{"id":294651,"date":"2023-12-19T11:21:17","date_gmt":"2023-12-19T04:21:17","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=294651"},"modified":"2023-12-19T11:21:17","modified_gmt":"2023-12-19T04:21:17","slug":"dau-hieu-nhan-biet-tu-giac-noi-tiep","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/","title":{"rendered":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1"},"content":{"rendered":"<p><b>D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\"> l\u00e0 m\u1ed9t trong nh\u1eefng n\u1ed9i dung m\u00e0 c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 9 c\u1ea7n n\u1eafm \u0111\u01b0\u1ee3c \u0111\u1ec3 chu\u1ea9n b\u1ecb cho k\u1ef3 thi quan tr\u1ecdng. V\u1eady t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? M\u1eddi c\u00e1c b\u1ea1n theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 c\u00f3 th\u00f4ng tin chi ti\u1ebft nh\u00e9!\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">T\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec?\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">T\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp hay c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 h\u00ecnh t\u1ee9 gi\u00e1c c\u00f3 b\u1ed1n \u0111\u1ec9nh n\u1eb1m tr\u00ean m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n. Trong \u0111\u00f3, c\u00e1c \u0111\u1ec9nh c\u1ee7a t\u1ee9 gi\u00e1c n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n g\u1ecdi l\u00e0 \u0111\u1ed3ng vi\u00ean v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n g\u1ecdi l\u00e0 \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-295861 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-2.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u1ecbnh l\u00fd thu\u1eadn v\u1ec1 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp: Trong m\u1ed9t t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp s\u1ebd c\u00f3 t\u1ed5ng s\u1ed1 \u0111o hai g\u00f3c \u0111\u1ed1i di\u1ec7n b\u1eb1ng 180 \u0111\u1ed9.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B\u00ean c\u1ea1nh \u0111\u1ecbnh l\u00fd thu\u1eadn, t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp c\u00f2n c\u00f3 \u0111\u1ecbnh l\u00fd \u0111\u1ea3o nh\u01b0 sau: N\u1ebfu m\u1ed9t h\u00ecnh t\u1ee9 gi\u00e1c c\u00f3 t\u1ed5ng s\u1ed1 \u0111o hai g\u00f3c \u0111\u1ed1i di\u1ec7n b\u1eb1ng 180 \u0111\u1ed9 th\u00ec t\u1ee9 gi\u00e1c \u0111\u00f3 l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">T\u00ednh ch\u1ea5t c\u1ee7a t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Sau khi n\u1eafm \u0111\u01b0\u1ee3c \u0111\u1ecbnh l\u00fd thu\u1eadn, \u0111\u1ecbnh l\u00fd \u0111\u1ea3o, c\u00e1c b\u1ea1n c\u1ea7n hi\u1ec3u \u0111\u01b0\u1ee3c t\u00ednh ch\u1ea5t, <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\">. Nh\u1eefng t\u00ednh ch\u1ea5t n\u00e0y s\u1ebd gi\u00fap c\u00e1c b\u1ea1n v\u1eadn d\u1ee5ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n li\u00ean quan. C\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp c\u1ee5 th\u1ec3 nh\u01b0 sau:\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Theo \u0111\u1ecbnh l\u00fd, trong h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp s\u1ebd c\u00f3 hai g\u00f3c \u0111\u1ed1i di\u1ec7n b\u1eb1ng 180 \u0111\u1ed9.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp c\u00f3 g\u00f3c ngo\u00e0i t\u1ea1i m\u1ed9t \u0111\u1ec9nh b\u1eb1ng g\u00f3c trong c\u1ee7a \u0111\u1ec9nh \u0111\u1ed1i di\u1ec7n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">M\u1ecdi tam gi\u00e1c d\u00f9 l\u00e0 tam gi\u00e1c th\u01b0\u1eddng, tam gi\u00e1c vu\u00f4ng, c\u00e2n th\u00ec \u0111\u1ec1u c\u00f3 \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp c\u00f3 b\u1ed1n \u0111\u1ec9nh c\u00e1ch \u0111\u1ec1u m\u1ed9t \u0111i\u1ec3m trung t\u00e2m \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00e2m c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp t\u1ee9 gi\u00e1c.\u00a0<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">C\u00f3 nh\u1eefng d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp n\u00e0o?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Trong m\u00f4n to\u00e1n h\u00ecnh h\u1ecdc l\u1edbp 9, t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 m\u1ed9t n\u1ed9i dung quan tr\u1ecdng m\u00e0 c\u00e1c b\u1ea1n h\u1ecdc sinh c\u1ea7n n\u1eafm \u0111\u01b0\u1ee3c. D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp g\u1ed3m:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u1ee9 gi\u00e1c c\u00f3 b\u1ed1n \u0111\u1ec9nh c\u00e1ch \u0111\u1ec1u m\u1ed9t \u0111i\u1ec3m c\u1ed1 \u0111\u1ecbnh t\u1ee9c l\u00e0 t\u1ed3n t\u1ea1i \u0111i\u1ec3m O sau cho OA = OB = OC = OD.\u00a0\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">M\u1ed9t h\u00ecnh t\u1ee9 gi\u00e1c c\u00f3 hai g\u00f3c \u0111\u1ed1i t\u1ed5ng b\u1eb1ng 180 \u0111\u1ed9.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">M\u1ed9t h\u00ecnh t\u1ee9 gi\u00e1c c\u00f3 g\u00f3c ngo\u00e0i t\u1ea1i m\u1ed9t \u0111\u1ec9nh b\u1eb1ng g\u00f3c trong c\u1ee7a \u0111\u1ec9nh \u0111\u1ed1i di\u1ec7n l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-weight: 400;\">Ch\u1ee9ng minh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp nh\u01b0 th\u1ebf n\u00e0o?<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 ch\u1ee9ng minh h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp c\u00f3 r\u1ea5t nhi\u1ec1u c\u00e1ch d\u1ef1a tr\u00ean t\u00ednh ch\u1ea5t, <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\">. Sau \u0111\u00e2y, ch\u00fang t\u00f4i s\u1ebd chia s\u1ebb nh\u1eefng c\u00e1ch ch\u1ee9ng minh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp d\u1ec5 hi\u1ec3u nh\u1ea5t cho c\u00e1c b\u1ea1n tham kh\u1ea3o:\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">Ch\u1ee9ng minh b\u1ed1n \u0111\u1ec9nh c\u00e1ch \u0111\u1ec1u m\u1ed9t \u0111i\u1ec3m\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">N\u1ebfu \u0111\u1ec1 b\u00e0i cho tr\u01b0\u1edbc m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n O, b\u00e1n k\u00ednh R th\u00ec b\u1ea5t c\u1ee9 \u0111i\u1ec3m n\u00e0o tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n \u0111\u1ec1u c\u00e1ch t\u00e2m m\u1ed9t kho\u1ea3ng R. Do \u0111\u00f3, d\u1ef1a v\u00e0o l\u00fd thuy\u1ebft n\u00e0y \u0111\u1ec3 ch\u1ee9ng minh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp m\u1ed9t c\u00e1ch nhanh ch\u00f3ng. V\u00ed d\u1ee5 cho m\u1ed9t \u0111i\u1ec3m I c\u1ed1 \u0111\u1ecbnh v\u00e0 t\u1ee9 gi\u00e1c ABCD, \u0111\u1ec3 ch\u1ee9ng minh \u0111\u00e2y l\u00e0 h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp th\u00ec c\u00e1c b\u1ea1n h\u00e3y ch\u1ee9ng minh\u00a0 IA = IB = IC = ID. \u0110i\u1ec3m I ch\u00ednh l\u00e0 t\u00e2m c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n v\u00e0 c\u00f3 b\u00e1n k\u00ednh l\u00e0 IA.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"size-full wp-image-295862 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-3.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">Ch\u1ee9ng minh t\u1ed5ng hai g\u00f3c \u0111\u1ed1i di\u1ec7n c\u1ee7a t\u1ee9 gi\u00e1c b\u1eb1ng 180 \u0111\u1ed9\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i c\u00e1ch ch\u1ee9ng minh h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp c\u00f3 b\u1ed1n \u0111\u1ec9nh c\u00e1ch \u0111\u1ec1u m\u1ed9t \u0111i\u1ec3m, c\u00e1c b\u1ea1n c\u00f2n c\u00f3 th\u1ec3 ch\u1ee9ng minh hai g\u00f3c \u0111\u1ed1i di\u1ec7n c\u1ee7a t\u1ee9 gi\u00e1c b\u1eb1ng 180 \u0111\u1ed9. Ch\u1eb3ng h\u1ea1n nh\u01b0 cho h\u00ecnh t\u1ee9 gi\u00e1c ABCD, c\u00e1c b\u1ea1n h\u00e3y ch\u1ee9ng minh g\u00f3c A + C = 180 \u0111\u1ed9 ho\u1eb7c g\u00f3c B + D = 180 \u0111\u1ed9. Ch\u1ec9 c\u1ea7n ch\u1ee9ng minh \u0111\u01b0\u1ee3c m\u1ed9t c\u1eb7p g\u00f3c \u0111\u1ed1i di\u1ec7n c\u00f3 t\u1ed5ng b\u1eb1ng 180 \u0111\u1ed9 theo <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\"> th\u00ec \u0111\u00e2y ch\u00ednh l\u00e0 h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"size-full wp-image-295863 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-4.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">Ch\u1ee9ng minh g\u00f3c ngo\u00e0i t\u1ea1i m\u1ed9t \u0111\u1ec9nh b\u1eb1ng g\u00f3c trong t\u1ea1i \u0111\u1ec9nh \u0111\u1ed1i\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">C\u00e1ch ch\u1ee9ng minh n\u00e0y kh\u00e1 \u0111\u01a1n gi\u1ea3n, c\u00e1c b\u1ea1n c\u1ea7n ch\u1ee9ng minh g\u00f3c ngo\u00e0i t\u1ea1i \u0111\u1ec9nh A b\u1eb1ng g\u00f3c trong c\u1ee7a \u0111\u1ec9nh C th\u00ec h\u00ecnh t\u1ee9 gi\u00e1c \u0111\u00f3 l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-5.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-5-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-5-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-295864 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-5.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">Ch\u1ee9ng minh t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t\u00a0<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u1ed1i v\u1edbi d\u1ea1ng b\u00e0i ch\u1ee9ng minh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp, c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 ch\u1ee9ng minh qua d\u1ea1ng t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t nh\u01b0 h\u00ecnh ch\u1eef nh\u1eadt, h\u00ecnh vu\u00f4ng, h\u00ecnh thoi,&#8230; T\u1eeb \u0111\u00e2y, c\u00e1c b\u1ea1n s\u1ebd suy ra t\u1ee9 gi\u00e1c trong \u0111\u1ec1 b\u00e0i l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-295865 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-6.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2><span style=\"font-weight: 400;\">C\u00e1ch gi\u1ea3i m\u1ed9t s\u1ed1 d\u1ea1ng b\u00e0i t\u1eadp t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u1edbp 9<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 gi\u1ea3i b\u00e0i t\u1eadp li\u00ean quan, c\u00e1c b\u1ea1n c\u1ea7n hi\u1ec3u \u0111\u01b0\u1ee3c \u0111\u1ecbnh l\u00fd, t\u00ednh ch\u1ea5t, <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\">. Khi n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c, c\u00e1c b\u1ea1n s\u1ebd \u00e1p d\u1ee5ng linh ho\u1ea1t v\u1edbi t\u1eebng y\u00eau c\u1ea7u \u0111\u1ec1 b\u00e0i. Sau \u0111\u00e2y, ch\u00fang t\u00f4i s\u1ebd l\u1ea5y m\u1ed9t s\u1ed1 v\u00ed d\u1ee5 d\u1ea1ng b\u00e0i t\u1eadp t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp th\u01b0\u1eddng g\u1eb7p cho c\u00e1c b\u1ea1n tham kh\u1ea3o:\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 1<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho tam gi\u00e1c nh\u1ecdn ABC v\u1edbi \u0111\u01b0\u1eddng cao BM, CN c\u1eaft nhau t\u1ea1i \u0111i\u1ec3m H. H\u00e3y ch\u1ee9ng minh AMHN v\u00e0 BNMC l\u00e0 h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-7.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-7-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-7-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-295866 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-7.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-7\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">\u0110\u00e2y l\u00e0 m\u1ed9t d\u1ea1ng b\u00e0i th\u01b0\u1eddng g\u1eb7p \u0111\u1ed1i v\u1edbi c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 9. \u0110\u1ec3 gi\u1ea3i b\u00e0i t\u1eadp n\u00e0y r\u1ea5t \u0111\u01a1n gi\u1ea3n. \u0110\u1ea7u ti\u00ean h\u00e3y x\u00e9t t\u1ee9 gi\u00e1c AMHN c\u00f3 g\u00f3c AMH + ANH = 90 + 9- = 180 \u0111\u1ed9. Theo d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft, h\u00ecnh t\u1ee9 gi\u00e1c AMHN c\u00f3 t\u1ed5ng hai g\u00f3c \u0111\u1ed1i b\u1eb1ng 180 \u0111\u1ed9 d\u1eabn t\u1edbi AMHN l\u00e0 h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">T\u01b0\u01a1ng t\u1ef1 nh\u01b0 tr\u00ean, x\u00e9t h\u00ecnh t\u1ee9 gi\u00e1c BNMC c\u00f3 g\u00f3c BNC = BMC = 90 \u0111\u1ed9. Theo \u0111\u00f3, ch\u00fang ta k\u1ebft lu\u1eadn t\u1ee9 gi\u00e1c BNMC l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 2<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">H\u00ecnh t\u1ee9 gi\u00e1c ABCD n\u1ed9i ti\u1ebfp t\u00e2m O, \u0111i\u1ec3m M n\u1eb1m gi\u1eefa cung AB. Khi n\u1ed1i \u0111i\u1ec3m M v\u1edbi D, C s\u1ebd c\u1eaft c\u1ea1nh AB t\u1ea1i \u0111i\u1ec3m E v\u00e0 P. H\u00e3y ch\u1ee9ng minh h\u00ecnh PEDC l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp?<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-8.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-8-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-8-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-295867 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-8.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-8\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">V\u1edbi \u0111\u1ec1 b\u00e0i n\u00e0y ta th\u1ea5y g\u00f3c AED b\u1eb1ng 1\/2 t\u1ed5ng s\u1ed1 \u0111o c\u1ee7a cung AD v\u00e0 MB. Nh\u01b0 v\u1eady, b\u1eb1ng 1\/2 s\u1ed1 \u0111o cung DM n\u00ean b\u1eb1ng v\u1edbi g\u00f3c MCD. T\u1eeb \u0111\u00e2y, c\u00e1c b\u1ea1n suy ra g\u00f3c DEP + PCD s\u1ebd b\u1eb1ng 180 \u0111\u1ed9 -&gt; PEDC l\u00e0 h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp (\u0111i\u1ec1u ph\u1ea3i ch\u1ee9ng minh).\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 3<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho bi\u1ebft h\u00ecnh thang ABCD trong \u0111\u00f3 g\u00f3c C = D = 60 \u0111\u1ed9, c\u1ea1nh CD = 2AD. H\u00e3y ch\u1ee9ng minh c\u00e1c \u0111i\u1ec3m A, B, C, D c\u00f9ng n\u1eb1m tr\u00ean m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-9.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-9-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-9-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-295868 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-9.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-9\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-9.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-9-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-9-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">D\u1ea1ng to\u00e1n n\u00e0y c\u0169ng th\u01b0\u1eddng g\u1eb7p li\u00ean quan t\u1edbi <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp <\/b><span style=\"font-weight: 400;\">l\u1edbp 9. Trong c\u00e1c ti\u1ebft h\u1ecdc tr\u00ean l\u1edbp, \u00f4n luy\u1ec7n, ch\u1eafc h\u1eb3n c\u00e1c b\u1ea1n \u0111\u00e3 \u0111\u01b0\u1ee3c th\u1ea7y c\u00f4 h\u01b0\u1edbng d\u1eabn chi ti\u1ebft. \u0110\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n n\u00e0y, c\u00e1c b\u1ea1n h\u00e3y tham kh\u1ea3o h\u01b0\u1edbng d\u1eabn sau:\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\">\u0110\u1ea7u ti\u00ean, c\u00e1c b\u1ea1n h\u00e3y g\u1ecdi I l\u00e0 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh CD.\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">L\u00fac n\u00e0y ta c\u00f3 c\u1ea1nh IC = AB v\u00e0 IC \/\/ AB. T\u1eeb \u0111\u00e2y suy ra ICBA l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh n\u00ean c\u1ea1nh BC = AI (1).\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">T\u01b0\u01a1ng t\u1ef1 c\u00e1ch ch\u1ee9ng minh tr\u00ean ta \u0111\u01b0\u1ee3c AD = IB (2).\u00a0<\/span><\/li>\n<li><span style=\"font-weight: 400;\">Theo \u0111\u1ec1 b\u00e0i, ABCD l\u00e0 h\u00ecnh thang n\u00ean c\u00f3 g\u00f3c C = D = 60 \u0111\u1ed9 =&gt; \u0111\u00e2y l\u00e0 h\u00ecnh thang c\u00e2n (3).\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">T\u1eeb ba l\u00fd l\u1ebd tr\u00ean suy ra ICB, IAD l\u00e0 tam gi\u00e1c \u0111\u1ec1u =&gt; AI = IB = IC = ID =&gt; \u0111i\u1ec3m A, B, C, D c\u00f9ng n\u1eb1m tr\u00ean m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n (\u0111i\u1ec1u ph\u1ea3i ch\u1ee9ng minh).\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 4<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho bi\u1ebft h\u00ecnh tam gi\u00e1c nh\u1ecdn ABC n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O. Trong \u0111\u00f3, M thu\u1ed9c \u0111\u01b0\u1eddng tr\u00f2n, h\u00e3y v\u1ebd MH vu\u00f4ng g\u00f3c v\u1edbi BC t\u1ea1i \u0111i\u1ec3m H v\u00e0 MI vu\u00f4ng g\u00f3c v\u1edbi AC t\u1ea1i \u0111i\u1ec3m I. H\u00e3y ch\u1ee9ng minh t\u1ee9 gi\u00e1c MIHC l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-10.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-10-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-10-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-295869 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-10.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-10\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-10.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-10-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-10-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">\u0110a s\u1ed1 c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 9 th\u01b0\u1eddng s\u1ee3 h\u00e3i tr\u01b0\u1edbc b\u00e0i t\u1eadp t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp. Tuy nhi\u00ean, ch\u1ec9 c\u1ea7n c\u00e1c b\u1ea1n n\u1eafm \u0111\u01b0\u1ee3c \u0111\u1ecbnh l\u00fd, t\u00ednh ch\u1ea5t, <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\"> th\u00ec m\u1ecdi b\u00e0i t\u1eadp \u0111\u1ec1u tr\u1edf n\u00ean \u0111\u01a1n gi\u1ea3n. \u0110\u1ed1i v\u1edbi b\u00e0i t\u1eadp n\u00e0y, c\u00f3 th\u1ec3 th\u1ea5y g\u00f3c MIC b\u1eb1ng g\u00f3c CHM \u0111\u1ec1u b\u1eb1ng 90 \u0111\u1ed9. T\u1eeb \u0111\u00e2y suy ra MIHC l\u00e0 h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp b\u1edfi c\u00f3 hai \u0111\u1ec9nh k\u1ec1 nhau v\u00e0 c\u00f9ng nh\u00ecn c\u1ea1nh ch\u1ee9a hai \u0111\u1ec9nh c\u00f2n l\u1ea1i d\u01b0\u1edbi g\u00f3c vu\u00f4ng.\u00a0<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">B\u00e0i 5<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Cho bi\u1ebft n\u1eeda \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 \u0111\u01b0\u1eddng k\u00ednh AB = 2R, \u0111\u01b0\u1eddng ti\u1ebfp tuy\u1ebfn Ax c\u00f9ng ph\u00eda v\u1edbi AB. T\u1eeb v\u1ecb tr\u00ed \u0111i\u1ec3m M, c\u00e1c b\u1ea1n h\u00e3y v\u1ebd \u0111\u01b0\u1eddng ti\u1ebfp tuy\u1ebfn MC, c\u1ea1nh AC c\u1eaft OM t\u1ea1i \u0111i\u1ec3m E v\u00e0 MB c\u1eaft n\u1eeda \u0111\u01b0\u1eddng tr\u00f2n t\u1ea1i D.\u00a0<\/span><span style=\"font-weight: 400;\">Y\u00eau c\u1ea7u ch\u1ee9ng minh t\u1ee9 gi\u00e1c AMCO, AMDE, MBCD l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-11.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-11-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-11-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-295870 aligncenter webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-11.jpg\" alt=\"dau-hieu-nhan-biet-tu-giac-noi-tiep-11\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-11.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-11-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep-11-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><span style=\"font-weight: 400;\">\u1ede d\u1ea1ng b\u00e0i n\u00e0y, \u0111\u1ec1 b\u00e0i c\u00f3 ph\u1ea7n ph\u1ee9c t\u1ea1p h\u01a1n tuy nhi\u00ean d\u1ef1a v\u00e0o <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\"> s\u1ebd c\u00e1ch gi\u1ea3i c\u0169ng r\u1ea5t \u0111\u01a1n gi\u1ea3n. Theo \u0111\u1ec1 b\u00e0i, MA v\u00e0 MC l\u00e0 ti\u1ebfp tuy\u1ebfn n\u00ean suy ra g\u00f3c MAO v\u00e0 MCO b\u1eb1ng nhau b\u1eb1ng 90 \u0111\u1ed9.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">X\u00e9t t\u1ee9 gi\u00e1c AMCO ta c\u00f3 g\u00f3c MAO + MCO = 180 \u0111\u1ed9 suy ra AMCO l\u00e0 t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n (\u0111i\u1ec1u ph\u1ea3i ch\u1ee9ng minh).\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ti\u1ebfp theo, ta c\u00f3 g\u00f3c ABD b\u1eb1ng 90 \u0111\u1ed9 n\u00ean suy ra ADM c\u0169ng b\u1eb1ng 90 \u0111\u1ed9.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ta c\u00f3 OA = OC = R v\u00e0 MA = MC do t\u00ednh ch\u1ea5t \u0111\u01b0\u1eddng ti\u1ebfp tuy\u1ebfn.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Suy ra OM s\u1ebd l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c -&gt; g\u00f3c AME b\u1eb1ng 90 \u0111\u1ed9.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Qua nh\u1eefng l\u00fd l\u1ebd tr\u00ean, ch\u00fang ta suy ra ADM = AEM = 90 \u0111\u1ed9.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Nh\u01b0 v\u1eady, AMDE c\u00f3 hai \u0111\u1ec9nh A, E li\u1ec1n k\u1ec1 nhau v\u00e0 c\u00f9ng nh\u00ecn c\u1ea1nh MA v\u1edbi m\u1ed9t g\u00f3c kh\u00f4ng \u0111\u1ed5i. D\u1ef1a v\u00e0o d\u1ea5u hi\u1ec7u t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp th\u00ec AMDE n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n c\u00f3 b\u00e1n k\u00ednh MA (\u0111i\u1ec1u ph\u1ea3i ch\u1ee9ng minh).\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 l\u01b0u \u00fd khi l\u00e0m b\u00e0i ch\u1ee9ng minh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u1edbp 9\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Tr\u00ean \u0111\u00e2y, ch\u00fang t\u00f4i \u0111\u00e3 nh\u1eafc l\u1ea1i ph\u1ea7n l\u00fd thuy\u1ebft g\u1ed3m \u0111\u1ecbnh l\u00fd, t\u00ednh ch\u1ea5t, <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\">. B\u00ean c\u1ea1nh \u0111\u00f3, ch\u00fang t\u00f4i c\u0169ng l\u1ea5y v\u00ed d\u1ee5 v\u1ec1 c\u00e1c d\u1ea1ng b\u00e0i c\u1ee5 th\u1ec3 cho c\u00e1c b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n. Tuy nhi\u00ean, khi l\u00e0m b\u00e0i t\u1eadp t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp, c\u00e1c b\u1ea1n h\u1ecdc sinh c\u1ea7n l\u01b0u \u00fd m\u1ed9t s\u1ed1 \u0111i\u1ec1u sau:\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">L\u01b0u \u00fd \u0111\u1ea7u ti\u00ean l\u00e0 c\u00e1c b\u1ea1n c\u1ea7n v\u1ebd h\u00ecnh chu\u1ea9n x\u00e1c theo y\u00eau c\u1ea7u \u0111\u1ec1 b\u00e0i. Ch\u1ec9 khi v\u1ebd h\u00ecnh chu\u1ea9n x\u00e1c th\u00ec c\u00e1c b\u1ea1n d\u1ec5 d\u00e0ng x\u00e1c \u0111\u1ecbnh \u0111i\u1ec1u c\u1ea7n ch\u1ee9ng minh.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0110\u1ed1i v\u1edbi c\u00e1c g\u00f3c, \u0111o\u1ea1n th\u1eb3ng c\u1ea7n \u0111\u01b0\u1ee3c \u0111\u00e1nh d\u1ea5u r\u00f5 r\u00e0ng, tr\u00e1nh nh\u1ea7m l\u1eabn.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C\u00e1c b\u1ea1n c\u1ea7n n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c l\u00fd thuy\u1ebft, b\u00e1m v\u00e0o y\u00eau c\u1ea7u \u0111\u1ec1 b\u00e0i \u0111\u1ec3 tr\u00e1nh l\u1ea1c h\u01b0\u1edbng.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Ch\u00fa \u00fd t\u1edbi nh\u1eefng y\u00eau c\u1ea7u c\u1ee7a \u0111\u1ec1 b\u00e0i, \u0111\u00e2y ch\u00ednh l\u00e0 nh\u1eefng g\u1ee3i \u00fd gi\u00fap c\u00e1c b\u1ea1n ch\u1ee9ng minh d\u1ec5 d\u00e0ng h\u01a1n.\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Cu\u1ed1i c\u00f9ng, c\u00e1c b\u1ea1n h\u1ecdc sinh kh\u00f4ng n\u00ean d\u00f9ng \u0111i\u1ec1u c\u1ea7n ch\u1ee9ng minh \u0111\u1ec3 ch\u1ee9ng minh l\u1ea1i. \u0110\u00e2y l\u00e0 l\u1ed7i th\u01b0\u1eddng g\u1eb7p trong b\u00e0i t\u1eadp t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp c\u1ee7a c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 9.\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Ngo\u00e0i nh\u1eefng l\u01b0u \u00fd tr\u00ean, khi h\u1ecdc t\u1eadp \u1edf tr\u01b0\u1eddng, c\u00e1c b\u1ea1n c\u1ea7n ch\u00fa \u00fd nghe th\u1ea7y c\u00f4 gi\u1ea3ng v\u00e0 ghi ch\u00e9p b\u00e0i \u0111\u1ea7y \u0111\u1ee7. C\u00e1c b\u1ea1n c\u1ea7n n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c \u1edf tr\u00ean l\u1edbp c\u00f2n v\u1ec1 nh\u00e0 luy\u1ec7n t\u1eadp th\u00eam b\u00e0i t\u1eadp. \u0110\u1ec3 gi\u00fap c\u00e1c b\u1ea1n h\u1ecdc t\u1ed1t h\u01a1n h\u1ecdc ph\u1ea7n t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp, c\u00e1c b\u1eadc ph\u1ee5 huynh c\u00f3 th\u1ec3 mua cho con th\u00eam b\u1ed9 s\u00e1ch tham kh\u1ea3o, h\u1ed7 tr\u1ee3. Trong tr\u01b0\u1eddng h\u1ee3p c\u1ea7n thi\u1ebft, ph\u1ee5 huynh c\u00f3 th\u1ec3 cho con \u0111i h\u1ecdc th\u00eam t\u1ea1i trung t\u00e2m ho\u1eb7c mua kho\u00e1 h\u1ecdc online.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">T\u1ea1m K\u1ebft\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">B\u00e0i vi\u1ebft tr\u00ean, ch\u00fang t\u00f4i \u0111\u00e3 chia s\u1ebb \u0111\u1ecbnh l\u00fd, t\u00ednh ch\u1ea5t, <\/span><b>d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/b><span style=\"font-weight: 400;\"> cho c\u00e1c b\u1ea1n tham kh\u1ea3o. B\u00ean c\u1ea1nh n\u1ed9i dung l\u00fd thuy\u1ebft, ch\u00fang t\u00f4i c\u0169ng l\u1ea5y c\u00e1c v\u00ed d\u1ee5 minh ho\u1ea1 \u0111\u1ec3 c\u00e1c em c\u00f3 c\u00e1i nh\u00ecn tr\u1ef1c quan v\u00e0 d\u1ec5 hi\u1ec3u h\u01a1n. T\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 m\u1ed9t trong nh\u1eefng n\u1ed9i dung quan tr\u1ecdng c\u1ee7a to\u00e1n h\u00ecnh h\u1ecdc l\u1edbp 9. C\u00e1c em c\u1ea7n n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c n\u00e0y \u0111\u1ec3 ph\u1ee5c v\u1ee5 cho k\u1ef3 thi l\u1edbp 10 ph\u00eda tr\u01b0\u1edbc. Ch\u00fac c\u00e1c b\u1ea1n h\u1ecdc t\u1eadp t\u1ed1t, \u0111\u1ea1t k\u1ebft qu\u1ea3 h\u1ecdc t\u1eadp t\u1ed1t, x\u1ee9ng \u0111\u00e1ng v\u1edbi nh\u1eefng n\u1ed7 l\u1ef1c c\u1ee7a m\u00ecnh.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">H\u00e3y b\u1ea5m theo d\u00f5i fanpage <\/span><b>Ho\u00e0ng H\u00e0 Mobile<\/b><span style=\"font-weight: 400;\"> v\u00e0 k\u00eanh Youtube <\/span><b>Ho\u00e0ng H\u00e0 Channel<\/b><span style=\"font-weight: 400;\"> \u0111\u1ec3 kh\u00f4ng b\u1ecf l\u1ee1 nh\u1eefng th\u00f4ng tin th\u00fa v\u1ecb nh\u00e9!<\/span><\/p>\n<p><strong>XEM TH\u00caM:\u00a0<\/strong><\/p>\n<ul>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/moon-vn-active-id\/\">C\u00e1ch \u0111\u0103ng k\u00fd t\u00e0i kho\u1ea3n, kh\u00f3a h\u1ecdc mi\u1ec5n ph\u00ed tr\u00ean Moon chi ti\u1ebft<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-hoc-thuoc-nhanh\/\">C\u00e1ch h\u1ecdc thu\u1ed9c nhanh gi\u00fap b\u1ea1n ti\u1ebfp thu t\u1ed1t v\u00e0 nh\u1edb l\u00e2u<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 m\u1ed9t trong nh\u1eefng n\u1ed9i dung m\u00e0 c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 9 c\u1ea7n n\u1eafm \u0111\u01b0\u1ee3c \u0111\u1ec3 chu\u1ea9n b\u1ecb cho k\u1ef3 thi quan tr\u1ecdng. V\u1eady t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft h\u00ecnh t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? M\u1eddi c\u00e1c [&hellip;]<\/p>\n","protected":false},"author":73,"featured_media":295860,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29235,3910],"tags":[],"class_list":["post-294651","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","category-kham-pha"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1<\/title>\n<meta name=\"description\" content=\"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? H\u00e3y theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 bi\u1ebft th\u00f4ng tin chi ti\u1ebft nh\u00e9!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1\" \/>\n<meta property=\"og:description\" content=\"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? H\u00e3y theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 bi\u1ebft th\u00f4ng tin chi ti\u1ebft nh\u00e9!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/\" \/>\n<meta property=\"og:site_name\" content=\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/hoanghamobilecom\" \/>\n<meta property=\"article:published_time\" content=\"2023-12-19T04:21:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"628\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"H\u1ed3ng Th\u01a1\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0110\u01b0\u1ee3c vi\u1ebft b\u1edfi\" \/>\n\t<meta name=\"twitter:data1\" content=\"H\u1ed3ng Th\u01a1\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc\" \/>\n\t<meta name=\"twitter:data2\" content=\"14 ph\u00fat\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/\"},\"author\":{\"name\":\"H\u1ed3ng Th\u01a1\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/6db3b2e6d8fb7f2e308c4625aeaa7dc2\"},\"headline\":\"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1\",\"datePublished\":\"2023-12-19T04:21:17+00:00\",\"dateModified\":\"2023-12-19T04:21:17+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/\"},\"wordCount\":3239,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\"},\"image\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg\",\"articleSection\":[\"G\u00f3c t\u00f2 m\u00f2\",\"Kh\u00e1m Ph\u00e1\"],\"inLanguage\":\"vi\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#respond\"]}],\"copyrightYear\":\"2023\",\"copyrightHolder\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/\",\"name\":\"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1\",\"isPartOf\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg\",\"datePublished\":\"2023-12-19T04:21:17+00:00\",\"dateModified\":\"2023-12-19T04:21:17+00:00\",\"description\":\"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? H\u00e3y theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 bi\u1ebft th\u00f4ng tin chi ti\u1ebft nh\u00e9!\",\"breadcrumb\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#breadcrumb\"},\"inLanguage\":\"vi\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"vi\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#primaryimage\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg\",\"contentUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg\",\"width\":1200,\"height\":628,\"caption\":\"dau-hieu-nhan-biet-tu-giac-noi-tiep\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Trang ch\u1ee7\",\"item\":\"https:\/\/hoanghamobile.com\/tin-tuc\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kh\u00e1m Ph\u00e1\",\"item\":\"https:\/\/hoanghamobile.com\/tin-tuc\/category\/kham-pha\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#website\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/\",\"name\":\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/hoanghamobile.com\/tin-tuc\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"vi\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\",\"name\":\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"vi\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2021\/12\/logo-text.png\",\"contentUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2021\/12\/logo-text.png\",\"width\":256,\"height\":37,\"caption\":\"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile\"},\"image\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/hoanghamobilecom\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/6db3b2e6d8fb7f2e308c4625aeaa7dc2\",\"name\":\"H\u1ed3ng Th\u01a1\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"vi\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/litespeed\/avatar\/cbd147f93d14dbaa9240ed9b23461d12.jpg?ver=1774865130\",\"contentUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/litespeed\/avatar\/cbd147f93d14dbaa9240ed9b23461d12.jpg?ver=1774865130\",\"caption\":\"H\u1ed3ng Th\u01a1\"},\"description\":\"M\u00ecnh l\u00e0 Th\u01a1 - c\u00f4 g\u00e1i \u0111am m\u00ea vi\u1ebft l\u00e1ch, th\u00edch tr\u1ea3i nghi\u1ec7m nh\u1eefng s\u1ea3n ph\u1ea9m c\u00f4ng ngh\u1ec7 m\u1edbi!\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/author\/hong-tho\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1","description":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? H\u00e3y theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 bi\u1ebft th\u00f4ng tin chi ti\u1ebft nh\u00e9!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/","og_locale":"vi_VN","og_type":"article","og_title":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1","og_description":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? H\u00e3y theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 bi\u1ebft th\u00f4ng tin chi ti\u1ebft nh\u00e9!","og_url":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/","og_site_name":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile","article_publisher":"https:\/\/www.facebook.com\/hoanghamobilecom","article_published_time":"2023-12-19T04:21:17+00:00","og_image":[{"width":1200,"height":628,"url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg","type":"image\/jpeg"}],"author":"H\u1ed3ng Th\u01a1","twitter_card":"summary_large_image","twitter_misc":{"\u0110\u01b0\u1ee3c vi\u1ebft b\u1edfi":"H\u1ed3ng Th\u01a1","\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc":"14 ph\u00fat"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#article","isPartOf":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/"},"author":{"name":"H\u1ed3ng Th\u01a1","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/6db3b2e6d8fb7f2e308c4625aeaa7dc2"},"headline":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1","datePublished":"2023-12-19T04:21:17+00:00","dateModified":"2023-12-19T04:21:17+00:00","mainEntityOfPage":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/"},"wordCount":3239,"commentCount":0,"publisher":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization"},"image":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#primaryimage"},"thumbnailUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg","articleSection":["G\u00f3c t\u00f2 m\u00f2","Kh\u00e1m Ph\u00e1"],"inLanguage":"vi","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#respond"]}],"copyrightYear":"2023","copyrightHolder":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization"}},{"@type":"WebPage","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/","url":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/","name":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1","isPartOf":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#website"},"primaryImageOfPage":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#primaryimage"},"image":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#primaryimage"},"thumbnailUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg","datePublished":"2023-12-19T04:21:17+00:00","dateModified":"2023-12-19T04:21:17+00:00","description":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp l\u00e0 g\u00ec? H\u00e3y theo d\u00f5i b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Ho\u00e0ng H\u00e0 Mobile \u0111\u1ec3 bi\u1ebft th\u00f4ng tin chi ti\u1ebft nh\u00e9!","breadcrumb":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#breadcrumb"},"inLanguage":"vi","potentialAction":[{"@type":"ReadAction","target":["https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/"]}]},{"@type":"ImageObject","inLanguage":"vi","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#primaryimage","url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg","contentUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dau-hieu-nhan-biet-tu-giac-noi-tiep.jpg","width":1200,"height":628,"caption":"dau-hieu-nhan-biet-tu-giac-noi-tiep"},{"@type":"BreadcrumbList","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/dau-hieu-nhan-biet-tu-giac-noi-tiep\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Trang ch\u1ee7","item":"https:\/\/hoanghamobile.com\/tin-tuc\/"},{"@type":"ListItem","position":2,"name":"Kh\u00e1m Ph\u00e1","item":"https:\/\/hoanghamobile.com\/tin-tuc\/category\/kham-pha\/"},{"@type":"ListItem","position":3,"name":"D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft t\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp v\u00e0 v\u00ed d\u1ee5 minh ho\u1ea1"}]},{"@type":"WebSite","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#website","url":"https:\/\/hoanghamobile.com\/tin-tuc\/","name":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile","description":"","publisher":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/hoanghamobile.com\/tin-tuc\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"vi"},{"@type":"Organization","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization","name":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile","url":"https:\/\/hoanghamobile.com\/tin-tuc\/","logo":{"@type":"ImageObject","inLanguage":"vi","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/logo\/image\/","url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2021\/12\/logo-text.png","contentUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2021\/12\/logo-text.png","width":256,"height":37,"caption":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile"},"image":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/hoanghamobilecom"]},{"@type":"Person","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/6db3b2e6d8fb7f2e308c4625aeaa7dc2","name":"H\u1ed3ng Th\u01a1","image":{"@type":"ImageObject","inLanguage":"vi","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/image\/","url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/litespeed\/avatar\/cbd147f93d14dbaa9240ed9b23461d12.jpg?ver=1774865130","contentUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/litespeed\/avatar\/cbd147f93d14dbaa9240ed9b23461d12.jpg?ver=1774865130","caption":"H\u1ed3ng Th\u01a1"},"description":"M\u00ecnh l\u00e0 Th\u01a1 - c\u00f4 g\u00e1i \u0111am m\u00ea vi\u1ebft l\u00e1ch, th\u00edch tr\u1ea3i nghi\u1ec7m nh\u1eefng s\u1ea3n ph\u1ea9m c\u00f4ng ngh\u1ec7 m\u1edbi!","url":"https:\/\/hoanghamobile.com\/tin-tuc\/author\/hong-tho\/"}]}},"_links":{"self":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/posts\/294651","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/users\/73"}],"replies":[{"embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/comments?post=294651"}],"version-history":[{"count":0,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/posts\/294651\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/media\/295860"}],"wp:attachment":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/media?parent=294651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/categories?post=294651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/tags?post=294651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}