{"id":2197,"date":"2020-09-02T11:37:28","date_gmt":"2020-09-02T03:37:28","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=2197"},"modified":"2020-11-02T22:10:29","modified_gmt":"2020-11-02T14:10:29","slug":"formulae-changing-subject-skills","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/formulae-changing-subject-skills\/","title":{"rendered":"5. \u516c\u5f0f > \u4e3b\u9805\u8b8a\u63db\u5e38\u7528\u6280\u5de7"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"2197\" class=\"elementor elementor-2197\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2b7c22a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2b7c22a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-0d7bee7\" data-id=\"0d7bee7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-aed6f44 elementor-widget elementor-widget-text-editor\" data-id=\"aed6f44\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>5.2. \u4e3b\u9805\u8b8a\u63db\u7684\u5e38\u7528\u6280\u5de7<\/h2><p>\u4e3b\u9805\u8b8a\u63db\u5605\u984c\u76ee\u5176\u5be6\u4e00D\u90fd\u5514\u96e3\u3001\u569f\u569f\u53bb\u53bb\u90fd\u4fc2\u5f97\u5e7e\u62db\u3002\u70ba\u6c42\u4ee4\u5927\u5bb6\u5bb9\u6613\u5b78\u7fd2 \u4e3b\u9805\u8b8a\u63db\u7684\u5e38\u7528\u6280\u5de7 \uff0c\u6211\u90fd\u4fc2\u7528\u6253\u6a5f\u5347level\u5605\u5f62\u5f0f\u53bb\u8b1b\u89e3\u3002<\/p><p>\u70ba\u6c42\u7c21\u55ae\uff0c\u55ba\u4ee5\u4e0b\u6240\u6709\u5605\u4f8b\u5b50\u5165\u9762\uff0cx\u6703\u662f\u516c\u5f0f\u539f\u6709\u5605\u4e3b\u9805\uff0c\u6211\u54cb\u8981\u5c07\u4e3b\u9805\u8b8a\u70bay\u3002\u4e00\u822c\u55ba\u984c\u76ee\u5165\u9762\uff0c\u65b0\u5605\u4e3b\u9805\u90fd\u5beb\u55ba\u984c\u76ee\u5605\u6700\u5c3e\u5c3e&#8221;[]&#8221;\u62ec\u4f4f\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1bbe70a example_accordion elementor-widget elementor-widget-accordion\" data-id=\"1bbe70a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2901\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2901\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Level 1 \u2013 \u201c\u5de6\uff1d\u53f3\u201d\u5373\u201c\u53f3\uff1d\u5de6\u201d<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2901\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2901\"><p>\u984c\uff1a\u3000 \\(x = 3y\u00a0\u00a0 \\quad \\quad\u00a0\u00a0\u00a0 [y]\\) <br \/>\u7b54\uff1a\u3000 \u00a0<\/p><p>\\(\\begin{align}<br \/>x &amp; = 3y \\\\<br \/>3y &amp; = x \\quad \\quad {\\color{Red} \\leftarrow \u201c\u5de6\uff1d\u53f3\u201d\u5373\u201c\u53f3\uff1d\u5de6\u201d }\\\\<br \/>y &amp; = \\dfrac{x}{3} \\quad \\quad {\\color{Red} \\leftarrow \u4e3b\u9805\u662fy\uff0c\u4e0d\u662f3y\uff0c\u6240\u4ee5\u8981\u642c\u500b3\u53bb\u53f3\u908a } \\\\<br \/>\\end{align}\\)<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2902\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-2902\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Level 2 \u2013 \u5514\u4fc2\u65b0\u4e3b\u9805\u5605\u9805\u540c\u6211\u8d70\uff0c\u5269\u4f4e\u6709\u65b0\u4e3b\u9805\u5605\u55ba\u4e00\u908a<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2902\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-2902\"><p>\u984c\uff1a\u3000\\(x = 3y + 6a\u00a0\u00a0 \\quad \\quad [y]\\)<\/p><p>\u7b541\uff1a<br \/>\\(\\begin{align}<br \/>x &amp; = 3y + 6a \\\\<br \/>x &#8211; 6a &amp; = 3y\u00a0 \\quad \\quad {\\color{Red} \\leftarrow \u6709y\u5605\u9805\u6578\u53bb\u6652\u4e00\u908a} \\\\<br \/>3y &amp; = x &#8211; 6a\u00a0 \\quad \\quad {\\color{Red} \\leftarrow Level 1\u6280\u5de7} \\\\<br \/>y &amp; = \\dfrac{6a &#8211; x}{3} \\\\<br \/>y &amp; = \\dfrac{x &#8211; 6a}{3} <br \/>\\end{align}\\)<\/p><p>\u7b542\uff1a<br \/>\\(\\begin{align}<br \/>x &amp; = 3y + 6a \\\\<br \/>-3y &amp; = 6a &#8211; x\u00a0 \\quad \\quad {\\color{Red} \\leftarrow \u6709y\u5605\u9805\u6578\u53bb\u5de6\u908a\uff0c\u5176\u4ed6\u53bb\u53f3\u908a } \\\\<br \/>y &amp; = \\dfrac{6a &#8211; x}{-3} \\\\<br \/>y &amp; = \\dfrac{x &#8211; 6a}{3}\u00a0 \\quad \\quad {\\color{Red} \\leftarrow \u201c\u4e0a\u4e0b \u4e58 \uff0d1\u201d\u569f\u5c07\u4efd\u6bcd\u4e2d\u5605\u8ca0\u865f\u6574\u8d70 } \\\\<br \/>\\end{align}\\)<\/p><p>\u5fc3\u5f97\uff1a<\/p><ul><li>\u5230\u5e95\u6211\u54cb\u8981\u7559\u6709y\u5605\u6578\u55ba\u53f3\u908a\uff08\u5373\u7b54\u6cd51\uff09\u5b9a\u642c\u6709y\u7684\u6578\u53bb\u5de6\u908a(\u5373\u7b54\u6cd52)\uff1f<\/li><li>\u6211\u5605\u65b9\u6cd5\u4fc2\uff1a\u5982\u679c\u500by\u524d\u9762\u4fc2\u6709\u201c\uff0d\u201d\uff0c\u5c31\u642c\u4f62\u53bb\u5de6\u908a\u3002\u5982\u679c\u500by\u524d\u9762\u4fc2\u201c\uff0b\u201d\uff0c\u5c31\u7559\u4f62\u55ba\u53f3\u908a\uff0c\u5176\u4ed6\u6578\u642c\u53bb\u5de6\u908a\u3002\u5481\u6a23\u505a\u500b\u7b54\u6848\u6703\u201c\u975aD\u201d\uff08\u4efd\u6bcd\u4e2d\u5514\u6703\u6709\u8ca0\u6578\uff09\u3002\u800c\u66f4\u6700\u91cd\u8981\u5605\u4fc2\uff1a\u6703\u8003\u5605marking\u90fd\u4fc2\u5481\u505a\u3002<\/li><li>\u6240\u4ee5\u4fc2\u4e0a\u9762\u55f0\u689d\u6578\uff0c\u6211\u54cb\u61c9\u8a72\u7528\u201c\u7b54\uff11\u201d\u5605\u65b9\u6cd5\u3002<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2903\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-2903\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Level 3 \u2013 \u5982\u6709\u5169\u9805\u6578\u6709\u65b0\u7684\u4e3b\u9805\uff0c\u62bd\u516c\u540c\u56e0\u5b50<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2903\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-2903\"><p>\u984c\uff1a\u3000 \\(x = 3y + 6a -by \\quad \\quad [y]\\)<br \/>\u7b54\uff1a<\/p><p>\\(\\begin{align}<br \/>x &amp; = 3y + 6a -by \\\\<br \/>x &#8211; 6a &amp; = 3y &#8211; by\u00a0 \\quad \\quad {\\color{Red} \\leftarrow Level 2\u6280\u5de7} \\\\<br \/>x &#8211; 6a &amp; = y(3 &#8211; b) \\quad \\quad {\\color{Red} \\leftarrow \u6240\u6709\u53f3\u908a\u5605\u6578\u90fd\u6709y\uff0c\u6240\u4ee5\u53ef\u62bd\u516c\u540c\u56e0\u5b50} \\\\<br \/>y &amp; = \\dfrac{x &#8211; 6a}{3 &#8211; b} \\quad \\quad {\\color{Red} \\leftarrow\u00a0 \u642c(3 \u2013 b)\u53bb\u5de6\u908a\u5f8c\u99ac\u4e0a\u7528Level 1\u6280\u5de7 } <br \/>\\end{align}\\)<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2904\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-2904\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Level 4 \u2013 \u9047\u5230\u4efd\u6578\u5f62\u5f0f\u5605\u516c\u5f0f\u6642\u8981\u201c\u4ea4\u53c9\u4e58\u201d<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2904\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-2904\"><p>\u984c\uff1a\u00a0\u00a0\u00a0 \\(x = \\dfrac{6a &#8211; y}{3 &#8211; y}\u00a0 \\quad \\quad [y] \\)<br \/>\u7b54\uff1a<\/p><p>\\(\\begin{align}<br \/>x (3 &#8211; y) &amp; = 6a &#8211; y \\quad \\quad {\\color{Red} \\leftarrow \u201c\u4ea4\u53c9\u4e58\u201d(3 \u2013 y) \u53bb\u5de6\u908a } \\\\<br \/>3x &#8211; xy &amp; = 6a &#8211; y \\\\<br \/>y = xy &amp; = 6a &#8211; 3x \\quad \\quad {\\color{Red} \\leftarrow \u5229\u7528Level 2\u6280\u5de7} \\\\<br \/>y (1 &#8211; x) &amp; = 6a &#8211; 3x \\quad \\quad {\\color{Red} \\leftarrow \u5229\u7528 Level 3\u6280\u5de7} \\\\<br \/>y &amp; = \\dfrac{6a &#8211; 3x}{1 &#8211; x}<br \/>\\end{align}\\)<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8a776cb elementor-widget elementor-widget-text-editor\" data-id=\"8a776cb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"color: #ff0000;\"><strong>\u5b78\u8b58\u4ee5\u4e0a\u5e7e\u500b\u6280\u5de7\uff0c\u5927\u5bb6\u61c9\u8a72\u53ef\u4ee5\u597d\u5bb9\u6613\u5481\u61c9\u4ed8\u4e3b\u9805\u8b8a\u63db\u5605\u984c\u76ee\u3002<\/strong><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-03fa940 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"03fa940\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-9e9d7b5\" data-id=\"9e9d7b5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3c6dac7 elementor-widget elementor-widget-text-editor\" data-id=\"3c6dac7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/formulae-changing-subject\/\"><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i> \u516c\u5f0f &#8211; \u4e3b\u9805\u8b8a\u63db<\/a>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-9983d8a\" data-id=\"9983d8a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-9c2fff8\" data-id=\"9c2fff8\" data-element_type=\"column\" 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href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  id=\"menu-item-3288\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3288\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental-shape_n_space\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3289\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3289\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_data_handling\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u6578\u64da\u8655\u7406<\/a><\/li>\n<\/ul><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>5.2. 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