{"article_info":{"article_id":136997,"cat_id":1392,"cat_title":"SGK Toán 8 - Cánh diều","publish_time":1681720560,"cat_id2":1392,"is_link":0,"thumbnail":"","title":"Giải bài 7 trang 121 SGK Toán 8 tập 1 - Cánh diều","label":"Giải bài 7 trang 121","alias":"giai-bai-7-trang-121-sgk-toan-8-tap-1-canh-dieu","introtext":"Cho tứ giác ABCD có  ","content":"<style>\r\n.method-close-icon{position: relative;float: right;top: 6px;transform: rotate(270deg);-ms-transform:rotate(270deg);-moz-transform:rotate(270deg);-webkit-transform:rotate(270deg);-o-transform:rotate(270deg);}\r\n.method-open-icon{position: relative;float: right;top: 6px;}\r\n</style>\r\n<p><strong style=\"font-size: 16px;\">Đề bài</strong></p><p><span>Cho tứ giác ABCD có <span class=\"MTConvertedEquation\">\\(\\widehat {DAB} = \\widehat {BC{\\rm{D}}};\\widehat {AB{\\rm{D}}} = \\widehat {C{\\rm{D}}B}\\)</span>. Chứng minh ABCD là hình bình hành.</span></p><div id=\"pos_end_question\"></div><div style=\"padding-top: 10px;padding-bottom: 2px;margin-bottom: 10px;\"><p class=\"show-detail-method\" style=\"background: #654bc2;text-align: center;border-radius:5px;padding: 10px;margin-bottom: 0px;\" onclick=\"showDetailMethod();\"><strong style=\"font-size: 16px;\">Phương pháp giải - Xem chi tiết</strong><img class=\"method-open-icon\" id=\"method_colapse_icon\" src=\"data:image/png;base64,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\"></p>  <div class=\"content_method_content\" style=\"padding: 10px 10px 5px 10px;border: dashed 1px #654bc2;border-top:none;\"><p><span>Chứng minh tứ giác ABCD có các cặp cạnh đối bằng nhau</span></p>  </div>\r\n<script type=\"text/javascript\">\r\n    var is_open =true;\r\n    function showDetailMethod(){\r\n        if(is_open){\r\n            document.querySelector(\".content_method_content\").style.display='none';\r\n            document.getElementById(\"method_colapse_icon\").classList.remove(\"method-open-icon\");\r\n            document.getElementById(\"method_colapse_icon\").classList.add(\"method-close-icon\");\r\n        }else{\r\n            document.querySelector(\".content_method_content\").style.display='block';\r\n            document.getElementById(\"method_colapse_icon\").classList.remove(\"method-close-icon\");\r\n            document.getElementById(\"method_colapse_icon\").classList.add(\"method-open-icon\");\r\n        }\r\n        is_open = !is_open;\r\n    }\r\n</script>\r\n</div><p><strong style=\"font-size: 16px;\">Lời giải chi tiết</strong></p><p><img src=\"https://img.loigiaihay.com/picture/2023/1209/2023-06-01-135013.png\" /></p>\r\n<p align=\"left\">Xét \\(\\Delta ABD\\)có: \\(\\widehat {BAD} + \\widehat {ABD} + \\widehat {BDA} = {180^0}\\)</p>\r\n<p align=\"left\">Xét \\(\\Delta BCD\\)có: \\(\\widehat {BCD} + \\widehat {BDC} + \\widehat {DBC} = {180^0}\\)</p>\r\n<p align=\"left\">\\(\\begin{array}{l} \\Rightarrow \\widehat {BAD} + \\widehat {ABD} + \\widehat {BDA} = \\widehat {BCD} + \\widehat {BDC} + \\widehat {DBC}\\\\ \\Rightarrow \\widehat {DAB} = \\widehat {DBC}(do\\,\\widehat {BAD} = \\widehat {BCD};\\widehat {ABD} = \\widehat {BDC})\\end{array}\\)</p>\r\n<p align=\"left\">Xét \\(\\Delta ABD\\) và \\(\\Delta CDB\\) có:</p>\r\n<p align=\"left\">\\(\\begin{array}{l}\\left. \\begin{array}{l}\\widehat {ABD} = \\widehat {CDB}\\\\BDchung\\\\\\widehat {DBA} = \\widehat {DBC}\\end{array} \\right\\} \\Rightarrow \\Delta ABD = \\Delta CDB(g.c.g)\\\\ \\Rightarrow AB = DC\\\\AD = CB\\end{array}\\)</p>\r\n<p align=\"left\">Suy ra tứ giác ABCD là hình bình hành vì có cặp cạnh đối bằng nhau</p>","common_article":"","display_type":1,"vungoi_exam_id":"","article_type":1,"cmt_count":0,"zip_status":1,"last_modified_time":1702363635,"last_zip_time":1702363635,"zip_link":"https://offline.loigiaihay.com/articles/1392/136997/136997_1702363635.zip","picture":"","youtube_id":"_B4FXXZRNXw","video_start_time":"990","quizlet_id":"0","ref_article_id":0,"readmore_display_type":0,"wiki":0,"comment_url":"https://loigiaihay.com/comment/giai-bai-7-trang-121-sgk-toan-8-tap-1-canh-dieu-c1392a136997.html","origin_url":"https://loigiaihay.com/giai-bai-7-trang-121-sgk-toan-8-tap-1-canh-dieu-c1392a136997.html","relate_link":[]},"callouts":[],"relate_articles":[],"others_in_cat":[{"article_id":136998,"cat_id":1392,"publish_time":1681721040,"is_link":0,"thumbnail":"","title":"Giải bài 8 trang 121 SGK Toán 8 tập 1 - 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