{"id":10823,"date":"2023-08-11T14:28:26","date_gmt":"2023-08-11T06:28:26","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=10823"},"modified":"2024-05-05T12:32:02","modified_gmt":"2024-05-05T04:32:02","slug":"%e5%88%86%e5%bc%8f%e7%a7%af%e5%8c%96%e5%b7%ae","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=10823","title":{"rendered":"\u5206\u5f0f\u79ef\u5316\u5dee"},"content":{"rendered":"<pre><code class=\"language-katex\">\\begin{aligned}\n\\frac{1}{mn}&amp;=\\frac{1}{n-m}\\cdot\\frac{n-m}{mn} \\\\\n&amp;=\\frac{1}{n-m}(\\frac{1}{m}-\\frac{1}{n})\n\\end{aligned}<\/code><\/pre>\n<p>\u8fd9\u79cd\u5206\u5f0f\u7684\u53d8\u6362\u65b9\u6cd5\u597d\u50cf\u662f\u5728\u521d\u4e2d\u7684\u65f6\u5019\u7b2c\u4e00\u6b21\u7528\u5230\u7684\uff0c\u4e5f\u4e0d\u8bb0\u5f97\u6709\u4ec0\u4e48\u540d\u5b57\uff0c\u8fd9\u91cc\u6211\u5c31\u53eb\u5b83\u201c\u5206\u5f0f\u79ef\u5316\u5dee\u201d\u5427\u3002<br \/>\n\u4e00\u822c\u9047\u5230\u7684\u60c5\u666f\u7c7b\u4f3c\u4e0b\u9762\uff0c\u8ba1\u7b97<\/p>\n<pre><code class=\"language-katex\">\\begin{aligned}\n&amp;\\ \\ \\ \\ \\frac{1}{1\\times2}+\\frac{1}{2\\times3}+\\frac{1}{3\\times4}+\\cdots+\\frac{1}{(n-1)n} \\\\\n&amp;=1-\\frac{1}{2}+\\frac{1}{2}-\\frac{1}{3}+\\frac{1}{3}-\\cdots+\\frac{1}{n-1}-\\frac{1}{n} \\\\\n&amp;=1-\\frac{1}{n} \\\\\n&amp;=\\frac{n-1}{n}\n\\end{aligned}\n\\\\\n\\begin{aligned}\n&amp;\\ \\ \\ \\ \\frac{1}{1\\times4}+\\frac{1}{4\\times7}+\\frac{1}{7\\times11}+\\cdots+\\frac{1}{(n-3)n} \\\\\n&amp;=\\frac{1}{3}(1-\\frac{1}{4}+\\frac{1}{4}-\\frac{1}{7}+\\cdots+\\frac{1}{n-3}-\\frac{1}{n}) \\\\\n&amp;=\\frac{1}{3}(1-\\frac{1}{n}) \\\\\n&amp;=\\frac{n-1}{3n}\n\\end{aligned}\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\\begin{aligned} \\frac{1}{mn}&amp;=\\frac{1}{n-m}\\cdot\\fr [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"_lmt_disableupdate":"no","_lmt_disable":"no","footnotes":""},"categories":[1],"tags":[],"class_list":["post-10823","post","type-post","status-publish","format-standard","hentry","category-all"],"modified_by":"IYATT-yx","_links":{"self":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/10823","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10823"}],"version-history":[{"count":0,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/10823\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10823"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10823"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10823"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}