{"id":567248,"date":"2026-07-22T09:20:51","date_gmt":"2026-07-22T02:20:51","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567248"},"modified":"2026-07-22T11:00:38","modified_gmt":"2026-07-22T04:00:38","slug":"he-phuong-trinh","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/he-phuong-trinh\/","title":{"rendered":"H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec? C\u00e1ch gi\u1ea3i b\u1eb1ng th\u1ebf v\u00e0 c\u1ed9ng \u0111\u1ea1i s\u1ed1"},"content":{"rendered":"<p style=\"text-align: justify;\"><b>H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/b><span style=\"font-weight: 400;\"> l\u00e0 t\u1eadp h\u1ee3p g\u1ed3m hai hay nhi\u1ec1u ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 chung c\u00e1c \u1ea9n s\u1ed1; nghi\u1ec7m c\u1ee7a h\u1ec7 l\u00e0 b\u1ed9 gi\u00e1 tr\u1ecb c\u00e1c \u1ea9n th\u1ecfa m\u00e3n \u0111\u1ed3ng th\u1eddi t\u1ea5t c\u1ea3 c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh trong h\u1ec7. H\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n l\u00e0 d\u1ea1ng c\u01a1 b\u1ea3n nh\u1ea5t, th\u01b0\u1eddng \u0111\u01b0\u1ee3c gi\u1ea3i b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p th\u1ebf ho\u1eb7c ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c quan tr\u1ecdng c\u1ee7a To\u00e1n l\u1edbp 9. B\u00e0i vi\u1ebft n\u00e0y tr\u00ecnh b\u00e0y c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec, ph\u01b0\u01a1ng ph\u00e1p th\u1ebf, ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng, v\u00ed d\u1ee5 v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec?<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">H\u1ec7 c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n g\u1ed3m hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t v\u1edbi hai \u1ea9n x v\u00e0 y, c\u00f3 d\u1ea1ng t\u1ed5ng qu\u00e1t: ax + by = c v\u00e0 a&#8217;x + b&#8217;y = c&#8217;. Nghi\u1ec7m c\u1ee7a h\u1ec7 l\u00e0 c\u1eb7p s\u1ed1 (x; y) th\u1ecfa m\u00e3n \u0111\u1ed3ng th\u1eddi c\u1ea3 hai ph\u01b0\u01a1ng tr\u00ecnh. M\u1ed9t h\u1ec7 c\u00f3 th\u1ec3 c\u00f3 m\u1ed9t nghi\u1ec7m duy nh\u1ea5t, v\u00f4 s\u1ed1 nghi\u1ec7m ho\u1eb7c v\u00f4 nghi\u1ec7m.<\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-568678\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-1.jpg\" alt=\"he-phuong-trinh-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>Ph\u01b0\u01a1ng ph\u00e1p th\u1ebf<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Ph\u01b0\u01a1ng ph\u00e1p th\u1ebf l\u00e0 m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i h\u1ec7 c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng c\u00e1ch bi\u1ebfn \u0111\u1ed5i m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 bi\u1ec3u di\u1ec5n m\u1ed9t \u1ea9n theo \u1ea9n c\u00f2n l\u1ea1i, sau \u0111\u00f3 thay th\u1ebf v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh kia \u0111\u1ec3 \u0111\u01b0a h\u1ec7 v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh ch\u1ec9 ch\u1ee9a m\u1ed9t \u1ea9n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">C\u00e1c b\u01b0\u1edbc th\u1ef1c hi\u1ec7n ph\u01b0\u01a1ng ph\u00e1p th\u1ebf:<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: Ch\u1ecdn m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh trong h\u1ec7 v\u00e0 bi\u1ebfn \u0111\u1ed5i \u0111\u1ec3 bi\u1ec3u di\u1ec5n m\u1ed9t \u1ea9n theo \u1ea9n c\u00f2n l\u1ea1i.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: Thay bi\u1ec3u th\u1ee9c v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh c\u00f2n l\u1ea1i c\u1ee7a h\u1ec7, t\u1eeb \u0111\u00f3 thu \u0111\u01b0\u1ee3c ph\u01b0\u01a1ng tr\u00ecnh ch\u1ec9 c\u00f3 m\u1ed9t \u1ea9n.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 3: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c, sau \u0111\u00f3 thay gi\u00e1 tr\u1ecb c\u1ee7a \u1ea9n \u0111\u00f3 v\u00e0o bi\u1ec3u th\u1ee9c \u1edf b\u01b0\u1edbc 1 \u0111\u1ec3 t\u00ecm \u1ea9n c\u00f2n l\u1ea1i.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">V\u1eady, nghi\u1ec7m c\u1ee7a <\/span><b>h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/b><span style=\"font-weight: 400;\"> l\u00e0 c\u1eb7p gi\u00e1 tr\u1ecb c\u1ee7a hai \u1ea9n th\u1ecfa m\u00e3n \u0111\u1ed3ng th\u1eddi c\u1ea3 hai ph\u01b0\u01a1ng tr\u00ecnh ban \u0111\u1ea7u.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>Ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Ph\u1ea7n n\u00e0y gi\u00fap ng\u01b0\u1eddi h\u1ecdc l\u00e0m quen v\u1edbi c\u00e1ch bi\u1ebfn \u0111\u1ed5i, k\u1ebft h\u1ee3p c\u00e1c bi\u1ec3u th\u1ee9c v\u00e0 v\u1eadn d\u1ee5ng c\u00e1c quy t\u1eafc to\u00e1n h\u1ecdc m\u1ed9t c\u00e1ch linh ho\u1ea1t \u0111\u1ec3 x\u1eed l\u00fd b\u00e0i to\u00e1n. N\u1ed9i dung \u0111\u01b0\u1ee3c tr\u00ecnh b\u00e0y theo h\u01b0\u1edbng t\u1ed5ng quan, gi\u00fap x\u00e2y d\u1ef1ng n\u1ec1n t\u1ea3ng ki\u1ebfn th\u1ee9c v\u00e0 h\u1ed7 tr\u1ee3 qu\u00e1 tr\u00ecnh h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3 h\u01a1n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: Nh\u00e2n hai v\u1ebf c\u1ee7a m\u1ed7i ph\u01b0\u01a1ng tr\u00ecnh v\u1edbi s\u1ed1 th\u00edch h\u1ee3p (n\u1ebfu c\u1ea7n) \u0111\u1ec3 h\u1ec7 s\u1ed1 c\u1ee7a m\u1ed9t \u1ea9n trong hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eb1ng nhau ho\u1eb7c \u0111\u1ed1i nhau.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: C\u1ed9ng ho\u1eb7c tr\u1eeb t\u1eebng v\u1ebf hai ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 kh\u1eed m\u1ed9t \u1ea9n, \u0111\u01b0\u1ee3c ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 3: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh m\u1ed9t \u1ea9n r\u1ed3i t\u00ecm \u1ea9n c\u00f2n l\u1ea1i.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-568679\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-2.jpg\" alt=\"he-phuong-trinh-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">V\u00ed d\u1ee5 1 (ph\u01b0\u01a1ng ph\u00e1p th\u1ebf): Gi\u1ea3i h\u1ec7 x + y = 5 v\u00e0 x \u2212 y = 1. T\u1eeb ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea7u: x = 5 \u2212 y; th\u1ebf v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh sau: (5 \u2212 y) \u2212 y = 1, n\u00ean 5 \u2212 2y = 1, y = 2, x = 3. Nghi\u1ec7m (3; 2).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">V\u00ed d\u1ee5 2 (ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng): Gi\u1ea3i h\u1ec7 2x + y = 7 v\u00e0 x \u2212 y = 2. C\u1ed9ng hai ph\u01b0\u01a1ng tr\u00ecnh: 3x = 9, x = 3; thay v\u00e0o: y = 1. Nghi\u1ec7m (3; 1).<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u00e0i 1: Gi\u1ea3i h\u1ec7 x + y = 10 v\u00e0 x \u2212 y = 4. L\u1eddi gi\u1ea3i: c\u1ed9ng hai ph\u01b0\u01a1ng tr\u00ecnh: 2x = 14, x = 7; suy ra y = 3. Nghi\u1ec7m (7; 3).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u00e0i 2: Gi\u1ea3i h\u1ec7 3x + 2y = 12 v\u00e0 x = 2. L\u1eddi gi\u1ea3i: th\u1ebf x = 2 v\u00e0o: 6 + 2y = 12, y = 3. Nghi\u1ec7m (2; 3).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u00e0i 3: Gi\u1ea3i h\u1ec7 2x + y = 5 v\u00e0 4x + 2y = 10. L\u1eddi gi\u1ea3i: ph\u01b0\u01a1ng tr\u00ecnh th\u1ee9 hai g\u1ea5p \u0111\u00f4i ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea7u, n\u00ean h\u1ec7 c\u00f3 v\u00f4 s\u1ed1 nghi\u1ec7m.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">B\u00e0i 4 (tr\u1eafc nghi\u1ec7m): Nghi\u1ec7m c\u1ee7a h\u1ec7 x + y = 6 v\u00e0 x \u2212 y = 2 l\u00e0 g\u00ec? A. (4; 2) B. (2; 4) C. (3; 3) D. (5; 1). \u0110\u00e1p \u00e1n: A, v\u00ec x = 4, y = 2.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-568680\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-3.jpg\" alt=\"he-phuong-trinh-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>Gi\u1ea3i b\u00e0i to\u00e1n b\u1eb1ng c\u00e1ch l\u1eadp h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/b><\/h2>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 1: Ch\u1ecdn c\u00e1c \u1ea9n c\u1ea7n t\u00ecm v\u00e0 \u0111\u1eb7t \u0111i\u1ec1u ki\u1ec7n th\u00edch h\u1ee3p cho c\u00e1c \u1ea9n \u0111\u00f3.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 2: Bi\u1ec3u di\u1ec5n c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng ch\u01b0a bi\u1ebft kh\u00e1c theo c\u00e1c \u1ea9n \u0111\u00e3 ch\u1ecdn, d\u1ef1a v\u00e0o m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c d\u1eef ki\u1ec7n trong b\u00e0i to\u00e1n. T\u1eeb \u0111\u00f3 l\u1eadp h\u1ec7 c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh m\u00f4 t\u1ea3 b\u00e0i to\u00e1n.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 3: Gi\u1ea3i<\/span><b> h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/b><span style=\"font-weight: 400;\"> v\u1eeba l\u1eadp \u0111\u1ec3 t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a c\u00e1c \u1ea9n.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">B\u01b0\u1edbc 4: Ki\u1ec3m tra c\u00e1c gi\u00e1 tr\u1ecb t\u00ecm \u0111\u01b0\u1ee3c c\u00f3 th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n ban \u0111\u1ea7u hay kh\u00f4ng, sau \u0111\u00f3 \u0111\u01b0a ra k\u1ebft lu\u1eadn ph\u00f9 h\u1ee3p v\u1edbi y\u00eau c\u1ea7u c\u1ee7a b\u00e0i to\u00e1n.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Ph\u01b0\u01a1ng ph\u00e1p n\u00e0y th\u01b0\u1eddng \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng \u0111\u1ec3 gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf li\u00ean quan \u0111\u1ebfn chuy\u1ec3n \u0111\u1ed9ng, n\u0103ng su\u1ea5t lao \u0111\u1ed9ng, t\u1ec9 l\u1ec7, ph\u1ea7n tr\u0103m, ho\u1eb7c t\u00ecm hai s\u1ed1 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>S\u1ed1 nghi\u1ec7m c\u1ee7a h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">X\u00e9t hai \u0111\u01b0\u1eddng th\u1eb3ng bi\u1ec3u di\u1ec5n hai ph\u01b0\u01a1ng tr\u00ecnh: n\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft nhau th\u00ec h\u1ec7 c\u00f3 m\u1ed9t nghi\u1ec7m duy nh\u1ea5t; n\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng song song th\u00ec h\u1ec7 v\u00f4 nghi\u1ec7m; n\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng tr\u00f9ng nhau th\u00ec h\u1ec7 c\u00f3 v\u00f4 s\u1ed1 nghi\u1ec7m. \u0110\u00e2y l\u00e0 \u00fd ngh\u0129a h\u00ecnh h\u1ecdc gi\u00fap hi\u1ec3u r\u00f5 v\u1ec1 nghi\u1ec7m c\u1ee7a h\u1ec7 c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-568681\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-4.jpg\" alt=\"he-phuong-trinh-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/07\/he-phuong-trinh-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh<\/b><\/h2>\n<h3 style=\"text-align: justify;\"><b>H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">L\u00e0 t\u1eadp h\u1ee3p hai hay nhi\u1ec1u ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 chung \u1ea9n s\u1ed1; nghi\u1ec7m th\u1ecfa m\u00e3n \u0111\u1ed3ng th\u1eddi t\u1ea5t c\u1ea3 c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00f3 m\u1ea5y ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Hai ph\u01b0\u01a1ng ph\u00e1p ch\u00ednh: ph\u01b0\u01a1ng ph\u00e1p th\u1ebf v\u00e0 ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>Ph\u01b0\u01a1ng ph\u00e1p th\u1ebf th\u1ef1c hi\u1ec7n th\u1ebf n\u00e0o?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Bi\u1ec3u di\u1ec5n m\u1ed9t \u1ea9n theo \u1ea9n kia r\u1ed3i th\u1ebf v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh c\u00f2n l\u1ea1i.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>Khi n\u00e0o h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Khi hai \u0111\u01b0\u1eddng th\u1eb3ng bi\u1ec3u di\u1ec5n hai ph\u01b0\u01a1ng tr\u00ecnh song song v\u1edbi nhau.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>Khi n\u00e0o h\u1ec7 c\u00f3 v\u00f4 s\u1ed1 nghi\u1ec7m?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Khi hai \u0111\u01b0\u1eddng th\u1eb3ng bi\u1ec3u di\u1ec5n hai ph\u01b0\u01a1ng tr\u00ecnh tr\u00f9ng nhau.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Ngo\u00e0i h\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t, b\u1ea1n s\u1ebd g\u1eb7p l\u1ea1i vi\u1ec7c l\u1eadp h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh khi t\u00ecm giao \u0111i\u1ec3m gi\u1eefa m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 m\u1ed9t <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/parabol\/\">parabol<\/a> \u1edf ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 10.<\/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,<\/span><b> h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh <\/b><span style=\"font-weight: 400;\">g\u1ed3m nhi\u1ec1u ph\u01b0\u01a1ng tr\u00ecnh chung \u1ea9n; h\u1ec7 b\u1eadc nh\u1ea5t hai \u1ea9n gi\u1ea3i b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p th\u1ebf ho\u1eb7c c\u1ed9ng \u0111\u1ea1i s\u1ed1. N\u1eafm v\u1eefng hai ph\u01b0\u01a1ng ph\u00e1p n\u00e0y gi\u00fap b\u1ea1n gi\u1ea3i nhanh v\u00e0 bi\u1ec7n lu\u1eadn s\u1ed1 nghi\u1ec7m c\u1ee7a h\u1ec7. \u0110\u1ec3 h\u1ecdc th\u00eam, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i<\/span><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tap-hop-so-nguyen-z-la-gi-giai-ma-toan-dien-ve-z-trong-toan-hoc\/\"> <span style=\"font-weight: 400;\">t\u1eadp h\u1ee3p s\u1ed1 nguy\u00ean Z l\u00e0 g\u00ec<\/span><\/a><span style=\"font-weight: 400;\">,<\/span><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-to-hop-chinh-hop\/\"> <span style=\"font-weight: 400;\">c\u00f4ng th\u1ee9c t\u1ed5 h\u1ee3p, ch\u1ec9nh h\u1ee3p<\/span><\/a><span style=\"font-weight: 400;\"> v\u00e0<\/span><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-tam-giac\/\"> <span style=\"font-weight: 400;\">c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c<\/span><\/a><span style=\"font-weight: 400;\"> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.\u00a0<\/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\/dien-tich-hinh-tron\/\">C\u00f4ng Th\u1ee9c T\u00ednh Di\u1ec7n T\u00edch H\u00ecnh Tr\u00f2n: C\u00e1ch T\u00ednh, V\u00ed D\u1ee5 &amp; B\u00e0i T\u1eadp<\/a><\/p>\n<\/li>\n<li>\n<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dinh-ly-cosin\/\">\u0110\u1ecbnh l\u00fd cosin l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c, ch\u1ee9ng minh v\u00e0 c\u00e1ch \u00e1p d\u1ee5ng chi ti\u1ebft<\/a><\/p>\n<\/li>\n<\/ul>\n<p><script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"L\u00e0 t\u1eadp h\u1ee3p hai hay nhi\u1ec1u ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 chung \u1ea9n s\u1ed1; nghi\u1ec7m th\u1ecfa m\u00e3n \u0111\u1ed3ng th\u1eddi t\u1ea5t c\u1ea3 c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh.\"}},{\"@type\":\"Question\",\"name\":\"C\u00f3 m\u1ea5y ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Hai ph\u01b0\u01a1ng ph\u00e1p ch\u00ednh: ph\u01b0\u01a1ng ph\u00e1p th\u1ebf v\u00e0 ph\u01b0\u01a1ng ph\u00e1p c\u1ed9ng \u0111\u1ea1i s\u1ed1.\"}},{\"@type\":\"Question\",\"name\":\"Ph\u01b0\u01a1ng ph\u00e1p th\u1ebf th\u1ef1c hi\u1ec7n th\u1ebf n\u00e0o?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Bi\u1ec3u di\u1ec5n m\u1ed9t \u1ea9n theo \u1ea9n kia r\u1ed3i th\u1ebf v\u00e0o ph\u01b0\u01a1ng tr\u00ecnh c\u00f2n l\u1ea1i.\"}},{\"@type\":\"Question\",\"name\":\"Khi n\u00e0o h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Khi hai \u0111\u01b0\u1eddng th\u1eb3ng bi\u1ec3u di\u1ec5n hai ph\u01b0\u01a1ng tr\u00ecnh song song v\u1edbi nhau.\"}},{\"@type\":\"Question\",\"name\":\"Khi n\u00e0o h\u1ec7 c\u00f3 v\u00f4 s\u1ed1 nghi\u1ec7m?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Khi hai \u0111\u01b0\u1eddng th\u1eb3ng bi\u1ec3u di\u1ec5n hai ph\u01b0\u01a1ng tr\u00ecnh tr\u00f9ng nhau.\"}}]}<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 t\u1eadp h\u1ee3p g\u1ed3m hai hay nhi\u1ec1u ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 chung c\u00e1c \u1ea9n s\u1ed1; nghi\u1ec7m c\u1ee7a h\u1ec7 l\u00e0 b\u1ed9 gi\u00e1 tr\u1ecb c\u00e1c \u1ea9n th\u1ecfa m\u00e3n \u0111\u1ed3ng th\u1eddi t\u1ea5t c\u1ea3 c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh trong h\u1ec7. H\u1ec7 hai ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n l\u00e0 d\u1ea1ng c\u01a1 b\u1ea3n nh\u1ea5t, th\u01b0\u1eddng \u0111\u01b0\u1ee3c gi\u1ea3i b\u1eb1ng ph\u01b0\u01a1ng [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":568677,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh","_yoast_wpseo_title":"H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh: c\u00e1ch gi\u1ea3i v\u00e0 v\u00ed d\u1ee5","_yoast_wpseo_metadesc":"H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec? H\u01b0\u1edbng d\u1eabn c\u00e1ch gi\u1ea3i b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p th\u1ebf v\u00e0 c\u1ed9ng \u0111\u1ea1i s\u1ed1, bi\u1ec7n lu\u1eadn s\u1ed1 nghi\u1ec7m k\u00e8m b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft.","footnotes":""},"categories":[29235,3910,30453],"tags":[],"class_list":["post-567248","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh: c\u00e1ch gi\u1ea3i v\u00e0 v\u00ed d\u1ee5<\/title>\n<meta name=\"description\" content=\"H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 g\u00ec? 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