{"id":298489,"date":"2023-12-20T21:04:51","date_gmt":"2023-12-20T14:04:51","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=298489"},"modified":"2023-12-20T21:04:53","modified_gmt":"2023-12-20T14:04:53","slug":"so-thuc-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/","title":{"rendered":"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c"},"content":{"rendered":"

S\u1ed1 th\u1ef1c l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m quan tr\u1ecdng trong to\u00e1n h\u1ecdc, \u0111\u00f3ng vai tr\u00f2 c\u01a1 b\u1ea3n trong c\u00f4ng vi\u1ec7c m\u00f4 h\u00ecnh h\u00f3a v\u00e0 \u0111o l\u01b0\u1eddng th\u1ebf gi\u1edbi xung quanh ch\u00fang ta. S\u1ed1 th\u1ef1c bao g\u1ed3m t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u hi\u1ec7n tr\u00ean m\u1ed9t s\u1ed1 tr\u1ee5c li\u00ean t\u1ee5c v\u00e0 kh\u00f4ng b\u1ecb gi\u1edbi h\u1ea1n b\u1edfi c\u00e1c v\u1ecb tr\u00ed r\u1eddi r\u1ea1c. Trong b\u00e0i vi\u1ebft n\u00e0y, ch\u00fang ta s\u1ebd t\u00ecm hi\u1ec3u th\u00eam v\u1ec1 s\u1ed1 th\u1ef1c l\u00e0 g\u00ec<\/strong> v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn c\u1ee7a d\u1ea1ng s\u1ed1 \u0111\u1ea1i s\u1ed1 n\u00e0y.<\/p>\n

S\u1ed1 th\u1ef1c l\u00e0 g\u00ec?<\/h2>\n

S\u1ed1 th\u1ef1c l\u00e0 t\u1eadp h\u1ee3p bao g\u1ed3m c\u00e1c s\u1ed1 nguy\u00ean d\u01b0\u01a1ng, s\u1ed1 0, s\u1ed1 nguy\u00ean \u00e2m, s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 c c\u1ea3 s\u1ed1 v\u00f4 t\u1ec9. S\u1ed1 th\u1ef1c c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng c\u00e1c \u0111i\u1ec3m tr\u00ean m\u1ed9t tr\u1ee5c s\u1ed1 d\u00e0i v\u00f4 h\u1ea1n. S\u1ed1 th\u1ef1c th\u01b0\u1eddng \u0111\u01b0\u1ee3c k\u00ed hi\u1ec7u l\u00e0 R. D\u1ea1ng \u0111\u1ea1i s\u1ed1 n\u00e0y c\u00f3 nhi\u1ec1u t\u00ednh ch\u1ea5t v\u00e0 \u1ee9ng d\u1ee5ng trong to\u00e1n h\u1ecdc v\u00e0 c\u00e1c l\u0129nh v\u1ef1c kh\u00e1c. S\u1ed1 th\u1ef1c c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 th\u1ec3 hi\u1ec7n c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng li\u00ean t\u1ee5c, nh\u01b0 \u0111\u1ed9 d\u00e0i, di\u1ec7n t\u00edch, th\u1ec3 t\u00edch, nhi\u1ec7t \u0111\u1ed9, th\u1eddi gian, t\u1ed1c \u0111\u1ed9\u2026 S\u1ed1 th\u1ef1c c\u0169ng c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 bi\u1ec3u th\u1ecb c\u00e1c gi\u00e1 tr\u1ecb x\u00e1c su\u1ea5t, ph\u00e2n s\u1ed1, s\u1ed1 m\u0169, s\u1ed1 c\u0103n, s\u1ed1 logarit, s\u1ed1 l\u01b0\u1ee3ng t\u1eed,…<\/p>\n

\"so-thuc-la-gi-2\"<\/picture><\/a><\/p>\n

S\u1ed1 th\u1ef1c c\u00f3 hai thu\u1ed9c t\u00ednh c\u01a1 b\u1ea3n l\u00e0 thu\u1ed9c t\u00ednh c\u1eadn tr\u00ean th\u1ea5p nh\u1ea5t v\u00e0 thu\u1ed9c t\u00ednh tr\u01b0\u1eddng c\u00f3 th\u1ee9 t\u1ef1. Thu\u1ed9c t\u00ednh c\u1eadn tr\u00ean th\u1ea5p nh\u1ea5t n\u00f3i r\u1eb1ng n\u1ebfu m\u1ed9t t\u1eadp h\u1ee3p s\u1ed1 th\u1ef1c kh\u00f4ng r\u1ed7ng c\u00f3 gi\u1edbi h\u1ea1n tr\u00ean th\u00ec n\u00f3 c\u00f3 c\u1eadn tr\u00ean nh\u1ecf nh\u1ea5t. Thu\u1ed9c t\u00ednh tr\u01b0\u1eddng c\u00f3 th\u1ee9 t\u1ef1 n\u00f3i r\u1eb1ng v\u1edbi hai s\u1ed1 th\u1ef1c b\u1ea5t k\u1ef3 th\u00ec lu\u00f4n c\u00f3 m\u1ed9t trong ba tr\u01b0\u1eddng h\u1ee3p x\u1ea3y ra: x = y, x < y ho\u1eb7c x > y.<\/p>\n

\u0110\u1ea1i l\u01b0\u1ee3ng c\u1ee7a d\u1ea1ng \u0111\u1ea1i s\u1ed1 n\u00e0y ch\u00ednh l\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng m\u1ed9t s\u1ed1 th\u1ef1c duy nh\u1ea5t. \u0110\u1ea1i l\u01b0\u1ee3ng s\u1ed1 th\u1ef1c c\u00f3 th\u1ec3 l\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng \u0111o l\u01b0\u1eddng nh\u01b0 chi\u1ec1u d\u00e0i, kh\u1ed1i l\u01b0\u1ee3ng, nhi\u1ec7t \u0111\u1ed9,… ho\u1eb7c l\u00e0 c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng to\u00e1n h\u1ecdc nh\u01b0 gi\u00e1 tr\u1ecb c\u1ee7a m\u1ed9t h\u00e0m s\u1ed1, nghi\u1ec7m c\u1ee7a m\u1ed9t ph\u01b0\u01a1ng tr\u00ecnh,.. M\u1ed7i y\u1ebfu t\u1ed1 tr\u00ean \u0111\u1ec1u c\u00f3 m\u1ed9t t\u00ednh ch\u1ea5t ri\u00eang bi\u1ec7t trong to\u00e1n h\u1ecdc th\u1eddi nay.<\/p>\n

\u0110\u1ea1i l\u01b0\u1ee3ng c\u1ee7a s\u1ed1 th\u1ef1c l\u00e0 g\u00ec?<\/h2>\n

Trong l\u0129nh v\u1ef1c to\u00e1n h\u1ecdc, \u0111\u1ea1i l\u01b0\u1ee3ng s\u1ed1 th\u1ef1c \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng v\u00e0 c\u00f3 s\u1ef1 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u kh\u00eda c\u1ea1nh c\u1ee7a cu\u1ed9c s\u1ed1ng. \u0110\u1ea1i l\u01b0\u1ee3ng n\u00e0y \u0111\u1ea1i di\u1ec7n cho t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 m\u00e0 ch\u00fang ta g\u1eb7p h\u00e0ng ng\u00e0y. Hi\u1ec3u r\u00f5 v\u1ec1 \u0111\u1ea1i l\u01b0\u1ee3ng s\u1ed1 th\u1ef1c kh\u00f4ng ch\u1ec9 gi\u00fap ch\u00fang ta n\u1eafm v\u1eefng c\u00e1c kh\u00e1i ni\u1ec7m to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n, m\u00e0 c\u00f2n c\u00f3 th\u1ec3 \u1ee9ng d\u1ee5ng v\u00e0o nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau.<\/p>\n

S\u1ed1 d\u01b0\u01a1ng, s\u1ed1 \u00e2m v\u00e0 s\u1ed1 kh\u00f4ng<\/h3>\n

Trong nh\u1eefng ki\u1ebfn th\u1ee9c v\u1ec1 s\u1ed1 th\u1ef1c l\u00e0 g\u00ec, ch\u00fang ta s\u1ebd g\u1eb7p ph\u1ea3i ba kh\u00e1i ni\u1ec7m quan tr\u1ecdng: S\u1ed1 d\u01b0\u01a1ng, s\u1ed1 \u00e2m v\u00e0 s\u1ed1 kh\u00f4ng. M\u1ed7i lo\u1ea1i s\u1ed1 n\u00e0y mang \u0111\u1ebfn \u00fd ngh\u0129a v\u00e0 \u1ee9ng d\u1ee5ng ri\u00eang trong c\u00e1c ph\u1ea1m tr\u00f9 kh\u00e1c nhau:<\/p>\n

S\u1ed1 d\u01b0\u01a1ng l\u00e0 nh\u1eefng s\u1ed1 th\u1ef1c l\u1edbn h\u01a1n 0 nh\u01b0 1, 2, 3, 0.5, 2\u03c0,… Ch\u00fang th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 bi\u1ec3u th\u1ecb c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng c\u00f3 h\u01b0\u1edbng c\u00f9ng chi\u1ec1u v\u1edbi m\u1ed9t h\u01b0\u1edbng \u0111\u00e3 \u0111\u01b0\u1ee3c ch\u1ecdn tr\u01b0\u1edbc \u0111\u00f3. Trong v\u1eadt l\u00fd, s\u1ed1 d\u01b0\u01a1ng c\u00f3 th\u1ec3 \u0111\u1ea1i di\u1ec7n cho v\u1eadn t\u1ed1c, l\u1ef1c hay c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng c\u00f3 t\u00ednh ch\u1ea5t t\u01b0\u01a1ng t\u1ef1.<\/p>\n

\"so-thuc-la-gi-3\"<\/picture><\/a><\/p>\n

S\u1ed1 \u00e2m, ng\u01b0\u1ee3c l\u1ea1i, l\u00e0 nh\u1eefng s\u1ed1 th\u1ef1c nh\u1ecf h\u01a1n 0 nh\u01b0 -1, -2, -3, -0.5, -2\u03c0,… Ch\u00fang th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 bi\u1ec3u th\u1ecb c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng c\u00f3 h\u01b0\u1edbng ng\u01b0\u1ee3c chi\u1ec1u v\u1edbi m\u1ed9t h\u01b0\u1edbng \u0111\u00e3 \u0111\u01b0\u1ee3c ch\u1ecdn tr\u01b0\u1edbc \u0111\u00f3. Trong v\u1eadt l\u00fd, s\u1ed1 \u00e2m c\u00f3 th\u1ec3 \u0111\u1ea1i di\u1ec7n cho nhi\u1ec7t \u0111\u1ed9 \u00e2m, \u0111i\u1ec7n th\u1ebf \u00e2m hay c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng c\u00f3 t\u00ednh ch\u1ea5t t\u01b0\u01a1ng t\u1ef1.<\/p>\n

S\u1ed1 kh\u00f4ng \u0111\u01a1n gi\u1ea3n l\u00e0 s\u1ed1 th\u1ef1c b\u1eb1ng 0. S\u1ed1 n\u00e0y th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 bi\u1ec3u th\u1ecb s\u1ef1 v\u1eafng m\u1eb7t ho\u1eb7c kh\u00f4ng c\u00f3 \u0111\u1ea1i l\u01b0\u1ee3ng n\u00e0o t\u1ed3n t\u1ea1i. S\u1ed1 kh\u00f4ng c\u00f3 th\u1ec3 \u0111\u1ea1i di\u1ec7n cho s\u1ef1 kh\u00f4ng c\u00f3 \u0111\u1ed9 d\u00e0i, kh\u00f4ng c\u00f3 kh\u1ed1i l\u01b0\u1ee3ng hay kh\u00f4ng c\u00f3 nhi\u1ec7t \u0111\u1ed9.<\/p>\n

S\u1ed1 t\u1ef1 nhi\u00ean, s\u1ed1 nguy\u00ean v\u00e0 s\u1ed1 th\u1eadp ph\u00e2n<\/h3>\n

S\u1ed1 t\u1ef1 nhi\u00ean l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean kh\u00f4ng \u00e2m v\u00e0 kh\u00f4ng c\u00f3 ph\u1ea7n th\u1eadp ph\u00e2n. Ch\u00fang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 \u0111\u1ebfm c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng nh\u01b0 s\u1ed1 l\u01b0\u1ee3ng, s\u1ed1 th\u1ee9 t\u1ef1, s\u1ed1 l\u1ea7n v\u00e0 th\u01b0\u1eddng \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng c\u00e1c ch\u1eef s\u1ed1 t\u1eeb 0 tr\u1edf \u0111i. V\u00ed d\u1ee5 nh\u01b0 0, 1, 2, 3, v\u00e0 ti\u1ebfp t\u1ee5c theo th\u1ee9 t\u1ef1.<\/p>\n

\"so-thuc-la-gi-4\"<\/picture><\/a><\/p>\n

S\u1ed1 nguy\u00ean l\u00e0 c\u00e1c s\u1ed1 kh\u00f4ng c\u00f3 ph\u1ea7n th\u1eadp ph\u00e2n, bao g\u1ed3m c\u1ea3 s\u1ed1 d\u01b0\u01a1ng v\u00e0 s\u1ed1 \u00e2m. Ch\u00fang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 bi\u1ec3u th\u1ecb c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng li\u00ean quan \u0111\u1ebfn chia h\u1ebft, s\u1ed1 ch\u1eb5n, s\u1ed1 l\u1ebb, s\u1ed1 \u01b0\u1edbc, s\u1ed1 b\u1ed9i v\u00e0 nhi\u1ec1u kh\u00e1i ni\u1ec7m kh\u00e1c. C\u00e1c s\u1ed1 -3, -2, -1, 0, 1, v\u00e0 2 ch\u00ednh l\u00e0 nh\u1eefng s\u1ed1 nguy\u00ean.<\/p>\n

S\u1ed1 th\u1eadp ph\u00e2n l\u00e0 c\u00e1c s\u1ed1 c\u00f3 ph\u1ea7n th\u1eadp ph\u00e2n, \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng c\u00e1ch s\u1eed d\u1ee5ng ch\u1eef s\u1ed1 th\u1eadp ph\u00e2n (0-9) v\u00e0 d\u1ea5u ch\u1ea5m th\u1eadp ph\u00e2n. Ch\u00fang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 bi\u1ec3u di\u1ec5n c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng li\u00ean t\u1ee5c nh\u01b0 \u0111\u1ed9 d\u00e0i, di\u1ec7n t\u00edch, th\u1ec3 t\u00edch, t\u1ef7 l\u1ec7 v\u00e0 nhi\u1ec1u kh\u00e1i ni\u1ec7m s\u1ed1 h\u1ecdc v\u00e0 khoa h\u1ecdc kh\u00e1c. V\u00ed d\u1ee5 nh\u01b0 s\u1ed1 0.1, 0.2, 0.3, -0.4, v\u00e0 -0.5 l\u00e0 c\u00e1c s\u1ed1 th\u1eadp ph\u00e2n.<\/p>\n

M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc bi\u1ec3u di\u1ec5n s\u1ed1 th\u1ef1c<\/h2>\n

Khi \u0111\u01b0\u1ee3c h\u1ecfi s\u1ed1 th\u1ef1c l\u00e0 g\u00ec, ch\u00fang ta li\u00ean t\u01b0\u1edfng ngay \u0111\u1ebfn c\u00e1c con s\u1ed1 c\u00f3 ph\u1ea7n th\u1eadp ph\u00e2n, nh\u01b0ng th\u1ef1c t\u1ebf l\u00e0 c\u00f3 nhi\u1ec1u c\u00e1ch kh\u00e1c nhau \u0111\u1ec3 bi\u1ec3u di\u1ec5n s\u1ed1 th\u1ef1c trong to\u00e1n h\u1ecdc. Trong \u0111\u00f3 hai c\u00e1ch ph\u1ed5 bi\u1ebfn nh\u1ea5t l\u00e0 d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 v\u00e0 d\u01b0\u1edbi d\u1ea1ng th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n.<\/p>\n

D\u1ea1ng ph\u00e2n s\u1ed1<\/h3>\n

M\u1ed9t s\u1ed1 th\u1ef1c d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 l\u00e0 m\u1ed9t s\u1ed1 c\u00f3 th\u1ec3 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng t\u1ec9 l\u1ec7 c\u1ee7a hai s\u1ed1 nguy\u00ean, trong \u0111\u00f3 m\u1eabu s\u1ed1 kh\u00e1c 0. V\u00ed d\u1ee5, s\u1ed1 43\u200b l\u00e0 m\u1ed9t s\u1ed1 th\u1ef1c d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1, v\u00ec n\u00f3 c\u00f3 th\u1ec3 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng t\u1ec9 l\u1ec7 c\u1ee7a hai s\u1ed1 nguy\u00ean 3 v\u00e0 4.<\/p>\n

\"so-thuc-la-gi-5\"<\/picture><\/a><\/p>\n

T\u1eadp h\u1ee3p c\u00e1c s\u1ed1 th\u1ef1c d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9, k\u00ed hi\u1ec7u l\u00e0 Q. T\u1eadp h\u1ee3p s\u1ed1 h\u1eefu t\u1ec9 l\u00e0 t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p s\u1ed1 th\u1ef1c, ngh\u0129a l\u00e0 m\u1ecdi s\u1ed1 h\u1eefu t\u1ec9 \u0111\u1ec1u l\u00e0 s\u1ed1 th\u1ef1c, nh\u01b0ng kh\u00f4ng ph\u1ea3i m\u1ecdi s\u1ed1 th\u1ef1c \u0111\u1ec1u \u0111\u01b0\u1ee3c coi l\u00e0 s\u1ed1 h\u1eefu t\u1ec9.<\/p>\n

D\u1ea1ng th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n<\/h3>\n

M\u1ed9t s\u1ed1 th\u1ef1c d\u01b0\u1edbi d\u1ea1ng th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n l\u00e0 m\u1ed9t s\u1ed1 c\u00f3 th\u1ec3 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng m\u1ed9t chu\u1ed7i c\u00e1c ch\u1eef s\u1ed1 sau d\u1ea5u ph\u1ea9y, m\u00e0 chu\u1ed7i n\u00e0y kh\u00f4ng c\u00f3 quy lu\u1eadt l\u1eb7p l\u1ea1i v\u00e0 kh\u00f4ng k\u1ebft th\u00fac.<\/p>\n

\"so-thuc-la-gi-6\"<\/picture><\/a><\/p>\n

V\u00ed d\u1ee5 s\u1ed1 \u03c0 l\u00e0 m\u1ed9t s\u1ed1 th\u1ef1c d\u01b0\u1edbi d\u1ea1ng th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n, v\u00ec n\u00f3 c\u00f3 th\u1ec3 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng 3.1415926535897932384626433832795\u2026 \u0110\u00e2y l\u00e0 chu\u1ed7i s\u1ed1 kh\u00f4ng c\u00f3 quy lu\u1eadt l\u1eb7p l\u1ea1i v\u00e0 kh\u00f4ng k\u1ebft th\u00fac. Ch\u00fang t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 th\u1ef1c d\u01b0\u1edbi d\u1ea1ng th\u1eadp ph\u00e2n v\u00f4 h\u1ea1n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u1eadp h\u1ee3p s\u1ed1 v\u00f4 t\u1ec9, k\u00ed hi\u1ec7u l\u00e0 I. Tuy nhi\u00ean, t\u1eadp h\u1ee3p s\u1ed1 v\u00f4 t\u1ec9 c\u0169ng l\u00e0 t\u1eadp h\u1ee3p con c\u1ee7a t\u1eadp h\u1ee3p s\u1ed1 th\u1ef1c, ngh\u0129a l\u00e0 m\u1ecdi s\u1ed1 v\u00f4 t\u1ec9 \u0111\u1ec1u l\u00e0 s\u1ed1 th\u1ef1c. Nh\u01b0ng c\u00f3 m\u1ed9t \u0111i\u1ec1u quan tr\u1ecdng l\u00e0 kh\u00f4ng ph\u1ea3i m\u1ecdi s\u1ed1 th\u1ef1c \u0111\u1ec1u l\u00e0 s\u1ed1 v\u00f4 t\u1ec9.<\/p>\n

Ph\u00e9p t\u00ednh s\u1ed1 th\u1ef1c l\u00e0 g\u00ec?<\/h2>\n

Ph\u00e9p t\u00ednh s\u1ed1 th\u1ef1c \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng trong to\u00e1n h\u1ecdc v\u00e0 cho ph\u00e9p ch\u00fang ta th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p to\u00e1n v\u00e0 t\u00ednh to\u00e1n tr\u00ean s\u1ed1 th\u1ef1c. Khi t\u00ednh to\u00e1n v\u1edbi s\u1ed1 th\u1ef1c, ch\u00fang ta c\u00f3 th\u1ec3 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh c\u01a1 b\u1ea3n nh\u01b0 c\u1ed9ng, tr\u1eeb, nh\u00e2n v\u00e0 chia, c\u0169ng nh\u01b0 c\u00e1c ph\u00e9p t\u00ednh ph\u1ee9c t\u1ea1p h\u01a1n.<\/p>\n

C\u1ed9ng, tr\u1eeb, nh\u00e2n v\u00e0 chia trong s\u1ed1 th\u1ef1c<\/h3>\n

Hi\u1ec3u \u0111\u01b0\u1ee3c s\u1ed1 th\u1ef1c l\u00e0 g\u00ec trong to\u00e1n h\u1ecdc s\u1ebd gi\u00fap b\u1ea1n c\u00f3 c\u00e1i nh\u00ecn chi ti\u1ebft h\u01a1n v\u1ec1 \u0111\u1ea1i s\u1ed1 n\u00e0y. Th\u00f4ng th\u01b0\u1eddng ch\u00fang ta c\u00f3 th\u1ec3 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p to\u00e1n c\u01a1 b\u1ea3n nh\u01b0 c\u1ed9ng, tr\u1eeb, nh\u00e2n v\u00e0 chia tr\u00ean t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 th\u1ef1c. Ch\u00fang c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng s\u1ed1, bao g\u1ed3m c\u1ea3 c\u00e1c s\u1ed1 nguy\u00ean, ph\u00e2n s\u1ed1 v\u00e0 s\u1ed1 th\u1eadp ph\u00e2n.<\/p>\n

C\u1ed9ng trong s\u1ed1 th\u1ef1c: Ph\u00e9p c\u1ed9ng trong s\u1ed1 th\u1ef1c \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n b\u1eb1ng c\u00e1ch k\u1ebft h\u1ee3p hai s\u1ed1 th\u1ef1c l\u1ea1i v\u1edbi nhau \u0111\u1ec3 t\u1ea1o th\u00e0nh m\u1ed9t t\u1ed5ng. Khi c\u1ed9ng hai s\u1ed1 th\u1ef1c, ta th\u1ef1c hi\u1ec7n vi\u1ec7c \u0111\u1eb7t c\u00e1c s\u1ed1 th\u1ef1c \u0111\u00f3 c\u00f9ng m\u1ed9t v\u1ecb tr\u00ed tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng s\u1ed1 v\u00e0 di chuy\u1ec3n theo h\u01b0\u1edbng ph\u00f9 h\u1ee3p \u0111\u1ec3 t\u00ecm t\u1ed5ng c\u1ee7a ch\u00fang.<\/p>\n

\"so-thuc-la-gi-7\"<\/picture><\/a><\/p>\n

Tr\u1eeb trong s\u1ed1 th\u1ef1c: Ph\u00e9p tr\u1eeb trong s\u1ed1 th\u1ef1c \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ecm hi\u1ec7u gi\u1eefa hai s\u1ed1 th\u1ef1c. \u0110\u1ec3 th\u1ef1c hi\u1ec7n ph\u00e9p tr\u1eeb, ta \u0111\u1eb7t hai s\u1ed1 th\u1ef1c c\u00f9ng m\u1ed9t v\u1ecb tr\u00ed tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng s\u1ed1 v\u00e0 di chuy\u1ec3n theo h\u01b0\u1edbng ng\u01b0\u1ee3c l\u1ea1i \u0111\u1ec3 t\u00ecm hi\u1ec7u c\u1ee7a ch\u00fang.<\/p>\n

Nh\u00e2n trong s\u1ed1 th\u1ef1c: Ph\u00e9p nh\u00e2n trong s\u1ed1 th\u1ef1c \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh t\u00edch c\u1ee7a hai s\u1ed1 th\u1ef1c. Khi nh\u00e2n hai s\u1ed1 th\u1ef1c, ta \u0111\u1eb7t ch\u00fang c\u00f9ng m\u1ed9t v\u1ecb tr\u00ed tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng s\u1ed1 v\u00e0 di chuy\u1ec3n theo h\u01b0\u1edbng ph\u00f9 h\u1ee3p \u0111\u1ec3 t\u00ecm t\u00edch c\u1ee7a ch\u00fang.<\/p>\n

Chia trong s\u1ed1 th\u1ef1c: Ph\u00e9p chia trong s\u1ed1 th\u1ef1c \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh th\u01b0\u01a1ng c\u1ee7a hai s\u1ed1 th\u1ef1c. \u0110\u1ec3 th\u1ef1c hi\u1ec7n ph\u00e9p chia, ta \u0111\u1eb7t s\u1ed1 b\u1ecb chia v\u00e0 s\u1ed1 chia c\u00f9ng m\u1ed9t v\u1ecb tr\u00ed tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng s\u1ed1 v\u00e0 di chuy\u1ec3n theo h\u01b0\u1edbng ph\u00f9 h\u1ee3p \u0111\u1ec3 t\u00ecm th\u01b0\u01a1ng c\u1ee7a ch\u00fang.<\/p>\n

C\u00e1c t\u00ednh ch\u1ea5t v\u00e0 quy t\u1eafc ph\u00e9p t\u00ednh s\u1ed1 th\u1ef1c<\/h3>\n

C\u00e1c ph\u00e9p t\u00ednh s\u1ed1 th\u1ef1c c\u00f3 m\u1ed9t s\u1ed1 t\u00ednh ch\u1ea5t v\u00e0 quy t\u1eafc quan tr\u1ecdng nh\u01b0 sau:<\/p>\n

T\u00ednh ch\u1ea5t giao ho\u00e1n: Ph\u00e9p c\u1ed9ng v\u00e0 ph\u00e9p nh\u00e2n trong s\u1ed1 th\u1ef1c c\u00f3 t\u00ednh ch\u1ea5t giao ho\u00e1n, t\u1ee9c l\u00e0 th\u1ee9 t\u1ef1 c\u1ee7a c\u00e1c s\u1ed1 th\u1ef1c kh\u00f4ng \u1ea3nh h\u01b0\u1edfng \u0111\u1ebfn k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng. V\u00ed d\u1ee5: a + b = b + a v\u00e0 a \u00d7 b = b \u00d7 a.<\/p>\n

T\u00ednh ch\u1ea5t k\u1ebft h\u1ee3p: Ph\u00e9p c\u1ed9ng v\u00e0 ph\u00e9p nh\u00e2n trong s\u1ed1 th\u1ef1c c\u00f3 t\u00ednh ch\u1ea5t k\u1ebft h\u1ee3p, t\u1ee9c l\u00e0 b\u1ea1n c\u00f3 th\u1ec3 th\u1ef1c hi\u1ec7n c\u00e1c ph\u00e9p t\u00ednh li\u00ean ti\u1ebfp v\u00e0 th\u1ee9 t\u1ef1 c\u1ee7a ch\u00fang kh\u00f4ng \u1ea3nh h\u01b0\u1edfng \u0111\u1ebfn k\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng. V\u00ed d\u1ee5: (a + b) + c = a + (b + c) v\u00e0 (a \u00d7 b) \u00d7 c = a \u00d7 (b \u00d7 c).<\/p>\n

\"so-thuc-la-gi-8\"<\/picture><\/a><\/p>\n

T\u00ednh ch\u1ea5t ph\u00e2n ph\u1ed1i: Ph\u00e9p nh\u00e2n mang t\u00ednh ch\u1ea5t ph\u00e2n ph\u1ed1i \u0111\u1eb7c bi\u1ec7t \u0111\u1ed1i v\u1edbi ph\u00e9p c\u1ed9ng. Ngh\u0129a l\u00e0 a \u00d7 (b + c) = (a \u00d7 b) + (a \u00d7 c). T\u00ednh ch\u1ea5t n\u00e0y cho ph\u00e9p ch\u00fang ta ph\u00e2n ph\u1ed1i m\u1ed9t s\u1ed1 th\u1ef1c l\u00ean c\u00e1c ph\u00e9p c\u1ed9ng \u0111\u1ec3 d\u1ec5 d\u00e0ng t\u00ednh to\u00e1n.<\/p>\n

Quy t\u1eafc \u01b0u ti\u00ean: Ch\u00fang ta tu\u00e2n theo quy t\u1eafc \u01b0u ti\u00ean c\u00e1c ph\u00e9p t\u00ednh trong s\u1ed1 th\u1ef1c. Th\u1ee9 t\u1ef1 \u01b0u ti\u00ean l\u00e0 nh\u00e2n v\u00e0 chia tr\u01b0\u1edbc, sau \u0111\u00f3 \u0111\u1ebfn c\u1ed9ng v\u00e0 tr\u1eeb.<\/p>\n

Quy t\u1eafc \u0111\u1ed1i s\u1ed1 \u0111\u1ea3o: Trong s\u1ed1 th\u1ef1c, ngh\u1ecbch \u0111\u1ea3o c\u1ee7a m\u1ed9t s\u1ed1 th\u1ef1c kh\u00f4ng b\u1eb1ng kh\u00f4ng (kh\u00e1c 0) l\u00e0 s\u1ed1 th\u1ef1c chia cho n\u00f3 s\u1ebd cho k\u1ebft qu\u1ea3 l\u00e0 1.<\/p>\n

Quy t\u1eafc s\u1ed1 h\u1ecdc c\u0103n b\u1ea3n: C\u00e1c quy t\u1eafc s\u1ed1 h\u1ecdc c\u0103n b\u1ea3n m\u00e0 ch\u00fang ta th\u01b0\u1eddng d\u00f9ng l\u00e0 lu\u1eadt ph\u00e2n ph\u1ed1i, quy t\u1eafc nh\u00e2n 0, quy t\u1eafc chia cho 1 v\u00e0 c\u00e1c quy t\u1eafc kh\u00e1c c\u0169ng \u00e1p d\u1ee5ng khi th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh s\u1ed1 th\u1ef1c.<\/p>\n

\u1ee8ng d\u1ee5ng c\u1ee7a s\u1ed1 th\u1ef1c<\/h2>\n

Sau khi hi\u1ec3u r\u00f5 v\u1ec1 s\u1ed1 th\u1ef1c l\u00e0 g\u00ec, ta c\u00f3 th\u1ec3 th\u1ea5y \u0111\u01b0\u1ee3c s\u1ed1 th\u1ef1c kh\u00f4ng ch\u1ec9 l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m trong to\u00e1n h\u1ecdc m\u00e0 c\u00f2n c\u00f3 r\u1ea5t nhi\u1ec1u \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf m\u1ea1nh m\u1ebd. T\u1eeb c\u00e1c l\u0129nh v\u1ef1c khoa h\u1ecdc t\u1ef1 nhi\u00ean \u0111\u1ebfn c\u00f4ng ngh\u1ec7 th\u00f4ng tin v\u00e0 k\u1ef9 thu\u1eadt, s\u1ed1 th\u1ef1c \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c m\u00f4 h\u00ecnh h\u00f3a, t\u00ednh to\u00e1n v\u00e0 gi\u1ea3i quy\u1ebft m\u1ed9t s\u1ed1 v\u1ea5n \u0111\u1ec1 trong nhi\u1ec1u kh\u00eda c\u1ea1nh kh\u00e1c nhau.<\/p>\n

S\u1ed1 th\u1ef1c trong khoa h\u1ecdc v\u00e0 k\u1ef9 thu\u1eadt<\/h3>\n

Trong l\u0129nh v\u1ef1c khoa h\u1ecdc v\u1eadt l\u00fd, \u0111a s\u1ed1 c\u00e1c h\u1eb1ng s\u1ed1 v\u1eadt l\u00fd nh\u01b0 c\u00e1c bi\u1ebfn ho\u1eb7c h\u1eb1ng s\u1ed1 \u0111\u1ec1u c\u00f3 th\u1ec3 m\u00f4 h\u00ecnh ho\u00e1 s\u1ed1 th\u1ef1c v\u00e0o c\u00e1c v\u1ea5n \u0111\u1ec1 nh\u01b0 v\u1ecb tr\u00ed, kh\u1ed1i l\u01b0\u1ee3ng, t\u1ed1c \u0111\u1ed9 v\u00e0 \u0111i\u1ec7n t\u00edch. Tr\u00ean th\u1ef1c t\u1ebf, c\u00e1c l\u00fd thuy\u1ebft v\u1eadt l\u00fd c\u01a1 b\u1ea3n nh\u01b0 c\u01a1 h\u1ecdc Newton, c\u01a1 h\u1ecdc l\u01b0\u1ee3ng t\u1eed, l\u00fd thuy\u1ebft t\u01b0\u01a1ng \u0111\u1ed1i, \u0111\u1ec1u d\u1ef1a tr\u00ean c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc ch\u1ee9a c\u00e1c s\u1ed1 th\u1ef1c.<\/p>\n

\"so-thuc-la-gi-9\"<\/picture><\/a><\/p>\n

Trong k\u1ef9 thu\u1eadt, s\u1ed1 th\u1ef1c \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 thi\u1ebft k\u1ebf v\u00e0 ph\u00e1t tri\u1ec3n c\u00e1c s\u1ea3n ph\u1ea9m b\u1eb1ng c\u00f4ng ngh\u1ec7 h\u1ed7 tr\u1ee3 m\u00e1y t\u00ednh. C\u00e1c k\u1ef9 s\u01b0 c\u00f3 th\u1ec3 t\u1ea1o m\u00f4 h\u00ecnh v\u00e0 m\u00f4 ph\u1ecfng, thu th\u1eadp d\u1eef li\u1ec7u, ph\u00e1t tri\u1ec3n c\u00e1c ch\u01b0\u01a1ng tr\u00ecnh ho\u1eb7c \u1ee9ng d\u1ee5ng ph\u1ea7n m\u1ec1m m\u1edbi v\u1edbi \u0111\u1ea1i s\u1ed1 n\u00e0y.<\/p>\n

S\u1ed1 th\u1ef1c trong t\u00e0i ch\u00ednh v\u00e0 kinh t\u1ebf<\/h3>\n

Trong t\u00e0i ch\u00ednh v\u00e0 kinh t\u1ebf, s\u1ed1 th\u1ef1c \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 t\u00ednh to\u00e1n c\u00e1c ch\u1ec9 s\u1ed1 nh\u01b0 l\u00e3i su\u1ea5t, t\u1ef7 gi\u00e1 h\u1ed1i \u0111o\u00e1i, gi\u00e1 c\u1ea3, l\u1ee3i nhu\u1eadn, chi ph\u00ed v\u00e0 c\u00e1c lo\u1ea1i gi\u00e1 tr\u1ecb kh\u00e1c. C\u00e1c s\u1ed1 th\u1ef1c gi\u00fap ph\u1ea3n \u00e1nh t\u00ecnh h\u00ecnh kinh t\u1ebf c\u1ee7a m\u1ed9t \u0111\u1ed1i t\u01b0\u1ee3ng n\u00e0o c\u00f3 v\u1edbi m\u1ed9t \u0111\u00e1nh gi\u00e1 c\u1ee5 th\u1ec3 v\u00e0 kh\u00e1ch quan.<\/p>\n

\"so-thuc-la-gi-10\"<\/picture><\/a><\/p>\n

Trong kinh t\u1ebf to\u00e1n, s\u1ed1 th\u1ef1c \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 x\u00e2y d\u1ef1ng c\u00e1c m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc \u0111\u1ec3 ph\u00e2n t\u00edch c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng kinh t\u1ebf v\u1edbi c\u00e1c m\u00f4 h\u00ecnh kh\u00e1c nhau. M\u1ed7i m\u00f4 h\u00ecnh trong l\u0129nh v\u1ef1c n\u00e0y \u0111\u1ec1u gi\u00fap gi\u1ea3i th\u00edch c\u00e1c nguy\u00ean nh\u00e2n, quy lu\u1eadt, h\u1ec7 qu\u1ea3 v\u00e0 d\u1ef1 b\u00e1o c\u00e1c k\u1ebft qu\u1ea3 c\u1ee7a c\u00e1c ch\u00ednh s\u00e1ch kinh t\u1ebf.<\/p>\n

K\u1ebft lu\u1eadn<\/h2>\n

Trong b\u00e0i vi\u1ebft n\u00e0y, ch\u00fang ta \u0111\u00e3 t\u00ecm hi\u1ec3u v\u1ec1 s\u1ed1 th\u1ef1c l\u00e0 g\u00ec<\/strong> v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn li\u00ean quan \u0111\u1ebfn s\u1ed1 th\u1ef1c. \u1ee8ng d\u1ee5ng c\u1ee7a s\u1ed1 th\u1ef1c l\u00e0 r\u1ea5t \u0111a d\u1ea1ng v\u00e0 quan tr\u1ecdng trong nhi\u1ec1u l\u0129nh v\u1ef1c. N\u00f3 gi\u00fap ch\u00fang ta m\u00f4 h\u00ecnh h\u00f3a th\u1ebf gi\u1edbi th\u1ef1c, gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n ph\u1ee9c t\u1ea1p v\u00e0 ph\u00e1t tri\u1ec3n c\u00e1c c\u00f4ng ngh\u1ec7 v\u00e0 \u1ee9ng d\u1ee5ng ti\u00ean ti\u1ebfn. Mong r\u1eb1ng v\u1edbi nh\u1eefng th\u00f4ng tin tr\u00ean c\u1ee7a Ho\u00e0ng H\u00e0 Mobile s\u1ebd gi\u00fap b\u1ea1n c\u00f3 th\u00eam nh\u1eefng ki\u1ebfn th\u1ee9c b\u1ed5 \u00edch v\u1ec1 \u0111\u1ea1i s\u1ed1 n\u00e0y.<\/p>\n

Xem th\u00eam:<\/p>\n

C\u00e1ch gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 2 nhanh ch\u00f3ng nh\u1ea5t<\/a><\/p>\n

C\u00e1ch t\u00ednh ph\u1ea7n tr\u0103m (%) d\u1ec5 d\u00e0ng, ch\u00ednh x\u00e1c nh\u1ea5t<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

S\u1ed1 th\u1ef1c l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m quan tr\u1ecdng trong to\u00e1n h\u1ecdc, \u0111\u00f3ng vai tr\u00f2 c\u01a1 b\u1ea3n trong c\u00f4ng vi\u1ec7c m\u00f4 h\u00ecnh h\u00f3a v\u00e0 \u0111o l\u01b0\u1eddng th\u1ebf gi\u1edbi xung quanh ch\u00fang ta. S\u1ed1 th\u1ef1c bao g\u1ed3m t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u hi\u1ec7n tr\u00ean m\u1ed9t s\u1ed1 tr\u1ee5c li\u00ean t\u1ee5c v\u00e0 kh\u00f4ng b\u1ecb gi\u1edbi h\u1ea1n […]<\/p>\n","protected":false},"author":86,"featured_media":298523,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-298489","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"\nS\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c<\/title>\n<meta name=\"description\" content=\"B\u1ea1n \u0111\u00e3 bi\u1ebft s\u1ed1 th\u1ef1c l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 v\u00f4 t\u1ec9 ch\u01b0a? B\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 s\u1ed1 th\u1ef1c v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n li\u00ean quan.\" \/>\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\/so-thuc-la-gi\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c\" \/>\n<meta property=\"og:description\" content=\"B\u1ea1n \u0111\u00e3 bi\u1ebft s\u1ed1 th\u1ef1c l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 v\u00f4 t\u1ec9 ch\u01b0a? B\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 s\u1ed1 th\u1ef1c v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n li\u00ean quan.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\" \/>\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=\"2023-12-20T14:04:51+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-12-20T14:04:53+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.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=\"C\u00f9 Ho\u00e0ng T\u00e2m\" \/>\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=\"C\u00f9 Ho\u00e0ng T\u00e2m\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc\" \/>\n\t<meta name=\"twitter:data2\" content=\"15 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\/so-thuc-la-gi\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\"},\"author\":{\"name\":\"C\u00f9 Ho\u00e0ng T\u00e2m\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/c713452346275d296df23ce2d1aa2a9b\"},\"headline\":\"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c\",\"datePublished\":\"2023-12-20T14:04:51+00:00\",\"dateModified\":\"2023-12-20T14:04:53+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\"},\"wordCount\":3484,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\"},\"image\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg\",\"articleSection\":[\"Kh\u00e1m Ph\u00e1\",\"Ki\u1ebfn Th\u1ee9c\"],\"inLanguage\":\"vi\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#respond\"]}],\"copyrightYear\":\"2023\",\"copyrightHolder\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#organization\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\",\"name\":\"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c\",\"isPartOf\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg\",\"datePublished\":\"2023-12-20T14:04:51+00:00\",\"dateModified\":\"2023-12-20T14:04:53+00:00\",\"description\":\"B\u1ea1n \u0111\u00e3 bi\u1ebft s\u1ed1 th\u1ef1c l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 v\u00f4 t\u1ec9 ch\u01b0a? B\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 s\u1ed1 th\u1ef1c v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n li\u00ean quan.\",\"breadcrumb\":{\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#breadcrumb\"},\"inLanguage\":\"vi\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"vi\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#primaryimage\",\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg\",\"contentUrl\":\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg\",\"width\":1200,\"height\":628,\"caption\":\"so-thuc-la-gi-1\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#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\":\"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c\"}]},{\"@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\/c713452346275d296df23ce2d1aa2a9b\",\"name\":\"C\u00f9 Ho\u00e0ng T\u00e2m\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"vi\",\"@id\":\"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/65337c0f2ce9ad315a486998990cc2e9?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/65337c0f2ce9ad315a486998990cc2e9?s=96&d=mm&r=g\",\"caption\":\"C\u00f9 Ho\u00e0ng T\u00e2m\"},\"url\":\"https:\/\/hoanghamobile.com\/tin-tuc\/author\/cu-hoang-tam\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c","description":"B\u1ea1n \u0111\u00e3 bi\u1ebft s\u1ed1 th\u1ef1c l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 v\u00f4 t\u1ec9 ch\u01b0a? B\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 s\u1ed1 th\u1ef1c v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n li\u00ean quan.","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\/so-thuc-la-gi\/","og_locale":"vi_VN","og_type":"article","og_title":"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c","og_description":"B\u1ea1n \u0111\u00e3 bi\u1ebft s\u1ed1 th\u1ef1c l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 v\u00f4 t\u1ec9 ch\u01b0a? B\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 s\u1ed1 th\u1ef1c v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n li\u00ean quan.","og_url":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/","og_site_name":"Tin t\u1ee9c c\u00f4ng ngh\u1ec7 - HoangHaMobile","article_publisher":"https:\/\/www.facebook.com\/hoanghamobilecom","article_published_time":"2023-12-20T14:04:51+00:00","article_modified_time":"2023-12-20T14:04:53+00:00","og_image":[{"width":1200,"height":628,"url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg","type":"image\/jpeg"}],"author":"C\u00f9 Ho\u00e0ng T\u00e2m","twitter_card":"summary_large_image","twitter_misc":{"\u0110\u01b0\u1ee3c vi\u1ebft b\u1edfi":"C\u00f9 Ho\u00e0ng T\u00e2m","\u01af\u1edbc t\u00ednh th\u1eddi gian \u0111\u1ecdc":"15 ph\u00fat"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#article","isPartOf":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/"},"author":{"name":"C\u00f9 Ho\u00e0ng T\u00e2m","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/c713452346275d296df23ce2d1aa2a9b"},"headline":"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c","datePublished":"2023-12-20T14:04:51+00:00","dateModified":"2023-12-20T14:04:53+00:00","mainEntityOfPage":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/"},"wordCount":3484,"commentCount":0,"publisher":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization"},"image":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#primaryimage"},"thumbnailUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg","articleSection":["Kh\u00e1m Ph\u00e1","Ki\u1ebfn Th\u1ee9c"],"inLanguage":"vi","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#respond"]}],"copyrightYear":"2023","copyrightHolder":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#organization"}},{"@type":"WebPage","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/","url":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/","name":"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c","isPartOf":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#website"},"primaryImageOfPage":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#primaryimage"},"image":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#primaryimage"},"thumbnailUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg","datePublished":"2023-12-20T14:04:51+00:00","dateModified":"2023-12-20T14:04:53+00:00","description":"B\u1ea1n \u0111\u00e3 bi\u1ebft s\u1ed1 th\u1ef1c l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 v\u00f4 t\u1ec9 ch\u01b0a? B\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 s\u1ed1 th\u1ef1c v\u00e0 m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n li\u00ean quan.","breadcrumb":{"@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#breadcrumb"},"inLanguage":"vi","potentialAction":[{"@type":"ReadAction","target":["https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/"]}]},{"@type":"ImageObject","inLanguage":"vi","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#primaryimage","url":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg","contentUrl":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/so-thuc-la-gi-1.jpg","width":1200,"height":628,"caption":"so-thuc-la-gi-1"},{"@type":"BreadcrumbList","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/so-thuc-la-gi\/#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":"S\u1ed1 th\u1ef1c l\u00e0 g\u00ec? M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n h\u1ecdc ph\u1ed5 bi\u1ebfn v\u1ec1 s\u1ed1 th\u1ef1c"}]},{"@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\/c713452346275d296df23ce2d1aa2a9b","name":"C\u00f9 Ho\u00e0ng T\u00e2m","image":{"@type":"ImageObject","inLanguage":"vi","@id":"https:\/\/hoanghamobile.com\/tin-tuc\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/65337c0f2ce9ad315a486998990cc2e9?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/65337c0f2ce9ad315a486998990cc2e9?s=96&d=mm&r=g","caption":"C\u00f9 Ho\u00e0ng T\u00e2m"},"url":"https:\/\/hoanghamobile.com\/tin-tuc\/author\/cu-hoang-tam\/"}]}},"_links":{"self":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/posts\/298489","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\/86"}],"replies":[{"embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/comments?post=298489"}],"version-history":[{"count":0,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/posts\/298489\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/media\/298523"}],"wp:attachment":[{"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/media?parent=298489"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/categories?post=298489"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hoanghamobile.com\/tin-tuc\/wp-json\/wp\/v2\/tags?post=298489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}