{"id":566353,"date":"2026-07-16T09:53:51","date_gmt":"2026-07-16T02:53:51","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=566353"},"modified":"2026-07-16T09:53:51","modified_gmt":"2026-07-16T02:53:51","slug":"duong-trung-truc-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/duong-trung-truc-la-gi\/","title":{"rendered":"\u0110\u01b0\u1eddng Trung Tr\u1ef1c L\u00e0 G\u00ec? T\u00ednh Ch\u1ea5t, \u0110\u1ecbnh L\u00fd &#038; B\u00e0i T\u1eadp H\u00ecnh H\u1ecdc"},"content":{"rendered":"<p style=\"text-align: justify;\"><b>\u0110\u01b0\u1eddng trung tr\u1ef1c l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> Trong h\u00ecnh h\u1ecdc ph\u1eb3ng, \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng \u0111\u00f3 t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a n\u00f3. B\u1ea5t k\u1ef3 m\u1ed9t \u0111i\u1ec3m n\u00e0o n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng trung tr\u1ef1c \u0111\u1ec1u c\u00f3 t\u00ednh ch\u1ea5t \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00e1ch \u0111\u1ec1u hai \u0111\u1ea7u m\u00fat c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u0111\u00f3. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 7, \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng khi ch\u1ee9ng minh c\u00e1c b\u00e0i to\u00e1n v\u1ec1 tam gi\u00e1c v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>\u0110\u1ecbnh ngh\u0129a \u0111\u01b0\u1eddng trung tr\u1ef1c l\u00e0 g\u00ec?<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u0110\u01b0\u1eddng trung tr\u1ef1c l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc c\u01a1 b\u1ea3n v\u00e0 quan tr\u1ecdng, \u0111\u01b0\u1ee3c gi\u1edbi thi\u1ec7u trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n ph\u1ed5 th\u00f4ng. Kh\u00e1i ni\u1ec7m n\u00e0y gi\u00fap h\u1ecdc sinh hi\u1ec3u r\u00f5 m\u1ed1i quan h\u1ec7 gi\u1eefa \u0111o\u1ea1n th\u1eb3ng v\u00e0 c\u00e1c \u0111i\u1ec3m c\u00e1ch \u0111\u1ec1u hai \u0111\u1ea7u m\u00fat c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u0111\u00f3.<\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-566770\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-5.jpg\" alt=\"duong-trung-truc-la-gi-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p style=\"text-align: justify;\"><b>\u0110\u1ecbnh ngh\u0129a:<\/b><span style=\"font-weight: 400;\"> \u0110\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a n\u00f3. N\u00f3i c\u00e1ch kh\u00e1c, \u0111\u00e2y l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng v\u1eeba \u0111i qua trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng, v\u1eeba t\u1ea1o v\u1edbi \u0111o\u1ea1n th\u1eb3ng m\u1ed9t g\u00f3c vu\u00f4ng (90\u00b0).<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>T\u00ednh ch\u1ea5t v\u00e0 \u0111\u1ecbnh l\u00fd \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">C\u00e1c t\u00ednh ch\u1ea5t \u0111\u01b0\u1eddng trung tr\u1ef1c bao g\u1ed3m hai \u0111\u1ecbnh l\u00fd c\u01a1 b\u1ea3n (\u0111\u1ecbnh l\u00fd thu\u1eadn v\u00e0 \u0111\u1ecbnh l\u00fd \u0111\u1ea3o) gi\u00fap h\u1ecdc sinh ch\u1ee9ng minh c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn \u0111o\u1ea1n th\u1eb3ng b\u1eb1ng nhau ho\u1eb7c c\u00e1c \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>\u0110\u1ecbnh l\u00fd thu\u1eadn<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">N\u1ebfu m\u1ed9t \u0111i\u1ec3m n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng th\u00ec n\u00f3 c\u00e1ch \u0111\u1ec1u hai \u0111\u1ea7u m\u00fat c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u0111\u00f3.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Gi\u1ea3 thi\u1ebft: Cho \u0111\u01b0\u1eddng th\u1eb3ng d l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB. \u0110i\u1ec3m M thu\u1ed9c \u0111\u01b0\u1eddng th\u1eb3ng d.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">K\u1ebft lu\u1eadn: MA = MB.<\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><b>\u0110\u1ecbnh l\u00fd \u0111\u1ea3o<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u0110i\u1ec3m c\u00e1ch \u0111\u1ec1u hai \u0111\u1ea7u m\u00fat c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng th\u00ec n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u0111\u00f3.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Gi\u1ea3 thi\u1ebft: Cho \u0111o\u1ea1n th\u1eb3ng AB v\u00e0 m\u1ed9t \u0111i\u1ec3m M th\u1ecfa m\u00e3n MA = MB.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">K\u1ebft lu\u1eadn: \u0110i\u1ec3m M n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">H\u1ec7 qu\u1ea3: T\u1eeb \u0111\u1ecbnh l\u00fd \u0111\u1ea3o, n\u1ebfu ta t\u00ecm \u0111\u01b0\u1ee3c hai \u0111i\u1ec3m M v\u00e0 N c\u00f9ng c\u00e1ch \u0111\u1ec1u hai \u0111\u1ea7u m\u00fat A v\u00e0 B (MA = MB v\u00e0 NA = NB) th\u00ec \u0111\u01b0\u1eddng th\u1eb3ng MN ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB.<\/li>\n<\/ul>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-566769\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-4.jpg\" alt=\"duong-trung-truc-la-gi-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>\u0110\u01b0\u1eddng trung tr\u1ef1c trong tam gi\u00e1c v\u00e0 c\u00e1c t\u00ednh ch\u1ea5t m\u1edf r\u1ed9ng<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Khi \u00e1p d\u1ee5ng v\u00e0o h\u00ecnh tam gi\u00e1c, \u0111\u01b0\u1eddng trung tr\u1ef1c kh\u00f4ng ch\u1ec9 gi\u00fap gi\u1ea3i quy\u1ebft nhi\u1ec1u b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc m\u00e0 c\u00f2n l\u00e0 n\u1ec1n t\u1ea3ng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh t\u00e2m \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp v\u00e0 ch\u1ee9ng minh c\u00e1c t\u00ednh ch\u1ea5t \u0111\u1ed3ng quy.<\/span><\/p>\n<p style=\"text-align: justify;\"><b>\u0110\u1ecbnh ngh\u0129a:<\/b><span style=\"font-weight: 400;\"> Trong m\u1ed9t tam gi\u00e1c, \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a m\u1ed7i c\u1ea1nh \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 m\u1ed9t \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a tam gi\u00e1c. V\u00ec m\u1ed9t tam gi\u00e1c c\u00f3 ba c\u1ea1nh n\u00ean s\u1ebd c\u00f3 ba \u0111\u01b0\u1eddng trung tr\u1ef1c, t\u01b0\u01a1ng \u1ee9ng v\u1edbi ba c\u1ea1nh \u0111\u00f3.<\/span><\/p>\n<p style=\"text-align: justify;\"><b>T\u00ednh ch\u1ea5t \u0111\u1ed3ng quy:<\/b><span style=\"font-weight: 400;\"> Ba \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a m\u1ed9t tam gi\u00e1c lu\u00f4n \u0111\u1ed3ng quy t\u1ea1i m\u1ed9t \u0111i\u1ec3m duy nh\u1ea5t. \u0110i\u1ec3m n\u00e0y c\u00f3 kho\u1ea3ng c\u00e1ch b\u1eb1ng nhau \u0111\u1ebfn c\u1ea3 ba \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c v\u00e0 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00e2m \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp tam gi\u00e1c. \u0110\u00e2y c\u0169ng ch\u00ednh l\u00e0 t\u00e2m c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n \u0111i qua c\u1ea3 ba \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-566768\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-3.jpg\" alt=\"duong-trung-truc-la-gi-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e1ch v\u1ebd \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng ch\u00ednh x\u00e1c nh\u1ea5t<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u0110\u1ec3 v\u1ebd \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng cho tr\u01b0\u1edbc, h\u1ecdc sinh th\u01b0\u1eddng s\u1eed d\u1ee5ng hai ph\u01b0\u01a1ng ph\u00e1p ph\u1ed5 bi\u1ebfn d\u01b0\u1edbi \u0111\u00e2y:<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00e1ch 1: S\u1eed d\u1ee5ng th\u01b0\u1edbc th\u1eb3ng v\u00e0 \u00eake (D\u1ef1a v\u00e0o \u0111\u1ecbnh ngh\u0129a)<\/b><\/h3>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: D\u00f9ng th\u01b0\u1edbc th\u1eb3ng \u0111o chi\u1ec1u d\u00e0i \u0111o\u1ea1n th\u1eb3ng AB v\u00e0 x\u00e1c \u0111\u1ecbnh v\u1ecb tr\u00ed trung \u0111i\u1ec3m M sao cho MA = MB.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: \u0110\u1eb7t c\u1ea1nh g\u00f3c vu\u00f4ng c\u1ee7a \u00ea-ke tr\u00f9ng v\u1edbi \u0111o\u1ea1n th\u1eb3ng AB, \u0111\u1ec9nh g\u00f3c vu\u00f4ng tr\u00f9ng v\u1edbi \u0111i\u1ec3m M.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 3: K\u1ebb m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng d\u1ecdc theo c\u1ea1nh g\u00f3c vu\u00f4ng c\u00f2n l\u1ea1i c\u1ee7a \u00ea-ke. \u0110\u01b0\u1eddng th\u1eb3ng v\u1eeba k\u1ebb ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ea7n t\u00ecm.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Ho\u1eb7c h\u1ecdc sinh c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng v\u1ebd v\u00e0 tr\u1ef1c quan h\u00f3a h\u00ecnh h\u1ecdc b\u1eb1ng <\/span><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tai-phan-mem-geogebra\/\">ph\u1ea7n m\u1ec1m GeoGebra<\/a><span style=\"font-weight: 400;\"> \u2014 c\u00f4ng c\u1ee5 d\u1ef1ng h\u00ecnh mi\u1ec5n ph\u00ed \u0111\u01b0\u1ee3c nhi\u1ec1u gi\u00e1o vi\u00ean khuy\u00ean d\u00f9ng \u0111\u1ec3 ki\u1ec3m tra l\u1ea1i k\u1ebft qu\u1ea3 v\u1ebd tay.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-566767\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-2.jpg\" alt=\"duong-trung-truc-la-gi-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00e1ch 2: S\u1eed d\u1ee5ng compa v\u00e0 th\u01b0\u1edbc th\u1eb3ng (D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t c\u00e1ch \u0111\u1ec1u)<\/b><\/h3>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: M\u1edf r\u1ed9ng compa c\u00f3 kh\u1ea9u \u0111\u1ed9 l\u1edbn h\u01a1n m\u1ed9t n\u1eeda \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n th\u1eb3ng AB.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: L\u1ea5y A l\u00e0m t\u00e2m, quay m\u1ed9t cung tr\u00f2n. Gi\u1eef nguy\u00ean b\u00e1n k\u00ednh, l\u1ea5y B l\u00e0m t\u00e2m, quay th\u00eam m\u1ed9t cung tr\u00f2n n\u1eefa.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 3: Hai cung tr\u00f2n tr\u00ean s\u1ebd c\u1eaft nhau t\u1ea1i hai \u0111i\u1ec3m P v\u00e0 Q.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 4: D\u00f9ng th\u01b0\u1edbc th\u1eb3ng k\u1ebb \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua hai \u0111i\u1ec3m P v\u00e0 Q. \u0110\u01b0\u1eddng th\u1eb3ng PQ ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">C\u00e1ch v\u1ebd b\u1eb1ng compa d\u1ef1a tr\u00ean t\u00ednh ch\u1ea5t c\u00e1ch \u0111\u1ec1u: v\u00ec PA = PB v\u00e0 QA = QB n\u00ean c\u1ea3 P v\u00e0 Q \u0111\u1ec1u n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng trung tr\u1ef1c, do \u0111\u00f3 \u0111\u01b0\u1eddng th\u1eb3ng PQ ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ea7n d\u1ef1ng. \u0110\u00e2y l\u00e0 ph\u01b0\u01a1ng ph\u00e1p chu\u1ea9n x\u00e1c nh\u1ea5t v\u00e0 kh\u00f4ng c\u1ea7n \u0111o trung \u0111i\u1ec3m tr\u01b0\u1edbc.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>Ph\u00e2n bi\u1ec7t \u0111\u01b0\u1eddng trung tr\u1ef1c v\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">R\u1ea5t nhi\u1ec1u h\u1ecdc sinh th\u01b0\u1eddng xuy\u00ean nh\u1ea7m l\u1eabn gi\u1eefa hai kh\u00e1i ni\u1ec7m \u0111\u01b0\u1eddng trung tr\u1ef1c v\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c. B\u1ea3ng so s\u00e1nh d\u01b0\u1edbi \u0111\u00e2y s\u1ebd gi\u00fap c\u00e1c b\u1ea1n ph\u00e2n bi\u1ec7t m\u1ed9t c\u00e1ch r\u00f5 r\u00e0ng:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<td><b>\u0110\u1eb7c \u0111i\u1ec3m ph\u00e2n bi\u1ec7t<\/b><\/td>\n<td><b>\u0110\u01b0\u1eddng trung tr\u1ef1c<\/b><\/td>\n<td><b>\u0110\u01b0\u1eddng ph\u00e2n gi\u00e1c<\/b><\/td>\n<\/tr>\n<tr>\n<td><b>\u0110\u1ed1i t\u01b0\u1ee3ng \u00e1p d\u1ee5ng<\/b><\/td>\n<td><span style=\"font-weight: 400;\">\u00c1p d\u1ee5ng cho m\u1ed9t <\/span><b>\u0111o\u1ea1n th\u1eb3ng<\/b><span style=\"font-weight: 400;\"> (ho\u1eb7c c\u1ea1nh tam gi\u00e1c).<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\u00c1p d\u1ee5ng cho m\u1ed9t <\/span><b>g\u00f3c<\/b><span style=\"font-weight: 400;\"> c\u1ee7a tam gi\u00e1c.<\/span><\/td>\n<\/tr>\n<tr>\n<td><b>Y\u1ebfu t\u1ed1 c\u1ed1t l\u00f5i<\/b><\/td>\n<td><span style=\"font-weight: 400;\">\u0110i qua <\/span><b>trung \u0111i\u1ec3m<\/b><span style=\"font-weight: 400;\"> v\u00e0 <\/span><b>vu\u00f4ng g\u00f3c<\/b><span style=\"font-weight: 400;\">.<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Chia g\u00f3c th\u00e0nh <\/span><b>hai ph\u1ea7n b\u1eb1ng nhau<\/b><span style=\"font-weight: 400;\">.<\/span><\/td>\n<\/tr>\n<tr>\n<td><b>T\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng<\/b><\/td>\n<td><span style=\"font-weight: 400;\">\u0110i\u1ec3m n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng c\u00e1ch \u0111\u1ec1u <\/span><b>hai \u0111\u1ea7u m\u00fat<\/b><span style=\"font-weight: 400;\">.<\/span><\/td>\n<td><span style=\"font-weight: 400;\">\u0110i\u1ec3m n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng c\u00e1ch \u0111\u1ec1u <\/span><b>hai c\u1ea1nh c\u1ee7a g\u00f3c<\/b><span style=\"font-weight: 400;\">.<\/span><\/td>\n<\/tr>\n<tr>\n<td><b>S\u1ef1 tr\u00f9ng h\u1ee3p \u0111\u1eb7c bi\u1ec7t<\/b><\/td>\n<td><span style=\"font-weight: 400;\">Trong tam gi\u00e1c c\u00e2n ho\u1eb7c tam gi\u00e1c \u0111\u1ec1u, \u0111\u01b0\u1eddng trung tr\u1ef1c \u1ee9ng v\u1edbi c\u1ea1nh \u0111\u00e1y \u0111\u1ed3ng th\u1eddi l\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c.<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Trong tam gi\u00e1c c\u00e2n ho\u1eb7c tam gi\u00e1c \u0111\u1ec1u, \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c c\u1ee7a \u0111\u1ec9nh c\u00e2n \u0111\u1ed3ng th\u1eddi l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c.<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><b>C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp \u0111\u01b0\u1eddng trung tr\u1ef1c l\u1edbp 7 th\u01b0\u1eddng g\u1eb7p (C\u00f3 l\u1eddi gi\u1ea3i)<\/b><\/h2>\n<h3 style=\"text-align: justify;\"><b>D\u1ea1ng 1: Ch\u1ee9ng minh hai \u0111o\u1ea1n th\u1eb3ng b\u1eb1ng nhau<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i:<\/b><span style=\"font-weight: 400;\"> S\u1eed d\u1ee5ng \u0111\u1ecbnh l\u00fd thu\u1eadn. N\u1ebfu ch\u1ee9ng minh \u0111\u01b0\u1ee3c m\u1ed9t \u0111i\u1ec3m thu\u1ed9c \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng th\u00ec \u0111i\u1ec3m \u0111\u00f3 c\u00e1ch \u0111\u1ec1u hai \u0111\u1ea7u m\u00fat.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>B\u00e0i t\u1eadp m\u1eabu: <\/b><span style=\"font-weight: 400;\">Cho tam gi\u00e1c ABC c\u00f3 \u0111\u01b0\u1eddng th\u1eb3ng d l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a c\u1ea1nh BC. \u0110\u01b0\u1eddng th\u1eb3ng d c\u1eaft c\u1ea1nh AC t\u1ea1i \u0111i\u1ec3m E. Ch\u1ee9ng minh r\u1eb1ng EB + EA = AC.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul style=\"text-align: justify;\">\n<li aria-level=\"1\"><b>L\u1eddi gi\u1ea3i: <\/b><\/li>\n<\/ul>\n<ul style=\"text-align: justify;\">\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">V\u00ec E thu\u1ed9c \u0111\u01b0\u1eddng trung tr\u1ef1c d c\u1ee7a \u0111o\u1ea1n th\u1eb3ng BC n\u00ean theo \u0111\u1ecbnh l\u00fd thu\u1eadn ta c\u00f3: EB = EC.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">Ta l\u1ea1i c\u00f3 \u0111i\u1ec3m E n\u1eb1m gi\u1eefa A v\u00e0 C n\u00ean: EC + EA = AC.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">Thay EB = EC v\u00e0o bi\u1ec3u th\u1ee9c tr\u00ean, ta \u0111\u01b0\u1ee3c: EB + EA = AC (\u0110pcm).<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-566766\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-1.jpg\" alt=\"duong-trung-truc-la-gi-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/duong-trung-truc-la-gi-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h3 style=\"text-align: justify;\"><b>D\u1ea1ng 2: Ch\u1ee9ng minh m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i: <\/b><span style=\"font-weight: 400;\">S\u1eed d\u1ee5ng h\u1ec7 qu\u1ea3 c\u1ee7a \u0111\u1ecbnh l\u00fd \u0111\u1ea3o. T\u00ecm hai \u0111i\u1ec3m c\u00f9ng c\u00e1ch \u0111\u1ec1u hai \u0111\u1ea7u m\u00fat c\u1ee7a \u0111o\u1ea1n th\u1eb3ng r\u1ed3i n\u1ed1i ch\u00fang l\u1ea1i, ho\u1eb7c ch\u1ee9ng minh \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua trung \u0111i\u1ec3m v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>B\u00e0i t\u1eadp m\u1eabu:<\/b><span style=\"font-weight: 400;\"> Cho tam gi\u00e1c ABC c\u00e2n t\u1ea1i A. Ch\u1ee9ng minh r\u1eb1ng \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c xu\u1ea5t ph\u00e1t t\u1eeb \u0111\u1ec9nh A \u0111\u1ed3ng th\u1eddi l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a c\u1ea1nh BC.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>L\u1eddi gi\u1ea3i:<\/b><span style=\"font-weight: 400;\"> G\u1ecdi AD l\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c A (D thu\u1ed9c BC). X\u00e9t \u25b3ABD v\u00e0 \u25b3ACD c\u00f3: <\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">AB = AC (do \u25b3ABC c\u00e2n t\u1ea1i A); g\u00f3c BAD = g\u00f3c CAD (do AD l\u00e0 ph\u00e2n gi\u00e1c).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">C\u1ea1nh AD chung.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">=&gt; \u25b3ABD = \u25b3ACD (c.g.c)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">=&gt; DB = DC (hai c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng) n\u00ean D l\u00e0 trung \u0111i\u1ec3m c\u1ee7a BC (1).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">\u0110\u1ed3ng th\u1eddi, g\u00f3c ADB = g\u00f3c ADC (hai g\u00f3c t\u01b0\u01a1ng \u1ee9ng). M\u00e0 g\u00f3c ADB + g\u00f3c ADC = 180<\/span><b>\u00b0<\/b><span style=\"font-weight: 400;\"> (hai g\u00f3c k\u1ec1 b\u00f9) =&gt; g\u00f3c ADB = 90<\/span><b>\u00b0<\/b><span style=\"font-weight: 400;\"> hay AD vu\u00f4ng g\u00f3c BC (2).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><span style=\"font-weight: 400;\">T\u1eeb (1) v\u00e0 (2) suy ra AD ch\u00ednh l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a c\u1ea1nh BC.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\"><b>\u1ee8ng d\u1ee5ng c\u1ee7a \u0111\u01b0\u1eddng trung tr\u1ef1c trong th\u1ef1c t\u1ebf<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Ngo\u00e0i vai tr\u00f2 trong c\u00e1c b\u00e0i to\u00e1n ch\u1ee9ng minh h\u00ecnh h\u1ecdc, \u0111\u01b0\u1eddng trung tr\u1ef1c c\u00f2n c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng th\u1ef1c ti\u1ec5n. Trong k\u1ef9 thu\u1eadt v\u00e0 x\u00e2y d\u1ef1ng, nguy\u00ean l\u00fd &#8220;c\u00e1ch \u0111\u1ec1u hai \u0111i\u1ec3m&#8221; c\u1ee7a \u0111\u01b0\u1eddng trung tr\u1ef1c \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh v\u1ecb tr\u00ed \u0111\u1eb7t m\u1ed9t c\u00f4ng tr\u00ecnh sao cho kho\u1ea3ng c\u00e1ch t\u1edbi hai \u0111\u1ecba \u0111i\u1ec3m cho tr\u01b0\u1edbc b\u1eb1ng nhau, v\u00ed d\u1ee5 nh\u01b0 \u0111\u1eb7t tr\u1ea1m ph\u00e1t s\u00f3ng \u1edf gi\u1eefa hai khu d\u00e2n c\u01b0. Trong \u0111\u1ed3 h\u1ecda v\u00e0 thi\u1ebft k\u1ebf, vi\u1ec7c d\u1ef1ng \u0111\u01b0\u1eddng trung tr\u1ef1c gi\u00fap t\u1ea1o ra c\u00e1c h\u00ecnh \u0111\u1ed1i x\u1ee9ng ch\u00ednh x\u00e1c. \u0110\u00e2y c\u0169ng l\u00e0 n\u1ec1n t\u1ea3ng \u0111\u1ec3 d\u1ef1ng \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp \u2014 m\u1ed9t thao t\u00e1c quan tr\u1ecdng trong v\u1ebd k\u1ef9 thu\u1eadt v\u00e0 thi\u1ebft k\u1ebf c\u01a1 kh\u00ed.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e1c c\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p (FAQ)<\/b><\/h2>\n<h3 style=\"text-align: justify;\"><b>M\u1ed9t \u0111o\u1ea1n th\u1eb3ng c\u00f3 bao nhi\u00eau \u0111\u01b0\u1eddng trung tr\u1ef1c?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">M\u1ed9t \u0111o\u1ea1n th\u1eb3ng ch\u1ec9 c\u00f3 duy nh\u1ea5t m\u1ed9t \u0111\u01b0\u1eddng trung tr\u1ef1c, v\u00ec tr\u00ean m\u1ed9t \u0111o\u1ea1n th\u1eb3ng ch\u1ec9 c\u00f3 m\u1ed9t trung \u0111i\u1ec3m duy nh\u1ea5t v\u00e0 qua trung \u0111i\u1ec3m \u0111\u00f3 ch\u1ec9 k\u1ebb \u0111\u01b0\u1ee3c m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng duy nh\u1ea5t vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng ban \u0111\u1ea7u.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>\u0110\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng c\u00f3 ph\u1ea3i l\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng kh\u00f4ng?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">\u0110\u00fang. \u0110\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng ch\u00ednh l\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u0111\u00f3. Khi ta g\u1ea5p h\u00ecnh theo \u0111\u01b0\u1eddng trung tr\u1ef1c, hai \u0111\u1ea7u m\u00fat c\u1ee7a \u0111o\u1ea1n th\u1eb3ng s\u1ebd tr\u00f9ng kh\u00edt l\u00ean nhau.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>T\u00e2m \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp tam gi\u00e1c l\u00e0 giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">T\u00e2m \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp tam gi\u00e1c l\u00e0 giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng trung tr\u1ef1c trong tam gi\u00e1c \u0111\u00f3. \u0110i\u1ec3m n\u00e0y c\u00f3 t\u00ednh ch\u1ea5t c\u00e1ch \u0111\u1ec1u c\u1ea3 ba \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>\u0110\u01b0\u1eddng trung tr\u1ef1c v\u00e0 \u0111\u01b0\u1eddng trung tuy\u1ebfn c\u00f3 gi\u1ed1ng nhau kh\u00f4ng?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Kh\u00f4ng gi\u1ed1ng nhau. \u0110\u01b0\u1eddng trung tuy\u1ebfn n\u1ed1i m\u1ed9t \u0111\u1ec9nh v\u1edbi trung \u0111i\u1ec3m c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u00e0 kh\u00f4ng nh\u1ea5t thi\u1ebft vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh \u0111\u00f3, c\u00f2n \u0111\u01b0\u1eddng trung tr\u1ef1c \u0111i qua trung \u0111i\u1ec3m v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng nh\u01b0ng kh\u00f4ng nh\u1ea5t thi\u1ebft \u0111i qua \u0111\u1ec9nh. Ch\u00fang ch\u1ec9 tr\u00f9ng nhau trong tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t nh\u01b0 tam gi\u00e1c c\u00e2n (\u1ee9ng v\u1edbi c\u1ea1nh \u0111\u00e1y) ho\u1eb7c tam gi\u00e1c \u0111\u1ec1u.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>K\u1ebft lu\u1eadn<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">T\u00f3m l\u1ea1i, \u0111\u01b0\u1eddng trung tr\u1ef1c l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc c\u01a1 b\u1ea3n nh\u01b0ng c\u00f3 vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n v\u1ec1 tam gi\u00e1c, \u0111\u01b0\u1eddng tr\u00f2n v\u00e0 d\u1ef1ng h\u00ecnh. Vi\u1ec7c n\u1eafm v\u1eefng kh\u00e1i ni\u1ec7m, t\u00ednh ch\u1ea5t, \u0111\u1ecbnh l\u00fd c\u00f9ng c\u00e1ch v\u1eadn d\u1ee5ng qua c\u00e1c b\u00e0i t\u1eadp s\u1ebd gi\u00fap b\u1ea1n h\u1ecdc t\u1ed1t h\u01a1n v\u00e0 n\u00e2ng cao k\u1ef9 n\u0103ng t\u01b0 duy h\u00ecnh h\u1ecdc.<\/span><\/p>\n<p style=\"text-align: justify;\"><b>Xem th\u00eam:<\/b><\/p>\n<ul>\n<li>\n<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tap-hop-z-khai-niem-dac-diem-va-ung-dung-cua-so-nguyen-trong-toan-hoc\/\">T\u1eadp h\u1ee3p Z: Kh\u00e1i ni\u1ec7m, \u0111\u1eb7c \u0111i\u1ec3m v\u00e0 \u1ee9ng d\u1ee5ng c\u1ee7a s\u1ed1 nguy\u00ean trong to\u00e1n h\u1ecdc<\/a><\/p>\n<\/li>\n<li>\n<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-huu-ti-la-gi\/\">S\u1ed1 h\u1eefu t\u1ec9 l\u00e0 g\u00ec? S\u1ed1 v\u00f4 t\u1ec9 l\u00e0 g\u00ec? \u0110\u1eb7c tr\u01b0ng c\u1ee7a c\u00e1c s\u1ed1 trong To\u00e1n h\u1ecdc<\/a><\/p>\n<\/li>\n<\/ul>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [\n    {\n      \"@type\": \"Question\",\n      \"name\": \"M\u1ed9t \u0111o\u1ea1n th\u1eb3ng c\u00f3 bao nhi\u00eau \u0111\u01b0\u1eddng trung tr\u1ef1c?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"M\u1ed9t \u0111o\u1ea1n th\u1eb3ng ch\u1ec9 c\u00f3 duy nh\u1ea5t m\u1ed9t \u0111\u01b0\u1eddng trung tr\u1ef1c, v\u00ec tr\u00ean m\u1ed9t \u0111o\u1ea1n th\u1eb3ng ch\u1ec9 c\u00f3 m\u1ed9t trung \u0111i\u1ec3m duy nh\u1ea5t v\u00e0 qua trung \u0111i\u1ec3m \u0111\u00f3 ch\u1ec9 k\u1ebb \u0111\u01b0\u1ee3c m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng duy nh\u1ea5t vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng ban \u0111\u1ea7u.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"\u0110\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng c\u00f3 ph\u1ea3i l\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng kh\u00f4ng?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"\u0110\u00fang. \u0110\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng ch\u00ednh l\u00e0 tr\u1ee5c \u0111\u1ed1i x\u1ee9ng c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u0111\u00f3. Khi ta g\u1ea5p h\u00ecnh theo \u0111\u01b0\u1eddng trung tr\u1ef1c, hai \u0111\u1ea7u m\u00fat c\u1ee7a \u0111o\u1ea1n th\u1eb3ng s\u1ebd tr\u00f9ng kh\u00edt l\u00ean nhau.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"T\u00e2m \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp tam gi\u00e1c l\u00e0 giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng g\u00ec?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"T\u00e2m \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp tam gi\u00e1c l\u00e0 giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng trung tr\u1ef1c trong tam gi\u00e1c \u0111\u00f3. \u0110i\u1ec3m n\u00e0y c\u00f3 t\u00ednh ch\u1ea5t c\u00e1ch \u0111\u1ec1u c\u1ea3 ba \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"\u0110\u01b0\u1eddng trung tr\u1ef1c v\u00e0 \u0111\u01b0\u1eddng trung tuy\u1ebfn c\u00f3 gi\u1ed1ng nhau kh\u00f4ng?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Kh\u00f4ng gi\u1ed1ng nhau. \u0110\u01b0\u1eddng trung tuy\u1ebfn n\u1ed1i m\u1ed9t \u0111\u1ec9nh v\u1edbi trung \u0111i\u1ec3m c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u00e0 kh\u00f4ng nh\u1ea5t thi\u1ebft vu\u00f4ng g\u00f3c v\u1edbi c\u1ea1nh \u0111\u00f3, c\u00f2n \u0111\u01b0\u1eddng trung tr\u1ef1c \u0111i qua trung \u0111i\u1ec3m v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng nh\u01b0ng kh\u00f4ng nh\u1ea5t thi\u1ebft \u0111i qua \u0111\u1ec9nh. Ch\u00fang ch\u1ec9 tr\u00f9ng nhau trong tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t nh\u01b0 tam gi\u00e1c c\u00e2n (\u1ee9ng v\u1edbi c\u1ea1nh \u0111\u00e1y) ho\u1eb7c tam gi\u00e1c \u0111\u1ec1u.\"\n      }\n    }\n  ]\n}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0110\u01b0\u1eddng trung tr\u1ef1c l\u00e0 g\u00ec? Trong h\u00ecnh h\u1ecdc ph\u1eb3ng, \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng \u0111\u00f3 t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a n\u00f3. B\u1ea5t k\u1ef3 m\u1ed9t \u0111i\u1ec3m n\u00e0o n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng trung tr\u1ef1c \u0111\u1ec1u c\u00f3 t\u00ednh ch\u1ea5t \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00e1ch \u0111\u1ec1u hai \u0111\u1ea7u m\u00fat c\u1ee7a \u0111o\u1ea1n th\u1eb3ng [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":566765,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"\u0111\u01b0\u1eddng trung tr\u1ef1c","_yoast_wpseo_title":"\u0110\u01b0\u1eddng Trung Tr\u1ef1c L\u00e0 G\u00ec? T\u00ednh Ch\u1ea5t & \u0110\u1ecbnh L\u00fd To\u00e1n D\u1ec5 Hi\u1ec3u","_yoast_wpseo_metadesc":"\u0110\u01b0\u1eddng trung tr\u1ef1c l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng t\u1ea1i trung \u0111i\u1ec3m. 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