{"id":20837,"date":"2025-07-12T22:03:37","date_gmt":"2025-07-12T14:03:37","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=20837"},"modified":"2025-08-23T12:23:39","modified_gmt":"2025-08-23T04:23:39","slug":"%e8%a3%82%e9%a1%b9%e7%9b%b8%e6%b6%88%e6%b3%95","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=20837","title":{"rendered":"\u88c2\u9879\u76f8\u6d88\u6cd5"},"content":{"rendered":"<p>2025.7.12<br \/>\n\u6211\u5f1f\u5f1f\u5347\u521d\u4e2d\uff0c\u6691\u5047\u5b66\u6821\u5c31\u53ec\u96c6\u53bb\u4e0a\u8bfe\u4e86\uff0c\u4eca\u5929\u95ee\u6211\u7684\u9898\u91cc\u6709\u9053\u4ed6\u6ca1\u505a\u7684\uff0c\u6284\u4e86\u8001\u5e08\u7ed9\u7684\u7b54\u6848\uff0c\u6ca1\u61c2\u600e\u4e48\u505a\u7684\u3002\u6211\u770b\u4e86\u4e0b\u91cc\u9762\u6709\u4e00\u6b65\u7528\u5230\u4e86\u8fd9\u4e2a\u7ecf\u5178\u7684\u65b9\u6cd5\uff0c\u6211\u8bb0\u5f97\u6709\u4e2a\u516c\u5f0f\uff0c\u53ea\u662f\u4e0d\u77e5\u9053\u540d\u5b57\uff0c\u641c\u4e86\u4e00\u4e0b\u624d\u77e5\u9053\u53eb\u5217\u9879\u76f8\u6d88\u6cd5\uff0c\u8fd9\u662f\u4e00\u4e2a\u5f88\u57fa\u7840\u7684\u65b9\u6cd5\uff0c\u53ef\u80fd\u8003\u8bd5\u4e0d\u4e00\u5b9a\u5fc5\u8003\uff0c\u4f46\u662f\u5c5e\u4e8e\u5fc5\u987b\u77e5\u9053\u7684\u3002<\/p>\n<p>\u88c2\u9879\u516c\u5f0f\uff1a<\/p>\n<pre><code class=\"language-katex\">\\frac{1}{mn}=\\frac{1}{n-m}(\\frac1m-\\frac1n)<\/code><\/pre>\n<p>\u4e3e\u4f8b<\/p>\n<pre><code class=\"language-katex\">\\begin{aligned}\n&amp;\\frac{1}{3\\times10}+\\frac{1}{10\\times17}+\\frac{1}{17\\times24}+\\frac{1}{24\\times31} \\\\\n&amp;=\\frac{1}{10-3}(\\frac{1}{3}-\\frac{1}{10})+\\frac{1}{17-10}(\\frac{1}{10}-\\frac{1}{17})+\\frac{1}{24-17}(\\frac{1}{17}-\\frac{1}{24})+\\frac{1}{31-24}(\\frac{1}{24}-\\frac{1}{31}) \\\\\n&amp;=\\frac{1}{7}(\\frac{1}{3}-\\frac{1}{10})+\\frac{1}{7}(\\frac{1}{10}-\\frac{1}{17})+\\frac{1}{7}(\\frac{1}{17}-\\frac{1}{24})+\\frac{1}{7}(\\frac{1}{24}-\\frac{1}{31}) \\\\\n&amp;=\\frac17(\\frac{1}{3}-\\frac{1}{10}+\\frac{1}{10}-\\frac{1}{17}+\\frac{1}{17}-\\frac{1}{24}+\\frac{1}{24}-\\frac{1}{31}) \\\\\n&amp;=\\frac17(\\frac{1}{3}-\\frac{1}{31})\n\\end{aligned}<\/code><\/pre>\n<p>\u6211\u4e0a\u9762\u7ed9\u51fa\u7684\u662f\u901a\u7528\u7684\u65b9\u6cd5\uff0c\u6211\u5f1f\u5f1f\u9047\u5230\u7684\u90a3\u9053\u9898\u7b97\u662f\u7279\u6b8a\u60c5\u51b5\uff0cm\u548cn\u662f\u76f8\u90bb\u7684\u4e24\u4e2a\u6574\u6570\uff0c\u5c31\u53ef\u4ee5\u7b80\u5316<\/p>\n<pre><code class=\"language-katex\">\\frac{1}{mn}=\\frac1m-\\frac1n\uff0c\u4e14n-m=1<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>2025.7.12 \u6211\u5f1f\u5f1f\u5347\u521d\u4e2d\uff0c\u6691\u5047\u5b66\u6821\u5c31\u53ec\u96c6\u53bb\u4e0a\u8bfe\u4e86\uff0c\u4eca\u5929\u95ee\u6211\u7684\u9898\u91cc\u6709\u9053\u4ed6\u6ca1\u505a\u7684\uff0c\u6284\u4e86\u8001\u5e08\u7ed9\u7684\u7b54\u6848\uff0c\u6ca1\u61c2\u600e [&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":[1,612],"tags":[1402,1399,1400,1398,1403,1401,655,1043,1404,1397],"class_list":["post-20837","post","type-post","status-publish","format-standard","hentry","category-all","category-612","tag-1402","tag-1399","tag-1400","tag-1398","tag-1403","tag-1401","tag-655","tag-1043","tag-1404","tag-1397"],"modified_by":"IYATT-yx","_links":{"self":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/20837","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=20837"}],"version-history":[{"count":7,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/20837\/revisions"}],"predecessor-version":[{"id":21526,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/20837\/revisions\/21526"}],"wp:attachment":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=20837"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=20837"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=20837"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}