{"id":1502,"date":"2020-07-20T23:39:57","date_gmt":"2020-07-20T15:39:57","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=1502"},"modified":"2020-11-02T23:19:36","modified_gmt":"2020-11-02T15:19:36","slug":"applications-of-trigonometry","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/applications-of-trigonometry\/","title":{"rendered":"10. \u4e09\u89d2\u6bd4\u7684\u61c9\u7528 (Applications of Trigonometry)"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1502\" class=\"elementor elementor-1502\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-55b6b2a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"55b6b2a\" 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-d2f608c\" data-id=\"d2f608c\" 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-eed010d elementor-widget elementor-widget-text-editor\" data-id=\"eed010d\" 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\u65e5\u5e38\u751f\u6d3b\u5165\u9762\uff0c\u6211\u8ad7\u4e09\u89d2\u6bd4\u6700\u6709\u7528\u90fd\u4fc2\u55ba\u5efa\u7bc9\u6216\u6e2c\u91cf\u65b9\u9762\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-35fd337 elementor-widget elementor-widget-text-editor\" data-id=\"35fd337\" 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>10.1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u659c\u7387\u8207\u50be\u89d2<\/h2><p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignright\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/07\/f3maths_trigoSlope.jpg\" alt=\"\u4e09\u89d2\u5b78-\u659c\u7387\" width=\"354\" height=\"236\" \/>\u659c\u7387\u8207\u50be\u89d2(\u03b8)\u90fd\u662f\u7528\u4f86\u8868\u793a\u4e00\u500b\u659c\u5761\u7684\u50be\u659c\u5ea6\u7684\u3002<\/p><p>\\(\u53f3\u5716\u4e2d\u659c\u5761AC\u7684\u659c\u7387 = \\dfrac{\u659c\u5761\u7684\u9ad8\u5ea6}{\u659c\u5761\u7684\u6c34\u5e73\u9577\u5ea6} = \\dfrac{BC}{AB} \\)<\/p><p>\u659c\u7387\u901a\u5e38\u6703\u4ee5\u201c1\uff1an\u201d\u4f86\u8868\u793a\u3002<\/p><ul><li style=\"list-style-type: none;\"><ul><li>\u5982AC\u7684\u659c\u7387 = 2 \/ 3\uff0c\u5247AC\u7684\u659c\u7387\u662f\u201c1 : 1.5\u201d(\u56e0 2 : 3 = 1 : 1.5)<\/li><\/ul><\/li><\/ul><p>\u659c\u5761AC\u7684\u50be\u89d2 = \u659c\u5761\u8207\u6c34\u5e73\u7dda\u7684\u593e\u89d2 \uff1d\u03b8<\/p><p>\u7559\u610f\uff1a\u3000\u5229\u7528\u4e09\u89d2\u6bd4\u7684\u77e5\u8b58\uff0c\u00a0\u00a0\u00a0 AC\u7684\u659c\u7387 = tan\u03b8<\/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-62b9b69 elementor-widget elementor-widget-text-editor\" data-id=\"62b9b69\" 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>10.2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u4ef0\u89d2\u548c\u4fef\u89d2<\/h2><ul><li>\u7576\u6211\u5011\u89c0\u5bdf\u4f4d\u65bc\u4e0a\u65b9\u7684\u7269\u4ef6\u6642\uff0c\u8996\u7dda\u8207\u6c34\u5e73\u7dda\u6240\u5f62\u6210\u7684\u89d2\u7a31\u70ba\u4ef0\u89d2\u3002<\/li><li>\u7576\u6211\u5011\u89c0\u5bdf\u4f4d\u65bc\u4e0b\u65b9\u7684\u7269\u4ef6\u6642\uff0c\u8996\u7dda\u8207\u6c34\u5e73\u7dda\u6240\u5f62\u6210\u7684\u89d2\u7a31\u70ba\u4fef\u89d2\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-d178256 elementor-widget elementor-widget-text-editor\" data-id=\"d178256\" 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>10.3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u65b9\u4f4d<\/h2><p>\u65b9\u4f4d\u662f\u7528\u4f86\u8868\u793a\u4e00\u500b\u76ee\u6a19\u662f\u5728\u89c0\u5bdf\u9ede\u7684\u54ea\u4e00\u500b\u65b9\u5411\u3002<\/p><p>\u901a\u5e38\u4ee5\u201c<span style=\"color: #ff0000;\">\u7531\u89c0\u5bdf\u9edeA\u6e2c\u5f97\u76ee\u6a19B\u7684\u65b9\u4f4d<\/span>\u662fxxxx\u201d\u4f86\u8868\u793a\u3002<\/p><h4>10.3.1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u7f85\u76e4\u65b9\u4f4d\u89d2 (Compass bearing)<\/h4><p>\u5927\u5bb6\u90fd\u61c9\u8a72\u77e5\u9053\u6307\u5357\u91dd\u6709\u4ee5\u4e0b\u5e7e\u500b\u5927\u65b9\u5411\uff1a<\/p><ul><li style=\"list-style-type: none;\"><ul><li>\u6771 = E (East)<\/li><li>\u5357 = S (South)<\/li><li>\u897f = W (West)<\/li><li>\u5317 = N (North)<\/li><\/ul><\/li><\/ul><p>\u800c\u7f85\u76e4\u65b9\u4f4d\u89d2\u5c31\u4fc2\u57fa\u65bc\u4ee5\u4e0a\u56db\u500b\u5927\u65b9\u5411\uff0c\u518d\u66f4\u7d30\u6307\u5730\u63cf\u8ff0\u65b9\u5411\u7684\u4e00\u7a2e\u65b9\u6cd5\u3002<\/p><p>\u4f8b1\uff1a\u00a0 N30\u00b0E<br \/>\u89e3\u91cb\uff1a\u5b83\u7684\u610f\u601d\u662f\u201c\u7531\u5317\u958b\u59cb\uff0c\u5411\u6771\u8f4930\u5ea6\u201d\u3002<\/p><ul><li style=\"list-style-type: none;\"><ul><li>\u5317\u548c\u5357\u4f5c\u9996\u8981\u65b9\u4f4d<\/li><li>\u6771\u548c\u897f\u70ba\u6b21\u8981\u65b9\u4f4d<\/li><li>\u5728\u5169\u8005\u4e4b\u9593\u52a0\u4e0a\u89d2\u5ea6<ul><li>\u56e0\u6b64\u89d2\u5ea6\u53ea\u6703\u7531 0\u00b0\u81f3 90\u00b0<\/li><\/ul><\/li><\/ul><\/li><\/ul><p>\u660e\u767d\u5f8c\u53ef\u4ee5\u770b\u5230\u4e00\u500b\u8c61\u9650\u89d2\u53ef\u5206\u6210\u4e09\u90e8\u4efd\uff1a<\/p><ul><li style=\"list-style-type: none;\"><ul><li>\u7b2c\u4e00\u500b\u90e8\u4efd\u662f\u958b\u59cb\u7684\u65b9\u5411\uff0c\u53ea\u53ef\u4ee5\u662fN\u6216S<\/li><li>\u7b2c\u4e09\u500b\u90e8\u4efd\u662f\u5411\u54ea\u4e00\u500b\u65b9\u5411\u5ea6\u8d77\uff0c\u53ea\u53ef\u4ee5\u662fE\u6216W<\/li><li>\u00a0\u7b2c\u4e8c\u500b\u90e8\u4efd\uff08\u5373\u4e2d\u9593\u7684\u5ea6\u6578\uff09\u662f\u91cf\u5ea6\u7684\u89d2\u5ea6<ul><li>\u9019\u89d2\u5ea6\u53ea\u6703\u7531 0\u00b0\u81f3 90\u00b0<\/li><\/ul><\/li><\/ul><\/li><\/ul><p>\u4f8b2\uff1a\u00a0\u00a0\u00a0 \u6c42\u53f3\u5716\u4e2d\uff0c\u7531P\u6e2cQ\u7684\u7f85\ud854\udc9f\u65b9\u4f4d\u89d2\u3002<\/p><p style=\"padding-left: 40px;\"><img decoding=\"async\" class=\"size-full wp-image-1605 alignnone\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/07\/f3maths_trigoCompareBearing.jpg\" alt=\"\u7f85\u76e4\u65b9\u4f4d\u89d2\" width=\"201\" height=\"177\" \/><\/p><p>\u7b54\uff1a\u00a0\u00a0 \u7531P\u6e2cQ\u7684\u7f85\ud854\udc9f\u65b9\u4f4d\u89d2\u662fS50\u00b0W\u3002<\/p><h4>10.3.2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u771f\u65b9\u4f4d\u89d2 (True bearing)<\/h4><p>\u771f\u65b9\u4f4d\u89d2\u662f\u7531\u5317\u4f5c\u70ba0\u00b0\uff0c\u6309\u9806\u6642\u91dd\u65b9\u5411\u958b\u59cb\u91cf\u5f97\u7684\u89d2\u5ea6\u3002<\/p><p>\u4f8b3\uff1a\u00a0\u00a0\u00a0 \u5728\u4f8b2\u4e2d\uff0c\u7531P\u6e2cQ\u7684\u771f\u65b9\u4f4d\u89d2\u662f230\u00b0\u3002 (\u56e0\u70ba 180\u00b0 + 50\u00b0 = 230\u00b0 )<\/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-4ef48cd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4ef48cd\" 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-c687988\" data-id=\"c687988\" 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-ff5da70 elementor-widget elementor-widget-text-editor\" data-id=\"ff5da70\" 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\/secondary\/form3_maths\/trigonometry\/\"><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i> \u4e09\u89d2\u5b78<\/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-f583c5f\" data-id=\"f583c5f\" 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-8ce2b95\" data-id=\"8ce2b95\" 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-8eac9b2 elementor-widget elementor-widget-text-editor\" data-id=\"8eac9b2\" 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 style=\"text-align: right;\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/probability\/\">\u6982\u7387 <i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/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\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-5f19491\" data-id=\"5f19491\" 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-ea0d8ad elementor-widget elementor-widget-sidebar\" data-id=\"ea0d8ad\" 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-4 > ul > li > a, .custom-menu-widget .ocean_custom_menu-4 .dropdown-menu .sub-menu li a.menu-link{font-size:16px;line-height:17px;}.custom-menu-widget .ocean_custom_menu-4.oceanwp-custom-menu > ul.click-menu .open-this{font-size:16px;}<\/style><h4 class=\"widget-title\">\u4e2d\u4e09\u6578\u5b78\u3010\u76ee\u9304\u3011<\/h4><div class=\"oceanwp-custom-menu clr ocean_custom_menu-4 left dropdown-hover\"><ul id=\"menu-form3mathstopics\" class=\"dropdown-menu sf-menu\"><li  id=\"menu-item-1543\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1543\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/inequalities\/\" class=\"menu-link\">1. \u4e0d\u7b49\u5f0f (Inequalities)<\/a><\/li>\n<li  id=\"menu-item-1542\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1542\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/indices\/\" class=\"menu-link\">2. \u6307\u6578 (Indices)<\/a><\/li>\n<li  id=\"menu-item-1541\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1541\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/use-of-percentage\/\" class=\"menu-link\">3. \u767e\u4efd\u6cd5  (Use of Percentage)<\/a><\/li>\n<li  id=\"menu-item-1540\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1540\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/rational-irrational-numbers\/\" class=\"menu-link\">4. \u6709\u7406\u6578\u53ca\u7121\u7406\u6578 (Rational &#038; Irrational Numbers)<\/a><\/li>\n<li  id=\"menu-item-1539\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1539\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/deductive-geometry\/\" class=\"menu-link\">5. \u6f14\u7e79\u5e7e\u4f55 (Deductive Geometry)<\/a><\/li>\n<li  id=\"menu-item-1538\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1538\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/quadrilateral\/\" class=\"menu-link\">6. \u56db\u908a\u5f62 (Quadrilateral)<\/a><\/li>\n<li  id=\"menu-item-1537\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1537\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/area-volume\/\" class=\"menu-link\">7. \u9762\u7a4d\u8207\u9ad4\u7a4d (Area &#038; Volume)<\/a><\/li>\n<li  id=\"menu-item-1536\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1536\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/coordinate-geometry\/\" class=\"menu-link\">8. \u5750\u6a19\u5e7e\u4f55 (Coordinate Geometry)<\/a><\/li>\n<li  id=\"menu-item-1535\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1535\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/trigonometry\/\" class=\"menu-link\">9. \u4e09\u89d2\u5b78 (Trigonometry)<\/a><\/li>\n<li  id=\"menu-item-1534\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1534\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/applications-of-trigonometry\/\" class=\"menu-link\">10. \u4e09\u89d2\u6bd4\u7684\u61c9\u7528 (Applications of Trigonometry)<\/a><\/li>\n<li  id=\"menu-item-1533\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1533\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/probability\/\" class=\"menu-link\">11. \u6982\u7387 (Probability)<\/a><\/li>\n<li  id=\"menu-item-1532\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1532\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/statistics-measure-of-central-tendency\/\" class=\"menu-link\">12. \u7d71\u8a08 \u2013 \u96c6\u4e2d\u8da8\u52e2\u7684\u91cf\u5ea6 (Measure of Central Tendency)<\/a><\/li>\n<li  id=\"menu-item-1625\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1625\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/centers-of-triangles\/\" class=\"menu-link\">13. \u4e09\u89d2\u5f62\u7684\u5fc3 (Centers of Triangles)<\/a><\/li>\n<li  id=\"menu-item-16136\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-16136\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/exam_papers\/\" class=\"menu-link\">*** \u521d\u4e2d\u8a66\u5377 \/ \u8a66\u984c\u5eab ***<\/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>\u55ba\u65e5\u5e38\u751f\u6d3b\u5165\u9762\uff0c\u6211\u8ad7\u4e09\u89d2\u6bd4\u6700\u6709\u7528\u90fd\u4fc2\u55ba\u5efa\u7bc9\u6216\u6e2c\u91cf\u65b9\u9762\u3002 10.1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u659c\u7387\u8207\u50be\u89d2 \u659c\u7387\u8207\u50be\u89d2(\u03b8) 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