{"id":28871,"date":"2021-04-20T13:00:28","date_gmt":"2021-04-20T13:00:28","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28871"},"modified":"2024-09-22T02:08:11","modified_gmt":"2024-09-22T02:08:11","slug":"%e7%9b%b4%e7%ba%bf%e6%96%b9%e7%a8%8b%e5%92%8c%e7%ac%9b%e5%8d%a1%e5%b0%94%e5%9d%90%e6%a0%87%e7%b3%bb","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e7%9b%b4%e7%ba%bf%e6%96%b9%e7%a8%8b%e5%92%8c%e7%ac%9b%e5%8d%a1%e5%b0%94%e5%9d%90%e6%a0%87%e7%b3%bb\/","title":{"rendered":"\u76f4\u7ebf\u65b9\u7a0b\u548c\u7b1b\u5361\u5c14\u5750\u6807\u7cfb"},"content":{"rendered":"<p><center><\/p>\n<h1>\u76f4\u7ebf\u65b9\u7a0b\u548c\u7b1b\u5361\u5c14\u5750\u6807\u7cfb<\/h1>\n<p style=\"text-align: center;\"><em><strong>\u6458\u8981:<\/strong><br \/>\n      \u5728\u672c\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u4ecb\u7ecd\u89e3\u6790\u51e0\u4f55\u7684\u57fa\u7840\uff0c\u5c55\u793a\u5982\u4f55\u4f7f\u7528\u5750\u6807\u8868\u793a\u5e73\u9762\u4e0a\u7684\u70b9\uff0c\u4ee5\u53ca\u5982\u4f55\u6839\u636e\u659c\u7387\u548c\u5df2\u77e5\u70b9\u6784\u5efa\u76f4\u7ebf\u65b9\u7a0b\u3002\u6211\u4eec\u5c06\u63a2\u8ba8\u5173\u952e\u6982\u5ff5\uff0c\u4f8b\u5982\u659c\u7387\u3001\u4f7f\u7528\u65b9\u7a0b <span class=\"katex-eq\" data-katex-display=\"false\">y = mx + b<\/span> \u4ee5\u53ca\u76f4\u7ebf\u7684\u56fe\u5f62\u8868\u793a\u3002\u6b64\u5916\uff0c\u8fd8\u5305\u62ec\u5b9e\u9645\u7ec3\u4e60\u548c\u5e94\u7528\uff0c\u4ee5\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\uff0c\u5982\u4f4d\u7f6e\u8ba1\u7b97\u548c\u76f4\u7ebf\u7684\u4ea4\u70b9\u3002<\/em><\/p>\n<p>   <strong>\u5b66\u4e60\u76ee\u6807<\/strong><\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u7406\u89e3<\/strong>\u89e3\u6790\u51e0\u4f55\u7684\u57fa\u672c\u539f\u7406\u53ca\u5176\u5728\u7b1b\u5361\u5c14\u5e73\u9762\u4e0a\u8868\u793a\u70b9\u7684\u5e94\u7528\u3002<\/li>\n<li><strong>\u8bc6\u522b<\/strong>\u76f4\u7ebf\u7684\u659c\u7387\u516c\u5f0f\u53ca\u5176\u51e0\u4f55\u610f\u4e49\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u901a\u7528\u76f4\u7ebf\u65b9\u7a0b <span class=\"katex-eq\" data-katex-display=\"false\">y = mx + b<\/span> \u6765\u63cf\u8ff0\u7ebf\u6027\u5173\u7cfb\u3002<\/li>\n<li><strong>\u8ba1\u7b97<\/strong>\u57fa\u4e8e\u5df2\u77e5\u70b9\u548c\u659c\u7387\u7684\u76f4\u7ebf\u65b9\u7a0b\u3002<\/li>\n<li><strong>\u7ed8\u5236<\/strong>\u57fa\u4e8e\u5176\u65b9\u7a0b\u7684\u76f4\u7ebf\u5728\u7b1b\u5361\u5c14\u5e73\u9762\u4e0a\u7684\u56fe\u5f62\u3002<\/li>\n<li><strong>\u89e3\u51b3<\/strong>\u901a\u8fc7\u65b9\u7a0b\u7ec4\u6c42\u89e3\u4e24\u6761\u76f4\u7ebf\u4ea4\u70b9\u7684\u95ee\u9898\u3002<\/li>\n<li><strong>\u5206\u6790<\/strong>\u4e24\u4e2a\u7ebf\u6027\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u76f4\u7ebf\u65b9\u7a0b\u6765\u8868\u793a\u5b83\u4eec\u3002<\/li>\n<\/ol>\n<p>   <strong>\u5185\u5bb9\u76ee\u5f55<\/strong><br \/>\n   <a href=\"#1\">\u89e3\u6790\u51e0\u4f55\u7684\u57fa\u672c\u539f\u7406<\/a><br \/>\n   <a href=\"#2\">\u76f4\u7ebf\u65b9\u7a0b<\/a><br \/>\n   <a href=\"#3\">\u5982\u4f55\u7ed8\u5236\u76f4\u7ebf\u65b9\u7a0b<\/a><br \/>\n   <a href=\"#4\">\u76f4\u7ebf\u7684\u4ea4\u70b9<\/a>\n   <\/p>\n<p><\/center><\/p>\n<p>   <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/mNISGHOByAI\" title=\"YouTube\u89c6\u9891\u64ad\u653e\u5668\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p style=\"text-align: justify;\">\u73b0\u5728\u6211\u4eec\u5c06\u5f00\u59cb\u5b66\u4e60\u76f4\u7ebf\u65b9\u7a0b\u3001\u7b1b\u5361\u5c14\u5750\u6807\u7cfb\u4ee5\u53ca\u89e3\u6790\u51e0\u4f55\u7684\u57fa\u672c\u539f\u7406\u3002<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u89e3\u6790\u51e0\u4f55\u7684\u57fa\u672c\u539f\u7406<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=140s\" target=\"_blank\" rel=\"noopener\"><strong>\u5f53\u4ecb\u7ecd\u5b9e\u6570\u65f6<\/strong><\/a>\uff0c\u901a\u5e38\u4f1a\u8bf4\u8fd9\u4e9b\u662f\u76f4\u7ebf\u4e0a\u7684\u70b9<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-GVaIW2wJ8sQ\/YH8dbLc562I\/AAAAAAAAE8Q\/mQOvNS6N18gbsEvWuU4gzrjvBYuS20_-ACLcBGAsYHQ\/s0\/RECTA%2BDE%2BLOS%2BREALES.PNG\" alt=\"\u5b9e\u6570\u76f4\u7ebf\" class=\" aligncenter lazyload\" width=\"581\" height=\"128\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-GVaIW2wJ8sQ\/YH8dbLc562I\/AAAAAAAAE8Q\/mQOvNS6N18gbsEvWuU4gzrjvBYuS20_-ACLcBGAsYHQ\/s0\/RECTA%2BDE%2BLOS%2BREALES.PNG\" alt=\"\u5b9e\u6570\u76f4\u7ebf\" class=\" aligncenter lazyload\" width=\"581\" height=\"128\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u57fa\u4e8e\u6b64\uff0c\u7b1b\u5361\u5c14\u63d0\u51fa\u4e86\u7528\u4e24\u6761\u76f4\u7ebf\u6765\u8868\u793a\u5e73\u9762\u4e0a\u7684\u70b9\uff0c\u4f5c\u4e3a\u5750\u6807\u5bf9 (x, y)<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-HVR3PImxths\/YH8d4-azX3I\/AAAAAAAAE8Y\/Qw5_Ir_CzZwM446x73emMv2R4FRssqfHwCLcBGAsYHQ\/s0\/PLANO%2BCARTESIANO.PNG\" alt=\"\u7b1b\u5361\u5c14\u5e73\u9762\" class=\" aligncenter lazyload\" width=\"434\" height=\"252\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-HVR3PImxths\/YH8d4-azX3I\/AAAAAAAAE8Y\/Qw5_Ir_CzZwM446x73emMv2R4FRssqfHwCLcBGAsYHQ\/s0\/PLANO%2BCARTESIANO.PNG\" alt=\"\u7b1b\u5361\u5c14\u5e73\u9762\" class=\" aligncenter lazyload\" width=\"434\" height=\"252\" \/><\/noscript><\/p>\n<p><a name=\"2\"><\/a>     <\/p>\n<h2>\u76f4\u7ebf\u65b9\u7a0b<\/h2>\n<p style=\"text-align: justify;\">\u901a\u8fc7\u8fd9\u4e9b\u6982\u5ff5\uff0c\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u5728\u5e73\u9762\u4e0a\u8003\u8651\u4e00\u7ec4\u70b9\u6765\u5f62\u6210\u66f2\u7ebf\uff0c\u5176\u4e2d\u5750\u6807 <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u5bf9\u5e94\u53e6\u4e00\u4e2a\u5750\u6807 <span class=\"katex-eq\" data-katex-display=\"false\">y<\/span>\uff0c\u800c\u8fd9\u79cd\u5bf9\u5e94\u5173\u7cfb\u662f\u7531\u51fd\u6570\u7ed9\u51fa\u7684\u3002\u8fd9\u5c31\u662f\u4ee3\u6570\u6e17\u900f\u51e0\u4f55\u7684\u5730\u65b9\uff0c\u4ece\u800c\u4ea7\u751f\u4e86\u201c\u89e3\u6790\u51e0\u4f55\u201d\u3002<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=320s\" target=\"_blank\" rel=\"noopener\"><strong>\u4ece\u51e0\u4f55\u4e0a\u7406\u89e3\u76f4\u7ebf<\/strong><\/a>\u662f\u8fde\u63a5\u4e24\u70b9\u5e76\u4e14\u884c\u8d70\u6700\u77ed\u8ddd\u79bb\u7684\u66f2\u7ebf\u3002<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-Bgjb959iAoo\/YH8eKEZ_ocI\/AAAAAAAAE8g\/FaZmlsj4Pn8tZ_A_XpqA5yfE7SWdygj7QCLcBGAsYHQ\/s0\/RECTA%2BEN%2BEL%2BPLANO%2BCARTESIANO.PNG\" alt=\"\u7b1b\u5361\u5c14\u5e73\u9762\u4e0a\u7684\u76f4\u7ebf\" class=\" aligncenter lazyload\" width=\"429\" height=\"267\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-Bgjb959iAoo\/YH8eKEZ_ocI\/AAAAAAAAE8g\/FaZmlsj4Pn8tZ_A_XpqA5yfE7SWdygj7QCLcBGAsYHQ\/s0\/RECTA%2BEN%2BEL%2BPLANO%2BCARTESIANO.PNG\" alt=\"\u7b1b\u5361\u5c14\u5e73\u9762\u4e0a\u7684\u76f4\u7ebf\" class=\" aligncenter lazyload\" width=\"429\" height=\"267\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u4ece\u51e0\u4f55\u4e0a\u7406\u89e3\uff0c\u76f4\u7ebf\u662f\u8fde\u63a5\u4e24\u70b9\u5e76\u4e14\u884c\u8d70\u6700\u77ed\u8ddd\u79bb\u7684\u66f2\u7ebf\u3002\u5206\u6790\u8fd9\u4e00\u70b9\uff0c\u6839\u636e\u6cf0\u52d2\u65af\u5b9a\u7406\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\u5bf9\u4e8e\u6bcf\u4e00\u4e2a <span class=\"katex-eq\" data-katex-display=\"false\">y<\/span> \u5750\u6807\u7684\u589e\u91cf\uff0c\u90fd\u4f1a\u6709\u76f8\u5e94\u7684 <span class=\"katex-eq\" data-katex-display=\"false\">x<\/span> \u5750\u6807\u589e\u91cf\uff0c\u4f7f\u5f97 <span class=\"katex-eq\" data-katex-display=\"false\">m=(y_2 - y_1)\/(x_2 - x_1)=\\Delta y \/ \\Delta x<\/span> \u7684\u5546\u5bf9\u4e8e\u76f4\u7ebf\u4e0a\u7684\u4efb\u4f55\u4e00\u5bf9\u70b9\u59cb\u7ec8\u662f\u5e38\u6570\u3002\u8fd9\u5c31\u662f\u6211\u4eec\u6240\u79f0\u7684<strong>\u201c\u76f4\u7ebf\u7684\u659c\u7387\u201d\u3002<\/strong><\/p>\n<p style=\"text-align: justify;\">\u7531\u4e8e\u659c\u7387\u5bf9\u4e8e\u76f4\u7ebf\u4e0a\u4efb\u610f\u4e00\u5bf9\u70b9\u90fd\u662f\u76f8\u540c\u7684\uff0c\u56e0\u6b64\u5982\u679c\u6211\u4eec\u8003\u8651\u76f4\u7ebf\u4e0a\u5177\u6709\u5750\u6807 <span class=\"katex-eq\" data-katex-display=\"false\">(x, y),<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0),<\/span> <span class=\"katex-eq\" data-katex-display=\"false\">(x_1, y_1)<\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">(x_2, y_2)<\/span> \u7684\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u5199\u51fa:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{y - y_0}{x - x_0} = \\frac{y_2 - y_1}{x_2 - x_1}<\/span>\n<p style=\"text-align: justify;\">\u8fd9\u7b49\u540c\u4e8e\u8bf4<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\begin{matrix}y &amp; = &amp; \\displaystyle \\frac{y_2 - y_1}{x_2 - x_1} (x - x_0 ) + y_0 \\\\ \\\\ &amp; = &amp; \\displaystyle \\frac{\\Delta y}{\\Delta x} (x - x_0) + y_0 \\end{matrix}<\/span>\n<p style=\"text-align: justify;\">\u8fd9\u5c31\u662f\u8457\u540d\u7684<strong>\u76f4\u7ebf\u65b9\u7a0b<\/strong>\u7684\u6765\u6e90<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{red}{{y = m(x - x_0) + y_0}}<\/span>\n<p style=\"text-align: justify;\">\u8fd9\u91cc\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0)<\/span> \u662f\u4e00\u4e2a\u56fa\u5b9a\u70b9\uff0c\u800c <span class=\"katex-eq\" data-katex-display=\"false\">(x, y)<\/span> \u662f\u4efb\u610f\u70b9\u3002<\/p>\n<h3>\u4f8b\u9898<\/h3>\n<ol style=\"text-align: justify;\">\n<li>\u8ba1\u7b97\u901a\u8fc7\u70b9 <span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0) = (2, 3)<\/span> \u4e14\u659c\u7387\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">m = 3\/2<\/span> \u7684\u76f4\u7ebf\u65b9\u7a0b <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=695s\" target=\"_blank\" rel=\"noopener\"><strong>[\u89e3\u7b54]<\/strong><\/a><\/li>\n<li>\u8ba1\u7b97\u901a\u8fc7\u70b9 <span class=\"katex-eq\" data-katex-display=\"false\">(x_0, y_0) = (1, 8)<\/span> \u4e14\u659c\u7387\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">m = 7\/5<\/span> \u7684\u76f4\u7ebf\u65b9\u7a0b <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=750s\" target=\"_blank\" rel=\"noopener\"><strong>[\u89e3\u7b54]<\/strong><\/a><\/li>\n<li>\u8ba1\u7b97\u901a\u8fc7\u70b9 <span class=\"katex-eq\" data-katex-display=\"false\">(x_1, y_1) = (3, 5)<\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">(x_2, y_2) = (1, -2)<\/span> \u7684\u76f4\u7ebf\u65b9\u7a0b <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=818s\" target=\"_blank\" rel=\"noopener\"><strong>[\u89e3\u7b54]<\/strong><\/a><\/li>\n<\/ol>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u5982\u4f55\u7ed8\u5236\u76f4\u7ebf\u65b9\u7a0b<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1063s\" target=\"_blank\" rel=\"noopener\"><strong>\u6211\u4eec\u5df2\u7ecf\u4e86\u89e3\u4e86\u5982\u4f55\u4ece\u56fe\u5f62\u4fe1\u606f\u4e2d\u5f97\u5230<\/strong><\/a> \u76f4\u7ebf\u65b9\u7a0b\uff1b\u73b0\u5728\u6211\u4eec\u5c06\u53cd\u8fc7\u6765\uff0c\u6839\u636e\u76f4\u7ebf\u65b9\u7a0b\u5f97\u5230\u56fe\u5f62\u8868\u793a\u3002<\/p>\n<p style=\"text-align: justify;\">\u6700\u540e\uff0c\u76f4\u7ebf\u65b9\u7a0b\u901a\u5e38\u8868\u73b0\u4e3a\u4ee5\u4e0b\u5f62\u5f0f\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">y = mx + b<\/span>\n<p style=\"text-align: justify;\">\u5176\u4e2d <span class=\"katex-eq\" data-katex-display=\"false\">m = \\Delta Y \/ \\Delta x<\/span> \u662f\u659c\u7387\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">b<\/span> \u662f\u4f4d\u7f6e\u7cfb\u6570\u3002\u57fa\u4e8e\u6b64\uff0c\u6211\u4eec\u5f97\u5230\u5982\u4e0b\u56fe\u5f62<\/p>\n<p>   <img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-qJd27JlFvC8\/YH8eiEun69I\/AAAAAAAAE8o\/_swD6Cx2J_gQLY5Nw8RoSo7cPfmaOpzLgCLcBGAsYHQ\/s0\/RECTA%2BEN%2BEL%2BPLANO%2BCARTESIANO%2BCON%2BCOORDENADAS.PNG\" alt=\"\u5e26\u6709\u5750\u6807\u7684\u7b1b\u5361\u5c14\u5e73\u9762\u4e0a\u7684\u76f4\u7ebf\" class=\" aligncenter lazyload\" width=\"350\" height=\"264\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-qJd27JlFvC8\/YH8eiEun69I\/AAAAAAAAE8o\/_swD6Cx2J_gQLY5Nw8RoSo7cPfmaOpzLgCLcBGAsYHQ\/s0\/RECTA%2BEN%2BEL%2BPLANO%2BCARTESIANO%2BCON%2BCOORDENADAS.PNG\" alt=\"\u5e26\u6709\u5750\u6807\u7684\u7b1b\u5361\u5c14\u5e73\u9762\u4e0a\u7684\u76f4\u7ebf\" class=\" aligncenter lazyload\" width=\"350\" height=\"264\" \/><\/noscript><\/p>\n<h3>\u4f8b\u9898<\/h3>\n<ol style=\"text-align: justify;\">\n<li>\u7ed8\u5236\u65b9\u7a0b <span class=\"katex-eq\" data-katex-display=\"false\">y=\\displaystyle \\frac{3}{4}x + 2<\/span> \u7684\u76f4\u7ebf <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1139s\" target=\"_blank\" rel=\"noopener\"><strong>[\u89e3\u7b54]<\/strong><\/a><\/li>\n<li>\u7ed8\u5236\u65b9\u7a0b <span class=\"katex-eq\" data-katex-display=\"false\">y=\\displaystyle -\\frac{2}{5}x + 6<\/span> \u7684\u76f4\u7ebf <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1209s\" target=\"_blank\" rel=\"noopener\"><strong>[\u89e3\u7b54]<\/strong><\/a><\/li>\n<\/ol>\n<h3>\u76f4\u7ebf\u65b9\u7a0b\u7684\u5e94\u7528\u95ee\u9898<\/h3>\n<p style=\"text-align: justify;\">\u76f4\u7ebf\u53ef\u4ee5\u7528\u6765\u89e3\u51b3\u6d89\u53ca\u4e24\u4e2a\u91cf\u4e4b\u95f4\u76f4\u63a5\u5173\u7cfb\u7684\u95ee\u9898\uff0c\u5982\u4ee5\u4e0b\u4f8b\u5b50<\/p>\n<ol style=\"text-align: justify;\">\n<li>\u4e00\u4e2a\u521d\u59cb\u4f4d\u7f6e\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">x_0 = 12[m]<\/span> \u7684\u8f66\u8f86\u4ee5 <span class=\"katex-eq\" data-katex-display=\"false\">v=0.3[m\/s]<\/span> \u7684\u901f\u5ea6\u79fb\u52a8\u3002 <span class=\"katex-eq\" data-katex-display=\"false\">30[s]<\/span> \u540e\u5b83\u7684\u4f4d\u7f6e\u5728\u54ea\u91cc? <a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1257s\" target=\"_blank\" rel=\"noopener\"><strong>[\u89e3\u7b54]<\/strong><\/a><\/li>\n<li>\u67d0\u4eba\u53bb\u5e02\u573a\u4e70\u4e86 <span class=\"katex-eq\" data-katex-display=\"false\">1[kg]<\/span> \u82f9\u679c\uff0c\u603b\u5171\u82b1\u8d39 <span class=\"katex-eq\" data-katex-display=\"false\">50 Z\\$.<\/span> \u5f53\u5929\uff0c\u540c\u4e00\u4e2a\u4eba\u53c8\u53bb\u5e02\u573a\u4e70\u4e86 <span class=\"katex-eq\" data-katex-display=\"false\">3[kg]<\/span> \u82f9\u679c\uff0c\u603b\u5171\u82b1\u8d39 <span class=\"katex-eq\" data-katex-display=\"false\">60 Z\\$.<\/span>\u3002\u82f9\u679c\u7684\u4ef7\u683c\u662f\u591a\u5c11\uff0c\u4ea4\u901a\u8d39\u662f\u591a\u5c11\uff1f<a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1383s\" target=\"_blank\" rel=\"noopener\"><strong> [\u89e3\u7b54]<\/strong><\/a><\/li>\n<\/ol>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u76f4\u7ebf\u7684\u4ea4\u70b9<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1855s\" target=\"_blank\" rel=\"noopener\"><strong>\u5047\u8bbe\u6211\u4eec\u6709\u4e24\u6761\u76f4\u7ebf<\/strong><\/a>\uff0c\u6211\u4eec\u5e0c\u671b\u627e\u5230\u5b83\u4eec\u7684\u4ea4\u70b9\uff1b\u4e5f\u5c31\u662f\u8bf4\uff0c\u627e\u5230\u76f4\u7ebf\u7684\u4ea4\u70b9\u3002\u8981\u89e3\u51b3\u8fd9\u7c7b\u95ee\u9898\uff0c\u6211\u4eec\u9700\u8981\u6c42\u89e3\u65b9\u7a0b\u7ec4\u3002\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e00\u70b9\uff0c\u8ba9\u6211\u4eec\u770b\u4ee5\u4e0b\u4f8b\u5b50\u3002<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=1914s\" target=\"_blank\" rel=\"noopener\"><strong>\u8003\u8651\u4ee5\u4e0b\u76f4\u7ebf\uff1a<\/strong><\/a><\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">L_1 \\; : \\; y= \\displaystyle \\frac{3}{2}x + 1<\/span>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">L_1 \\; : \\; y=\\displaystyle -\\frac{1}{3}x + 9<\/span>\n<p style=\"text-align: justify;\">\u8fd9\u4e24\u6761\u76f4\u7ebf\u5728\u54ea\u91cc\u76f8\u4ea4\uff1f<\/p>\n<p style=\"text-align: justify;\">\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u505a\u51fa\u5982\u4e0b\u63a8\u7406\uff1a<\/p>\n<table style=\"text-align: justify;\">\n<tbody>\n<tr>\n<td>(1)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y=\\displaystyle \\frac{3}{2}x + 1<\/span><\/td>\n<td>; \u76f4\u7ebf <span class=\"katex-eq\" data-katex-display=\"false\">L_1<\/span><\/td>\n<\/tr>\n<tr>\n<td>(2)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y= \\displaystyle -\\frac{1}{3}x + 9<\/span><\/td>\n<td>; \u76f4\u7ebf <span class=\"katex-eq\" data-katex-display=\"false\">L_2<\/span><\/td>\n<\/tr>\n<tr>\n<td>(3)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{3}{2}x + 1 = -\\frac{1}{3}x + 9<\/span><\/td>\n<td>; \u6765\u81ea (1) \u548c (2)<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{3}{2}x = -\\frac{1}{3}x + 8<\/span><\/td>\n<td>; \u4e24\u8fb9\u540c\u65f6\u51cf\u53bb1<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">9x = -2x + 48<\/span><\/td>\n<td>; \u4e24\u8fb9\u540c\u65f6\u4e58\u4ee56<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">11x =48<\/span><\/td>\n<td>; \u4e24\u8fb9\u540c\u65f6\u52a02x<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle x = \\frac{48}{11}<\/span><\/td>\n<td>; \u4e24\u8fb9\u540c\u65f6\u9664\u4ee511<\/td>\n<\/tr>\n<tr>\n<td>(4)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle y= \\frac{3}{2}\\cdot \\frac{48}{11} + 1<\/span><\/td>\n<td>; \u6765\u81ea (1) \u548c (3)<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle y= \\frac{3}{1}\\cdot \\frac{24}{11} + \\frac{11}{11}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">y= \\displaystyle \\frac{83}{11}<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>(5)<\/td>\n<td><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle (x, y)= \\left(\\frac{48}{11}, \\frac{83}{11} \\right)<\/span><\/td>\n<td>; \u6765\u81ea (3) \u548c (4)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u76f4\u7ebf\u7684\u4ea4\u70b9\u662f <span class=\"katex-eq\" data-katex-display=\"false\">(x, y)= \\displaystyle \\left(\\frac{48}{11}, \\frac{83}{11} \\right).<\/span>\n<h3>\u76f4\u7ebf\u4ea4\u70b9\u7684\u5e94\u7528\u95ee\u9898\u793a\u4f8b<\/h3>\n<p style=\"text-align: justify;\">\u4e3a\u4e86\u4e3e\u529e\u4e00\u573a\u6d3e\u5bf9\uff0c\u603b\u5171\u552e\u51fa\u4e86600\u5f20\u95e8\u7968\uff0c\u603b\u6536\u5165\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">\\$1.300.000.<\/span> \u9752\u5e74\u7968\u552e\u4ef7\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">\\$1.000,<\/span> \u6210\u4eba\u7968\u552e\u4ef7\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">\\$3.000.<\/span> \u53c2\u52a0\u6d3e\u5bf9\u7684\u6709\u591a\u5c11\u6210\u4eba\u548c\u9752\u5e74\uff1f<a href=\"https:\/\/www.youtube.com\/watch?v=mNISGHOByAI&amp;t=2255s\" target=\"_blank\" rel=\"noopener\"><strong> [\u89e3\u7b54]<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76f4\u7ebf\u65b9\u7a0b\u548c\u7b1b\u5361\u5c14\u5750\u6807\u7cfb \u6458\u8981: \u5728\u672c\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u4ecb\u7ecd\u89e3\u6790\u51e0\u4f55\u7684\u57fa\u7840\uff0c\u5c55\u793a\u5982\u4f55\u4f7f\u7528\u5750\u6807\u8868\u793a\u5e73\u9762\u4e0a\u7684\u70b9\uff0c\u4ee5\u53ca\u5982\u4f55\u6839\u636e\u659c\u7387\u548c\u5df2\u77e5\u70b9\u6784\u5efa\u76f4\u7ebf\u65b9\u7a0b\u3002\u6211\u4eec\u5c06\u63a2\u8ba8\u5173\u952e\u6982\u5ff5\uff0c\u4f8b\u5982\u659c\u7387\u3001\u4f7f\u7528\u65b9\u7a0b \u4ee5\u53ca\u76f4\u7ebf\u7684\u56fe\u5f62\u8868\u793a\u3002\u6b64\u5916\uff0c\u8fd8\u5305\u62ec\u5b9e\u9645\u7ec3\u4e60\u548c\u5e94\u7528\uff0c\u4ee5\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\uff0c\u5982\u4f4d\u7f6e\u8ba1\u7b97\u548c\u76f4\u7ebf\u7684\u4ea4\u70b9\u3002 \u5b66\u4e60\u76ee\u6807 \u7406\u89e3\u89e3\u6790\u51e0\u4f55\u7684\u57fa\u672c\u539f\u7406\u53ca\u5176\u5728\u7b1b\u5361\u5c14\u5e73\u9762\u4e0a\u8868\u793a\u70b9\u7684\u5e94\u7528\u3002 \u8bc6\u522b\u76f4\u7ebf\u7684\u659c\u7387\u516c\u5f0f\u53ca\u5176\u51e0\u4f55\u610f\u4e49\u3002 \u5e94\u7528\u901a\u7528\u76f4\u7ebf\u65b9\u7a0b \u6765\u63cf\u8ff0\u7ebf\u6027\u5173\u7cfb\u3002 \u8ba1\u7b97\u57fa\u4e8e\u5df2\u77e5\u70b9\u548c\u659c\u7387\u7684\u76f4\u7ebf\u65b9\u7a0b\u3002 \u7ed8\u5236\u57fa\u4e8e\u5176\u65b9\u7a0b\u7684\u76f4\u7ebf\u5728\u7b1b\u5361\u5c14\u5e73\u9762\u4e0a\u7684\u56fe\u5f62\u3002 \u89e3\u51b3\u901a\u8fc7\u65b9\u7a0b\u7ec4\u6c42\u89e3\u4e24\u6761\u76f4\u7ebf\u4ea4\u70b9\u7684\u95ee\u9898\u3002 \u5206\u6790\u4e24\u4e2a\u7ebf\u6027\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u76f4\u7ebf\u65b9\u7a0b\u6765\u8868\u793a\u5b83\u4eec\u3002 \u5185\u5bb9\u76ee\u5f55 \u89e3\u6790\u51e0\u4f55\u7684\u57fa\u672c\u539f\u7406 \u76f4\u7ebf\u65b9\u7a0b 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