{"id":2806,"date":"2020-11-19T08:59:03","date_gmt":"2020-11-19T00:59:03","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=2806"},"modified":"2020-11-29T12:17:59","modified_gmt":"2020-11-29T04:17:59","slug":"shapes-sectors","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/shapes-sectors\/","title":{"rendered":"14. \u5e73\u9762\u53ca\u7acb\u9ad4\u5716\u5f62 > \u6247\u5f62\u7684\u9762\u7a4d\u53ca\u5f27\u9577"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"2806\" class=\"elementor elementor-2806\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3c5dc6c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3c5dc6c\" 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-ae850ee\" data-id=\"ae850ee\" 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-d16af5e elementor-widget elementor-widget-text-editor\" data-id=\"d16af5e\" 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>14.3.\u00a0\u00a0 \u6247\u5f62\u7684\u9762\u7a4d\u53ca\u5f27\u9577 (Area of a Sector &amp; Length of an Arc)<\/h2><p>\u6247\u5f62 \u53ea\u4fc2\u201c\u5713\u5f62\u5605\u4e00\u90e8\u4efd\u201d\uff0c\u4e5f\u53ef\u4ee5\u7406\u89e3\u70ba\u55ba\u5713\u5f62\u86cb\u7cd5\u5ea6\u5207\u4e00\u4ef6\u51fa\u569f\u5605\u5f62\u72c0\u3002<\/p><p><a href=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/11\/dseJunior_figure_03.webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignright wp-image-2814\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/11\/dseJunior_figure_03.webp\" alt=\"\u6247\u5f62\" width=\"250\" height=\"227\" \/><\/a>\u53f3\u5713\u986f\u793a\u5497\u4e00\u500b\u5713\u5f62\u53ca\u6247\u5f62\u3002\u7559\u610f\uff1a<\/p><ul><li>\u7d05\u8272\u865b\u7dda\u4fc2\u4e00\u500b\u5713\u5f62<ul><li>\u5176\u534a\u5f91\u70bar<\/li><\/ul><\/li><li>\u9ed1\u7dda\u90e8\u4efd\u5c31\u4fc2\u4e00\u500b\u6247\u5f62<ul><li>\u53ef\u8a18\u4f5c \u6247\u5f62AOB<\/li><li>\u66f2\u7ddaAB\u7a31\u70ba\u201c\u5f27\u9577AB\u201d\uff0c\u8a18\u865f\u4fc2\u00a0 \\({\\stackrel{\\Large\\frown}{AB}}\\)<\/li><\/ul><\/li><li>\u5982\u679c\u628aA\u3001B\u5169\u9ede\u7528\u76f4\u7dda\u9023\u8d77\uff0c\u6247\u5f62\u5c07\u6703\u88ab\u5206\u6210\u5169\u90e8\u4efd\uff1a<ul><li>\u5de6\u908a\u5605\u4fc2\u4e00\u500b\u4e09\u89d2\u5f62<\/li><li>\u53f3\u908a\u5605\u4fc2\u4e00\u500b\u201c\u5f13\u5f62\u201d<\/li><\/ul><\/li><\/ul><p>\u00a0<\/p><h3>14.3.1 \u6247\u5f62\u9762\u7a4d<\/h3><p>\u4e00\u500b\u5713\u5f62\u5605\u5713\u5fc3\u89d2\u4fc2\\(360^{\\circ})\u3002\u5047\u8a2d\u6247\u5f62\u5605\u89d2\u5ea6\u4fc2\u03b8\u3002\u6309\u6bd4\u4f8b\uff0c<\/p><p style=\"padding-left: 40px;\">\\(\u6247\u5f62\u9762\u7a4d = \u5713\u5f62\u9762\u7a4d \\times \\dfrac{\\theta}{360^{\\circ}} \\)<\/p><p>\u5373\uff0c\u00a0 \\(\u6247\u5f62\u9762\u7a4d = \\pi r^{2} \\times \\dfrac{\\theta}{360^{\\circ}} \\)<\/p><p>\u00a0<\/p><h3>14.3.1 \u5f27\u9577<\/h3><p>\u540c\u4e00\u500b\u5b9a\u7406\uff0c\u6309\u5713\u5f62\u5468\u754c\u540c\u5f27\u9577\u5605\u6bd4\u4f8b<\/p><p style=\"padding-left: 40px;\">\\(\u5f27\u9577 = 2\\pi r \\times \\dfrac{\\theta}{360^{\\circ}} \\) \u3000<\/p><p>\u00a0<\/p><h3>14.3.2 \u6247\u5f62\u5468\u754c\u53ca\u5f13\u5f62\u9762\u7a4d<\/h3><p>\u6247\u5f62\u5468\u754c\u540c\u5f13\u5f62\u9762\u7a4d\u4fc2\u5187\u516c\u5f0f\u7684\u3002\u4e0b\u9762\u5605\u7b97\u5f0f\u53ea\u4fc2\u63d0\u5927\u5bb6\u9ede\u8a08\u4f62\u5730\u51fa\u569f\u3002<\/p><ul><li>\u6247\u5f62\u5468\u754c = \u5f27\u9577 + 2\u500b\u534a\u5f91<\/li><li>\u5f13\u5f62\u9762\u7a4d = \u6247\u5f62\u9762\u7a4d \uff0d \u0394OAB\u9762\u7a4d<br \/>\uff08\u0394OAB\u9762\u7a4d =\u00a0 \\(\\dfrac{1}{2}absin\\theta\\)\u00a0 \u8a08\uff0c\u5176\u4e2da = b = r\uff09<\/li><\/ul><p>\u00a0<\/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-68d91ed elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"68d91ed\" 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-64ab124\" data-id=\"64ab124\" 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-f33e9b2 elementor-widget elementor-widget-text-editor\" data-id=\"f33e9b2\" 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><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/trigonometry\/\"><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i> \u4e09\u89d2\u5f62\u9762\u7a4d<\/a><\/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<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-0d92f3f\" data-id=\"0d92f3f\" 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-8846d36\" data-id=\"8846d36\" 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-a13c722 elementor-widget elementor-widget-text-editor\" data-id=\"a13c722\" 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\/shapes-3d-surface-area-n-volume\/\">\u5e38\u898b\u7acb\u9ad4\u5716\u5f62\u7684\u8868\u9762\u7a4d\u53ca\u9ad4\u7a4d <i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/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\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-d34f35e\" data-id=\"d34f35e\" 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-3267400 elementor-widget elementor-widget-sidebar\" data-id=\"3267400\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"sidebar.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"sidebar-box widget-oceanwp-custom-menu custom-menu-widget clr\"><style type=\"text\/css\">.ocean_custom_menu-5 > ul > li > a, .custom-menu-widget .ocean_custom_menu-5 .dropdown-menu .sub-menu li a.menu-link{font-size:16px;line-height:17px;}.custom-menu-widget .ocean_custom_menu-5.oceanwp-custom-menu > ul.click-menu .open-this{font-size:16px;}<\/style><h4 class=\"widget-title\">DSE\u6578\u5b78 &#8211; \u5fc5\u4fee\u90e8\u5206\u3010\u76ee\u9304\u3011<\/h4><div class=\"oceanwp-custom-menu clr ocean_custom_menu-5 left dropdown-hover\"><ul id=\"menu-dsemaths_core\" class=\"dropdown-menu sf-menu\"><li  id=\"menu-item-1744\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1744\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/course-analysis\/\" class=\"menu-link\">\u8ab2\u7a0b\u5206\u6790 (Core)<\/a><\/li>\n<li  id=\"menu-item-1745\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children dropdown menu-item-1745\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/\" class=\"menu-link\">\u5514\u597d\u4ee5\u70ba\u5514\u99db\u8003 &#8211; \u76ee\u9304 <span class=\"nav-arrow fa fa-angle-down\"><\/span><\/a>\n<ul class=\"sub-menu\">\n\t<li  id=\"menu-item-4067\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4067\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/solving-equation\/\" class=\"menu-link\">1. \u89e3\u65b9\u7a0b<\/a><\/li>\n\t<li  id=\"menu-item-4068\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4068\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/polynomials\/\" class=\"menu-link\">2. \u591a\u9805\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4069\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4069\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/laws-of-indices\/\" class=\"menu-link\">3. \u6307\u6578\u5b9a\u5f8b<\/a><\/li>\n\t<li  id=\"menu-item-4070\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4070\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/factorization\/\" class=\"menu-link\">4. \u56e0\u5f0f\u5206\u89e3<\/a><\/li>\n\t<li  id=\"menu-item-4071\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4071\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/formulae\/\" class=\"menu-link\">5. \u516c\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4072\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4072\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/percentage\/\" class=\"menu-link\">6. \u767e\u5206\u6cd5<\/a><\/li>\n\t<li  id=\"menu-item-4073\" 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 href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/shapes\/\" class=\"menu-link\">14. \u5e73\u9762\u53ca\u7acb\u9ad4\u5716\u5f62<\/a><\/li>\n\t<li  id=\"menu-item-4082\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4082\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/15-probability\/\" class=\"menu-link\">15. \u6982\u7387<\/a><\/li>\n\t<li  id=\"menu-item-4083\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4083\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/16-statistics\/\" class=\"menu-link\">16. \u7d71\u8a08<\/a><\/li>\n<\/ul>\n<\/li>\n<li  id=\"menu-item-3231\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3231\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  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>14.3.\u00a0\u00a0 \u6247\u5f62\u7684\u9762\u7a4d\u53ca\u5f27\u9577 (Area of a Sector &amp; Length of an A 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