{"id":14355,"date":"2025-06-08T02:20:32","date_gmt":"2025-06-07T19:20:32","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=14355"},"modified":"2025-07-04T17:05:04","modified_gmt":"2025-07-04T10:05:04","slug":"hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/","title":{"rendered":"H\u00ecnh thang c\u00e2n: Kh\u00e1i ni\u1ec7m, t\u00ednh ch\u1ea5t, d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft &amp; c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh"},"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\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Hinh_thang_hinh_thang_la_gi\" >H\u00ecnh thang h\u00ecnh thang l\u00e0 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\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Khai_niem_ve_hinh_thang\" >Kh\u00e1i ni\u1ec7m v\u1ec1 h\u00ecnh thang<\/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\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Dac_diem_cua_tinh_chat_hinh_thang\" >\u0110\u1eb7c \u0111i\u1ec3m c\u1ee7a t\u00ednh ch\u1ea5t h\u00ecnh thang<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Dau_hieu_trong_luong_hinh_thang\" >D\u1ea5u hi\u1ec7u tr\u1ecdng l\u01b0\u1ee3ng h\u00ecnh thang<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Cach_chung_minh_hinh_thang\" >C\u00e1ch ch\u1ee9ng minh h\u00ecnh thang<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Cong_thuc_tinh_toan_dien_tich_va_chu_vi_cua_hinh_thang\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch v\u00e0 chu vi c\u1ee7a h\u00ecnh thang<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Cong_thuc_tinh_toan_quy_mo_cua_thang_do\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n quy m\u00f4 c\u1ee7a thang \u0111o<\/a><\/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\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Cong_thuc_tinh_toan_chu_vi_cua_hinh_thang\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n chu vi c\u1ee7a h\u00ecnh thang<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Mot_so_loai_bai_tap_hinh_thang_trong_luong_la_pho_bien\" >M\u1ed9t s\u1ed1 lo\u1ea1i b\u00e0i t\u1eadp h\u00ecnh thang tr\u1ecdng l\u01b0\u1ee3ng l\u00e0 ph\u1ed5 bi\u1ebfn<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Mau_1_Tinh_chu_vi_cua_hinh_thang_khi_biet_chieu_dai_cua_day_va_ben\" >M\u1eabu 1: T\u00ednh chu vi c\u1ee7a h\u00ecnh thang khi bi\u1ebft chi\u1ec1u d\u00e0i c\u1ee7a \u0111\u00e1y v\u00e0 b\u00ean<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Mau_2_Tinh_chieu_dai_ben_cua_hinh_thang_khi_ban_biet_chu_vi\" >M\u1eabu 2: T\u00ednh chi\u1ec1u d\u00e0i b\u00ean c\u1ee7a h\u00ecnh thang khi b\u1ea1n bi\u1ebft chu vi<\/a><\/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\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Mau_3_Tinh_dien_tich_hinh_thang_khi_biet_chieu_dai_cua_hai_day_va_chieu_cao\" >M\u1eabu 3: T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft chi\u1ec1u d\u00e0i c\u1ee7a hai \u0111\u00e1y v\u00e0 chi\u1ec1u cao<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Mau_4_Tinh_chieu_cao_khi_biet_chieu_dai_cua_hai_day_va_khu_vuc_hinh_thang\" >M\u1eabu 4: T\u00ednh chi\u1ec1u cao khi bi\u1ebft chi\u1ec1u d\u00e0i c\u1ee7a hai \u0111\u00e1y v\u00e0 khu v\u1ef1c h\u00ecnh thang<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Mau_5_Tinh_thang_do_cua_hinh_thang_khi_no_khong_duoc_biet_den_voi_chieu_dai_cua_hai_day_va_chieu_cao\" >M\u1eabu 5: T\u00ednh thang \u0111o c\u1ee7a h\u00ecnh thang khi n\u00f3 kh\u00f4ng \u0111\u01b0\u1ee3c bi\u1ebft \u0111\u1ebfn v\u1edbi chi\u1ec1u d\u00e0i c\u1ee7a hai \u0111\u00e1y v\u00e0 chi\u1ec1u cao<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Ap_dung_hinh_thang_trong_thuc_te\" >\u00c1p d\u1ee5ng h\u00ecnh thang trong th\u1ef1c t\u1ebf<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Cac_van_de_lien_quan_den_hinh_thang_trong_sach_giao_khoa_voi_cau_tra_loi\" >C\u00e1c v\u1ea5n \u0111\u1ec1 li\u00ean quan \u0111\u1ebfn h\u00ecnh thang trong s\u00e1ch gi\u00e1o khoa v\u1edbi c\u00e2u tr\u1ea3 l\u1eddi<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Thuc_hanh_cac_bai_tap_de_ren_ky_nang\" >Th\u1ef1c h\u00e0nh c\u00e1c b\u00e0i t\u1eadp \u0111\u1ec3 r\u00e8n k\u1ef9 n\u0103ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Kinh_nghiem_hieu_qua_trong_viec_hoc_toan_hinh_thang\" >Kinh nghi\u1ec7m hi\u1ec7u qu\u1ea3 trong vi\u1ec7c h\u1ecdc to\u00e1n h\u00ecnh thang<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Duoc_trang_bi_nen_tang_va_tinh_yeu_cho_toan_hoc_voi_toan_hoc_khi\" >\u0110\u01b0\u1ee3c trang b\u1ecb n\u1ec1n t\u1ea3ng v\u00e0 t\u00ecnh y\u00eau cho to\u00e1n h\u1ecdc v\u1edbi to\u00e1n h\u1ecdc kh\u1ec9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Hay_nho_cac_cong_thuc_hinh_thang_thong_qua_tho\" >H\u00e3y nh\u1edb c\u00e1c c\u00f4ng th\u1ee9c h\u00ecnh thang th\u00f4ng qua th\u01a1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Thuc_hanh_thuc_hanh_thuong_xuyen\" >Th\u1ef1c h\u00e0nh, th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/www.ckconitsha.com\/vn\/hinh-thang-can-khai-niem-tinh-chat-dau-hieu-nhan-biet-cac-cong-thuc-tinh\/#Ket_luan\" >K\u1ebft lu\u1eadn<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>H\u00ecnh thang l\u00e0 m\u1ed9t trong nh\u1eefng h\u00ecnh h\u1ecdc c\u01a1 b\u1ea3n hi\u1ec7n t\u1ea1i. \u0110\u1ec3 hi\u1ec3u nhi\u1ec1u h\u01a1n nh\u1eefng g\u00ec h\u00ecnh thang, \u0111\u1eb7c \u0111i\u1ec3m, t\u00ednh ch\u1ea5t, d\u1ea5u hi\u1ec7u nh\u1eadn d\u1ea1ng v\u00e0 c\u00f4ng th\u1ee9c chu vi, khu v\u1ef1c, kh\u1ec9 n\u1ed9i dung sau \u0111\u00e2y s\u1ebd ph\u00e2n t\u00edch chi ti\u1ebft.<\/p>\n<p>                        Xem t\u1ea5t c\u1ea3<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Hinh_thang_hinh_thang_la_gi\"><\/span>H\u00ecnh thang h\u00ecnh thang l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">L\u00e0 m\u1ed9t trong nh\u1eefng lo\u1ea1i h\u1ecdc t\u1eadp ph\u1ed5 bi\u1ebfn, h\u00ecnh thang c\u00f3 c\u00e1c t\u00ednh n\u0103ng n\u1ed5i b\u1eadt sau:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Khai_niem_ve_hinh_thang\"><\/span>Kh\u00e1i ni\u1ec7m v\u1ec1 h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">H\u00ecnh thang l\u00e0 m\u1ed9t h\u00ecnh t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t v\u1edbi hai c\u1ea1nh song song (h\u00ecnh thang) v\u00e0 c\u00f3 hai g\u00f3c li\u1ec1n k\u1ec1 v\u1edbi m\u1ed9t c\u1ea1nh d\u01b0\u1edbi b\u1eb1ng nhau.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: ABCD l\u00e0 m\u1ed9t h\u00ecnh thang h\u00ecnh thang (d\u01b0\u1edbi c\u00f9ng AB, CD)  AB \/\/ CD v\u00e0 g\u00f3c C = g\u00f3c D<\/em><\/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\/hinh-thang-can-1.jpg\" alt=\"\u0110\u1eb7c \u0111i\u1ec3m c\u1ee7a h\u00ecnh thang h\u00ecnh thang. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dac_diem_cua_tinh_chat_hinh_thang\"><\/span>\u0110\u1eb7c \u0111i\u1ec3m c\u1ee7a t\u00ednh ch\u1ea5t h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">L\u00e0 m\u1ed9t t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t, h\u00ecnh thang c\u00f3 c\u00e1c thu\u1ed9c t\u00ednh sau:<\/p>\n<ul>\n<li dir=\"ltr\">H\u00ecnh thang c\u00f3 hai m\u1eb7t b\u1eb1ng nhau<\/li>\n<\/ul>\n<p dir=\"ltr\">V\u00ed d\u1ee5: ABCD l\u00e0 h\u00ecnh thang (d\u01b0\u1edbi c\u00f9ng ab, cd) =&gt; ad = bc<\/p>\n<ul>\n<li dir=\"ltr\">H\u00ecnh thang c\u00f3 hai g\u00f3c li\u1ec1n k\u1ec1 c\u1ee7a ph\u00eda d\u01b0\u1edbi b\u1eb1ng nhau<\/li>\n<\/ul>\n<p dir=\"ltr\">V\u00ed d\u1ee5: ABCD l\u00e0 h\u00ecnh thang (d\u01b0\u1edbi c\u00f9ng ab, cd) =&gt; ac = bd<\/p>\n<ul>\n<li dir=\"ltr\">H\u00ecnh thang c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o b\u1eb1ng nhau<\/li>\n<\/ul>\n<p dir=\"ltr\">V\u00ed d\u1ee5: ABCD l\u00e0 h\u00ecnh thang (d\u01b0\u1edbi c\u00f9ng ab, cd) =&gt; g\u00f3c c = g\u00f3c d v\u00e0 g\u00f3c a = g\u00f3c b<\/p>\n<p dir=\"ltr\">Ngo\u00e0i ra, h\u00ecnh thang h\u00ecnh thang \u0111\u01b0\u1ee3c ghi trong m\u1ed9t v\u00f2ng tr\u00f2n c\u00f3 4 \u0111i\u1ec3m thu\u1ed9c v\u1ec1 m\u1ed9t v\u00f2ng tr\u00f2n.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dau_hieu_trong_luong_hinh_thang\"><\/span>D\u1ea5u hi\u1ec7u tr\u1ecdng l\u01b0\u1ee3ng h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh thang c\u00f3 hai g\u00f3c li\u1ec1n k\u1ec1 v\u1edbi m\u1ed9t c\u1ea1nh d\u01b0\u1edbi b\u1eb1ng nhau l\u00e0 tr\u1ecdng l\u01b0\u1ee3ng h\u00ecnh thang.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh thang c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o b\u1eb1ng nhau: tr\u1ecdng l\u01b0\u1ee3ng h\u00ecnh thang.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh thang \u0111\u01b0\u1ee3c ghi l\u00e0 m\u1ed9t h\u00ecnh thang.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: Trong ABCD v\u00e0 EFGH t\u1ee9 gi\u00e1c tr\u00ean t\u1edd gi\u1ea5y vu\u00f4ng trong h\u00ecnh d\u01b0\u1edbi \u0111\u00e2y, h\u00ecnh t\u1ee9 gi\u00e1c n\u00e0o l\u00e0 h\u00ecnh thang? T\u1ea1i sao?<\/em><\/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\/dau-hieu-nhan-biet-hinh-thang-can.jpg\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i ph\u00e1p:<\/em><\/p>\n<p dir=\"ltr\"><em>\u0110\u1ec3 bi\u1ebft h\u00ecnh thang l\u00e0 g\u00ec, ch\u00fang ta s\u1ebd d\u1ef1a v\u00e0o b\u1ea3n ch\u1ea5t c\u1ee7a h\u00ecnh \u1ea3nh \u0111\u1ec3 xem x\u00e9t. C\u1ee5 th\u1ec3, nh\u00ecn v\u00e0o h\u00ecnh \u1ea3nh \u0111\u01b0\u1ee3c v\u1ebd trong h\u00ecnh vu\u00f4ng \u0111\u1ec3 n\u00f3 s\u1ebd d\u1ec5 d\u00e0ng x\u00e1c \u0111\u1ecbnh chi\u1ec1u d\u00e0i c\u1ee7a c\u00e1c c\u1ea1nh.<\/em><\/p>\n<p dir=\"ltr\"><em>Theo \u0111\u00f3: Trong hai h\u00ecnh \u1ea3nh tr\u00ean, ABCD t\u1ee9 gi\u00e1c l\u00e0 h\u00ecnh thang. V\u00ec AD = BC (hai \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a hai h\u00ecnh tam gi\u00e1c c\u00f3 chi\u1ec1u d\u00e0i c\u1ea1nh b\u1eb1ng nhau). V\u00e0 efgh t\u1ee9 gi\u00e1c kh\u00f4ng ph\u1ea3i l\u00e0 h\u00ecnh thang, b\u1edfi v\u00ec ch\u00fang ta nh\u00ecn v\u00e0o 2 c\u1ea1nh ef&gt; gh.<\/em><\/p>\n<p dir=\"ltr\">* L\u01b0u \u00fd: H\u00ecnh thang s\u1ebd c\u00f3 2 c\u1ea1nh b\u1eb1ng nhau, nh\u01b0ng \u0111i\u1ec1u ng\u01b0\u1ee3c l\u1ea1i kh\u00f4ng nh\u1ea5t thi\u1ebft l\u00e0 \u0111\u00fang. V\u00ed d\u1ee5, t\u1ee9 gi\u00e1c c\u00f3 2 c\u1eb7p c\u1ea1nh song song, c\u00f9ng m\u1ed9t b\u00ean b\u1eb1ng nhau nh\u01b0ng n\u00f3 kh\u00f4ng ph\u1ea3i l\u00e0 h\u00ecnh thang. <\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_chung_minh_hinh_thang\"><\/span>C\u00e1ch ch\u1ee9ng minh h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec3 c\u00f3 th\u1ec3 ch\u1ee9ng minh m\u1ed9t h\u00ecnh thang h\u00ecnh thang, ch\u00fang t\u00f4i d\u1ef1a v\u00e0o c\u00e1c \u0111\u1eb7c \u0111i\u1ec3m sau:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u1ee9ng minh r\u1eb1ng h\u00ecnh thang c\u00f3 hai g\u00f3c li\u1ec1n k\u1ec1 v\u1edbi m\u1ed9t \u0111\u00e1y b\u1eb1ng nhau =&gt; h\u00ecnh thang l\u00e0 h\u00ecnh thang.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ch\u1ee9ng minh r\u1eb1ng h\u00ecnh thang c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o b\u1eb1ng nhau =&gt; h\u00ecnh thang l\u00e0 h\u00ecnh thang.<\/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\/hinh-thang-can-2.jpg\" alt=\"\u0110i\u1ec1u quan tr\u1ecdng l\u00e0 ph\u1ea3i bi\u1ebft l\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 ch\u1ee9ng minh h\u00ecnh thang. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_tinh_toan_dien_tich_va_chu_vi_cua_hinh_thang\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch v\u00e0 chu vi c\u1ee7a h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">T\u01b0\u01a1ng t\u1ef1 nh\u01b0 h\u00ecnh h\u1ecdc kh\u00e1c, v\u1edbi tr\u1ecdng l\u01b0\u1ee3ng h\u00ecnh thang c\u0169ng s\u1ebd c\u00f3 c\u00e1c c\u00f4ng th\u1ee9c sau \u0111\u00e2y c\u1ee7a chu vi v\u00e0 khu v\u1ef1c c\u01a1 b\u1ea3n:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_tinh_toan_quy_mo_cua_thang_do\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n quy m\u00f4 c\u1ee7a thang \u0111o<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang c\u0169ng s\u1ebd \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng l\u00e0m c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang th\u00f4ng th\u01b0\u1eddng, s\u1ebd b\u1eb1ng chi\u1ec1u cao nh\u00e2n v\u1edbi trung b\u00ecnh c\u1ee7a hai \u0111\u00e1y.<\/p>\n<p dir=\"ltr\">* L\u01b0u \u00fd: Chi\u1ec1u cao \u1edf \u0111\u00e2y l\u00e0 b\u00ean vu\u00f4ng g\u00f3c v\u1edbi c\u1ea3 hai \u0111\u00e1y.<\/p>\n<table style=\"border-collapse: collapse;width: 100%\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%;text-align: center\">C\u00f4ng th\u1ee9c: S = (A + B)\/2 XH<\/td>\n<\/tr>\n<\/table>\n<p dir=\"ltr\">Trong \u0111\u00f3:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S l\u00e0 khu v\u1ef1c h\u00ecnh thang.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">A v\u00e0 B l\u00e0 chi\u1ec1u d\u00e0i c\u1ee7a 2 c\u1ea1nh.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H l\u00e0 chi\u1ec1u d\u00e0i c\u1ea1nh vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y.<\/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\/hinh-thang-can-3.jpg\" alt=\"C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang t\u01b0\u01a1ng t\u1ef1 nh\u01b0 h\u00ecnh thang. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_tinh_toan_chu_vi_cua_hinh_thang\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n chu vi c\u1ee7a h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">V\u00ed d\u1ee5, \u0111\u1ed1i v\u1edbi ABCD h\u00ecnh thang c\u00e2n v\u1edbi chi\u1ec1u d\u00e0i c\u1ee7a 2 c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng v\u1edbi A v\u00e0 B, chi\u1ec1u d\u00e0i b\u00ean l\u00e0 c. T\u1ea1i th\u1eddi \u0111i\u1ec3m n\u00e0y, c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n chu vi c\u1ee7a ABCD h\u00ecnh thang s\u1ebd l\u00e0:<\/p>\n<table style=\"border-collapse: collapse;width: 100%\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%;text-align: center\">P = a + b + 2c<\/td>\n<\/tr>\n<\/table>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mot_so_loai_bai_tap_hinh_thang_trong_luong_la_pho_bien\"><\/span>M\u1ed9t s\u1ed1 lo\u1ea1i b\u00e0i t\u1eadp h\u00ecnh thang tr\u1ecdng l\u01b0\u1ee3ng l\u00e0 ph\u1ed5 bi\u1ebfn<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Khi b\u1ea1n l\u1ea7n \u0111\u1ea7u ti\u00ean l\u00e0m quen v\u1edbi ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 tr\u1ecdng l\u01b0\u1ee3ng h\u00ecnh thang, b\u1ea1n s\u1ebd th\u01b0\u1eddng g\u1eb7p m\u1ed9t s\u1ed1 h\u00ecnh th\u1ee9c to\u00e1n h\u1ecdc quen thu\u1ed9c sau \u0111\u00e2y:<\/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\/hinh-thang-can-4.jpg\" alt=\"C\u00f3 nhi\u1ec1u lo\u1ea1i b\u00e0i t\u1eadp li\u00ean quan \u0111\u1ebfn c\u00e2n n\u1eb7ng h\u00ecnh thang. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_1_Tinh_chu_vi_cua_hinh_thang_khi_biet_chieu_dai_cua_day_va_ben\"><\/span>M\u1eabu 1: T\u00ednh chu vi c\u1ee7a h\u00ecnh thang khi bi\u1ebft chi\u1ec1u d\u00e0i c\u1ee7a \u0111\u00e1y v\u00e0 b\u00ean<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5, cho tr\u1ecdng l\u01b0\u1ee3ng ABCD h\u00ecnh thang, bi\u1ebft \u0111\u00e1y l\u1edbn b\u1eb1ng 12 cm; \u0110\u00e1y nh\u1ecf l\u00e0 10 cm v\u00e0 hai c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng l\u00e0 7 cm v\u00e0 8 cm. T\u00ednh chu vi c\u1ee7a h\u00ecnh thang ABCD.<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i ph\u00e1p:<\/em><\/p>\n<p dir=\"ltr\"><em>Chu vi c\u1ee7a ABCD h\u00ecnh thang c\u00e2n l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>12 + 10 + 7 + 8 = 37 (cm)<\/em><\/p>\n<p dir=\"ltr\"><em>Tr\u1ea3 l\u1eddi: 37cm<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_2_Tinh_chieu_dai_ben_cua_hinh_thang_khi_ban_biet_chu_vi\"><\/span>M\u1eabu 2: T\u00ednh chi\u1ec1u d\u00e0i b\u00ean c\u1ee7a h\u00ecnh thang khi b\u1ea1n bi\u1ebft chu vi<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5, \u0111\u1ed1i v\u1edbi ABCD h\u00ecnh thang c\u00e2n v\u1edbi hai b\u00ean b\u1eb1ng nhau bi\u1ebft chu vi c\u1ee7a h\u00ecnh thang l\u00e0 68cm v\u00e0 chi\u1ec1u d\u00e0i c\u1ee7a hai c\u1ea1nh d\u01b0\u1edbi l\u00e0 20cm v\u00e0 26cm t\u01b0\u01a1ng \u1ee9ng. T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ee7a c\u00e2n ABCD h\u00ecnh thang.<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i ph\u00e1p:<\/em><\/p>\n<p dir=\"ltr\"><em>T\u1ed5ng chi\u1ec1u d\u00e0i c\u1ee7a hai c\u1ea1nh c\u1ee7a ABCD h\u00ecnh thang l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>68 &#8211; 20 &#8211; 26 = 22 (cm)<\/em><\/p>\n<p dir=\"ltr\"><em>\u0110\u1ed9 d\u00e0i b\u00ean c\u1ee7a h\u00ecnh thang l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>22: 2 = 11 (cm)<\/em><\/p>\n<p dir=\"ltr\"><em>Tr\u1ea3 l\u1eddi: 11cm<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_3_Tinh_dien_tich_hinh_thang_khi_biet_chieu_dai_cua_hai_day_va_chieu_cao\"><\/span>M\u1eabu 3: T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang khi bi\u1ebft chi\u1ec1u d\u00e0i c\u1ee7a hai \u0111\u00e1y v\u00e0 chi\u1ec1u cao<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5, \u0111\u1ed1i v\u1edbi c\u00e2n n\u1eb7ng ABCD h\u00ecnh thang, bi\u1ebft \u0111\u1ed9 d\u00e0i \u0111\u00e1y nh\u1ecf l\u00e0 5cm, \u0111\u00e1y l\u00e0 10cm. Chi\u1ec1u cao c\u1ee7a h\u00ecnh thang l\u00e0 6cm. T\u00ednh di\u1ec7n t\u00edch c\u1ee7a ABCD h\u00ecnh thang.<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i ph\u00e1p:<\/em><\/p>\n<p dir=\"ltr\"><em>Khu v\u1ef1c c\u1ee7a h\u00ecnh thang ABCD l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>(5 + 10) x 6: 2 = 45 (cm2)<\/em><\/p>\n<p dir=\"ltr\"><em>Tr\u1ea3 l\u1eddi: 45cm2<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_4_Tinh_chieu_cao_khi_biet_chieu_dai_cua_hai_day_va_khu_vuc_hinh_thang\"><\/span>M\u1eabu 4: T\u00ednh chi\u1ec1u cao khi bi\u1ebft chi\u1ec1u d\u00e0i c\u1ee7a hai \u0111\u00e1y v\u00e0 khu v\u1ef1c h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5, \u0111\u1ed1i v\u1edbi ABCD h\u00ecnh thang v\u1edbi di\u1ec7n t\u00edch 14dm2, \u0111\u00e1y nh\u1ecf 2dM v\u00e0 \u0111\u00e1y l\u1edbn b\u1eb1ng 5dM. T\u00ednh chi\u1ec1u d\u00e0i c\u1ee7a h\u00ecnh thang \u0111\u00f3.<\/em><\/p>\n<p dir=\"ltr\"><em>T\u1eeb c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang, ch\u00fang t\u00f4i t\u00ecm c\u00e1ch t\u00ednh chi\u1ec1u cao c\u1ee7a h\u00ecnh \u1ea3nh t\u01b0\u01a1ng \u1ee9ng b\u1eb1ng c\u00e1ch l\u1ea5y khu v\u1ef1c chia cho trung b\u00ecnh c\u1ee7a hai \u0111\u00e1y. T\u01b0\u01a1ng \u1ee9ng v\u1edbi H = SX 2: (A + B)<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i ph\u00e1p:<\/em><\/p>\n<p dir=\"ltr\"><em>Chi\u1ec1u d\u00e0i chi\u1ec1u cao c\u1ee7a h\u00ecnh thang l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>14 x 2: (2 + 5) = 4 (DM)<\/em><\/p>\n<p dir=\"ltr\"><em>Tr\u1ea3 l\u1eddi: 4dm<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Mau_5_Tinh_thang_do_cua_hinh_thang_khi_no_khong_duoc_biet_den_voi_chieu_dai_cua_hai_day_va_chieu_cao\"><\/span>M\u1eabu 5: T\u00ednh thang \u0111o c\u1ee7a h\u00ecnh thang khi n\u00f3 kh\u00f4ng \u0111\u01b0\u1ee3c bi\u1ebft \u0111\u1ebfn v\u1edbi chi\u1ec1u d\u00e0i c\u1ee7a hai \u0111\u00e1y v\u00e0 chi\u1ec1u cao<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: cho ABCD h\u00ecnh thang c\u00e2n chi\u1ec1u cao 56cm. \u0110\u00e1y l\u1edbn h\u01a1n 24cm so v\u1edbi \u0111\u00e1y nh\u1ecf v\u00e0 \u0111\u00e1y nh\u1ecf l\u00e0 2\/5 c\u1ee7a \u0111\u00e1y l\u1edbn. T\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang ABCD.<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i ph\u00e1p:<\/em><\/p>\n<p dir=\"ltr\"><em>S\u1ef1 kh\u00e1c bi\u1ec7t kh\u00e1c nhau b\u1eb1ng nhau l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>5 &#8211; 2 = 3 (m\u1ed9t ph\u1ea7n)<\/em><\/p>\n<p dir=\"ltr\"><em>Chi\u1ec1u d\u00e0i \u0111\u00e1y l\u1edbn l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>24: 3 x 5 = 40 (cm)<\/em><\/p>\n<p dir=\"ltr\"><em>Chi\u1ec1u d\u00e0i \u0111\u00e1y c\u1ee7a em b\u00e9 l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>40 &#8211; 24 = 16 (cm)<\/em><\/p>\n<p dir=\"ltr\"><em>Khu v\u1ef1c h\u00ecnh thang l\u00e0:<\/em><\/p>\n<p dir=\"ltr\"><em>(16 + 40) x 56: 2 = 1568 (cm2)<\/em><\/p>\n<p dir=\"ltr\"><em>Tr\u1ea3 l\u1eddi: 1568cm2<\/em><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ap_dung_hinh_thang_trong_thuc_te\"><\/span>\u00c1p d\u1ee5ng h\u00ecnh thang trong th\u1ef1c t\u1ebf<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">H\u00ecnh thang l\u00e0 m\u1ed9t h\u00ecnh h\u1ecdc quen thu\u1ed9c v\u00e0 ph\u1ed5 bi\u1ebfn. Ngo\u00e0i vi\u1ec7c \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong to\u00e1n h\u1ecdc, n\u00f3 c\u00f2n \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng l\u00e0m \u0111\u1ed3 ch\u01a1i cho tr\u1ebb em c\u00f3 h\u00ecnh d\u1ea1ng t\u01b0\u01a1ng \u1ee9ng, ho\u1eb7c c\u00e1c m\u00f4 h\u00ecnh nh\u1ef1a \u0111\u1ec3 h\u1ecdc v\u00e0 vui ch\u01a1i, c\u00e1c d\u1ee5ng c\u1ee5 nh\u01b0 b\u00e0n v\u00e0 gh\u1ebf, gi\u00e1 s\u00e1ch &#8230;<\/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\/hinh-thang-can-5.jpg\" alt=\"M\u1ed9t s\u1ed1 \u1ee9ng d\u1ee5ng c\u1ee7a h\u00ecnh thang h\u00ecnh thang c\u01a1 b\u1ea3n. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_van_de_lien_quan_den_hinh_thang_trong_sach_giao_khoa_voi_cau_tra_loi\"><\/span>C\u00e1c v\u1ea5n \u0111\u1ec1 li\u00ean quan \u0111\u1ebfn h\u00ecnh thang trong s\u00e1ch gi\u00e1o khoa v\u1edbi c\u00e2u tr\u1ea3 l\u1eddi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 bi\u1ebft ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 h\u00ecnh thang h\u00ecnh thang, h\u1ecd th\u01b0\u1eddng s\u1ebd b\u1eaft \u0111\u1ea7u h\u1ecdc t\u1eeb ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n l\u1edbp 8. V\u00ec v\u1eady, b\u00ean d\u01b0\u1edbi kh\u1ec9 s\u1ebd t\u00f3m t\u1eaft m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp to\u00e1n trong s\u00e1ch gi\u00e1o khoa to\u00e1n l\u1edbp 8 tr\u00ean h\u00ecnh thang v\u1edbi c\u00e1c c\u00e2u tr\u1ea3 l\u1eddi cho t\u00e0i li\u1ec7u tham kh\u1ea3o:<\/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\/bai-tap-hinh-thang-can-sgk.jpg\" alt=\"(Ngu\u1ed3n: T\u00f3m t\u1eaft)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Thuc_hanh_cac_bai_tap_de_ren_ky_nang\"><\/span>Th\u1ef1c h\u00e0nh c\u00e1c b\u00e0i t\u1eadp \u0111\u1ec3 r\u00e8n k\u1ef9 n\u0103ng<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Ngo\u00e0i c\u00e1c b\u00e0i t\u1eadp trong s\u00e1ch gi\u00e1o khoa, Kh\u1ec9 s\u1ebd t\u00f3m t\u1eaft m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp h\u00ecnh thang \u0111\u1ec3 ch\u00fang c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng ki\u1ebfn \u200b\u200bth\u1ee9c \u0111\u00e3 h\u1ecdc \u0111\u1ec3 chinh ph\u1ee5c hi\u1ec7u qu\u1ea3:<\/p>\n<p><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/bai-tap-hinh-thang-can-van-dung.jpg\" alt=\"(Ngu\u1ed3n: T\u00f3m t\u1eaft)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Kinh_nghiem_hieu_qua_trong_viec_hoc_toan_hinh_thang\"><\/span>Kinh nghi\u1ec7m hi\u1ec7u qu\u1ea3 trong vi\u1ec7c h\u1ecdc to\u00e1n h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 gi\u00fap h\u1ecdc sinh h\u1ecdc h\u1ecfi v\u00e0 d\u1ec5 d\u00e0ng chinh ph\u1ee5c c\u00e1c b\u00e0i t\u1eadp h\u00ecnh thang, \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 b\u00ed m\u1eadt m\u00e0 kh\u1ec9 t\u00f3m t\u1eaft \u0111\u1ec3 tr\u1ebb em tham kh\u1ea3o th\u00eam.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Duoc_trang_bi_nen_tang_va_tinh_yeu_cho_toan_hoc_voi_toan_hoc_khi\"><\/span>\u0110\u01b0\u1ee3c trang b\u1ecb n\u1ec1n t\u1ea3ng v\u00e0 t\u00ecnh y\u00eau cho to\u00e1n h\u1ecdc v\u1edbi to\u00e1n h\u1ecdc kh\u1ec9<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math l\u00e0 m\u1ed9t \u1ee9ng d\u1ee5ng gi\u1ea3ng d\u1ea1y to\u00e1n tr\u1ef1c tuy\u1ebfn cho tr\u1ebb em \u0111\u01b0\u1ee3c nhi\u1ec1u ph\u1ee5 huynh tin t\u01b0\u1edfng ng\u00e0y nay, v\u1edbi vi\u1ec7c gi\u1ea3ng d\u1ea1y n\u1ed9i dung ch\u1eb7t ch\u1ebd theo ch\u01b0\u01a1ng tr\u00ecnh GDPT m\u1edbi nh\u1ea5t c\u1ee7a B\u1ed9, v\u00ec v\u1eady kh\u00f4ng ch\u1ec9 n\u1ec1n t\u1ea3ng to\u00e1n h\u1ecdc trong cu\u1ed9c s\u1ed1ng m\u00e0 c\u00f2n h\u1ed7 tr\u1ee3 nghi\u00ean c\u1ee9u l\u1edbp t\u1ed1t nh\u1ea5t.<\/p>\n<p dir=\"ltr\">Do \u0111\u00f3, to\u00e1n h\u1ecdc kh\u1ec9 s\u1ebd kh\u00f4ng d\u1ea1y theo h\u01b0\u1edbng truy\u1ec1n \u0111\u1ea1t ki\u1ebfn \u200b\u200bth\u1ee9c nh\u01b0 truy\u1ec1n th\u1ed1ng. Thay v\u00e0o \u0111\u00f3, \u1ee9ng d\u1ee5ng s\u1ebd \u00e1p d\u1ee5ng m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3ng d\u1ea1y \u0111a ph\u01b0\u01a1ng ti\u1ec7n th\u00f4ng qua c\u00e1c tr\u00f2 ch\u01a1i, c\u00e1c b\u00e0i t\u1eadp b\u1ed5 sung, c\u00e1c ho\u1ea1t \u0111\u1ed9ng to\u00e1n h\u1ecdc &#8230; k\u1ebft h\u1ee3p v\u1edbi \u00e2m thanh s\u1ed1ng \u0111\u1ed9ng, h\u00ecnh \u1ea3nh \u0111\u1ed3 h\u1ecda s\u1ed1ng \u0111\u1ed9ng \u0111\u1ec3 t\u0103ng kh\u1ea3 n\u0103ng ti\u1ebfp thu v\u00e0 quan t\u00e2m nhi\u1ec1u h\u01a1n khi tr\u1ebb h\u1ecdc to\u00e1n nhi\u1ec1u 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\/hinh-thang-can-6.jpg\" alt=\". (\u1ea2nh: Kh\u1ec9)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">\u0110\u1ed3ng th\u1eddi, n\u1ed9i dung b\u00e0i h\u1ecdc tr\u00ean \u1ee9ng d\u1ee5ng r\u1ea5t \u0111a d\u1ea1ng v\u1edbi nhi\u1ec1u ch\u1ee7 \u0111\u1ec1 v\u1ec1 nhi\u1ec1u ch\u1ee7 \u0111\u1ec1 t\u1eeb \u0111\u1ea1i s\u1ed1 \u0111\u1ebfn h\u00ecnh h\u1ecdc, bao g\u1ed3m ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 c\u00e2n n\u1eb7ng h\u00ecnh thang. T\u1ea5t c\u1ea3 \u0111\u01b0\u1ee3c s\u1eafp x\u1ebfp v\u00e0 c\u00e1 nh\u00e2n h\u00f3a b\u1edfi m\u1ed7i \u0111\u1ed1i t\u01b0\u1ee3ng, \u0111\u01b0\u1ee3c chia th\u00e0nh c\u00e1c c\u1ea5p \u0111\u1ed9 t\u1eeb d\u1ec5 d\u00e0ng \u0111\u1ebfn kh\u00f3 kh\u0103n \u0111\u1ec3 cha m\u1eb9 c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng ch\u1ecdn b\u00e0i h\u1ecdc ph\u00f9 h\u1ee3p v\u1edbi kh\u1ea3 n\u0103ng c\u1ee7a h\u1ecd.<\/p>\n<p dir=\"ltr\">\u0110\u1ec3 hi\u1ec3u r\u00f5 h\u01a1n c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3ng d\u1ea1y t\u1ea1i Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math, ph\u1ee5 huynh c\u00f3 th\u1ec3 tham kh\u1ea3o video sau ho\u1eb7c \u0111\u0103ng k\u00fd \u0111\u1ec3 \u0111\u01b0\u1ee3c t\u01b0 v\u1ea5n chu \u0111\u00e1o:<\/p>\n<p dir=\"ltr\" style=\"text-align: center\"> <a href=\"https:\/\/www.youtube.com\/watch?v=7DSJPVHFROS\" target=\"_blank\" rel=\"noopener\">https:\/\/www.youtube.com\/watch?v=7DSJPVHFROS<\/a><\/p>\n<p dir=\"ltr\" 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\/timhieungay.png\" alt=\"\" width=\"200\" height=\"41\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Hay_nho_cac_cong_thuc_hinh_thang_thong_qua_tho\"><\/span>H\u00e3y nh\u1edb c\u00e1c c\u00f4ng th\u1ee9c h\u00ecnh thang th\u00f4ng qua th\u01a1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ed1i v\u1edbi tr\u1ebb em, nh\u1edb b\u00e0i th\u01a1 ho\u1eb7c b\u00e0i h\u00e1t th\u01b0\u1eddng s\u1ebd d\u1ec5 d\u00e0ng h\u01a1n m\u1ed9t \u0111o\u1ea1n v\u0103n. Do \u0111\u00f3, \u0111\u1ec3 l\u00e0m cho t\u00ednh to\u00e1n d\u1ec5 nh\u1edb h\u01a1n, d\u1ec5 hi\u1ec3u h\u01a1n, cha m\u1eb9 c\u00f3 th\u1ec3 t\u1ea1o ho\u1eb7c thu th\u1eadp c\u00e1c b\u00e0i th\u01a1 li\u00ean quan \u0111\u1ebfn c\u00e1c c\u00f4ng th\u1ee9c c\u1ee7a c\u00e2n n\u1eb7ng h\u00ecnh thang. Ch\u1eb3ng h\u1ea1n nh\u01b0:<\/p>\n<p dir=\"ltr\" style=\"text-align: center\"><em>\u201cMu\u1ed1n t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang<\/em><\/p>\n<p dir=\"ltr\" style=\"text-align: center\"><em>\u0110\u00e1y l\u1edbn, \u0111\u00e1y nh\u1ecf ch\u00fang t\u00f4i mang v\u00e0o<\/em><\/p>\n<p dir=\"ltr\" style=\"text-align: center\"><em>Th\u00eam v\u00e0o ph\u00e9p nh\u00e2n v\u1edbi chi\u1ec1u cao<\/em><\/p>\n<p dir=\"ltr\" style=\"text-align: center\"><em>Chia k\u1ebft qu\u1ea3 l\u00e0 t\u1ed1t. &#8220;<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Thuc_hanh_thuc_hanh_thuong_xuyen\"><\/span>Th\u1ef1c h\u00e0nh, th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec3 ng\u0103n ch\u1eb7n tr\u01b0\u1eddng h\u1ee3p &#8220;h\u1ecdc tr\u01b0\u1edbc v\u00e0 sau&#8221;, cha m\u1eb9 n\u00ean khuy\u1ebfn kh\u00edch v\u00e0 y\u00eau c\u1ea7u h\u1ecd th\u1ef1c h\u00e0nh v\u00e0 th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean. T\u1eeb vi\u1ec7c l\u00e0m b\u00e0i t\u1eadp v\u1ec1 nh\u00e0 trong s\u00e1ch gi\u00e1o khoa, h\u00e3y tham kh\u1ea3o th\u00eam ki\u1ebfn \u200b\u200bth\u1ee9c m\u1edbi tr\u00ean internet, th\u1ef1c h\u00e0nh c\u00e1c c\u00e2u h\u1ecfi thi, t\u1ed5 ch\u1ee9c c\u00e1c tr\u00f2 ch\u01a1i ho\u1eb7c c\u00e1c cu\u1ed9c thi nh\u1ecf v\u1ec1 to\u00e1n h\u1ecdc &#8230;<\/p>\n<p dir=\"ltr\">Ngo\u00e0i ra, cha m\u1eb9 c\u0169ng n\u00ean th\u01b0\u1eddng xuy\u00ean ki\u1ec3m tra ki\u1ebfn \u200b\u200bth\u1ee9c c\u1ee7a con c\u00e1i h\u1ecd, \u0111\u1ec3 bi\u1ebft con c\u00e1i c\u1ee7a h\u1ecd c\u00f3 g\u1eb7p kh\u00f3 kh\u0103n n\u00e0o kh\u00f4ng, h\u1ecd c\u00f3 c\u1ea7n h\u1ed7 tr\u1ee3 kh\u00f4ng?<\/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\/hinh-thang-can-7.jpg\" alt=\"\u0110\u00e0o t\u1ea1o th\u01b0\u1eddng xuy\u00ean l\u00e0 r\u1ea5t quan tr\u1ecdng. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ket_luan\"><\/span>K\u1ebft lu\u1eadn<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Tr\u00ean \u0111\u00e2y l\u00e0 ki\u1ebfn \u200b\u200bth\u1ee9c c\u01a1 b\u1ea3n v\u1ec1 h\u00ecnh thang h\u00ecnh thang, m\u1ed9t h\u00ecnh h\u1ecdc \u0111\u1eb7c bi\u1ec7t th\u01b0\u1eddng s\u1ebd xu\u1ea5t hi\u1ec7n trong th\u1eed nghi\u1ec7m m\u00e0 h\u1ecd c\u1ea7n hi\u1ec3u. N\u1ebfu cha m\u1eb9 kh\u00f4ng c\u00f3 nhi\u1ec1u th\u1eddi gian v\u00e0 kinh nghi\u1ec7m trong vi\u1ec7c d\u1ea1y tr\u1ebb h\u1ecdc to\u00e1n, ch\u00fang c\u00f3 th\u1ec3 tham kh\u1ea3o \u1ee9ng d\u1ee5ng to\u00e1n h\u1ecdc kh\u1ec9 \u0111\u1ec3 h\u1ed7 tr\u1ee3 x\u00e2y d\u1ef1ng m\u1ed9t n\u1ec1n t\u1ea3ng to\u00e1n h\u1ecdc t\u1ed1t h\u01a1n cho tr\u1ebb em.<\/p>\n<p>Ngu\u1ed3n: <a href=\"https:\/\/www.ckconitsha.com\/vn\/\">https:\/\/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>H\u00ecnh thang l\u00e0 m\u1ed9t trong nh\u1eefng h\u00ecnh h\u1ecdc c\u01a1 b\u1ea3n hi\u1ec7n t\u1ea1i. \u0110\u1ec3 hi\u1ec3u nhi\u1ec1u h\u01a1n nh\u1eefng g\u00ec h\u00ecnh thang, \u0111\u1eb7c \u0111i\u1ec3m, t\u00ednh ch\u1ea5t, d\u1ea5u hi\u1ec7u nh\u1eadn d\u1ea1ng v\u00e0 c\u00f4ng th\u1ee9c chu vi, khu v\u1ef1c, kh\u1ec9 n\u1ed9i dung sau \u0111\u00e2y s\u1ebd ph\u00e2n t\u00edch chi ti\u1ebft. Xem t\u1ea5t c\u1ea3 H\u00ecnh thang h\u00ecnh thang l\u00e0 g\u00ec? L\u00e0&#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-14355","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14355","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=14355"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14355\/revisions"}],"predecessor-version":[{"id":17389,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14355\/revisions\/17389"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=14355"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=14355"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=14355"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}