{"id":2348,"date":"2020-10-05T10:03:49","date_gmt":"2020-10-05T02:03:49","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=2348"},"modified":"2020-11-02T14:11:19","modified_gmt":"2020-11-02T06:11:19","slug":"coordinates-system","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/coordinates-system\/","title":{"rendered":"11. \u5750\u6a19 > \u5750\u6a19\u7cfb\u7d71"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"2348\" class=\"elementor elementor-2348\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3154ca8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3154ca8\" 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-240eaf3\" data-id=\"240eaf3\" 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-ea01361 elementor-widget elementor-widget-text-editor\" data-id=\"ea01361\" 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>11.1 \u5750\u6a19\u7cfb\u7d71 (Coordinates System)<\/h2><p>\u55baDSE\u5165\u9762\uff0c\u6211\u5730\u8981\u5b78\u5169\u500b \u5750\u6a19\u7cfb\u7d71\uff0c\u5206\u5225\u4fc2<\/p><ul><li>\u76f4\u89d2\u5750\u6a19 (Cartesian Coordinate)<\/li><li>\u6975\u5750\u6a19 (Polar Coordinate)<\/li><\/ul><p>\u00a0<\/p><h3>11.1.1.\u00a0 \u76f4\u89d2\u5750\u6a19 (Cartesian Coordinate)<\/h3><p><a href=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/10\/dseJunior_ccord_01.webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignright wp-image-2351\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/10\/dseJunior_ccord_01.webp\" alt=\"\u76f4\u89d2\u5750\u6a19\" width=\"324\" height=\"344\" \/><\/a>\u53f3\u9762\u5e45\u5716\u5c31\u4fc2\u6211\u54cb\u6700\u5e38\u7528\u5605\u76f4\u89d2\u5750\u6a19\u7cfb\u7d71\u3002\u4e00\u822c\u984c\u76ee\u5187\u6307\u660e\uff0c\u6211\u54cb\u6240\u898b\u6240\u7528\u5605\u90fd\u4fc2\u76f4\u89d2\u5750\u6a19\u3002<\/p><p>\u5c0d\u6bcf\u4e00\u9ede\u569f\u8b1b\uff0c\u6211\u54cb\u53ea\u8981\u77e5\u4f62\u5605x-\u5750\u6a19\u540cy-\u5750\u6a19\u5c31\u53ef\u4ee5\u77e5\u9053\u4f62\u5605\u4f4d\u7f6e\u3002\u4f9d\u7d44\u201cx-\u5750\u6a19\u540cy-\u5750\u6a19\u201d\u5c31\u4fc2\u53eb\u201c\u5750\u6a19\u201d\u3002<\/p><p>\u4f8b1\uff1a\u00a0\u00a0\u00a0 \u5728\u53f3\u5716\u4e2d\uff0c<\/p><ul><li style=\"list-style-type: none;\"><ul><li>A\u9ede = (5, 4)<\/li><li>B\u9ede = (-2, -5)<\/li><\/ul><\/li><\/ul><p>\u00a0<\/p><p>\u00a0<\/p><h3>11.1.2.\u00a0 \u6975\u5750\u6a19 (Polar Coordinate)<\/h3><p><a href=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/10\/dseJunior_ccord_02.webp\"><img decoding=\"async\" class=\"alignright wp-image-2352\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/10\/dseJunior_ccord_02.webp\" alt=\"\u6975\u5750\u6a19\" width=\"366\" height=\"333\" \/><\/a>\u201c\u6975\u5750\u6a19\u201d\u55ba\u6211\u5730\u53e6\u4e00\u500b\u8981\u8b58\u5605\u5750\u6a19\u7cfb\u7d71\u3002\u7528\u6975\u5750\u6a19\u5605\u6642\u5019\uff0c\u984c\u76ee\u6703\u8b1b\u5230\u660e\u7528\u7dca\u6975\u5750\u6a19\u3002<\/p><p>\u7559\u610f\u55ba\u6975\u5750\u6a19\u5ea6\uff0c\u62ec\u865f\u5165\u9762\u4e00\u500b\u4fc2\u6578\u5b57\uff0c\u4e00\u500b\u4fc2\u5ea6\u6578\u3002<\/p><ul><li>\u500b\u6578\u5b57\u4fc2\u4ee3\u8868\u55f0\u9ede\u540c\u539f\u5fc3\u9ede\u5605\u8ddd\u96e2\uff08\u5373\u5713\u534a\u5f91\uff09<br \/>\u7559\u610f\u6211\u54cb\u53ef\u4ee5\u60f3\u55f0\u9ede\u4fc2\u55ba\u4e00\u500b\u5713\u5f62\u5605\u5468\u754c\u4e0a\u9762\u3002<\/li><li>\u500b\u5ea6\u6578\u4fc2\u4ee3\u8868\u65b9\u5411\uff0c\u7531x-\u8ef8\u9006\u6642\u91dd\u65b9\u5411\u91cf\u5ea6\u8d77<\/li><\/ul><p>\u4f8b2\uff1a\u5728\u53f3\u5716\u4e2d\uff0c<\/p><ul><li style=\"list-style-type: none;\"><ul><li style=\"text-align: left;\">C\u9ede = (6, 30\u00b0)<\/li><li style=\"text-align: left;\">D\u9ede = (3, 210\u00b0)<\/li><\/ul><\/li><\/ul><p>\u00a0<\/p><h3>11.1.3.\u00a0 \u8f49\u63db\u5750\u6a19\u7cfb\u7d71<\/h3><ul><li>\u55baDSE\u5165\u9762\uff0c\u540c\u5b78\u6700\u597d\u5b78\u57cb\u9ede\u6a23\u5c07\u76f4\u89d2\u5750\u6a19\u540c\u6975\u5750\u6a19\u4e92\u63db\u3002<\/li><li>\u5176\u5be6\u5514\u96e3\uff0c\u53ea\u8981\u5c07\u500b\u5750\u6a19\u5283\u51fa\u569f\uff0c\u518d\u5229\u7528\u7c21\u55ae\u5605\u4e09\u89d2\u6bd4(\u5373sin,cos\u7b49)\u5c31\u53ef\u4ee5\u505a\u5230\u3002<\/li><\/ul><p><a href=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/10\/dseJunior_ccord_03.webp\"><img decoding=\"async\" class=\"alignright wp-image-2353\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/10\/dseJunior_ccord_03.webp\" alt=\"\u5750\u6a19\u7cfb\u7d71'\u8f49\u63db\" width=\"289\" height=\"258\" \/><\/a>\u4f8b3\uff1a \u5df2\u77e5A\u9ede\u7684\u76f4\u89d2\u5750\u6a19\u70ba(-6, 8)\u3002\u6c42A\u9ede\u7684\u6975\u5750\u6a19\u3002<\/p><p>\u89e3\u7b54\uff1a\u00a0\u00a0\u00a0 \u9996\u5148\u7528\u76f4\u89d2\u5750\u6a19\u5283\u51faA\u9ede\uff08\u5982\u53f3\u5716\uff09\u3002\u518d\u5283\u51fa\u5716\u4e2d\u7684\u7d05\u7dda\u4ee5\u5e6b\u52a9\u6211\u5011\u6c42\u5f97\u6975\u5750\u6a19\u3002<\/p><p>\u5229\u7528\u7562\u6c0f\u5b9a\u7406\uff0c<\/p><p style=\"padding-left: 40px;\">\\(R = \\sqrt{6^{2} + 8^{2}} = 10 \\)<\/p><p>\u5229\u7528\u4e09\u89d2\u6bd4\uff0c<\/p><p>\\(\\begin{align}<br \/>tan \\theta &amp; = \\dfrac{8}{6} \\\\<br \/>\\theta &amp; = 53.13^{\\circ}<br \/>\\end{align}\\)<\/p><p>\u7559\u610f\u6975\u5750\u6a19\u6240\u7528\u5605\u89d2\u55ba\u7531x-\u8ef8\u958b\u59cb\uff0c\u9006\u6642\u91dd\u5ea6\u8d77\u3002<br \/>\u6240\u4ee5A\u9ede\u7684\u6975\u5750\u6a19\u70ba(10, 126.87\u00b0)\u3002<\/p><p>\u4f8b\u5b504\uff1a \u5df2\u77e5A\u9ede\u7684\u6975\u5750\u6a19\u70ba(10, 126.87\u00b0)\u3002\u6c42A\u9ede\u7684\u76f4\u89d2\u5750\u6a19\u3002<\/p><p><a href=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/10\/dseJunior_ccord_04.webp\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-2357\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2020\/10\/dseJunior_ccord_04.webp\" alt=\"\u5750\u6a19\u7cfb\u7d71\u8f49\u63db2\" width=\"283\" height=\"282\" \/><\/a>\u89e3\u7b54\uff1a\u00a0\u00a0\u00a0 \u9996\u5148\u628a\u6975\u5750\u6a19\u5283\u51fa\uff08\u5982\u53f3\u5716\uff09\u3002\u518d\u5283\u51fa\u5716\u4e2d\u7684\u7d05\u7dda\u4ee5\u5e6b\u52a9\u6211\u5011\u6c42\u5f97\u76f4\u89d2\u5750\u6a19\u3002<\/p><p>\u5229\u7528\u4e09\u89d2\u6bd4\uff0c<\/p><p style=\"padding-left: 40px;\">\\(\\begin{align}<br \/>sin53.17^{\\circ} &amp; = \\dfrac{b}{10} \\\\<br \/>b &amp; = 8 \\\\<br \/>cos53.17^{\\circ} &amp; = \\dfrac{a}{10} \\\\<br \/>a &amp; = 6<br \/>\\end{align}\\)<\/p><p>\u7559\u610f\u6975\u5750\u6a19\u4fc2\u55ba\u7b2c\u4e8c\u8c61\u9650\u5165\u9762\uff0cx-\u5750\u6a19\u70ba\u8ca0\u6578\u3002<br \/>\u6240\u4ee5A\u9ede\u7684\u76f4\u89d2\u5750\u6a19\u70ba(-6, 8)\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<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-7daf9c4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7daf9c4\" 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-9072ced\" data-id=\"9072ced\" 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-1e00633 elementor-widget elementor-widget-text-editor\" data-id=\"1e00633\" 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\/inequalities-solving-inequalities-equation\/\"> <i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i>\u89e3\u4e00\u5143\u4e00\u6b21\u4e0d\u7b49\u5f0f<\/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-37c7ec1\" data-id=\"37c7ec1\" 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-102623f\" data-id=\"102623f\" 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-b0f568d elementor-widget elementor-widget-text-editor\" data-id=\"b0f568d\" 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\/dse-maths-core\/junior_summary\/coordinates-2-points-distance\/\">\u5169\u9ede\u9593\u7684\u9577\u5ea6\u3001\u4e2d\u9ede\u53ca\u5167\u5206\u9ede <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-61ad1ec\" data-id=\"61ad1ec\" 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-6d31af1 elementor-widget elementor-widget-sidebar\" data-id=\"6d31af1\" 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. 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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>11.1 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