{"id":33867,"date":"2024-06-01T17:51:26","date_gmt":"2024-06-01T09:51:26","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=33867"},"modified":"2025-08-13T16:49:52","modified_gmt":"2025-08-13T08:49:52","slug":"analysis-of-arml-problems","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/zh\/analysis-of-arml-problems-post-33867\/","title":{"rendered":"2025 ARML\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\u771f\u9898\u3001\u7b54\u6848\u89e3\u6790\uff01\u542b\u771f\u9898\u83b7\u53d6\u9014\u5f84\u4e0e\u5907\u8003\u6307\u5357"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\r\n<p>ARML\uff0c\u5168\u79f0\u4e3aThe American Regions Mathematics League\uff0c\u5373\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\uff0c\u662f\u4e00\u4e2a\u4e13\u4e3a\u9ad8\u4e2d\u751f\u8bbe\u8ba1\u7684\u3001\u5177\u6709\u9ad8\u6c34\u51c6\u548c\u9ad8\u542b\u91d1\u91cf\u7684\u6570\u5b66\u7ade\u8d5b\u3002\u662f\u5168\u7f8e\u5386\u53f2\u60a0\u4e45\u3001\u5f71\u54cd\u529b\u975e\u51e1\u7684\u56e2\u4f53\u8d5b\u5236\u56fd\u9645\u6570\u5b66\u8d5b\u4e8b\u4e4b\u4e00\uff0c\u8fd9\u9879\u7ade\u8d5b\u81ea1976\u5e74\u8d77\u4e3e\u529e\uff0c\u6bcf\u5e74\u5438\u5f15\u5168\u7f8e\u8fd1\u56db\u5343\u540d\u5b66\u751f\u53c2\u4e0e\u3002<\/p>\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"809\" height=\"434\" class=\"wp-image-35894\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2025\/07\/image-11.png\" alt=\"ARML\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\u771f\u9898\" \/><\/figure><\/div>\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e4%b8%80%e3%80%81arml%e7%be%8e%e5%9b%bd%e5%8c%ba%e5%9f%9f%e6%95%b0%e5%ad%a6%e8%81%94%e8%b5%9b%e7%ab%9e%e8%b5%9b%e6%a6%82%e5%86%b5\"><\/span>\u4e00\u3001ARML\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\u7ade\u8d5b\u6982\u51b5<span class=\"ez-toc-section-end\"><\/span><\/h2>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"1\">\r\n<li>ARML\u7684\u6bd4\u8d5b\u8bbe\u7f6e<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>ARML\u7684\u5b66\u672f\u6d3b\u52a8\u4ee5\u9488\u5bf9\u9ad8\u4e2d\u751f\u4e3a\u4e3b\u7684\u56e2\u961f\u8d5b\uff0c\u5305\u62ecLocal\u533a\u57df\u8d5b\u3001Power Contest\u664b\u7ea7\u6311\u6218\u8d5b\u4e0eInternational\u56fd\u9645\u8d5b\u3002<\/p>\r\n\r\n\r\n\r\n<p>Local\u533a\u57df\u8d5b\u5728\u5404\u4e2a\u57ce\u5e02\u7531\u5404\u4e2a\u5b66\u6821\u7ec4\u7ec7\uff0c\u6240\u6709\u5bf9\u6570\u5b66\u611f\u5174\u8da3\u7684\u5b66\u751f\u5747\u53ef\u62a5\u540d\uff1bPower Contest\u664b\u7ea7\u6311\u6218\u8d5b\u5c06\u9080\u8bf7\u5728Local\u533a\u57df\u8d5b\u4e2d\u6392\u540d\u9760\u524d\u7684\u56e2\u961f\u53c2\u4e0e\uff1bInternational\u56fd\u9645\u8d5b\u4e3b\u8981\u5728\u5bbe\u5927\u3001\u4f50\u6cbb\u4e9a\u5dde\u7acb\u5927\u5b66\u3001\u7231\u8377\u534e\u5927\u5b66\u4e3e\u529e\uff0c\u5e76\u5c06\u65e9\u4e9b\u65f6\u5019\u4ece\u4f4d\u4e8e\u62c9\u65af\u7ef4\u52a0\u65af\u7684\u5185\u534e\u8fbe\u5927\u5b66\u5f00\u59cb\u3002<\/p>\r\n<div class=\"retention-card-new\" data-lang=\"zh\" data-subject=\"MATH\" data-btnName=\"\u7acb\u5373\u514d\u8d39\u8bd5\u542c\" data-subTitle=\"\u9002\u5408\u5168\u74031-12\u5e74\u7ea7\u5b66\u751f\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\"><\/div>\r\n        <h3><p>\u609f\u7a7a\u56fd\u9645\u6570\u5b66<br \/>\n<span>\u8ba9\u6570\u5b66\u4e4b\u5149\u7167\u4eae\u6bcf\u4e00\u4e2a\u5b69\u5b50\uff01<\/span><\/p>\n<\/h3>\r\n        <p>\u9002\u5408\u5168\u74031-12\u5e74\u7ea7\u5b66\u751f<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/zh\/independent-appointment\/?subject=math&amp;l=c87d1e8c-ec8e-4a2a-83b7-84e0af53d81f&amp;booking_triggerevent=BLOG_DETAIL_MODEL_CTA_BUTTON\" data-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u70b9\u51fb\" data-event=\"C_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" data-expose-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u66dd\u5149\" data-expose-event=\"D_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" target=\"_blank\" title=\"\u7acb\u5373\u514d\u8d39\u8bd5\u542c\">\r\n            \u7acb\u5373\u514d\u8d39\u8bd5\u542c\r\n        <\/a>\r\n    <\/div>\r\n    <div class=\"retention-card-r\"><\/div>\r\n<\/div>\r\n\r\n\r\n<p>2016\u5e744\u6708\u8d77\uff0cARML Local\u533a\u57df\u8d5b\u4ee5\u53caARML Power Contest\u664b\u7ea7\u6311\u6218\u8d5b\u88ab\u6b63\u5f0f\u5f15\u5165\u4e2d\u56fd\uff0c\u4e0e\u7f8e\u56fd\u540c\u6b65\u5f00\u8003\u3001\u540c\u6837\u8bd5\u9898\u3001\u540c\u6837\u8d5b\u5236\u3001\u540c\u7b49\u8bc4\u5206\u3001\u540c\u65f6\u516c\u5e03\u6210\u7ee9\u4ee5\u53ca\u5168\u7403\u7edf\u4e00\u6392\u540d\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u6211\u4eec\u6765\u5177\u4f53\u4e86\u89e3\u4e00\u4e0bARML\u533a\u57df\u8d5b\uff0c\u664b\u7ea7\u8d5b\u548c\u56fd\u9645\u8d5b\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u00b7\u533a\u57df\u8d5b\uff1aARML \u533a\u57df\u8d5b\u4ee5\u56e2\u961f\u4e3a\u5355\u4f4d\u53c2\u8d5b\uff0c6\u4eba\u4e3a\u4e00\u961f\uff0c\u8d5b\u5236\u8bbe\u7f6e\u65b9\u9762\u5305\u542b\u4e86\u4e2a\u4eba\u8d5b\u3001\u56e2\u961f\u8d5b\u3001\u63a5\u529b\u8d5b\u3001\u5e73\u5c40\u8d5b\u591a\u79cd\u7c7b\u578b\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u00b7\u664b\u7ea7\u8d5b\uff1aARML \u664b\u7ea7\u6311\u6218\u8d5b \u4ec5\u9080\u8bf7\u5728ARML\u533a\u57df\u8d5b\u4e2d\u83b7\u5f97\u4f18\u5f02\u6210\u7ee9\u56e2\u961f\u53c2\u8d5b\uff0c\u4ee5\u56e2\u961f\u5f62\u5f0f\u53c2\u8d5b\uff0c\u9898\u578b\u5168\u90e8\u4e3a\u8bc1\u660e\u9898\u3002\u664b\u7ea7\u6311\u6218\u8d5b\u975e\u5e38\u65b0\u9896\uff0c\u901a\u5e38\u662f\u4ee5\u67d0\u70ed\u95e8\u793e\u4f1a\u8bdd\u9898\u3001\u8bae\u9898\u4e3a\u5207\u5165\u70b9\uff0c\u8ba9\u53c2\u8d5b\u56e2\u961f\u7528\u6570\u5b66\u7684\u65b9\u6cd5\u89e3\u51b3\u751f\u6d3b\u4e2d\u7684\u5b9e\u9645\u95ee\u9898\uff0c\u5f3a\u8c03\u6570\u5b66\u7684\u5e94\u7528\u6027\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u00b7\u56fd\u9645\u8d5b\uff1a\u4e3b\u8981\u5728\u7f8e\u56fd\u5bbe\u5915\u6cd5\u5c3c\u4e9a\u5927\u5b66\u3001\u4f50\u6cbb\u4e9a\u5dde\u7acb\u5927\u5b66\u3001\u7231\u8377\u534e\u5dde\u7acb\u5927\u5b66\u548c\u4f4d\u4e8e\u62c9\u65af\u7ef4\u52a0\u65af\u7684\u5185\u534e\u8fbe\u5dde\u7acb\u5927\u5b66\u56db\u6240\u5927\u5b66\u540c\u65f6\u4e3e\u529e\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u76ee\u524d\u56fd\u5185\u5b66\u751f\u53ea\u80fd\u53c2\u52a0\u533a\u57df\u8d5b\uff08Local\uff09\u4e0e\u664b\u7ea7\u6311\u6218\u8d5b\uff08Power Round I &amp;Power Round II\uff09\uff0c\u90e8\u5206\u6d77\u5916\u9ad8\u4e2d\u5c31\u8bfb\u5b66\u751f\u53ef\u53c2\u52a0\u56fd\u9645\u8d5b\u3002<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"2\">\r\n<li>ARML \u533a\u57df\u8d5b\u8003\u8bd5\u5185\u5bb9<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>ARML\u6570\u5b66\u533a\u57df\u6311\u6218\u8d5b\u662f\u56e2\u961f\u8d5b\uff0c\u4ee5\u7b80\u7b54\u9898\u4e3a\u4e3b\uff0c\u96be\u5ea6\u76f8\u5f53\u4e8eAIME\u6c34\u5e73\uff0c\u5f3a\u8c03\u6570\u5b66\u601d\u7ef4\u7684\u540c\u65f6\u4e5f\u5f3a\u8c03\u5b66\u751f\u7684\u8868\u8fbe\u80fd\u529b\uff0c\u6bcf\u9053\u9898\u96be\u5ea6\u8f83\u4e3a\u5747\u8861\u3002<\/p>\r\n\r\n\r\n\r\n<p>ARML\u533a\u57df\u6311\u6218\u8d5b\u5185\u5bb9\u5305\u62ec\u51e0\u4f55\uff0c\u4ee3\u6570\uff0c\u7ec4\u5408\u6570\u5b66\uff0c\u6982\u7387\uff0c\u4e0d\u7b49\u5f0f\u7b49\uff0c\u7b80\u7b54\u4e3a\u4e3b\uff0c\u4ee56 \u4eba\u5236\u56e2\u961f\u5f62\u5f0f\u53c2\u8d5b\uff0c\u66f4\u52a0\u6ce8\u91cd\u6570\u5b66\u7684\u8da3\u5473\u6027\u3001\u8de8\u5b66\u79d1\u8fd0\u7528\u7684\u7efc\u5408\u6027\u4ee5\u53ca\u540c\u5b66\u4eec\u56e2\u961f\u534f\u4f5c\u80fd\u529b\u3002\u56e0\u6b64\u5728\u8d5b\u5236\u65b9\u9762\u5305\u542b\u4e86\u4e2a\u4eba\u8d5b\u3001\u56e2\u961f\u8d5b\u3001\u63a5\u529b\u8d5b\u3001\u5e73\u5c40\u8d5b\u3002\u6bd4\u8d5b\u8fc7\u7a0b\u7684\u4e92\u52a8\u6027\u975e\u5e38\u9ad8\uff0c\u6c1b\u56f4\u5f88\u6fc0\u70c8\u3001\u6709\u8da3\uff0c\u975e\u5e38\u53d7\u53c2\u8d5b\u540c\u5b66\u6b22\u8fce\u3002<\/p>\r\n\r\n\r\n\r\n<ol class=\"wp-block-list\" start=\"3\">\r\n<li>ARML\u533a\u57df\u8d5b\u8003\u8bd5\u9898\u578b\u548c\u6d3b\u52a8\u5f62\u5f0f\uff1a<\/li>\r\n<\/ol>\r\n\r\n\r\n\r\n<p>\u00b7 \u56e2\u961f\u6311\u6218\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u517115\u9053\u7b80\u7b54\u9898\uff0c\u6bcf\u7b54\u5bf94\u5206\uff0c\u6ee1\u520660\u5206\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u00b7 \u4e2a\u4eba\u6311\u6218\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u51715\u8f6e\uff0c\u6bcf\u8f6e\u5f00\u59cb2\u9053\u7b80\u7b54\u9898\uff0c\u65f6\u957f10\u5206\u949f\u3002\u5728\u4e00\u8f6e\u7ed3\u675f\u65f6\uff0c\u5c06\u5206\u53d1\u4e0b\u4e00\u8f6e\u7684\u95ee\u9898\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u6b63\u786e\u7b54\u6848\uff0c\u5c06\u83b7\u5f97 1\u5206\u3002\u53ef\u7528\u7684\u6700\u9ad8\u5206\u6570\u4e3a 60 \u5206\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u00b7 \u5e73\u5c40\u52a0\u65f6\u6311\u6218\uff1a<\/p>\r\n\r\n\r\n\r\n<p>10\u5206\u949f\u51b3\u80dc\u5c40\uff0c\u53ea\u5305\u542b\u4e00\u4e2a\u95ee\u9898\uff0c\u5f71\u54cd\u4e2a\u4eba\u6392\u540d\uff0c\u4e0d\u5f71\u54cd\u56e2\u961f\u7efc\u5408\u5f97\u5206\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u00b7 \u63a5\u529b\u6311\u6218\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u51713\u8f6e\u3002\u7ec4\u54581\u8ba1\u7b97\u540e\u5c06\u7b54\u6848\u7ed9\u7ec4\u54582\uff0c\u7ec4\u54582\u6839\u636e\u8be5\u7b54\u6848\u89e3\u7b54\u9898\u76ee\uff0c\u518d\u5c06\u81ea\u5df1\u7684\u7b54\u6848\u4f20\u9012\u7ed9\u7ec4\u54583\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u7b2c\u4e00\u8f6e\u4e3a2\u4eba\u63a5\u529b\uff0c\u56e2\u961f6\u4eba\u5206\u4e3a\u4e09\u7ec4\u5206\u522b\u7b54\u9898\uff0c\u6bcf\u7ec42\u4e2a\u95ee\u9898\uff1b<\/p>\r\n\r\n\r\n\r\n<p>\u7b2c\u4e8c\u8f6e\u4e3a3\u4eba\u63a5\u529b\uff0c\u56e2\u961f6\u4eba\u5206\u4e3a\u4e24\u7ec4\u5206\u522b\u7b54\u9898\uff0c\u6bcf\u7ec43\u4e2a\u95ee\u9898\uff1b<\/p>\r\n\r\n\r\n\r\n<p>\u7b2c\u4e09\u8f6e\u4e3a6\u4eba\u63a5\u529b\uff0c\u6bcf\u7ec46\u4e2a\u95ee\u9898\u3002<\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e4%ba%8c%e3%80%812025-arml%e7%ab%9e%e8%b5%9b%e7%9c%9f%e9%a2%98%ef%bc%88%e5%85%8d%e8%b4%b9%e4%b8%8b%e8%bd%bdpdf%e7%89%88%ef%bc%89%e5%92%8c%e7%ad%94%e6%a1%88%e8%a7%a3%e6%9e%90\"><\/span>\u4e8c\u30012025 ARML\u7ade\u8d5b\u771f\u9898\uff08\u514d\u8d39\u4e0b\u8f7dPDF\u7248\uff09\u548c\u7b54\u6848\u89e3\u6790<span class=\"ez-toc-section-end\"><\/span><\/h2>\r\n\r\n\r\n\r\n<p>\u4ee5\u4e0b\u542b\u67092025\u5e74ARML\u5404\u7c7b\u9898\u578b\u7684\u771f\u9898\u4e3e\u4f8b\u548c\u89e3\u6790\uff0c\u4ee5\u53ca\u5b8c\u6574\u7248\u771f\u9898\u548c\u7b54\u6848\u89e3\u6790\u7684PDF\uff0c\u4f9b\u5927\u5bb6\u514d\u8d39\u4e0b\u8f7d\u4f7f\u7528\u3002\u8fd9\u4e9b\u771f\u9898\u5c06\u5e2e\u52a9\u4f60\u56de\u987e\u7ade\u8d5b\u4e2d\u7684\u6bcf\u9053\u9898\u76ee\uff0c\u5e76\u68c0\u67e5\u81ea\u5df1\u7684\u89e3\u7b54\u3002\u65e0\u8bba\u4f60\u60f3\u590d\u4e60\u77e5\u8bc6\u8fd8\u662f\u8fdb\u884c\u8fdb\u4e00\u6b65\u7684\u8ba8\u8bba\uff0cARML\u771f\u9898\u90fd\u662f\u975e\u5e38\u6709\u4ef7\u503c\u7684\u8d44\u6e90\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">1.2025 ARML\u771f\u9898\u4e3e\u4f8b\u53ca\u89e3\u6790<\/h3>\r\n\r\n\r\n\r\n<h4 class=\"wp-block-heading\">\u00b7Team Round (\u56e2\u961f\u8d5b)\u771f\u9898\u4e3e\u4f8b<\/h4>\r\n\r\n\r\n\r\n<p>The sum of three prime numbers is 134. Compute the greatest possible value for the difference between the greatest and the least of these three numbers.<\/p>\r\n\r\n\r\n\r\n<p>\u4e09\u4e2a\u8d28\u6570\u4e4b\u548c\u4e3a134\u3002\u8ba1\u7b97\u8fd9\u4e09\u4e2a\u8d28\u6570\u4e2d\u6700\u5927\u6570\u4e0e\u6700\u5c0f\u6570\u7684\u5dee\u7684\u6700\u5927\u53ef\u80fd\u503c\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u7b54\u6848\uff1a125<\/p>\r\n\r\n\r\n\r\n<p>\u9898\u76ee\u96be\u5ea6\u5206\u6790\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u8fd9\u4e2a\u95ee\u9898\u5c5e\u4e8e\u6570\u5b66\u4e2d\u7684\u6570\u8bba\u9898\u76ee\uff0c\u5177\u4f53\u662f\u5173\u4e8e\u8d28\u6570\uff08prime numbers\uff09\u7684\u5e94\u7528\u3002\u96be\u5ea6\u9002\u4e2d\uff0c\u4e3b\u8981\u8003\u9a8c\u5b66\u751f\u5bf9\u4e8e\u8d28\u6570\u6982\u5ff5\u7684\u7406\u89e3\u3001\u5217\u4e3e\u8d28\u6570\u7684\u80fd\u529b\u4ee5\u53ca\u903b\u8f91\u63a8\u7406\u80fd\u529b\u3002\u96be\u70b9\u5728\u4e8e\u9700\u8981\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u4e09\u4e2a\u8d28\u6570\uff0c\u540c\u65f6\u8003\u8651\u8fd9\u4e09\u4e2a\u8d28\u6570\u4e4b\u548c\u4e3a\u7279\u5b9a\u503c\uff08134\uff09\u65f6\uff0c\u5982\u4f55\u8c03\u6574\u4ee5\u5f97\u5230\u6700\u5927\u5dee\u503c\u3002\u56e0\u4e3a\u8d28\u6570\u662f\u4e0d\u53ef\u5206\u89e3\u7684\u81ea\u7136\u6570\uff08\u9664\u4e861\u548c\u5b83\u672c\u8eab\u5916\u6ca1\u6709\u5176\u4ed6\u56e0\u6570\uff09\uff0c\u6240\u4ee5\u4e0d\u80fd\u901a\u8fc7\u7b80\u5355\u7684\u6570\u5b66\u516c\u5f0f\u76f4\u63a5\u6c42\u89e3\uff0c\u800c\u9700\u8981\u901a\u8fc7\u679a\u4e3e\u6216\u8005\u4e00\u5b9a\u7684\u7b56\u7565\u6765\u5c1d\u8bd5\u548c\u9a8c\u8bc1\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u601d\u8def\u4e0e\u89e3\u6790\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u7531\u4e8e\u4e09\u4e2a\u6570\u5b57\u4e4b\u548c\u4e3a\u5076\u6570\uff0c\u8fd9\u4e09\u4e2a\u6570\u5b57\u4e0d\u53ef\u80fd\u5168\u4e3a\u5947\u6570\u3002\u7531\u4e8e2\u662f\u552f\u4e00\u7684\u5076\u6570\u8d28\u6570\uff0c\u56e0\u6b64\u5fc5\u7136\u6709\u4e00\u4e2a\u6570\u5b57\u662f2\uff0c\u4e14\u8fd9\u4e2a\u6570\u5b57\u662f\u6700\u5c0f\u7684\u3002\u8bbe\u53e6\u5916\u4e24\u4e2a\u8d28\u6570\u4e3ap\u548cq\uff08p&lt;q\uff09\u3002\u4e8e\u662f\u6709p+q=134-2=132\uff0c\u8981\u60f3\u4f7fq-2\u7684\u503c\u5c3d\u53ef\u80fd\u5927\uff0c\u5c31\u9700\u8981p\u5c3d\u53ef\u80fd\u5c0f\u3002\u6ce8\u610f1\u4e0d\u662f\u8d28\u6570\uff0c\u6240\u4ee5p\u81f3\u5c11\u4e3a3\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u5982\u679cp=3\uff0c\u5219q=129=3\u00d743\uff0c\u8fd9\u4e0d\u662f\u8d28\u6570\u3002\u5982\u679cp=5\uff0c\u5219q=127\uff0c\u8fd9\u662f\u4e00\u4e2a\u8d28\u6570\u3002\u5bb9\u6613\u9a8c\u8bc12\u30013\u30015\u30017\u300111\u5747\u4e0d\u662f127\u7684\u56e0\u6570\u3002\u5982\u679c127\u4e0d\u662f\u8d28\u6570\uff0c\u90a3\u4e48\u5b83\u53ef\u4ee5\u8868\u793a\u4e3ad\u00d7j\uff08d\u548cj\u5747\u4e3a\u6574\u6570\uff0c\u4e141&lt;d&lt;127\uff09\u3002\u4f46\u56e0\u4e3ad\u4e0d\u80fd\u7b49\u4e8e2\u30013\u30015\u30017\u300111\uff0c\u8fd9\u610f\u5473\u7740d\u548c127\u7684\u6700\u5c0f\u516c\u56e0\u6570\u81f3\u5c11\u4e3a13\uff0c\u8fd9\u6837\u4e00\u6765127=d\u00d7j\u226513\u00d713=169\uff0c\u8fd9\u662f\u4e0d\u53ef\u80fd\u7684\u3002\u56e0\u6b64\uff0c127\u662fq\u53ef\u80fd\u53d6\u5230\u7684\u6700\u5927\u503c\uff0c\u6545\u6240\u6c42\u7684\u6700\u5927\u5dee\u503c\u4e3a127-2=125\u3002<\/p>\r\n\r\n\r\n\r\n<h4 class=\"wp-block-heading\">\u00b7Individual Round (\u4e2a\u4eba\u8d5b)\u771f\u9898\u4e3e\u4f8b\u548c\u89e3\u6790<\/h4>\r\n\r\n\r\n\r\n<p>The original price of an item is N dollars. A store carrying this item has a sale in which every item is priced at a 10% discount. Gerry incorrectly calculates the item&#8217;s sale price by subtracting 10 dollars from the item\u2019s original price. Gerry&#8217;s price is 1 dollar more than the discounted price. Compute N.<\/p>\r\n\r\n\r\n\r\n<p>\u67d0\u5546\u54c1\u7684\u539f\u4ef7\u4e3aN\u7f8e\u5143\u3002\u4e00\u5bb6\u9500\u552e\u8be5\u5546\u54c1\u7684\u5546\u5e97\u6b63\u5728\u8fdb\u884c\u6253\u6298\u4fc3\u9500\uff0c\u6240\u6709\u5546\u54c1\u90fd\u4ee59\u6298\uff08\u5373\u964d\u4ef710%\uff09\u51fa\u552e\u3002Gerry\u9519\u8bef\u5730\u901a\u8fc7\u4ece\u5546\u54c1\u7684\u539f\u4ef7\u4e2d\u51cf\u53bb10\u7f8e\u5143\u6765\u8ba1\u7b97\u8be5\u5546\u54c1\u7684\u4fc3\u9500\u4ef7\u3002Gerry\u8ba1\u7b97\u51fa\u7684\u4ef7\u683c\u6bd4\u5b9e\u9645\u6253\u6298\u540e\u7684\u4ef7\u683c\u9ad8\u51fa\u4e861\u7f8e\u5143\u3002\u8bf7\u8ba1\u7b97\u5546\u54c1\u7684\u539f\u4ef7N\u662f\u591a\u5c11\uff1f<\/p>\r\n\r\n\r\n\r\n<p>\u7b54\u6848\uff1a110<\/p>\r\n\r\n\r\n\r\n<p>\u9898\u76ee\u96be\u5ea6\u5206\u6790\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u6b64\u9898\u5c5e\u4e8e\u57fa\u7840\u6570\u5b66\u5e94\u7528\u9898\uff0c\u96be\u5ea6\u9002\u4e2d\u3002\u5b83\u6d89\u53ca\u767e\u5206\u6bd4\u8ba1\u7b97\u3001\u7b80\u5355\u7684\u4ee3\u6570\u8fd0\u7b97\u4ee5\u53ca\u7406\u89e3\u9500\u552e\u6298\u6263\u7684\u5b9e\u9645\u5e94\u7528\u3002\u89e3\u9898\u5173\u952e\u5728\u4e8e\u6b63\u786e\u8bbe\u7f6e\u7b49\u5f0f\uff0c\u5c06\u6587\u5b57\u4fe1\u606f\u8f6c\u6362\u4e3a\u6570\u5b66\u8868\u8fbe\u5f0f\uff0c\u5bf9\u521d\u4e2d\u751f\u6216\u9ad8\u4e2d\u751f\u800c\u8a00\uff0c\u8fd9\u7c7b\u9898\u76ee\u65e8\u5728\u8bad\u7ec3\u4ed6\u4eec\u5c06\u5b9e\u9645\u60c5\u5883\u62bd\u8c61\u6210\u6570\u5b66\u95ee\u9898\u7684\u80fd\u529b\u4ee5\u53ca\u4ee3\u6570\u89e3\u9898\u6280\u5de7\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u601d\u8def\u4e0e\u89e3\u6790\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u6253\u6298\u540e\u7684\u4ef7\u683c\u662f\u539f\u4ef7N\u51cf\u53bb\u539f\u4ef7\u768410%\uff0c\u5373 N &#8211; 0.1N = 0.9N\u3002\u6839\u636e\u9898\u76ee\u7ed9\u51fa\u7684\u4fe1\u606f\uff0c\u6211\u4eec\u77e5\u9053\u539f\u4ef7\u51cf\u53bb10\u7b49\u4e8e\u6253\u6298\u540e\u7684\u4ef7\u683c\u518d\u52a0\u4e0a1\uff0c\u56e0\u6b64\u53ef\u4ee5\u5217\u51fa\u7b49\u5f0f N &#8211; 10 = 0.9N + 1\u3002\u89e3\u8fd9\u4e2a\u7b49\u5f0f\u53ef\u5f97 N = 110\u3002<\/p>\r\n\r\n\r\n\r\n<h4 class=\"wp-block-heading\">\u00b7Relay Round (\u63a5\u529b\u8d5b)\u771f\u9898\u4e3e\u4f8b\u548c\u89e3\u6790<\/h4>\r\n\r\n\r\n\r\n<p>A standard, fair six-sided die is rolled four times, resulting in the values a, b, c, and d. Suppose that the maximum and minimum possible values of a + ab- cd + d are M and N, respectively, Compute M &#8211; N.<\/p>\r\n\r\n\r\n\r\n<p>\u4e00\u679a\u6807\u51c6\u7684\u3001\u516c\u5e73\u7684\u516d\u9762\u9ab0\u5b50\u88ab\u8fde\u7eed\u6295\u63b7\u56db\u6b21\uff0c\u5f97\u5230\u7684\u6570\u503c\u5206\u522b\u4e3aa\u3001b\u3001c\u3001d\u3002\u5047\u8bbea + ab &#8211; cd + d\u8fd9\u4e00\u8868\u8fbe\u5f0f\u7684\u6700\u5927\u53ef\u80fd\u503c\u4e3aM\uff0c\u6700\u5c0f\u53ef\u80fd\u503c\u4e3aN\uff0c\u8bf7\u8ba1\u7b97M &#8211; N\u7684\u503c\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u7b54\u6848\uff1a70<\/p>\r\n\r\n\r\n\r\n<p>\u9898\u76ee\u96be\u5ea6\u5206\u6790\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u6b64\u9898\u5c5e\u4e8e\u4e2d\u7b49\u96be\u5ea6\u7684\u6570\u5b66\u95ee\u9898\uff0c\u6d89\u53ca\u6392\u5217\u7ec4\u5408\u3001\u6982\u7387\u8bba\u7684\u57fa\u7840\u77e5\u8bc6\u4ee5\u53ca\u7b80\u5355\u7684\u4ee3\u6570\u8fd0\u7b97\u3002\u5b83\u8981\u6c42\u89e3\u8005\u5177\u5907\u826f\u597d\u7684\u903b\u8f91\u601d\u7ef4\u80fd\u529b\u548c\u5bf9\u6570\u5b57\u654f\u611f\u6027\uff0c\u540c\u65f6\u8981\u80fd\u591f\u7406\u89e3\u5e76\u5904\u7406\u53d8\u91cf\u95f4\u7684\u5173\u7cfb\u4ee5\u53ca\u5b83\u4eec\u5728\u7279\u5b9a\u7ea6\u675f\u6761\u4ef6\u4e0b\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u95ee\u9898\u3002\u89e3\u9898\u65f6\uff0c\u9700\u8981\u8003\u8651\u6240\u6709\u53ef\u80fd\u7684\u7ec4\u5408\u60c5\u51b5\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u601d\u8def\u4e0e\u89e3\u6790\uff1a<\/p>\r\n\r\n\r\n\r\n<p>\u5c06\u8868\u8fbe\u5f0f\u91cd\u65b0\u6574\u7406\u4e3aa(b+1) + d(1-c)\u7684\u5f62\u5f0f\u3002\u5df2\u77e5\u6761\u4ef6\u662f1 \u2264 a \u2264 6\u4ee5\u53ca2 \u2264 b+1 \u2264 7\uff0c\u7531\u6b64\u53ef\u5f972 \u2264 a(b+1) \u2264 42\u3002\u540c\u65f6\uff0c\u56e0\u4e3a1 \u2264 d \u2264 6\u5e76\u4e140 \u2264 (c-1) \u2264 5\uff0c\u53ef\u4ee5\u63a8\u51fa0 \u2264 d(c-1) \u2264 30\uff0c\u8fdb\u800c\u5f97\u5230-30 \u2264 d(1-c) \u2264 0\u3002\u5c06\u8fd9\u4e24\u4e2a\u4e0d\u7b49\u5f0f\u76f8\u52a0\uff0c\u6211\u4eec\u5f97\u5230-28 \u2264 a(b+1) + d(1-c) \u2264 42\u3002\u56e0\u6b64\uff0c\u6700\u5c0f\u53ef\u80fd\u503cN\u4e3a-28\uff0c\u6700\u5927\u53ef\u80fd\u503cM\u4e3a42\uff0c\u4ece\u800cM\u4e0eN\u4e4b\u95f4\u7684\u5deeM-N\u7b49\u4e8e70\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">2.2025 ARML\u7ade\u8d5b\u771f\u9898\u5b8c\u6574\u7248\u548c\u7b54\u6848\u3001\u9898\u76ee\u89e3\u6790<\/h3>\r\n\r\n\r\n\r\n<p>\u4ee5\u4e0b\u4e24\u4e2a\u6587\u4ef6\u5206\u522b\u662f2025\u5e74ARML\u771f\u9898\u5b8c\u6574\u7248\u4ee5\u53ca\u5bf9\u6bcf\u9053\u7ade\u8d5b\u771f\u9898\u7684\u89e3\u9898\u65b9\u6cd5\u7684\u8be6\u7ec6\u5206\u6790\uff0c\u5927\u5bb6\u53ef\u4ee5\u81ea\u884c\u514d\u8d39\u4e0b\u8f7dPDF\u7248\u7684\u771f\u9898\u548c\u7b54\u6848\u89e3\u6790\u4f7f\u7528\u3002<\/p>\r\n\r\n\r\n\r\n<p>ARML Local 2025 Problems.pdf \u771f\u9898\u5b8c\u6574\u7248<\/p>\r\n\r\n\r\n\r\n<p>ARML Local 2025 Solutions(1).pdf\u7b54\u6848\u548c\u89e3\u6790<\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e4%b8%89%e3%80%81arml-%e7%be%8e%e5%9b%bd%e5%8c%ba%e5%9f%9f%e6%95%b0%e5%ad%a6%e8%81%94%e8%b5%9b%e7%9c%9f%e9%a2%98%e8%8e%b7%e5%8f%96%e9%80%94%e5%be%84\"><\/span>\u4e09\u3001ARML \u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\u771f\u9898\u83b7\u53d6\u9014\u5f84<span class=\"ez-toc-section-end\"><\/span><\/h2>\r\n\r\n\r\n\r\n<p>\u83b7\u53d6ARML\uff08\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\uff09\u7684\u771f\u9898\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u51e0\u79cd\u9014\u5f84\uff1a<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">1. \u5b98\u65b9\u7f51\u7ad9\u548c\u5b98\u65b9\u51fa\u7248\u7269\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>ARML\u7684\u5b98\u65b9\u7f51\u7ad9\u53ef\u80fd\u4f1a\u63d0\u4f9b\u8fc7\u5f80\u8d5b\u4e8b\u7684\u8bd5\u9898\u548c\u89e3\u7b54\uff0c\u8fd9\u662f\u83b7\u53d6\u771f\u9898\u6700\u76f4\u63a5\u4e5f\u662f\u6700\u6743\u5a01\u7684\u9014\u5f84\u3002\u53c2\u8d5b\u8005\u53ef\u4ee5\u8bbf\u95eeARML\u5b98\u7f51\uff08<a href=\"https:\/\/arml3.com\/\">https:\/\/arml3.com\/<\/a>\uff09\u67e5\u770b\u516c\u5f00\u7684\u5386\u5e74\u8bd5\u9898\u8d44\u6e90\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">2. \u5b66\u6821\u8d44\u6e90\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u4e00\u4e9b\u5b66\u6821\u7684\u6570\u5b66\u4ff1\u4e50\u90e8\u6216\u8001\u5e08\u7ecf\u5e38\u4f1a\u6574\u7406\u548c\u5206\u4eab\u56fd\u9645\u6570\u5b66\u7ade\u8d5b\u7684\u771f\u9898\u4e0e\u89e3\u6790\u3002\u53ef\u80fd\u4fdd\u5b58\u6709ARML\u7684\u7ec3\u4e60\u9898\u548c\u8fc7\u53bb\u6bd4\u8d5b\u7684\u771f\u9898\uff0c\u53ef\u4ee5\u5411\u5b66\u6821\u8001\u5e08\u6216\u76f8\u5173\u90e8\u95e8\u54a8\u8be2\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">3. \u6570\u5b66\u8bba\u575b\u548c\u793e\u7fa4\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u8bb8\u591a\u6570\u5b66\u7231\u597d\u8005\u548c\u53c2\u8d5b\u8005\u4f1a\u5728\u7f51\u7edc\u8bba\u575b\u5206\u4eab\u7ade\u8d5b\u7ecf\u9a8c\uff0c\u5305\u62ec\u771f\u9898\u8ba8\u8bba\u548c\u89e3\u9898\u601d\u8def\uff0c\u7ecf\u5e38\u6709\u524d\u8f88\u5206\u4eab\u5386\u5e74\u771f\u9898\u548c\u590d\u4e60\u7ecf\u9a8c\uff0c\u53ef\u4ee5\u5bfb\u627e\u76f8\u5173\u8bba\u575b\uff0cQQ\u7fa4\u6216\u5fae\u4fe1\u7fa4\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">4. \u56fe\u4e66\u548c\u6559\u6750\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u6709\u4e9b\u6570\u5b66\u7ade\u8d5b\u51c6\u5907\u4e66\u7c4d\u4f1a\u6536\u5f55ARML\u53ca\u5176\u4ed6\u8457\u540d\u6570\u5b66\u7ade\u8d5b\u7684\u771f\u9898\uff0c\u53c2\u8d5b\u8005\u53ef\u4ee5\u5728\u56fe\u4e66\u9986\u6216\u4e66\u5e97\u5bfb\u627e\u8fd9\u7c7b\u7ade\u8d5b\u8f85\u5bfc\u4e66\uff0c\u6216\u8005\u5728\u7ebf\u4e0a\u8d2d\u4e66\u5e73\u53f0\u641c\u7d22\u76f8\u5173\u4e66\u7c4d\u3002<\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e5%9b%9b%e3%80%81arml%e7%be%8e%e5%9b%bd%e5%8c%ba%e5%9f%9f%e6%95%b0%e5%ad%a6%e8%81%94%e8%b5%9b%e5%a4%87%e8%80%83%e6%8c%87%e5%8d%97\"><\/span>\u56db\u3001ARML\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\u5907\u8003\u6307\u5357<span class=\"ez-toc-section-end\"><\/span><\/h2>\r\n\r\n\r\n\r\n<p>\u51c6\u5907\u53c2\u52a0\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\uff08ARML\uff09\u7684\u8003\u751f\u53ef\u4ee5\u9075\u5faa\u4ee5\u4e0b\u5907\u8003\u6307\u5357\uff0c\u4ee5\u63d0\u9ad8\u81ea\u5df1\u7684\u7ade\u4e89\u529b\u548c\u56e2\u961f\u534f\u4f5c\u80fd\u529b\uff1a<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">1. \u4e86\u89e3\u7ade\u8d5b\u89c4\u5219\u548c\u683c\u5f0f\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u9996\u5148\uff0c\u719f\u6089ARML\u7684\u6bd4\u8d5b\u89c4\u5219\u3001\u9898\u578b\u7ed3\u6784\u548c\u65f6\u95f4\u5b89\u6392\u3002\u719f\u6089\u4e2a\u4eba\u8d5b\u3001\u63a5\u529b\u8d5b\u548c\u56e2\u961f\u8d5b\u7b49\u73af\u8282\u7684\u5177\u4f53\u60c5\u51b5\uff0c\u4e86\u89e3\u6bcf\u4e00\u90e8\u5206\u7684\u5206\u503c\u5206\u5e03\u548c\u65f6\u95f4\u9650\u5236\u5bf9\u4e8e\u5236\u5b9a\u7b56\u7565\u81f3\u5173\u91cd\u8981\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">2. \u57fa\u7840\u5de9\u56fa\u4e0e\u9ad8\u7ea7\u6982\u5ff5\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u5f3a\u5316\u6570\u5b66\u57fa\u7840\u77e5\u8bc6\uff0c\u786e\u4fdd\u5bf9\u4ee3\u6570\u3001\u51e0\u4f55\u3001\u7ec4\u5408\u6570\u5b66\u3001\u6570\u8bba\u7b49\u9886\u57df\u7684\u57fa\u672c\u6982\u5ff5\u638c\u63e1\u7262\u56fa\u3002\u540c\u65f6\uff0c\u6311\u6218\u66f4\u9ad8\u96be\u5ea6\u7684\u95ee\u9898\uff0c\u6d89\u53ca\u7684\u89e3\u9898\u6280\u5de7\u548c\u7406\u8bba\u53ef\u80fd\u8d85\u51fa\u5e38\u89c4\u9ad8\u4e2d\u6570\u5b66\u8bfe\u7a0b\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">3. \u5386\u5e74\u771f\u9898\u7ec3\u4e60\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u5229\u7528\u5386\u5e74\u771f\u9898\u548c\u6a21\u62df\u9898\u8fdb\u884c\u7ec3\u4e60\uff0c\u8fd9\u53ef\u4ee5\u5e2e\u52a9\u4f60\u719f\u6089\u8003\u8bd5\u98ce\u683c\uff0c\u63d0\u5347\u89e3\u9898\u901f\u5ea6\u548c\u51c6\u786e\u6027\u3002\u53ef\u4ee5\u5728ARML\u5b98\u7f51\u3001\u6570\u5b66\u8bba\u575b\u3001\u6559\u80b2\u673a\u6784\u7f51\u7ad9\u7b49\u5730\u65b9\u5bfb\u627e\u8fd9\u4e9b\u8d44\u6e90\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">4. \u56e2\u961f\u5408\u4f5c\u4e0e\u7b56\u7565\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>ARML\u5f3a\u8c03\u56e2\u961f\u5408\u4f5c\uff0c\u4e0e\u961f\u53cb\u5b9a\u671f\u8fdb\u884c\u96c6\u4f53\u8bad\u7ec3\uff0c\u5b66\u4e60\u5982\u4f55\u9ad8\u6548\u6c9f\u901a\u89e3\u9898\u601d\u8def\u548c\u5206\u914d\u4efb\u52a1\u3002\u56e2\u961f\u8d5b\u4e2d\uff0c\u5236\u5b9a\u89e3\u9898\u7b56\u7565\u548c\u5206\u5de5\u5408\u4f5c\u662f\u5173\u952e\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">5. \u65f6\u95f4\u7ba1\u7406\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u7ec3\u4e60\u5728\u9650\u5b9a\u65f6\u95f4\u5185\u89e3\u51b3\u95ee\u9898\uff0c\u7279\u522b\u662f\u5728\u4e2a\u4eba\u8d5b\u4e2d\uff0c\u5feb\u901f\u51c6\u786e\u5730\u5b8c\u6210\u9898\u76ee\u662f\u5f97\u5206\u7684\u5173\u952e\u3002\u53ef\u4ee5\u901a\u8fc7\u5b9a\u65f6\u7ec3\u4e60\u6765\u63d0\u9ad8\u89e3\u9898\u6548\u7387\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">6. \u5fc3\u7406\u8c03\u9002\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u7ade\u8d5b\u538b\u529b\u7ba1\u7406\u540c\u6837\u91cd\u8981\uff0c\u5b66\u4f1a\u653e\u677e\u5fc3\u6001\uff0c\u4fdd\u6301\u51b7\u9759\uff0c\u5c24\u5176\u662f\u5728\u957f\u65f6\u95f4\u7684\u6bd4\u8d5b\u4e2d\u3002\u53ef\u4ee5\u901a\u8fc7\u51a5\u60f3\u3001\u6df1\u547c\u5438\u7b49\u65b9\u6cd5\u6765\u51cf\u8f7b\u7d27\u5f20\u60c5\u7eea\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">7. \u53c2\u52a0\u6a21\u62df\u8d5b\u548c\u8bb2\u5ea7\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u53c2\u52a0\u7531ARML\u5b98\u65b9\u6216\u5176\u4ed6\u6559\u80b2\u673a\u6784\u7ec4\u7ec7\u7684\u6a21\u62df\u8d5b\u548c\u8bb2\u5ea7\uff0c\u53ef\u4ee5\u8ba9\u4f60\u63d0\u524d\u611f\u53d7\u6bd4\u8d5b\u6c1b\u56f4\uff0c\u540c\u65f6\u83b7\u53d6\u5b9d\u8d35\u7684\u53cd\u9988\u548c\u5efa\u8bae\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">8. \u5b66\u4e60\u89e3\u9898\u6280\u5de7\u548c\u7b56\u7565\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u638c\u63e1\u4e00\u4e9b\u9ad8\u7ea7\u89e3\u9898\u6280\u5de7\uff0c\u6bd4\u5982\u6784\u9020\u6cd5\u3001\u5f52\u7eb3\u6cd5\u3001\u53cd\u8bc1\u6cd5\u7b49\uff0c\u8fd9\u4e9b\u5728\u89e3\u51b3\u590d\u6742\u95ee\u9898\u65f6\u975e\u5e38\u6709\u7528\u3002\u540c\u65f6\uff0c\u5b66\u4f1a\u4ece\u4e0d\u540c\u89d2\u5ea6\u5ba1\u89c6\u95ee\u9898\uff0c\u57f9\u517b\u7075\u6d3b\u7684\u601d\u7ef4\u6a21\u5f0f\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">9. \u4fdd\u6301\u5065\u5eb7\u7684\u751f\u6d3b\u4e60\u60ef\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u786e\u4fdd\u5145\u8db3\u7684\u7761\u7720\u3001\u5747\u8861\u7684\u996e\u98df\u548c\u9002\u91cf\u7684\u8fd0\u52a8\uff0c\u826f\u597d\u7684\u8eab\u4f53\u72b6\u6001\u662f\u652f\u6301\u9ad8\u5f3a\u5ea6\u5b66\u4e60\u548c\u6bd4\u8d5b\u7684\u57fa\u7840\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">10. \u5efa\u7acb\u9519\u9898\u96c6\uff1a<\/h3>\r\n\r\n\r\n\r\n<p>\u5c06\u7ec3\u4e60\u4e2d\u505a\u9519\u7684\u9898\u76ee\u6574\u7406\u6210\u518c\uff0c\u5b9a\u671f\u56de\u987e\u5e76\u91cd\u65b0\u89e3\u7b54\uff0c\u76f4\u5230\u5b8c\u5168\u638c\u63e1\u76f8\u5173\u7684\u77e5\u8bc6\u70b9\u548c\u89e3\u9898\u65b9\u6cd5\u3002<\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\">11. 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class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e5%86%99%e5%9c%a8%e6%9c%80%e5%90%8e%ef%bc%9a\"><\/span>\u5199\u5728\u6700\u540e\uff1a<span class=\"ez-toc-section-end\"><\/span><\/h2>\r\n\r\n\r\n\r\n<p>\u901a\u8fc7\u672c\u6587\u7684\u9605\u8bfb\uff0c\u5927\u5bb6\u53ef\u4ee5\u5bf9ARML\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\u7684\u6bd4\u8d5b\u8bbe\u7f6e\uff0c\u8003\u8bd5\u5185\u5bb9\uff0c\u8003\u8bd5\u5f62\u5f0f\u6709\u6240\u4e86\u89e3\uff0c\u4e5f\u53ef\u4ee5\u83b7\u5f972025 ARML\u771f\u9898\u4e0e\u7b54\u6848\u89e3\u6790\u7684\u514d\u8d39\u8d44\u6e90\uff0c\u5305\u62ecPDF\u7248\u771f\u9898\u4e0b\u8f7d\u3002\u6709\u52a9\u4e8e\u5927\u5bb6\u4e86\u89e3ARML\u7684\u9898\u578b\u5417\uff0c\u8003\u8bd5\u96be\u5ea6\u548c\u8003\u5bdf\u65b9\u5411\u3002\u6b64\u5916\uff0c\u6211\u4eec\u6574\u7406\u51fa\u4e86\u66f4\u591a\u771f\u9898\u83b7\u53d6\u7684\u9014\u5f84\uff0c\u8fd8\u4e3a\u5927\u5bb6\u63d0\u4f9b\u4e86\u4e00\u4e9b\u5907\u8003\u6307\u5357\uff0c\u5907\u8003\u65b9\u6cd5\u3002\u5e2e\u52a9\u5927\u5bb6\u5bf9\u8d5b\u4e8b\u6709\u6240\u4e86\u89e3\u7684\u540c\u65f6\uff0c\u80fd\u62e5\u6709\u66f4\u5e7f\u9614\u7684\u601d\u8def\u548c\u51c6\u5907\uff0c\u8fdb\u800c\u79d1\u5b66\u89c4\u5212\u540e\u7eed\u7684\u5b66\u4e60\u9014\u5f84\u3002<\/p>\r\n\r\n\r\n\r\n<p>\u5728\u6570\u5b66\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u6709\u4efb\u4f55\u95ee\u9898\uff0c\u90fd\u6b22\u8fce\u5927\u5bb6\u6765\u8bd5\u542c<a href=\"https:\/\/www.wukongsch.com\/zh\/math\/\">\u609f\u7a7a\u6570\u5b66<\/a>\u7684\u8bfe\u7a0b\uff0c\u76f8\u4fe1\u6211\u4eec\u4e13\u4e1a\u7684\u8001\u5e08\u80fd\u591f\u5f88\u597d\u5730\u89e3\u51b3\u5927\u5bb6\u7684\u95ee\u9898\uff01<\/p>\r\n\r\n\r\n<div class=\"retention-card-new\" data-lang=\"zh\" data-subject=\"MATH\" data-btnName=\"\u7acb\u5373\u514d\u8d39\u8bd5\u542c\" data-subTitle=\"\u9002\u5408\u5168\u74031-12\u5e74\u7ea7\u5b66\u751f\">\r\n    <div class=\"retention-card-l\">\r\n        <div class=\"trustpilot-image\"><\/div>\r\n        <h3><p>\u609f\u7a7a\u56fd\u9645\u6570\u5b66<br \/>\n<span>\u8ba9\u6570\u5b66\u4e4b\u5149\u7167\u4eae\u6bcf\u4e00\u4e2a\u5b69\u5b50\uff01<\/span><\/p>\n<\/h3>\r\n        <p>\u9002\u5408\u5168\u74031-12\u5e74\u7ea7\u5b66\u751f<\/p>\r\n        <a class=\"retention-card-button is-point\" href=\"https:\/\/www.wukongsch.com\/zh\/independent-appointment\/?subject=math&amp;l=c87d1e8c-ec8e-4a2a-83b7-84e0af53d81f&amp;booking_triggerevent=BLOG_DETAIL_MODEL_CTA_BUTTON\" data-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u70b9\u51fb\" data-event=\"C_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" data-expose-buttonname=\"\u7acb\u5373\u9884\u7ea6\u6309\u94ae\u66dd\u5149\" data-expose-event=\"D_Blog_BLOG_DETAIL_MIDDLE_CTA_BUTTON\" target=\"_blank\" title=\"\u7acb\u5373\u514d\u8d39\u8bd5\u542c\">\r\n            \u7acb\u5373\u514d\u8d39\u8bd5\u542c\r\n        <\/a>\r\n    <\/div>\r\n    <div class=\"retention-card-r\"><\/div>\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>ARML\uff0c\u5168\u79f0\u4e3aThe American Regions Mathematics 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Contest\u664b\u7ea7\u6311\u6218\u8d5b\u88ab\u6b63\u5f0f\u5f15\u5165\u4e2d\u56fd\uff0c\u4e0e\u7f8e\u56fd\u540c\u6b65\u5f00\u8003\u3001\u540c\u6837\u8bd5\u9898\u3001\u540c\u6837\u8d5b\u5236\u3001\u540c\u7b49\u8bc4\u5206\u3001\u540c\u65f6\u516c\u5e03\u6210\u7ee9\u4ee5\u53ca\u5168\u7403\u7edf\u4e00\u6392\u540d\u3002 \u6211\u4eec\u6765\u5177\u4f53\u4e86\u89e3\u4e00\u4e0bARML\u533a\u57df\u8d5b\uff0c\u664b\u7ea7\u8d5b\u548c\u56fd\u9645\u8d5b\u3002 \u00b7\u533a\u57df\u8d5b\uff1aARML \u533a\u57df\u8d5b\u4ee5\u56e2\u961f\u4e3a\u5355\u4f4d\u53c2\u8d5b\uff0c6\u4eba\u4e3a\u4e00\u961f\uff0c\u8d5b\u5236\u8bbe\u7f6e\u65b9\u9762\u5305\u542b\u4e86\u4e2a\u4eba\u8d5b\u3001\u56e2\u961f\u8d5b\u3001\u63a5\u529b\u8d5b\u3001\u5e73\u5c40\u8d5b\u591a\u79cd\u7c7b\u578b\u3002 \u00b7\u664b\u7ea7\u8d5b\uff1aARML \u664b\u7ea7\u6311\u6218\u8d5b \u4ec5\u9080\u8bf7\u5728ARML\u533a\u57df\u8d5b\u4e2d\u83b7\u5f97\u4f18\u5f02\u6210\u7ee9\u56e2\u961f\u53c2\u8d5b\uff0c\u4ee5\u56e2\u961f\u5f62\u5f0f\u53c2\u8d5b\uff0c\u9898\u578b\u5168\u90e8\u4e3a\u8bc1\u660e\u9898\u3002\u664b\u7ea7\u6311\u6218\u8d5b\u975e\u5e38\u65b0\u9896\uff0c\u901a\u5e38\u662f\u4ee5\u67d0\u70ed\u95e8\u793e\u4f1a\u8bdd\u9898\u3001\u8bae\u9898\u4e3a\u5207\u5165\u70b9\uff0c\u8ba9\u53c2\u8d5b\u56e2\u961f\u7528\u6570\u5b66\u7684\u65b9\u6cd5\u89e3\u51b3\u751f\u6d3b\u4e2d\u7684\u5b9e\u9645\u95ee\u9898\uff0c\u5f3a\u8c03\u6570\u5b66\u7684\u5e94\u7528\u6027\u3002 \u00b7\u56fd\u9645\u8d5b\uff1a\u4e3b\u8981\u5728\u7f8e\u56fd\u5bbe\u5915\u6cd5\u5c3c\u4e9a\u5927\u5b66\u3001\u4f50\u6cbb\u4e9a\u5dde\u7acb\u5927\u5b66\u3001\u7231\u8377\u534e\u5dde\u7acb\u5927\u5b66\u548c\u4f4d\u4e8e\u62c9\u65af\u7ef4\u52a0\u65af\u7684\u5185\u534e\u8fbe\u5dde\u7acb\u5927\u5b66\u56db\u6240\u5927\u5b66\u540c\u65f6\u4e3e\u529e\u3002 \u76ee\u524d\u56fd\u5185\u5b66\u751f\u53ea\u80fd\u53c2\u52a0\u533a\u57df\u8d5b\uff08Local\uff09\u4e0e\u664b\u7ea7\u6311\u6218\u8d5b\uff08Power Round I &amp;Power Round II\uff09\uff0c\u90e8\u5206\u6d77\u5916\u9ad8\u4e2d\u5c31\u8bfb\u5b66\u751f\u53ef\u53c2\u52a0\u56fd\u9645\u8d5b\u3002 ARML\u6570\u5b66\u533a\u57df\u6311\u6218\u8d5b\u662f\u56e2\u961f\u8d5b\uff0c\u4ee5\u7b80\u7b54\u9898\u4e3a\u4e3b\uff0c\u96be\u5ea6\u76f8\u5f53\u4e8eAIME\u6c34\u5e73\uff0c\u5f3a\u8c03\u6570\u5b66\u601d\u7ef4\u7684\u540c\u65f6\u4e5f\u5f3a\u8c03\u5b66\u751f\u7684\u8868\u8fbe\u80fd\u529b\uff0c\u6bcf\u9053\u9898\u96be\u5ea6\u8f83\u4e3a\u5747\u8861\u3002 ARML\u533a\u57df\u6311\u6218\u8d5b\u5185\u5bb9\u5305\u62ec\u51e0\u4f55\uff0c\u4ee3\u6570\uff0c\u7ec4\u5408\u6570\u5b66\uff0c\u6982\u7387\uff0c\u4e0d\u7b49\u5f0f\u7b49\uff0c\u7b80\u7b54\u4e3a\u4e3b\uff0c\u4ee56 \u4eba\u5236\u56e2\u961f\u5f62\u5f0f\u53c2\u8d5b\uff0c\u66f4\u52a0\u6ce8\u91cd\u6570\u5b66\u7684\u8da3\u5473\u6027\u3001\u8de8\u5b66\u79d1\u8fd0\u7528\u7684\u7efc\u5408\u6027\u4ee5\u53ca\u540c\u5b66\u4eec\u56e2\u961f\u534f\u4f5c\u80fd\u529b\u3002\u56e0\u6b64\u5728\u8d5b\u5236\u65b9\u9762\u5305\u542b\u4e86\u4e2a\u4eba\u8d5b\u3001\u56e2\u961f\u8d5b\u3001\u63a5\u529b\u8d5b\u3001\u5e73\u5c40\u8d5b\u3002\u6bd4\u8d5b\u8fc7\u7a0b\u7684\u4e92\u52a8\u6027\u975e\u5e38\u9ad8\uff0c\u6c1b\u56f4\u5f88\u6fc0\u70c8\u3001\u6709\u8da3\uff0c\u975e\u5e38\u53d7\u53c2\u8d5b\u540c\u5b66\u6b22\u8fce\u3002 \u00b7 \u56e2\u961f\u6311\u6218\uff1a \u517115\u9053\u7b80\u7b54\u9898\uff0c\u6bcf\u7b54\u5bf94\u5206\uff0c\u6ee1\u520660\u5206\u3002 \u00b7 \u4e2a\u4eba\u6311\u6218\uff1a \u51715\u8f6e\uff0c\u6bcf\u8f6e\u5f00\u59cb2\u9053\u7b80\u7b54\u9898\uff0c\u65f6\u957f10\u5206\u949f\u3002\u5728\u4e00\u8f6e\u7ed3\u675f\u65f6\uff0c\u5c06\u5206\u53d1\u4e0b\u4e00\u8f6e\u7684\u95ee\u9898\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u6b63\u786e\u7b54\u6848\uff0c\u5c06\u83b7\u5f97 1\u5206\u3002\u53ef\u7528\u7684\u6700\u9ad8\u5206\u6570\u4e3a 60 \u5206\u3002 \u00b7 \u5e73\u5c40\u52a0\u65f6\u6311\u6218\uff1a 10\u5206\u949f\u51b3\u80dc\u5c40\uff0c\u53ea\u5305\u542b\u4e00\u4e2a\u95ee\u9898\uff0c\u5f71\u54cd\u4e2a\u4eba\u6392\u540d\uff0c\u4e0d\u5f71\u54cd\u56e2\u961f\u7efc\u5408\u5f97\u5206\u3002 \u00b7 \u63a5\u529b\u6311\u6218\uff1a \u51713\u8f6e\u3002\u7ec4\u54581\u8ba1\u7b97\u540e\u5c06\u7b54\u6848\u7ed9\u7ec4\u54582\uff0c\u7ec4\u54582\u6839\u636e\u8be5\u7b54\u6848\u89e3\u7b54\u9898\u76ee\uff0c\u518d\u5c06\u81ea\u5df1\u7684\u7b54\u6848\u4f20\u9012\u7ed9\u7ec4\u54583\u3002 \u7b2c\u4e00\u8f6e\u4e3a2\u4eba\u63a5\u529b\uff0c\u56e2\u961f6\u4eba\u5206\u4e3a\u4e09\u7ec4\u5206\u522b\u7b54\u9898\uff0c\u6bcf\u7ec42\u4e2a\u95ee\u9898\uff1b \u7b2c\u4e8c\u8f6e\u4e3a3\u4eba\u63a5\u529b\uff0c\u56e2\u961f6\u4eba\u5206\u4e3a\u4e24\u7ec4\u5206\u522b\u7b54\u9898\uff0c\u6bcf\u7ec43\u4e2a\u95ee\u9898\uff1b \u7b2c\u4e09\u8f6e\u4e3a6\u4eba\u63a5\u529b\uff0c\u6bcf\u7ec46\u4e2a\u95ee\u9898\u3002 \u4e8c\u30012025 ARML\u7ade\u8d5b\u771f\u9898\uff08\u514d\u8d39\u4e0b\u8f7dPDF\u7248\uff09\u548c\u7b54\u6848\u89e3\u6790 \u4ee5\u4e0b\u542b\u67092025\u5e74ARML\u5404\u7c7b\u9898\u578b\u7684\u771f\u9898\u4e3e\u4f8b\u548c\u89e3\u6790\uff0c\u4ee5\u53ca\u5b8c\u6574\u7248\u771f\u9898\u548c\u7b54\u6848\u89e3\u6790\u7684PDF\uff0c\u4f9b\u5927\u5bb6\u514d\u8d39\u4e0b\u8f7d\u4f7f\u7528\u3002\u8fd9\u4e9b\u771f\u9898\u5c06\u5e2e\u52a9\u4f60\u56de\u987e\u7ade\u8d5b\u4e2d\u7684\u6bcf\u9053\u9898\u76ee\uff0c\u5e76\u68c0\u67e5\u81ea\u5df1\u7684\u89e3\u7b54\u3002\u65e0\u8bba\u4f60\u60f3\u590d\u4e60\u77e5\u8bc6\u8fd8\u662f\u8fdb\u884c\u8fdb\u4e00\u6b65\u7684\u8ba8\u8bba\uff0cARML\u771f\u9898\u90fd\u662f\u975e\u5e38\u6709\u4ef7\u503c\u7684\u8d44\u6e90\u3002 1.2025 ARML\u771f\u9898\u4e3e\u4f8b\u53ca\u89e3\u6790 \u00b7Team Round (\u56e2\u961f\u8d5b)\u771f\u9898\u4e3e\u4f8b The sum of three prime numbers is 134. Compute the greatest possible value for the difference between the greatest and the least of these three numbers. \u4e09\u4e2a\u8d28\u6570\u4e4b\u548c\u4e3a134\u3002\u8ba1\u7b97\u8fd9\u4e09\u4e2a\u8d28\u6570\u4e2d\u6700\u5927\u6570\u4e0e\u6700\u5c0f\u6570\u7684\u5dee\u7684\u6700\u5927\u53ef\u80fd\u503c\u3002 \u7b54\u6848\uff1a125 \u9898\u76ee\u96be\u5ea6\u5206\u6790\uff1a \u8fd9\u4e2a\u95ee\u9898\u5c5e\u4e8e\u6570\u5b66\u4e2d\u7684\u6570\u8bba\u9898\u76ee\uff0c\u5177\u4f53\u662f\u5173\u4e8e\u8d28\u6570\uff08prime numbers\uff09\u7684\u5e94\u7528\u3002\u96be\u5ea6\u9002\u4e2d\uff0c\u4e3b\u8981\u8003\u9a8c\u5b66\u751f\u5bf9\u4e8e\u8d28\u6570\u6982\u5ff5\u7684\u7406\u89e3\u3001\u5217\u4e3e\u8d28\u6570\u7684\u80fd\u529b\u4ee5\u53ca\u903b\u8f91\u63a8\u7406\u80fd\u529b\u3002\u96be\u70b9\u5728\u4e8e\u9700\u8981\u627e\u5230\u7b26\u5408\u6761\u4ef6\u7684\u4e09\u4e2a\u8d28\u6570\uff0c\u540c\u65f6\u8003\u8651\u8fd9\u4e09\u4e2a\u8d28\u6570\u4e4b\u548c\u4e3a\u7279\u5b9a\u503c\uff08134\uff09\u65f6\uff0c\u5982\u4f55\u8c03\u6574\u4ee5\u5f97\u5230\u6700\u5927\u5dee\u503c\u3002\u56e0\u4e3a\u8d28\u6570\u662f\u4e0d\u53ef\u5206\u89e3\u7684\u81ea\u7136\u6570\uff08\u9664\u4e861\u548c\u5b83\u672c\u8eab\u5916\u6ca1\u6709\u5176\u4ed6\u56e0\u6570\uff09\uff0c\u6240\u4ee5\u4e0d\u80fd\u901a\u8fc7\u7b80\u5355\u7684\u6570\u5b66\u516c\u5f0f\u76f4\u63a5\u6c42\u89e3\uff0c\u800c\u9700\u8981\u901a\u8fc7\u679a\u4e3e\u6216\u8005\u4e00\u5b9a\u7684\u7b56\u7565\u6765\u5c1d\u8bd5\u548c\u9a8c\u8bc1\u3002 \u601d\u8def\u4e0e\u89e3\u6790\uff1a \u7531\u4e8e\u4e09\u4e2a\u6570\u5b57\u4e4b\u548c\u4e3a\u5076\u6570\uff0c\u8fd9\u4e09\u4e2a\u6570\u5b57\u4e0d\u53ef\u80fd\u5168\u4e3a\u5947\u6570\u3002\u7531\u4e8e2\u662f\u552f\u4e00\u7684\u5076\u6570\u8d28\u6570\uff0c\u56e0\u6b64\u5fc5\u7136\u6709\u4e00\u4e2a\u6570\u5b57\u662f2\uff0c\u4e14\u8fd9\u4e2a\u6570\u5b57\u662f\u6700\u5c0f\u7684\u3002\u8bbe\u53e6\u5916\u4e24\u4e2a\u8d28\u6570\u4e3ap\u548cq\uff08p&lt;q\uff09\u3002\u4e8e\u662f\u6709p+q=134-2=132\uff0c\u8981\u60f3\u4f7fq-2\u7684\u503c\u5c3d\u53ef\u80fd\u5927\uff0c\u5c31\u9700\u8981p\u5c3d\u53ef\u80fd\u5c0f\u3002\u6ce8\u610f1\u4e0d\u662f\u8d28\u6570\uff0c\u6240\u4ee5p\u81f3\u5c11\u4e3a3\u3002 \u5982\u679cp=3\uff0c\u5219q=129=3\u00d743\uff0c\u8fd9\u4e0d\u662f\u8d28\u6570\u3002\u5982\u679cp=5\uff0c\u5219q=127\uff0c\u8fd9\u662f\u4e00\u4e2a\u8d28\u6570\u3002\u5bb9\u6613\u9a8c\u8bc12\u30013\u30015\u30017\u300111\u5747\u4e0d\u662f127\u7684\u56e0\u6570\u3002\u5982\u679c127\u4e0d\u662f\u8d28\u6570\uff0c\u90a3\u4e48\u5b83\u53ef\u4ee5\u8868\u793a\u4e3ad\u00d7j\uff08d\u548cj\u5747\u4e3a\u6574\u6570\uff0c\u4e141&lt;d&lt;127\uff09\u3002\u4f46\u56e0\u4e3ad\u4e0d\u80fd\u7b49\u4e8e2\u30013\u30015\u30017\u300111\uff0c\u8fd9\u610f\u5473\u7740d\u548c127\u7684\u6700\u5c0f\u516c\u56e0\u6570\u81f3\u5c11\u4e3a13\uff0c\u8fd9\u6837\u4e00\u6765127=d\u00d7j\u226513\u00d713=169\uff0c\u8fd9\u662f\u4e0d\u53ef\u80fd\u7684\u3002\u56e0\u6b64\uff0c127\u662fq\u53ef\u80fd\u53d6\u5230\u7684\u6700\u5927\u503c\uff0c\u6545\u6240\u6c42\u7684\u6700\u5927\u5dee\u503c\u4e3a127-2=125\u3002 \u00b7Individual Round (\u4e2a\u4eba\u8d5b)\u771f\u9898\u4e3e\u4f8b\u548c\u89e3\u6790 The original price of an item is N dollars. A store carrying this item has a sale in which every item is priced at a 10% discount.&#46;&#46;&#46;<\/p>\n","protected":false},"author":211806819,"featured_media":35894,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[132672],"tags":[137257,134602],"class_list":["post-33867","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-learning-zh","tag-us-math-competition-zh","tag-math-learning-zh"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>2025 ARML\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\u771f\u9898\u3001\u7b54\u6848\u89e3\u6790\uff01\u542b\u771f\u9898\u83b7\u53d6\u9014\u5f84\u4e0e\u5907\u8003\u6307\u5357 - WuKong Edu Blog<\/title>\n<meta name=\"description\" content=\"ARML\uff0c\u5168\u79f0\u4e3aThe American Regions Mathematics League\uff0c\u5373\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\uff0c\u662f\u4e00\u4e2a\u4e13\u4e3a\u9ad8\u4e2d\u751f\u8bbe\u8ba1\u7684\u3001\u5177\u6709\u9ad8\u6c34\u51c6\u548c\u9ad8\u542b\u91d1\u91cf\u7684\u6570\u5b66\u7ade\u8d5b\u3002\u662f\u5168\u7f8e\u5386\u53f2\u60a0\u4e45\u3001\u5f71\u54cd\u529b\u975e\u51e1\u7684\u56e2\u4f53\u8d5b\u5236\u56fd\u9645\u6570\u5b66\u8d5b\u4e8b\u4e4b\u4e00\uff0c\u8fd9\u9879\u7ade\u8d5b\u81ea1976\u5e74\u8d77\u4e3e\u529e\uff0c\u6bcf\u5e74\u5438\u5f15\u5168\u7f8e\u8fd1\u56db\u5343\u540d\u5b66\u751f\u53c2\u4e0e\uff0c\u662f\u7f8e\u56fd\u5386\u53f2\u6700\u4e3a\u60a0\u4e45\u4e14\u5f71\u54cd\u529b\u5e7f\u6cdb\u7684\u56e2\u4f53\u8d5b\u5236\u56fd\u9645\u6570\u5b66\u7ade\u8d5b\u4e4b\u4e00\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"2025 ARML\u7f8e\u56fd\u533a\u57df\u6570\u5b66\u8054\u8d5b\u771f\u9898\u3001\u7b54\u6848\u89e3\u6790\uff01\u542b\u771f\u9898\u83b7\u53d6\u9014\u5f84\u4e0e\u5907\u8003\u6307\u5357 - 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