{"id":309,"date":"2023-07-06T09:59:57","date_gmt":"2023-07-06T09:59:57","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/"},"modified":"2023-07-06T09:59:57","modified_gmt":"2023-07-06T09:59:57","slug":"%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/","title":{"rendered":"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62"},"content":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\uff08\u4e5f\u79f0\u4e3a\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff09\u662f\u4ec0\u4e48\u3002\u6211\u4eec\u5b66\u4e60\u5982\u4f55\u4ee5\u6570\u5b66\u65b9\u5f0f\u6784\u9020\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62\uff0c\u4ee5\u53ca\u5b83\u7684\u7528\u9014\u548c\u6240\u6709\u5c5e\u6027\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u5c55\u793a\u8fd9\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u4e09\u89d2\u5f62\u662f\u5982\u4f55\u4ee5\u53ca\u4f55\u65f6\u5f62\u6210\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-triangulo-de-Tartaglia-o-de-Pascal\"><\/span>\u4ec0\u4e48\u662f\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"><strong>\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u5e15\u65af\u5361\u4e09\u89d2\u5f62<\/strong>\uff0c\u662f\u6709\u5e8f\u6574\u6570\u7684\u4e09\u89d2\u5f62\u5f62\u5f0f\u7684\u6570\u5b66\u8868\u793a\u3002\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62\u7528\u4e8e\u8fdb\u884c\u6570\u5b66\u8ba1\u7b97\u3002<\/p>\n<p>\u8fd9\u662f\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u7684\u5b9a\u4e49\uff0c\u4f46\u60a8\u80af\u5b9a\u53ef\u4ee5\u901a\u8fc7\u4e09\u89d2\u5f62\u7684\u56fe\u50cf\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e2a\u6982\u5ff5\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/triangle-de-tartaglia-ou-pascal.png\" alt=\"\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\" class=\"wp-image-1928\" width=\"347\" height=\"335\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u4e5f\u88ab\u79f0\u4e3a\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff0c\u4ee5\u6cd5\u56fd\u54f2\u5b66\u5bb6\u548c\u6570\u5b66\u5bb6\u5e03\u83b1\u65af\u00b7\u5e15\u65af\u5361 (Blaise Pascal) \u7684\u540d\u5b57\u547d\u540d\uff0c\u4ed6\u4e8e 1654 \u5e74\u5f15\u5165\u4e86\u8fd9\u4e2a\u4e09\u89d2\u5f62\u8868\u8fbe\u5f0f\uff0c\u5c3d\u7ba1\u8fd9\u4e2a\u4e09\u89d2\u5f62\u81ea\u53e4\u4ee5\u6765\u5c31\u5df2\u4e3a\u4eba\u6240\u77e5\u3002\u4e0b\u9762\uff0c\u6211\u4eec\u5c06\u6df1\u5165\u7814\u7a76\u8fd9\u4e2a\u7279\u5b9a\u4e09\u89d2\u5f62\u7684\u5386\u53f2\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-se-construye-el-triangulo-de-Tartaglia-o-de-Pascal\"><\/span>\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u662f\u5982\u4f55\u6784\u9020\u7684\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u5982\u60a8\u5728\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff08\u6216\u5854\u5854\u5229\u4e9a\uff09\u4e2d\u770b\u5230\u7684\u90a3\u6837\uff0c\u6709\u5f88\u591a\u6570\u5b57\uff0c\u4f46\u8fd9\u5e76\u4e0d\u610f\u5473\u7740\u6211\u4eec\u5fc5\u987b\u8bb0\u4f4f\u5b83\u4eec\uff08\u8c22\u5929\u8c22\u5730\uff09\u3002\u6709\u4e00\u4e2a\u516c\u5f0f\u53ef\u4ee5\u8ba9\u4f60\u8f7b\u677e\u627e\u5230\u5e15\u65af\u5361\u6216\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u4e2d\u7684\u6240\u6709\u6570\u5b57\uff0c\u4f60\u53ea\u9700\u8981\u89e3\u7b80\u5355\u7684\u548c\u5373\u53ef\u3002<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\">\u8981<strong>\u6784\u5efa\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff0c<\/strong>\u60a8\u4ece\u4e09\u89d2\u5f62\u7684\u9876\u90e8\u5f00\u59cb\uff0c\u8be5\u9876\u90e8\u59cb\u7ec8\u4e3a 1\uff0c\u7136\u540e\u8ba1\u7b97\u4e0b\u9762\u7684\u7ebf\u3002\u4ee5\u4e0b\u5404\u884c\u4e2d\u7684\u6bcf\u4e2a\u6570\u5b57\u90fd\u662f\u5176\u6b63\u4e0a\u65b9\u4e24\u4e2a\u6570\u5b57\u4e4b\u548c\uff0c\u4f46\u884c\u5c3e\u59cb\u7ec8\u4e3a 1\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-construire-le-triangle-tartaglia-de-pascal.jpg\" alt=\"\" class=\"wp-image-1936\" width=\"204\" height=\"267\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u60a8\u53ef\u4ee5\u8ba1\u7b97\u4efb\u610f\u591a\u6761\u5854\u5c14\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u7684\u7ebf\uff0c\u56e0\u4e3a\u60a8\u53ef\u4ee5\u901a\u8fc7\u5c06\u6570\u5b57\u76f8\u52a0\u6765\u8fde\u7eed\u6dfb\u52a0\u7ebf\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFPara-que-sirve-el-triangulo-de-Tartaglia-o-de-Pascal\"><\/span>\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u6709\u4ec0\u4e48\u7528\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u77e5\u9053\u5982\u4f55\u6784\u9020\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u5f88\u597d\uff0c\u4f46\u662f\u2026\u2026\u8fd9\u4e2a\u7b97\u672f\u4e09\u89d2\u5f62\u6709\u4ec0\u4e48\u7528\u5462\uff1f\u597d\u5427\uff0c\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62\u5728\u6570\u5b66\u4e2d\u6709\u5f88\u591a\u5e94\u7528\uff0c\u7279\u522b\u662f\u5728\u4ee3\u6570\u9886\u57df\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Numeros-combinatorios\"><\/span>\u7ec4\u5408\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u9996\u5148\uff0c\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u7528\u4e8e\u76f4\u63a5\u8ba1\u7b97<strong>\u7ec4\u5408\u6570<\/strong>\uff0c\u4e5f\u79f0\u4e3a\u4e8c\u9879\u5f0f\u7cfb\u6570\u3002\u5982\u679c\u4f60\u4e0d\u77e5\u9053\u8fd9\u4e9b\u7c7b\u578b\u7684\u64cd\u4f5c\u662f\u4ec0\u4e48\uff0c\u4f60\u53ef\u4ee5\u5728\u6211\u4eec\u7684\u7f51\u7ad9\u4e0a\u641c\u7d22\u5b83\u4eec\uff08\u6211\u4eec\u5728\u53f3\u4e0a\u89d2\u6709\u4e00\u4e2a\u641c\u7d22\u5f15\u64ce\uff09\uff0c\u56e0\u4e3a\u6211\u4eec\u5df2\u7ecf\u5199\u4e86\u4e00\u7bc7\u8be6\u7ec6\u7684\u6587\u7ae0\uff0c\u6211\u4eec\u89e3\u91ca\u4e86\u5b83\u4eec\u662f\u5982\u4f55\u89e3\u51b3\u7684\uff0c\u4f60\u5728\u90a3\u91cc\u4f60\u8fd8\u5c06\u627e\u5230\u9010\u6b65\u89e3\u51b3\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002\u4f46\u603b\u800c\u8a00\u4e4b\uff0c\u7ec4\u5408\u6570\u7684\u4ee3\u6570\u8868\u8fbe\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-48e679742a7495d191ee7294e52ef892_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} n \\\\ k \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"31\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u90a3\u4e48\uff0c\u6240\u6709\u7684\u7ec4\u5408\u6570\u90fd\u53ef\u4ee5\u7528\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u8f7b\u677e\u786e\u5b9a\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u4e8c\u9879\u5f0f\u7cfb\u6570\u7684\u89e3\u7b49\u4ef7\u4e8e\u8fd9\u4e2a\u4e09\u89d2\u5f62\u8868\u8fbe\u5f0f\u7684\u4e00\u4e2a\u6570\uff0c\u5982\u4e0b\u56fe\u6240\u793a\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/tirangulo-de-tartaglia-pascal-nombres-combinatoires.jpg\" alt=\"\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u7684\u7ec4\u5408\u6570\" class=\"wp-image-1969\" width=\"569\" height=\"216\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4f8b\u5982\uff0c\u7ec4\u5408\u6570<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e258d8614201bad260ffdfbad6758ecc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{pmatrix} 4 \\\\ 2 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"29\" style=\"vertical-align: -17px;\"><\/p>\n<p>\u8fd4\u56de 6\uff0c\u56e0\u4e3a\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u4e2d\u5b58\u5728\u4e00\u4e2a 6\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u60a8\u77e5\u9053\u5982\u4f55\u6784\u9020\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff0c\u60a8\u5c31\u53ef\u4ee5\u5feb\u901f\u8ba1\u7b97\u4efb\u4f55\u7ec4\u5408\u6570\uff0c\u800c\u65e0\u9700\u4f7f\u7528\u5b83\u4eec\u7684\u516c\u5f0f\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Binomio-de-Newton\"><\/span>\u725b\u987f\u4e8c\u9879\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62\u7684\u53e6\u4e00\u4e2a\u7528\u9014\u662f\u80fd\u591f\u8ba1\u7b97<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u4e8c\u9879\u5f0f\/\">\u4e8c\u9879\u5f0f<\/a><\/span><\/strong>\u7684\u5e42\uff08\u5355\u51fb\u6b64\u94fe\u63a5\u4ee5\u4e86\u89e3\u4ec0\u4e48\u662f\u4e8c\u9879\u5f0f\uff09\u3002<\/p>\n<p>\u4e8c\u9879\u5f0f\u589e\u5f3a\u7684\u4e00\u4e2a\u4f8b\u5b50\u662f\u8457\u540d\u7684\u6052\u7b49\u5f0f\uff0c\u4f8b\u5982\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef98ef741811c17cd99e75e5f848ea69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u663e\u7740\u6052\u7b49\u5f0f\u5bf9\u4e8e\u6570\u5b66\u6765\u8bf4\u975e\u5e38\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ef\u4ee5\u8ba9\u6211\u4eec\u8282\u7701\u5927\u91cf\u8ba1\u7b97\uff0c\u76f4\u63a5\u5feb\u901f\u5730\u89e3\u51b3\u590d\u6742\u7684\u8fd0\u7b97\u3002\u56e0\u6b64\uff0c\u5982\u679c\u60a8\u4ecd\u7136\u4e0d\u77e5\u9053<a href=\"https:\/\/mathority.org\/cn\/\u6052\u7b49\u5f0f\u4ea7\u54c1-\u663e\u7740\u7684\u7b49\u5f0f\u89e3\u51b3\u7ec3\u4e60\/\"><strong><span style=\"text-decoration: underline;\">\u4ec0\u4e48\u662f\u503c\u5f97\u6ce8\u610f\u7684\u8eab\u4efd<\/span><\/strong><\/a>\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u67e5\u770b\u4ee5\u4e0b\u94fe\u63a5\u3002<\/p>\n<p>\u6b63\u5982\u60a8\u5728\u4e0a\u4e00\u4e2a\u94fe\u63a5\u4e2d\u770b\u5230\u7684\uff0c\u8457\u540d\u7684\u4e58\u79ef\u53ef\u4ee5\u76f4\u63a5\u7528\u5b83\u4eec\u7684\u516c\u5f0f\u6765\u6c42\u89e3\u3002\u4f46\u662f\u2026\u2026\u5f53\u8fd9\u5bf9\u63d0\u5347\u5230\u7acb\u65b9\u4f53\u6216\u66f4\u9ad8\u7684\u7a0b\u5ea6\u65f6\u4f1a\u53d1\u751f\u4ec0\u4e48\uff1f<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5b0a3cca7974eff9ac7a93f3178897c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} (a+b)^3 = \\ ? \\\\[3ex] (a+b)^4 = \\ ? \\\\[3ex] (a+b)^5 = \\ ? \\\\[3ex] \\bm{\\vdots} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"159\" width=\"92\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u597d\u5427\uff0c\u7531\u4e8e<strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/cn\/\u4e8c\u9879\u5f0f\u6216\u725b\u987f\u4e8c\u9879\u5f0f\u5b9a\u7406\u516c\u5f0f\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\/\">\u4e8c\u9879\u5f0f\u5b9a\u7406<\/a><\/span><\/strong>\uff08\u6216\u725b\u987f\u4e8c\u9879\u5f0f\uff09\uff0c\u8fd9\u4e9b\u4e8c\u9879\u5f0f\u53ef\u4ee5\u7528\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u4ee5\u975e\u5e38\u7b80\u5355\u7684\u65b9\u5f0f\u8ba1\u7b97\u3002\u867d\u7136\u638c\u63e1\u4e86\u65b9\u6cd5\uff0c\u4f46\u5e94\u7528\u8d77\u6765\u5f88\u5feb\uff0c\u4f46\u8981\u89e3\u91ca\u6e05\u695a\uff0c\u4f60\u9700\u8981\u4e00\u6574\u9875\u7eb8\u3002\u56e0\u6b64\uff0c\u5982\u679c\u60a8\u5bf9\u5982\u4f55\u89e3\u51b3\u6b64\u7c7b\u4e8c\u9879\u5f0f\u66f4\u611f\u5174\u8da3\uff0c\u8bf7\u5355\u51fb\u94fe\u63a5\u9875\u9762\uff0c\u60a8\u53ef\u4ee5\u770b\u5230\u5b83\u662f\u5982\u4f55\u5b8c\u6210\u7684\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Combinatoria\"><\/span>\u7ec4\u5408\u5b66<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u4e5f\u53ef\u7528\u4e8e\u786e\u5b9a\u7ec4\u5408\u548c\u6982\u7387\u3002<\/p>\n<p>\u5982\u679c\u6211\u4eec\u9047\u5230\u9700\u8981\u786e\u5b9a\u4e00\u4e2a\u7ec4\u53ef\u4ee5\u7ec4\u6210\u591a\u5c11\u4e2a\u4e0d\u540c\u7ec4\uff08\u65e0\u8bba\u987a\u5e8f\u5982\u4f55\uff09\u7684\u95ee\u9898\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709 5 \u5f20\u724c\uff0c\u8981\u77e5\u9053\u6709\u591a\u5c11\u79cd\u65b9\u5f0f\u53ef\u4ee5\u9009\u62e9 3\uff0c\u53ea\u9700\u8f6c\u5230\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u7684\u7b2c\u4e94\u884c\uff08\u7b2c\u4e00\u884c\u4e5f\u662f\u7b2c 0 \u884c\uff09\u7684\u7b2c\u4e09\u5217\uff08\u7b2c\u4e00\u5217\u4e3a\u96f6\uff09\u5373\u53ef\u3002\u8be5\u4f4d\u7f6e\u7684\u6570\u5b57 (10) \u5bf9\u5e94\u4e8e\u9009\u62e9 3 \u5f20\u724c\u7684\u53ef\u80fd\u6027\u6570\u91cf\u3002<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8003481089d515094558da6166401936_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1 \\quad 5 \\quad 10 \\quad \\color{blue}\\boxed{ \\color{black}10} \\color{black} \\quad 5 \\quad 1\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"280\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4ece 5 \u5f20\u724c\u4e2d\uff0c\u53ef\u4ee5\u5f62\u6210 10 \u4e2a\u4e0d\u540c\u7684\u7ec4\uff08\u6bcf\u7ec4\u4e09\u5f20\u724c\uff09\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-del-triangulo-de-Tartaglia-o-de-Pascal\"><\/span>\u5854\u5c14\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\uff0c\u4e5f\u79f0\u4e3a\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff0c\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62\u662f\u5bf9\u79f0\u7684\uff0c\u5373\u5c06\u6574\u4e2a\u4e09\u89d2\u5f62\u5206\u6210\u4e24\u4e2a\u76f8\u7b49\u7684\u7b49\u8fb9\u4e09\u89d2\u5f62\u7684\u5782\u76f4\u7ebf\u662f\u5bf9\u79f0\u8f74\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u4efb\u610f\u7ebf\u4e0a\u6240\u6709\u6570\u5b57\u7684\u6c34\u5e73\u603b\u548c\u7b49\u4e8e 2 \u7684\u5e42\u3002<\/span> <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/proprietes-du-triangle-tartaglia-ou-pascal.jpg\" alt=\"\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u7684\u6027\u8d28\" class=\"wp-image-1944\" width=\"481\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u7684\u5bf9\u89d2\u7ebf\u4e5f\u5f88\u91cd\u8981\uff1a\u7b2c\u4e00\u6761\u5bf9\u89d2\u7ebf\uff08\u5916\u5bf9\u89d2\u7ebf\uff09\u4e0a\u7684\u6570\u5b57\u4e3a\u4e00\uff0c\u7b2c\u4e8c\u6761\u5bf9\u89d2\u7ebf\u7531\u6240\u6709\u81ea\u7136\u6570\u7684\u5e8f\u5217\u7ec4\u6210\uff0c\u7b2c\u4e09\u6761\u5bf9\u89d2\u7ebf\u5bf9\u5e94\u4e09\u89d2\u5f62\u6570\u5b57\uff0c\u7b2c\u56db\u6761\u5bf9\u89d2\u7ebf\u7531\u56db\u65b9\uff08\u6216\u56db\u9762\u4f53\uff09\u6570\u3002<\/span> <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/tartaglia-triangle-ou-pascal-nombres-triangulaires-et-tetragonaux.jpg\" alt=\"\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u548c\u56db\u8fb9\u5f62\u6570\" class=\"wp-image-1948\" width=\"485\" height=\"280\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e09\u89d2\u5f62\u6570\u662f\u53ef\u4ee5\u7528\u4e09\u89d2\u5f62\u8868\u793a\u7684\u6570\u3002\u56db\u65b9\u6570\u662f\u90a3\u4e9b\u5f62\u6210\u4e09\u68f1\u9525\u7684\u6570\u3002<\/p>\n<p>\u5982\u679c\u4f60\u4e0d\u77e5\u9053\u4ec0\u4e48\u662f\u4e09\u89d2\u5f62\u6216\u56db\u8fb9\u5f62\u6570\uff0c\u90a3\u4e48\u4ec0\u4e48\u4e5f\u4e0d\u4f1a\u53d1\u751f\uff0c\u8fd9\u53ea\u662f\u5bf9\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u7684\u597d\u5947\u3002\u4f46\u662f\uff0c\u60a8\u9700\u8981\u4e86\u89e3\u81ea\u7136\u6570\uff08\u7528\u4e8e\u8ba1\u7b97\u5143\u7d20\u7684\u6570\u5b57\uff09\u7684\u542b\u4e49\u3002<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u9664\u6570\u5b57 1 \u5916\uff0c\u5982\u679c\u4e00\u884c\u4e2d\u7684\u7b2c\u4e00\u4e2a\u6570\u5b57\u662f\u8d28\u6570\uff0c\u5219\u540c\u4e00\u884c\u4e2d\u7684\u6240\u6709\u6570\u5b57\u90fd\u53ef\u4ee5\u88ab\u8be5\u6570\u5b57\u6574\u9664\u3002\u4f8b\u5982\uff0c\u5728\u7b2c\u516b\u884c\uff081-7-21-35-35-21-7-1\uff09\u4e2d\uff0c\u6570\u5b57 7\u300121 \u548c 35 \u53ef\u4ee5\u88ab 7 \u6574\u9664\uff087 \u662f\u8d28\u6570\uff09\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u7684\u53e6\u4e00\u4e2a\u7279\u70b9\u662f\uff0c\u53ef\u4ee5\u901a\u8fc7\u4ee5\u67d0\u79cd\u65b9\u5f0f\u6dfb\u52a0\u5bf9\u89d2\u7ebf\u6765\u627e\u5230\u6590\u6ce2\u90a3\u5951\u6570\u5217\uff1a<\/span> <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/tartaglia-or-pascal-triangle-fibonacci-series.jpg\" alt=\"\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u6590\u6ce2\u90a3\u5951\u6570\u5217\" class=\"wp-image-1956\" width=\"310\" height=\"340\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u6590\u6ce2\u90a3\u5951\u6570\u5217\u7684\u6bcf\u4e00\u9879\u90fd\u7b49\u4e8e\u524d\u4e24\u9879\u4e4b\u548c\uff0c\u524d\u4e24\u9879\u662f 1 \u548c 1\u3002\u56e0\u6b64\uff0c\u5c5e\u4e8e\u6590\u6ce2\u90a3\u5951\u6570\u5217\u7684\u6570\u5b57\u662f\uff1a1\u30011\u30012\u30013\u30015\u30018 , 13, 21, 34, 55, 89, 144, 233,\u2026<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u5982\u679c\u6211\u4eec\u5c06\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u7b2c\u4e09\u6761\u5bf9\u89d2\u7ebf\u7684\u4e24\u4e2a\u8fde\u7eed\u6570\u5b57 (1-3-6-10-15-\u2026) \u76f8\u52a0\uff0c\u6211\u4eec\u5c06\u5f97\u5230\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570 (1, 4, 9, 16, 25,\u2026)\u3002<\/span><\/li>\n<\/ul>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">\u5982\u679c\u6211\u4eec\u628a\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u7684\u5076\u6570\u4e2a\u6d82\u6210\u4e00\u79cd\u989c\u8272\uff0c\u5947\u6570\u4e2a\u6d82\u4e0a\u53e6\u4e00\u79cd\u989c\u8272\uff0c\u6211\u4eec\u5c31\u5f97\u5230\u4e86\u8c22\u5c14\u5bbe\u65af\u57fa\u4e09\u89d2\u5f62\u7684\u56fe\u5f62\uff0c\u8fd9\u662f\u4e00\u4e2a\u8457\u540d\u7684\u51e0\u4f55\u96c6\u5408\u3002\u4e0b\u9762\u60a8\u53ef\u4ee5\u770b\u5230\u9ad8\u4e3a 512 \u7684\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff0c\u5176\u4e2d\u5947\u6570\u4e3a\u9ed1\u8272\uff0c\u5076\u6570\u4e3a\u767d\u8272\uff1a<\/span> <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/sierpinski-triangle-tartaglia-pascal.png\" alt=\"\u5854\u5854\u5229\u4e9a\u7684\u8c22\u5c14\u5bbe\u65af\u57fa\u4e09\u89d2\u5f62\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\" class=\"wp-image-1958\" width=\"260\" height=\"251\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">Singmaster \u731c\u60f3\u6307\u51fa\uff0c\u6bcf\u4e2a\u5927\u4e8e 1 \u7684\u6570\u5b57\u51fa\u73b0\u7684\u6b21\u6570\u662f\u6709\u9650\u7684\u3002\u6216\u8005\u6362\u53e5\u8bdd\u8bf4\uff0c\u5c3d\u7ba1\u5854\u5c14\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u7684\u884c\u6570\u662f\u65e0\u9650\u7684\uff0c\u4f46\u9664 1 \u4e4b\u5916\u7684\u6bcf\u4e2a\u6570\u5b57\u51fa\u73b0\u7684\u6b21\u6570\u662f\u6709\u9650\u7684\u3002\u4ee4\u4eba\u597d\u5947\u7684\u662f\uff0c\u6570\u5b57 3003 \u662f\u8fc4\u4eca\u4e3a\u6b62\u552f\u4e00\u4e00\u4e2a\u5728\u4e09\u89d2\u5f62\u4e2d\u51fa\u73b0\u6700\u591a\u516b\u6b21\u7684\u6570\u5b57\u3002<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Historia-del-triangulo-de-Tartaglia-o-Pascal\"><\/span>\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u7684\u5386\u53f2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u662f\u4ec0\u4e48\u6837\u5b50\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u8fd9\u4e2a\u975e\u5e38\u7279\u6b8a\u7684\u6570\u5b66\u4e09\u89d2\u5f62\u662f\u4f55\u65f6\u53d1\u660e\u7684\u3002<\/p>\n<p>\u867d\u7136\u7b97\u672f\u4e09\u89d2\u5f62\u7684\u540d\u5b57\u4e3b\u8981\u5f52\u529f\u4e8e\u8457\u540d\u79d1\u5b66\u5bb6\u5854\u5c14\u5854\u5229\u4e9a\u548c\u5e15\u65af\u5361\uff0c\u4f46\u8fd9\u4e2a\u4ee3\u6570\u4e09\u89d2\u5f62\u4ee5\u524d\u5c31\u5df2\u7ecf\u88ab\u4f7f\u7528\u8fc7\u3002<\/p>\n<p>\u7531\u4e8c\u9879\u5f0f\u7cfb\u6570\u5f62\u6210\u7684\u4e09\u89d2\u5f62\u7684\u7b2c\u4e00\u4e2a\u8bb0\u5f55\u53ef\u4ee5\u8ffd\u6eaf\u5230 10 \u4e16\u7eaa\u7684\u5370\u5ea6\u3002\u7136\u800c\uff0c\u6ce2\u65af\u4eba\u5f00\u59cb\u7814\u7a76\u5b83\u7684\u6027\u8d28\uff0c\u7279\u522b\u662f\u6570\u5b66\u5bb6\u5361\u62c9\u5409\uff08Al-Karaji\uff0c953-1029\uff09\u548c\u5965\u9a6c\u5c14\u00b7\u6d77\u4e9a\u59c6\uff08Omar Khayyam\uff0c1048-1131\uff09\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u5728\u4f0a\u6717\u5b83\u88ab\u79f0\u4e3a\u6d77\u4e9a\u59c6-\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff0c\u751a\u81f3\u7b80\u79f0\u4e3a<strong>\u6d77\u4e9a\u59c6\u4e09\u89d2\u5f62<\/strong>\u3002<\/p>\n<p>\u8fd9\u4e2a\u4e09\u89d2\u5f62\u572811\u4e16\u7eaa\u5f00\u59cb\u7531\u6570\u5b66\u5bb6\u8d3e\u663e\u4f20\u5165\u4e2d\u56fd\uff0c\u4f46\u76f4\u523013\u4e16\u7eaa\u540e\u671f\uff0c\u6768\u7fce\u624d\u5c06\u5176\u4f5c\u4e3a<em>\u7b97\u672f\u4e09\u89d2\u5f62<\/em>\u5f15\u5165\u3002\u56e0\u6b64\uff0c\u5728\u4e9a\u6d32\u56fd\u5bb6\uff0c\u4ed6\u4eec\u79f0\u4e4b\u4e3a<strong>\u201c\u6768\u60e0\u4e09\u89d2\u201d<\/strong> \u3002<\/p>\n<p>\u540e\u6765\uff0c\u6570\u5b66\u4e09\u89d2\u5f62\u901a\u8fc7\u5fb7\u56fd\u4eba Petrus Apianus \u4f20\u5230\u4e86\u6b27\u6d32\u5927\u9646\uff0c\u5e76\u4e8e 1527 \u5e74\u5728\u4ed6\u7684<em>\u300aRechnung\u300b<\/em>\u4e00\u4e66\u4e2d\u4e13\u95e8\u53d1\u8868\u3002\u4ece\u90a3\u65f6\u8d77\uff0c\u8457\u540d\u7684\u610f\u5927\u5229\u4ee3\u6570\u5b66\u5bb6<strong>\u5c3c\u79d1\u6d1b\u00b7\u4e30\u5854\u7eb3\u00b7\u5854\u5c14\u5854\u5229\u4e9a<\/strong>\u5728 16 \u4e16\u7eaa\u4e0a\u534a\u53f6\u6df1\u5165\u7814\u7a76\u4e86\u4e09\u89d2\u5f62\uff0c\u4e3a\u4e86\u7eaa\u5ff5\u4ed6\uff0c\u5728\u610f\u5927\u5229\u7b49\u56fd\u5bb6\uff0c\u8be5\u4e09\u89d2\u5f62\u88ab\u79f0\u4e3a\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\u3002<\/p>\n<p>\u6700\u540e\uff0c\u6cd5\u56fd\u4eba<strong>\u5e03\u83b1\u65af\u00b7\u5e15\u65af\u5361<\/strong>\u5728 1654 \u5e74\u51fa\u7248\u7684\u300a<em>\u7b97\u672f\u4e09\u89d2\u5f62<\/em><em>\u8bba\u300b<\/em>\u4e2d\u5c55\u793a\u4e86\u6240\u7814\u7a76\u7684\u4e09\u89d2\u5f62\u7684\u8bb8\u591a\u6027\u8d28\uff0c\u56e0\u6b64\u5f97\u540d\u5e15\u65af\u5361\u4e09\u89d2\u5f62\u3002\u5e94\u8be5\u6307\u51fa\u7684\u662f\uff0c\u5176\u4e2d\u4e00\u4e9b\u6027\u8d28\u662f\u5df2\u77e5\u7684\uff0c\u4f46\u5e15\u65af\u5361\u901a\u8fc7\u6570\u5b66\u5f52\u7eb3\u6cd5\u8fdb\u884c\u4e86\u8bc1\u660e\u3002<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\uff08\u4e5f\u79f0\u4e3a\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff09\u662f\u4ec0\u4e48\u3002\u6211\u4eec\u5b66\u4e60\u5982\u4f55\u4ee5\u6570\u5b66\u65b9\u5f0f\u6784\u9020\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/\"> <span class=\"screen-reader-text\">\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[2],"tags":[],"class_list":["post-309","post","type-post","status-publish","format-standard","hentry","category-2"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62 - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62 - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\uff08\u4e5f\u79f0\u4e3a\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff09\u662f\u4ec0\u4e48\u3002\u6211\u4eec\u5b66\u4e60\u5982\u4f55\u4ee5\u6570\u5b66\u65b9\u5f0f\u6784\u9020\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09 &hellip; \u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62 \u67e5\u770b\u5168\u6587 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T09:59:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/triangle-de-tartaglia-ou-pascal.png\" \/>\n<meta name=\"author\" content=\"Mathority\u56e2\u961f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority\u56e2\u961f\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62\",\"datePublished\":\"2023-07-06T09:59:57+00:00\",\"dateModified\":\"2023-07-06T09:59:57+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/\"},\"wordCount\":24,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"articleSection\":[\"\u4e8c\u9879\u5f0f\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/\",\"name\":\"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62 - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-07-06T09:59:57+00:00\",\"dateModified\":\"2023-07-06T09:59:57+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/cn\/#website\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"name\":\"Mathority\",\"description\":\"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/cn\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\",\"name\":\"Mathority\u56e2\u961f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"Mathority\u56e2\u961f\"},\"sameAs\":[\"http:\/\/mathority.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62 - Mathority","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/cn\/\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\/","og_locale":"zh_CN","og_type":"article","og_title":"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62 - Mathority","og_description":"\u5728\u672c\u9875\u4e2d\uff0c\u6211\u4eec\u5c06\u89e3\u91ca\u5854\u5854\u5229\u4e9a\u4e09\u89d2\u5f62\uff08\u4e5f\u79f0\u4e3a\u5e15\u65af\u5361\u4e09\u89d2\u5f62\uff09\u662f\u4ec0\u4e48\u3002\u6211\u4eec\u5b66\u4e60\u5982\u4f55\u4ee5\u6570\u5b66\u65b9\u5f0f\u6784\u9020\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09 &hellip; \u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62 \u67e5\u770b\u5168\u6587 &raquo;","og_url":"https:\/\/mathority.org\/cn\/\u5854\u5854\u5229\u4e9a\u6216\u5e15\u65af\u5361\u4e09\u89d2\u5f62\/","article_published_time":"2023-07-06T09:59:57+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/triangle-de-tartaglia-ou-pascal.png"}],"author":"Mathority\u56e2\u961f","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Mathority\u56e2\u961f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62","datePublished":"2023-07-06T09:59:57+00:00","dateModified":"2023-07-06T09:59:57+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/"},"wordCount":24,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"articleSection":["\u4e8c\u9879\u5f0f"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/","url":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/","name":"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62 - Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-07-06T09:59:57+00:00","dateModified":"2023-07-06T09:59:57+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e5%a1%94%e5%a1%94%e5%88%a9%e4%ba%9a%e6%88%96%e5%b8%95%e6%96%af%e5%8d%a1%e4%b8%89%e8%a7%92%e5%bd%a2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u5854\u5854\u5229\u4e9a\uff08\u6216\u5e15\u65af\u5361\uff09\u4e09\u89d2\u5f62"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/cn\/#website","url":"https:\/\/mathority.org\/cn\/","name":"Mathority","description":"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01","publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/mathority.org\/cn\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/cn\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071","name":"Mathority\u56e2\u961f","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"Mathority\u56e2\u961f"},"sameAs":["http:\/\/mathority.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/309","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/comments?post=309"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/309\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=309"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=309"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}