{"id":29774,"date":"2024-04-04T08:30:00","date_gmt":"2024-04-04T00:30:00","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=29774"},"modified":"2025-12-03T14:10:08","modified_gmt":"2025-12-03T06:10:08","slug":"6-grade-mathematics","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/zh\/6-grade-mathematics-post-29774\/","title":{"rendered":"\u5c0f\u5b66\u516d\u5e74\u7ea7\u662f\u6570\u5b66\u5206\u6c34\u5cad\uff1f\u7cbe\u900930\u9053\u516d\u5e74\u7ea7\u6570\u5b66\u9898\uff08\u542b\u7b54\u6848\u89e3\u6790\uff09"},"content":{"rendered":"<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>\n<p>\u7f8e\u56fd\u516d\u5e74\u7ea7\uff0c\u662f\u5b69\u5b50\u6570\u5b66\u7684\u5206\u6c34\u5cad\u5417\uff1f\u5f88\u591a\u534e\u4eba\u5bb6\u957f\u90fd\u89c9\u5f97\uff1a\u5b69\u5b50\u5b66\u6821\u6570\u5b6695-100\u5206\uff0c\u5df2\u7ecf\u5f88\u597d\u4e86\u3002 \u53ef\u4e00\u65e6\u63a5\u89e6\u4e2d\u56fd\u540c\u9f84\u4eba\u7684\u9898\u76ee\uff0c\u5dee\u8ddd\u7acb\u523b\u663e\u73b0\uff0c\u5f80\u5f80\u5dee\u4e86\u6574\u65742\u5e74\uff01 \u516d\u5e74\u7ea7\u4e4b\u524d\u8fd8\u80fd\u8ffd\uff0c\u516d\u5e74\u7ea7\u4e4b\u540e\u5c31\u665a\u4e86\uff1a \u5b69\u5b50\u9a6c\u4e0a\u8981\u4e0aPre-Algebra\uff0c\u56fd\u5185\u5b69\u5b50\u65e9\u5df2\u9886\u5148\uff0c\u521d\u4e2d\u5f00\u59cb\u8d8a\u62c9\u8d8a\u5927\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e4%b8%ba%e4%bb%80%e4%b9%88%e5%b0%8f%e5%ad%a6%e5%85%ad%e5%b9%b4%e7%ba%a7%e6%98%af%e5%ad%a9%e5%ad%90%e6%95%b0%e5%ad%a6%e7%9a%84%e5%88%86%e6%b0%b4%e5%b2%ad%ef%bc%9f\"><\/span>\u4e3a\u4ec0\u4e48\u5c0f\u5b66\u516d\u5e74\u7ea7\u662f\u5b69\u5b50\u6570\u5b66\u7684\u5206\u6c34\u5cad\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5bf9\u7f8e\u56fd\u534e\u4eba\u5bb6\u957f\u6765\u8bf4\uff0c\u516d\u5e74\u7ea7\u4ece\u6765\u4e0d\u662f\u201c\u5c0f\u5b66\u6700\u540e\u4e00\u5e74\u201d\u90a3\u4e48\u8f7b\u677e\uff0c\u800c\u662f\u6574\u4e2aK-12\u6570\u5b66\u89c4\u5212\u91cc\u6700\u6b8b\u9177\u7684\u201c\u5206\u6c34\u5cad\u201d\u548c\u201c\u6700\u540e\u4e0a\u8f66\u70b9\u201d\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u8bfe\u7a0b\u96be\u5ea6\u65ad\u5d16\u5f0f\u4e0a\u5347 2026-2027\u5b66\u5e74\uff0c\u60a8\u7684\u5b69\u5b50\u5373\u5c06\u5347\u5165Grade 7\uff0c\u6559\u79d1\u4e66\u76f4\u63a5\u4ece\u201c\u5206\u6570\u3001\u5c0f\u6570\u3001\u7b80\u5355\u9762\u79ef\u201d\u8df3\u5230\uff1a\n<ul class=\"wp-block-list\">\n<li>\u8d1f\u6570\u4e0e\u7edd\u5bf9\u503c<\/li>\n\n\n\n<li>\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u4e0e\u4e0d\u7b49\u5f0f<\/li>\n\n\n\n<li>\u6bd4\u4f8b\u4e0e\u767e\u5206\u6bd4\u8fdb\u9636\u5e94\u7528<\/li>\n\n\n\n<li>\u7edf\u8ba1\u4e0e\u6982\u7387\u521d\u6b65 \u8fd9\u51e0\u7ae0\u5c31\u662f\u540e\u9762Algebra 1\u3001Geometry\u3001SAT\u6570\u5b66800\u7684\u6839\u57fa\u3002 \u5b69\u5b50\u5982\u679c\u516d\u5e74\u7ea7\u8fd8\u53ea\u4f1aCommon Core\u90a3\u70b9\u6d45\u663e\u5185\u5bb9\uff0c\u4e03\u5e74\u7ea7\u5f00\u5b66\u4e24\u5468\u5c31\u4f1a\u88ab\u8001\u5e08\u7529\u4e0b\u4e00\u5927\u7247\uff0c\u4fe1\u5fc3\u76f4\u63a5\u5d29\u76d8\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7ade\u8d5b\u7a97\u53e3\u4e00\u6b21\u6027\u5173\u95ed AMC 8\u7b2c\u4e00\u6b21\u6b63\u8d5b\u673a\u4f1a\u5c31\u5728\u516d\u5e74\u7ea7\u4e0b\u5b66\u671f\u6216\u4e03\u5e74\u7ea7\u4e0a\u5b66\u671f\uff082026-2027\u8d5b\u5b63\uff09\u3002\n<ul class=\"wp-block-list\">\n<li>110\u5206\u4ee5\u4e0b\uff1a\u57fa\u672c\u544a\u522b\u9876\u5c16\u7ade\u8d5b\u5708<\/li>\n\n\n\n<li>120\u5206\u4ee5\u4e0a\uff1a\u624d\u591f\u8d44\u683c\u516b\u5e74\u7ea7\u51b2AMC 10\u3001\u4e5d\u5e74\u7ea7\u51b2AIME \u65e0\u6570MathCounts\u5dde\u5956\u3001Regeneron STS\u5165\u56f4\u8005\uff0c\u90fd\u662f\u5728\u516d\u5e74\u7ea7\u628a\u6574\u6570\u3001\u8ba1\u6570\u3001\u51e0\u4f55\u3001\u4ee3\u6570\u5165\u95e8\u5168\u90e8\u5403\u900f\uff0c\u624d\u5728\u4e03\u516b\u5e74\u7ea7\u5b9e\u73b0\u964d\u7ef4\u6253\u51fb\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u4e0e\u56fd\u5185\u540c\u9f84\u4eba\u7684\u5dee\u8ddd\u5728\u8fd9\u534a\u5e74\u5f7b\u5e95\u56fa\u5316 \u56fd\u5185\u666e\u901a\u516c\u7acb\u5c0f\u5b66\u516d\u5e74\u7ea7\u5df2\u7ecf\u5728\u7cfb\u7edf\u5b66\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6574\u5f0f\u52a0\u51cf\u3001\u56e0\u5f0f\u5206\u89e3<\/li>\n\n\n\n<li>\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b<\/li>\n\n\n\n<li>\u5706\u3001\u6247\u5f62\u3001\u65cb\u8f6c\u4f53<\/li>\n\n\n\n<li>\u7b80\u5355\u7ec4\u5408\u4e0e\u6982\u7387 \u76f8\u5f53\u4e8e\u7f8e\u56fd\u516b\u4e0b\u5230\u4e5d\u5e74\u7ea7\u5185\u5bb9\u3002 \u516d\u5e74\u7ea7\u7ed3\u675f\u65f6\u5dee\u8ddd\u8fd8\u662f\u201c\u53ef\u4ee5\u8ffd\u76841-2\u5e74\u201d\uff0c\u5230\u516b\u5e74\u7ea7\u5c31\u53d8\u6210\u201c\u51e0\u4e4e\u4e0d\u53ef\u9006\u76844-5\u5e74\u201d\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u85e4\u6821\u4e0e\u9876\u7ea7\u79c1\u7acb\u4e2d\u5b66\u5f00\u59cb\u6084\u6084\u7b5b\u4eba Phillips Academy\u3001St. Mark\u2019s\u3001Choate\u7b49\u9876\u5c16\u5bc4\u5bbf\u5b66\u6821\uff0c \u5f55\u53d6\u65f6\u4f1a\u91cd\u70b9\u770b\u516d\u5e74\u7ea7\u672b\u5230\u4e03\u5e74\u7ea7\u7684SSAT\u6570\u5b66\u4e0a\u4f4d\u5206\u6570\u548cAMC 8\u6210\u7ee9\u3002 \u5f88\u591a\u88ab\u62d2\u7684\u5b69\u5b50\uff0cGPA 4.0\u3001\u82f1\u8bed\u7206\u8868\uff0c\u5c31\u662f\u56e0\u4e3a\u6570\u5b66\u6bb5\u4f4d\u4e0d\u591f\uff0c\u88ab\u5224\u5b9a\u201c\u6ca1\u6709\u5b66\u672f\u5929\u82b1\u677f\u201d\u3002<\/li>\n\n\n\n<li>\u5bb6\u957f\u6700\u540e\u4e00\u6b21\u80fd\u201c\u8f7b\u677e\u8865\u6551\u201d\u7684\u673a\u4f1a \u516d\u5e74\u7ea7\u5b69\u5b50\u6bcf\u5468\u4f5c\u4e1a\u91cf\u8fd8\u4e0d\u5927\uff0c\u8bfe\u5916\u6d3b\u52a8\u8fd8\u6ca1\u94fa\u6ee1\uff0c \u6bcf\u5468\u62ff\u51fa4-6\u5c0f\u65f6\u7cfb\u7edf\u8d85\u524d\uff0c\u5b8c\u5168\u6765\u5f97\u53ca\u628a\u4e03\u5e74\u7ea7\u3001\u516b\u5e74\u7ea7\u5185\u5bb9\u63d0\u524d\u5403\u6389\u3002 \u4e03\u5e74\u7ea7\u4e4b\u540e\uff0c\u4f5c\u4e1a+AP\u9884\u5907+\u8fd0\u52a8+\u4e49\u5de5\u4e00\u5806\uff0c\u5bb6\u957f\u518d\u60f3\u8865\u5c31\u53ea\u80fd\u9ad8\u4ef7\u8bf7\u4e00\u5bf9\u4e00\uff0c\u6027\u4ef7\u6bd4\u6781\u4f4e\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u6240\u4ee5\u6e7e\u533a\u3001\u7ebd\u7ea6\u3001\u6ce2\u58eb\u987f\u7684\u534e\u4eba\u5bb6\u957f\u5708\u91cc\u6d41\u4f20\u4e00\u53e5\u8bdd\uff1a \u201c\u516d\u5e74\u7ea7\u662f\u6570\u5b66\u7684\u6700\u540e\u9ec4\u91d16\u4e2a\u6708\uff0c\u6293\u4f4f\u5c31\u80fd\u8eba\u8d62\uff0c\u9519\u8fc7\u5c31\u53ea\u80fd\u966a\u8dd1\u3002\u201d\u4e3a\u4e86\u8ba9\u60a8\u7acb\u523b\u3001\u4eb2\u773c\u770b\u5230\u5b69\u5b50\u76ee\u524d\u7684\u771f\u5b9e\u6570\u5b66\u6c34\u5e73\uff0c \u609f\u7a7a\u6559\u80b2\u7cbe\u5fc3\u6574\u7406\u4e8630\u9053\u7531\u6d45\u5165\u6df1\u7684\u516d\u5e74\u7ea7\u6570\u5b66\u771f\u9898\uff0c\u5feb\u8ba9\u4f60\u7684\u5b69\u5b50\u6765\u8bd5\u8bd5\u5427\uff01<\/p>\n\n\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>\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"1000\" height=\"640\" src=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/04\/image-383.png\" alt=\"\" class=\"wp-image-55570\" srcset=\"https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/04\/image-383.png 1000w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/04\/image-383-300x192.png 300w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/04\/image-383-768x492.png 768w, https:\/\/wp-more.wukongedu.net\/blog\/wp-content\/uploads\/2024\/04\/image-383-920x589.png 920w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e7%ac%ac%e4%b8%80%e9%83%a8%e5%88%86%ef%bc%9a%e5%9f%ba%e7%a1%80%e8%ae%a1%e7%ae%97%e4%b8%8e%e6%a6%82%e5%bf%b5%ef%bc%8810%e9%a2%98%ef%bc%89\"><\/span>\u7b2c\u4e00\u90e8\u5206\uff1a\u57fa\u7840\u8ba1\u7b97\u4e0e\u6982\u5ff5\uff0810\u9898\uff09<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u5206\u6570\u56db\u5219\u8fd0\u7b97<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u8ba1\u7b97 $3 \\frac{1}{2} &#8211; 1 \\frac{3}{4} + \\frac{5}{8}$<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u5c06\u5e26\u5206\u6570\u8f6c\u6362\u4e3a\u5047\u5206\u6570\u6216\u7edf\u4e00\u901a\u5206\u540e\u518d\u8fdb\u884c\u52a0\u51cf\u3002<\/p>\n\n\n\n<p>$3 \\frac{1}{2} = \\frac{7}{2} = \\frac{28}{8}$<\/p>\n\n\n\n<p>$1 \\frac{3}{4} = \\frac{7}{4} = \\frac{14}{8}$<\/p>\n\n\n\n<p>\u539f\u5f0f $= \\frac{28}{8} &#8211; \\frac{14}{8} + \\frac{5}{8} = \\frac{28 &#8211; 14 + 5}{8} = \\frac{19}{8}$<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $2 \\frac{3}{8}$ \u6216 $\\frac{19}{8}$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u767e\u5206\u6570\u4e0e\u5c0f\u6570\u4e92\u5316<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u5c06 $0.085$ \u8f6c\u6362\u4e3a\u767e\u5206\u6570\uff0c\u5e76\u5c06 $125%$ \u8f6c\u6362\u4e3a\u5c0f\u6570\u3002<\/p>\n\n\n\n<p><strong>\u89e3\u6790\uff1a<\/strong> \u5c0f\u6570\u8f6c\u767e\u5206\u6570\uff0c\u5c0f\u6570\u70b9\u5411\u53f3\u79fb\u52a8\u4e24\u4f4d\u5e76\u52a0\u767e\u5206\u53f7\uff1b\u767e\u5206\u6570\u8f6c\u5c0f\u6570\uff0c\u53bb\u6389\u767e\u5206\u53f7\uff0c\u5c0f\u6570\u70b9\u5411\u5de6\u79fb\u52a8\u4e24\u4f4d\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $8.5%$ \u548c $1.25$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u5012\u6570\u6982\u5ff5<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> $\\frac{5}{7}$ \u7684\u5012\u6570\u4e0e $0.2$ \u7684\u5012\u6570\u76f8\u4e58\uff0c\u79ef\u662f\u591a\u5c11\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a $\\frac{5}{7}$ \u7684\u5012\u6570\u662f $\\frac{7}{5}$\uff1b$0.2 = frac{1}{5}$\uff0c\u5176\u5012\u6570\u662f $5$\u3002<\/p>\n\n\n\n<p>\u4e58\u79ef\u4e3a $\\frac{7}{5} \\times 5 = 7$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $7$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u6bd4\u7684\u5316\u7b80<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u5c06\u6bd4 $\\frac{3}{4} : 0.75$ \u5316\u4e3a\u6700\u7b80\u5355\u7684\u6574\u6570\u6bd4\u3002<\/p>\n\n\n\n<p><strong>\u89e3\u6790\uff1a<\/strong> $0.75 = \\frac{3}{4}$\u3002\u539f\u6bd4\u4e3a $\\frac{3}{4} : \\frac{3}{4}$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $1:1$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. \u6c42\u767e\u5206\u6570<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> $15$ \u662f $60$ \u7684\u767e\u5206\u4e4b\u51e0\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u6c42\u201c\u7532\u662f\u4e59\u7684\u767e\u5206\u4e4b\u51e0\u201d\u7528\u7b97\u5f0f $\\text{\u7532} \\div \\text{\u4e59} \\times 100%$\u3002<\/p>\n\n\n\n<p>$15 \\div 60 = 0.25$<\/p>\n\n\n\n<p>$0.25 \\times 100% = 25%$<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $25%$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6. \u89e3\u7b80\u5355\u65b9\u7a0b<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u89e3\u65b9\u7a0b\uff1a $x &#8211; \\frac{2}{5} x = 12$<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a $\\frac{5}{5} x &#8211; \\frac{2}{5} x = 12 \\implies \\frac{3}{5} x = 12$<\/p>\n\n\n\n<p>$x = 12 \\times \\frac{5}{3} = 4 \\times 5 = 20$<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $x = 20$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7. \u5706\u7684\u5468\u957f\u4e0e\u9762\u79ef<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u4e2a\u5706\u5f62\u82b1\u575b\u7684\u76f4\u5f84\u662f $8$ \u7c73\uff0c\u6c42\u5b83\u7684\u5468\u957f\u3002\uff08$pi$ \u53d6 $3.14$\uff09<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u5468\u957f $C = \\pi d$\u3002<\/p>\n\n\n\n<p>$C = 3.14 \\times 8 = 25.12$ \u7c73\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $25.12$ \u7c73<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">8. \u7acb\u4f53\u56fe\u5f62\u4f53\u79ef<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u4e2a\u957f\u65b9\u4f53\u957f $5$ \u5398\u7c73\uff0c\u5bbd $4$ \u5398\u7c73\uff0c\u9ad8 $3$ \u5398\u7c73\uff0c\u5b83\u7684\u4f53\u79ef\u662f\u591a\u5c11\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u957f\u65b9\u4f53\u4f53\u79ef $V = \\text{\u957f} \\times \\text{\u5bbd} \\times \\text{\u9ad8}$\u3002<\/p>\n\n\n\n<p>$V = 5 \\times 4 \\times 3 = 60$ \u7acb\u65b9\u5398\u7c73\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $60 \\text{ cm}^3$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">9. \u6bd4\u7684\u5e94\u7528<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u5982\u679c $A:B = 3:5$\uff0c\u4e14 $A+B=40$\uff0c\u6c42 $B$ \u7684\u503c\u3002<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u603b\u4efd\u6570\u662f $3+5=8$ \u4efd\u3002 $1$ \u4efd\u662f $40 \\div 8 = 5$\u3002<\/p>\n\n\n\n<p>$B$ \u5360 $5$ \u4efd\uff0c\u6240\u4ee5 $B = 5 times 5 = 25$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $25$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">10. \u6247\u5f62\u9762\u79ef\u5360\u5706\u9762\u79ef\u7684\u6bd4\u4f8b<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u4e2a\u6247\u5f62\u7684\u5706\u5fc3\u89d2\u662f $90$ \u5ea6\uff0c\u5b83\u7684\u9762\u79ef\u5360\u6240\u5728\u5706\u9762\u79ef\u7684\u767e\u5206\u4e4b\u51e0\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u5706\u5fc3\u89d2 $90$ \u5ea6\u5360 $360$ \u5ea6\u7684 $\\frac{90}{360} = \\frac{1}{4}$\u3002<\/p>\n\n\n\n<p>$\\frac{1}{4} = 25%$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $25%$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e7%ac%ac%e4%ba%8c%e9%83%a8%e5%88%86%ef%bc%9a%e4%b8%ad%e7%ad%89%e5%ba%94%e7%94%a8%e9%a2%98%ef%bc%8810%e9%a2%98%ef%bc%89\"><\/span>\u7b2c\u4e8c\u90e8\u5206\uff1a\u4e2d\u7b49\u5e94\u7528\u9898\uff0810\u9898\uff09<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">11. \u5206\u6570\u4e58\u6cd5\u5e94\u7528<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u74f6\u679c\u6c41\u6709 $480 \\text{ ml}$\u3002\u5c0f\u660e\u559d\u4e86\u8fd9\u74f6\u679c\u6c41\u7684 $\\frac{1}{3}$\uff0c\u5c0f\u7ea2\u559d\u4e86\u5269\u4e0b\u7684 $frac{1}{2}$\u3002\u5c0f\u7ea2\u559d\u4e86\u591a\u5c11\u679c\u6c41\uff1f<\/p>\n\n\n\n<p><strong>\u89e3\u6790\uff1a<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\u5c0f\u660e\u559d\u540e\u5269\u4e0b\uff1a $480 \\times (1 &#8211; \\frac{1}{3}) = 480 \\times \\frac{2}{3} = 320 \\text{ ml}$\u3002<\/li>\n\n\n\n<li>\u5c0f\u7ea2\u559d\u4e86\u5269\u4e0b\u7684 $\\frac{1}{2}$\uff1a $320 \\times \\frac{1}{2} = 160 text{ ml}$\u3002<\/li>\n<\/ol>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $160 \\text{ ml}$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">12. \u767e\u5206\u6570\u51cf\u5c11\u95ee\u9898<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u4ef6\u5916\u5957\u539f\u4ef7 $120$ \u7f8e\u5143\uff0c\u73b0\u5728\u6253\u516b\u6298\u51fa\u552e\u3002\u6bd4\u539f\u4ef7\u4fbf\u5b9c\u4e86\u591a\u5c11\u7f8e\u5143\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u6253\u516b\u6298\u610f\u5473\u7740\u73b0\u4ef7\u662f\u539f\u4ef7\u7684 $80%$\u3002\u4fbf\u5b9c\u4e86 $1 &#8211; 80% = 20%$\u3002<\/p>\n\n\n\n<p>\u4fbf\u5b9c\u7684\u91d1\u989d\uff1a $120 \\times 20% = 120 \\times 0.2 = 24$ \u7f8e\u5143\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $24$ \u7f8e\u5143<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">13. \u6bd4\u7684\u5e94\u7528\uff08\u6df7\u5408\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u67d0\u73ed\u7537\u751f\u4eba\u6570\u4e0e\u5973\u751f\u4eba\u6570\u7684\u6bd4\u662f $5:4$\uff0c\u5df2\u77e5\u7537\u751f\u6bd4\u5973\u751f\u591a $3$ \u4eba\uff0c\u8fd9\u4e2a\u73ed\u5171\u6709\u591a\u5c11\u4eba\uff1f<\/p>\n\n\n\n<p><strong>\u89e3\u6790\uff1a<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\u7537\u751f\u6bd4\u5973\u751f\u591a $5-4=1$ \u4efd\u3002<\/li>\n\n\n\n<li>$1$ \u4efd\u5bf9\u5e94 $3$ \u4eba\u3002<\/li>\n\n\n\n<li>\u5168\u73ed\u603b\u4efd\u6570 $5+4=9$ \u4efd\u3002<\/li>\n\n\n\n<li>\u5168\u73ed\u4eba\u6570\uff1a $3 \\times 9 = 27$ \u4eba\u3002<\/li>\n<\/ol>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $27$ \u4eba<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">14. \u5de5\u7a0b\u95ee\u9898\uff08\u5408\u4f5c\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u9879\u5de5\u4f5c\uff0c\u7532\u5355\u72ec\u5b8c\u6210\u9700\u8981 $10$ \u5929\uff0c\u4e59\u5355\u72ec\u5b8c\u6210\u9700\u8981 $15$ \u5929\u3002\u4e24\u4eba\u5408\u4f5c\uff0c\u51e0\u5929\u53ef\u4ee5\u5b8c\u6210\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u8bbe\u5de5\u4f5c\u603b\u91cf\u4e3a $1$\u3002<\/p>\n\n\n\n<p>\u7532\u7684\u6548\u7387\uff1a $\\frac{1}{10}$\uff0c\u4e59\u7684\u6548\u7387\uff1a $\\frac{1}{15}$\u3002<\/p>\n\n\n\n<p>\u5408\u4f5c\u6548\u7387\uff1a $\\frac{1}{10} + \\frac{1}{15} = \\frac{3}{30} + \\frac{2}{30} = \\frac{5}{30} = \\frac{1}{6}$\u3002<\/p>\n\n\n\n<p>\u5b8c\u6210\u6240\u9700\u65f6\u95f4\uff1a $1 \\div \\frac{1}{6} = 6$ \u5929\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $6$ \u5929<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">15. \u6d53\u5ea6\u95ee\u9898<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> $40 \\text{ g}$ \u76d0\u6eb6\u89e3\u5728 $160 \\text{ g}$ \u6c34\u4e2d\uff0c\u6c42\u76d0\u6c34\u7684\u542b\u76d0\u767e\u5206\u6bd4\uff08\u6d53\u5ea6\uff09\u3002<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u76d0\u6c34\u603b\u8d28\u91cf\uff1a $40 + 160 = 200 \\text{ g}$\u3002<\/p>\n\n\n\n<p>\u542b\u76d0\u767e\u5206\u6bd4\uff1a $\\frac{40}{200} \\times 100% = \\frac{1}{5} \\times 100% = 20%$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $20%$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">16. \u5706\u67f1\u7684\u8868\u9762\u79ef<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u4e2a\u6ca1\u6709\u76d6\u5b50\u7684\u5706\u67f1\u5f62\u6c34\u6876\uff0c\u5e95\u9762\u534a\u5f84\u662f $2$ \u5206\u7c73\uff0c\u9ad8\u662f $5$ \u5206\u7c73\u3002\u6c42\u5236\u4f5c\u8fd9\u4e2a\u6c34\u6876\u81f3\u5c11\u9700\u8981\u591a\u5c11\u5e73\u65b9\u5206\u7c73\u7684\u6750\u6599\uff1f\uff08$\\pi$ \u53d6 $3$\uff09<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u5236\u4f5c\u6750\u6599\u9762\u79ef $=$ $1$ \u4e2a\u5e95\u9762\u9762\u79ef $+$ \u4fa7\u9762\u79ef\u3002<\/p>\n\n\n\n<p>\u5e95\u9762\u79ef\uff1a $A_{\\text{\u5e95}} = \\pi r^2 = 3 \\times 2^2 = 12 \\text{ dm}^2$\u3002<\/p>\n\n\n\n<p>\u4fa7\u9762\u79ef\uff1a $A_{\\text{\u4fa7}} = 2 \\pi r h = 2 \\times 3 \\times 2 \\times 5 = 60 \\text{ dm}^2$\u3002<\/p>\n\n\n\n<p>\u603b\u9762\u79ef\uff1a $12 + 60 = 72 \\text{ dm}^2$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $72 \\text{ dm}^2$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">17. \u6bd4\u4f8b\u5c3a\u95ee\u9898<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u67d0\u5730\u56fe\u4e0a\u7684\u6bd4\u4f8b\u5c3a\u662f $1:50000$\u3002\u5982\u679c\u5730\u56fe\u4e0a\u7532\u4e59\u4e24\u5730\u7684\u8ddd\u79bb\u662f $6$ \u5398\u7c73\uff0c\u90a3\u4e48\u4e24\u5730\u5b9e\u9645\u8ddd\u79bb\u662f\u591a\u5c11\u5343\u7c73\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u5b9e\u9645\u8ddd\u79bb $=$ \u5730\u56fe\u8ddd\u79bb $times$ \u6bd4\u4f8b\u5c3a\u5206\u6bcd\u3002<\/p>\n\n\n\n<p>\u5b9e\u9645\u8ddd\u79bb\uff1a $6 \\times 50000 = 300000$ \u5398\u7c73\u3002<\/p>\n\n\n\n<p>$300000$ \u5398\u7c73 $= 3000$ \u7c73 $= 3$ \u5343\u7c73\u3002\uff08$1 \\text{ km} = 100000 \\text{ cm}$\uff09<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $3$ \u5343\u7c73<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">18. \u767e\u5206\u6570\u589e\u957f\u5e94\u7528<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u67d0\u5e02\u53bb\u5e74\u4eba\u53e3\u662f $50$ \u4e07\u4eba\uff0c\u4eca\u5e74\u4eba\u53e3\u6bd4\u53bb\u5e74\u589e\u957f\u4e86 $10%$\u3002\u4eca\u5e74\u4eba\u53e3\u662f\u591a\u5c11\u4e07\u4eba\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a<\/p>\n\n\n\n<p>\u4eca\u5e74\u4eba\u53e3\u662f\u53bb\u5e74\u7684 $1 + 10% = 110%$\u3002<\/p>\n\n\n\n<p>\u4eca\u5e74\u4eba\u53e3\uff1a $50 \\times 110% = 50 \\times 1.1 = 55$ \u4e07\u4eba\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $55$ \u4e07\u4eba<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">19. \u5206\u6570\u4e0e\u6574\u6570\u7684\u6df7\u5408\u8fd0\u7b97<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u4e2a\u6570\u51cf\u53bb $8$ \u7684 $\\frac{1}{4}$ \u7b49\u4e8e $10$\uff0c\u6c42\u8fd9\u4e2a\u6570\u3002<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u8bbe\u8fd9\u4e2a\u6570\u4e3a $x$\u3002<\/p>\n\n\n\n<p>$8$ \u7684 $\\frac{1}{4}$ \u662f $8 \\times \\frac{1}{4} = 2$\u3002<\/p>\n\n\n\n<p>\u65b9\u7a0b\u4e3a\uff1a $x &#8211; 2 = 10$\u3002<\/p>\n\n\n\n<p>$x = 10 + 2 = 12$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $12$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">20. \u9634\u5f71\u90e8\u5206\u9762\u79ef\uff08\u590d\u5408\u56fe\u5f62\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u4e2a\u8fb9\u957f\u4e3a $4$ \u5398\u7c73\u7684\u6b63\u65b9\u5f62\u5185\u753b\u4e00\u4e2a\u6700\u5927\u7684\u5706\uff0c\u6c42\u6b63\u65b9\u5f62\u51cf\u53bb\u5706\u540e\u7684\u5269\u4f59\u9762\u79ef\u3002\uff08$\\pi$ \u53d6 $3.14$\uff09<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u6700\u5927\u7684\u5706\uff0c\u5176\u76f4\u5f84\u7b49\u4e8e\u6b63\u65b9\u5f62\u8fb9\u957f\uff0c\u5373 $d=4$ \u5398\u7c73\uff0c\u534a\u5f84 $r=2$ \u5398\u7c73\u3002<\/p>\n\n\n\n<p>\u6b63\u65b9\u5f62\u9762\u79ef\uff1a $A_{\\text{\u65b9}} = 4 \\times 4 = 16 \\text{ cm}^2$\u3002<\/p>\n\n\n\n<p>\u5706\u7684\u9762\u79ef\uff1a $A_{\\text{\u5706}} = \\pi r^2 = 3.14 \\times 2^2 = 3.14 \\times 4 = 12.56 \\text{ cm}^2$\u3002<\/p>\n\n\n\n<p>\u5269\u4f59\u9762\u79ef\uff1a $16 &#8211; 12.56 = 3.44 \\text{ cm}^2$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $3.44 \\text{ cm}^2$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e7%ac%ac%e4%b8%89%e9%83%a8%e5%88%86%ef%bc%9a%e6%80%9d%e7%bb%b4%e6%8c%91%e6%88%98%e9%a2%98%ef%bc%8810%e9%a2%98%ef%bc%89\"><\/span>\u7b2c\u4e09\u90e8\u5206\uff1a\u601d\u7ef4\u6311\u6218\u9898\uff0810\u9898\uff09<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">21. \u6bd4\u4f8b\u5206\u914d\u95ee\u9898\uff08\u6761\u5f62\u6a21\u578b\u601d\u7ef4\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u7532\u3001\u4e59\u3001\u4e19\u4e09\u4eba\u5171\u6709 $180$ \u9897\u7cd6\u679c\u3002\u7532\u7684\u7cd6\u679c\u6570\u662f\u4e59\u7684 $2$ \u500d\uff0c\u4e59\u7684\u7cd6\u679c\u6570\u662f\u4e19\u7684 $frac{3}{2}$ \u500d\u3002\u4e09\u4eba\u5404\u6709\u591a\u5c11\u9897\u7cd6\u679c\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u8bbe\u4e19\u7684\u7cd6\u679c\u6570\u4e3a $x$ (2 \u4efd)\u3002<\/p>\n\n\n\n<p>\u4e59\u7684\u7cd6\u679c\u6570 $=$ \u4e19\u7684 $\\frac{3}{2}$ \u500d $= \\frac{3}{2} x$ (3 \u4efd)\u3002<\/p>\n\n\n\n<p>\u7532\u7684\u7cd6\u679c\u6570 $=$ \u4e59\u7684 $2$ \u500d $= 2 \\times \\frac{3}{2} x = 3x$ (6 \u4efd)\u3002<\/p>\n\n\n\n<p>\u603b\u4efd\u6570\uff1a $6+3+2=11$ \u4efd\u3002<\/p>\n\n\n\n<p>\u66f4\u6e05\u6670\u7684\u6bd4\u4f8b\u6cd5\uff1a \u8bbe\u4e19\u4e3a $2$ \u4efd\uff0c\u5219\u4e59\u4e3a $3$ \u4efd\uff0c\u7532\u4e3a $6$ \u4efd\u3002<\/p>\n\n\n\n<p>\u603b\u548c $6+3+2=11$ \u4efd\u3002 $11$ \u4efd $= 180$ \u9897\u3002<\/p>\n\n\n\n<p>$1$ \u4efd $= 180 \\div 11 \\approx 16.36$ \uff08\u6ce8\uff1a\u539f\u9898\u6570\u636e\u53ef\u80fd\u9700\u8c03\u6574\u4ee5\u5f97\u6574\u6570\u3002\u82e5\u6309 $180$ \u9897\u8ba1\u7b97\uff0c\u7b54\u6848\u4e3a\u5c0f\u6570\uff09\u3002<\/p>\n\n\n\n<p>\uff08\u4e3a\u4fdd\u8bc1\u5c0f\u5b66\u8ba1\u7b97\u96be\u5ea6\uff0c\u5c06\u603b\u6570\u6539\u4e3a $220$\uff09<\/p>\n\n\n\n<p>\u9898\u76ee\uff08\u8c03\u6574\uff09\uff1a \u7532\u3001\u4e59\u3001\u4e19\u4e09\u4eba\u5171\u6709 $220$ \u9897\u7cd6\u679c\u3002\u7532\u7684\u7cd6\u679c\u6570\u662f\u4e59\u7684 $2$ \u500d\uff0c\u4e59\u7684\u7cd6\u679c\u6570\u662f\u4e19\u7684 $frac{3}{2}$ \u500d\u3002\u4e09\u4eba\u5404\u6709\u591a\u5c11\u9897\u7cd6\u679c\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff08\u8c03\u6574\uff09\uff1a \u603b\u4efd\u6570 $6+3+2=11$ \u4efd\u3002 $1$ \u4efd $= 220 \\div 11 = 20$ \u9897\u3002<\/p>\n\n\n\n<p>\u7532\uff1a $6 \\times 20 = 120$ \u9897\u3002 \u4e59\uff1a $3 \\times 20 = 60$ \u9897\u3002 \u4e19\uff1a $2 \\times 20 = 40$ \u9897\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff08\u8c03\u6574\uff09\uff1a<\/strong> \u7532 $120$ \u9897\uff0c\u4e59 $60$ \u9897\uff0c\u4e19 $40$ \u9897<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">22. \u767e\u5206\u6570\u4e0e\u5dee\u7684\u5e94\u7528<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> A \u6570\u6bd4 B \u6570\u591a $25%$\u3002\u90a3\u4e48 B \u6570\u6bd4 A \u6570\u5c11\u767e\u5206\u4e4b\u51e0\uff1f<\/p>\n\n\n\n<p><strong>\u89e3\u6790\uff1a<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\u8bbe B \u6570\u4e3a $1$\u3002 A \u6570 $= 1 \\times (1 + 25%) = 1.25$\u3002<\/li>\n\n\n\n<li>B \u6570\u6bd4 A \u6570\u5c11\u7684\u91cf\u662f $1.25 &#8211; 1 = 0.25$\u3002<\/li>\n\n\n\n<li>B \u6570\u6bd4 A \u6570\u5c11\u7684\u767e\u5206\u6bd4\uff1a $\\frac{0.25}{1.25} \\times 100% = \\frac{1}{5} \\times 100% = 20%$\u3002<\/li>\n<\/ol>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $20%$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">23. \u5bb9\u79ef\u4e0e\u4f53\u79ef\uff08\u5355\u4f4d\u6362\u7b97\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u4e2a\u957f\u65b9\u4f53\u73bb\u7483\u9c7c\u7f38\uff0c\u4ece\u91cc\u9762\u91cf\u957f $50 text{ cm}$\uff0c\u5bbd $30 text{ cm}$\uff0c\u9ad8 $40 text{ cm}$\u3002\u5982\u679c\u5c06\u9c7c\u7f38\u88c5\u6ee1\u6c34\uff0c\u53ef\u4ee5\u88c5\u591a\u5c11\u5347\u6c34\uff1f<\/p>\n\n\n\n<p><strong>\u89e3\u6790\uff1a<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\u5bb9\u79ef $V = 50 \\times 30 \\times 40 = 60000 \\text{ cm}^3$\u3002<\/li>\n\n\n\n<li>\u5355\u4f4d\u6362\u7b97\uff1a $1 \\text{ L} = 1000 \\text{ cm}^3$\u3002<\/li>\n\n\n\n<li>\u5bb9\u79ef\uff08\u5347\uff09\uff1a $60000 \\div 1000 = 60 \\text{ L}$\u3002<\/li>\n<\/ol>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $60 text{ L}$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">24. \u884c\u7a0b\u95ee\u9898\uff08\u76f8\u9047\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u7532\u4e59\u4e24\u5730\u76f8\u8ddd $450$ \u5343\u7c73\u3002\u4e00\u8f86\u5feb\u8f66\u4ece\u7532\u5730\u5f00\u51fa\uff0c\u901f\u5ea6\u662f $90 \\text{ km\/h}$\uff1b\u540c\u65f6\u4e00\u8f86\u6162\u8f66\u4ece\u4e59\u5730\u5f00\u51fa\uff0c\u901f\u5ea6\u662f $60 \\text{ km\/h}$\u3002\u4e24\u8f66\u51e0\u5c0f\u65f6\u76f8\u9047\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u76f8\u9047\u65f6\u95f4 $=$ \u603b\u8def\u7a0b $\\div$ \u901f\u5ea6\u548c\u3002<\/p>\n\n\n\n<p>\u901f\u5ea6\u548c\uff1a $90 + 60 = 150 \\text{ km\/h}$\u3002<\/p>\n\n\n\n<p>\u76f8\u9047\u65f6\u95f4\uff1a $450 \\div 150 = 3$ \u5c0f\u65f6\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $3$ \u5c0f\u65f6<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">25. \u5229\u6da6\u95ee\u9898<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u67d0\u5546\u54c1\u6309\u6210\u672c\u4ef7\u63d0\u9ad8 $20%$ \u5b9a\u4ef7\uff0c\u7136\u540e\u4ee5\u516b\u6298\u51fa\u552e\uff0c\u6700\u7ec8\u662f\u76c8\u5229\u8fd8\u662f\u4e8f\u635f\uff1f\u76c8\u5229\/\u4e8f\u635f\u767e\u5206\u4e4b\u51e0\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u8bbe\u6210\u672c\u4ef7\u4e3a $1$\u3002<\/p>\n\n\n\n<p>\u5b9a\u4ef7\uff1a $1 \\times (1 + 20%) = 1.2$\u3002<\/p>\n\n\n\n<p>\u552e\u4ef7\uff1a $1.2 \\times 80% = 1.2 \\times 0.8 = 0.96$\u3002<\/p>\n\n\n\n<p>\u552e\u4ef7 $0.96$ \u5c0f\u4e8e\u6210\u672c\u4ef7 $1$\uff0c\u6240\u4ee5\u662f\u4e8f\u635f\u3002<\/p>\n\n\n\n<p>\u4e8f\u635f\u767e\u5206\u6bd4\uff1a $\\frac{1 &#8211; 0.96}{1} \\times 100% = 0.04 \\times 100% = 4%$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> \u4e8f\u635f $4%$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">26. \u6bd4\u7387\u53d8\u5316\uff08\u5706\u7684\u9762\u79ef\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u5982\u679c\u4e00\u4e2a\u5706\u7684\u534a\u5f84\u589e\u52a0 $50%$\uff0c\u90a3\u4e48\u5b83\u7684\u9762\u79ef\u4f1a\u589e\u52a0\u767e\u5206\u4e4b\u51e0\uff1f<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u8bbe\u539f\u534a\u5f84\u4e3a $r$\u3002\u539f\u9762\u79ef $A_1 = pi r^2$\u3002<\/p>\n\n\n\n<p>\u65b0\u534a\u5f84 $r_2 = r \\times (1 + 50%) = 1.5 r$\u3002<\/p>\n\n\n\n<p>\u65b0\u9762\u79ef $A_2 = \\pi (1.5 r)^2 = \\pi (2.25 r^2) = 2.25 \\pi r^2$\u3002<\/p>\n\n\n\n<p>\u9762\u79ef\u589e\u52a0\u4e86 $2.25 A_1 &#8211; A_1 = 1.25 A_1$\u3002<\/p>\n\n\n\n<p>\u9762\u79ef\u589e\u52a0\u7684\u767e\u5206\u6bd4\uff1a $1.25 \\times 100% = 125%$\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $125%$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">27. \u7efc\u5408\u5206\u6570\u95ee\u9898<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e00\u6279\u96f6\u4ef6\uff0c\u5e08\u5085\u505a\u4e86\u603b\u6570\u7684 $\\frac{2}{5}$\uff0c\u5f92\u5f1f\u505a\u4e86\u5269\u4e0b\u7684 $\\frac{1}{3}$\u3002\u6b64\u65f6\u8fd8\u5269\u4e0b $90$ \u4e2a\u96f6\u4ef6\uff0c\u8fd9\u6279\u96f6\u4ef6\u5171\u6709\u591a\u5c11\u4e2a\uff1f<\/p>\n\n\n\n<p><strong>\u89e3\u6790\uff1a<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\u5e08\u5085\u505a\u540e\u5269\u4e0b\uff1a $1 &#8211; \\frac{2}{5} = \\frac{3}{5}$\u3002<\/li>\n\n\n\n<li>\u5f92\u5f1f\u505a\u4e86\u603b\u6570\u7684\uff1a $\\frac{3}{5} \\times \\frac{1}{3} = \\frac{1}{5}$\u3002<\/li>\n\n\n\n<li>\u5269\u4e0b\u96f6\u4ef6\u5360\u603b\u6570\u7684\u767e\u5206\u6bd4\uff1a $1 &#8211; \\frac{2}{5} &#8211; \\frac{1}{5} = \\frac{2}{5}$\u3002<\/li>\n\n\n\n<li>\u603b\u6570\uff1a $90 \\div \\frac{2}{5} = 90 \\times \\frac{5}{2} = 45 \\times 5 = 225$ \u4e2a\u3002<\/li>\n<\/ol>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $225$ \u4e2a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">28. \u5e73\u5747\u6570\u95ee\u9898\uff08CPA\u601d\u7ef4\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> 5 \u4e2a\u6570\u7684\u5e73\u5747\u6570\u662f $20$\u3002\u5982\u679c\u52a0\u5165\u4e00\u4e2a\u65b0\u6570\uff0c\u8fd9 $6$ \u4e2a\u6570\u7684\u5e73\u5747\u6570\u53d8\u4e3a $22$\uff0c\u6c42\u52a0\u5165\u7684\u65b0\u6570\u662f\u591a\u5c11\uff1f<\/p>\n\n\n\n<p><strong>\u89e3\u6790\uff1a<\/strong><\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>\u539f\u6765\u7684\u603b\u548c\uff1a $5 \\times 20 = 100$\u3002<\/li>\n\n\n\n<li>\u73b0\u5728\u7684\u603b\u548c\uff1a $6 \\times 22 = 132$\u3002<\/li>\n\n\n\n<li>\u65b0\u52a0\u5165\u7684\u6570\uff1a $132 &#8211; 100 = 32$\u3002<\/li>\n<\/ol>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $32$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">29. \u65b9\u7a0b\u5e94\u7528\uff08\u96be\u5ea6\u589e\u52a0\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u5c0f\u660e\u4e70 $2$ \u672c\u7b14\u8bb0\u672c\u548c $3$ \u652f\u94a2\u7b14\u5171\u82b1\u8d39 $54$ \u5143\u3002\u5df2\u77e5\u4e00\u652f\u94a2\u7b14\u7684\u4ef7\u683c\u662f\u4e00\u672c\u7b14\u8bb0\u672c\u4ef7\u683c\u7684 $4$ \u500d\u3002\u6c42\u4e00\u672c\u7b14\u8bb0\u672c\u7684\u4ef7\u683c\u3002<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u8bbe\u4e00\u672c\u7b14\u8bb0\u672c\u4ef7\u683c\u4e3a $x$ \u5143\u3002\u5219\u4e00\u652f\u94a2\u7b14\u4ef7\u683c\u4e3a $4x$ \u5143\u3002<\/p>\n\n\n\n<p>\u603b\u4ef7\u65b9\u7a0b\uff1a $2x + 3(4x) = 54$<\/p>\n\n\n\n<p>$2x + 12x = 54$<\/p>\n\n\n\n<p>$14x = 54$<\/p>\n\n\n\n<p>$x = \\frac{54}{14} = \\frac{27}{7}$<\/p>\n\n\n\n<p>\uff08\u4e3a\u4fdd\u8bc1\u5c0f\u5b66\u8ba1\u7b97\u96be\u5ea6\uff0c\u5c06\u603b\u4ef7\u6539\u4e3a $56$\uff09<\/p>\n\n\n\n<p>\u9898\u76ee\uff08\u8c03\u6574\uff09\uff1a \u5c0f\u660e\u4e70 $2$ \u672c\u7b14\u8bb0\u672c\u548c $3$ \u652f\u94a2\u7b14\u5171\u82b1\u8d39 $56$ \u5143\u3002\u5df2\u77e5\u4e00\u652f\u94a2\u7b14\u7684\u4ef7\u683c\u662f\u4e00\u672c\u7b14\u8bb0\u672c\u4ef7\u683c\u7684 $4$ \u500d\u3002\u6c42\u4e00\u672c\u7b14\u8bb0\u672c\u7684\u4ef7\u683c\u3002<\/p>\n\n\n\n<p>\u89e3\u6790\uff08\u8c03\u6574\uff09\uff1a \u8bbe\u7b14\u8bb0\u672c $x$\u3002\u94a2\u7b14 $4x$\u3002 $2x + 3(4x) = 56 \\implies 14x = 56$<\/p>\n\n\n\n<p>$x = 56 \\div 14 = 4$ \u5143\u3002<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff08\u8c03\u6574\uff09\uff1a<\/strong> $4$ \u5143<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">30. \u6700\u5c0f\u516c\u500d\u6570\u4e0e\u6700\u5927\u516c\u56e0\u6570\uff08\u9ad8\u7ea7\u5e94\u7528\uff09<\/h3>\n\n\n\n<p><strong>\u9898\u76ee\uff1a<\/strong> \u4e24\u4e2a\u6570\u7684\u6700\u5927\u516c\u56e0\u6570\u662f $6$\uff0c\u6700\u5c0f\u516c\u500d\u6570\u662f $60$\u3002\u5df2\u77e5\u5176\u4e2d\u4e00\u4e2a\u6570\u662f $12$\uff0c\u6c42\u53e6\u4e00\u4e2a\u6570\u3002<\/p>\n\n\n\n<p>\u89e3\u6790\uff1a \u4e24\u4e2a\u6570\u7684\u79ef $=$ \u5b83\u4eec\u7684\u6700\u5c0f\u516c\u500d\u6570 $\\times$ \u6700\u5927\u516c\u56e0\u6570\u3002<\/p>\n\n\n\n<p>\u8bbe\u53e6\u4e00\u4e2a\u6570\u4e3a $y$\u3002<\/p>\n\n\n\n<p>$12 \\times y = 60 \\times 6$<\/p>\n\n\n\n<p>$12 y = 360$<\/p>\n\n\n\n<p>$y = 360 \\div 12 = 30$<\/p>\n\n\n\n<p><strong>\u7b54\u6848\uff1a<\/strong> $30$\uff1ay=30x+15 \u548cy=35x\u221215\uff0c\u89e3\u8fd9\u4e24\u4e2a\u65b9\u7a0b\u7ec4\u53ef\u5f97x=9\uff0cy=285\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e4%bd%a0%e7%9a%84%e5%ad%a9%e5%ad%90%e5%b1%9e%e4%ba%8e%e5%93%aa%e4%b8%aa%e6%95%b0%e5%ad%a6%e7%ad%89%e7%ba%a7%ef%bc%9f\"><\/span>\u4f60\u7684\u5b69\u5b50\u5c5e\u4e8e\u54ea\u4e2a\u6570\u5b66\u7b49\u7ea7\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u8bf7\u6839\u636e\u5b69\u5b50\u5b8c\u6210\u524d 30 \u9053\u6d4b\u8bd5\u9898\u7684\u6b63\u786e\u6570\u91cf\uff0c\u5bf9\u7167\u4e0b\u8868\u67e5\u770b\u5176\u5f53\u524d\u7684\u6570\u5b66\u6c34\u5e73\uff0c\u5e76\u627e\u5230\u6700\u9002\u5408\u4ed6\u7684\u5b66\u4e60\u5efa\u8bae\u3002\u60f3\u8981\u67e5\u770b\u66f4\u591a\u514d\u8d39\u7684\u4e60\u9898\u8d44\u6599\uff1f\u70b9\u51fb\u83b7\u5f97<a href=\"https:\/\/www.wukongsch.com\/zh\/resources\/math\/6th-grade\/\">\u609f\u7a7a\u5c0f\u5b66\u516d\u5e74\u7ea7\u6570\u5b66\u4e60\u9898\u518c<\/a>\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>\u6b63\u786e\u9898\u6570<\/strong><\/td><td><strong>\u7b49\u7ea7\u540d\u79f0<\/strong><\/td><td><strong>\u5f53\u524d\u6c34\u5e73\u5206\u6790<\/strong><\/td><td><strong>\u609f\u7a7a\u6559\u80b2\u7684\u5efa\u8bae\uff08\u884c\u52a8\u5bfc\u5411\uff09<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>0 &#8211; 15 \u9898<\/strong><\/td><td><strong>\u57fa\u7840\u8584\u5f31\u578b\uff08D\/C\uff09<\/strong><\/td><td><strong>\u8bca\u65ad\uff1a<\/strong> \u5b69\u5b50\u5728\u57fa\u7840\u8ba1\u7b97\u548c\u6838\u5fc3\u6982\u5ff5\uff08\u5206\u6570\u3001\u6bd4\u7387\u3001\u767e\u5206\u6bd4\uff09\u4e0a\u5b58\u5728\u4e25\u91cd\u6f0f\u6d1e\uff0c\u4e14\u5e94\u7528\u9898\u601d\u7ef4\u51e0\u4e4e\u672a\u5efa\u7acb\u3002\u5f53\u524d\u7684<strong>\u9898\u6d77\u6218\u672f<\/strong>\u6ca1\u6709\u6548\u679c\uff0c\u6025\u9700\u4e00\u5957\u9ad8\u6548\u3001\u91cd\u6784\u601d\u7ef4\u7684\u4f53\u7cfb\u3002<\/td><td>\u7acb\u523b\u62a5\u540d\u57fa\u7840\u91cd\u5efa\u8bfe\uff01 \u5b69\u5b50\u6025\u9700\u4ece CPA \u548c\u6761\u5f62\u6a21\u578b\u5f00\u59cb\uff0c\u91cd\u6784\u5e95\u5c42\u601d\u7ef4\u3002\u6211\u4eec\u4e13\u4e3a\u57fa\u7840\u8584\u5f31\u7684\u5b69\u5b50\u8bbe\u8ba1\u4e86\u8da3\u5473\u5f15\u5165\u8bfe\uff0c\u6d88\u9664\u6570\u5b66\u7126\u8651\uff0c\u8ba9\u4ed6\u7231\u4e0a\u6570\u5b66\u3002<\/td><\/tr><tr><td><strong>16 &#8211; 22 \u9898<\/strong><\/td><td><strong>\u601d\u7ef4\u521d\u73b0\u578b\uff08B\uff09<\/strong><\/td><td><strong>\u8bca\u65ad\uff1a<\/strong> \u5b69\u5b50\u57fa\u672c\u529f\u624e\u5b9e\uff0c\u4f46\u4e00\u65e6\u9047\u5230\u4e2d\u7b49\u6216\u6311\u6218\u6027\u5e94\u7528\u9898\uff08\u5982\u5de5\u7a0b\u3001\u5229\u6da6\u3001\u6bd4\u4f8b\u5206\u914d\uff09\uff0c\u5c31\u5f00\u59cb\u4f9d\u8d56\u731c\u60f3\u6216\u6b7b\u8bb0\u516c\u5f0f\uff0c\u7f3a\u4e4f\u7075\u6d3b\u7684<strong>\u5efa\u6a21\u601d\u7ef4<\/strong>\u3002\u5f53\u524d\u7684<strong>\u4f4e\u6548\u5237\u9898<\/strong>\u6b63\u5728\u6d6a\u8d39\u5929\u8d4b\u3002<\/td><td><strong>\u5f00\u542f\u9ad8\u6548\u601d\u7ef4\u8bad\u7ec3\uff01<\/strong> \u5b69\u5b50\u6709\u6f5c\u529b\uff0c\u4f46\u9700\u8981\u638c\u63e1\u65b0\u52a0\u5761\u6570\u5b66\u7684\u6761\u5f62\u6a21\u578b\uff0c\u5c06\u6587\u5b57\u8f6c\u5316\u4e3a\u56fe\u50cf\u3002\u653e\u5f03\u4f4e\u6548\u7684\u9898\u6d77\u6218\u672f\uff0c\u8ba9\u609f\u7a7a\u6559\u80b2\u6559\u4f1a\u4ed6\u201c\u4e00\u56fe\u80dc\u5343\u8a00\u201d\u7684\u89e3\u9898\u79d8\u8bc0\u3002<\/td><\/tr><tr><td><strong>23 &#8211; 30 \u9898<\/strong><\/td><td><strong>\u601d\u7ef4\u4f18\u79c0\u578b\uff08A\/A+\uff09<\/strong><\/td><td><strong>\u8bca\u65ad\uff1a<\/strong> \u5b69\u5b50\u8ba1\u7b97\u51c6\u786e\uff0c\u4e14\u80fd\u89e3\u51b3\u5927\u90e8\u5206\u5e94\u7528\u9898\u3002\u4f46\u8981\u51b2\u523a\u9ad8\u5e74\u7ea7\u7ade\u8d5b\u6216\u9876\u5c16\u5927\u5b66\uff0c\u8fd8\u9700\u8981<strong>\u8fdb\u4e00\u6b65\u6df1\u5316\u62bd\u8c61\u601d\u7ef4\u548c\u53d8\u901a\u80fd\u529b<\/strong>\u3002\u4fdd\u6301\u9886\u5148\u9700\u8981\u66f4\u4e13\u4e1a\u7684\u3001<strong>\u5c11\u800c\u7cbe<\/strong>\u7684\u8bfe\u7a0b\u3002<\/td><td><strong>\u51b2\u523a\u7cbe\u82f1\u601d\u7ef4\u6bbf\u5802\uff01<\/strong> <strong>\u65b0\u52a0\u5761\u6570\u5b66<\/strong>\u7684\u6df1\u5ea6\u5b66\u4e60\u6cd5\u80fd\u8ba9\u4f18\u79c0\u7684\u5b69\u5b50\u6311\u6218\u66f4\u9ad8\u7ea7\u7684\u903b\u8f91\u96be\u9898\u3002\u52a0\u5165\u609f\u7a7a\u6559\u80b2\uff0c\u786e\u4fdd\u4ee5\u5168\u7403\u6700\u9876\u5c16\u7684\u601d\u7ef4\u6a21\u5f0f\u4fdd\u6301\u9886\u5148\uff0c\u8f7b\u677e\u78be\u538b\u540c\u9f84\u4eba\uff01<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e6%82%9f%e7%a9%ba%e6%95%99%e8%82%b2%ef%bc%9a%e8%ae%a9%e4%bd%a0%e7%9a%84%e5%ad%a9%e5%ad%90%e7%88%b1%e4%b8%8a%e6%95%b0%e5%ad%a6\"><\/span>\u609f\u7a7a\u6559\u80b2\uff1a\u8ba9\u4f60\u7684\u5b69\u5b50\u7231\u4e0a\u6570\u5b66<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u60a8\u65e0\u9700\u518d\u8ba9\u5b69\u5b50\u9677\u5165\u65e0\u5c3d\u7684\u5237\u9898\u6f29\u6da1\uff0c\u4e5f\u4e0d\u5fc5\u62c5\u5fc3\u5728\u7f8e\u56fd\u627e\u4e0d\u5230\u5408\u9002\u7684\u4e2d\u6587\u6570\u5b66\u6559\u80b2\u3002<a href=\"https:\/\/www.wukongsch.com\/zh\/math\/\"><strong>\u609f\u7a7a\u6559\u80b2<\/strong><\/a>\u81f4\u529b\u4e8e\u5c06\u5168\u7403\u9876\u5c16\u7684\u9ad8\u6548\u601d\u7ef4\u4f53\u7cfb\u5f15\u5165\u60a8\u7684\u5bb6\u5ead\uff0c\u8ba9\u60a8\u7684\u5b69\u5b50\u8f7b\u677e\u5b9e\u73b0\u5c11\u505a\u9898\u8003\u9ad8\u5206\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u72ec\u521b CPA \u8fdb\u9636\u6559\u5b66\u6cd5\uff1a<\/strong> \u8bfe\u7a0b\u91c7\u7528\u201c\u5177\u4f53-\u56fe\u50cf-\u62bd\u8c61\u201d\u4e09\u6b65\u6559\u5b66\u6cd5\uff0c\u4fdd\u8bc1\u5b69\u5b50\u5bf9\u6bcf\u4e2a\u6570\u5b66\u6982\u5ff5\u7684\u7406\u89e3\u90fd\u624e\u5b9e\u900f\u5f7b\uff0c\u800c\u4e0d\u662f\u6b7b\u8bb0\u786c\u80cc\u3002<\/li>\n\n\n\n<li><strong>\u6781\u81f4\u9ad8\u6548\u7684\u201c\u5c11\u800c\u7cbe\u201d\u6559\u5b66\uff1a<\/strong> \u5f7b\u5e95\u6452\u5f03\u4f20\u7edf\u5237\u9898\u6a21\u5f0f\uff0c\u6bcf\u8282\u8bfe\u53ea\u8bb2 3\u20135 \u9053\u6838\u5fc3\u9898\u3002\u6211\u4eec\u628a\u65f6\u95f4\u7528\u5728\u6784\u5efa\u601d\u7ef4\u6a21\u578b\u4e0a\uff0c\u8ba9\u5b69\u5b50\u7528 20% \u7684\u9898\u91cf\u83b7\u5f97 100% \u7684\u7406\u89e3\u3002<\/li>\n\n\n\n<li><strong>\u7eaf\u4e2d\u6587\u5c0f\u73ed\u76f4\u64ad\uff0c\u6df1\u5ea6\u7406\u89e3\u65e0\u969c\u788d\uff1a<\/strong> \u91c7\u7528\u6700\u719f\u6089\u7684\u6bcd\u8bed\uff0c\u7531\u4e13\u4e1a\u5bfc\u5e08\u8bb2\u89e3\u6838\u5fc3\u903b\u8f91\u548c\u5efa\u6a21\u601d\u7ef4\uff0c\u786e\u4fdd\u5b69\u5b50\u5bf9\u590d\u6742\u6982\u5ff5\u7684\u7406\u89e3\u8fbe\u5230\u6700\u5927\u6df1\u5ea6\u3002<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%e6%80%bb%e7%bb%93\"><\/span>\u603b\u7ed3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u6587\u6db5\u76d6\u4e8630\u9053\u6781\u5177\u4ee3\u8868\u6027\u7684\u516d\u5e74\u7ea7\u7ecf\u5178\u6570\u5b66\u9898\uff0c\u5982\u5206\u6570\u56db\u5219\u8fd0\u7b97\u3001\u5e73\u9762\u56fe\u5f62\u9762\u79ef\u8ba1\u7b97\u3001\u7b80\u5355\u65b9\u7a0b\u6c42\u89e3\u7b49\uff0c\u8fd9\u4e9b\u90fd\u662f\u516d\u5e74\u7ea7\u6570\u5b66\u8bfe\u7a0b\u7684\u6838\u5fc3\u77e5\u8bc6\u70b9\u3002\u540c\u65f6\uff0c\u8fd8\u7279\u522b\u6311\u9009\u4e86\u5bcc\u6709\u8da3\u5473\u6027\u7684\u6570\u5b66\u5e94\u7528\u9898\uff0c\u6bd4\u5982\u901a\u8fc7\u5408\u7406\u5206\u914d\u7269\u54c1\u3001\u8ba1\u7b97\u8d2d\u7269\u6298\u6263\u7b49\u65b9\u5f0f\uff0c\u8ba9\u5b66\u751f\u5728\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\u7684\u8fc7\u7a0b\u4e2d\uff0c\u4f53\u9a8c\u6570\u5b66\u65e0\u5904\u4e0d\u5728\u7684\u9b45\u529b\uff0c\u8fdb\u800c\u63d0\u5347\u5176\u5b9e\u8df5\u5e94\u7528\u80fd\u529b\u3002\u5982\u679c\u5927\u5bb6\u5bf9\u54ea\u9053\u9898\u7684\u7b54\u6848\u6216\u89e3\u9898\u6b65\u9aa4\u6709\u7591\u95ee\uff0c\u6b22\u8fce\u70b9\u51fb\u4e0b\u65b9\u9886\u53d6\u514d\u8d39\u7684\u4f53\u9a8c\u8bfe\uff0c\u4e0e\u540d\u5e08\u5728\u7ebf\u8ba8\u8bba\uff01<\/p>\n\n\n\n<p>FAQs<\/p>\n\n\n\n<div class=\"schema-faq\"><div class=\"schema-faq-section\" id=\"faq-question-1764740769049\"><strong class=\"schema-faq-question\">\u516d\u5e74\u7ea7\u6570\u5b66\u77e5\u8bc6\u70b9\u96be\u5ea6\u9661\u5347\uff0c\u5177\u4f53\u4f53\u73b0\u5728\u54ea\u91cc\uff1f<\/strong> <p class=\"schema-faq-answer\">\u516d\u5e74\u7ea7\u6570\u5b66\u7684\u96be\u5ea6\u9661\u5347\u4e3b\u8981\u4f53\u73b0\u5728\u4ece\u201c\u8ba1\u7b97\u6280\u80fd\u201d\u8f6c\u5411\u201c\u62bd\u8c61\u601d\u7ef4\u201d\u3002<br\/><strong>\u5728\u6570\u7cfb\u65b9\u9762\uff1a<\/strong><br\/>\u516d\u5e74\u7ea7\u524d\uff08\u5c0f\u5b66\u57fa\u7840\uff09\uff1a\u4e3b\u8981\u96c6\u4e2d\u5728\u6b63\u6574\u6570\u3001\u5206\u6570\u3001\u5c0f\u6570\u7684\u8ba1\u7b97\u3002<br\/>\u516d\u5e74\u7ea7\u540e\uff08\u5206\u6c34\u5cad\u6838\u5fc3\uff09\uff1a\u5f00\u59cb\u5f15\u5165<strong>\u8d1f\u6570\u3001\u7edd\u5bf9\u503c<\/strong>\u4ee5\u53ca\u6709\u7406\u6570\u8fd0\u7b97\u3002<br\/><strong>\u5728\u4ee3\u6570\u65b9\u9762\uff1a<\/strong><br\/>\u516d\u5e74\u7ea7\u524d\uff08\u5c0f\u5b66\u57fa\u7840\uff09\uff1a\u4e3b\u8981\u662f\u7b80\u5355\u7684\u4ee3\u5165\u5f0f\uff0c\u4ee5\u53ca\u89e3\u5982 $x+a=b$ \u8fd9\u6837\u7684\u7b80\u5355\u65b9\u7a0b\u3002<br\/>\u516d\u5e74\u7ea7\u540e\uff08\u5206\u6c34\u5cad\u6838\u5fc3\uff09\uff1a\u5347\u7ea7\u4e3a\u7cfb\u7edf\u5b66\u4e60<strong>\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b<\/strong>\u548c<strong>\u4e0d\u7b49\u5f0f\u521d\u6b65<\/strong>\u3002<br\/><strong>\u5728\u51e0\u4f55\u65b9\u9762\uff1a<\/strong><br\/>\u516d\u5e74\u7ea7\u524d\uff08\u5c0f\u5b66\u57fa\u7840\uff09\uff1a\u4fa7\u91cd\u4e8e\u5e73\u9762\u56fe\u5f62\u7684\u5468\u957f\u548c\u9762\u79ef\u8ba1\u7b97\u3002<br\/>\u516d\u5e74\u7ea7\u540e\uff08\u5206\u6c34\u5cad\u6838\u5fc3\uff09\uff1a\u8fdb\u9636\u5230<strong>\u7acb\u4f53\u56fe\u5f62\u7684\u4f53\u79ef\u3001\u8868\u9762\u79ef<\/strong>\uff0c\u4ee5\u53ca<strong>\u89d2\u5ea6\u4e0e\u5e73\u884c\u7ebf<\/strong>\u7684\u6982\u5ff5\u3002<br\/><strong>\u5728\u5e94\u7528\u65b9\u9762\uff1a<\/strong><br\/>\u516d\u5e74\u7ea7\u524d\uff08\u5c0f\u5b66\u57fa\u7840\uff09\uff1a\u505c\u7559\u5728\u57fa\u672c\u7684\u767e\u5206\u6bd4\u8ba1\u7b97\u3002<br\/>\u516d\u5e74\u7ea7\u540e\uff08\u5206\u6c34\u5cad\u6838\u5fc3\uff09\uff1a\u8981\u6c42\u89e3\u51b3<strong>\u6bd4\u4f8b\u8fdb\u9636\u5e94\u7528\u3001\u5229\u6da6\u3001\u5de5\u7a0b\u3001\u884c\u7a0b<\/strong>\u7b49\u9700\u8981\u590d\u6742\u5efa\u6a21\u7684\u9898\u76ee\u3002<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1764740808846\"><strong class=\"schema-faq-question\">AMC 8 \u6570\u5b66\u7ade\u8d5b\u5728\u516d\u5e74\u7ea7\u6709\u4ec0\u4e48\u91cd\u8981\u6027\uff1f<\/strong> <p class=\"schema-faq-answer\">AMC 8 \u7b2c\u4e00\u6b21\u6b63\u5f0f\u53c2\u8d5b\u673a\u4f1a\u901a\u5e38\u5c31\u5728<strong>\u516d\u5e74\u7ea7\u4e0b\u5b66\u671f\u6216\u4e03\u5e74\u7ea7\u4e0a\u5b66\u671f<\/strong>\u3002AMC 8 \u6210\u7ee9\u662f\u9876\u5c16\u5bc4\u5bbf\u5b66\u6821\uff08\u5982 Phillips Academy\uff09\u548c\u672a\u6765\u9ad8\u4e2d\u7cbe\u82f1\u5b66\u672f\u5708\u7684<strong>\u91cd\u8981\u53c2\u8003\u6307\u6807<\/strong>\u3002\u65e0\u6570\u9876\u5c16\u7ade\u8d5b\u9009\u624b\u90fd\u662f\u5728\u516d\u5e74\u7ea7\u5c06\u6574\u6570\u3001\u8ba1\u6570\u3001\u4ee3\u6570\u5165\u95e8\u7b49\u77e5\u8bc6\u70b9\u5168\u90e8\u5403\u900f\uff0c\u4e3a\u4e03\u516b\u5e74\u7ea7\u51b2\u523a\u66f4\u9ad8\u7ea7\u522b\u7ade\u8d5b\uff08\u5982 AMC 10\u3001AIME\uff09\u5960\u5b9a\u57fa\u7840\u3002<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1764740827311\"><strong class=\"schema-faq-question\">\u5c0f\u5b66\u516d\u5e74\u7ea7\u4e3a\u4ec0\u4e48\u88ab\u79f0\u4e3a\u5b69\u5b50\u6570\u5b66\u7684\u201c\u751f\u6b7b\u7ebf\u201d\uff1f<\/strong> <p class=\"schema-faq-answer\">\u5c0f\u5b66\u516d\u5e74\u7ea7\u662f\u7f8e\u56fd K-12 \u6570\u5b66\u6559\u80b2\u89c4\u5212\u4e2d\u7684\u4e00\u4e2a<strong>\u6b8b\u9177\u201c\u5206\u6c34\u5cad\u201d<\/strong>\u3002\u8fdb\u5165\u516d\u5e74\u7ea7\uff0c\u8bfe\u7a0b\u96be\u5ea6\u5c06\u51fa\u73b0<strong>\u65ad\u5d16\u5f0f\u4e0a\u5347<\/strong>\uff0c\u76f4\u63a5\u8fdb\u5165 Pre-Algebra \u751a\u81f3 Algebra 1 \u7684\u9884\u5907\u5185\u5bb9\uff08\u5982\u8d1f\u6570\u3001\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u3001\u6bd4\u4f8b\u8fdb\u9636\u5e94\u7528\uff09\u3002\u5982\u679c\u5b69\u5b50\u6b64\u65f6\u6570\u5b66\u57fa\u7840\u8584\u5f31\uff0c\u4e03\u5e74\u7ea7\u5f00\u5b66\u540e\u5f88\u5feb\u5c31\u4f1a\u88ab\u7529\u4e0b\uff0c\u5e76\u5f71\u54cd\u540e\u7eed\u7684 Algebra 1\u3001Geometry \u4e43\u81f3 SAT \u6570\u5b66\u6210\u7ee9\u3002<\/p> <\/div> <\/div>\n\n\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>\u7f8e\u56fd\u516d\u5e74\u7ea7\uff0c\u662f\u5b69\u5b50\u6570\u5b66\u7684\u5206\u6c34\u5cad\u5417\uff1f\u5f88\u591a\u534e\u4eba\u5bb6\u957f\u90fd\u89c9\u5f97\uff1a\u5b69\u5b50\u5b66\u6821\u6570\u5b6695-100\u5206\uff0c\u5df2\u7ecf\u5f88\u597d\u4e86\u3002 \u53ef\u4e00\u65e6\u63a5\u89e6\u4e2d\u56fd\u540c\u9f84\u4eba\u7684\u9898\u76ee\uff0c\u5dee\u8ddd\u7acb\u523b\u663e\u73b0\uff0c\u5f80\u5f80\u5dee\u4e86\u6574\u65742\u5e74\uff01 \u516d\u5e74\u7ea7\u4e4b\u524d\u8fd8\u80fd\u8ffd\uff0c\u516d\u5e74\u7ea7\u4e4b\u540e\u5c31\u665a\u4e86\uff1a \u5b69\u5b50\u9a6c\u4e0a\u8981\u4e0aPre-Algebra\uff0c\u56fd\u5185\u5b69\u5b50\u65e9\u5df2\u9886\u5148\uff0c\u521d\u4e2d\u5f00\u59cb\u8d8a\u62c9\u8d8a\u5927\u3002 \u4e3a\u4ec0\u4e48\u5c0f\u5b66\u516d\u5e74\u7ea7\u662f\u5b69\u5b50\u6570\u5b66\u7684\u5206\u6c34\u5cad\uff1f \u5bf9\u7f8e\u56fd\u534e\u4eba\u5bb6\u957f\u6765\u8bf4\uff0c\u516d\u5e74\u7ea7\u4ece\u6765\u4e0d\u662f\u201c\u5c0f\u5b66\u6700\u540e\u4e00\u5e74\u201d\u90a3\u4e48\u8f7b\u677e\uff0c\u800c\u662f\u6574\u4e2aK-12\u6570\u5b66\u89c4\u5212\u91cc\u6700\u6b8b\u9177\u7684\u201c\u5206\u6c34\u5cad\u201d\u548c\u201c\u6700\u540e\u4e0a\u8f66\u70b9\u201d\u3002 \u6240\u4ee5\u6e7e\u533a\u3001\u7ebd\u7ea6\u3001\u6ce2\u58eb\u987f\u7684\u534e\u4eba\u5bb6\u957f\u5708\u91cc\u6d41\u4f20\u4e00\u53e5\u8bdd\uff1a \u201c\u516d\u5e74\u7ea7\u662f\u6570\u5b66\u7684\u6700\u540e\u9ec4\u91d16\u4e2a\u6708\uff0c\u6293\u4f4f\u5c31\u80fd\u8eba\u8d62\uff0c\u9519\u8fc7\u5c31\u53ea\u80fd\u966a\u8dd1\u3002\u201d\u4e3a\u4e86\u8ba9\u60a8\u7acb\u523b\u3001\u4eb2\u773c\u770b\u5230\u5b69\u5b50\u76ee\u524d\u7684\u771f\u5b9e\u6570\u5b66\u6c34\u5e73\uff0c \u609f\u7a7a\u6559\u80b2\u7cbe\u5fc3\u6574\u7406\u4e8630\u9053\u7531\u6d45\u5165\u6df1\u7684\u516d\u5e74\u7ea7\u6570\u5b66\u771f\u9898\uff0c\u5feb\u8ba9\u4f60\u7684\u5b69\u5b50\u6765\u8bd5\u8bd5\u5427\uff01 \u7b2c\u4e00\u90e8\u5206\uff1a\u57fa\u7840\u8ba1\u7b97\u4e0e\u6982\u5ff5\uff0810\u9898\uff09 1. \u5206\u6570\u56db\u5219\u8fd0\u7b97 \u9898\u76ee\uff1a \u8ba1\u7b97 $3 \\frac{1}{2} &#8211; 1 \\frac{3}{4} + \\frac{5}{8}$ \u89e3\u6790\uff1a \u5c06\u5e26\u5206\u6570\u8f6c\u6362\u4e3a\u5047\u5206\u6570\u6216\u7edf\u4e00\u901a\u5206\u540e\u518d\u8fdb\u884c\u52a0\u51cf\u3002 $3 \\frac{1}{2} = \\frac{7}{2} = \\frac{28}{8}$ $1 \\frac{3}{4} = \\frac{7}{4} = \\frac{14}{8}$ \u539f\u5f0f $= \\frac{28}{8} &#8211; \\frac{14}{8} + \\frac{5}{8} = \\frac{28 &#8211; 14 + 5}{8} = \\frac{19}{8}$ \u7b54\u6848\uff1a $2 \\frac{3}{8}$ \u6216 $\\frac{19}{8}$ 2. \u767e\u5206\u6570\u4e0e\u5c0f\u6570\u4e92\u5316 \u9898\u76ee\uff1a \u5c06 $0.085$ \u8f6c\u6362\u4e3a\u767e\u5206\u6570\uff0c\u5e76\u5c06 $125%$ \u8f6c\u6362\u4e3a\u5c0f\u6570\u3002 \u89e3\u6790\uff1a \u5c0f\u6570\u8f6c\u767e\u5206\u6570\uff0c\u5c0f\u6570\u70b9\u5411\u53f3\u79fb\u52a8\u4e24\u4f4d\u5e76\u52a0\u767e\u5206\u53f7\uff1b\u767e\u5206\u6570\u8f6c\u5c0f\u6570\uff0c\u53bb\u6389\u767e\u5206\u53f7\uff0c\u5c0f\u6570\u70b9\u5411\u5de6\u79fb\u52a8\u4e24\u4f4d\u3002 \u7b54\u6848\uff1a $8.5%$ \u548c $1.25$ 3. \u5012\u6570\u6982\u5ff5 \u9898\u76ee\uff1a $\\frac{5}{7}$ \u7684\u5012\u6570\u4e0e $0.2$ \u7684\u5012\u6570\u76f8\u4e58\uff0c\u79ef\u662f\u591a\u5c11\uff1f \u89e3\u6790\uff1a $\\frac{5}{7}$ \u7684\u5012\u6570\u662f $\\frac{7}{5}$\uff1b$0.2 = frac{1}{5}$\uff0c\u5176\u5012\u6570\u662f $5$\u3002 \u4e58\u79ef\u4e3a $\\frac{7}{5} \\times 5 = 7$\u3002 \u7b54\u6848\uff1a $7$ 4. \u6bd4\u7684\u5316\u7b80 \u9898\u76ee\uff1a \u5c06\u6bd4 $\\frac{3}{4} : 0.75$ \u5316\u4e3a\u6700\u7b80\u5355\u7684\u6574\u6570\u6bd4\u3002 \u89e3\u6790\uff1a $0.75 = \\frac{3}{4}$\u3002\u539f\u6bd4\u4e3a $\\frac{3}{4} : \\frac{3}{4}$\u3002 \u7b54\u6848\uff1a $1:1$ 5. \u6c42\u767e\u5206\u6570 \u9898\u76ee\uff1a $15$ \u662f $60$ \u7684\u767e\u5206\u4e4b\u51e0\uff1f \u89e3\u6790\uff1a \u6c42\u201c\u7532\u662f\u4e59\u7684\u767e\u5206\u4e4b\u51e0\u201d\u7528\u7b97\u5f0f $\\text{\u7532} \\div \\text{\u4e59}&#46;&#46;&#46;<\/p>\n","protected":false},"author":211806806,"featured_media":29803,"comment_status":"open","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":[],"class_list":["post-29774","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-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>\u5c0f\u5b66\u516d\u5e74\u7ea7\u662f\u6570\u5b66\u5206\u6c34\u5cad\uff1f\u7cbe\u900930\u9053\u516d\u5e74\u7ea7\u6570\u5b66\u9898\uff08\u542b\u7b54\u6848\u89e3\u6790\uff09<\/title>\n<meta name=\"description\" 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