{"id":6572,"date":"2022-04-06T13:29:19","date_gmt":"2022-04-06T05:29:09","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental-shape_n_space\/locus\/concept_of_loci-2-2\/"},"modified":"2022-07-07T01:37:41","modified_gmt":"2022-07-06T17:37:41","slug":"algebraic_equations_of_locus","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental-shape_n_space\/locus\/algebraic_equations_of_locus\/","title":{"rendered":"\u8ecc\u8de1\u7684\u4ee3\u6578\u65b9\u7a0b"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"6572\" class=\"elementor elementor-6572\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6e6d9785 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6e6d9785\" 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-41dc1ba6\" data-id=\"41dc1ba6\" 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-aa1ecbd elementor-widget elementor-widget-text-editor\" data-id=\"aa1ecbd\" 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>12.1 \u4ee5\u4ee3\u6578\u65b9\u7a0b\u63cf\u8ff0\u9ede\u7684\u8ecc\u8de1 (Describe the Locus of Points with Algebraic Equations)<\/h2><p>\u524d\u9762\u5df2\u8b1b\u5497\u8ecc\u8de1\u5605\u6982\u5ff5\u3002\u4f46\u7576\u4e2d\u4e26\u5187\u63d0\u53ca \u8ecc\u8de1\u7684\u4ee3\u6578\u65b9\u7a0b \u3002<\/p><ul><li>\u800c\u4f9d\u4e00\u8ab2\u5b78\u5605\u5c31\u4fc2\u8981\u5b78\u9ede\u6435 \u8ecc\u8de1\u7684\u4ee3\u6578\u7a0b<\/li><\/ul><p>\u55ba\u6578\u5b78\u4e0a\uff0c\u4e00\u500b\u8ecc\u8de1\u5176\u5be6\u901a\u5e38\u4fc2\u4e00\u689d\u4ee3\u6578\u65b9\u7a0b\u3002\u800c\u6c42\u4f9d\u689d\u65b9\u7a0b\u5605\u65b9\u6cd5\u591a\u6578\u4fc2\uff1a<\/p><ul><li>\u60f3\u50cf\u55ba\u8ecc\u8de1\u4e0a\u9762\u6709\u4e00\u9ede(x,y)\uff08\u4f9d\u9ede\u5c31\u4fc2\u6211\u54cb\u4e4b\u524d\u63d0\u5230\u55ba\u8ecc\u8de1\u4e0a\u96a8\u610f\u8d70\u52d5\u5605\u9ede\uff09\u3002<\/li><li>\u7136\u5f8c\u5c07\u8ecc\u8de1\u8981\u4e4e\u5408\u5605\u201c\u689d\u4ef6\u201d\u7528\u6578\u5b78\u5605\u65b9\u6cd5\u8868\u9054\u51fa\u569f\uff08\u5373\u4fc2\u5217\u689d\u6578\u5f0f\u51fa\u569f\uff09\u3002<\/li><li>\u6700\u5f8c\u5c07\u5217\u51fa\u569f\u5605\u6578\u5f0f\u5316\u7c21\u3002<\/li><\/ul><p>\u00a0<\/p><p>\u00a7 \u8ecc\u8de1\u5605\u554f\u984c\u53ef\u4ee5\u8a71\u5343\u8b8a\u842c\u5316\u3002\u4e0d\u904e\u5e78\u597d\u4f9d\u500b\u8ab2\u984c\u53ea\u4fc2\u5fc5\u4fe2\u90e8\u4efd\u3001\u4ef2\u8981\u55ba\u57fa\u790e\u8ab2\u984c\u3002\u6240\u4ee5\u61c9\u8a72\u5514\u6703\u8003\u5f97\u592a\u6df1\u540c\u8b8a\u5f97\u5927\u96e2\u8b5c\u3002<\/p><ul><li>\u6839\u64da\u8ab2\u7a0b\uff0c\u5927\u5bb6\u8981\u8b58\u5605\u4fc2\u201c\u6c42\u7c21\u55ae\u8ecc\u8de1\u7684\u65b9\u7a0b\u201d\uff0c\u5305\u62ec\uff1a<ul><li>\u76f4\u7dda<\/li><li>\u5713<\/li><li>\u5f62\u5f0f\u5982 y = ax<sup>2<\/sup> + bx + c \u7684\u62cb\u7269\u7dda<ul><li>\u4f46\u6309 DSE Maths Paper Paper \u5605\u984c\u76ee\u569f\u7747, \u8981\u4f60\u6435\u62cb\u7269\u7dda\u5605\u8ecc\u8de1 (Locus)\u5605\u6a5f\u6703\u4fc2\u5fae\u4e4e\u5176\u5fae\u3002<\/li><\/ul><\/li><\/ul><\/li><\/ul>\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-68afb7c elementor-widget elementor-widget-text-editor\" data-id=\"68afb7c\" 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<h3>12.3.1.\u00a0 \u6c42\u76f4\u7dda\u8ecc\u8de1\u7684\u65b9\u7a0b<\/h3><p>\u76f4\u7dda\u96e2\u6709\u4ee5\u4e0b\u4e09\u7a2e\uff1a<\/p><ul><li>\u6c34\u5e73\u7dda<ul><li>\u65b9\u7a0b\u500b\u6a23\u4fc2 y = k (k\u70ba\u5e38\u6578)\u3002<\/li><li>\u4f8b\u5b50\uff1a y = 3\u3002<\/li><\/ul><\/li><li>\u925b\u5782\u7dda<ul><li>\u65b9\u7a0b\u500b\u6a23\u4fc2 x = k (k\u70ba\u5e38\u6578)\u3002<\/li><li>\u4f8b\u5b50\uff1a x = 5\u3002<\/li><\/ul><\/li><li>\u659c\u7dda\u3002<ul><li>\u65b9\u7a0b\u500b\u6a23\u4fc2 ax + by + c = 0 (a, b, c\u70ba\u5e38\u6578)\u3002<\/li><li>\u4f8b\u5b50\uff1a 2x + y + 3 = 0\u3002<\/li><\/ul><\/li><\/ul><p>\u5982\u679c\u8981\u6c42\u5605\u8ecc\u8de1\u4fc2\u4e00\u689d\u6c34\u5e73\u7dda\u6216\u925b\u5782\u7dda\uff0c\u5176\u5be6\u53ea\u8981\u7406\u89e3\u984c\u76ee\uff0c\u5481\u5c31\u689d\u6578\u4fc2\u5514\u591a\u99db\u8a08\u5605\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-bcfc4cd elementor-widget elementor-widget-accordion\" data-id=\"bcfc4cd\" 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-1981\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1981\" 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\">\u4f8b\u5b50\uff1a P\u9ede\u8207\u6c34\u5e73\u7dda y = 3 \u53ca y = 7 \u662f\u7b49\u8ddd\u7684\u3002\u6c42P\u9ede\u7684\u8ecc\u8de1\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1981\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1981\"><p>\u89e3\u8aaa\uff1a\u5148\u60f3\u4e00\u60f3\u500b\u8ecc\u8de1\u6703\u4fc2\u54a9\u6a23\u3002<\/p><ul><li>\u7167\u8a08\u5927\u5bb6\u61c9\u8a72\u53ef\u4ee5\u8ad7\u5230\u7b54\u6848\u6703\u4fc2\u4e00\u689d\u55bay = 3 \u540c y = 7\u65e5\u9593\u5605\u6c34\u5e73\u7dda\u3002<br \/>\uff08\u7747\u5514\u5230\u5c31\u756b y = 3 \u540c y = 7 \u51fa\u569f\uff09<\/li><li>\u6240\u4ee5P\u9ede\u7684\u8ecc\u8de1\u662f y = 5\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-1982\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-1982\" 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\">\u4f8b\u5b50\uff1a Q\u9ede\u8207\u9ede (4, 5) \u53ca (8,5) \u7684\u8ddd\u96e2\u76f8\u7b49\u3002\u6c42Q\u9ede\u7684\u8ecc\u8de1\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1982\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-1982\"><p>\u89e3\u8aaa\uff1a\u5148\u60f3\u4e00\u60f3\u500b\u8ecc\u8de1\u6703\u4fc2\u54a9\u6a23\u3002<\/p><ul><li>\u7167\u8a08\u5927\u5bb6\u61c9\u8a72\u53ef\u4ee5\u8ad7\u5230\u7b54\u6848\u6703\u4fc2\u4e00\u689d\u5169\u9ede\u4e4b\u9593\u5605\u925b\u5782\u7dda\u3002<\/li><li>\u6240\u4ee5Q\u9ede\u7684\u8ecc\u8de1\u662f x = 6\u3002<\/li><\/ul><\/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-656da4d elementor-widget elementor-widget-text-editor\" data-id=\"656da4d\" 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>\u5982\u679c\u8981\u6c42\u5605\u8ecc\u8de1\u4fc2\u4e00\u689d\u659c\u7dda\uff0c\u5481\u5c31\u591a\u6578\u8981\u201c\u8a08\u4e00\u8a08\u201d\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-49e526f elementor-widget elementor-widget-accordion\" data-id=\"49e526f\" 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-7741\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-7741\" 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\">\u4f8b\u5b50: \u9edeR\u8207\u7dda 3x + y + 3 = 0 \u53ca 3x + y + 9 = 0 \u7684\u8ddd\u96e2\u76f8\u7b49\u3002\u6c42R\u9ede\u7684\u8ecc\u8de1\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-7741\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-7741\"><p>\u89e3\u8aaa\uff1a\u5148\u60f3\u4e00\u60f3\u500b\u8ecc\u8de1\u6703\u4fc2\u54a9\u6a23\u3002<\/p><ul><li>\u7559\u610f\u5169\u689d\u7dda\u5605\u65b9\u7a0b\u53ea\u4fc2\u6700\u5f8c\u5605\u6578\u5b57\u5514\u540c\u3002\u5481\u4fc2\u4ee3\u8868\u5169\u689d\u7dda\u4fc2\u5e73\u884c\u7dda\u3002<\/li><li>\u7167\u8a08\u5927\u5bb6\u61c9\u8a72\u8ad7\u5230\u500b\u7b54\u6848\u6703\u4fc2\u55ba\u4f62\u54cb\u4e2d\u9593\u5605\u5e73\u884c\u7dda\u3002\u800c\u689d\u7dda\u5605\u65b9\u7a0b\u540c\u4f62\u54cb\u90fd\u4fc2\u5dee\u5514\u591a\u6a23\uff0c\u53ea\u4fc2\u6700\u5f8c\u5605\u6578\u5b57\u6703\u7b49\u65bc\u201c3\u540c9\u201d\u5605\u5e73\u5747\u6578\u3002<\/li><li>\u6240\u4ee5R\u9ede\u7684\u8ecc\u8de1\u662f 3x + y + 6 = 0\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-7742\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-7742\" 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\">\u4f8b\u5b50\uff1a S\u9ede\u8207\u9ede A(4, 5) \u53ca B(8,1) \u7684\u8ddd\u96e2\u76f8\u7b49\u3002\u6c42S\u9ede\u7684\u8ecc\u8de1\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-7742\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-7742\"><p>\u89e3\u8aaa\uff1a\u5148\u60f3\u4e00\u60f3\u500b\u8ecc\u8de1\u6703\u4fc2\u54a9\u6a23\u3002<\/p><ul><li>\u5982\u679c\u4f60\u4ee5\u70ba\u7b54\u6848\u4fc2\u4e00\u689d\u6c34\u5e73\u6216\u925b\u5782\u7dda\uff0c\u5c31\u5514\u8a72\u756b\u4e00\u756b\u5169\u9ede\u540c\u500b\u201c\u4f60\u60f3\u5230\u5605\u7b54\u6848\u201d\u51fa\u569f\u3002\uff08\u7559\u610f\u4eca\u6b21\u5605\u984c\u76ee\u5165\u9762\u55f0\u5169\u9ede\u5605x\u3001y-\u5750\u6a19\u90fd\u4fc2\u5514\u540c\u5605\u3002\uff09<\/li><li>\u8981\u6435\u500b\u7b54\u6848\uff0c\u6211\u54cb\u8981\u7528\u6700\u521d\u6709\u63d0\u5497\u5605\u201c\u5c07\u8ecc\u8de1\u8981\u4e4e\u5408\u5605\u689d\u4ef6\u7528\u6578\u5b78\u5605\u65b9\u6cd5\u8868\u9054\u51fa\u569f\u201d\u5605\u65b9\u6cd5\uff1a<ul><li>\u8a2dS\u9ede\u70ba (x, y)\u3002<\/li><li>SA\u9577\u5ea6 = SB\u9577\u5ea6<br \/>(x \u2013 4)<sup>2<\/sup> + (y \u2013 5)<sup>2<\/sup> = (x \u2013 8)<sup>2<\/sup> + (y \u2013 1)<sup>2<br \/><\/sup>x<sup>2<\/sup> \u2013 8x + 16 + y<sup>2<\/sup> \u2013 10y + 25 = x<sup>2<\/sup> \u2013 16x + 64 + y<sup>2<\/sup> \u2013 2y + 1<br \/>\u2013 8x + 16 \u2013 10y + 25 = \u2013 16x + 64 \u2013 2y + 1<br \/>8x \u2013 8y \u2013 24 = 0<br \/>x \u2013 y \u2013 3 = 0<\/li><\/ul><\/li><\/ul><p>\u4ee5\u4e0a\u6211\u54cb\u7528\u5497\u521d\u4e2d\u5750\u6a19\u5e7e\u4f55\u5165\u9762\u5b78\u904e\u5605\u5169\u9ede\u8ddd\u96e2\u516c\u5f0f\u3002\u5514\u8a18\u5f97\u5605\u53ef\u4ee5\u7747\u7747\u201c\u5514\u597d\u4ee5\u70ba\u5514\u99db\u8003\u8ab2\u984c\u201d\u5165\u9762\u5605\u6559\u7a0b\u3002<\/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-b33bb9d elementor-widget elementor-widget-text-editor\" data-id=\"b33bb9d\" 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>\u81f3\u65bc\u89d2\u5e73\u5206\u7dda\u5605\u8ecc\u8de1\uff08\u537312.2.6\u5165\u9762\u8a71\u5605\u8ecc\u8de1\uff09\u6211\u5c31\u89ba\u5f97\u61c9\u8a72\u5514\u6703\u51fa\u3002<\/p><ul><li>\u5481\u55ba\u56e0\u70ba\u597d\u4f3c\u8ab2\u7a0b\u5165\u9762\u5187\u63d0\u5230\u8981\u5927\u5bb6\u8b58\u5f97\u8a08\u201c\u4e00\u9ede\u8207\u4e00\u689d\u76f4\u7dda\u5605\u8ddd\u96e2\u201d\uff08\u55baHKCEE\u6703\u8003\u5165\u9762\u4f9d\u500b\u4fc2\u9644\u52a0\u6578\u5605\u8ab2\u984c\uff09\u3002<\/li><\/ul>\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-6053f41 elementor-widget elementor-widget-text-editor\" data-id=\"6053f41\" 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<h3>12.3.2 \u6c42\u5713\u8ecc\u8de1\u7684\u65b9\u7a0b<\/h3><ul><li>\u5982\u679c\u984c\u76ee\u8981\u6c42\u5605\u8ecc\u8de1\u4fc2\u201c\u6709\u4e00\u9ede\u540c\u53e6\u4e00\u56fa\u5b9a\u9ede\u4fdd\u6301\u56fa\u5b9a\u8ddd\u96e2\u201d\u5605\u8a71\uff0c\u5481\u500b\u8ecc\u8de1\u5c31\u4fc2\u4e00\u500b\u5713\u5f62\u3002\u4f9d\u500b\u6642\u5019\u6211\u54cb\u53c8\u4fc2\u8981\u7528\u201c\u5c07\u8ecc\u8de1\u8981\u4e4e\u5408\u5605\u689d\u4ef6\u7528\u6578\u5b78\u5605\u65b9\u6cd5\u8868\u9054\u51fa\u569f\u201d\u5605\u65b9\u6cd5\u3002<\/li><\/ul>\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-e1a476c elementor-widget elementor-widget-accordion\" data-id=\"e1a476c\" 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-2361\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2361\" 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\">\u4f8b\u5b50\uff1a S\u9ede\u8207\u9ede A(4, 5) \u7684\u8ddd\u96e2\u70ba3\u3002\u6c42S\u9ede\u7684\u8ecc\u8de1\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2361\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2361\"><p>\u89e3\u8aaa\uff1a\u500b\u8ecc\u8de1\u597d\u660e\u986f\u4fc2\u4e00\u500b\u5713\u3002<\/p><ul><li>\u8a2dS\u9ede\u70ba (x, y)\u3002<\/li><li>SA\u9577\u5ea6 = 3<br \/>(x \u2013 4)<sup>2<\/sup> + (y \u2013 5)<sup>2<\/sup> = 9<br \/>x<sup>2<\/sup> \u2013 8x + 16 + y<sup>2<\/sup> \u2013 10y + 25 = 9<br \/>x<sup>2<\/sup> + y<sup>2<\/sup> \u2013 8x \u2013 10y + 32 = 0<\/li><\/ul><\/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-3939b41 elementor-widget elementor-widget-text-editor\" data-id=\"3939b41\" 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>\u5230\u5e95\u9ede\u89e3\u4e0a\u9762\u5605\u65b9\u7a0b\u4fc2\u4e00\u500b\u5713\u5f62\u5927\u5bb6\u53ef\u80fd\u5514\u660e\u3002<\/p><ul><li>\u5148\u63a5\u53d7\u5427\uff01\u6211\u54cb\u6703\u55ba\u201c\u7b2c13\u8ab2 \u2013 \u76f4\u7dda\u8207\u5713\u7684\u65b9\u7a0b\u201d\u5ea6\u5b78\u5713\u5605\u65b9\u7a0b\u3002<\/li><\/ul>\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-c9fce63 elementor-widget elementor-widget-text-editor\" data-id=\"c9fce63\" 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<h3>12.3.3 \u6c42\u62cb\u7269\u7dda\u8ecc\u8de1\u7684\u65b9\u7a0b<\/h3><p>\u6b63\u5982\u500b\u540d\u6240\u8b1b\uff0c\u201c\u62cb\u7269\u7dda\u8ecc\u8de1\u201d\u55ba\u7576\u6211\u54cb\u62cb\u4e00\u500b\u7269\u9ad4\u51fa\u53bb\u4e4b\u5f8c\uff0c\u4f62\u6240\u8d70\u5605\u8def\u7dda\u5605\u6a23\u3002<\/p><ul><li>\u6578\u5b78\u4e0a\u4f62\u5176\u5be6\u5c31\u4fc2\u6211\u54cb\u5b78\u904e\u5605\u4e00\u5143\u4e8c\u4e4b\u65b9\u7a0b\u5716\u50cf\uff08\u5373y = ax<sup>2<\/sup> + bx + c\uff09\u3002<ul><li>\u73fe\u5be6\u751f\u6d3b\u4e2d\u5605\u62cb\u7269\u7dda\u7576\u7136\u8981\u4fc2\u201c\u500b\u5716\u50cf\u5605\u958b\u53e3\u5411\u4e0b\u201d\u3002<\/li><\/ul><\/li><li>\u800c\u201c\u62cb\u7269\u7dda\u8ecc\u8de1\u201d\u6240\u4e4e\u5408\u7684\u689d\u4ef6\u662f\u201c\u6709\u4e00\u9ede\u8207\u4e00\u56fa\u5b9a\u9ede\u53ca\u76f4\u7dda\u7684\u8ddd\u96e2\u4fc2\u76f8\u7b49\u7684\u201d\u3002<\/li><\/ul>\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-2cecb34 elementor-widget elementor-widget-accordion\" data-id=\"2cecb34\" 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-4711\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-4711\" 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\">\u4f8b\u5b50\uff1a P\u9ede\u8207\u9edeA(2,3)\u53ca\u76f4\u7dday=1\u7684\u8ddd\u96e2\u76f8\u7b49\u3002\u6c42P\u9ede\u7684\u8ecc\u8de1\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-4711\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-4711\"><p>\u5176\u5be6\u7576\u5927\u5bb6\u7747\u5514\u5230\u500b\u8ecc\u8de1\u4fc2\u54a9\u800c\u7528\u201c\u8ecc\u8de1\u8981\u4e4e\u5408\u5605\u689d\u4ef6\u7528\u6578\u5b78\u5605\u65b9\u6cd5\u8868\u9054\u51fa\u569f\u201d \u5605\u6642\u5019\uff0c\u6211\u54cb\u53ef\u4ee5\u5514\u99db\u7406\u500b\u8ecc\u8de1\u4fc2\u54a9\u3002\u53ea\u8981\u8ddf\u4f4f\u500b\u65b9\u6cd5\u7167\u505a\uff1a<\/p><ul><li>\u8a2dP\u9ede\u70ba (x, y)\u3002<\/li><li>P\u9ede\u8207\u9edeA(2,1)\u7684\u8ddd\u96e2 = P\u9ede\u8207\u76f4\u7dday=1\u7684\u8ddd\u96e2<br \/>\\(\\begin{align}<br \/>\\sqrt{(x-2)^{2}+(y-3)^{2}} &amp;= y-1 \\\\<br \/>(x-2)^{2}+(y-3)^{2} &amp;= (y-1)^{2} \\\\<br \/>x^{2}-4x+4+y^{2} -6y+9 &amp;= y^{2}-2y+1 \\\\<br \/>x^{2} -4x+13 &amp;= 4y+1 \\\\<br \/>4y &amp;= x^{2}-4x+12 \\\\<br \/>y &amp;= \\tfrac{1}{4}x^{2}-x+3<br \/>\\end{align}\\)<\/li><\/ul><p>\u00a0<\/p><p>\u6700\u7d42\u8ecc\u8de1\u5605\u5716\u50cf\u5982\u4e0b:<\/p><p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-6577 size-full\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/04\/example_of_a_parabola_locus.webp\" alt=\"\u62cb\u7269\u7dda\u8ecc\u8de1\u7684\u65b9\u7a0b\" width=\"334\" height=\"318\" srcset=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/04\/example_of_a_parabola_locus.webp 334w, https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/04\/example_of_a_parabola_locus-300x286.webp 300w, https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/04\/example_of_a_parabola_locus-150x143.webp 150w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><\/p><ul><li>\u7559\u610fP\u9ede\u8207\u76f4\u7dday=1\u7684\u8ddd\u96e2\u4fc2\u689d\u925b\u5782\u7dda\uff0c\u9577\u5ea6 = y \u2013 1\u3002<\/li><\/ul><\/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<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-490866a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"490866a\" 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-0379c0c\" data-id=\"0379c0c\" 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-eed70b4 elementor-widget elementor-widget-text-editor\" data-id=\"eed70b4\" 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><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i>\u00a0<a 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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 style=\"text-align: right;\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental-shape_n_space\/equations_of_circles\/\">\u5713\u65b9\u7a0b<\/a>\u00a0<i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/p>\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\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4bfd21bc\" data-id=\"4bfd21bc\" 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-20775dbc elementor-widget elementor-widget-sidebar\" data-id=\"20775dbc\" data-element_type=\"widget\" data-e-type=\"widget\" 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class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4073\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/rate-and-ratio\/\" class=\"menu-link\">7. \u7387\u53ca\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4074\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4074\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/functions\/\" class=\"menu-link\">8. \u51fd\u6578<\/a><\/li>\n\t<li  id=\"menu-item-4075\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4075\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/estimation\/\" class=\"menu-link\">9. \u4f30\u7b97<\/a><\/li>\n\t<li  id=\"menu-item-4076\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4076\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/inequalities\/\" class=\"menu-link\">10. \u4e0d\u7b49\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4077\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4077\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/coordinates\/\" class=\"menu-link\">11. \u5750\u6a19<\/a><\/li>\n\t<li  id=\"menu-item-4079\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4079\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/geometry\/\" class=\"menu-link\">12. \u6f14\u7e79\u63a8\u7406\u5e7e\u4f55<\/a><\/li>\n\t<li  id=\"menu-item-4080\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4080\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/trigonometry\/\" class=\"menu-link\">13. \u4e09\u89d2\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4081\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4081\"><a 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id=\"menu-item-3241\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3241\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental-shape_n_space\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3246\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3246\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_data_handling\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u6578\u64da\u8655\u7406<\/a><\/li>\n<li  id=\"menu-item-3290\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3290\"><a 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>12.1 \u4ee5\u4ee3\u6578\u65b9\u7a0b\u63cf\u8ff0\u9ede\u7684\u8ecc\u8de1 (Describe the Locus of Points with Alg [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":6607,"parent":6442,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-6572","page","type-page","status-publish","has-post-thumbnail","hentry","entry","has-media"],"yoast_head":"<!-- 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