{"id":567247,"date":"2026-07-22T09:21:51","date_gmt":"2026-07-22T02:21:51","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=567247"},"modified":"2026-07-22T15:02:57","modified_gmt":"2026-07-22T08:02:57","slug":"gia-tri-tuyet-doi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/gia-tri-tuyet-doi\/","title":{"rendered":"Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 c\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp"},"content":{"rendered":"

Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/b> c\u1ee7a m\u1ed9t s\u1ed1 a, k\u00fd hi\u1ec7u |a|, l\u00e0 kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m bi\u1ec3u di\u1ec5n s\u1ed1 a \u0111\u1ebfn \u0111i\u1ec3m 0 tr\u00ean tr\u1ee5c s\u1ed1. Do \u0111\u1eb7c tr\u01b0ng c\u1ee7a kho\u1ea3ng c\u00e1ch, \u0111\u1ea1i l\u01b0\u1ee3ng n\u00e0y lu\u00f4n nh\u1eadn gi\u00e1 tr\u1ecb kh\u00f4ng \u00e2m. C\u1ee5 th\u1ec3, |a| = a n\u1ebfu a \u2265 0 v\u00e0 |a| = \u2212a n\u1ebfu a < 0. \u0110\u00e2y l\u00e0 m\u1ed9t n\u1ed9i dung n\u1ec1n t\u1ea3ng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n l\u1edbp 6 v\u00e0 l\u1edbp 7. B\u00e0i vi\u1ebft s\u1ebd gi\u00fap t\u00ecm hi\u1ec3u kh\u00e1i ni\u1ec7m, c\u00e1c t\u00ednh ch\u1ea5t, c\u00e1ch hi\u1ec3u theo h\u00ecnh h\u1ecdc, ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 ch\u1ee9a d\u1ea5u gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u00f9ng m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp k\u00e8m h\u01b0\u1edbng d\u1eabn gi\u1ea3i.<\/span><\/p>\n

Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i l\u00e0 g\u00ec?<\/b><\/h2>\n

Tr\u00ean tr\u1ee5c s\u1ed1, kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn v\u1ecb tr\u00ed 0 th\u1ec3 hi\u1ec7n \u0111\u1ed9 l\u1edbn c\u1ee7a s\u1ed1 \u0111\u00f3 m\u00e0 kh\u00f4ng ph\u1ee5 thu\u1ed9c v\u00e0o d\u1ea5u \u00e2m hay d\u01b0\u01a1ng. V\u00ec kho\u1ea3ng c\u00e1ch lu\u00f4n kh\u00f4ng \u00e2m n\u00ean k\u1ebft qu\u1ea3 nh\u1eadn \u0111\u01b0\u1ee3c lu\u00f4n l\u1edbn h\u01a1n ho\u1eb7c b\u1eb1ng 0.<\/span><\/p>\n

C\u00e1c s\u1ed1 \u0111\u1ed1i nhau c\u00f3 v\u1ecb tr\u00ed \u0111\u1ed1i x\u1ee9ng qua \u0111i\u1ec3m 0 n\u00ean ch\u00fang c\u00e1ch \u0111i\u1ec3m 0 m\u1ed9t kho\u1ea3ng b\u1eb1ng nhau. Do \u0111\u00f3, ch\u00fang c\u00f3 c\u00f9ng \u0111\u1ed9 l\u1edbn khi x\u00e9t theo kho\u1ea3ng c\u00e1ch tr\u00ean tr\u1ee5c s\u1ed1.<\/span><\/p>\n

V\u00ed d\u1ee5:<\/span><\/p>\n

    \n
  • |5| = 5 v\u00ec s\u1ed1 5 c\u00e1ch \u0111i\u1ec3m 0 m\u1ed9t kho\u1ea3ng l\u00e0 5 \u0111\u01a1n v\u1ecb.<\/span><\/li>\n
  • |-5| = 5 v\u00ec s\u1ed1 -5 c\u0169ng c\u00e1ch \u0111i\u1ec3m 0 m\u1ed9t kho\u1ea3ng l\u00e0 5 \u0111\u01a1n v\u1ecb.<\/span><\/li>\n<\/ul>\n

    \"gia-tri-tuyet-doi-1\"<\/p>\n

    \u0110\u1ecbnh ngh\u0129a gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/b><\/h2>\n

    Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a m\u1ed9t s\u1ed1 th\u1ec3 hi\u1ec7n kho\u1ea3ng c\u00e1ch c\u1ee7a s\u1ed1 \u0111\u00f3 so v\u1edbi \u0111i\u1ec3m 0 tr\u00ean tr\u1ee5c s\u1ed1. \u0110\u1ec3 x\u00e1c \u0111\u1ecbnh k\u1ebft qu\u1ea3, ta d\u1ef1a v\u00e0o d\u1ea5u c\u1ee7a s\u1ed1 \u0111\u00e3 cho v\u00e0 \u00e1p d\u1ee5ng c\u00e1c quy t\u1eafc sau:<\/span><\/p>\n

      \n
    • Khi (a \u2265 0), s\u1ed1 \u0111\u00f3 kh\u00f4ng \u00e2m n\u00ean (|a| = a).<\/span><\/li>\n
    • Khi (a < 0), k\u1ebft qu\u1ea3 l\u00e0 s\u1ed1 \u0111\u1ed1i c\u1ee7a (a), t\u1ee9c (|a| = -a).<\/span><\/li>\n<\/ul>\n

      V\u00ed d\u1ee5:<\/span><\/p>\n

        \n
      • |7| = 7<\/span><\/li>\n
      • |0| = 0<\/span><\/li>\n
      • |-3| = -(-3) = 3<\/span><\/li>\n<\/ul>\n

        Nh\u01b0 v\u1eady, ph\u00e9p l\u1ea5y gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i gi\u1eef nguy\u00ean c\u00e1c s\u1ed1 kh\u00f4ng \u00e2m, bao g\u1ed3m s\u1ed1 d\u01b0\u01a1ng v\u00e0 s\u1ed1 0, trong khi bi\u1ebfn s\u1ed1 \u00e2m th\u00e0nh s\u1ed1 \u0111\u1ed1i t\u01b0\u01a1ng \u1ee9ng c\u1ee7a n\u00f3. C\u00f3 th\u1ec3 hi\u1ec3u m\u1ed9t c\u00e1ch \u0111\u01a1n gi\u1ea3n, \u0111\u00e2y l\u00e0 thao t\u00e1c lo\u1ea1i b\u1ecf d\u1ea5u \u00e2m c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m \u0111\u1ec3 nh\u1eadn \u0111\u01b0\u1ee3c m\u1ed9t s\u1ed1 kh\u00f4ng \u00e2m.<\/span><\/p>\n

        C\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/b><\/h2>\n

        Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u00f3 m\u1ed9t s\u1ed1 t\u00ednh ch\u1ea5t quan tr\u1ecdng gi\u00fap \u0111\u01a1n gi\u1ea3n h\u00f3a c\u00e1c ph\u00e9p t\u00ednh v\u00e0 gi\u1ea3i quy\u1ebft nhi\u1ec1u b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn s\u1ed1 nguy\u00ean, s\u1ed1 th\u1ef1c.<\/span><\/p>\n

        C\u00e1c t\u00ednh ch\u1ea5t c\u01a1 b\u1ea3n g\u1ed3m:<\/span><\/p>\n

          \n
        • Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i lu\u00f4n kh\u00f4ng \u00e2m: |a| l\u1edbn h\u01a1n ho\u1eb7c b\u1eb1ng 0 v\u1edbi m\u1ecdi s\u1ed1 a. D\u1ea5u b\u1eb1ng x\u1ea3y ra khi a = 0.<\/span><\/li>\n
        • Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a hai s\u1ed1 \u0111\u1ed1i nhau b\u1eb1ng nhau: |a| = |-a|. \u0110i\u1ec1u n\u00e0y c\u00f3 ngh\u0129a l\u00e0 hai s\u1ed1 c\u00f3 c\u00f9ng kho\u1ea3ng c\u00e1ch \u0111\u1ebfn \u0111i\u1ec3m 0 tr\u00ean tr\u1ee5c s\u1ed1 s\u1ebd c\u00f3 c\u00f9ng gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i.<\/span><\/li>\n
        • Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a m\u1ed9t t\u00edch: |a \u00d7 b| = |a| \u00d7 |b|. Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a t\u00edch hai s\u1ed1 b\u1eb1ng t\u00edch c\u00e1c gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a t\u1eebng s\u1ed1.<\/span><\/li>\n
        • B\u1ea5t \u0111\u1eb3ng th\u1ee9c tam gi\u00e1c: |a + b| nh\u1ecf h\u01a1n ho\u1eb7c b\u1eb1ng |a| + |b|. T\u00ednh ch\u1ea5t n\u00e0y cho bi\u1ebft gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a t\u1ed5ng hai s\u1ed1 kh\u00f4ng v\u01b0\u1ee3t qu\u00e1 t\u1ed5ng gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a t\u1eebng s\u1ed1.<\/span><\/li>\n<\/ul>\n

          \"gia-tri-tuyet-doi-2\"<\/p>\n

          \u00dd ngh\u0129a h\u00ecnh h\u1ecdc tr\u00ean tr\u1ee5c s\u1ed1<\/b><\/h2>\n

          Tr\u00ean tr\u1ee5c s\u1ed1, gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i bi\u1ec3u th\u1ecb kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111i\u1ec3m \u0111\u1ebfn \u0111i\u1ec3m g\u1ed1c 0. Do kho\u1ea3ng c\u00e1ch lu\u00f4n l\u00e0 m\u1ed9t \u0111\u1ea1i l\u01b0\u1ee3ng kh\u00f4ng \u00e2m, k\u1ebft qu\u1ea3 nh\u1eadn \u0111\u01b0\u1ee3c kh\u00f4ng ph\u1ee5 thu\u1ed9c v\u00e0o vi\u1ec7c s\u1ed1 ban \u0111\u1ea7u l\u00e0 s\u1ed1 d\u01b0\u01a1ng hay s\u1ed1 \u00e2m.<\/span><\/p>\n

          \u1ede m\u1ee9c t\u1ed5ng qu\u00e1t, gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a hi\u1ec7u gi\u1eefa hai s\u1ed1 th\u1ec3 hi\u1ec7n kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m t\u01b0\u01a1ng \u1ee9ng tr\u00ean tr\u1ee5c s\u1ed1. C\u00e1ch di\u1ec5n gi\u1ea3i n\u00e0y gi\u00fap vi\u1ec7c gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n v\u1ec1 kho\u1ea3ng c\u00e1ch, ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a d\u1ea5u gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i tr\u1edf n\u00ean tr\u1ef1c quan, d\u1ec5 hi\u1ec3u h\u01a1n.<\/span><\/p>\n

          V\u00ed d\u1ee5:<\/span><\/p>\n

            \n
          • |5| = 5 v\u00ec \u0111i\u1ec3m 5 c\u00e1ch \u0111i\u1ec3m 0 m\u1ed9t kho\u1ea3ng 5 \u0111\u01a1n v\u1ecb.<\/span><\/li>\n
          • |-5| = 5 v\u00ec \u0111i\u1ec3m -5 c\u0169ng c\u00e1ch \u0111i\u1ec3m 0 m\u1ed9t kho\u1ea3ng 5 \u0111\u01a1n v\u1ecb.<\/span><\/li>\n
          • |-2 – 3| = 5 cho bi\u1ebft kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m -2 v\u00e0 3 tr\u00ean tr\u1ee5c s\u1ed1 l\u00e0 5 \u0111\u01a1n v\u1ecb.<\/span><\/li>\n<\/ul>\n

            Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a d\u1ea5u gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/b><\/h2>\n

            V\u1edbi ph\u01b0\u01a1ng tr\u00ecnh d\u1ea1ng |x| = a:<\/span><\/p>\n

              \n
            • N\u1ebfu a > 0: ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 hai nghi\u1ec7m x = a ho\u1eb7c x = \u2212a.<\/span><\/li>\n
            • N\u1ebfu a = 0: ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nghi\u1ec7m duy nh\u1ea5t x = 0.<\/span><\/li>\n
            • N\u1ebfu a < 0: ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m (v\u00ec |x| lu\u00f4n kh\u00f4ng \u00e2m).<\/span><\/li>\n<\/ul>\n

              \"gia-tri-tuyet-doi-3\"<\/p>\n

              V\u00ed d\u1ee5 v\u1ec1 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/b><\/h2>\n

              V\u00ed d\u1ee5 1: |\u221212| = 12; |8| = 8.<\/span><\/p>\n

              V\u00ed d\u1ee5 2: Gi\u1ea3i |x| = 5 \u0111\u01b0\u1ee3c x = 5 ho\u1eb7c x = \u22125.<\/span><\/p>\n

              B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng c\u00f3 l\u1eddi gi\u1ea3i<\/b><\/h2>\n

              B\u00e0i 1: T\u00ednh |\u22129| + |4|. L\u1eddi gi\u1ea3i: = 9 + 4 = 13.<\/span><\/p>\n

              B\u00e0i 2: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh |x| = 7. L\u1eddi gi\u1ea3i: x = 7 ho\u1eb7c x = \u22127.<\/span><\/p>\n

              B\u00e0i 3: Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh |x \u2212 2| = 3. L\u1eddi gi\u1ea3i: x \u2212 2 = 3 ho\u1eb7c x \u2212 2 = \u22123, n\u00ean x = 5 ho\u1eb7c x = \u22121.<\/span><\/p>\n

              B\u00e0i 4: T\u00ecm x bi\u1ebft |x| = \u22124. L\u1eddi gi\u1ea3i: v\u00ec gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i kh\u00f4ng th\u1ec3 \u00e2m n\u00ean ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m.<\/span><\/p>\n

              B\u00e0i 5 (tr\u1eafc nghi\u1ec7m): Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a \u221215 l\u00e0 bao nhi\u00eau? A. \u221215 B. 15 C. 0 D. 30. \u0110\u00e1p \u00e1n: B.<\/span><\/p>\n

              \u1ee8ng d\u1ee5ng c\u1ee7a gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/b><\/h2>\n

              Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m quan tr\u1ecdng trong to\u00e1n h\u1ecdc v\u00e0 \u0111\u01b0\u1ee3c v\u1eadn d\u1ee5ng trong nhi\u1ec1u l\u0129nh v\u1ef1c th\u1ef1c t\u1ebf. V\u1edbi kh\u1ea3 n\u0103ng th\u1ec3 hi\u1ec7n \u0111\u1ed9 l\u1edbn c\u1ee7a m\u1ed9t s\u1ed1 m\u00e0 kh\u00f4ng x\u00e9t \u0111\u1ebfn d\u1ea5u, kh\u00e1i ni\u1ec7m n\u00e0y gi\u00fap x\u00e1c \u0111\u1ecbnh kho\u1ea3ng c\u00e1ch, t\u00ednh sai s\u1ed1 v\u00e0 x\u1eed l\u00fd nhi\u1ec1u d\u1ea1ng b\u00e0i to\u00e1n kh\u00e1c nhau.<\/span><\/p>\n

              M\u1ed9t s\u1ed1 \u1ee9ng d\u1ee5ng ph\u1ed5 bi\u1ebfn c\u1ee7a gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i g\u1ed3m:<\/span><\/p>\n

                \n
              • T\u00ednh kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m tr\u00ean tr\u1ee5c s\u1ed1: Kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111i\u1ec3m c\u00f3 t\u1ecda \u0111\u1ed9 (a) v\u00e0 (b) \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1eb1ng gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a hi\u1ec7u gi\u1eefa hai t\u1ecda \u0111\u1ed9 \u0111\u00f3: (|a-b|).<\/span><\/li>\n
              • Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a d\u1ea5u gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i: D\u1ea5u n\u00e0y th\u01b0\u1eddng \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 m\u00f4 t\u1ea3 c\u00e1c \u0111i\u1ec1u ki\u1ec7n v\u1ec1 kho\u1ea3ng c\u00e1ch, t\u1eeb \u0111\u00f3 h\u1ed7 tr\u1ee3 t\u00ecm nghi\u1ec7m c\u1ee7a b\u00e0i to\u00e1n.<\/span><\/li>\n
              • X\u00e1c \u0111\u1ecbnh sai s\u1ed1 trong \u0111o \u0111\u1ea1c: Sai s\u1ed1 \u0111\u01b0\u1ee3c t\u00ednh d\u1ef1a tr\u00ean \u0111\u1ed9 ch\u00eanh l\u1ec7ch gi\u1eefa gi\u00e1 tr\u1ecb \u0111o \u0111\u01b0\u1ee3c v\u00e0 gi\u00e1 tr\u1ecb th\u1ef1c t\u1ebf, trong \u0111\u00f3 s\u1eed d\u1ee5ng gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o k\u1ebft qu\u1ea3 kh\u00f4ng \u00e2m.<\/span><\/li>\n
              • \u1ee8ng d\u1ee5ng trong th\u1ef1c t\u1ebf: Kh\u00e1i ni\u1ec7m n\u00e0y xu\u1ea5t hi\u1ec7n khi t\u00ednh \u0111\u1ed9 ch\u00eanh l\u1ec7ch nhi\u1ec7t \u0111\u1ed9, s\u1ef1 kh\u00e1c bi\u1ec7t v\u1ec1 \u0111i\u1ec3m s\u1ed1, kho\u1ea3ng c\u00e1ch gi\u1eefa c\u00e1c v\u1ecb tr\u00ed ho\u1eb7c m\u1ee9c thay \u0111\u1ed5i c\u1ee7a m\u1ed9t \u0111\u1ea1i l\u01b0\u1ee3ng.<\/span><\/li>\n<\/ul>\n

                \"gia-tri-tuyet-doi-4\"<\/p>\n

                C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i<\/b><\/h2>\n

                Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i l\u00e0 g\u00ec?<\/b><\/h3>\n

                L\u00e0 kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t s\u1ed1 \u0111\u1ebfn s\u1ed1 0 tr\u00ean tr\u1ee5c s\u1ed1, lu\u00f4n kh\u00f4ng \u00e2m.<\/span><\/p>\n

                Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a th\u1ebf n\u00e0o?<\/b><\/h3>\n

                |a| = a n\u1ebfu a \u2265 0, v\u00e0 |a| = \u2212a n\u1ebfu a < 0.<\/span><\/p>\n

                Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u00f3 th\u1ec3 \u00e2m kh\u00f4ng?<\/b><\/h3>\n

                Kh\u00f4ng, gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i lu\u00f4n l\u1edbn h\u01a1n ho\u1eb7c b\u1eb1ng 0.<\/span><\/p>\n

                |\u22125| b\u1eb1ng bao nhi\u00eau?<\/b><\/h3>\n

                B\u1eb1ng 5, v\u00ec s\u1ed1 \u22125 c\u00e1ch 0 m\u1ed9t kho\u1ea3ng b\u1eb1ng 5.<\/span><\/p>\n

                Ph\u01b0\u01a1ng tr\u00ecnh |x| = a c\u00f3 nghi\u1ec7m khi n\u00e0o?<\/b><\/h3>\n

                Khi a \u2265 0; n\u1ebfu a > 0 c\u00f3 hai nghi\u1ec7m x = \u00b1a, n\u1ebfu a < 0 th\u00ec v\u00f4 nghi\u1ec7m.<\/span><\/p>\n

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

                T\u00f3m l\u1ea1i, <\/span>gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i <\/b>|a| l\u00e0 kho\u1ea3ng c\u00e1ch t\u1eeb a \u0111\u1ebfn 0 tr\u00ean tr\u1ee5c s\u1ed1, lu\u00f4n kh\u00f4ng \u00e2m, v\u1edbi |a| = a n\u1ebfu a \u2265 0 v\u00e0 |a| = \u2212a n\u1ebfu a < 0. N\u1eafm v\u1eefng \u0111\u1ecbnh ngh\u0129a v\u00e0 t\u00ednh ch\u1ea5t s\u1ebd gi\u00fap b\u1ea1n gi\u1ea3i t\u1ed1t c\u00e1c b\u00e0i to\u00e1n ch\u1ee9a d\u1ea5u gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i. \u0110\u1ec3 h\u1ecdc th\u00eam, m\u1eddi b\u1ea1n tham kh\u1ea3o c\u00e1c b\u00e0i<\/span> t\u1eadp h\u1ee3p s\u1ed1 nguy\u00ean Z l\u00e0 g\u00ec<\/span><\/a>,<\/span> kh\u00e1i ni\u1ec7m v\u00e0 \u1ee9ng d\u1ee5ng c\u1ee7a s\u1ed1 nguy\u00ean<\/span><\/a> v\u00e0<\/span> c\u00f4ng th\u1ee9c t\u1ed5 h\u1ee3p, ch\u1ec9nh h\u1ee3p<\/span><\/a> tr\u00ean chuy\u00ean m\u1ee5c tin t\u1ee9c c\u1ee7a Ho\u00e0ng H\u00e0 Mobile.\u00a0<\/span><\/p>\n

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

                  \n
                • \n

                  C\u00f4ng th\u1ee9c t\u00ednh v\u1eadn t\u1ed1c: v = s\/t, c\u00e1ch \u0111\u1ed5i \u0111\u01a1n v\u1ecb v\u00e0 v\u00ed d\u1ee5<\/a><\/p>\n<\/li>\n

                • \n

                  H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng: C\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch, di\u1ec7n t\u00edch v\u00e0 v\u00ed d\u1ee5 c\u00f3 l\u1eddi gi\u1ea3i<\/a><\/p>\n<\/li>\n

                • \n

                  Nh\u1ecb th\u1ee9c Newton: c\u00f4ng th\u1ee9c khai tri\u1ec3n v\u00e0 v\u00ed d\u1ee5<\/a><\/p>\n<\/li>\n<\/ul>\n