{"id":1079,"date":"2021-10-08T13:11:07","date_gmt":"2021-10-08T13:11:07","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=1079"},"modified":"2021-10-14T22:10:33","modified_gmt":"2021-10-14T15:10:33","slug":"giai-he-phuong-trinh-bang-phuong-phap-cong-dai-so-cung-toppy","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/giai-he-phuong-trinh-bang-phuong-phap-cong-dai-so-cung-toppy\/","title":{"rendered":"Gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong to\u00e1n h\u1ecdc, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c r\u1ea5t quan tr\u1ecdng m\u00e0 <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a> c\u1ea7n ph\u1ea3i ti\u1ebfp c\u1eadn t\u1eeb r\u1ea5t s\u1edbm. Th\u00f4ng qua b\u00e0i vi\u1ebft sau \u0111\u00e2y, c\u00e1c b\u1ea1n s\u1ebd \u0111\u01b0\u1ee3c t\u00ecm hi\u1ec3u v\u1ec1 c\u00e1ch \u0111\u1ec3 gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 v\u00e0 nh\u1eefng v\u1ea5n \u0111\u1ec1 li\u00ean quan \u0111\u1ebfn h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh c\u00f9ng Vietlearn.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Th\u1ebf n\u00e0o l\u00e0 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c r\u1ea5t quan tr\u1ecdng trong To\u00e1n h\u1ecdc, \u0111\u00e2y l\u00e0 thu\u1eadt ng\u1eef d\u00f9ng \u0111\u1ec3 ch\u1ec9 m\u1ed9t t\u1eadp h\u1ee3p h\u1eefu h\u1ea1n c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh. Nh\u1eefng ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y \u0111\u1ec1u c\u1ea7n t\u00ecm nghi\u1ec7m chung. M\u1ed9t s\u1ed1 lo\u1ea1i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh th\u01b0\u1eddng th\u1ea5y:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh tuy\u1ebfn t\u00ednh v\u00e0 phi tuy\u1ebfn t\u00ednh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh song tuy\u1ebfn t\u00ednh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n v\u00e0 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh \u0111a th\u1ee9c.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 m\u1ed9t t\u1eadp h\u1ee3p h\u1eefu h\u1ea1n c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n l\u00e0 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng ax + by = c v\u00e0 a\u2019x + b\u2019y = c\u2019. Khi hai ph\u01b0\u01a1ng tr\u00ecnh c\u1ee7a h\u1ec7 c\u00f3 nghi\u1ec7m chung th\u00ec nghi\u1ec7m chung n\u00e0y c\u0169ng s\u1ebd l\u00e0 nghi\u1ec7m c\u1ee7a h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh, Khi hai ph\u01b0\u01a1ng tr\u00ecnh kh\u00f4ng c\u00f3 nghi\u1ec7m chung th\u00ec h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 v\u00f4 nghi\u1ec7m.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y th\u00ec a, b, c v\u00e0 a\u2019, b\u2019, c\u2019 l\u00e0 nh\u1eefng s\u1ed1 \u0111\u00e3 \u0111\u01b0\u1ee3c cho tr\u01b0\u1edbc \u0111\u1ec1u \u2208 R, ngo\u00e0i ra, c\u00e1c s\u1ed1 a v\u00e0 b c\u00f9ng c\u00e1c s\u1ed1 a\u2019 v\u00e0 b\u2019 \u0111\u1ec1u kh\u00f4ng \u0111\u1ed3ng th\u1eddi b\u1eb1ng 0.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 t\u00ecm nghi\u1ec7m cho h\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t 2 \u1ea9n, c\u00e1c b\u1ea1n c\u1ea7n ph\u1ea3i n\u1eafm \u0111\u01b0\u1ee3c nh\u1eefng l\u00fd thuy\u1ebft sau: V\u1edbi t\u00edch a\u2019b\u2019c\u2019 = 0 th\u00ec c\u00f3 th\u1ec3 \u0111\u01b0a h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh v\u1ec1 nh\u1eefng tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ng\u01b0\u1ee3c l\u1ea1i, khi a\u2019b\u2019c\u2019 \u2260 0 th\u00ec ta x\u00e9t nh\u1eefng tr\u01b0\u1eddng h\u1ee3p sau \u0111\u00e2y:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh ch\u1ec9 c\u00f3 m\u1ed9t nghi\u1ec7m duy nh\u1ea5t khi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m khi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 v\u00f4 s\u1ed1 nghi\u1ec7m khi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 minh h\u1ecda cho t\u1eadp nghi\u1ec7m c\u1ee7a h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n, ta g\u1ecdi (d): ax + by = c v\u00e0 (d\u2019): a\u2019x + b\u2019y = c\u2019, ta s\u1ebd c\u00f3 nh\u1eefng tr\u01b0\u1eddng h\u1ee3p sau \u0111\u00e2y:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(d) \/\/ (d\u2019) h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(d) c\u1eaft (d\u2019) h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh ch\u1ec9 c\u00f3 m\u1ed9t nghi\u1ec7m duy nh\u1ea5t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(d) \u2630 (d\u2019) h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 v\u00f4 s\u1ed1 nghi\u1ec7m.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u1ebfu m\u1ed9t h\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 c\u00f9ng m\u1ed9t t\u1eadp nghi\u1ec7m th\u00ec s\u1ebd \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi nhau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1ed5ng quan v\u1ec1 ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 l\u00e0 m\u1ed9t c\u00e1ch gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh r\u1ea5t c\u01a1 b\u1ea3n trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc. To\u00e1n 9 gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 l\u00e0 ki\u1ebfn th\u1ee9c n\u1ec1n t\u1ea3ng \u0111\u1ec3 c\u00e1c b\u1ea1n <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">h\u1ecdc sinh<\/a> c\u00f3 th\u1ec3 ti\u1ebfp c\u1eadn v\u1edbi nhi\u1ec1u h\u1ec7 ph\u1ee9c t\u1ea1p h\u01a1n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u1ed9ng \u0111\u1ea1i s\u1ed1 l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 bi\u1ebfn \u0111\u1ed5i m\u1ed9t h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh cho tr\u01b0\u1edbc th\u00e0nh m\u1ed9t h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng \u0111\u01b0\u01a1ng, t\u1eeb \u0111\u00f3 gi\u00fap cho vi\u1ec7c gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh tr\u1edf n\u00ean d\u1ec5 d\u00e0ng h\u01a1n. Ngo\u00e0i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh, ng\u01b0\u1eddi ta c\u00f2n \u00e1p d\u1ee5ng gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quy t\u1eafc c\u1ed9ng \u0111\u1ea1i s\u1ed1 \u0111\u1ec3 bi\u1ebfn \u0111\u1ed5i th\u00e0nh m\u1ed9t h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng \u0111\u01b0\u01a1ng l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p bao g\u1ed3m 2 b\u01b0\u1edbc :<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 1: C\u1ed9ng ho\u1eb7c tr\u1eeb t\u1eebng v\u1ebf c\u1ee7a 2 ph\u01b0\u01a1ng tr\u00ecnh trong h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh \u0111\u00e3 \u0111\u01b0\u1ee3c cho tr\u01b0\u1edbc \u0111\u1ec3 t\u1ea1o n\u00ean m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh m\u1edbi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 2: S\u1eed d\u1ee5ng ph\u01b0\u01a1ng tr\u00ecnh m\u1edbi \u0111\u00e3 \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh \u0111\u1ec3 thay th\u1ebf cho m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh trong h\u1ec7 \u0111\u00e3 cho tr\u01b0\u1edbc, \u0111\u1ed3ng th\u1eddi gi\u1eef nguy\u00ean ph\u01b0\u01a1ng tr\u00ecnh c\u00f2n l\u1ea1i ta s\u1ebd c\u00f3 \u0111\u01b0\u1ee3c m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh m\u1edbi t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 s\u1eb5n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 gi\u00fap bi\u1ebfn \u0111\u1ed5i m\u1ed9t h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng \u0111\u01b0\u01a1ng<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1ch gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 bao g\u1ed3m 3 b\u01b0\u1edbc:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 1: B\u01b0\u1edbc \u0111\u1ea7u ti\u00ean khi gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 l\u00e0 nh\u00e2n c\u00e1c v\u1ebf c\u00f3 trong h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh v\u1edbi m\u1ed9t s\u1ed1 ph\u00f9 h\u1ee3p, sao cho xu\u1ea5t hi\u1ec7n h\u1ec7 s\u1ed1 c\u1ee7a 1 \u1ea9n b\u1ea5t k\u1ef3 trong h\u1ec7 ph\u1ea3i b\u1eb1ng ho\u1eb7c \u0111\u1ed1i nhau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 2: \u00c1p d\u1ee5ng quy t\u1eafc c\u1ed9ng \u0111\u1ea1i s\u1ed1 \u0111\u1ec3 xu\u1ea5t hi\u1ec7n m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh m\u1edbi, trong 2 ph\u01b0\u01a1ng tr\u00ecnh \u0111\u00f3 ph\u1ea3i c\u00f3 1 ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 h\u1ec7 s\u1ed1 c\u1ee7a 1 trong 2 \u1ea9n b\u1eb1ng 0. Nh\u01b0 v\u1eady, ph\u01b0\u01a1ng tr\u00ecnh s\u1ebd \u0111\u01b0\u1ee3c \u0111\u01b0a v\u1ec1 d\u1ea1ng ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u01b0\u1edbc 3: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n \u0111\u00e3 \u0111\u01b0\u1ee3c \u0111\u01b0a v\u1ec1 \u1edf b\u01b0\u1edbc 2 v\u00e0 t\u00ecm nghi\u1ec7m, sau \u0111\u00f3 \u0111\u01b0a ra k\u1ebft lu\u1eadn cho b\u00e0i to\u00e1n.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 qua 3 b\u01b0\u1edbc<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p> Gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p th\u1ebf<\/p><\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">N\u00ean s\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p th\u1ebf hay ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\u00ean c\u1ea1nh gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1, ph\u01b0\u01a1ng ph\u00e1p th\u1ebf c\u0169ng r\u1ea5t th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng khi gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh. Ph\u01b0\u01a1ng ph\u00e1p th\u1ebf l\u00e0 ph\u01b0\u01a1ng ph\u00e1p \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 bi\u1ebfn \u0111\u1ed5i m\u1ed9t h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh \u0111\u00e3 cho th\u00e0nh m\u1ed9t h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh m\u1edbi c\u00f3 ch\u1ee9a ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n, sau \u0111\u00f3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n \u0111\u1ec3 suy ra nghi\u1ec7m c\u1ee7a h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00f9y v\u00e0o ki\u1ebfn th\u1ee9c v\u00e0 s\u1ef1 th\u00e0nh th\u1ea1o \u0111\u1ed1i v\u1edbi nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i kh\u00e1c nhau m\u00e0 b\u1ea1n s\u1ebd l\u1ef1a ch\u1ecdn \u0111\u01b0\u1ee3c c\u00e1ch gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh ph\u00f9 h\u1ee3p. Ngo\u00e0i ra, vi\u1ec7c x\u00e9t \u0111i\u1ec1u ki\u1ec7n v\u00e0 nh\u1eefng tr\u01b0\u1eddng h\u1ee3p m\u00e0 \u0111\u1ec1 b\u00e0i \u0111\u01b0a ra c\u0169ng s\u1ebd gi\u00fap b\u1ea1n l\u1ef1a ch\u1ecdn vi\u1ec7c gi\u1ea3i b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p th\u1ebf hay ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c v\u00f4 c\u00f9ng quan tr\u1ecdng \u0111\u1ed1i v\u1edbi ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc. \u0110\u1ec3 t\u00ecm hi\u1ec3u th\u00eam nhi\u1ec1u d\u1ea1ng ph\u01b0\u01a1ng tr\u00ecnh c\u0169ng nh\u01b0 c\u00e1c c\u00e1ch gi\u1ea3i kh\u00e1c nhau, h\u00e3y truy c\u1eadp ngay v\u00e0o trang web Vietlearn.org\/ c\u00e1c b\u1ea1n nh\u00e9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00ecm hi\u1ec3u th\u00eam:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Gi\u1ea3i b\u00e0i to\u00e1n b\u1eb1ng c\u00e1ch l\u1eadp h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n \u2013 H\u1ecdc t\u1ed1t To\u00e1n c\u00f9ng Vietlearn<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ph<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn Trong to\u00e1n h\u1ecdc, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 m\u1ed9t ki\u1ebfn th\u1ee9c r\u1ea5t quan tr\u1ecdng m\u00e0 h\u1ecdc sinh c\u1ea7n ph\u1ea3i ti\u1ebfp c\u1eadn t\u1eeb r\u1ea5t s\u1edbm. Th\u00f4ng qua b\u00e0i vi\u1ebft sau \u0111\u00e2y, c\u00e1c b\u1ea1n s\u1ebd \u0111\u01b0\u1ee3c t\u00ecm hi\u1ec3u v\u1ec1 c\u00e1ch \u0111\u1ec3 gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1 v\u00e0 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[9],"tags":[],"class_list":["post-1079","post","type-post","status-publish","format-standard","hentry","category-toan-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1079","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=1079"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1079\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}