{"id":18303,"date":"2023-12-27T23:40:02","date_gmt":"2023-12-27T15:40:02","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?p=18303"},"modified":"2023-12-28T00:07:53","modified_gmt":"2023-12-27T16:07:53","slug":"dse-maths-problem-solving-technique-01","status":"publish","type":"post","link":"https:\/\/www.study-together.com\/edu\/2023\/12\/dse-maths-problem-solving-technique-01\/","title":{"rendered":"DSE\u6578\u5b78\u89e3\u984c\u6280\u5de7 &#8211; \u5514\u8b58\u505a\u6642\u5148\u554f\u984c\u76ee\u5176\u5be6\u8003\u7dca\u4f60\u54a9?"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"18303\" class=\"elementor elementor-18303\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-25181b2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"25181b2\" 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-100 elementor-top-column elementor-element elementor-element-39257fc\" data-id=\"39257fc\" 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-09a76b0 elementor-widget elementor-widget-text-editor\" data-id=\"09a76b0\" 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>\u55ba\u9762\u5c0d\u5514\u8b58\u505a\u5605\u6578\u5b78\u984c\u76ee\u6642\uff0c\u5230\u5e95\u6709\u54a9 \u89e3\u984c\u6280\u5de7 ?<\/p><ul><li>\u9996\u8981\u5514\u597d\u614c\u3001\u5514\u597d\u88ab\u984c\u76ee\u5687\u89aa\u3002<\/li><li>\u5176\u6b21\uff0c\u51b7\u975c\u5481\u7747\u4e00\u6b21\u689d\u984c\u76ee\uff0c\u8a66\u5413\u5f9e\u984c\u578b\u6216\u95dc\u9375\u5b57\u773c\u569f\u4f30\u5413\u689d\u984c\u76ee\u5176\u5be6\u4fc2\u60f3\u8003\u4f60\u908a\u4e00\u8ab2\u5605\u6578\u5b78\u6280\u5de7\u3002<\/li><\/ul><p>\u77e5\u9053\u984c\u76ee\u60f3\u8003\u4f60\u54a9\uff0c\u5176\u5be6\u5f80\u5f80\u4fc2\u89e3\u984c\u5605\u95dc\u9375&#8230;..<\/p><p>\u597d\u4f3c\u4f9d\u689d\u984c\u76ee\u5481\uff0c\u6211\u55baFacebook <a href=\"https:\/\/www.facebook.com\/groups\/1740462229449330\/posts\/2594262044069340\/\" target=\"_blank\" rel=\"noopener\">\u4e2d\u5b78\u6578\u5b78\u529f\u8ab2\u4ea4\u6d41\u5340<\/a> \u5ea6\u898b\u5230\u6709\u4eba\u767c\u554f\u3002\u5c31\u5481\u4e00\u7747\uff0c\u597d\u53ef\u80fd\u597d\u591a\u540c\u5b78\u90fd\u5514\u77e5\u8981\u9ede\u505a\u3002\u4f46\u53ea\u8981\u51b7\u975c\u7747\u984c\u76ee\uff0c\u6211\u5730\u61c9\u6703\u7559\u610f\u5230\u984c\u76ee\u6240\u554f\u7684\u6d89\u53ca\u5230\u4ee5\u4e0b\u8ab2\u984c\u53ca\u6280\u5de7:<\/p><ol><li>maximum value<br \/>\u9019\u4ee4\u6211\u60f3\u8d77\u4e86\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u4e2d\u627e\u6700\u5927\u503c\u7684\u65b9\u6cd5&#8230; \u914d\u65b9\u6cd5 (Completing square)<\/li><li>\u5c0d\u6578<br \/>\u7279\u5225\u984c\u76ee\u4e2d\u6709\u00a0 log<sub>a<\/sub>b \u51fa\u73fe\u3002\u6545\u4fc2\u8981\u7528\u5230\u516c\u5f0f:\u00a0\u00a0<br \/>\\(log_{a}b = \\dfrac{log b}{log a}\\)<\/li><\/ol><p>\u6709\u4e86\u9019\u5ff5\u982d\u4fbf\u53ef\u958b\u59cb\u5316\u7c21\u984c\u76ee\u4e2d\u7684\u6578\u5f0f&#8230;.<\/p><p>\\(\\begin{align}<br \/>&amp;log_{y^{2}}\\sqrt{x} &#8211; (log_{y^{3}} x)^2 &#8211; log_{x}\\sqrt{y} \\times log_{y}x^{2} \\\\<br \/>&amp;= \\dfrac{log x^{1\/2}}{log y^{2}} &#8211; (\\dfrac{log x}{log y^{3}})^{2} &#8211; \\dfrac{log y^{1\/2}}{log x} \\times \\dfrac{log x^{2}}{log y} \\\\<br \/>&amp;= \\dfrac{\\tfrac{1}{2}log x}{2 log y} &#8211; (\\dfrac{log x}{3log y})^{2} &#8211; \\dfrac{\\tfrac{1}{2}log y}{log x} \\times \\dfrac{2log x}{log y} \\\\<br \/>&amp;= \\dfrac{1}{4}\\dfrac{log x}{log y} &#8211; \\dfrac{1}{9}(\\dfrac{log x}{log y})^{2} &#8211; 1 \\\\<br \/>&amp;= -\\dfrac{1}{9}z^{2} + \\dfrac{1}{4}z &#8211; 1\u00a0 \u00a0 \u00a0 \\quad \\quad (where z = \\dfrac{log x}{log y}) \\\\<br \/>&amp;= -\\dfrac{1}{9} [z^{2} &#8211; \\dfrac{9}{4}z] &#8211; 1 \\\\<br \/>&amp;= -\\dfrac{1}{9} [(z &#8211; \\dfrac{9}{8})^2\u00a0 &#8211; (\\dfrac{9}{8})^{2}]\u00a0 &#8211; 1 \\\\<br \/>&amp;= -\\dfrac{1}{9} (z &#8211; \\dfrac{9}{8})^2\u00a0 + \\dfrac{9}{64}\u00a0 &#8211; 1 \\\\<br \/>&amp;= -\\dfrac{1}{9} (z &#8211; \\dfrac{9}{8})^2\u00a0 &#8211; \\dfrac{55}{64}<br \/>\\end{align}\\)<\/p><p>\u7559\u610f\u4e00\u500b\u6578\u5605\u4e8c\u6b21\u65b9\u6700\u7d30\u70ba0, \u6240\u4ee5\u4e0a\u9762\u5605\u6578\u5f0f\u6700\u5605\u5605\u503c\u5c31\u4fc2 -55\/64\u3002<\/p><p>\u00a0<\/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<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u55ba\u9762\u5c0d\u5514\u8b58\u505a\u5605\u6578\u5b78\u984c\u76ee\u6642\uff0c\u5230\u5e95\u6709\u54a9 \u89e3\u984c\u6280\u5de7 ? \u9996\u8981\u5514\u597d\u614c\u3001\u5514\u597d\u88ab\u984c\u76ee\u5687\u89aa\u3002 \u5176\u6b21\uff0c\u51b7\u975c\u5481\u7747\u4e00\u6b21\u689d\u984c\u76ee\uff0c\u8a66\u5413 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":18304,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","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":"","ocean_custom_header_template":"","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":"","ocean_menu_typo_font_family":"","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":"","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[18,33],"tags":[],"class_list":["post-18303","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-hkdse_maths","category-33","entry","has-media"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>DSE\u6578\u5b78\u89e3\u984c\u6280\u5de7 - \u5514\u8b58\u505a\u6642\u5148\u554f\u984c\u76ee\u5176\u5be6\u8003\u7dca\u4f60\u54a9? &#187; 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