{"id":14349,"date":"2025-06-08T01:13:04","date_gmt":"2025-06-07T18:13:04","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=14349"},"modified":"2025-07-04T16:45:04","modified_gmt":"2025-07-04T09:45:04","slug":"cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/","title":{"rendered":"C\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang &amp; b\u00e0i t\u1eadp th\u1ef1c h\u00e0nh k\u00e8m \u0111\u00e1p \u00e1n chi ti\u1ebft"},"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-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Gioi_thieu_ve_khu_vuc_hinh_thang\" >Gi\u1edbi thi\u1ec7u v\u1ec1 khu v\u1ef1c h\u00ecnh thang<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Cong_thuc_tinh_toan_dien_tich_hinh_thang\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch 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-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Cong_thuc_tinh_toan_dien_tich_hinh_thang-2\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch 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\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#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-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Cong_thuc_tinh_toan_dien_tich_hinh_thang_vuong\" >C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng<\/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\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Huong_dan_ve_cach_tinh_dien_tich_hinh_thang\" >H\u01b0\u1edbng d\u1eabn v\u1ec1 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch 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\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Cac_buoc_de_tinh_dien_tich_co_chieu_cao_va_chieu_dai_2_mat\" >C\u00e1c b\u01b0\u1edbc \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch c\u00f3 chi\u1ec1u cao v\u00e0 chi\u1ec1u d\u00e0i 2 m\u1eb7t<\/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\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Tinh_dien_tich_hinh_thang_neu_ban_biet_chieu_dai_cua_ben\" >T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang n\u1ebfu b\u1ea1n bi\u1ebft chi\u1ec1u d\u00e0i c\u1ee7a b\u00ean<\/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\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Thuc_hanh_cac_bai_tap_de_ren_ky_nang_tinh_toan_khu_vuc_hinh_thang\" >Th\u1ef1c h\u00e0nh c\u00e1c b\u00e0i t\u1eadp \u0111\u1ec3 r\u00e8n k\u1ef9 n\u0103ng t\u00ednh to\u00e1n khu v\u1ef1c 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-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Tap_Tyme_khu_vuc_voi_cac_giai_phap\" >T\u1eadp Tyme khu v\u1ef1c v\u1edbi c\u00e1c gi\u1ea3i ph\u00e1p<\/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\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Vung_hinh_thang_khong_co_giai_phap\" >V\u00f9ng h\u00ecnh thang kh\u00f4ng c\u00f3 gi\u1ea3i ph\u00e1p<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Kinh_nghiem_hoc_tap_hieu_qua_o_khu_vuc_hinh_thang\" >Kinh nghi\u1ec7m h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3 \u1edf khu v\u1ef1c h\u00ecnh thang<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/cach-tinh-dien-tich-hinh-thang-bai-tap-thuc-hanh-kem-dap-an-chi-tiet\/#Ket_luan\" >K\u1ebft lu\u1eadn<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>Khu v\u1ef1c h\u00ecnh thang l\u00e0 m\u1ed9t v\u1ea5n \u0111\u1ec1 kh\u00f4ng ch\u1ec9 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong to\u00e1n h\u1ecdc, m\u00e0 ngay c\u1ea3 trong th\u1ef1c t\u1ebf c\u0169ng c\u00f3 nhi\u1ec1u li\u00ean quan. V\u00ec v\u1eady, \u0111\u1ec3 bi\u1ebft c\u00e1ch t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang chi ti\u1ebft, b\u00e0i vi\u1ebft sau \u0111\u00e2y c\u1ee7a kh\u1ec9 s\u1ebd tr\u1ea3 l\u1eddi.<\/p>\n<p>                        Xem t\u1ea5t c\u1ea3<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Gioi_thieu_ve_khu_vuc_hinh_thang\"><\/span>Gi\u1edbi thi\u1ec7u v\u1ec1 khu v\u1ef1c h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">H\u00ecnh thang l\u00e0 m\u1ed9t trong nh\u1eefng lo\u1ea1i h\u1ecdc t\u1eadp ph\u1ed5 bi\u1ebfn, m\u1ed9t h\u00ecnh t\u1ee9 gi\u00e1c l\u1ed3i v\u1edbi hai c\u1ea1nh song song l\u00e0 c\u00e1c c\u1ea1nh d\u01b0\u1edbi, trong khi 2 c\u1ea1nh c\u00f2n l\u1ea1i l\u00e0 hai c\u1ea1nh.<\/p>\n<p dir=\"ltr\">V\u00e0 khu v\u1ef1c h\u00ecnh thang l\u00e0 to\u00e0n b\u1ed9 m\u1eb7t ph\u1eb3ng c\u1ee7a 4 m\u1eb7t m\u00e0 m\u1ecdi ng\u01b0\u1eddi c\u00f3 th\u1ec3 nh\u00ecn th\u1ea5y.<\/p>\n<p dir=\"ltr\">C\u1ee5 th\u1ec3, h\u00ecnh thang \u0111\u01b0\u1ee3c chia th\u00e0nh nhi\u1ec1u lo\u1ea1i kh\u00e1c nhau nh\u01b0:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh thang l\u00e0 m\u1ed9t h\u00ecnh thang v\u1edbi m\u1ed9t g\u00f3c vu\u00f4ng.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh thang l\u00e0 m\u1ed9t h\u00ecnh thang v\u1edbi hai g\u00f3c li\u1ec1n k\u1ec1 v\u1edbi m\u1ed9t \u0111\u00e1y b\u1eb1ng nhau.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 m\u1ed9t h\u00ecnh thang v\u1edbi hai c\u1ea1nh d\u01b0\u1edbi b\u1eb1ng v\u00e0 2 c\u1ea1nh song song v\u00e0 b\u1eb1ng nhau.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H\u00ecnh ch\u1eef nh\u1eadt l\u00e0 m\u1ed9t h\u00ecnh thang v\u1eeba l\u00e0 h\u00ecnh vu\u00f4ng v\u00e0 c\u00e2n.<\/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\/dien-tich-hinh-thang-1.jpg\" alt=\"C\u00e1c t\u00ednh n\u0103ng c\u1ee7a 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_hinh_thang\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">V\u00f9ng h\u00ecnh thang \u0111\u01b0\u1ee3c t\u00ednh theo t\u1ed5ng chi\u1ec1u d\u00e0i c\u1ee7a hai c\u01a1 s\u1edf v\u1edbi chi\u1ec1u cao v\u00e0 sau \u0111\u00f3 chia cho 2. L\u01b0u \u00fd, c\u00e1c tham s\u1ed1 ph\u1ea3i l\u00e0 c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb.<\/p>\n<p dir=\"ltr\">Ngo\u00e0i ra, v\u1edbi vi\u1ec7c t\u00ednh to\u00e1n di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang s\u1ebd \u0111\u01b0\u1ee3c chia th\u00e0nh c\u00e1c lo\u1ea1i sau:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_tinh_toan_dien_tich_hinh_thang-2\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"border-collapse: collapse;width: 100%\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%;text-align: center\">S = HX ((A + B)\/2)<\/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: Khu v\u1ef1c h\u00ecnh thang.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H: Chi\u1ec1u cao k\u1ebft n\u1ed1i t\u1eeb tr\u00ean c\u00f9ng v\u1edbi \u0111\u00e1y c\u1ee7a h\u00ecnh thang.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">A v\u00e0 B: Ph\u1ea7n d\u01b0\u1edbi c\u1ee7a 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\/dien-tich-hinh-thang-2.jpg\" alt=\"C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch 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_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\">H\u00ecnh thang l\u00e0 h\u00ecnh thang v\u1edbi 2 g\u00f3c li\u1ec1n k\u1ec1 v\u1edbi 1 \u0111\u00e1y b\u1eb1ng nhau, c\u00f9ng 2 c\u1ea1nh b\u1eb1ng nhau v\u00e0 th\u01b0\u1eddng kh\u00f4ng song song v\u1edbi nhau.<\/p>\n<p dir=\"ltr\">D\u1ef1a tr\u00ean c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang chung, ch\u00fang ta c\u00f3 th\u1ec3 ph\u00e2n chia t\u1eebng ph\u1ea7n trong h\u00ecnh \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch v\u00e0 sau \u0111\u00f3 k\u1ebft h\u1ee3p v\u1edbi nhau.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cong_thuc_tinh_toan_dien_tich_hinh_thang_vuong\"><\/span>C\u00f4ng th\u1ee9c t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">H\u00ecnh thang l\u00e0 m\u1ed9t h\u00ecnh thang v\u1edbi m\u1ed9t g\u00f3c vu\u00f4ng v\u00e0 b\u00ean th\u01b0\u1eddng vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y (chi\u1ec1u cao h).<\/p>\n<p dir=\"ltr\">Theo \u0111\u00f3, ph\u01b0\u01a1ng ph\u00e1p t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang vu\u00f4ng \u0111\u01b0\u1ee3c t\u00ednh theo m\u1ee9c trung b\u00ecnh c\u1ed9ng v\u1edbi hai c\u1ea1nh v\u00e0 nh\u00e2n v\u1edbi chi\u1ec1u cao gi\u1eefa hai \u0111\u00e1y (chi\u1ec1u cao l\u00e0 b\u00ean vu\u00f4ng g\u00f3c v\u1edbi 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\">S = 1\u20442 h (a + b)<\/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: Khu v\u1ef1c h\u00ecnh thang.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">H: Chi\u1ec1u d\u00e0i c\u1ea1nh vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">A v\u00e0 B: Chi\u1ec1u d\u00e0i c\u1ee7a \u0111\u00e1y h\u00ecnh thang.<\/p>\n<\/li>\n<\/ul>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Huong_dan_ve_cach_tinh_dien_tich_hinh_thang\"><\/span>H\u01b0\u1edbng d\u1eabn v\u1ec1 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ed1i v\u1edbi khu v\u1ef1c c\u1ee7a h\u00ecnh thang, ch\u00fang ta c\u00f3 th\u1ec3 l\u00e0m theo c\u00e1c h\u01b0\u1edbng d\u1eabn sau:         <\/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\/dien-tich-hinh-thang-3.jpg\" alt=\"C\u00e1ch t\u00ednh to\u00e1n di\u1ec7n t\u00edch h\u00ecnh thang ph\u1ee5 thu\u1ed9c v\u00e0o nhi\u1ec1u y\u1ebfu t\u1ed1. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_buoc_de_tinh_dien_tich_co_chieu_cao_va_chieu_dai_2_mat\"><\/span>C\u00e1c b\u01b0\u1edbc \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch c\u00f3 chi\u1ec1u cao v\u00e0 chi\u1ec1u d\u00e0i 2 m\u1eb7t<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li dir=\"ltr\">B\u01b0\u1edbc 1: T\u00ednh t\u1ed5ng chi\u1ec1u d\u00e0i c\u1ee7a 2 b\u00ean <\/li>\n<\/ul>\n<p dir=\"ltr\">V\u00ec h\u00ecnh thang c\u00f3 hai c\u1ea1nh d\u01b0\u1edbi song song, v\u1ea5n \u0111\u1ec1 kh\u00f4ng mang l\u1ea1i gi\u00e1 tr\u1ecb c\u1ee7a ch\u00fang, m\u1ecdi ng\u01b0\u1eddi c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng th\u01b0\u1edbc k\u1ebb \u0111\u1ec3 \u0111o gi\u00e1 tr\u1ecb c\u1ee7a hai b\u00ean v\u00e0 sau \u0111\u00f3 th\u00eam ch\u00fang l\u1ea1i v\u1edbi nhau.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: Cho m\u1ed9t h\u00ecnh thang, bi\u1ebft \u0111\u1ed9 d\u00e0i c\u01a1 s\u1edf tr\u00ean \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 B1 = 8 cm v\u00e0 \u0111\u00e1y d\u01b0\u1edbi c\u00f9ng \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 B2 = 13 cm, ch\u00fang ta c\u00f3 t\u1ed5ng chi\u1ec1u d\u00e0i 2 \u0111\u00e1y: &#8220;B = B1 + B2&#8221; = 8 cm + 13 cm = 21 cm.<\/p>\n<ul>\n<li dir=\"ltr\">B\u01b0\u1edbc 2: T\u00ednh chi\u1ec1u cao c\u1ee7a h\u00ecnh thang <\/li>\n<\/ul>\n<p dir=\"ltr\">Chi\u1ec1u cao c\u1ee7a h\u00ecnh thang l\u00e0 kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u00e1y song song, do \u0111\u00f3 m\u1ecdi ng\u01b0\u1eddi c\u00f3 th\u1ec3 v\u1ebd m\u1ed9t \u0111\u01b0\u1eddng t\u1eeb d\u01b0\u1edbi xu\u1ed1ng d\u01b0\u1edbi \u0111\u1ec3 hai c\u1ea1nh vu\u00f4ng g\u00f3c. Sau \u0111\u00f3 s\u1eed d\u1ee5ng m\u1ed9t th\u01b0\u1edbc \u0111o \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh chi\u1ec1u d\u00e0i c\u1ee7a chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng.<\/p>\n<p dir=\"ltr\">L\u01b0u \u00fd: Chi\u1ec1u d\u00e0i c\u1ee7a hai c\u1ea1nh kh\u00f4ng ph\u1ea3i l\u00e0 chi\u1ec1u cao c\u1ee7a h\u00ecnh thang v\u00e0 \u0111i\u1ec1u n\u00e0y ch\u1ec9 xu\u1ea5t hi\u1ec7n v\u1edbi h\u00ecnh thang vu\u00f4ng. <\/p>\n<ul>\n<li dir=\"ltr\">B\u01b0\u1edbc 3: L\u1ea5y t\u1ed5ng chi\u1ec1u d\u00e0i c\u1ee7a 2 \u0111\u00e1y v\u1edbi chi\u1ec1u cao <\/li>\n<\/ul>\n<p dir=\"ltr\">Sau khi c\u00f3 c\u00e1c ph\u00e9p \u0111o c\u1ee7a hai \u0111\u00e1y v\u00e0 chi\u1ec1u cao, ch\u00fang t\u00f4i ti\u1ebfn h\u00e0nh nh\u00e2n ch\u00fang v\u1edbi nhau v\u00e0 th\u00eam k\u00fd hi\u1ec7u h\u00ecnh vu\u00f4ng v\u00e0o \u0111\u01a1n v\u1ecb \u0111o t\u01b0\u01a1ng \u1ee9ng.<\/p>\n<p dir=\"ltr\">Gi\u1ea3 \u0111\u1ecbnh tr\u00ean: Ch\u00fang ta c\u00f3 &#8220;(b) H&#8221; = 21 cm x 7 cm = 147 cm2.<\/p>\n<ul>\n<li dir=\"ltr\">B\u01b0\u1edbc 4: L\u1ea5y t\u1ed5ng s\u1ed1 t\u1ed5ng c\u1ee7a \u0111\u00e1y v\u00e0 chi\u1ec1u cao c\u1ee7a ph\u00e9p nh\u00e2n v\u1edbi \u00bd (ho\u1eb7c chia 2) \u0111\u1ec3 t\u00ecm di\u1ec7n t\u00edch h\u00ecnh thang <\/li>\n<\/ul>\n<p dir=\"ltr\">Trong b\u01b0\u1edbc n\u00e0y, \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang, ch\u00fang t\u00f4i \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c \u0111\u1ec3 l\u1ea5y t\u1ed5ng c\u1ee7a t\u1ed5ng \u0111\u00e1y v\u00e0 chi\u1ec1u cao c\u1ee7a ph\u00e9p nh\u00e2n v\u1edbi \u00bd (ho\u1eb7c chia 2 c\u0169ng ra kh\u1ecfi c\u00f9ng m\u1ed9t k\u1ebft qu\u1ea3).<\/p>\n<p dir=\"ltr\">T\u1eeb gi\u1ea3 \u0111\u1ecbnh tr\u00ean: Ch\u00fang ta c\u00f3 di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang S = 147 cm2 \/ 2 = 73,5 cm2<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Tinh_dien_tich_hinh_thang_neu_ban_biet_chieu_dai_cua_ben\"><\/span>T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang n\u1ebfu b\u1ea1n bi\u1ebft chi\u1ec1u d\u00e0i c\u1ee7a b\u00ean<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li dir=\"ltr\">B\u01b0\u1edbc 1: Chia h\u00ecnh thang th\u00e0nh 1 h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 2 h\u00ecnh tam gi\u00e1c ph\u1ea3i <\/li>\n<\/ul>\n<p dir=\"ltr\">\u0110\u1ea7u ti\u00ean, ch\u00fang t\u00f4i s\u1ebd v\u1ebd \u0111\u01b0\u1eddng th\u1eb3ng t\u1eeb g\u00f3c c\u1ee7a \u0111\u00e1y c\u1eaft d\u01b0\u1edbi vu\u00f4ng g\u00f3c. T\u1ea1i th\u1eddi \u0111i\u1ec3m n\u00e0y, h\u00ecnh thang s\u1ebd \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh 2 h\u00ecnh tam gi\u00e1c b\u00ean ph\u1ea3i v\u1edbi c\u00e1c c\u1ea1nh b\u1eb1ng nhau \u1edf c\u1ea3 hai b\u00ean v\u00e0 1 h\u00ecnh ch\u1eef nh\u1eadt l\u1edbn. L\u01b0u \u00fd, t\u00ednh to\u00e1n n\u00e0y s\u1ebd \u00e1p d\u1ee5ng cho thang \u0111o c\u1ee7a h\u00ecnh thang.<\/p>\n<ul>\n<li dir=\"ltr\">B\u01b0\u1edbc 2: T\u00ecm chi\u1ec1u d\u00e0i c\u1ee7a \u0111\u00e1y c\u1ee7a tam gi\u00e1c <\/li>\n<\/ul>\n<p dir=\"ltr\">Ti\u1ebfp theo, m\u1ecdi ng\u01b0\u1eddi s\u1ebd l\u1ea5y chi\u1ec1u d\u00e0i d\u01b0\u1edbi c\u00f9ng tr\u00ean h\u00ecnh thang ngo\u1ea1i tr\u1eeb chi\u1ec1u d\u00e0i d\u01b0\u1edbi c\u00f9ng \u0111\u1ec3 t\u00ednh \u0111\u1ed9 d\u00e0i c\u00f2n l\u1ea1i. Ti\u1ebfp t\u1ee5c l\u1ea5y kho\u1ea3ng c\u00e1ch \u0111\u1ec3 t\u00ecm chia 2 \u0111\u1ec3 t\u00ecm chi\u1ec1u d\u00e0i \u0111\u00e1y h\u00ecnh tam gi\u00e1c. T\u1ea1i th\u1eddi \u0111i\u1ec3m n\u00e0y, ch\u00fang ta s\u1ebd c\u00f3 chi\u1ec1u d\u00e0i huy\u1ec1n tho\u1ea1i v\u00e0 \u0111\u00e1y c\u1ee7a tam gi\u00e1c vu\u00f4ng.<\/p>\n<p dir=\"ltr\">Gi\u1ea3 s\u1eed: Cho h\u00ecnh thang v\u1edbi \u0111\u1ebf tr\u00ean t\u01b0\u01a1ng \u1ee9ng v\u1edbi (b1) = 6 cm, \u0111\u00e1y d\u01b0\u1edbi l\u00e0 (b2) = 12 cm, g\u1ecdi l\u00e0 \u0111\u00e1y c\u1ee7a tam gi\u00e1c, t\u1ea1i th\u1eddi \u0111i\u1ec3m n\u00e0y ch\u00fang ta c\u00f3 a = (b2 &#8211; b1)\/2 = (12 cm &#8211; 6 cm)\/2 = 3 cm.<\/p>\n<ul>\n<li dir=\"ltr\">B\u01b0\u1edbc 3: S\u1eed d\u1ee5ng \u0110\u1ecbnh l\u00fd Pytago \u0111\u1ec3 t\u00ecm chi\u1ec1u cao c\u1ee7a h\u00ecnh thang<\/li>\n<\/ul>\n<p dir=\"ltr\">Sau khi t\u00ecm th\u1ea5y chi\u1ec1u d\u00e0i huy\u1ec1n tho\u1ea1i, \u0111\u00e1y c\u1ee7a tam gi\u00e1c, ch\u00fang t\u00f4i \u00e1p d\u1ee5ng \u0111\u1ecbnh l\u00fd pytago a^2 + b^2 = c^2. Trong \u0111\u00f3 A l\u00e0 c\u1ea1nh d\u01b0\u1edbi v\u00e0 C l\u00e0 Huyen.<\/p>\n<p dir=\"ltr\">T\u1ea1i th\u1eddi \u0111i\u1ec3m n\u00e0y, h\u1ecd s\u1ebd ph\u1ea3i gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 t\u00ecm B l\u00e0 chi\u1ec1u cao c\u1ee7a h\u00ecnh thang.<\/p>\n<p dir=\"ltr\">Gi\u1ea3 s\u1eed: Trong tr\u01b0\u1eddng h\u1ee3p t\u00ednh chi\u1ec1u d\u00e0i d\u01b0\u1edbi c\u00f9ng c\u1ee7a tam gi\u00e1c b\u00ean ph\u1ea3i l\u00e0 3 cm v\u00e0 c\u1ea1nh huy\u1ec1n tho\u1ea1i l\u00e0 5 cm, khi thay th\u1ebf c\u00f4ng th\u1ee9c, ch\u00fang ta s\u1ebd c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh:<\/p>\n<p dir=\"ltr\">(3 cm) ^2 + b ^2 = (5 cm) ^2<\/p>\n<p dir=\"ltr\">Gi\u00e1 tr\u1ecb vu\u00f4ng: 9 cm +b^2 = 25 cm<\/p>\n<p dir=\"ltr\">L\u1ea5y c\u1ea3 hai m\u1eb7t c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh tr\u1eeb 9: b^2 = 16 cm<\/p>\n<p dir=\"ltr\">T\u00ednh to\u00e1n c\u0103n b\u1eadc hai c\u1ee7a hai c\u1ea1nh: b = 4 cm<\/p>\n<ul>\n<li dir=\"ltr\">B\u01b0\u1edbc 4: Thay th\u1ebf chi\u1ec1u d\u00e0i c\u1ee7a 2 \u0111\u00e1y v\u00e0 chi\u1ec1u cao th\u00e0nh c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang<\/li>\n<\/ul>\n<p dir=\"ltr\">B\u01b0\u1edbc cu\u1ed1i c\u00f9ng, ch\u00fang t\u00f4i c\u00f3 chi\u1ec1u d\u00e0i c\u1ee7a chi\u1ec1u cao v\u00e0 hai \u0111\u00e1y t\u00ecm th\u1ea5y c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch S = \u00bd (B1 +B2) H \u0111\u1ec3 t\u00ednh to\u00e1n v\u00e0 \u0111\u01b0a ra c\u00e2u tr\u1ea3 l\u1eddi.<\/p>\n<p dir=\"ltr\">Nh\u01b0 \u0111\u00e3 gi\u1ea3 \u0111\u1ecbnh \u1edf tr\u00ean, ch\u00fang t\u00f4i c\u00f3<\/p>\n<p dir=\"ltr\">S = \u00bd (6 cm +12 cm) (4 cm)<\/p>\n<p dir=\"ltr\">S = \u00bd (18 cm) (4 cm)<\/p>\n<p dir=\"ltr\">S = 36 cm2.<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Thuc_hanh_cac_bai_tap_de_ren_ky_nang_tinh_toan_khu_vuc_hinh_thang\"><\/span>Th\u1ef1c h\u00e0nh c\u00e1c b\u00e0i t\u1eadp \u0111\u1ec3 r\u00e8n k\u1ef9 n\u0103ng t\u00ednh to\u00e1n khu v\u1ef1c h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">D\u1ef1a tr\u00ean ki\u1ebfn \u200b\u200bth\u1ee9c \u0111\u00e3 h\u1ecdc \u1edf tr\u00ean v\u1ec1 khu v\u1ef1c h\u00ecnh thang \u1edf tr\u00ean, b\u00ean d\u01b0\u1edbi kh\u1ec9 s\u1ebd t\u00f3m t\u1eaft th\u00eam m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp v\u1edbi c\u00e1c gi\u1ea3i ph\u00e1p v\u00e0 b\u00e0i t\u1eadp \u0111\u1ec3 ch\u00fang th\u1ef1c h\u00e0nh th\u00eam:<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Tap_Tyme_khu_vuc_voi_cac_giai_phap\"><\/span>T\u1eadp Tyme khu v\u1ef1c v\u1edbi c\u00e1c gi\u1ea3i ph\u00e1p<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3 dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/dien-tich-hinh-thang-bai-tap.jpg\" alt=\"(Ngu\u1ed3n: T\u00f3m t\u1eaft)\" width=\"100%\"><\/h3>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Vung_hinh_thang_khong_co_giai_phap\"><\/span>V\u00f9ng h\u00ecnh thang kh\u00f4ng c\u00f3 gi\u1ea3i ph\u00e1p<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">C\u00e2u 1: Cho ABCD h\u00ecnh thang. B\u1ed1n \u0111i\u1ec3m m, n, p, q l\u00e0 c\u00e1c \u0111i\u1ec3m gi\u1eefa 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 c\u1ee7a h\u00ecnh thang ABCD.<\/p>\n<p dir=\"ltr\">C\u00e2u 2: Cho ABCD h\u00ecnh thang v\u1edbi chi\u1ec1u cao 4,2 dm, di\u1ec7n t\u00edch = 36,12 DM2 v\u00e0 \u0111\u00e1y l\u1edbn c\u1ee7a CD d\u00e0i h\u01a1n 7,8 dm so v\u1edbi \u0111\u00e1y AB. M\u1edf r\u1ed9ng AD v\u00e0 BC giao nhau t\u1ea1i E. Bi\u1ebft AD = 3\/5 DE. Khu v\u1ef1c Tam gi\u00e1c Abe l\u00e0 bao nhi\u00eau?<\/p>\n<p dir=\"ltr\">C\u00e2u 3: Cho m\u1ed9t h\u00ecnh thang h\u00ecnh vu\u00f4ng ABCD (g\u00f3c A, D l\u00e0 g\u00f3c vu\u00f4ng) v\u1edbi AB = 4cm, DC = 5cm, AD = 3cm. K\u1ebft n\u1ed1i D v\u1edbi B, Tam gi\u00e1c ABD v\u00e0 BDC thu \u0111\u01b0\u1ee3c.<\/p>\n<p dir=\"ltr\">a) T\u00ednh di\u1ec7n t\u00edch c\u1ee7a tam gi\u00e1c \u0111\u00f3.<\/p>\n<p dir=\"ltr\">b) T\u00ednh t\u1ef7 l\u1ec7 ph\u1ea7n tr\u0103m c\u1ee7a di\u1ec7n t\u00edch Tam gi\u00e1c ABD v\u00e0 di\u1ec7n t\u00edch c\u1ee7a Tam gi\u00e1c BDC.<\/p>\n<p dir=\"ltr\">C\u00e2u 4: T\u00ednh chi\u1ec1u cao h\u00ecnh thang:<\/p>\n<p dir=\"ltr\">M\u1ed9t). Di\u1ec7n t\u00edch 30cm\u00b2; \u0110\u00e1y tuy\u1ec7t v\u1eddi 8cm v\u00e0 \u0111\u00e1y nh\u1ecf 0,4dm.<\/p>\n<p dir=\"ltr\">b). Di\u1ec7n t\u00edch 6,4 dm\u00b2; \u0110\u00e1y l\u1edbn 1,8dm; \u0110\u00e1y 1,4dm.<\/p>\n<p dir=\"ltr\">c). Di\u1ec7n t\u00edch 3\/4m\u00b2; \u0110\u00e1y l\u1edbn 1\/4m v\u00e0 \u0111\u00e1y nh\u1ecf 1\/8m.<\/p>\n<p dir=\"ltr\">C\u00e2u 5: T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang:<\/p>\n<p dir=\"ltr\">M\u1ed9t). \u0110\u00e1y l\u1edbn 8m; 75mdm em b\u00e9 d\u01b0\u1edbi c\u00f9ng; Chi\u1ec1u cao 32dm.<\/p>\n<p dir=\"ltr\">b). \u0110\u00e1y l\u1edbn 1,9m; \u0111\u00e1y nh\u1ecf 1,3m; Chi\u1ec1u cao 0,9m.<\/p>\n<p dir=\"ltr\">c). \u0110\u00e1y l\u1edbn 2\/3M; \u0110\u00e1y 1\/2m; Chi\u1ec1u cao 3\/5m.<\/p>\n<p dir=\"ltr\">C\u00e2u 6: T\u00ednh t\u1ed5ng c\u1ee7a hai \u0111\u00e1y h\u00ecnh thang:<\/p>\n<p dir=\"ltr\">M\u1ed9t). Di\u1ec7n t\u00edch 3,6 dam\u00b2; Chi\u1ec1u cao 1.2dam.<\/p>\n<p dir=\"ltr\">b). Di\u1ec7n t\u00edch 3\/4m\u00b2; Chi\u1ec1u cao 2\/3m.<\/p>\n<p dir=\"ltr\">c). Di\u1ec7n t\u00edch 2400cm\u00b2; Chi\u1ec1u cao 3,8dm.<\/p>\n<p dir=\"ltr\">C\u00e2u 7: M\u1ed9t tr\u01b0\u1eddng b\u1eadc thang vu\u00f4ng v\u1edbi c\u00e1c c\u1ea1nh vu\u00f4ng g\u00f3c v\u1edbi hai \u0111\u00e1y d\u00e0i 30,5m; \u0111\u00e1y l\u1edbn 120,4m; \u0110\u00e1y 79,6m.<\/p>\n<p dir=\"ltr\">M\u1ed9t. T\u00ednh di\u1ec7n t\u00edch c\u1ee7a tr\u01b0\u1eddng v\u1edbi dam\u00b2<\/p>\n<p dir=\"ltr\">b. Trung b\u00ecnh, 100dam2 thu \u0111\u01b0\u1ee3c 65,2kg l\u00faa. H\u1ecfi c\u00f3 bao nhi\u00eau kg paddy tr\u00ean to\u00e0n b\u1ed9 l\u0129nh v\u1ef1c?<\/p>\n<p dir=\"ltr\">C\u00e2u 8: M\u1ed9t h\u00ecnh thang c\u00f3 \u0111\u00e1y nh\u1ecf 2,8dm. T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thang.<\/p>\n<p dir=\"ltr\">C\u00e2u 9: M\u1ed9t m\u1ea3nh \u0111\u1ea5t h\u00ecnh thang c\u00f3 \u0111\u00e1y nh\u1ecf 18m v\u00e0 b\u1eb1ng v\u1edbi \u0111\u00e1y l\u1edbn. T\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang?<\/p>\n<p dir=\"ltr\">C\u00e2u 10: M\u1ed9t tr\u01b0\u1eddng b\u1eadc thang c\u00f3 \u0111\u00e1y l\u1edbn 75,6m; \u00cdt \u0111\u00e1y 62,4m v\u00e0 chi\u1ec1u cao 40m. Bi\u1ebft r\u1eb1ng 2\/5 khu v\u1ef1c ng\u00f4, 1\/3 khu v\u1ef1c tr\u1ed3ng khoai t\u00e2y, \u0111\u1eadu ph\u1ed9ng c\u00f2n l\u1ea1i. T\u00ednh di\u1ec7n t\u00edch c\u1ee7a t\u1eebng c\u00e2y tr\u00ean m\u1ed7i c\u00e2y?<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Kinh_nghiem_hoc_tap_hieu_qua_o_khu_vuc_hinh_thang\"><\/span>Kinh nghi\u1ec7m h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3 \u1edf khu v\u1ef1c h\u00ecnh thang<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 gi\u00fap h\u1ecdc sinh h\u1ecdc ki\u1ebfn \u200b\u200bth\u1ee9c to\u00e1n h\u1ecdc n\u00f3i chung, c\u00e1ch t\u00ednh to\u00e1n khu v\u1ef1c trong h\u00ecnh thang n\u00f3i ri\u00eang, \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 m\u1eb9o m\u00e0 m\u1ecdi ng\u01b0\u1eddi \u0111\u1ec1u c\u00f3 th\u1ec3 tham kh\u1ea3o:<\/p>\n<h3 dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/dien-tich-hinh-thang-4.jpg\" alt=\"C\u1ea7n th\u00e0nh th\u1ea1o ki\u1ebfn \u200b\u200bth\u1ee9c c\u01a1 b\u1ea3n khi t\u00ednh to\u00e1n khu v\u1ef1c c\u1ee7a h\u00ecnh thang. (\u1ea2nh: B\u1ed9 s\u01b0u t\u1eadp Internet)\" width=\"100%\"><\/h3>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u1ea1o s\u1ef1 ph\u1ea5n kh\u00edch khi h\u1ecdc to\u00e1n v\u1edbi to\u00e1n h\u1ecdc kh\u1ec9: l\u00e0 m\u1ed9t \u1ee9ng d\u1ee5ng c\u1ee7a vi\u1ec7c d\u1ea1y to\u00e1n tr\u1ef1c tuy\u1ebfn cho tr\u1ebb em, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math x\u00e2y d\u1ef1ng n\u1ed9i dung b\u00e0i h\u1ecdc theo ch\u01b0\u01a1ng tr\u00ecnh GDPT m\u1edbi nh\u1ea5t, k\u1ebft h\u1ee3p v\u1edbi ph\u01b0\u01a1ng ph\u00e1p to\u00e1n \u0111a ph\u01b0\u01a1ng ti\u1ec7n, k\u1ebft h\u1ee3p v\u1edbi c\u00e1c minh h\u1ecda r\u00f5 r\u00e0ng, s\u1ed1ng \u0111\u1ed9ng, c\u00e1c tr\u00f2 ch\u01a1i t\u01b0\u01a1ng t\u00e1c th\u00fa v\u1ecb, \u0111a d\u1ea1ng, chia th\u00e0nh nhi\u1ec1u c\u1ea5p \u0111\u1ed9. Do \u0111\u00f3, gi\u00fap m\u1ed7i l\u1ea7n h\u1ecdc to\u00e1n v\u1edbi tr\u1ebb em s\u1ebd l\u00e0 m\u1ed9t ni\u1ec1m vui thay v\u00ec t\u1eadp trung v\u00e0o s\u00e1ch gi\u00e1o khoa.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Hi\u1ec3u ki\u1ebfn \u200b\u200bth\u1ee9c c\u01a1 b\u1ea3n: V\u1edbi khu v\u1ef1c h\u00ecnh thang, s\u1ebd c\u00f3 c\u00e1c b\u00e0i t\u1eadp n\u00e2ng cao, \u0111\u00f2i h\u1ecfi tr\u1ebb ph\u1ea3i \u00e1p d\u1ee5ng nhi\u1ec1u ki\u1ebfn \u200b\u200bth\u1ee9c h\u00ecnh h\u1ecdc kh\u00e1c nhau. V\u00ec v\u1eady, l\u00e0m ch\u1ee7 ki\u1ebfn \u200b\u200bth\u1ee9c c\u01a1 b\u1ea3n v\u1ec1 h\u00ecnh h\u1ecdc t\u1eeb c\u00e1c kh\u00e1i ni\u1ec7m, thu\u1ed9c t\u00ednh v\u00e0 c\u00e1c c\u00f4ng th\u1ee9c li\u00ean quan \u0111\u1ec3 gi\u1ea3i quy\u1ebft b\u00e0i t\u1eadp v\u1ec1 nh\u00e0 d\u1ec5 d\u00e0ng h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Th\u1ef1c h\u00e0nh th\u01b0\u1eddng xuy\u00ean h\u01a1n: Ngo\u00e0i l\u00fd thuy\u1ebft h\u1ecdc t\u1eadp, ph\u1ee5 huynh n\u00ean khuy\u1ebfn kh\u00edch v\u00e0 y\u00eau c\u1ea7u con c\u00e1i h\u1ecd th\u1ef1c h\u00e0nh, th\u1ef1c h\u00e0nh nhi\u1ec1u h\u01a1n t\u1eeb c\u00f4ng vi\u1ec7c kh\u00f3 kh\u0103n trong s\u00e1ch gi\u00e1o khoa, tham kh\u1ea3o nhi\u1ec1u ki\u1ebfn \u200b\u200bth\u1ee9c internet, c\u00e2u h\u1ecfi thi, t\u1ef1 t\u1ed5 ch\u1ee9c c\u00e1c tr\u00f2 ch\u01a1i to\u00e1n h\u1ecdc, &#8230; \u0111\u1ec3 k\u00edch th\u00edch n\u00e3o v\u00e0 kh\u1ea3 n\u0103ng suy ngh\u0129 t\u1ed1t h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00ecm hi\u1ec3u c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh to\u00e1n khu v\u1ef1c h\u00ecnh thang th\u00f4ng qua b\u00e0i th\u01a1: Ghi nh\u1edb c\u00f4ng th\u1ee9c th\u00f4ng qua c\u00e1c b\u00e0i th\u01a1 c\u00f3 v\u1ea7n \u0111i\u1ec7u s\u1ebd gi\u00fap ch\u00fang d\u1ec5 d\u00e0ng ghi nh\u1edb thay v\u00ec h\u1ecdc c\u00e1c \u0111o\u1ea1n v\u0103n. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t g\u1ee3i \u00fd b\u00e0i th\u01a1 v\u1ec1 c\u00f4ng th\u1ee9c t\u00ednh to\u00e1n khu v\u1ef1c c\u1ee7a h\u00ecnh thang \u0111\u1ec3 tham kh\u1ea3o th\u00eam:<\/p>\n<\/li>\n<\/ul>\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 d\u00e0i, \u0111\u00e1y ng\u1eafn ch\u00fang t\u00f4i mang th\u00eam<\/em><\/p>\n<p dir=\"ltr\" style=\"text-align: center\"><em>Sau \u0111\u00f3 mang kernel v\u1edbi chi\u1ec1u cao<\/em><\/p>\n<p dir=\"ltr\" style=\"text-align: center\"><em>Chia th\u00eam b\u1ea5t k\u1ef3 \u0111\u1ec3 ra ngo\u00e0i. &#8220;<\/em><\/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>\n<p dir=\"ltr\">Tr\u00ean \u0111\u00e2y l\u00e0 th\u00f4ng tin chia s\u1ebb v\u1ec1 ki\u1ebfn \u200b\u200bth\u1ee9c c\u01a1 b\u1ea3n v\u1ec1 khu v\u1ef1c h\u00ecnh thang. \u0110\u00e2y \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t ch\u1ee7 \u0111\u1ec1 quan tr\u1ecdng trong h\u00ecnh h\u1ecdc m\u00e0 h\u1ecd c\u1ea7n hi\u1ec3u, h\u1ed7 tr\u1ee3 l\u1edbp h\u1ecdc trong l\u1edbp, c\u00e2u h\u1ecfi thi ho\u1eb7c \u1ee9ng d\u1ee5ng trong th\u1ef1c t\u1ebf hi\u1ec7u qu\u1ea3 h\u01a1n.<\/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>Khu v\u1ef1c h\u00ecnh thang l\u00e0 m\u1ed9t v\u1ea5n \u0111\u1ec1 kh\u00f4ng ch\u1ec9 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong to\u00e1n h\u1ecdc, m\u00e0 ngay c\u1ea3 trong th\u1ef1c t\u1ebf c\u0169ng c\u00f3 nhi\u1ec1u li\u00ean quan. V\u00ec v\u1eady, \u0111\u1ec3 bi\u1ebft c\u00e1ch t\u00ednh di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thang chi ti\u1ebft, b\u00e0i vi\u1ebft sau \u0111\u00e2y c\u1ee7a kh\u1ec9 s\u1ebd tr\u1ea3 l\u1eddi. Xem t\u1ea5t c\u1ea3 Gi\u1edbi thi\u1ec7u v\u1ec1&#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-14349","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14349","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=14349"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14349\/revisions"}],"predecessor-version":[{"id":17848,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14349\/revisions\/17848"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=14349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=14349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=14349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}