{"id":20263,"date":"2025-07-07T15:40:52","date_gmt":"2025-07-07T08:40:52","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=20263"},"modified":"2025-07-08T05:36:02","modified_gmt":"2025-07-07T22:36:02","slug":"cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/","title":{"rendered":"C\u00e1ch gi\u1ea3i c\u00e1c d\u1ea1ng to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Toan_lop_5_hinh_hoc_hoc_nhung_gi\" >To\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc h\u1ecdc nh\u1eefng g\u00ec?<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Ke_hoach_day_hoc\" >K\u1ebf ho\u1ea1ch d\u1ea1y h\u1ecdc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Noi_dung_chuong_trinh_hoc_toan_hinh_lop_5\" >N\u1ed9i dung ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc to\u00e1n h\u00ecnh l\u1edbp 5<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Cac_dang_toan_hinh_hoc_tu_co_ban_den_nang_cao_o_lop_5\" >C\u00e1c d\u1ea1ng to\u00e1n h\u00ecnh h\u1ecdc t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao \u1edf l\u1edbp 5<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Dang_1_Nhan_dang_cac_loai_hinh_hoc\" >D\u1ea1ng 1: Nh\u1eadn d\u1ea1ng c\u00e1c lo\u1ea1i h\u00ecnh h\u1ecdc<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Ly_thuyet_can_nho\" >L\u00fd thuy\u1ebft c\u1ea7n nh\u1edb<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Cac_bai_tap_van_dung\" >C\u00e1c b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Dang_2_Tinh_chu_vi_dien_tich_cua_cac_hinh\" >D\u1ea1ng 2: T\u00ednh chu vi, di\u1ec7n t\u00edch c\u1ee7a c\u00e1c h\u00ecnh<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Hinh_tam_giac\" >H\u00ecnh tam gi\u00e1c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Hinh_thang\" >H\u00ecnh thang<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Hinh_tron\" >H\u00ecnh tr\u00f2n<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Dang_4_Hinh_hoc_phang\" >D\u1ea1ng 4: H\u00ecnh h\u1ecdc ph\u1eb3ng<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Ly_thuyet_can_nho-2\" >L\u00fd thuy\u1ebft c\u1ea7n nh\u1edb<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Cac_bai_tap_van_dung-2\" >C\u00e1c b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Dang_5_Dien_tich_va_the_tich_hinh_khoi\" >D\u1ea1ng 5: Di\u1ec7n t\u00edch v\u00e0 th\u1ec3 t\u00edch h\u00ecnh kh\u1ed1i<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Hinh_lap_phuong\" >H\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Hinh_tru\" >H\u00ecnh tr\u1ee5<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Dang_6_Tong_hop_bai_tap_toan_lop_5_hinh_hoc_nang_cao_va_phuong_phap_giai\" >D\u1ea1ng 6: T\u1ed5ng h\u1ee3p b\u00e0i t\u1eadp to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc n\u00e2ng cao v\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Bi_quyet_giup_be_hoc_cac_dang_toan_hinh_hoc_lop_5_hieu_qua\" >B\u00ed quy\u1ebft gi\u00fap b\u00e9 h\u1ecdc c\u00e1c d\u1ea1ng to\u00e1n h\u00ecnh h\u1ecdc l\u1edbp 5 hi\u1ec7u qu\u1ea3<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-giai-cac-dang-toan-lop-5-hinh-hoc-tu-co-ban-den-nang-cao\/#Kham_Pha_The_Gioi_Toan_Hoc_Vui_Nhon_Cung_Shining_Home_%E2%80%93_Gia_dinh_Anh_Ngu_Math\" >Kh\u00e1m Ph\u00e1 Th\u1ebf Gi\u1edbi To\u00e1n H\u1ecdc Vui Nh\u1ed9n C\u00f9ng Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math!<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>S\u1ef1 \u0111a d\u1ea1ng c\u1ee7a c\u00e1c d\u1ea1ng to\u00e1n trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc l\u1edbp 5 c\u00f3 th\u1ec3 khi\u1ebfn b\u00e9 cho\u00e1ng ng\u1ee3p v\u00e0 b\u1ed1i r\u1ed1i. Vi\u1ec7c nh\u1eadn d\u1ea1ng c\u00e1c c\u00f4ng th\u1ee9c to\u00e1n, \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00e1c b\u00e0i to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc \u0111\u00f4i khi g\u00e2y tr\u1edf ng\u1ea1i cho tr\u1ebb. V\u1eady l\u00e0m c\u00e1ch n\u00e0o \u0111\u1ec3 tr\u1ebb c\u1ea3m th\u1ea5y t\u1ef1 tin trong qu\u00e1 tr\u00ecnh gi\u1ea3i to\u00e1n h\u00ecnh v\u00e0 ph\u00e2n bi\u1ec7t r\u00f5 gi\u1eefa c\u00e1c lo\u1ea1i kh\u00e1c nhau? Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef c\u00f9ng b\u00e9 v\u00e0 c\u00e1c b\u1eadc ph\u1ee5 huynh \u0111i t\u00ecm l\u1eddi gi\u1ea3i \u0111\u00e1p ngay b\u00e2y gi\u1edd nh\u00e9!<\/p>\n<p>                                    <img decoding=\"async\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/image\/600x480.png\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Toan_lop_5_hinh_hoc_hoc_nhung_gi\"><\/span>To\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc h\u1ecdc nh\u1eefng g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Nh\u1eb1m gi\u00fap ph\u1ee5 huynh n\u1eafm b\u1eaft chi ti\u1ebft n\u1ed9i dung h\u1ecdc to\u00e1n h\u00ecnh l\u1edbp 5, b\u00e0i vi\u1ebft s\u1ebd khai th\u00e1c chi ti\u1ebft k\u1ebf ho\u1ea1ch d\u1ea1y h\u1ecdc v\u00e0 n\u1ed9i dung d\u1ea1y h\u1ecdc \u0111\u01b0\u1ee3c ban h\u00e0nh ch\u00ednh th\u1ee9c nh\u01b0 sau:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ke_hoach_day_hoc\"><\/span>K\u1ebf ho\u1ea1ch d\u1ea1y h\u1ecdc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc m\u00f4n To\u00e1n l\u1edbp 5 g\u1ed3m 35 tu\u1ea7n h\u1ecdc v\u1edbi 4 ch\u01b0\u01a1ng. M\u1ed7i tu\u1ea7n l\u1edbp c\u00f3 m\u1ed9t ch\u1ee7 \u0111\u1ec1 t\u01b0\u01a1ng \u1ee9ng. C\u00e1c ch\u1ee7 \u0111\u1ec1 bao g\u1ed3m ch\u01b0\u01a1ng tr\u00ecnh \u0111i\u1ec1u ch\u1ec9nh n\u1ed9i dung, th\u1eddi l\u01b0\u1ee3ng, thi\u1ebft b\u1ecb d\u1ea1y h\u1ecdc v\u00e0 t\u00e0i li\u1ec7u tham kh\u1ea3o; c\u1ea5u tr\u00fac c\u00e1c ch\u1ee7 \u0111\u1ec1 h\u1ecdc t\u1eadp \u0111\u1ec3 b\u1ed5 sung cho t\u00edch h\u1ee3p li\u00ean m\u00f4n; th\u1eddi gian v\u00e0 t\u1ed5 ch\u1ee9c \u2026Trong \u0111\u00f3, ch\u01b0\u01a1ng 3 s\u1ebd t\u1eadp trung khai th\u00e1c v\u1ec1 ch\u1ee7 \u0111\u1ec1 h\u00ecnh h\u1ecdc. Bao g\u1ed3m:<\/p>\n<table style=\"width: 100%\">\n<tr>\n<td style=\"text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B\u00e0i h\u1ecdc<\/p>\n<\/td>\n<td style=\"text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">T\u00ean b\u00e0i h\u1ecdc<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\" rowspan=\"4\">\n<p dir=\"ltr\">H\u00ecnh tam gi\u00e1c<\/p>\n<\/td>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">H\u00ecnh tam gi\u00e1c<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Di\u1ec7n t\u00edch h\u00ecnh tam gi\u00e1c<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp chung<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\" rowspan=\"4\">\n<p dir=\"ltr\">H\u00ecnh thang<\/p>\n<\/td>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">H\u00ecnh thang<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Di\u1ec7n t\u00edch h\u00ecnh thang<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp chung<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\" rowspan=\"5\">\n<p dir=\"ltr\">H\u00ecnh tr\u00f2n<\/p>\n<\/td>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">H\u00ecnh tr\u00f2n &#8211; \u0110\u01b0\u1eddng tr\u00f2n<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Chu vi h\u00ecnh tr\u00f2n<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp chung<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Gi\u1edbi thi\u1ec7u bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\" rowspan=\"3\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp t\u00ednh di\u1ec7n t\u00edch<\/p>\n<\/td>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp v\u1ec1 di\u1ec7n t\u00edch<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp v\u1ec1 di\u1ec7n t\u00edch<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp chung<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\" rowspan=\"6\">\n<p dir=\"ltr\">\u0110\u1ecbnh ngh\u0129a v\u00e0 b\u00e0i t\u1eadp v\u1ec1 h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt &#8211; H\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/p>\n<\/td>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">H\u00ccnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">H\u1ecdc c\u00e1ch t\u00ednh di\u1ec7n t\u00edch xung quanh v\u00e0 k\u1ebft h\u1ee3p t\u00ednh to\u00e1n di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">H\u1ecdc c\u00e1ch t\u00ednh di\u1ec7n t\u00edch xung quanh v\u00e0 k\u1ebft h\u1ee3p t\u00ednh to\u00e1n di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp chung<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\" rowspan=\"7\">\n<p dir=\"ltr\">Th\u1ec3 t\u00edch<\/p>\n<\/td>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Th\u1ec3 t\u00edch<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">X\u0103ng-ti-m\u00e9t kh\u1ed1i, \u0111\u1ec1-xi-m\u00e9t kh\u1ed1i<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u00e9t kh\u1ed1i<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Th\u1ec3 t\u00edch h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Th\u1ec3 t\u00edch h\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">Luy\u1ec7n t\u1eadp chung<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Noi_dung_chuong_trinh_hoc_toan_hinh_lop_5\"><\/span>N\u1ed9i dung ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc to\u00e1n h\u00ecnh l\u1edbp 5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n 5 \u0111\u01b0\u1ee3c chia th\u00e0nh 5 ch\u01b0\u01a1ng:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u01b0\u01a1ng 1: \u00d4n t\u1eadp v\u00e0 m\u1edf r\u1ed9ng c\u00e1c ph\u00e9p t\u00ednh li\u00ean quan \u0111\u1ebfn ph\u00e2n s\u1ed1. Gi\u1ea3i to\u00e1n t\u1ec9 l\u1ec7. B\u1ea3ng \u0111\u01a1n v\u1ecb \u0111o di\u1ec7n t\u00edch.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u01b0\u01a1ng 2: S\u1ed1 th\u1eadp ph\u00e2n v\u00e0 c\u00e1c ph\u00e9p to\u00e1n li\u00ean quan \u0111\u1ebfn s\u1ed1 th\u1eadp ph\u00e2n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u01b0\u01a1ng 3: H\u00ecnh h\u1ecdc.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u01b0\u01a1ng 4: Ph\u00e9p to\u00e1n v\u1ec1 t\u00ednh to\u00e1n th\u1eddi gian. T\u00ecm hi\u1ec3u to\u00e1n chuy\u1ec3n \u0111\u1ed9ng \u0111\u1ec1u<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u01b0\u01a1ng 5: \u00d4n t\u1eadp<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3, \u1edf ch\u01b0\u01a1ng 3 &#8211; H\u00ecnh h\u1ecdc:<\/p>\n<p dir=\"ltr\">H\u1ecdc sinh ti\u1ebfp t\u1ee5c h\u1ecdc c\u00e1c h\u00ecnh c\u01a1 b\u1ea3n nh\u01b0 h\u00ecnh tam gi\u00e1c, h\u00ecnh thang, h\u00ecnh tr\u00f2n. Ngo\u00e0i ra, h\u1ecdc sinh \u0111\u01b0\u1ee3c h\u1ecdc c\u00e1ch t\u00ednh to\u00e1n di\u1ec7n t\u00edch v\u00e0 chu vi t\u1eebng lo\u1ea1i h\u00ecnh c\u1ee5 th\u1ec3. Ngo\u00e0i ra, vi\u1ec7c h\u1ecdc h\u00ecnh h\u1ecdc c\u1ee7a h\u1ecdc sinh l\u1edbp n\u0103m m\u1edf r\u1ed9ng \u0111\u1ebfn c\u00e1c h\u00ecnh d\u1ea1ng 3D nh\u01b0 h\u00ecnh kh\u1ed1i, h\u00ecnh tr\u1ee5 v\u00e0 h\u00ecnh c\u1ea7u.<\/p>\n<p dir=\"ltr\">\u0110\u1ed1i v\u1edbi h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt v\u00e0 h\u00ecnh l\u1eadp ph\u01b0\u01a1ng, h\u1ecdc sinh c\u1ea7n bi\u1ebft c\u00e1ch t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 th\u1ec3 t\u00edch c\u1ee7a c\u1ea3 hai lo\u1ea1i h\u00ecnh h\u1ed9p. C\u1ea3 hai lo\u1ea1i h\u1ed9p n\u00e0y \u0111\u1ec1u d\u1ec5 d\u00e0ng b\u1eaft g\u1eb7p trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y c\u1ee7a tr\u1ebb.<\/p>\n<p dir=\"ltr\">\u0110\u1ec3 gi\u1edbi thi\u1ec7u v\u1ec1 th\u1ec3 t\u00edch, h\u1ecdc sinh c\u0169ng c\u1ea7n b\u1ed5 sung ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 c\u00e1c \u0111\u01a1n v\u1ecb \u0111o th\u1ec3 t\u00edch l\u00e0 x\u0103ng-ti-m\u00e9t kh\u1ed1i, \u0111\u1ec1-xi-m\u00e9t kh\u1ed1i, \u0111\u1ec1-xi-m\u00e9t kh\u1ed1i.<\/p>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef s\u1ebd t\u1ed5ng h\u1ee3p chi ti\u1ebft c\u00e1c c\u00f4ng th\u1ee9c to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc \u0111\u1ec3 c\u00e1c b\u00e9 c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng \u0111\u1ec3 gi\u1ea3i b\u00e0i t\u1eadp ch\u00ednh x\u00e1c h\u01a1n:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/cong-thuc-toan-hinh-lop-5.jpg\" alt=\"T\u1ed5ng h\u1ee3p c\u00e1c c\u00f4ng th\u1ee9c h\u00ecnh h\u1ecdc to\u00e1n l\u1edbp 5 chi ti\u1ebft. (\u1ea2nh: S\u01b0u t\u1ea7m internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_dang_toan_hinh_hoc_tu_co_ban_den_nang_cao_o_lop_5\"><\/span>C\u00e1c d\u1ea1ng to\u00e1n h\u00ecnh h\u1ecdc t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao \u1edf l\u1edbp 5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Ngo\u00e0i c\u00e1c d\u1ea1ng b\u00e0i \u00f4n t\u1eadp t\u1ed5ng qu\u00e1t v\u00e0 chi ti\u1ebft n\u00e2ng cao v\u1ec1 c\u00e1c d\u1ea1ng h\u00ecnh ph\u1ed5 bi\u1ebfn, h\u1ecdc sinh s\u1ebd t\u1eadp l\u00e0m quen v\u1edbi c\u00e1c kh\u1ed1i h\u00ecnh 3D n\u00e2ng cao, \u0111\u1ed3ng th\u1eddi t\u00ecm hi\u1ec3u v\u00e0 \u0111\u00e0o s\u00e2u v\u00e0o c\u00e1ch t\u00ednh th\u1ec3 t\u00edch c\u1ee7a m\u1ed9t h\u00ecnh.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dang_1_Nhan_dang_cac_loai_hinh_hoc\"><\/span>D\u1ea1ng 1: Nh\u1eadn d\u1ea1ng c\u00e1c lo\u1ea1i h\u00ecnh h\u1ecdc<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Tr\u01b0\u1edbc khi b\u01b0\u1edbc \u0111\u1ebfn giai \u0111o\u1ea1n t\u00ednh chu vi, di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t h\u00ecnh trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc, h\u1ecdc sinh c\u1ea7n n\u1eafm r\u00f5 l\u00fd thuy\u1ebft c\u00e1ch th\u1ee9c nh\u1eadn d\u1ea1ng m\u1ed9t h\u00ecnh c\u1ee5 th\u1ec3. T\u1eeb \u0111\u00f3 m\u1edbi c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh c\u00e1ch t\u00ednh ph\u00f9 h\u1ee3p cho t\u1eebng h\u00ecnh.<\/p>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ly_thuyet_can_nho\"><\/span>L\u00fd thuy\u1ebft c\u1ea7n nh\u1edb<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh tam gi\u00e1c l\u00e0 h\u00ecnh c\u00f3 3 \u0111\u1ec9nh v\u00e0 3 g\u00f3c.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh t\u1ee9 gi\u00e1c l\u00e0 h\u00ecnh c\u00f3 4 \u0111\u1ec9nh v\u00e0 4 g\u00f3c.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh vu\u00f4ng \u0111\u01b0\u1ee3c \u0111\u0129nh ngh\u0129a l\u00e0 h\u00ecnh c\u00f3 4 g\u00f3c vu\u00f4ng v\u1edbi 4 c\u1ea1nh b\u1eb1ng nhau v\u00e0 song song v\u1edbi nhau.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh ch\u1eef nh\u1eadt l\u00e0 h\u00ecnh c\u00f3 4 g\u00f3c vu\u00f4ng v\u1edbi 2 c\u1eb7p c\u1ea1nh b\u1eb1ng nhau.<\/p>\n<\/li>\n<\/ul>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_bai_tap_van_dung\"><\/span>C\u00e1c b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p dir=\"ltr\">B\u00e0i 1: Cho tam gi\u00e1c ABC. Tr\u00ean c\u1ea1nh BC ta l\u1ea5y 6 \u0111i\u1ec3m. Sau \u0111\u00f3, n\u1ed1i \u0111\u1ec9nh A v\u1edbi t\u1eebng \u0111i\u1ec3m \u0111\u00e3 v\u1ebd. H\u1ecfi \u0111\u1ebfm \u0111\u01b0\u1ee3c bao nhi\u00eau h\u00ecnh tam gi\u00e1c.<\/p>\n<p dir=\"ltr\">B\u00e0i 2: Cho h\u00ecnh ch\u1eef nh\u1eadt ABCD. L\u1ea5y trung \u0111i\u1ec5m tr\u00ean m\u1ed7i c\u1ea1nh AD v\u00e0 BC sao cho t\u1ea1o th\u00e0nh 4 c\u1ea1nh nh\u1ecf b\u1eb1ng nhau. AB v\u00e0 CD c\u1eaft chia th\u00e0nh 3 ph\u1ea7n b\u1eb1ng nhau. Cu\u1ed1i c\u00f9ng n\u1ed1i c\u00e1c \u0111i\u1ec3m \u0111\u00e3 v\u1ebd v\u00e0o v\u1edbi nhau.\u00a0 C\u00f3 bao nhi\u00eau h\u00ecnh ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh?<\/p>\n<p dir=\"ltr\">B\u00e0i 3: Cho 5 \u0111i\u1ec3m F, G, H, I, J trong \u0111\u00f3 kh\u00f4ng c\u00f3 3 \u0111i\u1ec3m n\u00e0o n\u1eb1m tr\u00ean c\u00f9ng m\u1ed9t \u0111o\u1ea1n th\u1eb3ng. V\u1eady t\u1ed5ng c\u1ed9ng c\u00f3 bao nhi\u00eau \u0111o\u1ea1n th\u1eb3ng \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh?<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dang_2_Tinh_chu_vi_dien_tich_cua_cac_hinh\"><\/span>D\u1ea1ng 2: T\u00ednh chu vi, di\u1ec7n t\u00edch c\u1ee7a c\u00e1c h\u00ecnh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Sau \u0111\u00e2y s\u1ebd l\u00e0 c\u00e1ch t\u00ednh chu vi v\u00e0 di\u1ec7n t\u00edch cho m\u1ed7i d\u1ea1ng h\u00ecnh kh\u00e1c nhau m\u00e0 h\u1ecdc sinh s\u1ebd \u0111\u01b0\u1ee3c h\u1ecdc trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc.<\/p>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Hinh_tam_giac\"><\/span>H\u00ecnh tam gi\u00e1c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p dir=\"ltr\">Sau \u0111\u00e2y l\u00e0 c\u00e1c ph\u00e9p t\u00ednh c\u00f4ng th\u1ee9c v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng cho c\u00e1ch t\u00ednh to\u00e1n di\u1ec7n t\u00edch v\u00e0 chu vi h\u00ecnh tam gi\u00e1c.<\/p>\n<p>Ki\u1ebfn th\u1ee9c c\u1ea7n nh\u1edb<\/p>\n<p dir=\"ltr\">Tam gi\u00e1c l\u00e0 h\u00ecnh bao g\u1ed3m 3 c\u1ea1nh v\u1edbi 3 \u0111\u1ec9nh t\u1ea1o th\u00e0nh m\u1ed9t tam gi\u00e1c. \u0110\u1ec9nh l\u00e0 \u0111i\u1ec3m m\u00e0 hai c\u1ea1nh g\u1eb7p nhau. C\u1ea3 3 c\u1ea1nh \u0111\u1ec1u c\u00f3 th\u1ec3 d\u00f9ng l\u00e0m \u0111\u1ebf.<\/p>\n<p dir=\"ltr\">\u0110\u01b0\u1eddng cao c\u1ee7a tam gi\u00e1c l\u00e0 \u0111o\u1ea1n th\u1eb3ng h\u1ea1 t\u1eeb tr\u00ean xu\u1ed1ng v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y. Do \u0111\u00f3, m\u1ed7i tam gi\u00e1c c\u00f3 3 \u0111\u01b0\u1eddng cao.<\/p>\n<p>C\u00f4ng th\u1ee9c t\u00ednh chu vi v\u00e0 di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t h\u00ecnh tam gi\u00e1c \u0111\u00e3 cho 3 c\u1ea1nh<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Chu vi tam gi\u00e1c: C = a + b + c<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3 a, b, c l\u1ea7n l\u01b0\u1ee3t l\u00e0 chi\u1ec1u d\u00e0i 3 c\u1ea1nh c\u1ee7a tam gi\u00e1c.<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Di\u1ec7n t\u00edch tam gi\u00e1c: S = (a x h) \/ 2<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li dir=\"ltr\">a: Chi\u1ec1u d\u00e0i \u0111\u00e1y tam gi\u00e1c (\u0111\u00e1y l\u00e0 m\u1ed9t trong 3 c\u1ea1nh c\u1ee7a tam gi\u00e1c t\u00f9y theo quy \u0111\u1eb7t c\u1ee7a ng\u01b0\u1eddi t\u00ednh)<\/li>\n<li dir=\"ltr\">h: Chi\u1ec1u cao c\u1ee7a tam gi\u00e1c, \u1ee9ng v\u1edbi ph\u1ea7n \u0111\u00e1y chi\u1ebfu l\u00ean (chi\u1ec1u cao tam gi\u00e1c b\u1eb1ng \u0111o\u1ea1n th\u1eb3ng h\u1ea1 t\u1eeb \u0111\u1ec9nh xu\u1ed1ng \u0111\u00e1y, \u0111\u1ed3ng th\u1eddi vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y c\u1ee7a m\u1ed9t tam gi\u00e1c)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/p>\n<p dir=\"ltr\" role=\"presentation\">B\u00e0i 1: T\u00ednh di\u1ec7n t\u00edch h\u00ecnh tam gi\u00e1c khi cho bi\u1ebft :<\/p>\n<p dir=\"ltr\">a, \u0110\u1ed9 d\u00e0i \u0111\u00e1y l\u00e0 17cm v\u00e0 chi\u1ec1u cao l\u00e0 13cm<\/p>\n<p dir=\"ltr\">b, \u0110\u1ed9 d\u00e0i \u0111\u00e1y l\u00e0 8m v\u00e0 chi\u1ec1u cao l\u00e0 5,5m<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2-toan-lop-2-hinh-hoc.jpg\" alt=\"C\u00e1c d\u1ea1ng h\u00ecnh tam gi\u00e1c. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Hinh_thang\"><\/span>H\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p dir=\"ltr\">V\u1eady c\u00f2n h\u00ecnh thang, l\u00e0m c\u00e1ch n\u00e0o \u0111\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c chu vi v\u00e0 di\u1ec7n t\u00edch h\u00ecnh thang theo nh\u01b0 h\u01b0\u1edbng d\u1eabn c\u1ee7a to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc?<\/p>\n<p>Ki\u1ebfn th\u1ee9c c\u1ea7n nh\u1edb<\/p>\n<p dir=\"ltr\">H\u00ecnh thang l\u00e0 t\u1ee9 gi\u00e1c l\u1ed3i v\u1edbi \u0111\u1eb7c \u0111i\u1ec3m nh\u1eadn d\u1ea1ng l\u00e0 hai c\u1ea1nh \u0111\u1ed1i song song.\u00a0 Hai c\u1ea1nh n\u00e0y \u0111\u01b0\u1ee3c quy \u01b0\u1edbc l\u00e0 hai c\u1ea1nh \u0111\u00e1y c\u1ee7a m\u1ed9t h\u00ecnh thang. Hai c\u1ea1nh c\u00f2n l\u00e0 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 c\u1ea1nh b\u00ean.<\/p>\n<p>C\u00f4ng th\u1ee9c t\u00ednh chu vi v\u00e0 di\u1ec7n t\u00edch h\u00ecnh thang<\/p>\n<ul>\n<li dir=\"ltr\">Di\u1ec7n t\u00edch h\u00ecnh thang: S = h \u00d7 ((a + b)\/2)<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li dir=\"ltr\">a v\u00e0 b: Chi\u1ec1u d\u00e0i \u0111\u00e1y c\u1ee7a h\u00ecnh thang\u00a0<\/li>\n<li dir=\"ltr\">h: Chi\u1ec1u cao c\u1ee7a h\u00ecnh thang, \u1ee9ng v\u1edbi ph\u1ea7n \u0111\u00e1y chi\u1ebfu l\u00ean (chi\u1ec1u cao h\u00ecnh thang b\u1eb1ng \u0111o\u1ea1n th\u1eb3ng h\u1ea1 t\u1eeb \u0111\u1ec9nh xu\u1ed1ng \u0111\u00e1y, \u0111\u1ed3ng th\u1eddi vu\u00f4ng g\u00f3c v\u1edbi \u0111\u00e1y c\u1ee7a h\u00ecnh thang \u0111\u00f3)<\/li>\n<\/ul>\n<\/li>\n<li dir=\"ltr\">Chu vi h\u00ecnh thang: P = a + b + c + d<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3: a, b, c v\u00e0 d l\u00e0 c\u1ea1nh c\u1ee7a h\u00ecnh thang\u00a0<\/p>\n<p>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u00e0i 1: Cho h\u00ecnh thang ABCD c\u00f3 \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao l\u00e0 4,2 dm, di\u1ec7n t\u00edch = 36,12 dm2 v\u00e0 \u0111\u00e1y l\u1edbn CD d\u00e0i h\u01a1n \u0111\u00e1y b\u00e9 AB l\u00e0 7,8 dm. K\u00e9o d\u00e0i AD v\u00e0 BC c\u1eaft nhau t\u1ea1i E. Bi\u1ebft AD = 3\/5 DE. T\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c ABE v\u1edbi c\u00e1c d\u1eef li\u1ec7u \u0111\u00e3 cho tr\u00ean.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u00e0i 2: Cho h\u00ecnh thang ABCD. B\u1ed1n \u0111i\u1ec3m M, N, P, Q l\u1ea7n l\u01b0\u1ee3t l\u00e0 trung \u0111i\u1ec3m c\u1ee7a c\u00e1c c\u1ea1nh AB, BC, CD, DA. Bi\u1ebft di\u1ec7n t\u00edch t\u1ee9 gi\u00e1c MNPQ l\u00e0 115 cm2. T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang ABCD.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/3-toan-lop-2-hinh-hoc.png\" alt=\"C\u00e1ch t\u00ednh chu vi v\u00e0 di\u1ec7n t\u00edch h\u00ecnh thang. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Hinh_tron\"><\/span>H\u00ecnh tr\u00f2n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p dir=\"ltr\">Ph\u1ee5 huynh c\u00f3 th\u1ec3 \u0111\u1eb7t ra c\u00e2u \u0111\u1ed1 v\u1ec1 c\u00e1ch t\u00ednh chu vi v\u00e0 di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n cho c\u00e1c b\u00e9. \u0110\u00e2y s\u1ebd l\u00e0 c\u00e2u h\u1ecfi th\u00fa v\u1ecb gi\u00fap b\u00e9 \u00f4n l\u1ea1i ki\u1ebfn th\u1ee9c \u0111\u1ed3ng th\u1eddi tho\u1ea3i m\u00e1i chia s\u1ebb v\u00e0 ch\u1ee7 \u0111\u1ed9ng trong vi\u1ec7c h\u1ecdc h\u01a1n.<\/p>\n<p>Ki\u1ebfn th\u1ee9c c\u1ea7n nh\u1edb<\/p>\n<p dir=\"ltr\">Tr\u00ean m\u1eb7t ph\u1eb3ng, h\u00ecnh tr\u00f2n l\u00e0 di\u1ec7n t\u00edch tr\u00ean m\u1eb7t ph\u1eb3ng n\u1eb1m &#8220;trong&#8221; m\u1ed9t h\u00ecnh tr\u00f2n. Chu vi, b\u00e1n k\u00ednh v\u00e0 t\u00e2m c\u1ee7a m\u1ed9t h\u00ecnh tr\u00f2n l\u00e0 t\u00e2m v\u00e0 b\u00e1n k\u00ednh c\u1ee7a h\u00ecnh tr\u00f2n bao quanh n\u00f3.<\/p>\n<p>C\u00f4ng th\u1ee9c t\u00ednh chu vi v\u00e0 di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t h\u00ecnh tr\u00f2n cho bi\u1ebft \u0111\u01b0\u1eddng k\u00ednh v\u00e0 b\u00e1n k\u00ednh<\/p>\n<ul>\n<li dir=\"ltr\">Chu vi h\u00ecnh tr\u00f2n: C= d x Pi ho\u1eb7c C = (r x 2) x Pi.<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">C: chu vi h\u00ecnh tr\u00f2n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">d: \u0111\u01b0\u1eddng k\u00ednh h\u00ecnh tr\u00f2n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Pi: S\u1ed1 Pi (~3,141&#8230;).<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">r: b\u00e1n k\u00ednh h\u00ecnh tr\u00f2n.<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li dir=\"ltr\">Di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n: S = Pi x r2<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S: di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Pi: S\u1ed1 Pi (~3,141&#8230;).<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">r: b\u00e1n k\u00ednh h\u00ecnh tr\u00f2n.<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/p>\n<p dir=\"ltr\" role=\"presentation\">B\u00e0i 1: C\u00f3 m\u1ed9t h\u00ecnh tr\u00f2n C c\u00f3 \u0111\u01b0\u1eddng k\u00ednh b\u1eb1ng 10cm. H\u1ecfi chu vi h\u00ecnh tr\u00f2n C b\u1eb1ng bao nhi\u00eau?<\/p>\n<p dir=\"ltr\" role=\"presentation\">B\u00e0i 2: T\u00ednh di\u1ec7n t\u00edch h\u00ecnh tr\u00f2n khi bi\u1ebft chu vi h\u00ecnh tr\u00f2n \u0111\u00f3 l\u00e0 15,7cm.<\/p>\n<p dir=\"ltr\" role=\"presentation\">Xem th\u00eam: Top 7+ app game h\u1ecdc to\u00e1n l\u1edbp 5 gi\u00fap t\u0103ng c\u01b0\u1eddng kh\u1ea3 n\u0103ng t\u01b0 duy cho tr\u1ebb<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/4-toan-lop-2-hinh-hoc.jpg\" alt=\"C\u00e1ch t\u00ednh chu vi v\u00e0 di\u1ec7n t\u00edch h\u00ecnh thang. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dang_4_Hinh_hoc_phang\"><\/span>D\u1ea1ng 4: H\u00ecnh h\u1ecdc ph\u1eb3ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">C\u00f3 \u0111i\u1ec1u g\u00ec m\u00e0 h\u1ecdc sinh c\u1ea7n l\u01b0u \u00fd khi th\u1ef1c hi\u1ec7n c\u00e1c b\u00e0i t\u1eadp to\u00e1n h\u00ecnh h\u1ecdc ph\u1eb3ng hay kh\u00f4ng? C\u00f9ng Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef t\u00ecm hi\u1ec3u ngay sau \u0111\u00e2y nh\u00e9!<\/p>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ly_thuyet_can_nho-2\"><\/span>L\u00fd thuy\u1ebft c\u1ea7n nh\u1edb<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p dir=\"ltr\">B\u00e0i to\u00e1n h\u00ecnh h\u1ecdc ph\u1eb3ng \u0111\u01b0\u1ee3c chia th\u00e0nh hai d\u1ea1ng nh\u1ecf:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">C\u00e1c b\u00e0i to\u00e1n kh\u00f4ng c\u00f3 n\u1ed9i dung th\u1ef1c t\u1ebf: c\u00e1c b\u00e0i to\u00e1n v\u1ec1 m\u1ea3nh \u0111\u1ea5t, s\u1ed1 li\u1ec7u v\u00e0 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch, chu vi ho\u1eb7c m\u1ed9t c\u1ea1nh n\u00e0o \u0111\u00f3 &#8230;<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">C\u00e2u h\u1ecfi c\u00f3 n\u1ed9i dung th\u1ef1c t\u1ebf: Trong c\u00e1c c\u00e2u h\u1ecfi \u0111\u1ec1u c\u00f3 d\u1eef li\u1ec7u li\u00ean quan \u0111\u1ebfn th\u1ef1c t\u1ebf cu\u1ed9c s\u1ed1ng.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">\u0110\u1ed1i v\u1edbi m\u00f4n to\u00e1n n\u00e0y, ch\u00fang ta c\u1ea7n ghi nh\u1edb v\u00e0 v\u1eadn d\u1ee5ng c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh chu vi, di\u1ec7n t\u00edch c\u00e1c h\u00ecnh ph\u1eb3ng \u0111\u00e3 h\u1ecdc: h\u00ecnh vu\u00f4ng, h\u00ecnh ch\u1eef nh\u1eadt, h\u00ecnh tam gi\u00e1c, h\u00ecnh tr\u00f2n, h\u00ecnh thang, h\u00ecnh b\u00ecnh h\u00e0nh.<\/p>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_bai_tap_van_dung-2\"><\/span>C\u00e1c b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u00e0i 1: M\u1ed9t th\u1eeda ru\u1ed9ng c\u00f3 d\u1ea1ng h\u00ecnh thang v\u1edbi chi\u1ec1u d\u00e0i \u0111\u00e1y l\u1edbn l\u00e0 120m. Bi\u1ebft \u0111\u00e1y b\u00e9 c\u00f3 chi\u1ec1u d\u00e0i ngang b\u1eb1ng \u0111\u00e1y l\u1edbn. \u0110\u00e1y b\u00e9 d\u00e0i h\u01a1n chi\u1ec1u cao 5m. C\u1ee9 100m2 trung b\u00ecnh th\u00ec ng\u01b0\u1eddi n\u00f4ng d\u00e2n thu v\u1ec1 \u0111\u01b0\u1ee3c 72kg th\u00f3c. H\u1ecfi ng\u01b0\u1eddi n\u00f4ng d\u00e2n thu v\u1ec1 \u0111\u01b0\u1ee3c bao nhi\u00eau kg th\u00f3c tr\u00ean th\u1eeda ru\u1ed9ng h\u00ecnh thang tr\u00ean.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u00e0i 2: Ta c\u00f3 m\u1ed9t t\u1ea5m b\u00eca h\u00ecnh b\u00ecnh h\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh v\u1edbi chu vi 4dm. V\u1edbi c\u00e1c s\u1ed1 \u0111o bao g\u1ed3m chi\u1ec1u d\u00e0i h\u01a1n chi\u1ec1u r\u1ed9ng 10cm. Ngo\u00e0i ra chi\u1ec1u d\u00e0i c\u0169ng ngang b\u1eb1ng chi\u1ec1u cao. T\u00ednh di\u1ec7n t\u00edch t\u1ea5m b\u00eca \u0111\u00f3.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u00e0i 3: M\u1ed9t h\u00ecnh vu\u00f4ng c\u00f3 di\u1ec7n t\u00edch b\u1eb1ng 4\/9 di\u1ec7n t\u00edch c\u1ee7a m\u1ed9t h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 \u0111\u00e1y 25cm v\u00e0 chi\u1ec1u cao 9cm. T\u00ednh c\u1ea1nh c\u1ee7a h\u00ecnh vu\u00f4ng.<\/p>\n<\/li>\n<\/ul>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dang_5_Dien_tich_va_the_tich_hinh_khoi\"><\/span>D\u1ea1ng 5: Di\u1ec7n t\u00edch v\u00e0 th\u1ec3 t\u00edch h\u00ecnh kh\u1ed1i<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Kh\u00e1c so v\u1edbi c\u00e1c h\u00ecnh b\u1ec1 m\u1eb7t ph\u1eb3ng, c\u00e1ch t\u00ednh h\u00ecnh kh\u1ed1i c\u00f3 m\u1ed9t s\u1ef1 kh\u00e1c bi\u1ec7t nh\u1ea5t \u0111\u1ecbnh. Trong qu\u00e1 tr\u00ecnh h\u1ecdc to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc, \u0111\u1eb7c bi\u1ec7t l\u00e0 h\u00ecnh kh\u1ed1i, h\u1ecdc sinh c\u1ea7n l\u01b0u \u00fd k\u1ef9 nh\u1eefng \u0111i\u1ec1u sau.<\/p>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Hinh_lap_phuong\"><\/span>H\u00ecnh l\u1eadp ph\u01b0\u01a1ng<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p dir=\"ltr\">H\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 g\u00ec v\u00e0 c\u00e1ch t\u00ednh h\u00ecnh l\u1eadp ph\u01b0\u01a1ng nh\u01b0 th\u1ebf n\u00e0o? C\u00e1c b\u1eadc ph\u1ee5 huynh c\u00f9ng con tr\u1ebb kh\u00e1m ph\u00e1 ngay nh\u00e9!<\/p>\n<p>L\u00fd thuy\u1ebft c\u1ea7n nh\u1edb<\/p>\n<p dir=\"ltr\">H\u00ecnh l\u1eadp ph\u01b0\u01a1ng l\u00e0 h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f3 6 m\u1eb7t, 8 \u0111\u1ec9nh, 12 c\u1ea1nh v\u00e0 t\u1ea5t c\u1ea3 c\u00e1c m\u1eb7t \u0111\u1ec1u l\u00e0 h\u00ecnh vu\u00f4ng c\u00f3 c\u00e1c c\u1ea1nh b\u1eb1ng nhau. Ho\u1eb7c h\u00ecnh l\u1eadp ph\u01b0\u01a1ng c\u00f2n l\u00e0 m\u1ed9t kh\u1ed1i h\u00ecnh c\u00f3 chi\u1ec1u d\u00e0i, chi\u1ec1u r\u1ed9ng v\u00e0 chi\u1ec1u cao b\u1eb1ng nhau.<\/p>\n<p>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch v\u00e0 th\u1ec3 t\u00edch m\u1ed9t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/p>\n<ul>\n<li dir=\"ltr\">Th\u1ec3 t\u00edch c\u1ee7a m\u1ed9t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng: V = a x a x a = a3<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3: a: c\u00e1c c\u1ea1nh c\u1ee7a m\u1ed9t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng.<\/p>\n<ul>\n<li dir=\"ltr\">Di\u1ec7n t\u00edch xung quanh c\u1ee7a m\u1ed9t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng: Sxq = 4 x a\u00b2<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Sxq: Di\u1ec7n t\u00edch xung quanh.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">a: c\u00e1c c\u1ea1nh c\u1ee7a h\u00ecnh l\u1eadp ph\u01b0\u01a1ng<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li dir=\"ltr\">Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a m\u1ed9t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng: Stp = 6 x a\u00b2<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Stp: Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">a: c\u00e1c c\u1ea1nh c\u1ee7a h\u00ecnh l\u1eadp ph\u01b0\u01a1ng.<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>C\u00e1c b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/p>\n<p dir=\"ltr\">B\u00e0i 1: C\u00f3 m\u1ed9t h\u00ecnh l\u1eadp ph\u01b0\u01a1ng 6 c\u1ea1nh ABCDEF v\u1edbi c\u00e1c c\u1ea1nh \u0111\u1ec1u c\u00f3 k\u00edch th\u01b0\u1edbc b\u1eb1ng nhau v\u1edbi chi\u1ec1u d\u00e0i l\u00e0 5cm . H\u1ecfi di\u1ec7n t\u00edch v\u00e0 th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh l\u1eadp ph\u01b0\u01a1ng n\u00e0y b\u1eb1ng bao nhi\u00eau?<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/05-toan-lop-2-hinh-hoc.png\" alt=\"H\u00ecnh l\u1eadp ph\u01b0\u01a1ng. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h4 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Hinh_tru\"><\/span>H\u00ecnh tr\u1ee5<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p dir=\"ltr\">Ngo\u00e0i h\u00ecnh l\u1eadp ph\u01b0\u01a1ng, b\u00e9 c\u0169ng s\u1ebd b\u1eaft \u0111\u1ea7u t\u00ecm hi\u1ec3u v\u1ec1 d\u1ea1ng h\u00ecnh tr\u1ee5 trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc. V\u1eady c\u00e1c c\u00f4ng th\u1ee9c li\u00ean quan \u0111\u1ebfn h\u00ecnh tr\u1ee5 bao g\u1ed3m nh\u1eefng g\u00ec?<\/p>\n<p>L\u00fd thuy\u1ebft c\u1ea7n nh\u1edb<\/p>\n<p dir=\"ltr\">H\u00ecnh tr\u1ee5 l\u00e0 h\u00ecnh \u0111\u01b0\u1ee3c bao b\u1edfi m\u1ed9t h\u00ecnh tr\u1ee5 v\u00e0 hai \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 \u0111\u01b0\u1eddng k\u00ednh b\u1eb1ng nhau.<\/p>\n<p>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch v\u00e0 th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5<\/p>\n<ul>\n<li dir=\"ltr\">C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh tr\u1ee5: V=\u03c0\u2217r2\u2217h=3.14\u2217r2\u2217h=S\u0111\u00e1y\u2217h<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">R: b\u00e1n k\u00ednh h\u00ecnh tr\u1ee5.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H: chi\u1ec1u cao<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u03a0: h\u1eb1ng s\u1ed1 (\u03c0 = 3,14).<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u0111\u00e1y: di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y c\u1ee7a h\u00ecnh tr\u1ee5.<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li dir=\"ltr\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a m\u1ed9t h\u00ecnh tr\u1ee5: Sxq = 2.\u03c0.r.h<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li style=\"list-style-type: none\">\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">r: B\u00e1n k\u00ednh h\u00ecnh tr\u1ee5.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">h: Chi\u1ec1u cao n\u1ed1i t\u1eeb \u0111\u00e1y t\u1edbi \u0111\u1ec9nh h\u00ecnh tr\u1ee5.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">\u03c0 = 3.14<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/p>\n<p dir=\"ltr\">B\u00e0i 1: T\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 c\u1ea3 th\u1ec3 t\u00edch c\u1ee7a m\u1ed9t h\u00ecnh tr\u1ee5, bi\u1ebft:\u00a0<\/p>\n<p dir=\"ltr\">a) B\u00e1n k\u00ednh \u0111\u00e1y 4cm, chi\u1ec1u cao 5cm.<\/p>\n<p dir=\"ltr\">b) B\u00e1n k\u00ednh \u0111\u00e1y 5dm, chi\u1ec1u cao 1,4dm<\/p>\n<p dir=\"ltr\">c) B\u00e1n k\u00ednh \u0111\u00e1y 1\/2m, chi\u1ec1u cao 1\/4m<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Dang_6_Tong_hop_bai_tap_toan_lop_5_hinh_hoc_nang_cao_va_phuong_phap_giai\"><\/span>D\u1ea1ng 6: T\u1ed5ng h\u1ee3p b\u00e0i t\u1eadp to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc n\u00e2ng cao v\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>D\u01b0\u1edbi \u0111\u00e2y l\u00e0 file PDF t\u1ed5ng h\u1ee3p c\u00e1c b\u00e0i t\u1eadp to\u00e1n l\u1edbp 5 ph\u1ea7n h\u00ecnh h\u1ecdc, ba m\u1eb9 c\u00f3 th\u1ec3 t\u1ea3i v\u1ec1 \u0111\u1ec3 con em m\u00ecnh luy\u1ec7n t\u1eadp, gi\u00fap c\u00e1c con n\u1eafm v\u1eefng h\u01a1n nh\u1eefng ki\u1ebfn th\u1ee9c m\u1edbi trong ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 5.<\/p>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #f1c40f;margin-left: auto;margin-right: auto\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%;text-align: center\">DOWNLOAD B\u00c0I T\u1eacP TO\u00c1N L\u1edaP 5 H\u00ccNH H\u1eccC<\/td>\n<\/tr>\n<\/table>\n<h2><span class=\"ez-toc-section\" id=\"Bi_quyet_giup_be_hoc_cac_dang_toan_hinh_hoc_lop_5_hieu_qua\"><\/span>B\u00ed quy\u1ebft gi\u00fap b\u00e9 h\u1ecdc c\u00e1c d\u1ea1ng to\u00e1n h\u00ecnh h\u1ecdc l\u1edbp 5 hi\u1ec7u qu\u1ea3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To\u00e1n h\u00ecnh h\u1ecdc l\u1edbp 5 l\u00e0 ph\u1ea7n ki\u1ebfn th\u1ee9c quan tr\u1ecdng, gi\u00fap h\u1ecdc sinh hi\u1ec3u r\u00f5 c\u00e1c kh\u00e1i ni\u1ec7m n\u1ec1n t\u1ea3ng v\u1ec1 h\u00ecnh h\u1ecdc c\u0169ng nh\u01b0 c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch, th\u1ec3 t\u00edch c\u00e1c h\u00ecnh. \u0110\u1ec3 gi\u00fap con h\u1ecdc t\u1ed1t to\u00e1n l\u1edbp 5 ph\u1ea7n h\u00ecnh h\u1ecdc, ba m\u1eb9 c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p sau \u0111\u00e2y:<\/p>\n<ul>\n<li>\n<p>Gi\u00fap con n\u1eafm ch\u1eafc c\u00e1c ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n: Ba m\u1eb9 h\u00e3y c\u00f9ng con \u00f4n l\u1ea1i c\u00e1c kh\u00e1i ni\u1ec7m v\u00e0 ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc c\u01a1 b\u1ea3n \u0111\u1ec3 t\u1ea1o n\u1ec1n t\u1ea3ng v\u1eefng ch\u1eafc cho vi\u1ec7c h\u1ecdc n\u00e2ng cao. Vi\u1ec7c hi\u1ec3u r\u00f5 kh\u00e1i ni\u1ec7m s\u1ebd gi\u00fap con ti\u1ebfp thu ki\u1ebfn th\u1ee9c m\u1edbi d\u1ec5 d\u00e0ng h\u01a1n.<\/p>\n<\/li>\n<li>\n<p>Luy\u1ec7n t\u1eadp th\u01b0\u1eddng xuy\u00ean: Luy\u1ec7n t\u1eadp l\u00e0 ch\u00eca kh\u00f3a gi\u00fap con ghi nh\u1edb v\u00e0 th\u00e0nh th\u1ea1o c\u00e1c k\u1ef9 n\u0103ng to\u00e1n h\u00ecnh h\u1ecdc. Ba m\u1eb9 n\u00ean t\u1ea1o \u0111i\u1ec1u ki\u1ec7n \u0111\u1ec3 con l\u00e0m b\u00e0i t\u1eadp th\u01b0\u1eddng xuy\u00ean, c\u00f3 th\u1ec3 k\u1ebft h\u1ee3p c\u00e1c tr\u00f2 ch\u01a1i h\u1ecdc t\u1eadp \u0111\u1ec3 gi\u00fap con h\u1ee9ng th\u00fa h\u01a1n.<\/p>\n<\/li>\n<li>\n<p>Ki\u00ean nh\u1eabn gi\u1ea3i th\u00edch khi con g\u1eb7p kh\u00f3 kh\u0103n: Khi con g\u1eb7p v\u1ea5n \u0111\u1ec1 trong vi\u1ec7c h\u1ecdc, ba m\u1eb9 h\u00e3y ki\u00ean nh\u1eabn gi\u1ea3i th\u00edch v\u00e0 h\u1ed7 tr\u1ee3 con. C\u00e1c m\u00f4 h\u00ecnh tr\u1ef1c quan ho\u1eb7c h\u00ecnh \u1ea3nh minh h\u1ecda s\u1ebd l\u00e0 c\u00f4ng c\u1ee5 h\u1eefu \u00edch gi\u00fap con d\u1ec5 h\u00ecnh dung v\u00e0 hi\u1ec3u b\u00e0i h\u01a1n.<\/p>\n<\/li>\n<li>\n<p>Khuy\u1ebfn kh\u00edch con t\u1ef1 h\u1ecdc v\u00e0 kh\u00e1m ph\u00e1 th\u00eam: H\u00e3y \u0111\u1ed9ng vi\u00ean con t\u1ef1 t\u00ecm t\u00f2i v\u00e0 nghi\u00ean c\u1ee9u th\u00eam ki\u1ebfn th\u1ee9c v\u1ec1 h\u00ecnh h\u1ecdc qua s\u00e1ch, internet, ho\u1eb7c c\u00e1c t\u00e0i li\u1ec7u tr\u1ef1c tuy\u1ebfn. Ba m\u1eb9 c\u00f3 th\u1ec3 khuy\u1ebfn kh\u00edch con tham gia v\u00e0o c\u00e1c l\u1edbp h\u1ecdc th\u00eam ho\u1eb7c s\u1eed d\u1ee5ng c\u00e1c \u1ee9ng d\u1ee5ng, tr\u00f2 ch\u01a1i to\u00e1n h\u1ecdc \u0111\u1ec3 con h\u1ecdc t\u1eadp m\u1ed9t c\u00e1ch ch\u1ee7 \u0111\u1ed9ng v\u00e0 s\u00e1ng t\u1ea1o.<\/p>\n<\/li>\n<\/ul>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #FBEEB8\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%\">\n<h3 style=\"text-align: center\"><span class=\"ez-toc-section\" id=\"Kham_Pha_The_Gioi_Toan_Hoc_Vui_Nhon_Cung_Shining_Home_%E2%80%93_Gia_dinh_Anh_Ngu_Math\"><\/span>Kh\u00e1m Ph\u00e1 Th\u1ebf Gi\u1edbi To\u00e1n H\u1ecdc Vui Nh\u1ed9n C\u00f9ng Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math!<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Gi\u00fap b\u00e9 h\u1ecdc to\u00e1n ti\u1ebfng Anh hi\u1ec7u qu\u1ea3 v\u00e0 th\u00fa v\u1ecb v\u1edbi Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math \u2013 \u1ee9ng d\u1ee5ng h\u1ecdc to\u00e1n d\u00e0nh cho tr\u1ebb m\u1ea7m non v\u00e0 ti\u1ec3u h\u1ecdc, \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf theo ch\u01b0\u01a1ng tr\u00ecnh gi\u00e1o d\u1ee5c ph\u1ed5 th\u00f4ng m\u1edbi nh\u1ea5t. V\u1edbi h\u01a1n 400 b\u00e0i h\u1ecdc h\u1ea5p d\u1eabn v\u00e0 10.000+ ho\u1ea1t \u0111\u1ed9ng t\u01b0\u01a1ng t\u00e1c, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math mang \u0111\u1ebfn cho tr\u1ebb m\u1ed9t h\u00e0nh tr\u00ecnh h\u1ecdc to\u00e1n \u0111\u1ea7y s\u00e1ng t\u1ea1o, b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh SGK hi\u1ec7n h\u00e0nh.<\/p>\n<p>\u1ee8ng d\u1ee5ng n\u00e0y \u00e1p d\u1ee5ng nhi\u1ec1u ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc to\u00e1n t\u01b0 duy nh\u01b0 h\u1ecdc qua tr\u00f2 ch\u01a1i, s\u1eed d\u1ee5ng s\u00e1ch b\u00e0i t\u1eadp b\u1ed5 tr\u1ee3, v\u00e0 ph\u01b0\u01a1ng ph\u00e1p d\u1ea1y h\u1ecdc t\u00edch c\u1ef1c. Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math k\u00edch th\u00edch s\u1ef1 s\u00e1ng t\u1ea1o c\u1ee7a tr\u1ebb, khuy\u1ebfn kh\u00edch b\u00e9 t\u1ef1 \u0111\u1eb7t c\u00e2u h\u1ecfi \u0111\u1ec3 hi\u1ec3u r\u00f5 v\u00e0 t\u1eadn g\u1ed1c v\u1ea5n \u0111\u1ec1 trong To\u00e1n h\u1ecdc. V\u1edbi 60+ ch\u1ee7 \u0111\u1ec1 to\u00e1n h\u1ecdc phong ph\u00fa, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math kh\u00f4ng ch\u1ec9 gi\u00fap tr\u1ebb l\u00e0m quen v\u1edbi c\u00e1c kh\u00e1i ni\u1ec7m to\u00e1n c\u01a1 b\u1ea3n m\u00e0 c\u00f2n ph\u00e1t tri\u1ec3n t\u01b0 duy logic ngay t\u1eeb nh\u1eefng n\u0103m \u0111\u1ea7u \u0111\u1eddi.<\/p>\n<p style=\"text-align: center\">Ba m\u1eb9 h\u00e3y t\u1ea3i ngay Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math \u0111\u1ec3 c\u00f9ng con kh\u00e1m ph\u00e1 m\u1ed9t th\u1ebf gi\u1edbi to\u00e1n h\u1ecdc \u0111\u1ea7y m\u00e0u s\u1eafc, s\u00e1ng t\u1ea1o v\u00e0 hi\u1ec7u qu\u1ea3!<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/Download-Now-Button-PNG-File.png\" alt=\"\" width=\"200\" height=\"66\"><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<p>Hy v\u1ecdng r\u1eb1ng v\u1edbi ngu\u1ed3n ki\u1ebfn th\u1ee9c Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef cung c\u1ea5p, b\u00e9 \u0111\u00e3 c\u00f3 th\u1ec3 luy\u1ec7n t\u1eadp v\u00e0 trau d\u1ed3i k\u1ef9 n\u0103ng gi\u1ea3i to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc khoa h\u1ecdc v\u00e0 hi\u1ec7u qu\u1ea3 h\u01a1n. Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef c\u00f9ng b\u00e9 \u0111\u1ed3ng h\u00e0nh trong m\u1ecdi ch\u1eb7ng \u0111\u01b0\u1eddng gi\u1ea3i to\u00e1n.<\/p>\n<p>Ngu\u1ed3n: <a href=\"http:\/\/www.ckconitsha.com\/vn\/\">http:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>S\u1ef1 \u0111a d\u1ea1ng c\u1ee7a c\u00e1c d\u1ea1ng to\u00e1n trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc l\u1edbp 5 c\u00f3 th\u1ec3 khi\u1ebfn b\u00e9 cho\u00e1ng ng\u1ee3p v\u00e0 b\u1ed1i r\u1ed1i. Vi\u1ec7c nh\u1eadn d\u1ea1ng c\u00e1c c\u00f4ng th\u1ee9c to\u00e1n, \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00e1c b\u00e0i to\u00e1n l\u1edbp 5 h\u00ecnh h\u1ecdc \u0111\u00f4i khi g\u00e2y tr\u1edf ng\u1ea1i cho tr\u1ebb. V\u1eady l\u00e0m c\u00e1ch n\u00e0o \u0111\u1ec3 tr\u1ebb c\u1ea3m th\u1ea5y t\u1ef1&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-20263","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/20263","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=20263"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/20263\/revisions"}],"predecessor-version":[{"id":24938,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/20263\/revisions\/24938"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=20263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=20263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=20263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}