2\u6570\u76f8\u5bf9\u590d\u6742\u4f46\u5bf9\u4e8e\u7f16\u7a0b\u6765\u8bf4\u4e0d\u662f\u95ee\u9898\u3002<\/li>\n<\/ul>\n<p>\u867d\u7136\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u66f4\u7b80\u5355\u3002\u4f46\u662f\u4e3a\u4e86\u5c55\u793a\u4e24\u79cd\u65b9\u6cd5\u7684\u4e0d\u540c\uff0c\u6211\u4eec\u4e24\u79cd\u65b9\u6cd5\u90fd\u8bd5\u4e0b\u3002<\/p>\n<p><strong>\u65b9\u6cd5\u4e00\u3001\u6309\u76f4\u7ebf\u5761\u5ea6\u8ba1\u7b97\u540e\u518d\u4fee\u6b63<\/strong><\/p>\n<p>\u89c2\u5bdf\u516c\u5f0f\uff082\uff09\uff0c\u5f53\u6240\u8ba1\u7b97\u7684\u91cc\u7a0b\u5c0f\u4e8e\u53d8\u5761\u70b9\u91cc\u7a0b\u65f6\uff0c\u5761\u5ea6\u503c\u9700\u8981\u7528 <code class=\"mathjax-inline language-mathjax\">i_1<\/code>\uff0c\u5f53\u8ba1\u7b97\u91cc\u7a0b\u5927\u4e8e\u53d8\u5761\u70b9\u91cc\u7a0b\u65f6\uff0c\u5761\u5ea6\u5c31\u9700\u8981\u7528 <code class=\"mathjax-inline language-mathjax\">i_2<\/code>, \u56e0\u6b64\u5c31\u9700\u8981\u5206\u60c5\u51b5\u8ba8\u8bba\u3002\u4f46\u6b64\u65f6\u8fd8\u6ca1\u6709\u5b8c\u3002\u6bcf\u4e00\u79cd\u60c5\u51b5\u4e0b\u8fd8\u5f97\u518d\u5206\u4e24\u79cd\u60c5\u51b5\uff1a<\/p>\n<p>\u7b2c\u4e00\u79cd\uff1a\u5f53<code class=\"mathjax-inline language-mathjax\">i_2-i_1>0<\/code>\u65f6\uff0c\u5982\u4e0b\u56fe\u4e24\u79cd\u60c5\u51b5\u6240\u793a\u3002\u6b64\u65f6\u56fe\u5f62\u662f\u4e0a\u51f9\u7684\uff0c\u5373\u7ad6\u66f2\u7ebf\u5728\u5207\u7ebf\u7684\u4e0a\u65b9\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic4.zhimg.com\/v2-867713c59a7624f557b3c474ac677c0b_b.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic4.zhimg.com\/v2-867713c59a7624f557b3c474ac677c0b_b.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/p>\n<p>\u7b2c\u4e8c\u79cd\uff1a<code class=\"mathjax-inline language-mathjax\">i_2-i_1<0<\/code>\u65f6\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u6b64\u65f6\u56fe\u5f62\u65f6\u4e0b\u51f9\u7684\u3002\u5373\u7ad6\u66f2\u7ebf\u5728\u5207\u7ebf\u7684\u4e0b\u65b9\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/pic4.zhimg.com\/v2-57843226c7f9ac94d130f57c6e37f86f_b.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/pic4.zhimg.com\/v2-57843226c7f9ac94d130f57c6e37f86f_b.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/p>\n<p>\u4e8e\u662f\u6211\u4eec\u5728\u51fd\u6570\u4e2d\u4e5f\u9700\u8981\u6309\u56db\u79cd\u60c5\u51b5\u8fdb\u884c\u8ba1\u7b97\uff1a\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n<pre><code>def bian(x,y):  #\u53c2\u6570x\u662f\u8981\u8ba1\u7b97\u7684\u91cc\u7a0b\uff0cy\u662f\u6211\u4eec\u7684\u57fa\u7840\u53c2\u6570\n    t=x[0];b=x[1];r=x[2] #t\u662f\u5207\u7ebf\u957f\uff0cb\u662f\u53d8\u5761\u70b9\u91cc\u7a0b\uff0cr\u662f\u7ad6\u66f2\u7ebf\u5f84  \n    i1=x[3];i2=x[4];gao=x[5] #i1\u662f\u524d\u5761\u957f\uff0ci2\u662f\u540e\u5761\u957f\uff0cgao\u662f\u53d8\u5761\u70b9\u7ebf\u8def\u6807\u9ad8\n    i1=i1\/1000   #\u5c06\u5761\u5ea6\u8f6c\u6362\u4e3a\n    i2=i2\/1000\n    s=b-t          #\u8ba1\u7b97\u7ad6\u66f2\u7ebf\u8d77\u59cb\u91cc\u7a0b\n    e=b+t          #\u8ba1\u7b97\u7ad6\u66f2\u7ebf\u7ec8\u70b9\u91cc\u7a0b\n    if s&lt;=y and y&lt;=e:   \n        pass\n    else:\n        print(&#039;\u68c0\u67e5\u8f93\u5165\u7684\u91cc\u7a0b&#039;)\n        raise Exception(&quot;\u91cc\u7a0b\u8d85\u51fa.&quot;)\n    if y&lt;b:    #\u7b2c\u4e00\u79cd\u60c5\u51b5\uff1a\u8ba1\u7b97\u91cc\u7a0b\u5c0f\u4e8e\u53d8\u5761\u70b9\u91cc\u7a0b\n        if (i2-i1&gt;0):  #\u66f2\u7ebf\u662f\u4e0a\u51f9\u7684\n            aq=gao-i1*(b-y)+(y-s)**2\/2\/r\n        else:           #\u66f2\u7ebf\u662f\u4e0b\u51f9\u7684\n            aq=gao-i1*(b-y)-(y-s)**2\/2\/r\n    else:    #\u7b2c\u4e8c\u79cd\u60c5\u51b5\uff1a\u8ba1\u7b97\u91cc\u7a0b\u5927\u4e8e\u53d8\u5761\u70b9\u91cc\u7a0b\n        if (i2-i1&gt;0): #\u66f2\u7ebf\u662f\u4e0a\u51f9\u7684\n            aq=gao+i2*(y-b)+(e-y)**2\/2\/r\n        else:          #\u66f2\u7ebf\u662f\u4e0b\u51f9\u7684\n            aq=gao+i2*(y-b)-(e-y)**2\/2\/r\n    aq=round(aq,3)\n    return aq\n<\/code><\/pre>\n<p>\u53ef\u4ee5\u770b\u51fa\u7b2c\u4e00\u79cd\u60c5\u51b5\u662f\u6bd4\u8f83\u9ebb\u70e6\u7684\u3002\u4f46\u662f\u8fd9\u79cd\u65b9\u6cd5\u5728\u624b\u7b97\u65f6\u76f8\u5f53\u53cb\u597d\u3002\u6211\u6700\u521d\u7f16\u7a0b\u65f6\u5c31\u662f\u56e0\u4e3a\u4e60\u60ef\u800c\u91c7\u7528\u4e86\u8be5\u79cd\u65b9\u6cd5\uff0c\u5728\u5199\u8fd9\u7bc7\u6587\u7ae0\u7684\u65f6\u5019\uff0c\u6211\u6539\u4e3a\u4e86\u7b2c\u4e8c\u79cd\u65b9\u6cd5\u3002<\/p>\n<p><strong>\u65b9\u6cd5\u4e8c\u3001\u91c7\u7528\u7ad6\u66f2\u7ebf\u516c\u5f0f\u518d\u4fee\u6b63<\/strong><\/p>\n<p>\u8fd9\u79cd\u6cd5\u76f8\u5bf9\u800c\u8a00\u8981\u7b80\u5355\u7684\u591a\u3002\u6211\u4eec\u53ea\u9700\u8981\u628a\u516c\u5f0f\uff086\uff09\u4ee3\u5165\u7ad6\u66f2\u7ebf\u4e2d\uff0c\u518d\u52a0\u4e0a\u53d8\u5761\u70b9\u7684\u6807\u9ad8\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n<pre><code>def bian(x,y): #\u4e0e\u65b9\u6cd5\u4e00\u6837\u7684\u51fd\u6570\n    t=x[0];b=x[1];i1=x[2];i2=x[3];gao=x[4]\n    i1=i1\/1000   #\u5c06\u5761\u5ea6\u8f6c\u6362\n    i2=i2\/1000\n    s=b-t          #\u8ba1\u7b97\u8d77\u59cb\u91cc\u7a0b\n    e=b+t          #\u8ba1\u7b97\u7ec8\u70b9\u91cc\u7a0b\n    if s&lt;=y and y&lt;=e:\n        pass\n    else:\n        print(&#039;\u68c0\u67e5\u8f93\u5165\u7684\u91cc\u7a0b&#039;)\n        raise Exception(&quot;\u91cc\u7a0b\u8d85\u51fa.&quot;)#\u8fd9\u4e4b\u524d\u90fd\u4e0e\u65b9\u6cd5\u4e00\u662f\u4e00\u6837\u3002\n    aa=(i2-i1)\/4\/t\n    bb=i1\n    cc=-t*i1\n    aq=gao+aa*(y-s)**2+bb*(y-s)+cc\n    return aq\n<\/code><\/pre>\n<p>\u53e6\u5916\u6211\u4eec\u4e5f\u53ef\u4ee5\u770b\u51fa\u65b9\u6cd5\u4e8c\u4e2d\u9700\u8981\u8f93\u5165\u7684\u53c2\u6570\u662f\u6ca1\u6709 R \u7684\u3002\u56e0\u4e3a R \u662f\u53ef\u4ee5\u8ba1\u7b97\u6765\u7684\uff0c\u6240\u4ee5\u4e5f\u5c31\u6ca1\u6709\u5fc5\u8981\u518d\u8f93\u5165\u4e86\u3002\u540e\u7eed\u6211\u4eec\u76f4\u63a5\u91c7\u7528\u7b2c\u4e8c\u65b9\u6cd5\u8ba1\u7b97\u3002<\/p>\n<h3>\u8003\u8651\u65ad\u94fe\u7684\u7ebf\u8def\u957f\u5ea6\u8ba1\u7b97\u51fd\u6570<\/h3>\n<p>\u7b2c\u4e8c\u4e2a\u6bd4\u8f83\u91cd\u8981\u7684\u51fd\u6570\u5c31\u662f\u8003\u8651\u65ad\u94fe\u7684\u4e24\u4e2a\u91cc\u7a0b\u95f4\u7684\u957f\u5ea6\u3002\u8fd9\u4e2a\u51fd\u6570\u4e3b\u8981\u5e94\u7528\u4e8e\u8ba1\u7b97\u76f4\u7ebf\u6bb5\u6807\u9ad8\u65f6\uff0c\u8ba1\u7b97\u91cc\u7a0b\u4e0e\u8d77\u59cb\u91cc\u7a0b\u95f4\u7684\u771f\u5b9e\u957f\u5ea6\u3002\u548c\u7ebf\u8def\u4e13\u4e1a\u6c9f\u901a\u540e\uff0c\u65ad\u94fe\u4e00\u822c\u4e0d\u4f1a\u8bbe\u7f6e\u5728\u7ad6\u66f2\u7ebf\u4e0a\u3002\u76ee\u524d\u4e3a\u6b62\u6211\u4e5f\u7684\u786e\u6ca1\u6709\u9047\u5230\u8fc7\u3002\u6545\u8fd9\u79cd\u60c5\u51b5\u4e0d\u518d\u8ba8\u8bba\u3002<\/p>\n<pre><code>def changdu(qujian,biao):  #\u8f93\u5165\u7684\u662f\u4e00\u4e2a\u91cc\u7a0b\u533a\u95f4qujian\u548c\u4e00\u4e2a\u65ad\u94fe\u8868biao\n    length=len(biao) #\u65ad\u94fe\u8868\u7684\u957f\u5ea6\n\n    zong=qujian.sup-qujian.inf # \u533a\u95f4\u7684\u4e0a\u9650\u51cf\u53bb\u4e0b\u9650\uff0c\u5f97\u5230\u533a\u95f4\u7684\u540d\u4e49\u957f\u5ea6\n\n    for i in range(0,length-1): #\u5bf9\u65ad\u94fe\u8868\u4e2d\u7684\u6bcf\u4e00\u884c\u8fdb\u884c\u5224\u65ad\uff0c\u770b\u4ed6\u662f\u5426\u5728\u8ba1\u7b97\u533a\u95f4\u4e2d\u3002\u82e5\u5728\uff0c\u90a3\u5e94\u8be5\u628a\u65ad\u94fe\u503c\u52a0\u5230\u533a\u95f4\u957f\u5ea6\u4e2d\u3002\n\n        if biao[i,0] in qujian:\n\n            zong=zong+biao[i,2]        \n\n    return zong\n<\/code><\/pre>\n<p>\u4f46\u662f\u9700\u8981\u8bf4\u660e\u7684\u4e00\u70b9\u662f\u7531\u4e8e\u7ebf\u8def\u91cc\u7a0b\u4e2d\u5b58\u5728\u65ad\u94fe\uff0c\u77ed\u94fe\u4e00\u822c\u4e0d\u5f71\u54cd\uff0c\u4f46\u662f\u5bf9\u4e8e\u957f\u94fe\uff0c\u8bf4\u660e\u4e00\u4e2a\u7ebf\u8def\u4e2d\u5b58\u5728\u4e00\u6bb5\u91cc\u7a0b\u540c\u65f6\u51fa\u73b0\u4e86\u4e24\u6b21\uff0c\u7a0b\u5e8f\u4e0d\u80fd\u4ec5\u9760\u91cc\u7a0b\u503c\u5224\u65ad\uff0c\u8fd9\u4e2a\u503c\u662f\u7b2c\u4e00\u4e2a\u91cc\u7a0b\u8fd8\u662f\u7b2c\u4e8c\u4e2a\u91cc\u7a0b\u3002\u9ed8\u8ba4\u4e3a\u7b2c\u4e00\u4e2a\u91cc\u7a0b\u3002<\/p>\n<h3>\u76f4\u7ebf\u6bb5\u7684\u7ebf\u8def\u6807\u9ad8\u51fd\u6570<\/h3>\n<p>\u76f4\u7ebf\u6bb5\u7684\u8f68\u9762\u6807\u9ad8\u8ba1\u7b97\u5f88\u7b80\u5355\uff0c\u6309\u516c\u5f0f\uff081\uff09\u5373\u53ef\u3002<\/p>\n<pre><code>def zhi(qig,i,chang): #\u8f93\u5165\u8d77\u70b9\u6807\u9ad8qig,\u5761\u5ea6i,\u8ddd\u79bbchang\n\n    gao=qig+i\/1000*chang\n\n    return gao\n<\/code><\/pre>\n<h3>\u603b\u6807\u9ad8\u8ba1\u7b97\u51fd\u6570<\/h3>\n<p>\u63a5\u4e0b\u6765\u6211\u4eec\u628a\u4e0a\u8fb9\u4e09\u4e2a\u51fd\u6570\u6c47\u603b\u5230\u4e00\u8d77\uff0c\u5b9a\u4e49\u4e00\u4e2a\u603b\u7684\u8ba1\u7b97\u6807\u9ad8\u7684\u51fd\u6570\u3002\u603b\u4f53\u601d\u8def\u662f\uff0c\u7ed9\u5b9a\u4e00\u4e2a\u91cc\u7a0b\uff0c\u67e5\u770b\u4ed6\u662f\u5426\u5728\u7ad6\u7ebf\u7ebf\u8303\u56f4\uff0c\u5982\u679c\u662f\uff0c\u5219\u6267\u884c\u7ad6\u66f2\u7ebf\u6807\u9ad8\u8ba1\u7b97\u51fd\u6570\uff0c\u5982\u679c\u4e0d\u662f\uff0c\u6838\u5b9e\u91cc\u7a0b\u5728\u54ea\u4e2a\u76f4\u7ebf\u6bb5\uff0c\u518d\u6267\u884c\u76f4\u7ebf\u6bb5\u7684\u6807\u9ad8\u8ba1\u7b97\u516c\u5f0f\u3002<\/p>\n<pre><code>#\u6bcf\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u8d77\u7ec8\u70b9\u751f\u6210\u4e00\u4e2a\u533a\u95f4\uff0c\u518d\u628a\u524d\u540e\u7ad6\u66f2\u7ebf\u7684\u53d8\u5761\u70b9\u91cc\u7a0b\u751f\u6210\u533a\u95f4\u3002\n\ndef biaogao(licheng,npd,ndl):  #\u8bbe\u7f6e\u4e00\u4e2a\u51fd\u6570\uff0c\u9700\u8981\u8f93\u5165\u91cc\u7a0b\u503c\u548c\u6570\u636e\u6e90numpy array\n\n    chang=len(npd) #\u5761\u5ea6\u8868\u7684\u884c\u6570\n\n    # \u8ba1\u7b97\u7ad6\u7ebf\u66f2\u7ebf\u6807\u9ad8\n\n    for i in range(0,chang):\n\n        gao=npd[i,0];b=npd[i,1];t=npd[i,2];i1=npd[i,3];i2=npd[i,4]\n\n        st=b-t  #\u7ad6\u66f2\u7ebf\u7684\u8d77\u70b9\u91cc\u7a0b\n\n        ed=b+t  #\u7ad6\u66f2\u7ebf\u7684\u7ec8\u70b9\u91cc\u7a0b\n\n        a=Interval(st,ed)  #\u6bcf\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u8d77\u7ec8\u70b9\u751f\u6210\u4e00\u4e2a\u533a\u95f4\n\n        if licheng in a:  #\u5982\u679c\u8981\u5224\u65ad\u7684\u91cc\u7a0b\u5728\u8fd9\u4e2a\u7ad6\u66f2\u7ebf\u7684\u66f2\u95f4\n\n            x=[gao,b,t,i1,i2]\n\n            return bian(x,licheng)\n\n    #\u8ba1\u7b97\u76f4\u7ebf\u6807\u9ad8\n\n    for j in range(0,chang-1):\n\n        t1=npd[j,2] #\u7b2c\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u5207\u7ebf\u957f\n\n        t2=npd[j+1,2] #\u7b2c\u4e8c\u4e2a\u7ad6\u66f2\u7ebf\u7684\u5207\u7ebf\u957f\n\n        b1=npd[j,1] #\u7b2c\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u53d8\u5761\u70b9\n\n        b2=npd[j+1,1] #\u7b2c\u4e8c\u4e2a\u7ad6\u66f2\u7ebf\u7684\u53d8\u5761\u70b9\n\n        st=b1+t1  #\u7b2c\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u7ec8\u70b9\n\n        ed=b2-t2  #\u7b2c\u4e8c\u4e2a\u7ad6\u7ebf\u7684\u8d77\u70b9\n\n        a=Interval(st,ed)  #\u4e24\u4e2a\u7ad6\u66f2\u7ebf\u4e4b\u95f4\u7684\u76f4\u7ebf\u751f\u6210\u4e00\u4e2a\u533a\u95f4\n\n        if licheng in a:   #\u5224\u65ad\u91cc\u7a0b\u662f\u5426\u5728\u76f4\u7ebf\u4e0a\n\n            jisuan=Interval(b1,licheng) #\u5728\u7b2c\u4e00\u4e2a\u53d8\u5761\u70b9\u91cc\u7a0b\u548c\u8ba1\u7b97\u91cc\u7a0b\u4e4b\u95f4\u5f62\u6210\u4e00\u4e2a\u8ba1\u7b97\u533a\u95f4\u3002\n\n            ch=changdu(jisuan,ndl)     #\u8ba1\u7b97\u91cc\u7a0b\u4e0e\u7b2c\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u53d8\u5761\u70b9\u7684\u5b9e\u9645\u957f\u5ea6\u3002\n\n            jieguo=zhi(npd[j,0],npd[j,4],ch) #\u76f4\u7ebf\u6bb5\u7684\u6807\u9ad8\u8ba1\u7b97\n\n            return jieguo\n<\/code><\/pre>\n<h3>Excel \u8ba1\u7b97<\/h3>\n<p>\u9996\u5148\u6211\u4eec\u628a\u9700\u8981\u8ba1\u7b97\u7684\u57fa\u7840\u6570\u636e\u8f93\u5165\u8868\u683c\u4e2d\u3002\u6211\u4eec\u4ee5\u67d0\u57ce\u5e02\u5730\u94c1\u4e00\u4e2a\u533a\u95f4\u7684\u7ebf\u8def\u7eb5\u65ad\u9762\u4f5c\u4e3a\u8f93\u5165\uff0c\u5982\u4e0b\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='\/wp-content\/uploads\/2023\/12\/post-149-6584056d18d5a.'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"\/wp-content\/uploads\/2023\/12\/post-149-6584056d18d5a.\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/p>\n<p>\u65ad\u94fe\u8868\uff0c\u6211\u4eec\u4e5f\u9700\u8981\u8f93\u5165\uff1a<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='\/wp-content\/uploads\/2023\/12\/post-149-6584056e5d085.'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"\/wp-content\/uploads\/2023\/12\/post-149-6584056e5d085.\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/p>\n<p>\u53e6\u5916\u6211\u4eec\u628a\u9700\u8981\u628a\u8ba1\u7b97\u7684\u91cc\u7a0b\u653e\u5230\u4e00\u4e2a\u65b0\u7684 EXCEL \u4e2d\uff0c\u4e0d\u653e\u4e5f\u53ef\u4ee5\uff0c\u4e3a\u4e86\u7a0b\u5e8f\u6267\u884c\u7684\u6807\u51c6\u5316\uff0c\u6211\u4eec\u628a\u8fd8\u662f\u653e\u5230\u4e00\u4e2a\u65b0\u7684 EXCEL \u4e2d\u6bd4\u8f83\u597d\u3002<\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='\/wp-content\/uploads\/2023\/12\/post-149-6584056fc4bb6.'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"\/wp-content\/uploads\/2023\/12\/post-149-6584056fc4bb6.\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/p>\n<p>\u63a5\u4e0b\u6765\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba1\u7b97\u4e86\u3002<\/p>\n<pre><code>app=xw.apps.active #\u83b7\u53d6\u5f53\u524d\u6d3b\u52a8\u7684excel\u8fdb\u7a0b\n\nwb = app.books.active #\u83b7\u53d6\u5f53\u524d\u6d3b\u52a8\u7684\u8868\u683c\n\ndatasht=wb.sheets[0] #\u83b7\u53d6\u7b2c\u4e00\u4e2asheet\uff0c\u4e5f\u5c31\u662f\u9700\u8981\u8ba1\u7b97\u7684\u91cc\u7a0b\u8868\u3002\n\nshu=len(datasht.range(&#039;A1&#039;).expand(mode=&#039;down&#039;)) #\u9700\u8981\u6c42\u89e3\u7684\u91cc\u7a0b\u6570\u91cf\n\nfor i in range(0,shu):\n\n    datasht[i+1,1].value=biaogao(datasht[i+1,0].value,npd)\n<\/code><\/pre>\n<h3>\u7ed3\u679c\u5c55\u793a<\/h3>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='\/wp-content\/uploads\/2023\/12\/post-149-65840570a1eb5.'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"\/wp-content\/uploads\/2023\/12\/post-149-65840570a1eb5.\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/p>\n<p>\u8ba1\u7b97\u7ed3\u679c\u4e0e\u94fa\u8f68\u5355\u4f4d\u7684\u8ba1\u7b97\u5de5\u5177\u5728\u6beb\u7c73\u7ea7\u662f\u4e00\u6837\u7684\uff0c\u8bf4\u660e\u8be5\u7a0b\u5e8f\u662f\u6709\u6548\u3001\u53ef\u7528\u3001\u4fbf\u6377\u7684\u3002<\/p>\n<h3>\u4ee3\u7801\u6c47\u603b<\/h3>\n<pre><code>from sympy import Interval\nimport os\nimport numpy as np  \nimport pandas as pd\nimport xlwings as xw\nimport tkinter as tk\nfrom tkinter import filedialog\n\n#-------------------------------------------------\n\nlujing=os.getcwd()\n\nrt=tk.Tk()\n\nrt.withdraw()\n\nfile_path=filedialog.askopenfilename(title=&quot;\u8bf7\u9009\u62e9\u8f93\u5165\u8d44\u6599\uff1a&quot;,\n\n                                    initialdir=lujing,\n\n                                    filetypes = ((&quot;xlsx files&quot;,&quot;*.xlsx&quot;),))\n\nnlj=os.path.dirname(file_path)\nos.chdir(nlj)\npdb=pd.read_excel(file_path,&#039;\u5761\u5ea6\u8868&#039;) #\u5f97\u5230\u5761\u5ea6\u8868\ndlb=pd.read_excel(file_path,&#039;\u65ad\u94fe\u8868&#039;) #\u5f97\u5230\u65ad\u94fe\u8868\n\n#\u4e3a\u4e86\u65b9\u4fbf\u64cd\u4f5c\u5c06DataFrame\u8f6c\u6362\u4e3anumpy\n\nnpd=np.array(pdb)\nndl=np.array(dlb)\n\n#-------------------------------------------------------------\n\n#\u5b9a\u4e49\u4e86\u4e00\u4e2a\u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u6bcf\u4e2a\u53d8\u5761\u70b9\u9644\u8fd1\u66f2\u7ebf\u8303\u56f4\u5185\u7684\u7ebf\u8def\u6807\u9ad8\n#s\u5373\u8d77\u59cb\u91cc\u7a0bstart\uff1be\u4e3a\u7ec8\u70b9\u91cc\u7a0bend\uff1bb\u4e3a\u8fb9\u5761\u70b9\u91cc\u7a0b;t\u662f\u5207\u7ebf\u957f\uff1br\u4e3a\u534a\u5f84radius;\n#i1\u5373\u524d\u5761\u5ea6,i2\u5373\u540e\u5761\u5ea6,gao\u4e3a\u8fb9\u5761\u70b9\u7684\u9ad8\u7a0b\u3002\n\ndef bian(x,y): #\u7ad6\u66f2\u7ebf\u6807\u9ad8\u8ba1\u7b97\u51fd\u6570\n    gao=x[0];b=x[1];t=x[2];i1=x[3];i2=x[4]\n    i1=i1\/1000  #\u5c06\u5761\u5ea6\u8f6c\u6362\n    i2=i2\/1000\n    s=b-t #\u8ba1\u7b97\u8d77\u59cb\u91cc\u7a0b\n    e=b+t #\u8ba1\u7b97\u7ec8\u70b9\u91cc\u7a0b\n    if s&lt;=y and y&lt;=e:\n        pass\n    else:\n        print(&#039;\u68c0\u67e5\u8f93\u5165\u7684\u91cc\u7a0b&#039;)\n        raise Exception(&quot;\u91cc\u7a0b\u8d85\u51fa.&quot;)\n    aa=(i2-i1)\/4\/t\n    bb=i1\n    cc=-t*i1\n    aq=gao+aa*(y-s)**2+bb*(y-s)+cc\n    return aq\n#---------------------------------------------------------\n#\u5b9a\u4e49\u4e00\u4e2a\u65b9\u51fd\u6570\u7528\u6765\u8ba1\u7b97\u4e24\u4e2a\u91cc\u7a0b\u4e4b\u95f4\u8003\u8651\u65ad\u94fe\u540e\u7684\u5b9e\u9645\u957f\u5ea6\u3002\ndef changdu(qujian,biao):  #\u8f93\u5165\u7684\u662f\u4e00\u4e2a\u91cc\u7a0b\u533a\u95f4qujian\u548c\u4e00\u4e2a\u65ad\u94fe\u8868biao\uff08array\uff09\n    length=len(biao)\n    zong=qujian.sup-qujian.inf\n    for i in range(0,length-1):\n        if biao[i,0] in qujian:\n            zong=zong+biao[i,2]        \n    return zong\n#-------------------------------------------------------\n\n#\u76f4\u7ebf\u6bb5\u7684\u6807\u9ad8\u8ba1\u7b97\u51fd\u6570\ndef zhi(qig,i,chang): #\u8f93\u5165\u8d77\u70b9\u6807\u9ad8qig,\u5761\u5ea6i,\u8ddd\u79bbchang\n    gao=qig+i\/1000*chang\n    return gao\n#------------------------------------------------------  \n#\u6bcf\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u8d77\u7ec8\u70b9\u751f\u6210\u4e00\u4e2a\u533a\u95f4\uff0c\u518d\u628a\u524d\u540e\u7ad6\u66f2\u7ebf\u7684\u53d8\u5761\u70b9\u91cc\u7a0b\u751f\u6210\u533a\u95f4\u3002\ndef biaogao(licheng,npd,ndl):  #\u8bbe\u7f6e\u4e00\u4e2a\u51fd\u6570\uff0c\u9700\u8981\u8f93\u5165\u91cc\u7a0b\u503c\u548c\u6570\u636e\u6e90numpy array\n    chang=len(npd) #\u5761\u5ea6\u8868\u7684\u884c\u6570\n    # \u8ba1\u7b97\u7ad6\u7ebf\u66f2\u7ebf\u6807\u9ad8\n    for i in range(0,chang):\n        gao=npd[i,0];b=npd[i,1];t=npd[i,2];i1=npd[i,3];i2=npd[i,4]\n        st=b-t  #\u7ad6\u66f2\u7ebf\u7684\u8d77\u70b9\u91cc\u7a0b\n        ed=b+t  #\u7ad6\u66f2\u7ebf\u7684\u7ec8\u70b9\u91cc\u7a0b\n        a=Interval(st,ed)  #\u6bcf\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u8d77\u7ec8\u70b9\u751f\u6210\u4e00\u4e2a\u533a\u95f4\n        if licheng in a:  #\u5982\u679c\u8981\u5224\u65ad\u7684\u91cc\u7a0b\u5728\u8fd9\u4e2a\u7ad6\u66f2\u7ebf\u7684\u66f2\u95f4\n            x=[gao,b,t,i1,i2]\n            return bian(x,licheng)\n    #\u8ba1\u7b97\u76f4\u7ebf\u6807\u9ad8\n    for j in range(0,chang-1):\n        t1=npd[j,2] #\u7b2c\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u5207\u7ebf\u957f\n        t2=npd[j+1,2] #\u7b2c\u4e8c\u4e2a\u7ad6\u66f2\u7ebf\u7684\u5207\u7ebf\u957f\n        b1=npd[j,1] #\u7b2c\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u53d8\u5761\u70b9\n        b2=npd[j+1,1] #\u7b2c\u4e8c\u4e2a\u7ad6\u66f2\u7ebf\u7684\u53d8\u5761\u70b9\n        st=b1+t1  #\u7b2c\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u7684\u7ec8\u70b9\n        ed=b2-t2  #\u7b2c\u4e8c\u4e2a\u7ad6\u7ebf\u7684\u8d77\u70b9\n        a=Interval(st,ed)  #\u4e24\u4e2a\u7ad6\u66f2\u7ebf\u4e4b\u95f4\u7684\u76f4\u7ebf\u751f\u6210\u4e00\u4e2a\u533a\u95f4\n        if licheng in a:   #\u5224\u65ad\u91cc\u7a0b\u662f\u5426\u5728\u76f4\u7ebf\u4e0a\n            jisuan=Interval(b1,licheng) #\u5728\u7b2c\u4e00\u4e2a\u53d8\u5761\u70b9\u91cc\u7a0b\u548c\u8ba1\u7b97\u91cc\u7a0b\u4e4b\u95f4\u5f62\u6210\u4e00\u4e2a\u8ba1\u7b97\u533a\u95f4\u3002\n            ch=changdu(jisuan,ndl)            #\u8ba1\u7b97\u91cc\u7a0b\u4e0e\u7b2c\u4e00\u4e2a\u7ad6\u66f2\u7ebf\u53d8\u5761\u70b9\u7684\u5b9e\u9645\u957f\u5ea6\u3002\n            jieguo=zhi(npd[j,0],npd[j,4],ch) #\u76f4\u7ebf\u6bb5\u7684\u6807\u9ad8\u8ba1\u7b97\n            return jieguo\n#-------------------------\n#\u4ee5\u4e0b\u662f\u6211\u4eec\u63d0\u53d6\u4e00\u4e2a\u6253\u5f00\u7684EXCEL\u8868\u683c\uff0c\u6309\u6bcf\u4e2a\u91cc\u7a0b\u8fdb\u884c\u6807\u9ad8\u8ba1\u7b97\napp=xw.apps.active\nwb = app.books.active\ndatasht=wb.sheets[0] #\u83b7\u53d6\u7b2c\u4e00\u4e2asheet\nshu=len(datasht.range(&#039;A1&#039;).expand(mode=&#039;down&#039;))-1 #\u9700\u8981\u6c42\u89e3\u7684\u91cc\u7a0b\u6570\u4e00\u5171\u6709x\u4e2a\u3002\n\nfor i in range(0,shu):\n    datasht[i+1,1].value=biaogao(datasht[i+1,0].value,npd,ndl)\n<\/code><\/pre>\n<blockquote>\n<p>\u672c\u6587\u4f7f\u7528 <a href=\"https:\/\/zhuanlan.zhihu.com\/p\/106057556\">Zhihu On VSCode<\/a> \u521b\u4f5c\u5e76\u53d1\u5e03<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u7531 \u7b80\u60a6 SimpRead \u8f6c\u7801\uff0c \u539f\u6587\u5730\u5740 zhuanlan.zhihu.com \u6211\u7684\u4f7f\u7528\u573a\u666f\u53ef\u4ee5\u7b80\u5316\u4e3a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-149","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/posts\/149","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/comments?post=149"}],"version-history":[{"count":49,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/posts\/149\/revisions"}],"predecessor-version":[{"id":237,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/posts\/149\/revisions\/237"}],"wp:attachment":[{"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/media?parent=149"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/categories?post=149"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/tags?post=149"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}