{"id":1149,"date":"2025-06-05T01:24:18","date_gmt":"2025-06-05T01:24:18","guid":{"rendered":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/2025\/06\/05\/0508-tim-so-khi-biet-tong-va-hieu-bi-quyet-giai-nhanh-bai-toan-lop-4-5-6\/"},"modified":"2025-06-05T01:24:18","modified_gmt":"2025-06-05T01:24:18","slug":"0508-tim-so-khi-biet-tong-va-hieu-bi-quyet-giai-nhanh-bai-toan-lop-4-5-6","status":"publish","type":"post","link":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/2025\/06\/05\/0508-tim-so-khi-biet-tong-va-hieu-bi-quyet-giai-nhanh-bai-toan-lop-4-5-6\/","title":{"rendered":"T\u00ecm S\u1ed1 Khi Bi\u1ebft T\u1ed5ng v\u00e0 Hi\u1ec7u: B\u00ed Quy\u1ebft Gi\u1ea3i Nhanh B\u00e0i To\u00e1n L\u1edbp 4, 5, 6"},"content":{"rendered":"

B\u1ea1n \u0111ang g\u1eb7p kh\u00f3 kh\u0103n v\u1edbi d\u1ea1ng to\u00e1n t\u00ecm hai s\u1ed1 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u? B\u00e0i vi\u1ebft n\u00e0y c\u1ee7a CAUHOI2025.EDU.VN s\u1ebd cung c\u1ea5p ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i chi ti\u1ebft, d\u1ec5 hi\u1ec3u, ph\u00f9 h\u1ee3p cho h\u1ecdc sinh l\u1edbp 4, 5, 6 v\u00e0 c\u1ea3 nh\u1eefng ai mu\u1ed1n \u00f4n l\u1ea1i ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n. Ch\u00fang t\u00f4i s\u1ebd gi\u00fap b\u1ea1n n\u1eafm v\u1eefng c\u00f4ng th\u1ee9c, \u00e1p d\u1ee5ng linh ho\u1ea1t v\u00e0o gi\u1ea3i b\u00e0i t\u1eadp v\u00e0 t\u1ef1 tin chinh ph\u1ee5c m\u1ecdi d\u1ea1ng to\u00e1n li\u00ean quan \u0111\u1ebfn t\u1ed5ng v\u00e0 hi\u1ec7u. C\u00f9ng kh\u00e1m ph\u00e1 b\u00ed quy\u1ebft gi\u1ea3i to\u00e1n hi\u1ec7u qu\u1ea3 ngay sau \u0111\u00e2y!<\/span><\/p>\n

\u00dd \u0111\u1ecbnh t\u00ecm ki\u1ebfm c\u1ee7a ng\u01b0\u1eddi d\u00f9ng:<\/strong><\/p>\n

    \n
  1. <\/span>C\u00e1ch gi\u1ea3i b\u00e0i to\u00e1n t\u00ecm hai s\u1ed1 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u.<\/span><\/li>\n
  2. <\/span>C\u00f4ng th\u1ee9c t\u00ednh s\u1ed1 l\u1edbn, s\u1ed1 b\u00e9 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u.<\/span><\/li>\n
  3. <\/span>B\u00e0i t\u1eadp to\u00e1n l\u1edbp 4, 5, 6 v\u1ec1 <\/span>T\u00ecm S\u1ed1 Khi Bi\u1ebft T\u1ed5ng V\u00e0 Hi\u1ec7u<\/a> (c\u00f3 l\u1eddi gi\u1ea3i).<\/span><\/li>\n
  4. <\/span>\u1ee8ng d\u1ee5ng c\u1ee7a to\u00e1n t\u1ed5ng hi\u1ec7u trong th\u1ef1c t\u1ebf.<\/span><\/li>\n
  5. <\/span>M\u1eb9o gi\u1ea3i nhanh b\u00e0i to\u00e1n t\u1ed5ng hi\u1ec7u.<\/span><\/li>\n<\/ol>\n

    1. T\u1ed5ng Quan V\u1ec1 D\u1ea1ng To\u00e1n T\u00ecm S\u1ed1 Khi Bi\u1ebft T\u1ed5ng v\u00e0 Hi\u1ec7u<\/strong><\/h2>\n

    D\u1ea1ng to\u00e1n \u201ct\u00ecm s\u1ed1 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u\u201d l\u00e0 m\u1ed9t d\u1ea1ng to\u00e1n c\u01a1 b\u1ea3n nh\u01b0ng quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n ti\u1ec3u h\u1ecdc v\u00e0 THCS. D\u1ea1ng to\u00e1n n\u00e0y gi\u00fap r\u00e8n luy\u1ec7n t\u01b0 duy logic, kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 cho h\u1ecdc sinh. Vi\u1ec7c n\u1eafm v\u1eefng ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i d\u1ea1ng to\u00e1n n\u00e0y s\u1ebd t\u1ea1o n\u1ec1n t\u1ea3ng v\u1eefng ch\u1eafc cho vi\u1ec7c h\u1ecdc c\u00e1c d\u1ea1ng to\u00e1n ph\u1ee9c t\u1ea1p h\u01a1n \u1edf c\u00e1c l\u1edbp tr\u00ean.<\/span><\/p>\n

    1.1. \u0110\u1ecbnh Ngh\u0129a<\/strong><\/h3>\n

    B\u00e0i to\u00e1n \u201ct\u00ecm s\u1ed1 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u\u201d l\u00e0 d\u1ea1ng to\u00e1n m\u00e0 \u0111\u1ec1 b\u00e0i cho bi\u1ebft t\u1ed5ng c\u1ee7a hai s\u1ed1 v\u00e0 hi\u1ec7u c\u1ee7a hai s\u1ed1 \u0111\u00f3, y\u00eau c\u1ea7u t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a t\u1eebng s\u1ed1.<\/span><\/p>\n

      \n
    1. <\/span>T\u1ed5ng:<\/strong> K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p c\u1ed9ng hai s\u1ed1.<\/span><\/li>\n
    2. <\/span>Hi\u1ec7u:<\/strong> K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p tr\u1eeb hai s\u1ed1 (s\u1ed1 l\u1edbn tr\u1eeb s\u1ed1 b\u00e9).<\/span><\/li>\n<\/ol>\n

      1.2. V\u00ed D\u1ee5 Minh H\u1ecda<\/strong><\/h3>\n

      V\u00ed d\u1ee5:<\/strong> T\u1ed5ng c\u1ee7a hai s\u1ed1 l\u00e0 50, hi\u1ec7u c\u1ee7a hai s\u1ed1 l\u00e0 10. T\u00ecm hai s\u1ed1 \u0111\u00f3.<\/span><\/p>\n

      2. Ph\u01b0\u01a1ng Ph\u00e1p Gi\u1ea3i To\u00e1n T\u00ecm S\u1ed1 Khi Bi\u1ebft T\u1ed5ng v\u00e0 Hi\u1ec7u<\/strong><\/h2>\n

      \u0110\u1ec3 gi\u1ea3i d\u1ea1ng to\u00e1n n\u00e0y, ch\u00fang ta s\u1eed d\u1ee5ng hai c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n sau:<\/span><\/p>\n

        \n
      1. <\/span>S\u1ed1 l\u1edbn = (T\u1ed5ng + Hi\u1ec7u) \/ 2<\/strong><\/li>\n
      2. <\/span>S\u1ed1 b\u00e9 = (T\u1ed5ng \u2013 Hi\u1ec7u) \/ 2<\/strong><\/li>\n<\/ol>\n

        2.1. Gi\u1ea3i Th\u00edch C\u00f4ng Th\u1ee9c<\/strong><\/h3>\n
          \n
        1. <\/span>T\u1ea1i sao l\u1ea1i c\u1ed9ng t\u1ed5ng v\u00e0 hi\u1ec7u \u0111\u1ec3 t\u00ecm s\u1ed1 l\u1edbn?<\/strong> Khi c\u1ed9ng t\u1ed5ng v\u00e0 hi\u1ec7u, s\u1ed1 b\u00e9 s\u1ebd b\u1ecb tri\u1ec7t ti\u00eau, c\u00f2n s\u1ed1 l\u1edbn s\u1ebd xu\u1ea5t hi\u1ec7n hai l\u1ea7n. Do \u0111\u00f3, ta chia cho 2 \u0111\u1ec3 t\u00ecm \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb c\u1ee7a s\u1ed1 l\u1edbn.<\/span><\/li>\n
        2. <\/span>T\u1ea1i sao l\u1ea1i tr\u1eeb hi\u1ec7u t\u1eeb t\u1ed5ng \u0111\u1ec3 t\u00ecm s\u1ed1 b\u00e9?<\/strong> Khi tr\u1eeb hi\u1ec7u t\u1eeb t\u1ed5ng, s\u1ed1 l\u1edbn s\u1ebd b\u1ecb tri\u1ec7t ti\u00eau, c\u00f2n s\u1ed1 b\u00e9 s\u1ebd xu\u1ea5t hi\u1ec7n hai l\u1ea7n. Do \u0111\u00f3, ta chia cho 2 \u0111\u1ec3 t\u00ecm \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb c\u1ee7a s\u1ed1 b\u00e9.<\/span><\/li>\n<\/ol>\n

          2.2. C\u00e1c B\u01b0\u1edbc Gi\u1ea3i B\u00e0i To\u00e1n<\/strong><\/h3>\n
            \n
          1. <\/span>\u0110\u1ecdc k\u1ef9 \u0111\u1ec1 b\u00e0i:<\/strong> X\u00e1c \u0111\u1ecbnh r\u00f5 t\u1ed5ng v\u00e0 hi\u1ec7u c\u1ee7a hai s\u1ed1.<\/span><\/li>\n
          2. <\/span>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c:<\/strong> S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c tr\u00ean \u0111\u1ec3 t\u00ednh s\u1ed1 l\u1edbn v\u00e0 s\u1ed1 b\u00e9.<\/span><\/li>\n
          3. <\/span>Ki\u1ec3m tra l\u1ea1i k\u1ebft qu\u1ea3:<\/strong> C\u1ed9ng hai s\u1ed1 v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c \u0111\u1ec3 xem c\u00f3 b\u1eb1ng t\u1ed5ng \u0111\u00e3 cho kh\u00f4ng. Tr\u1eeb hai s\u1ed1 v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c \u0111\u1ec3 xem c\u00f3 b\u1eb1ng hi\u1ec7u \u0111\u00e3 cho kh\u00f4ng. N\u1ebfu \u0111\u00fang, k\u1ebft qu\u1ea3 l\u00e0 ch\u00ednh x\u00e1c.<\/span><\/li>\n<\/ol>\n

            3. V\u00ed D\u1ee5 Minh H\u1ecda Chi Ti\u1ebft<\/strong><\/h2>\n

            B\u00e0i to\u00e1n 1:<\/strong> T\u1ed5ng c\u1ee7a hai s\u1ed1 l\u00e0 80, hi\u1ec7u c\u1ee7a hai s\u1ed1 l\u00e0 20. T\u00ecm hai s\u1ed1 \u0111\u00f3.<\/span><\/p>\n

            Gi\u1ea3i:<\/strong><\/p>\n

              \n
            1. <\/span>S\u1ed1 l\u1edbn = (80 + 20) \/ 2 = 50<\/span><\/li>\n
            2. <\/span>S\u1ed1 b\u00e9 = (80 \u2013 20) \/ 2 = 30<\/span><\/li>\n<\/ol>\n

              Ki\u1ec3m tra:<\/strong> 50 + 30 = 80 (\u0111\u00fang), 50 \u2013 30 = 20 (\u0111\u00fang)<\/span><\/p>\n

              \u0110\u00e1p s\u1ed1:<\/strong> S\u1ed1 l\u1edbn l\u00e0 50, s\u1ed1 b\u00e9 l\u00e0 30.<\/span><\/p>\n

              B\u00e0i to\u00e1n 2:<\/strong> M\u1ed9t l\u1edbp h\u1ecdc c\u00f3 35 h\u1ecdc sinh. S\u1ed1 h\u1ecdc sinh nam nhi\u1ec1u h\u01a1n s\u1ed1 h\u1ecdc sinh n\u1eef l\u00e0 5 em. H\u1ecfi l\u1edbp h\u1ecdc c\u00f3 bao nhi\u00eau h\u1ecdc sinh nam, bao nhi\u00eau h\u1ecdc sinh n\u1eef?<\/span><\/p>\n

              Gi\u1ea3i:<\/strong><\/p>\n

                \n
              1. <\/span>T\u1ed5ng s\u1ed1 h\u1ecdc sinh: 35<\/span><\/li>\n
              2. <\/span>Hi\u1ec7u s\u1ed1 h\u1ecdc sinh nam v\u00e0 n\u1eef: 5<\/span><\/li>\n
              3. <\/span>S\u1ed1 h\u1ecdc sinh nam = (35 + 5) \/ 2 = 20<\/span><\/li>\n
              4. <\/span>S\u1ed1 h\u1ecdc sinh n\u1eef = (35 \u2013 5) \/ 2 = 15<\/span><\/li>\n<\/ol>\n

                Ki\u1ec3m tra:<\/strong> 20 + 15 = 35 (\u0111\u00fang), 20 \u2013 15 = 5 (\u0111\u00fang)<\/span><\/p>\n

                \u0110\u00e1p s\u1ed1:<\/strong> L\u1edbp h\u1ecdc c\u00f3 20 h\u1ecdc sinh nam v\u00e0 15 h\u1ecdc sinh n\u1eef.<\/span><\/p>\n

                Alt: V\u00ed d\u1ee5 b\u00e0i to\u00e1n t\u00ecm s\u1ed1 l\u1edbn, s\u1ed1 b\u00e9 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u v\u1edbi s\u01a1 \u0111\u1ed3 tr\u1ef1c quan.<\/em><\/p>\n

                4. B\u00e0i T\u1eadp V\u1eadn D\u1ee5ng (C\u00f3 H\u01b0\u1edbng D\u1eabn Gi\u1ea3i)<\/strong><\/h2>\n

                4.1. B\u00e0i T\u1eadp C\u01a1 B\u1ea3n<\/strong><\/h3>\n

                B\u00e0i 1:<\/strong> T\u1ed5ng c\u1ee7a hai s\u1ed1 l\u00e0 120, hi\u1ec7u c\u1ee7a hai s\u1ed1 l\u00e0 40. T\u00ecm hai s\u1ed1 \u0111\u00f3.<\/span><\/p>\n

                H\u01b0\u1edbng d\u1eabn:<\/strong> \u00c1p d\u1ee5ng tr\u1ef1c ti\u1ebfp c\u00f4ng th\u1ee9c.<\/span><\/p>\n

                B\u00e0i 2:<\/strong> M\u1ed9t c\u1eeda h\u00e0ng c\u00f3 t\u1ed5ng c\u1ed9ng 500 kg g\u1ea1o t\u1ebb v\u00e0 g\u1ea1o n\u1ebfp. S\u1ed1 g\u1ea1o t\u1ebb nhi\u1ec1u h\u01a1n s\u1ed1 g\u1ea1o n\u1ebfp l\u00e0 100 kg. H\u1ecfi c\u1eeda h\u00e0ng c\u00f3 bao nhi\u00eau kg g\u1ea1o m\u1ed7i lo\u1ea1i?<\/span><\/p>\n

                H\u01b0\u1edbng d\u1eabn:<\/strong> X\u00e1c \u0111\u1ecbnh t\u1ed5ng v\u00e0 hi\u1ec7u, sau \u0111\u00f3 \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c.<\/span><\/p>\n

                4.2. B\u00e0i T\u1eadp N\u00e2ng Cao<\/strong><\/h3>\n

                B\u00e0i 3:<\/strong> An v\u00e0 B\u00ecnh c\u00f3 t\u1ed5ng c\u1ed9ng 80 vi\u00ean bi. N\u1ebfu An cho B\u00ecnh 10 vi\u00ean bi th\u00ec s\u1ed1 bi c\u1ee7a hai b\u1ea1n b\u1eb1ng nhau. H\u1ecfi l\u00fac \u0111\u1ea7u m\u1ed7i b\u1ea1n c\u00f3 bao nhi\u00eau vi\u00ean bi?<\/span><\/p>\n

                H\u01b0\u1edbng d\u1eabn:<\/strong><\/p>\n

                  \n
                1. <\/span>Sau khi An cho B\u00ecnh 10 vi\u00ean bi, t\u1ed5ng s\u1ed1 bi kh\u00f4ng thay \u0111\u1ed5i.<\/span><\/li>\n
                2. <\/span>L\u00fac n\u00e0y, s\u1ed1 bi c\u1ee7a hai b\u1ea1n b\u1eb1ng nhau, t\u1ee9c l\u00e0 m\u1ed7i b\u1ea1n c\u00f3 80 \/ 2 = 40 vi\u00ean bi.<\/span><\/li>\n
                3. <\/span>V\u1eady, l\u00fac \u0111\u1ea7u B\u00ecnh c\u00f3 40 \u2013 10 = 30 vi\u00ean bi.<\/span><\/li>\n
                4. <\/span>L\u00fac \u0111\u1ea7u An c\u00f3 80 \u2013 30 = 50 vi\u00ean bi.<\/span><\/li>\n<\/ol>\n

                  B\u00e0i 4:<\/strong> M\u1ed9t ng\u01b0\u1eddi b\u00e1n v\u1ea3i, sau khi b\u00e1n \u0111i 25m v\u1ea3i xanh v\u00e0 32m v\u1ea3i \u0111\u1ecf th\u00ec s\u1ed1 v\u1ea3i \u0111\u1ecf c\u00f2n l\u1ea1i nhi\u1ec1u h\u01a1n s\u1ed1 v\u1ea3i xanh c\u00f2n l\u1ea1i l\u00e0 12m. H\u1ecfi l\u00fac \u0111\u1ea7u ng\u01b0\u1eddi \u0111\u00f3 c\u00f3 bao nhi\u00eau m\u00e9t v\u1ea3i m\u1ed7i lo\u1ea1i, bi\u1ebft t\u1ed5ng s\u1ed1 v\u1ea3i l\u00e0 157m.<\/span><\/p>\n

                  H\u01b0\u1edbng d\u1eabn:<\/strong><\/p>\n

                    \n
                  1. <\/span>Sau khi b\u00e1n, t\u1ed5ng s\u1ed1 v\u1ea3i c\u00f2n l\u1ea1i l\u00e0: 157 \u2013 25 \u2013 32 = 100m<\/span><\/li>\n
                  2. <\/span>G\u1ecdi s\u1ed1 v\u1ea3i \u0111\u1ecf c\u00f2n l\u1ea1i l\u00e0 x, th\u00ec s\u1ed1 v\u1ea3i xanh c\u00f2n l\u1ea1i l\u00e0 x \u2013 12<\/span><\/li>\n
                  3. <\/span>Ta c\u00f3: x + (x \u2013 12) = 100 => 2x = 112 => x = 56<\/span><\/li>\n
                  4. <\/span>V\u1eady, s\u1ed1 v\u1ea3i \u0111\u1ecf c\u00f2n l\u1ea1i l\u00e0 56m, s\u1ed1 v\u1ea3i xanh c\u00f2n l\u1ea1i l\u00e0 56 \u2013 12 = 44m<\/span><\/li>\n
                  5. <\/span>L\u00fac \u0111\u1ea7u, s\u1ed1 v\u1ea3i \u0111\u1ecf l\u00e0 56 + 32 = 88m, s\u1ed1 v\u1ea3i xanh l\u00e0 44 + 25 = 69m<\/span><\/li>\n<\/ol>\n

                    5. \u1ee8ng D\u1ee5ng Th\u1ef1c T\u1ebf C\u1ee7a To\u00e1n T\u1ed5ng Hi\u1ec7u<\/strong><\/h2>\n

                    To\u00e1n t\u1ed5ng hi\u1ec7u kh\u00f4ng ch\u1ec9 l\u00e0 ki\u1ebfn th\u1ee9c trong s\u00e1ch v\u1edf m\u00e0 c\u00f2n c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng trong cu\u1ed9c s\u1ed1ng h\u00e0ng ng\u00e0y. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t v\u00e0i v\u00ed d\u1ee5:<\/span><\/p>\n

                      \n
                    1. <\/span>T\u00ednh to\u00e1n chi ti\u00eau:<\/strong> Bi\u1ebft t\u1ed5ng s\u1ed1 ti\u1ec1n \u0111\u00e3 chi v\u00e0 s\u1ed1 ti\u1ec1n chi cho m\u1ed9t kho\u1ea3n c\u1ee5 th\u1ec3 nhi\u1ec1u h\u01a1n kho\u1ea3n c\u00f2n l\u1ea1i bao nhi\u00eau, b\u1ea1n c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c s\u1ed1 ti\u1ec1n chi cho t\u1eebng kho\u1ea3n.<\/span><\/li>\n
                    2. <\/span>Qu\u1ea3n l\u00fd t\u00e0i s\u1ea3n:<\/strong> Bi\u1ebft t\u1ed5ng gi\u00e1 tr\u1ecb t\u00e0i s\u1ea3n v\u00e0 gi\u00e1 tr\u1ecb c\u1ee7a m\u1ed9t lo\u1ea1i t\u00e0i s\u1ea3n nhi\u1ec1u h\u01a1n lo\u1ea1i c\u00f2n l\u1ea1i bao nhi\u00eau, b\u1ea1n c\u00f3 th\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb c\u1ee7a t\u1eebng lo\u1ea1i t\u00e0i s\u1ea3n.<\/span><\/li>\n
                    3. <\/span>Gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 trong kinh doanh:<\/strong> T\u00ednh to\u00e1n doanh thu, chi ph\u00ed, l\u1ee3i nhu\u1eadn khi bi\u1ebft t\u1ed5ng doanh thu v\u00e0 hi\u1ec7u gi\u1eefa doanh thu v\u00e0 chi ph\u00ed.<\/span><\/li>\n<\/ol>\n

                      6. M\u1eb9o Gi\u1ea3i Nhanh B\u00e0i To\u00e1n T\u1ed5ng Hi\u1ec7u<\/strong><\/h2>\n
                        \n
                      1. <\/span>\u0110\u1ecdc k\u1ef9 \u0111\u1ec1, x\u00e1c \u0111\u1ecbnh r\u00f5 t\u1ed5ng v\u00e0 hi\u1ec7u:<\/strong> \u0110\u00e2y l\u00e0 b\u01b0\u1edbc quan tr\u1ecdng nh\u1ea5t \u0111\u1ec3 gi\u1ea3i \u0111\u00fang b\u00e0i to\u00e1n.<\/span><\/li>\n
                      2. <\/span>V\u1ebd s\u01a1 \u0111\u1ed3 (n\u1ebfu c\u1ea7n):<\/strong> S\u01a1 \u0111\u1ed3 gi\u00fap tr\u1ef1c quan h\u00f3a b\u00e0i to\u00e1n v\u00e0 d\u1ec5 d\u00e0ng t\u00ecm ra h\u01b0\u1edbng gi\u1ea3i.<\/span><\/li>\n
                      3. <\/span>Nh\u1ea9m nhanh c\u00f4ng th\u1ee9c:<\/strong> Luy\u1ec7n t\u1eadp th\u01b0\u1eddng xuy\u00ean \u0111\u1ec3 nh\u1edb c\u00f4ng th\u1ee9c v\u00e0 \u00e1p d\u1ee5ng nhanh ch\u00f3ng.<\/span><\/li>\n
                      4. <\/span>Ki\u1ec3m tra l\u1ea1i k\u1ebft qu\u1ea3:<\/strong> \u0110\u1ea3m b\u1ea3o k\u1ebft qu\u1ea3 ph\u00f9 h\u1ee3p v\u1edbi y\u00eau c\u1ea7u c\u1ee7a \u0111\u1ec1 b\u00e0i.<\/span><\/li>\n<\/ol>\n

                        7. C\u00e1c D\u1ea1ng B\u00e0i To\u00e1n T\u1ed5ng Hi\u1ec7u M\u1edf R\u1ed9ng<\/strong><\/h2>\n

                        Ngo\u00e0i d\u1ea1ng c\u01a1 b\u1ea3n, to\u00e1n t\u1ed5ng hi\u1ec7u c\u00f2n c\u00f3 nhi\u1ec1u d\u1ea1ng m\u1edf r\u1ed9ng kh\u00e1c, \u0111\u00f2i h\u1ecfi t\u01b0 duy linh ho\u1ea1t v\u00e0 kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch s\u00e2u s\u1eafc h\u01a1n.<\/span><\/p>\n

                        7.1. B\u00e0i To\u00e1n C\u00f3 Y\u1ebfu T\u1ed1 Thay \u0110\u1ed5i<\/strong><\/h3>\n

                        V\u00ed d\u1ee5: \u201cHai th\u00f9ng d\u1ea7u c\u00f3 t\u1ed5ng c\u1ed9ng 120 l\u00edt. N\u1ebfu chuy\u1ec3n 10 l\u00edt t\u1eeb th\u00f9ng th\u1ee9 nh\u1ea5t sang th\u00f9ng th\u1ee9 hai th\u00ec s\u1ed1 d\u1ea7u \u1edf hai th\u00f9ng b\u1eb1ng nhau. H\u1ecfi l\u00fac \u0111\u1ea7u m\u1ed7i th\u00f9ng c\u00f3 bao nhi\u00eau l\u00edt d\u1ea7u?\u201d<\/span><\/p>\n

                        C\u00e1ch gi\u1ea3i:<\/strong><\/p>\n

                          \n
                        1. <\/span>X\u00e1c \u0111\u1ecbnh tr\u1ea1ng th\u00e1i sau khi thay \u0111\u1ed5i:<\/strong> Sau khi chuy\u1ec3n, m\u1ed7i th\u00f9ng c\u00f3 120 \/ 2 = 60 l\u00edt d\u1ea7u.<\/span><\/li>\n
                        2. <\/span>T\u00ednh to\u00e1n ng\u01b0\u1ee3c l\u1ea1i:<\/strong> Th\u00f9ng th\u1ee9 nh\u1ea5t ban \u0111\u1ea7u c\u00f3 60 + 10 = 70 l\u00edt, th\u00f9ng th\u1ee9 hai ban \u0111\u1ea7u c\u00f3 60 \u2013 10 = 50 l\u00edt.<\/span><\/li>\n<\/ol>\n

                          7.2. B\u00e0i To\u00e1n Li\u00ean Quan \u0110\u1ebfn Ph\u00e2n S\u1ed1, T\u1ec9 L\u1ec7<\/strong><\/h3>\n

                          V\u00ed d\u1ee5: \u201cHai l\u1edbp 4A v\u00e0 4B tr\u1ed3ng \u0111\u01b0\u1ee3c t\u1ed5ng c\u1ed9ng 180 c\u00e2y. Bi\u1ebft s\u1ed1 c\u00e2y l\u1edbp 4A tr\u1ed3ng b\u1eb1ng 2\/3 s\u1ed1 c\u00e2y l\u1edbp 4B tr\u1ed3ng. H\u1ecfi m\u1ed7i l\u1edbp tr\u1ed3ng \u0111\u01b0\u1ee3c bao nhi\u00eau c\u00e2y?\u201d<\/span><\/p>\n

                          C\u00e1ch gi\u1ea3i:<\/strong><\/p>\n

                            \n
                          1. <\/span>Quy \u0111\u1ed3ng m\u1eabu s\u1ed1 (n\u1ebfu c\u1ea7n):<\/strong> Trong b\u00e0i n\u00e0y, m\u1eabu s\u1ed1 \u0111\u00e3 gi\u1ed1ng nhau.<\/span><\/li>\n
                          2. <\/span>Coi s\u1ed1 c\u00e2y l\u1edbp 4A tr\u1ed3ng l\u00e0 2 ph\u1ea7n, s\u1ed1 c\u00e2y l\u1edbp 4B tr\u1ed3ng l\u00e0 3 ph\u1ea7n.<\/strong><\/li>\n
                          3. <\/span>T\u1ed5ng s\u1ed1 ph\u1ea7n l\u00e0 2 + 3 = 5 ph\u1ea7n.<\/strong><\/li>\n
                          4. <\/span>Gi\u00e1 tr\u1ecb m\u1ed7i ph\u1ea7n l\u00e0 180 \/ 5 = 36 c\u00e2y.<\/strong><\/li>\n
                          5. <\/span>S\u1ed1 c\u00e2y l\u1edbp 4A tr\u1ed3ng l\u00e0 36 2 = 72 c\u00e2y, s\u1ed1 c\u00e2y l\u1edbp 4B tr\u1ed3ng l\u00e0 36 <\/em>3 = 108 c\u00e2y.<\/strong><\/li>\n<\/ol>\n

                            Alt: B\u00e0i t\u1eadp to\u00e1n l\u1edbp 4 t\u00ecm t\u1ed5ng hi\u1ec7u n\u00e2ng cao c\u00f3 h\u00ecnh \u1ea3nh minh h\u1ecda tr\u1ef1c quan.<\/em><\/p>\n

                            8. B\u00e0i T\u1eadp T\u1ef1 Luy\u1ec7n (C\u00f3 \u0110\u00e1p \u00c1n)<\/strong><\/h2>\n

                            8.1. D\u1ea1ng C\u01a1 B\u1ea3n<\/strong><\/h3>\n
                              \n
                            1. <\/span>T\u1ed5ng c\u1ee7a hai s\u1ed1 l\u00e0 95, hi\u1ec7u c\u1ee7a hai s\u1ed1 l\u00e0 15. T\u00ecm hai s\u1ed1 \u0111\u00f3. (<\/span>\u0110\u00e1p \u00e1n:<\/strong> 55 v\u00e0 40)<\/span><\/li>\n
                            2. <\/span>M\u1ed9t \u0111\u00e0n g\u00e0 c\u00f3 t\u1ed5ng c\u1ed9ng 150 con g\u00e0 tr\u1ed1ng v\u00e0 g\u00e0 m\u00e1i. S\u1ed1 g\u00e0 m\u00e1i nhi\u1ec1u h\u01a1n s\u1ed1 g\u00e0 tr\u1ed1ng l\u00e0 20 con. H\u1ecfi \u0111\u00e0n g\u00e0 c\u00f3 bao nhi\u00eau con g\u00e0 m\u1ed7i lo\u1ea1i? (<\/span>\u0110\u00e1p \u00e1n:<\/strong> 85 g\u00e0 m\u00e1i v\u00e0 65 g\u00e0 tr\u1ed1ng)<\/span><\/li>\n<\/ol>\n

                              8.2. D\u1ea1ng N\u00e2ng Cao<\/strong><\/h3>\n
                                \n
                              1. <\/span>Hai b\u1ea1n H\u00f9ng v\u00e0 D\u0169ng c\u00f3 t\u1ed5ng c\u1ed9ng 120 vi\u00ean bi. N\u1ebfu H\u00f9ng cho D\u0169ng 15 vi\u00ean bi th\u00ec s\u1ed1 bi c\u1ee7a H\u00f9ng b\u1eb1ng 1\/2 s\u1ed1 bi c\u1ee7a D\u0169ng. H\u1ecfi l\u00fac \u0111\u1ea7u m\u1ed7i b\u1ea1n c\u00f3 bao nhi\u00eau vi\u00ean bi? (<\/span>\u0110\u00e1p \u00e1n:<\/strong> H\u00f9ng 50 vi\u00ean, D\u0169ng 70 vi\u00ean)<\/span><\/li>\n
                              2. <\/span>M\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 chu vi 60cm. Bi\u1ebft chi\u1ec1u d\u00e0i h\u01a1n chi\u1ec1u r\u1ed9ng 10cm. T\u00ednh di\u1ec7n t\u00edch h\u00ecnh ch\u1eef nh\u1eadt \u0111\u00f3. (<\/span>\u0110\u00e1p \u00e1n:<\/strong> 200 cm2)<\/span><\/li>\n<\/ol>\n

                                9. T\u00ecm Hi\u1ec3u Th\u00eam T\u1ea1i CAUHOI2025.EDU.VN<\/strong><\/h2>\n

                                Hy v\u1ecdng b\u00e0i vi\u1ebft n\u00e0y \u0111\u00e3 gi\u00fap b\u1ea1n hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 d\u1ea1ng to\u00e1n t\u00ecm s\u1ed1 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u. \u0110\u1ec3 kh\u00e1m ph\u00e1 th\u00eam nhi\u1ec1u ki\u1ebfn th\u1ee9c b\u1ed5 \u00edch kh\u00e1c, h\u00e3y truy c\u1eadp CAUHOI2025.EDU.VN. T\u1ea1i \u0111\u00e2y, b\u1ea1n s\u1ebd t\u00ecm th\u1ea5y:<\/span><\/p>\n

                                  \n
                                1. <\/span>H\u00e0ng ng\u00e0n c\u00e2u h\u1ecfi v\u00e0 c\u00e2u tr\u1ea3 l\u1eddi<\/strong> thu\u1ed9c nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau.<\/span><\/li>\n
                                2. <\/span>C\u00e1c b\u00e0i vi\u1ebft chi ti\u1ebft, d\u1ec5 hi\u1ec3u<\/strong> v\u1ec1 c\u00e1c ch\u1ee7 \u0111\u1ec1 h\u1ecdc t\u1eadp, \u0111\u1eddi s\u1ed1ng, x\u00e3 h\u1ed9i.<\/span><\/li>\n
                                3. <\/span>Di\u1ec5n \u0111\u00e0n trao \u0111\u1ed5i, th\u1ea3o lu\u1eadn<\/strong> \u0111\u1ec3 b\u1ea1n c\u00f3 th\u1ec3 \u0111\u1eb7t c\u00e2u h\u1ecfi v\u00e0 chia s\u1ebb ki\u1ebfn th\u1ee9c v\u1edbi c\u1ed9ng \u0111\u1ed3ng.<\/span><\/li>\n
                                4. <\/span>D\u1ecbch v\u1ee5 t\u01b0 v\u1ea5n tr\u1ef1c tuy\u1ebfn<\/strong> t\u1eeb c\u00e1c chuy\u00ean gia (n\u1ebfu c\u00f3) \u0111\u1ec3 gi\u1ea3i \u0111\u00e1p m\u1ecdi th\u1eafc m\u1eafc c\u1ee7a b\u1ea1n.<\/span><\/li>\n<\/ol>\n

                                  CAUHOI2025.EDU.VN lu\u00f4n n\u1ed7 l\u1ef1c cung c\u1ea5p nh\u1eefng th\u00f4ng tin ch\u00ednh x\u00e1c, \u0111\u00e1ng tin c\u1eady v\u00e0 h\u1eefu \u00edch nh\u1ea5t cho ng\u01b0\u1eddi d\u00f9ng Vi\u1ec7t Nam.<\/span><\/p>\n

                                  10. FAQ \u2013 C\u00e2u H\u1ecfi Th\u01b0\u1eddng G\u1eb7p<\/strong><\/h2>\n

                                  1. C\u00f4ng th\u1ee9c t\u00ecm s\u1ed1 l\u1edbn, s\u1ed1 b\u00e9 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u l\u00e0 g\u00ec?<\/strong><\/p>\n

                                  \n
                                  S\u1ed1 l\u1edbn = (T\u1ed5ng + Hi\u1ec7u) \/ 2, S\u1ed1 b\u00e9 = (T\u1ed5ng – Hi\u1ec7u) \/ 2<\/div>\n<\/div>\n

                                  2. Khi n\u00e0o c\u1ea7n v\u1ebd s\u01a1 \u0111\u1ed3 \u0111\u1ec3 gi\u1ea3i b\u00e0i to\u00e1n t\u1ed5ng hi\u1ec7u?<\/strong><\/p>\n

                                  \n
                                  Khi b\u00e0i to\u00e1n c\u00f3 nhi\u1ec1u y\u1ebfu t\u1ed1 ph\u1ee9c t\u1ea1p ho\u1eb7c c\u1ea7n tr\u1ef1c quan h\u00f3a \u0111\u1ec3 d\u1ec5 hi\u1ec3u h\u01a1n.<\/div>\n<\/div>\n

                                  3. To\u00e1n t\u1ed5ng hi\u1ec7u c\u00f3 \u1ee9ng d\u1ee5ng g\u00ec trong th\u1ef1c t\u1ebf?<\/strong><\/p>\n

                                  \n
                                  T\u00ednh to\u00e1n chi ti\u00eau, qu\u1ea3n l\u00fd t\u00e0i s\u1ea3n, gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 trong kinh doanh…<\/div>\n<\/div>\n

                                  4. L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 gi\u1ea3i nhanh b\u00e0i to\u00e1n t\u1ed5ng hi\u1ec7u?<\/strong><\/p>\n

                                  \n
                                  \u0110\u1ecdc k\u1ef9 \u0111\u1ec1, x\u00e1c \u0111\u1ecbnh r\u00f5 t\u1ed5ng v\u00e0 hi\u1ec7u, nh\u1ea9m nhanh c\u00f4ng th\u1ee9c, ki\u1ec3m tra l\u1ea1i k\u1ebft qu\u1ea3.<\/div>\n<\/div>\n

                                  5. C\u00f3 nh\u1eefng d\u1ea1ng b\u00e0i to\u00e1n t\u1ed5ng hi\u1ec7u m\u1edf r\u1ed9ng n\u00e0o?<\/strong><\/p>\n

                                  \n
                                  B\u00e0i to\u00e1n c\u00f3 y\u1ebfu t\u1ed1 thay \u0111\u1ed5i, b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn ph\u00e2n s\u1ed1, t\u1ec9 l\u1ec7…<\/div>\n<\/div>\n

                                  6. T\u00f4i c\u00f3 th\u1ec3 t\u00ecm th\u00eam th\u00f4ng tin v\u1ec1 to\u00e1n t\u1ed5ng hi\u1ec7u \u1edf \u0111\u00e2u?<\/strong><\/p>\n

                                  \n
                                  T\u1ea1i CAUHOI2025.EDU.VN, b\u1ea1n c\u00f3 th\u1ec3 t\u00ecm th\u1ea5y nhi\u1ec1u b\u00e0i vi\u1ebft, c\u00e2u h\u1ecfi v\u00e0 c\u00e2u tr\u1ea3 l\u1eddi li\u00ean quan \u0111\u1ebfn to\u00e1n t\u1ed5ng hi\u1ec7u.<\/div>\n<\/div>\n

                                  7. L\u00e0m sao \u0111\u1ec3 ph\u00e2n bi\u1ec7t b\u00e0i to\u00e1n t\u1ed5ng hi\u1ec7u v\u1edbi c\u00e1c d\u1ea1ng to\u00e1n kh\u00e1c?<\/strong><\/p>\n

                                  \n
                                  B\u00e0i to\u00e1n t\u1ed5ng hi\u1ec7u lu\u00f4n cho bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u c\u1ee7a hai s\u1ed1, y\u00eau c\u1ea7u t\u00ecm gi\u00e1 tr\u1ecb c\u1ee7a t\u1eebng s\u1ed1.<\/div>\n<\/div>\n

                                  8. T\u1ea1i sao c\u1ea7n n\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c v\u1ec1 to\u00e1n t\u1ed5ng hi\u1ec7u?<\/strong><\/p>\n

                                  \n
                                  To\u00e1n t\u1ed5ng hi\u1ec7u gi\u00fap r\u00e8n luy\u1ec7n t\u01b0 duy logic, kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1, t\u1ea1o n\u1ec1n t\u1ea3ng cho vi\u1ec7c h\u1ecdc c\u00e1c d\u1ea1ng to\u00e1n ph\u1ee9c t\u1ea1p h\u01a1n.<\/div>\n<\/div>\n

                                  9. C\u00f3 m\u1eb9o n\u00e0o \u0111\u1ec3 nh\u1edb c\u00f4ng th\u1ee9c to\u00e1n t\u1ed5ng hi\u1ec7u kh\u00f4ng?<\/strong><\/p>\n

                                  \n
                                  Li\u00ean h\u1ec7 c\u00f4ng th\u1ee9c v\u1edbi th\u1ef1c t\u1ebf, gi\u1ea3i nhi\u1ec1u b\u00e0i t\u1eadp, t\u1ea1o s\u01a1 \u0111\u1ed3 t\u01b0 duy.<\/div>\n<\/div>\n

                                  10. CAUHOI2025.EDU.VN c\u00f3 nh\u1eefng \u01b0u \u0111i\u1ec3m g\u00ec so v\u1edbi c\u00e1c trang web kh\u00e1c?<\/strong><\/p>\n

                                  \n
                                  CAUHOI2025.EDU.VN cung c\u1ea5p th\u00f4ng tin ch\u00ednh x\u00e1c, \u0111\u00e1ng tin c\u1eady, h\u1eefu \u00edch, \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n b\u1edfi \u0111\u1ed9i ng\u0169 chuy\u00ean gia v\u00e0 c\u1ed9ng t\u00e1c vi\u00ean gi\u00e0u kinh nghi\u1ec7m.<\/div>\n<\/div>\n

                                  B\u1ea1n c\u00f3 c\u00e2u h\u1ecfi n\u00e0o kh\u00e1c kh\u00f4ng? H\u00e3y truy c\u1eadp CAUHOI2025.EDU.VN \u0111\u1ec3 \u0111\u01b0\u1ee3c gi\u1ea3i \u0111\u00e1p ngay!<\/span><\/p>\n

                                  \u0110\u1ecba ch\u1ec9: 30 P. Kh\u00e2m Thi\u00ean, Th\u1ed5 Quan, \u0110\u1ed1ng \u0110a, H\u00e0 N\u1ed9i, Vi\u1ec7t Nam<\/span><\/p>\n

                                  S\u1ed1 \u0111i\u1ec7n tho\u1ea1i: +84 2435162967<\/span><\/p>\n

                                  Trang web: <\/span>CauHoi2025.EDU.VN<\/a><\/p>\n

                                  \u0110\u1eebng qu\u00ean chia s\u1ebb b\u00e0i vi\u1ebft n\u00e0y n\u1ebfu b\u1ea1n th\u1ea5y h\u1eefu \u00edch!<\/span><\/p>\n

                                  <\/p>\n","protected":false},"excerpt":{"rendered":"

                                  B\u1ea1n \u0111ang g\u1eb7p kh\u00f3 kh\u0103n v\u1edbi d\u1ea1ng to\u00e1n t\u00ecm hai s\u1ed1 khi bi\u1ebft t\u1ed5ng v\u00e0 hi\u1ec7u? B\u00e0i vi\u1ebft n\u00e0y c\u1ee7a CAUHOI2025.EDU.VN s\u1ebd cung c\u1ea5p ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i chi ti\u1ebft, d\u1ec5 hi\u1ec3u, ph\u00f9 h\u1ee3p cho h\u1ecdc sinh l\u1edbp 4, 5, 6 v\u00e0 c\u1ea3 nh\u1eefng ai mu\u1ed1n \u00f4n l\u1ea1i ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n. Ch\u00fang t\u00f4i s\u1ebd gi\u00fap […]\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1149","post","type-post","status-publish","format-standard","hentry","category-khong-phan-loai"],"_links":{"self":[{"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/posts\/1149","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/comments?post=1149"}],"version-history":[{"count":0,"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/posts\/1149\/revisions"}],"wp:attachment":[{"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/media?parent=1149"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/categories?post=1149"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tiengduc1kem1.edu.vn\/index.php\/wp-json\/wp\/v2\/tags?post=1149"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}