B\u00e0i vi\u1ebft n\u00e0y s\u1ebd chia s\u1ebb m\u1ed9t v\u00e0i b\u00ed k\u00edp \u0111\u00e1nh l\u00f4 \u0111\u1ec1 \u0111\u01b0\u1ee3c ch\u00fang t\u00f4i t\u00ecm hi\u1ec3u t\u1eeb c\u00e1c chuy\u00ean gia \u0111\u00e1nh \u0111\u1ec1 h\u1ecd \u0111\u00e3 c\u00f3 nhi\u1ec1u th\u00e0nh c\u00f4ng v\u1edbi c\u00e1c b\u00ed k\u00edp n\u00e0y c\u1ee7a m\u00ecnh v\u00e0 b\u00e2y gi\u1edd m\u1edbi ti\u1ebft l\u1ed9. Sau khi nghi\u00ean c\u1ee9u v\u00e0 ti\u1ebfp thu c\u00e1c b\u00ed ki\u1ebfp n\u00e0y c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 \u0111\u00e1nh b\u00e1ch ph\u00e1t b\u00e1ch tr\u00fang.<\/p>\n
<\/p>\n
Ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh \u0111\u1ec1 d\u00e0n hi\u1ec7u qu\u1ea3 trong tu\u1ea7n<\/h2>\nB\u00ed k\u00edp th\u1ee9 nh\u1ea5t:<\/strong><\/h5>\nT\u01b0 t\u01b0\u1edfng v\u00e0 t\u00e2m l\u00fd Lu\u00f4n t\u1ec9nh t\u00e1o, kh\u00f4ng \u0111\u01b0\u1ee3c ph\u00e9p ch\u1ee7 quan duy \u00fd ch\u00ed Lu\u00f4n lu\u00f4n t\u1ec9nh t\u00e1o, kh\u00f4ng bao gi\u1edd \u0111\u01b0\u1ee3c ph\u00e9p ch\u1ee7 quan duy \u00fd ch\u00ed c\u1eady \u0111\u1ecf l\u00e0m c\u00e0n. Kh\u00f4ng \u0111\u01b0\u1ee3c c\u00f3 t\u00e2m l\u00fd ham g\u1ee1 g\u1ea5p khi thua, d\u00f9 thua hay th\u1eafng th\u00ec c\u0169ng ph\u1ea3i b\u00ecnh t\u0129nh kh\u00f4ng \u0111\u01b0\u1ee3c run s\u1ee3, kh\u00f4ng may m\u1ea5t r\u1ed3i th\u00ec th\u00f4i. Ngu th\u00ec \u0111\u00e3 ngu r\u1ed3i. L\u00f4 \u0111\u1ec1 c\u0169ng gi\u1ed1ng nh\u01b0 c\u00e1c m\u00f4n c\u1edd b\u1ea1c kh\u00e1c suy ngh\u0129, c\u00e2n nh\u1eafc k\u1ef9 c\u00e0ng tr\u01b0\u1edbc khi ra quy\u1ebft \u0111\u1ecbnh, kh\u00f4ng \u0111\u01b0\u1ee3c ch\u1ee7 quan, Th\u1eafng th\u00ec kh\u00f4ng ki\u00eau v\u00e0 kh\u00f4ng n\u1ea3n, s\u1ee3 h\u00e3i. Ph\u1ea3i c\u00f3 tr\u1ef1c gi\u00e1c t\u1ed1t, \u0111\u1ea3m b\u1ea3o s\u1ee9c kh\u1ecfe, vui v\u1ebb th\u00ec m\u1edbi \u0111\u1ee7 T\u1ef1 tin<\/p>\n
B\u00ed k\u00edp th\u1ee9 hai:<\/strong><\/h5>\nChu\u1ea9n b\u1ecb \u0111\u1ee7 v\u1ed1n T\u1ea5t nhi\u00ean mu\u1ed1n ch\u01a1i \u0111\u1ea7u ti\u00ean ph\u1ea3i c\u00f3 v\u1ed1n nh\u01b0ng \u0111\u00e1nh theo k\u1ebf ho\u1ea1ch v\u00e0 \u0111\u00e1nh theo s\u1ed1 ti\u1ec1n m\u00ecnh c\u00f3 Lu\u00f4n ph\u1ea3i nh\u1edb m\u1ed9t \u0111i\u1ec1u l\u00e0 kh\u00f4ng th\u1ec3 ch\u1eafc ch\u1eafn 100% l\u00e0 con s\u1ed1 n\u00e0o s\u1ebd v\u1ec1 n\u00ean ph\u1ea3i lu\u00f4n \u0111\u1ec3 m\u1ed9t \u0111\u01b0\u1eddng lui cho m\u00ecnh. \u0110\u1eb7c bi\u1ec7t l\u00e0 kh\u00f4ng n\u00ean vay m\u01b0\u1ee3n, hay c\u00e2m c\u1ed1 \u0111\u1ed3 \u0111\u1ea1c nh\u01b0: xe m\u00e1y, laptop \u0111\u1ec3 ch\u01a1i. V\u00ec nh\u01b0 th\u1ebf s\u1ebd \u1ea3nh h\u01b0\u1edfng r\u1ea5t nhi\u1ec1u \u0111\u1ebfn t\u00e2m l\u00fd, d\u1eabn \u0111\u1ebfn kh\u00f4ng th\u1ec3 t\u1ec9nh t\u00e1o \u0111\u01b0\u1ee3c.<\/p>\n
B\u00ed ki\u1ebfp th\u1eed ba:<\/strong><\/h5>\nD\u1ef1a v\u00e0o th\u1ed1ng k\u00ea khoa h\u1ecdc Do k\u1ebft qu\u1ea3 x\u1ed5 s\u1ed1, l\u00f4 \u0111\u1ec1 v\u1eabn l\u00e0 d\u1ef1a v\u00e0o c\u00e1c l\u1ed3ng quay, c\u00e1c vi\u00ean bi s\u1ebd quy\u1ebft \u0111inh k\u1ebft qu\u1ea3. N\u00ean t\u1ea5t c\u1ea3 c\u00f3 th\u1ec3 tu\u00e2n theo m\u1ed9t quy lu\u1eadt n\u00e0o \u0111\u1ea5y trong m\u1ed7i ng\u00e0y li\u00ean ti\u1ebfp, th\u1eddi ti\u1ebft, m\u00f9a h\u00e8 hay m\u00f9a \u0111\u00f4ng c\u0169ng c\u00f3 th\u1ec3 \u1ea3nh h\u01b0\u1edfng.<\/p>\n
B\u00ed ki\u1ebfp th\u1ee9 t\u01b0:<\/strong><\/h5>\nC\u00f3 ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh \u0110\u1ec3 c\u00f3 ph\u01b0\u01a1ng th\u1ee9c \u0111\u00e1nh hi\u1ec7u qu\u1ea3 c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 xem m\u1ed9t s\u1ed1 ph\u01b0\u1eddng ph\u00e1p \u1edf c\u00e1c b\u00e0i tr\u01b0\u1edbc c\u1ee7a ch\u00fang t\u00f4i ngo\u00e0i ra c\u00f2n m\u1ed9t s\u1ed1 ph\u01b0\u01a1ng ph\u00e1p nh\u1ecf kh\u00e1c c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 theo d\u00f5i nh\u01b0 sau:<\/p>\n
Ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh \u0111\u1ec1 d\u00e0n hi\u1ec7u qu\u1ea3 trong tu\u1ea7n<\/h5>\n\n- \u0110\u00e1nh theo bi\u1ec3n s\u1ed1 xe, \u0111\u1ea7u s\u1ed1 \u0110T c\u1ee7a c\u00e1c t\u1ec9nh quay s\u1ed1 ng\u00e0y h\u00f4m \u0111\u00f3 (V\u00ed d\u1ee5: X\u1ed5 s\u1ed1 H\u1ea3i ph\u00f2ng \u0111\u00e1nh 161 hay Thanh H\u00f3a \u0111\u00e1nh 36).<\/li>\n
- Th\u1ed1ng k\u00ea sau con s\u1ed1 g\u00ec hay ra con s\u1ed1 g\u00ec\u2026v\u00ed d\u1ee5 con 36 v\u00e0 con 56\u2026<\/li>\n
- \u0110\u00e1nh theo t\u1ea7n xu\u1ea5t ra nhi\u1ec1u c\u1ee7a c\u00e1c con s\u1ed1. \u0110\u00e1nh xung quanh con l\u00f4 ra 2 nh\u00e1y.<\/li>\n
- Th\u1ed1ng k\u00ea ng\u00e0y m\u1ea5y, th\u1ee9 m\u1ea5y hay ra s\u1ed1 g\u00ec, \u0111\u00e1nh theo.<\/li>\n
- Th\u1ed1ng k\u00ea c\u00e1c con hay ra tr\u00ean c\u00e1c web s\u1ed5 s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh theo<\/li>\n<\/ul>\n
\u0110\u00e2y l\u00e0 nh\u1eefng b\u00ed k\u00edp \u0111\u00e1nh l\u00f4 \u0111\u1ec1 th\u1ea5t truy\u1ec1n \u0111\u00e3 l\u00e2u hy v\u1ecdng c\u00e1c b\u1ea1n s\u1ebd v\u1eadn d\u1ee5ng n\u00f3 th\u1eadt t\u1ed1t \u0111\u1ec3 d\u00e0nh chi\u1ebfn th\u1eafng ch\u1ee7 l\u00f4 nh\u00e9!<\/strong><\/h4>\n<\/p>\n
1. Th\u1ed1ng k\u00ea nh\u1eefng t\u1ed5ng \u0111\u00e3 ra c\u1ee7a tu\u1ea7n tr\u01b0\u1edbc \u0111\u00f3.<\/h4>\nV\u00ed d\u1ee5:<\/h5>\n
Tu\u1ea7n t\u1eeb ng\u00e0y 7 \u0111\u1ebfn ng\u00e0y 13 ta c\u00f3 c\u00e1c t\u1ed5ng \u0111\u00e3 xu\u1ea5t hi\u1ec7n l\u00e0 3 7 0 4 4 2 5 c\u00e1c t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n l\u00e0 1 6 8 9. Gh\u00e9p c\u00e1c s\u1ed1 trong nh\u1eefng t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n nh\u01b0 sau: 161 181 191 686 696 898. Suy ra ta c\u00f3 12 con s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh cho tu\u1ea7n k\u1ebf ti\u1ebfp, KQ l\u00e0 CN \u0111\u1ec1 v\u1ec1 18.<\/p>\n
Tu\u1ea7n t\u1eeb 14 -> 20 c\u00e1c t\u1ed5ng \u0111\u00e3 xu\u1ea5t hi\u1ec7n l\u00e0: 2 6 1 0 2 0 9, c\u00e1c t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n l\u00e0 3 4 5 7 8, c\u0169ng gh\u00e9p nh\u01b0 tr\u00ean 343 353 373 383 454 474 484 575 585. Suy ra, 18 con s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh cho tu\u1ea7n k\u1ebf ti\u1ebfp, KQ l\u00e0 T3 \u0111\u1ec1 v\u1ec1 58<\/p>\n
2. Lo\u1ea1i tr\u1eeb T2 v\u00e0 T3.<\/h4>\nV\u00ed d\u1ee5:<\/h5>\n
D\u1ec1 tu\u1ea7n t\u1eeb 14->20 ta c\u00f3 KQ c\u1ee7a T2 v\u00e0 T3 l\u00e0 11 v\u00e0 06, nh\u01b0 v\u1eady l\u00e0 c\u00f2n l\u1ea1i 2 3 4 5 7 8 9 gh\u00e9p v\u00e0o nh\u01b0 sau:<\/p>\n
232 242 252 272 282 292
\n343 353 373 383 393
\n454 474 484 494
\n575 585 595
\n787 797 898<\/p>\n
Nh\u01b0 v\u1eady k\u1ebft qu\u1ea3 trong tu\u1ea7n \u0111\u00f3 c\u00f3 83 48 v\u00e0 28.<\/p>\n
\u0110\u1ea7u l\u00f4 c\u00e2m h\u00f4m tr\u01b0\u1edbc h\u00f4m sau hay ra:<\/h4>\n
0: 04, 06, 09
\n1: 17, (g\u00e2n \u0111\u00e2y th\u00eam 16)
\n2: 21, 25, 29 (n\u1ebfu v\u00e0o th\u1ee9 4, CN th\u00eam 24)
\n3: 30, 36, 39
\n4: 40, 44, 45
\n5:
\n6: 61, 69
\n7: 70, 71
\n8: 80, 82, 89
\n9: 95<\/p>\n
\u0110\u1ea7u X c\u00e2m ng\u00e0y h\u00f4m nay th\u00ec ng\u00e0y mai fang 3 con 0X0 XX<\/h4>\n
X c\u00e0ng nh\u1ecf th\u00ec x\u00e1c su\u1ea5t c\u00e0ng cao. Nghi\u00ean c\u1ee9u v\u00e0 r\u00fat ra \u0111\u01b0\u1ee3c c\u00e1ch \u0111\u00e1nh \u0111\u1ec1 d\u00e0n<\/strong>, tr\u00ean gi\u1ea5y t\u1edd l\u00fd thuy\u1ebft th\u00ec kh\u00f4ng sai t\u00ed gi\u00e0 c\u1ea3. Th\u1ed1ng k\u00ea trong v\u00f2ng 1 th\u00e1ng th\u1ebf n\u00e0o c\u0169ng l\u00e3i v\u00e0i tri\u1ec7u v\u1edbi s\u1ed1 v\u1ed1n kho\u1ea3ng 9-10 tri\u1ec7u.<\/p>\nNh\u01b0ng c\u1edd b\u1ea1c o\u00e1i o\u0103m l\u00e0 \u1edf ch\u1ed7 \u1ea5y\u2026 T\u1ea5t c\u1ea3 nh\u1eefng th\u1eb1ng c\u1edd b\u1ea1c ch\u1ea3 c\u00f3 th\u1eb1ng n\u00e0o l\u00e0 kh\u00f4ng cay c\u00fa c\u1ea3, v\u00e0 c\u00e1i quan tr\u1ecdng h\u01a1n l\u00e0 c\u00f3 ki\u1ec1m ch\u1ebf \u0111\u01b0\u1ee3c b\u1ea3n th\u00e2n m\u00ecnh kh\u00f4ng. Sau \u0111\u00e2y t\u00f4i xin n\u00f3i s\u01a1 qua v\u1ec1 c\u00f4ng tr\u00ecnh nghi\u00ean c\u1ee9u c\u1ee7a t\u00f4i.<\/p>\n
Trong b\u1ea3ng t\u00ednh EXCEL, h\u00e0ng ngang l\u00e0 c\u00e1c con s\u1ed1 t\u1eeb 00-99, h\u00e0ng d\u1ecdc l\u00e0 ng\u00e0y\/th\u00e1ng. T\u00f4i \u0111\u00e3 nghi\u00ean c\u1ee9u v\u00e0 t\u1eadp h\u1ee3p k\u1ebft qu\u1ea3 XST\u0110 trong v\u00f2ng 2n\u0103m th\u00ec th\u1ea5y r\u1eb1ng r\u1ea5t \u00edt con \u201cl\u1eb7n\u201d (ngh\u0129a l\u00e0 l\u00e2u k ra) \u0111\u1ebfn ng\u00e0y th\u1ee9 28. V\u00e0 th\u01b0\u1eddng ra nhi\u1ec1u nh\u1ea5t v\u00e0o kho\u1ea3ng ng\u00e0y th\u1ee9 17-18.<\/p>\n
V\u1eady n\u00ean c\u1ee9 con n\u00e0o r\u01a1i v\u00e0o ng\u00e0y th\u1ee9 17-18 l\u00e0 \u0111\u00e1nh \u0111\u01b0\u1ee3c.<\/p>\n
V\u00ed d\u1ee5:<\/h5>\n
H\u00f4m nay c\u00f3 3 con \u0111c 18 ng\u00e0y, ta \u0111\u00e1nh m\u1ed7i con 1\u0111i\u1ec3m, n\u1ebfu k ra, h\u00f4m sau \u0111\u00e1nh 2 \u0111i\u1ec3m + \u0111\u00e1nh th\u00eam s\u1ed1 ti\u1ec1n bao nhi\u00eau \u0111\u00f3 \u0111\u1ec3 b\u00f9 v\u00e0o s\u1ed1 \u0111i\u1ec3m thua ng\u00e0y h\u00f4m trc. V\u00e0 c\u1ee9 th\u1ebf \u0111\u00e1nh \u0111\u1ebfn khi n\u00e0o ra th\u00ec th\u00f4i.<\/p>\n
Nh\u01b0ng g\u1eb7p tr\u01b0\u1eddng h\u1ee3p nh\u1eefng con l\u00ean \u0111\u1ec9nh \u0111i\u1ec3m m\u1ea5y ch\u1ee5c ng\u00e0y kh\u00f4ng ra th\u00ec c\u00f3 m\u00e0 s\u1ea1t nghi\u1ec7p n\u00ean ta gi\u1edbi h\u1ea1n ch\u1ec9 \u0111\u00e1nh \u0111\u1ebfn ng\u00e0y th\u1ee9 28. C\u00e1c b\u1ea1n \u0111\u1eebng t\u01b0\u1edfng \u0111\u00f9a, m\u1ed7i ng\u00e0y 1 \u0111i\u1ec3m 1 con nh\u01b0ng d\u00e3 nam l\u1eafm \u0111\u1ea5y. N\u1ebfu con n\u00e0o \u0111\u1ebfn ng\u00e0y 28 m\u00e0 v\u1eabn ch\u01b0a ra th\u00ec quy\u1ebft t\u00e2m b\u1ecf kh\u00f4ng ch\u01a1i n\u1eefa \u0111\u1ec3 l\u1ea5y v\u1ed1n nu\u00f4i con kh\u00e1c. Ch\u01b0a bao gi\u1edd t\u00f4i th\u1ea5y c\u00f3 3 con c\u00f9ng l\u1eb7n \u0111\u01b0\u1ee3c 28 ng\u00e0y, th\u1eadm ch\u00ed 2 con c\u00f2n hi\u1ebfm.<\/p>\n
M\u00e0 trong th\u1eddi gian nu\u00f4i 3 con kia ch\u1eafc ch\u1eafn s\u1ebd c\u00f3 nh\u1eefng con kh\u00e1c ch\u1ea1m m\u1ee9c 18 ng\u00e0y v\u00e0 1 s\u1ed1 con s\u1ebd ph\u1ea3i ra. V\u1eady th\u00ec ta s\u1ebd san \u0111\u1ec1u s\u1ed1 \u0111i\u1ec3m cho t\u1ea5t c\u1ea3 c\u00e1c con trong tr\u01b0\u1eddng h\u1ee3p nu\u00f4i ph\u1ea3i 1 \u0111\u1ebfn 2 con l\u00e2u k ra qu\u00e1. VD nu\u00f4i con 86 \u0111\u1ebfn ng\u00e0y th\u1ee9 24 v\u1eabn ch\u01b0a ra, m\u00e0 h\u00f4m nay l\u1ea1i ph\u1ea3i \u0111\u00e1nh 3-4 con ch\u1ea1m m\u1ee9c 18 ng\u00e0y. Ta l\u1ea5y s\u1ed1 \u0111i\u1ec3m \u0111\u00e1nh con 86 + s\u1ed1 \u0111i\u1ec3m \u0111\u00e1nh 4 con kia chia \u0111\u1ec1u cho 4 con \u0111\u1ec3 l\u1ee1 con 86 k ra, m\u1ea5y con kia ra th\u00ec v\u1eabn g\u1ee1 \u0111\u01b0\u1ee3c.<\/p>\n
B\u1ecdn ch\u1ee7 l\u00f4 s\u1ee3 nh\u1ea5t:<\/h5>\n
<\/p>\n
Nh\u1eefng th\u1eb1ng t\u00ednh to\u00e1n theo c\u00e1ch n\u00e0y v\u00e0 ch\u00fang n\u00f3 c\u0169ng n\u0103m \u0111\u01b0\u1ee3c quy lu\u1eadt n\u00e0y n\u00ean th\u1ec9nh tho\u1ea3ng c\u00f3 hi\u1ec7n t\u01b0\u1ee3ng \u201ckh\u1ed1ng\u201d con n\u1ecd con kia. \u201cKh\u1ed1ng\u201d c\u00f3 ngh\u0129a l\u00e0 kh\u00f4ng \u0111\u01b0\u1ee3c \u0111\u00e1nh con \u0111\u1ea5y, ho\u1eb7c n\u1ebfu c\u00f3 \u0111c ch\u0103ng n\u1eefa c\u00fang ch\u1ec9 nh\u1eadn kho\u1ea3ng 10\u0111i\u1ec3m g\u1ecdi l\u00e0 gi\u1eef kh\u00e1ch. Nghe th\u00ec \u0111\u01a1n gi\u1ea3n l\u1eafm \u0111\u1ea5y, l\u1eadp b\u1ea3ng r\u1ed3i t\u00ednh to\u00e1n th\u1ea5y hi\u1ec7u qu\u1ea3 tuy\u1ec7t v\u1eddi.<\/p>\n
Ch\u1ea3 th\u00e1ng n\u00e0o l\u1ed7 c\u1ea3\u2026V\u1edbi 7-8 tri\u1ec7u l\u00e0m v\u1ed1n, theo c\u00e1ch n\u00e0y tr\u00ean b\u1ea3ng t\u00ednh to\u00e1n th\u00ec th\u00e1ng n\u00e0o b\u00e9t ra c\u0169ng ph\u1ea3i l\u00e3i 3 tri\u1ec7u.<\/p>\n
Nh\u01b0ng cu\u1ed9c \u0111\u1eddi kh\u00f4ng \u0111\u01a1n gi\u1ea3n th\u1ebf \u0111\u00e2u, v\u00e0o cu\u1ed9c r\u1ed3i m\u1edbi bi\u1ebft r\u1ea5t nhi\u1ec1u y\u1ebfu t\u1ed1 t\u00e1c \u0111\u1ed9ng. Ph\u1ea3i c\u00f3 1 th\u1ea7n kinh th\u00e9p h\u01a1n ng\u01b0\u1eddi v\u00e0 ki\u00ean tr\u00ec tu\u00e2n th\u1ee7 tuy\u1ec7t \u0111\u1ed1i th\u00ec m\u1edbi \u0111i \u0111\u1ebfn th\u00e0nh qu\u1ea3 \u0111\u01b0\u1ee3c. Nh\u01b0ng v\u1edbi b\u1ea3ng s\u1ed1 li\u1ec7u m\u1edbi 2 n\u0103m th\u00ec ch\u01b0a \u0103n thua g\u00ec c\u1ea3. Ch\u01b0a t\u00ednh \u0111\u1ebfn chuy\u1ec7n t\u00e1c \u0111\u1ed9ng x\u00e3 h\u1ed9i nh\u01b0 \u0111\u1ebfn khi nu\u00f4i \u0111\u1ebfn 28 ng\u00e0y, mu\u1ed1n \u0111\u00e1nh ti\u1ebfp th\u00ec b\u00e1c ghi \u0111\u1ec1 c\u00f3 vi\u1ec7c tang gia b\u1ed1i r\u1ed1i, \u0111\u01b0a v\u1ee3 con \u0111i du l\u1ecbch, ho\u1eb7c b\u1ecb c\u00f4ng an h\u1ecfi th\u0103m\u2026 th\u00ec coi nh\u01b0 \u201cg\u1eaby c\u1ea7u\u201d .<\/p>\n
C\u00f2n gi\u1ea3 s\u1eed thu\u1eadn bu\u1ed3m xu\u00f4i gi\u00f3 th\u00e1ng n\u00e0y qua th\u00e1ng kh\u00e1c \u0111\u1ec1u \u0111\u01b0\u1ee3c, nh\u01b0ng \u0111\u1ebfn 1 n\u0103m n\u00e0o \u0111\u00f3 th\u00ec bi\u1ebfn c\u1ed1 l\u1eb7n m\u1edbi x\u1ea3y ra\u2026khi \u0111\u00f3 v\u00ec \u201ckh\u00e1t n\u01b0\u1edbc\u201d b\u00e1n xe, c\u1ea7m \u0111\u1ed3 \u0111\u1ec3 nu\u00f4i cho ra b\u1eb1ng \u0111\u01b0\u1ee3c \u0111\u1ebfn khi h\u1ebft ti\u1ec1n ph\u1ea3i d\u1eebng m\u1ed9t h\u00f4m (vay ti\u1ec1n \u0111\u00e1nh ti\u1ebfp) \u0111\u00fang c\u00e1i h\u00f4m \u201ct\u1ea1m d\u1eebng \u0111\u00f3\u201d m\u00e0 s\u1ed1 \u0111\u00f3 l\u1ea1i v\u1ec1 th\u00ec coi nh\u01b0 \u201cgi\u1ea3i t\u00e1n\u201d c\u1ea3 m\u1ea5y n\u0103m \u0111\u01b0\u1ee3c .<\/p>\n
B\u1ea3n ch\u1ea5t \u0111\u00e1nh ki\u1ec3u n\u00e0y l\u00e0 ch\u01a1i \u201cg\u1ea5p th\u1ebfp\u201d, x\u00e9t v\u1ec1 x\u00e1c su\u1ea5t to\u00e1n h\u1ecdc l\u00e0 r\u1ea5t kh\u1ea3 thi.<\/p>\n
V\u00ed d\u1ee5:<\/h5>\n
X\u00e1c su\u1ea5t \u0111\u1ec3 \u0111\u00e1nh 1 s\u1ed1 kh\u00f4ng v\u1ec1 l\u00e0 ( 100\/100 \u2013 27\/100) = 73\/100 = 0,73<\/p>\n
\n- X\u00e1c su\u1ea5t \u0111\u1ec3 ng\u00e0y th\u1ee9 hai kh\u00f4ng v\u1ec1 l\u00e0 0,73*0,73 = 0,5329<\/li>\n
- X\u00e1c su\u1ea5t \u0111\u1ec3 ng\u00e0y th\u1ee9 hai kh\u00f4ng v\u1ec1 l\u00e0 0,73*0,73*0,73 = 0,389017<\/li>\n<\/ul>\n
V\u00e0 v\u1ec1 l\u00fd thuy\u1ebft th\u00ec x\u00e1c su\u1ea5t 1 s\u1ed1 sau 18 ng\u00e0y kh\u00f4ng xu\u1ea5t hi\u1ec7n l\u00e0 r\u1ea5t b\u00e9 coi nh\u01b0 b\u1eb1ng 0, nh\u01b0ng th\u1ef1c t\u1ebf v\u1eabn x\u1ea3y ra. Ch\u00fang ta ph\u1ea3i hi\u1ec3u m\u1ed7i ng\u00e0y m\u1ed9t t\u1ec9nh quay v\u00e0 trong 1 t\u1ec9nh th\u00ec c\u00f3 h\u00f4m y\u1ebfu t\u1ed1 t\u00e1c \u0111\u1ed9ng th\u1ebf n\u00e0y c\u00f3 h\u00f4m th\u00ec nh\u01b0 th\u1ebf kh\u00e1c (nh\u01b0 c\u00e1c b\u00e0i k\u1ec3 tr\u00ean).<\/p>\n<\/div>\n
\n
T\u01b0 t\u01b0\u1edfng v\u00e0 t\u00e2m l\u00fd Lu\u00f4n t\u1ec9nh t\u00e1o, kh\u00f4ng \u0111\u01b0\u1ee3c ph\u00e9p ch\u1ee7 quan duy \u00fd ch\u00ed Lu\u00f4n lu\u00f4n t\u1ec9nh t\u00e1o, kh\u00f4ng bao gi\u1edd \u0111\u01b0\u1ee3c ph\u00e9p ch\u1ee7 quan duy \u00fd ch\u00ed c\u1eady \u0111\u1ecf l\u00e0m c\u00e0n. Kh\u00f4ng \u0111\u01b0\u1ee3c c\u00f3 t\u00e2m l\u00fd ham g\u1ee1 g\u1ea5p khi thua, d\u00f9 thua hay th\u1eafng th\u00ec c\u0169ng ph\u1ea3i b\u00ecnh t\u0129nh kh\u00f4ng \u0111\u01b0\u1ee3c run s\u1ee3, kh\u00f4ng may m\u1ea5t r\u1ed3i th\u00ec th\u00f4i. Ngu th\u00ec \u0111\u00e3 ngu r\u1ed3i. L\u00f4 \u0111\u1ec1 c\u0169ng gi\u1ed1ng nh\u01b0 c\u00e1c m\u00f4n c\u1edd b\u1ea1c kh\u00e1c suy ngh\u0129, c\u00e2n nh\u1eafc k\u1ef9 c\u00e0ng tr\u01b0\u1edbc khi ra quy\u1ebft \u0111\u1ecbnh, kh\u00f4ng \u0111\u01b0\u1ee3c ch\u1ee7 quan, Th\u1eafng th\u00ec kh\u00f4ng ki\u00eau v\u00e0 kh\u00f4ng n\u1ea3n, s\u1ee3 h\u00e3i. Ph\u1ea3i c\u00f3 tr\u1ef1c gi\u00e1c t\u1ed1t, \u0111\u1ea3m b\u1ea3o s\u1ee9c kh\u1ecfe, vui v\u1ebb th\u00ec m\u1edbi \u0111\u1ee7 T\u1ef1 tin<\/p>\n
B\u00ed k\u00edp th\u1ee9 hai:<\/strong><\/h5>\nChu\u1ea9n b\u1ecb \u0111\u1ee7 v\u1ed1n T\u1ea5t nhi\u00ean mu\u1ed1n ch\u01a1i \u0111\u1ea7u ti\u00ean ph\u1ea3i c\u00f3 v\u1ed1n nh\u01b0ng \u0111\u00e1nh theo k\u1ebf ho\u1ea1ch v\u00e0 \u0111\u00e1nh theo s\u1ed1 ti\u1ec1n m\u00ecnh c\u00f3 Lu\u00f4n ph\u1ea3i nh\u1edb m\u1ed9t \u0111i\u1ec1u l\u00e0 kh\u00f4ng th\u1ec3 ch\u1eafc ch\u1eafn 100% l\u00e0 con s\u1ed1 n\u00e0o s\u1ebd v\u1ec1 n\u00ean ph\u1ea3i lu\u00f4n \u0111\u1ec3 m\u1ed9t \u0111\u01b0\u1eddng lui cho m\u00ecnh. \u0110\u1eb7c bi\u1ec7t l\u00e0 kh\u00f4ng n\u00ean vay m\u01b0\u1ee3n, hay c\u00e2m c\u1ed1 \u0111\u1ed3 \u0111\u1ea1c nh\u01b0: xe m\u00e1y, laptop \u0111\u1ec3 ch\u01a1i. V\u00ec nh\u01b0 th\u1ebf s\u1ebd \u1ea3nh h\u01b0\u1edfng r\u1ea5t nhi\u1ec1u \u0111\u1ebfn t\u00e2m l\u00fd, d\u1eabn \u0111\u1ebfn kh\u00f4ng th\u1ec3 t\u1ec9nh t\u00e1o \u0111\u01b0\u1ee3c.<\/p>\n
B\u00ed ki\u1ebfp th\u1eed ba:<\/strong><\/h5>\nD\u1ef1a v\u00e0o th\u1ed1ng k\u00ea khoa h\u1ecdc Do k\u1ebft qu\u1ea3 x\u1ed5 s\u1ed1, l\u00f4 \u0111\u1ec1 v\u1eabn l\u00e0 d\u1ef1a v\u00e0o c\u00e1c l\u1ed3ng quay, c\u00e1c vi\u00ean bi s\u1ebd quy\u1ebft \u0111inh k\u1ebft qu\u1ea3. N\u00ean t\u1ea5t c\u1ea3 c\u00f3 th\u1ec3 tu\u00e2n theo m\u1ed9t quy lu\u1eadt n\u00e0o \u0111\u1ea5y trong m\u1ed7i ng\u00e0y li\u00ean ti\u1ebfp, th\u1eddi ti\u1ebft, m\u00f9a h\u00e8 hay m\u00f9a \u0111\u00f4ng c\u0169ng c\u00f3 th\u1ec3 \u1ea3nh h\u01b0\u1edfng.<\/p>\n
B\u00ed ki\u1ebfp th\u1ee9 t\u01b0:<\/strong><\/h5>\nC\u00f3 ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh \u0110\u1ec3 c\u00f3 ph\u01b0\u01a1ng th\u1ee9c \u0111\u00e1nh hi\u1ec7u qu\u1ea3 c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 xem m\u1ed9t s\u1ed1 ph\u01b0\u1eddng ph\u00e1p \u1edf c\u00e1c b\u00e0i tr\u01b0\u1edbc c\u1ee7a ch\u00fang t\u00f4i ngo\u00e0i ra c\u00f2n m\u1ed9t s\u1ed1 ph\u01b0\u01a1ng ph\u00e1p nh\u1ecf kh\u00e1c c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 theo d\u00f5i nh\u01b0 sau:<\/p>\n
Ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh \u0111\u1ec1 d\u00e0n hi\u1ec7u qu\u1ea3 trong tu\u1ea7n<\/h5>\n\n- \u0110\u00e1nh theo bi\u1ec3n s\u1ed1 xe, \u0111\u1ea7u s\u1ed1 \u0110T c\u1ee7a c\u00e1c t\u1ec9nh quay s\u1ed1 ng\u00e0y h\u00f4m \u0111\u00f3 (V\u00ed d\u1ee5: X\u1ed5 s\u1ed1 H\u1ea3i ph\u00f2ng \u0111\u00e1nh 161 hay Thanh H\u00f3a \u0111\u00e1nh 36).<\/li>\n
- Th\u1ed1ng k\u00ea sau con s\u1ed1 g\u00ec hay ra con s\u1ed1 g\u00ec\u2026v\u00ed d\u1ee5 con 36 v\u00e0 con 56\u2026<\/li>\n
- \u0110\u00e1nh theo t\u1ea7n xu\u1ea5t ra nhi\u1ec1u c\u1ee7a c\u00e1c con s\u1ed1. \u0110\u00e1nh xung quanh con l\u00f4 ra 2 nh\u00e1y.<\/li>\n
- Th\u1ed1ng k\u00ea ng\u00e0y m\u1ea5y, th\u1ee9 m\u1ea5y hay ra s\u1ed1 g\u00ec, \u0111\u00e1nh theo.<\/li>\n
- Th\u1ed1ng k\u00ea c\u00e1c con hay ra tr\u00ean c\u00e1c web s\u1ed5 s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh theo<\/li>\n<\/ul>\n
\u0110\u00e2y l\u00e0 nh\u1eefng b\u00ed k\u00edp \u0111\u00e1nh l\u00f4 \u0111\u1ec1 th\u1ea5t truy\u1ec1n \u0111\u00e3 l\u00e2u hy v\u1ecdng c\u00e1c b\u1ea1n s\u1ebd v\u1eadn d\u1ee5ng n\u00f3 th\u1eadt t\u1ed1t \u0111\u1ec3 d\u00e0nh chi\u1ebfn th\u1eafng ch\u1ee7 l\u00f4 nh\u00e9!<\/strong><\/h4>\n<\/p>\n
1. Th\u1ed1ng k\u00ea nh\u1eefng t\u1ed5ng \u0111\u00e3 ra c\u1ee7a tu\u1ea7n tr\u01b0\u1edbc \u0111\u00f3.<\/h4>\nV\u00ed d\u1ee5:<\/h5>\n
Tu\u1ea7n t\u1eeb ng\u00e0y 7 \u0111\u1ebfn ng\u00e0y 13 ta c\u00f3 c\u00e1c t\u1ed5ng \u0111\u00e3 xu\u1ea5t hi\u1ec7n l\u00e0 3 7 0 4 4 2 5 c\u00e1c t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n l\u00e0 1 6 8 9. Gh\u00e9p c\u00e1c s\u1ed1 trong nh\u1eefng t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n nh\u01b0 sau: 161 181 191 686 696 898. Suy ra ta c\u00f3 12 con s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh cho tu\u1ea7n k\u1ebf ti\u1ebfp, KQ l\u00e0 CN \u0111\u1ec1 v\u1ec1 18.<\/p>\n
Tu\u1ea7n t\u1eeb 14 -> 20 c\u00e1c t\u1ed5ng \u0111\u00e3 xu\u1ea5t hi\u1ec7n l\u00e0: 2 6 1 0 2 0 9, c\u00e1c t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n l\u00e0 3 4 5 7 8, c\u0169ng gh\u00e9p nh\u01b0 tr\u00ean 343 353 373 383 454 474 484 575 585. Suy ra, 18 con s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh cho tu\u1ea7n k\u1ebf ti\u1ebfp, KQ l\u00e0 T3 \u0111\u1ec1 v\u1ec1 58<\/p>\n
2. Lo\u1ea1i tr\u1eeb T2 v\u00e0 T3.<\/h4>\nV\u00ed d\u1ee5:<\/h5>\n
D\u1ec1 tu\u1ea7n t\u1eeb 14->20 ta c\u00f3 KQ c\u1ee7a T2 v\u00e0 T3 l\u00e0 11 v\u00e0 06, nh\u01b0 v\u1eady l\u00e0 c\u00f2n l\u1ea1i 2 3 4 5 7 8 9 gh\u00e9p v\u00e0o nh\u01b0 sau:<\/p>\n
232 242 252 272 282 292
\n343 353 373 383 393
\n454 474 484 494
\n575 585 595
\n787 797 898<\/p>\n
Nh\u01b0 v\u1eady k\u1ebft qu\u1ea3 trong tu\u1ea7n \u0111\u00f3 c\u00f3 83 48 v\u00e0 28.<\/p>\n
\u0110\u1ea7u l\u00f4 c\u00e2m h\u00f4m tr\u01b0\u1edbc h\u00f4m sau hay ra:<\/h4>\n
0: 04, 06, 09
\n1: 17, (g\u00e2n \u0111\u00e2y th\u00eam 16)
\n2: 21, 25, 29 (n\u1ebfu v\u00e0o th\u1ee9 4, CN th\u00eam 24)
\n3: 30, 36, 39
\n4: 40, 44, 45
\n5:
\n6: 61, 69
\n7: 70, 71
\n8: 80, 82, 89
\n9: 95<\/p>\n
\u0110\u1ea7u X c\u00e2m ng\u00e0y h\u00f4m nay th\u00ec ng\u00e0y mai fang 3 con 0X0 XX<\/h4>\n
X c\u00e0ng nh\u1ecf th\u00ec x\u00e1c su\u1ea5t c\u00e0ng cao. Nghi\u00ean c\u1ee9u v\u00e0 r\u00fat ra \u0111\u01b0\u1ee3c c\u00e1ch \u0111\u00e1nh \u0111\u1ec1 d\u00e0n<\/strong>, tr\u00ean gi\u1ea5y t\u1edd l\u00fd thuy\u1ebft th\u00ec kh\u00f4ng sai t\u00ed gi\u00e0 c\u1ea3. Th\u1ed1ng k\u00ea trong v\u00f2ng 1 th\u00e1ng th\u1ebf n\u00e0o c\u0169ng l\u00e3i v\u00e0i tri\u1ec7u v\u1edbi s\u1ed1 v\u1ed1n kho\u1ea3ng 9-10 tri\u1ec7u.<\/p>\nNh\u01b0ng c\u1edd b\u1ea1c o\u00e1i o\u0103m l\u00e0 \u1edf ch\u1ed7 \u1ea5y\u2026 T\u1ea5t c\u1ea3 nh\u1eefng th\u1eb1ng c\u1edd b\u1ea1c ch\u1ea3 c\u00f3 th\u1eb1ng n\u00e0o l\u00e0 kh\u00f4ng cay c\u00fa c\u1ea3, v\u00e0 c\u00e1i quan tr\u1ecdng h\u01a1n l\u00e0 c\u00f3 ki\u1ec1m ch\u1ebf \u0111\u01b0\u1ee3c b\u1ea3n th\u00e2n m\u00ecnh kh\u00f4ng. Sau \u0111\u00e2y t\u00f4i xin n\u00f3i s\u01a1 qua v\u1ec1 c\u00f4ng tr\u00ecnh nghi\u00ean c\u1ee9u c\u1ee7a t\u00f4i.<\/p>\n
Trong b\u1ea3ng t\u00ednh EXCEL, h\u00e0ng ngang l\u00e0 c\u00e1c con s\u1ed1 t\u1eeb 00-99, h\u00e0ng d\u1ecdc l\u00e0 ng\u00e0y\/th\u00e1ng. T\u00f4i \u0111\u00e3 nghi\u00ean c\u1ee9u v\u00e0 t\u1eadp h\u1ee3p k\u1ebft qu\u1ea3 XST\u0110 trong v\u00f2ng 2n\u0103m th\u00ec th\u1ea5y r\u1eb1ng r\u1ea5t \u00edt con \u201cl\u1eb7n\u201d (ngh\u0129a l\u00e0 l\u00e2u k ra) \u0111\u1ebfn ng\u00e0y th\u1ee9 28. V\u00e0 th\u01b0\u1eddng ra nhi\u1ec1u nh\u1ea5t v\u00e0o kho\u1ea3ng ng\u00e0y th\u1ee9 17-18.<\/p>\n
V\u1eady n\u00ean c\u1ee9 con n\u00e0o r\u01a1i v\u00e0o ng\u00e0y th\u1ee9 17-18 l\u00e0 \u0111\u00e1nh \u0111\u01b0\u1ee3c.<\/p>\n
V\u00ed d\u1ee5:<\/h5>\n
H\u00f4m nay c\u00f3 3 con \u0111c 18 ng\u00e0y, ta \u0111\u00e1nh m\u1ed7i con 1\u0111i\u1ec3m, n\u1ebfu k ra, h\u00f4m sau \u0111\u00e1nh 2 \u0111i\u1ec3m + \u0111\u00e1nh th\u00eam s\u1ed1 ti\u1ec1n bao nhi\u00eau \u0111\u00f3 \u0111\u1ec3 b\u00f9 v\u00e0o s\u1ed1 \u0111i\u1ec3m thua ng\u00e0y h\u00f4m trc. V\u00e0 c\u1ee9 th\u1ebf \u0111\u00e1nh \u0111\u1ebfn khi n\u00e0o ra th\u00ec th\u00f4i.<\/p>\n
Nh\u01b0ng g\u1eb7p tr\u01b0\u1eddng h\u1ee3p nh\u1eefng con l\u00ean \u0111\u1ec9nh \u0111i\u1ec3m m\u1ea5y ch\u1ee5c ng\u00e0y kh\u00f4ng ra th\u00ec c\u00f3 m\u00e0 s\u1ea1t nghi\u1ec7p n\u00ean ta gi\u1edbi h\u1ea1n ch\u1ec9 \u0111\u00e1nh \u0111\u1ebfn ng\u00e0y th\u1ee9 28. C\u00e1c b\u1ea1n \u0111\u1eebng t\u01b0\u1edfng \u0111\u00f9a, m\u1ed7i ng\u00e0y 1 \u0111i\u1ec3m 1 con nh\u01b0ng d\u00e3 nam l\u1eafm \u0111\u1ea5y. N\u1ebfu con n\u00e0o \u0111\u1ebfn ng\u00e0y 28 m\u00e0 v\u1eabn ch\u01b0a ra th\u00ec quy\u1ebft t\u00e2m b\u1ecf kh\u00f4ng ch\u01a1i n\u1eefa \u0111\u1ec3 l\u1ea5y v\u1ed1n nu\u00f4i con kh\u00e1c. Ch\u01b0a bao gi\u1edd t\u00f4i th\u1ea5y c\u00f3 3 con c\u00f9ng l\u1eb7n \u0111\u01b0\u1ee3c 28 ng\u00e0y, th\u1eadm ch\u00ed 2 con c\u00f2n hi\u1ebfm.<\/p>\n
M\u00e0 trong th\u1eddi gian nu\u00f4i 3 con kia ch\u1eafc ch\u1eafn s\u1ebd c\u00f3 nh\u1eefng con kh\u00e1c ch\u1ea1m m\u1ee9c 18 ng\u00e0y v\u00e0 1 s\u1ed1 con s\u1ebd ph\u1ea3i ra. V\u1eady th\u00ec ta s\u1ebd san \u0111\u1ec1u s\u1ed1 \u0111i\u1ec3m cho t\u1ea5t c\u1ea3 c\u00e1c con trong tr\u01b0\u1eddng h\u1ee3p nu\u00f4i ph\u1ea3i 1 \u0111\u1ebfn 2 con l\u00e2u k ra qu\u00e1. VD nu\u00f4i con 86 \u0111\u1ebfn ng\u00e0y th\u1ee9 24 v\u1eabn ch\u01b0a ra, m\u00e0 h\u00f4m nay l\u1ea1i ph\u1ea3i \u0111\u00e1nh 3-4 con ch\u1ea1m m\u1ee9c 18 ng\u00e0y. Ta l\u1ea5y s\u1ed1 \u0111i\u1ec3m \u0111\u00e1nh con 86 + s\u1ed1 \u0111i\u1ec3m \u0111\u00e1nh 4 con kia chia \u0111\u1ec1u cho 4 con \u0111\u1ec3 l\u1ee1 con 86 k ra, m\u1ea5y con kia ra th\u00ec v\u1eabn g\u1ee1 \u0111\u01b0\u1ee3c.<\/p>\n
B\u1ecdn ch\u1ee7 l\u00f4 s\u1ee3 nh\u1ea5t:<\/h5>\n
<\/p>\n
Nh\u1eefng th\u1eb1ng t\u00ednh to\u00e1n theo c\u00e1ch n\u00e0y v\u00e0 ch\u00fang n\u00f3 c\u0169ng n\u0103m \u0111\u01b0\u1ee3c quy lu\u1eadt n\u00e0y n\u00ean th\u1ec9nh tho\u1ea3ng c\u00f3 hi\u1ec7n t\u01b0\u1ee3ng \u201ckh\u1ed1ng\u201d con n\u1ecd con kia. \u201cKh\u1ed1ng\u201d c\u00f3 ngh\u0129a l\u00e0 kh\u00f4ng \u0111\u01b0\u1ee3c \u0111\u00e1nh con \u0111\u1ea5y, ho\u1eb7c n\u1ebfu c\u00f3 \u0111c ch\u0103ng n\u1eefa c\u00fang ch\u1ec9 nh\u1eadn kho\u1ea3ng 10\u0111i\u1ec3m g\u1ecdi l\u00e0 gi\u1eef kh\u00e1ch. Nghe th\u00ec \u0111\u01a1n gi\u1ea3n l\u1eafm \u0111\u1ea5y, l\u1eadp b\u1ea3ng r\u1ed3i t\u00ednh to\u00e1n th\u1ea5y hi\u1ec7u qu\u1ea3 tuy\u1ec7t v\u1eddi.<\/p>\n
Ch\u1ea3 th\u00e1ng n\u00e0o l\u1ed7 c\u1ea3\u2026V\u1edbi 7-8 tri\u1ec7u l\u00e0m v\u1ed1n, theo c\u00e1ch n\u00e0y tr\u00ean b\u1ea3ng t\u00ednh to\u00e1n th\u00ec th\u00e1ng n\u00e0o b\u00e9t ra c\u0169ng ph\u1ea3i l\u00e3i 3 tri\u1ec7u.<\/p>\n
Nh\u01b0ng cu\u1ed9c \u0111\u1eddi kh\u00f4ng \u0111\u01a1n gi\u1ea3n th\u1ebf \u0111\u00e2u, v\u00e0o cu\u1ed9c r\u1ed3i m\u1edbi bi\u1ebft r\u1ea5t nhi\u1ec1u y\u1ebfu t\u1ed1 t\u00e1c \u0111\u1ed9ng. Ph\u1ea3i c\u00f3 1 th\u1ea7n kinh th\u00e9p h\u01a1n ng\u01b0\u1eddi v\u00e0 ki\u00ean tr\u00ec tu\u00e2n th\u1ee7 tuy\u1ec7t \u0111\u1ed1i th\u00ec m\u1edbi \u0111i \u0111\u1ebfn th\u00e0nh qu\u1ea3 \u0111\u01b0\u1ee3c. Nh\u01b0ng v\u1edbi b\u1ea3ng s\u1ed1 li\u1ec7u m\u1edbi 2 n\u0103m th\u00ec ch\u01b0a \u0103n thua g\u00ec c\u1ea3. Ch\u01b0a t\u00ednh \u0111\u1ebfn chuy\u1ec7n t\u00e1c \u0111\u1ed9ng x\u00e3 h\u1ed9i nh\u01b0 \u0111\u1ebfn khi nu\u00f4i \u0111\u1ebfn 28 ng\u00e0y, mu\u1ed1n \u0111\u00e1nh ti\u1ebfp th\u00ec b\u00e1c ghi \u0111\u1ec1 c\u00f3 vi\u1ec7c tang gia b\u1ed1i r\u1ed1i, \u0111\u01b0a v\u1ee3 con \u0111i du l\u1ecbch, ho\u1eb7c b\u1ecb c\u00f4ng an h\u1ecfi th\u0103m\u2026 th\u00ec coi nh\u01b0 \u201cg\u1eaby c\u1ea7u\u201d .<\/p>\n
C\u00f2n gi\u1ea3 s\u1eed thu\u1eadn bu\u1ed3m xu\u00f4i gi\u00f3 th\u00e1ng n\u00e0y qua th\u00e1ng kh\u00e1c \u0111\u1ec1u \u0111\u01b0\u1ee3c, nh\u01b0ng \u0111\u1ebfn 1 n\u0103m n\u00e0o \u0111\u00f3 th\u00ec bi\u1ebfn c\u1ed1 l\u1eb7n m\u1edbi x\u1ea3y ra\u2026khi \u0111\u00f3 v\u00ec \u201ckh\u00e1t n\u01b0\u1edbc\u201d b\u00e1n xe, c\u1ea7m \u0111\u1ed3 \u0111\u1ec3 nu\u00f4i cho ra b\u1eb1ng \u0111\u01b0\u1ee3c \u0111\u1ebfn khi h\u1ebft ti\u1ec1n ph\u1ea3i d\u1eebng m\u1ed9t h\u00f4m (vay ti\u1ec1n \u0111\u00e1nh ti\u1ebfp) \u0111\u00fang c\u00e1i h\u00f4m \u201ct\u1ea1m d\u1eebng \u0111\u00f3\u201d m\u00e0 s\u1ed1 \u0111\u00f3 l\u1ea1i v\u1ec1 th\u00ec coi nh\u01b0 \u201cgi\u1ea3i t\u00e1n\u201d c\u1ea3 m\u1ea5y n\u0103m \u0111\u01b0\u1ee3c .<\/p>\n
B\u1ea3n ch\u1ea5t \u0111\u00e1nh ki\u1ec3u n\u00e0y l\u00e0 ch\u01a1i \u201cg\u1ea5p th\u1ebfp\u201d, x\u00e9t v\u1ec1 x\u00e1c su\u1ea5t to\u00e1n h\u1ecdc l\u00e0 r\u1ea5t kh\u1ea3 thi.<\/p>\n
V\u00ed d\u1ee5:<\/h5>\n
X\u00e1c su\u1ea5t \u0111\u1ec3 \u0111\u00e1nh 1 s\u1ed1 kh\u00f4ng v\u1ec1 l\u00e0 ( 100\/100 \u2013 27\/100) = 73\/100 = 0,73<\/p>\n
\n- X\u00e1c su\u1ea5t \u0111\u1ec3 ng\u00e0y th\u1ee9 hai kh\u00f4ng v\u1ec1 l\u00e0 0,73*0,73 = 0,5329<\/li>\n
- X\u00e1c su\u1ea5t \u0111\u1ec3 ng\u00e0y th\u1ee9 hai kh\u00f4ng v\u1ec1 l\u00e0 0,73*0,73*0,73 = 0,389017<\/li>\n<\/ul>\n
V\u00e0 v\u1ec1 l\u00fd thuy\u1ebft th\u00ec x\u00e1c su\u1ea5t 1 s\u1ed1 sau 18 ng\u00e0y kh\u00f4ng xu\u1ea5t hi\u1ec7n l\u00e0 r\u1ea5t b\u00e9 coi nh\u01b0 b\u1eb1ng 0, nh\u01b0ng th\u1ef1c t\u1ebf v\u1eabn x\u1ea3y ra. Ch\u00fang ta ph\u1ea3i hi\u1ec3u m\u1ed7i ng\u00e0y m\u1ed9t t\u1ec9nh quay v\u00e0 trong 1 t\u1ec9nh th\u00ec c\u00f3 h\u00f4m y\u1ebfu t\u1ed1 t\u00e1c \u0111\u1ed9ng th\u1ebf n\u00e0y c\u00f3 h\u00f4m th\u00ec nh\u01b0 th\u1ebf kh\u00e1c (nh\u01b0 c\u00e1c b\u00e0i k\u1ec3 tr\u00ean).<\/p>\n<\/div>\n
\n
D\u1ef1a v\u00e0o th\u1ed1ng k\u00ea khoa h\u1ecdc Do k\u1ebft qu\u1ea3 x\u1ed5 s\u1ed1, l\u00f4 \u0111\u1ec1 v\u1eabn l\u00e0 d\u1ef1a v\u00e0o c\u00e1c l\u1ed3ng quay, c\u00e1c vi\u00ean bi s\u1ebd quy\u1ebft \u0111inh k\u1ebft qu\u1ea3. N\u00ean t\u1ea5t c\u1ea3 c\u00f3 th\u1ec3 tu\u00e2n theo m\u1ed9t quy lu\u1eadt n\u00e0o \u0111\u1ea5y trong m\u1ed7i ng\u00e0y li\u00ean ti\u1ebfp, th\u1eddi ti\u1ebft, m\u00f9a h\u00e8 hay m\u00f9a \u0111\u00f4ng c\u0169ng c\u00f3 th\u1ec3 \u1ea3nh h\u01b0\u1edfng.<\/p>\n
B\u00ed ki\u1ebfp th\u1ee9 t\u01b0:<\/strong><\/h5>\nC\u00f3 ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh \u0110\u1ec3 c\u00f3 ph\u01b0\u01a1ng th\u1ee9c \u0111\u00e1nh hi\u1ec7u qu\u1ea3 c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 xem m\u1ed9t s\u1ed1 ph\u01b0\u1eddng ph\u00e1p \u1edf c\u00e1c b\u00e0i tr\u01b0\u1edbc c\u1ee7a ch\u00fang t\u00f4i ngo\u00e0i ra c\u00f2n m\u1ed9t s\u1ed1 ph\u01b0\u01a1ng ph\u00e1p nh\u1ecf kh\u00e1c c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 theo d\u00f5i nh\u01b0 sau:<\/p>\n
Ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh \u0111\u1ec1 d\u00e0n hi\u1ec7u qu\u1ea3 trong tu\u1ea7n<\/h5>\n\n- \u0110\u00e1nh theo bi\u1ec3n s\u1ed1 xe, \u0111\u1ea7u s\u1ed1 \u0110T c\u1ee7a c\u00e1c t\u1ec9nh quay s\u1ed1 ng\u00e0y h\u00f4m \u0111\u00f3 (V\u00ed d\u1ee5: X\u1ed5 s\u1ed1 H\u1ea3i ph\u00f2ng \u0111\u00e1nh 161 hay Thanh H\u00f3a \u0111\u00e1nh 36).<\/li>\n
- Th\u1ed1ng k\u00ea sau con s\u1ed1 g\u00ec hay ra con s\u1ed1 g\u00ec\u2026v\u00ed d\u1ee5 con 36 v\u00e0 con 56\u2026<\/li>\n
- \u0110\u00e1nh theo t\u1ea7n xu\u1ea5t ra nhi\u1ec1u c\u1ee7a c\u00e1c con s\u1ed1. \u0110\u00e1nh xung quanh con l\u00f4 ra 2 nh\u00e1y.<\/li>\n
- Th\u1ed1ng k\u00ea ng\u00e0y m\u1ea5y, th\u1ee9 m\u1ea5y hay ra s\u1ed1 g\u00ec, \u0111\u00e1nh theo.<\/li>\n
- Th\u1ed1ng k\u00ea c\u00e1c con hay ra tr\u00ean c\u00e1c web s\u1ed5 s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh theo<\/li>\n<\/ul>\n
\u0110\u00e2y l\u00e0 nh\u1eefng b\u00ed k\u00edp \u0111\u00e1nh l\u00f4 \u0111\u1ec1 th\u1ea5t truy\u1ec1n \u0111\u00e3 l\u00e2u hy v\u1ecdng c\u00e1c b\u1ea1n s\u1ebd v\u1eadn d\u1ee5ng n\u00f3 th\u1eadt t\u1ed1t \u0111\u1ec3 d\u00e0nh chi\u1ebfn th\u1eafng ch\u1ee7 l\u00f4 nh\u00e9!<\/strong><\/h4>\n<\/p>\n
1. Th\u1ed1ng k\u00ea nh\u1eefng t\u1ed5ng \u0111\u00e3 ra c\u1ee7a tu\u1ea7n tr\u01b0\u1edbc \u0111\u00f3.<\/h4>\nV\u00ed d\u1ee5:<\/h5>\n
Tu\u1ea7n t\u1eeb ng\u00e0y 7 \u0111\u1ebfn ng\u00e0y 13 ta c\u00f3 c\u00e1c t\u1ed5ng \u0111\u00e3 xu\u1ea5t hi\u1ec7n l\u00e0 3 7 0 4 4 2 5 c\u00e1c t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n l\u00e0 1 6 8 9. Gh\u00e9p c\u00e1c s\u1ed1 trong nh\u1eefng t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n nh\u01b0 sau: 161 181 191 686 696 898. Suy ra ta c\u00f3 12 con s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh cho tu\u1ea7n k\u1ebf ti\u1ebfp, KQ l\u00e0 CN \u0111\u1ec1 v\u1ec1 18.<\/p>\n
Tu\u1ea7n t\u1eeb 14 -> 20 c\u00e1c t\u1ed5ng \u0111\u00e3 xu\u1ea5t hi\u1ec7n l\u00e0: 2 6 1 0 2 0 9, c\u00e1c t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n l\u00e0 3 4 5 7 8, c\u0169ng gh\u00e9p nh\u01b0 tr\u00ean 343 353 373 383 454 474 484 575 585. Suy ra, 18 con s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh cho tu\u1ea7n k\u1ebf ti\u1ebfp, KQ l\u00e0 T3 \u0111\u1ec1 v\u1ec1 58<\/p>\n
2. Lo\u1ea1i tr\u1eeb T2 v\u00e0 T3.<\/h4>\nV\u00ed d\u1ee5:<\/h5>\n
D\u1ec1 tu\u1ea7n t\u1eeb 14->20 ta c\u00f3 KQ c\u1ee7a T2 v\u00e0 T3 l\u00e0 11 v\u00e0 06, nh\u01b0 v\u1eady l\u00e0 c\u00f2n l\u1ea1i 2 3 4 5 7 8 9 gh\u00e9p v\u00e0o nh\u01b0 sau:<\/p>\n
232 242 252 272 282 292
\n343 353 373 383 393
\n454 474 484 494
\n575 585 595
\n787 797 898<\/p>\n
Nh\u01b0 v\u1eady k\u1ebft qu\u1ea3 trong tu\u1ea7n \u0111\u00f3 c\u00f3 83 48 v\u00e0 28.<\/p>\n
\u0110\u1ea7u l\u00f4 c\u00e2m h\u00f4m tr\u01b0\u1edbc h\u00f4m sau hay ra:<\/h4>\n
0: 04, 06, 09
\n1: 17, (g\u00e2n \u0111\u00e2y th\u00eam 16)
\n2: 21, 25, 29 (n\u1ebfu v\u00e0o th\u1ee9 4, CN th\u00eam 24)
\n3: 30, 36, 39
\n4: 40, 44, 45
\n5:
\n6: 61, 69
\n7: 70, 71
\n8: 80, 82, 89
\n9: 95<\/p>\n
\u0110\u1ea7u X c\u00e2m ng\u00e0y h\u00f4m nay th\u00ec ng\u00e0y mai fang 3 con 0X0 XX<\/h4>\n
X c\u00e0ng nh\u1ecf th\u00ec x\u00e1c su\u1ea5t c\u00e0ng cao. Nghi\u00ean c\u1ee9u v\u00e0 r\u00fat ra \u0111\u01b0\u1ee3c c\u00e1ch \u0111\u00e1nh \u0111\u1ec1 d\u00e0n<\/strong>, tr\u00ean gi\u1ea5y t\u1edd l\u00fd thuy\u1ebft th\u00ec kh\u00f4ng sai t\u00ed gi\u00e0 c\u1ea3. Th\u1ed1ng k\u00ea trong v\u00f2ng 1 th\u00e1ng th\u1ebf n\u00e0o c\u0169ng l\u00e3i v\u00e0i tri\u1ec7u v\u1edbi s\u1ed1 v\u1ed1n kho\u1ea3ng 9-10 tri\u1ec7u.<\/p>\nNh\u01b0ng c\u1edd b\u1ea1c o\u00e1i o\u0103m l\u00e0 \u1edf ch\u1ed7 \u1ea5y\u2026 T\u1ea5t c\u1ea3 nh\u1eefng th\u1eb1ng c\u1edd b\u1ea1c ch\u1ea3 c\u00f3 th\u1eb1ng n\u00e0o l\u00e0 kh\u00f4ng cay c\u00fa c\u1ea3, v\u00e0 c\u00e1i quan tr\u1ecdng h\u01a1n l\u00e0 c\u00f3 ki\u1ec1m ch\u1ebf \u0111\u01b0\u1ee3c b\u1ea3n th\u00e2n m\u00ecnh kh\u00f4ng. Sau \u0111\u00e2y t\u00f4i xin n\u00f3i s\u01a1 qua v\u1ec1 c\u00f4ng tr\u00ecnh nghi\u00ean c\u1ee9u c\u1ee7a t\u00f4i.<\/p>\n
Trong b\u1ea3ng t\u00ednh EXCEL, h\u00e0ng ngang l\u00e0 c\u00e1c con s\u1ed1 t\u1eeb 00-99, h\u00e0ng d\u1ecdc l\u00e0 ng\u00e0y\/th\u00e1ng. T\u00f4i \u0111\u00e3 nghi\u00ean c\u1ee9u v\u00e0 t\u1eadp h\u1ee3p k\u1ebft qu\u1ea3 XST\u0110 trong v\u00f2ng 2n\u0103m th\u00ec th\u1ea5y r\u1eb1ng r\u1ea5t \u00edt con \u201cl\u1eb7n\u201d (ngh\u0129a l\u00e0 l\u00e2u k ra) \u0111\u1ebfn ng\u00e0y th\u1ee9 28. V\u00e0 th\u01b0\u1eddng ra nhi\u1ec1u nh\u1ea5t v\u00e0o kho\u1ea3ng ng\u00e0y th\u1ee9 17-18.<\/p>\n
V\u1eady n\u00ean c\u1ee9 con n\u00e0o r\u01a1i v\u00e0o ng\u00e0y th\u1ee9 17-18 l\u00e0 \u0111\u00e1nh \u0111\u01b0\u1ee3c.<\/p>\n
V\u00ed d\u1ee5:<\/h5>\n
H\u00f4m nay c\u00f3 3 con \u0111c 18 ng\u00e0y, ta \u0111\u00e1nh m\u1ed7i con 1\u0111i\u1ec3m, n\u1ebfu k ra, h\u00f4m sau \u0111\u00e1nh 2 \u0111i\u1ec3m + \u0111\u00e1nh th\u00eam s\u1ed1 ti\u1ec1n bao nhi\u00eau \u0111\u00f3 \u0111\u1ec3 b\u00f9 v\u00e0o s\u1ed1 \u0111i\u1ec3m thua ng\u00e0y h\u00f4m trc. V\u00e0 c\u1ee9 th\u1ebf \u0111\u00e1nh \u0111\u1ebfn khi n\u00e0o ra th\u00ec th\u00f4i.<\/p>\n
Nh\u01b0ng g\u1eb7p tr\u01b0\u1eddng h\u1ee3p nh\u1eefng con l\u00ean \u0111\u1ec9nh \u0111i\u1ec3m m\u1ea5y ch\u1ee5c ng\u00e0y kh\u00f4ng ra th\u00ec c\u00f3 m\u00e0 s\u1ea1t nghi\u1ec7p n\u00ean ta gi\u1edbi h\u1ea1n ch\u1ec9 \u0111\u00e1nh \u0111\u1ebfn ng\u00e0y th\u1ee9 28. C\u00e1c b\u1ea1n \u0111\u1eebng t\u01b0\u1edfng \u0111\u00f9a, m\u1ed7i ng\u00e0y 1 \u0111i\u1ec3m 1 con nh\u01b0ng d\u00e3 nam l\u1eafm \u0111\u1ea5y. N\u1ebfu con n\u00e0o \u0111\u1ebfn ng\u00e0y 28 m\u00e0 v\u1eabn ch\u01b0a ra th\u00ec quy\u1ebft t\u00e2m b\u1ecf kh\u00f4ng ch\u01a1i n\u1eefa \u0111\u1ec3 l\u1ea5y v\u1ed1n nu\u00f4i con kh\u00e1c. Ch\u01b0a bao gi\u1edd t\u00f4i th\u1ea5y c\u00f3 3 con c\u00f9ng l\u1eb7n \u0111\u01b0\u1ee3c 28 ng\u00e0y, th\u1eadm ch\u00ed 2 con c\u00f2n hi\u1ebfm.<\/p>\n
M\u00e0 trong th\u1eddi gian nu\u00f4i 3 con kia ch\u1eafc ch\u1eafn s\u1ebd c\u00f3 nh\u1eefng con kh\u00e1c ch\u1ea1m m\u1ee9c 18 ng\u00e0y v\u00e0 1 s\u1ed1 con s\u1ebd ph\u1ea3i ra. V\u1eady th\u00ec ta s\u1ebd san \u0111\u1ec1u s\u1ed1 \u0111i\u1ec3m cho t\u1ea5t c\u1ea3 c\u00e1c con trong tr\u01b0\u1eddng h\u1ee3p nu\u00f4i ph\u1ea3i 1 \u0111\u1ebfn 2 con l\u00e2u k ra qu\u00e1. VD nu\u00f4i con 86 \u0111\u1ebfn ng\u00e0y th\u1ee9 24 v\u1eabn ch\u01b0a ra, m\u00e0 h\u00f4m nay l\u1ea1i ph\u1ea3i \u0111\u00e1nh 3-4 con ch\u1ea1m m\u1ee9c 18 ng\u00e0y. Ta l\u1ea5y s\u1ed1 \u0111i\u1ec3m \u0111\u00e1nh con 86 + s\u1ed1 \u0111i\u1ec3m \u0111\u00e1nh 4 con kia chia \u0111\u1ec1u cho 4 con \u0111\u1ec3 l\u1ee1 con 86 k ra, m\u1ea5y con kia ra th\u00ec v\u1eabn g\u1ee1 \u0111\u01b0\u1ee3c.<\/p>\n
B\u1ecdn ch\u1ee7 l\u00f4 s\u1ee3 nh\u1ea5t:<\/h5>\n
<\/p>\n
Nh\u1eefng th\u1eb1ng t\u00ednh to\u00e1n theo c\u00e1ch n\u00e0y v\u00e0 ch\u00fang n\u00f3 c\u0169ng n\u0103m \u0111\u01b0\u1ee3c quy lu\u1eadt n\u00e0y n\u00ean th\u1ec9nh tho\u1ea3ng c\u00f3 hi\u1ec7n t\u01b0\u1ee3ng \u201ckh\u1ed1ng\u201d con n\u1ecd con kia. \u201cKh\u1ed1ng\u201d c\u00f3 ngh\u0129a l\u00e0 kh\u00f4ng \u0111\u01b0\u1ee3c \u0111\u00e1nh con \u0111\u1ea5y, ho\u1eb7c n\u1ebfu c\u00f3 \u0111c ch\u0103ng n\u1eefa c\u00fang ch\u1ec9 nh\u1eadn kho\u1ea3ng 10\u0111i\u1ec3m g\u1ecdi l\u00e0 gi\u1eef kh\u00e1ch. Nghe th\u00ec \u0111\u01a1n gi\u1ea3n l\u1eafm \u0111\u1ea5y, l\u1eadp b\u1ea3ng r\u1ed3i t\u00ednh to\u00e1n th\u1ea5y hi\u1ec7u qu\u1ea3 tuy\u1ec7t v\u1eddi.<\/p>\n
Ch\u1ea3 th\u00e1ng n\u00e0o l\u1ed7 c\u1ea3\u2026V\u1edbi 7-8 tri\u1ec7u l\u00e0m v\u1ed1n, theo c\u00e1ch n\u00e0y tr\u00ean b\u1ea3ng t\u00ednh to\u00e1n th\u00ec th\u00e1ng n\u00e0o b\u00e9t ra c\u0169ng ph\u1ea3i l\u00e3i 3 tri\u1ec7u.<\/p>\n
Nh\u01b0ng cu\u1ed9c \u0111\u1eddi kh\u00f4ng \u0111\u01a1n gi\u1ea3n th\u1ebf \u0111\u00e2u, v\u00e0o cu\u1ed9c r\u1ed3i m\u1edbi bi\u1ebft r\u1ea5t nhi\u1ec1u y\u1ebfu t\u1ed1 t\u00e1c \u0111\u1ed9ng. Ph\u1ea3i c\u00f3 1 th\u1ea7n kinh th\u00e9p h\u01a1n ng\u01b0\u1eddi v\u00e0 ki\u00ean tr\u00ec tu\u00e2n th\u1ee7 tuy\u1ec7t \u0111\u1ed1i th\u00ec m\u1edbi \u0111i \u0111\u1ebfn th\u00e0nh qu\u1ea3 \u0111\u01b0\u1ee3c. Nh\u01b0ng v\u1edbi b\u1ea3ng s\u1ed1 li\u1ec7u m\u1edbi 2 n\u0103m th\u00ec ch\u01b0a \u0103n thua g\u00ec c\u1ea3. Ch\u01b0a t\u00ednh \u0111\u1ebfn chuy\u1ec7n t\u00e1c \u0111\u1ed9ng x\u00e3 h\u1ed9i nh\u01b0 \u0111\u1ebfn khi nu\u00f4i \u0111\u1ebfn 28 ng\u00e0y, mu\u1ed1n \u0111\u00e1nh ti\u1ebfp th\u00ec b\u00e1c ghi \u0111\u1ec1 c\u00f3 vi\u1ec7c tang gia b\u1ed1i r\u1ed1i, \u0111\u01b0a v\u1ee3 con \u0111i du l\u1ecbch, ho\u1eb7c b\u1ecb c\u00f4ng an h\u1ecfi th\u0103m\u2026 th\u00ec coi nh\u01b0 \u201cg\u1eaby c\u1ea7u\u201d .<\/p>\n
C\u00f2n gi\u1ea3 s\u1eed thu\u1eadn bu\u1ed3m xu\u00f4i gi\u00f3 th\u00e1ng n\u00e0y qua th\u00e1ng kh\u00e1c \u0111\u1ec1u \u0111\u01b0\u1ee3c, nh\u01b0ng \u0111\u1ebfn 1 n\u0103m n\u00e0o \u0111\u00f3 th\u00ec bi\u1ebfn c\u1ed1 l\u1eb7n m\u1edbi x\u1ea3y ra\u2026khi \u0111\u00f3 v\u00ec \u201ckh\u00e1t n\u01b0\u1edbc\u201d b\u00e1n xe, c\u1ea7m \u0111\u1ed3 \u0111\u1ec3 nu\u00f4i cho ra b\u1eb1ng \u0111\u01b0\u1ee3c \u0111\u1ebfn khi h\u1ebft ti\u1ec1n ph\u1ea3i d\u1eebng m\u1ed9t h\u00f4m (vay ti\u1ec1n \u0111\u00e1nh ti\u1ebfp) \u0111\u00fang c\u00e1i h\u00f4m \u201ct\u1ea1m d\u1eebng \u0111\u00f3\u201d m\u00e0 s\u1ed1 \u0111\u00f3 l\u1ea1i v\u1ec1 th\u00ec coi nh\u01b0 \u201cgi\u1ea3i t\u00e1n\u201d c\u1ea3 m\u1ea5y n\u0103m \u0111\u01b0\u1ee3c .<\/p>\n
B\u1ea3n ch\u1ea5t \u0111\u00e1nh ki\u1ec3u n\u00e0y l\u00e0 ch\u01a1i \u201cg\u1ea5p th\u1ebfp\u201d, x\u00e9t v\u1ec1 x\u00e1c su\u1ea5t to\u00e1n h\u1ecdc l\u00e0 r\u1ea5t kh\u1ea3 thi.<\/p>\n
V\u00ed d\u1ee5:<\/h5>\n
X\u00e1c su\u1ea5t \u0111\u1ec3 \u0111\u00e1nh 1 s\u1ed1 kh\u00f4ng v\u1ec1 l\u00e0 ( 100\/100 \u2013 27\/100) = 73\/100 = 0,73<\/p>\n
\n- X\u00e1c su\u1ea5t \u0111\u1ec3 ng\u00e0y th\u1ee9 hai kh\u00f4ng v\u1ec1 l\u00e0 0,73*0,73 = 0,5329<\/li>\n
- X\u00e1c su\u1ea5t \u0111\u1ec3 ng\u00e0y th\u1ee9 hai kh\u00f4ng v\u1ec1 l\u00e0 0,73*0,73*0,73 = 0,389017<\/li>\n<\/ul>\n
V\u00e0 v\u1ec1 l\u00fd thuy\u1ebft th\u00ec x\u00e1c su\u1ea5t 1 s\u1ed1 sau 18 ng\u00e0y kh\u00f4ng xu\u1ea5t hi\u1ec7n l\u00e0 r\u1ea5t b\u00e9 coi nh\u01b0 b\u1eb1ng 0, nh\u01b0ng th\u1ef1c t\u1ebf v\u1eabn x\u1ea3y ra. Ch\u00fang ta ph\u1ea3i hi\u1ec3u m\u1ed7i ng\u00e0y m\u1ed9t t\u1ec9nh quay v\u00e0 trong 1 t\u1ec9nh th\u00ec c\u00f3 h\u00f4m y\u1ebfu t\u1ed1 t\u00e1c \u0111\u1ed9ng th\u1ebf n\u00e0y c\u00f3 h\u00f4m th\u00ec nh\u01b0 th\u1ebf kh\u00e1c (nh\u01b0 c\u00e1c b\u00e0i k\u1ec3 tr\u00ean).<\/p>\n<\/div>\n
\n
- \n
- \u0110\u00e1nh theo bi\u1ec3n s\u1ed1 xe, \u0111\u1ea7u s\u1ed1 \u0110T c\u1ee7a c\u00e1c t\u1ec9nh quay s\u1ed1 ng\u00e0y h\u00f4m \u0111\u00f3 (V\u00ed d\u1ee5: X\u1ed5 s\u1ed1 H\u1ea3i ph\u00f2ng \u0111\u00e1nh 161 hay Thanh H\u00f3a \u0111\u00e1nh 36).<\/li>\n
- Th\u1ed1ng k\u00ea sau con s\u1ed1 g\u00ec hay ra con s\u1ed1 g\u00ec\u2026v\u00ed d\u1ee5 con 36 v\u00e0 con 56\u2026<\/li>\n
- \u0110\u00e1nh theo t\u1ea7n xu\u1ea5t ra nhi\u1ec1u c\u1ee7a c\u00e1c con s\u1ed1. \u0110\u00e1nh xung quanh con l\u00f4 ra 2 nh\u00e1y.<\/li>\n
- Th\u1ed1ng k\u00ea ng\u00e0y m\u1ea5y, th\u1ee9 m\u1ea5y hay ra s\u1ed1 g\u00ec, \u0111\u00e1nh theo.<\/li>\n
- Th\u1ed1ng k\u00ea c\u00e1c con hay ra tr\u00ean c\u00e1c web s\u1ed5 s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh theo<\/li>\n<\/ul>\n
\u0110\u00e2y l\u00e0 nh\u1eefng b\u00ed k\u00edp \u0111\u00e1nh l\u00f4 \u0111\u1ec1 th\u1ea5t truy\u1ec1n \u0111\u00e3 l\u00e2u hy v\u1ecdng c\u00e1c b\u1ea1n s\u1ebd v\u1eadn d\u1ee5ng n\u00f3 th\u1eadt t\u1ed1t \u0111\u1ec3 d\u00e0nh chi\u1ebfn th\u1eafng ch\u1ee7 l\u00f4 nh\u00e9!<\/strong><\/h4>\n
<\/p>\n
1. Th\u1ed1ng k\u00ea nh\u1eefng t\u1ed5ng \u0111\u00e3 ra c\u1ee7a tu\u1ea7n tr\u01b0\u1edbc \u0111\u00f3.<\/h4>\n
V\u00ed d\u1ee5:<\/h5>\n
Tu\u1ea7n t\u1eeb ng\u00e0y 7 \u0111\u1ebfn ng\u00e0y 13 ta c\u00f3 c\u00e1c t\u1ed5ng \u0111\u00e3 xu\u1ea5t hi\u1ec7n l\u00e0 3 7 0 4 4 2 5 c\u00e1c t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n l\u00e0 1 6 8 9. Gh\u00e9p c\u00e1c s\u1ed1 trong nh\u1eefng t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n nh\u01b0 sau: 161 181 191 686 696 898. Suy ra ta c\u00f3 12 con s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh cho tu\u1ea7n k\u1ebf ti\u1ebfp, KQ l\u00e0 CN \u0111\u1ec1 v\u1ec1 18.<\/p>\n
Tu\u1ea7n t\u1eeb 14 -> 20 c\u00e1c t\u1ed5ng \u0111\u00e3 xu\u1ea5t hi\u1ec7n l\u00e0: 2 6 1 0 2 0 9, c\u00e1c t\u1ed5ng ch\u01b0a xu\u1ea5t hi\u1ec7n l\u00e0 3 4 5 7 8, c\u0169ng gh\u00e9p nh\u01b0 tr\u00ean 343 353 373 383 454 474 484 575 585. Suy ra, 18 con s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh cho tu\u1ea7n k\u1ebf ti\u1ebfp, KQ l\u00e0 T3 \u0111\u1ec1 v\u1ec1 58<\/p>\n
2. Lo\u1ea1i tr\u1eeb T2 v\u00e0 T3.<\/h4>\n
V\u00ed d\u1ee5:<\/h5>\n
D\u1ec1 tu\u1ea7n t\u1eeb 14->20 ta c\u00f3 KQ c\u1ee7a T2 v\u00e0 T3 l\u00e0 11 v\u00e0 06, nh\u01b0 v\u1eady l\u00e0 c\u00f2n l\u1ea1i 2 3 4 5 7 8 9 gh\u00e9p v\u00e0o nh\u01b0 sau:<\/p>\n
232 242 252 272 282 292
\n343 353 373 383 393
\n454 474 484 494
\n575 585 595
\n787 797 898<\/p>\nNh\u01b0 v\u1eady k\u1ebft qu\u1ea3 trong tu\u1ea7n \u0111\u00f3 c\u00f3 83 48 v\u00e0 28.<\/p>\n
\u0110\u1ea7u l\u00f4 c\u00e2m h\u00f4m tr\u01b0\u1edbc h\u00f4m sau hay ra:<\/h4>\n
0: 04, 06, 09
\n1: 17, (g\u00e2n \u0111\u00e2y th\u00eam 16)
\n2: 21, 25, 29 (n\u1ebfu v\u00e0o th\u1ee9 4, CN th\u00eam 24)
\n3: 30, 36, 39
\n4: 40, 44, 45
\n5:
\n6: 61, 69
\n7: 70, 71
\n8: 80, 82, 89
\n9: 95<\/p>\n\u0110\u1ea7u X c\u00e2m ng\u00e0y h\u00f4m nay th\u00ec ng\u00e0y mai fang 3 con 0X0 XX<\/h4>\n
X c\u00e0ng nh\u1ecf th\u00ec x\u00e1c su\u1ea5t c\u00e0ng cao. Nghi\u00ean c\u1ee9u v\u00e0 r\u00fat ra \u0111\u01b0\u1ee3c c\u00e1ch \u0111\u00e1nh \u0111\u1ec1 d\u00e0n<\/strong>, tr\u00ean gi\u1ea5y t\u1edd l\u00fd thuy\u1ebft th\u00ec kh\u00f4ng sai t\u00ed gi\u00e0 c\u1ea3. Th\u1ed1ng k\u00ea trong v\u00f2ng 1 th\u00e1ng th\u1ebf n\u00e0o c\u0169ng l\u00e3i v\u00e0i tri\u1ec7u v\u1edbi s\u1ed1 v\u1ed1n kho\u1ea3ng 9-10 tri\u1ec7u.<\/p>\n
Nh\u01b0ng c\u1edd b\u1ea1c o\u00e1i o\u0103m l\u00e0 \u1edf ch\u1ed7 \u1ea5y\u2026 T\u1ea5t c\u1ea3 nh\u1eefng th\u1eb1ng c\u1edd b\u1ea1c ch\u1ea3 c\u00f3 th\u1eb1ng n\u00e0o l\u00e0 kh\u00f4ng cay c\u00fa c\u1ea3, v\u00e0 c\u00e1i quan tr\u1ecdng h\u01a1n l\u00e0 c\u00f3 ki\u1ec1m ch\u1ebf \u0111\u01b0\u1ee3c b\u1ea3n th\u00e2n m\u00ecnh kh\u00f4ng. Sau \u0111\u00e2y t\u00f4i xin n\u00f3i s\u01a1 qua v\u1ec1 c\u00f4ng tr\u00ecnh nghi\u00ean c\u1ee9u c\u1ee7a t\u00f4i.<\/p>\n
Trong b\u1ea3ng t\u00ednh EXCEL, h\u00e0ng ngang l\u00e0 c\u00e1c con s\u1ed1 t\u1eeb 00-99, h\u00e0ng d\u1ecdc l\u00e0 ng\u00e0y\/th\u00e1ng. T\u00f4i \u0111\u00e3 nghi\u00ean c\u1ee9u v\u00e0 t\u1eadp h\u1ee3p k\u1ebft qu\u1ea3 XST\u0110 trong v\u00f2ng 2n\u0103m th\u00ec th\u1ea5y r\u1eb1ng r\u1ea5t \u00edt con \u201cl\u1eb7n\u201d (ngh\u0129a l\u00e0 l\u00e2u k ra) \u0111\u1ebfn ng\u00e0y th\u1ee9 28. V\u00e0 th\u01b0\u1eddng ra nhi\u1ec1u nh\u1ea5t v\u00e0o kho\u1ea3ng ng\u00e0y th\u1ee9 17-18.<\/p>\n
V\u1eady n\u00ean c\u1ee9 con n\u00e0o r\u01a1i v\u00e0o ng\u00e0y th\u1ee9 17-18 l\u00e0 \u0111\u00e1nh \u0111\u01b0\u1ee3c.<\/p>\n
V\u00ed d\u1ee5:<\/h5>\n
H\u00f4m nay c\u00f3 3 con \u0111c 18 ng\u00e0y, ta \u0111\u00e1nh m\u1ed7i con 1\u0111i\u1ec3m, n\u1ebfu k ra, h\u00f4m sau \u0111\u00e1nh 2 \u0111i\u1ec3m + \u0111\u00e1nh th\u00eam s\u1ed1 ti\u1ec1n bao nhi\u00eau \u0111\u00f3 \u0111\u1ec3 b\u00f9 v\u00e0o s\u1ed1 \u0111i\u1ec3m thua ng\u00e0y h\u00f4m trc. V\u00e0 c\u1ee9 th\u1ebf \u0111\u00e1nh \u0111\u1ebfn khi n\u00e0o ra th\u00ec th\u00f4i.<\/p>\n
Nh\u01b0ng g\u1eb7p tr\u01b0\u1eddng h\u1ee3p nh\u1eefng con l\u00ean \u0111\u1ec9nh \u0111i\u1ec3m m\u1ea5y ch\u1ee5c ng\u00e0y kh\u00f4ng ra th\u00ec c\u00f3 m\u00e0 s\u1ea1t nghi\u1ec7p n\u00ean ta gi\u1edbi h\u1ea1n ch\u1ec9 \u0111\u00e1nh \u0111\u1ebfn ng\u00e0y th\u1ee9 28. C\u00e1c b\u1ea1n \u0111\u1eebng t\u01b0\u1edfng \u0111\u00f9a, m\u1ed7i ng\u00e0y 1 \u0111i\u1ec3m 1 con nh\u01b0ng d\u00e3 nam l\u1eafm \u0111\u1ea5y. N\u1ebfu con n\u00e0o \u0111\u1ebfn ng\u00e0y 28 m\u00e0 v\u1eabn ch\u01b0a ra th\u00ec quy\u1ebft t\u00e2m b\u1ecf kh\u00f4ng ch\u01a1i n\u1eefa \u0111\u1ec3 l\u1ea5y v\u1ed1n nu\u00f4i con kh\u00e1c. Ch\u01b0a bao gi\u1edd t\u00f4i th\u1ea5y c\u00f3 3 con c\u00f9ng l\u1eb7n \u0111\u01b0\u1ee3c 28 ng\u00e0y, th\u1eadm ch\u00ed 2 con c\u00f2n hi\u1ebfm.<\/p>\n
M\u00e0 trong th\u1eddi gian nu\u00f4i 3 con kia ch\u1eafc ch\u1eafn s\u1ebd c\u00f3 nh\u1eefng con kh\u00e1c ch\u1ea1m m\u1ee9c 18 ng\u00e0y v\u00e0 1 s\u1ed1 con s\u1ebd ph\u1ea3i ra. V\u1eady th\u00ec ta s\u1ebd san \u0111\u1ec1u s\u1ed1 \u0111i\u1ec3m cho t\u1ea5t c\u1ea3 c\u00e1c con trong tr\u01b0\u1eddng h\u1ee3p nu\u00f4i ph\u1ea3i 1 \u0111\u1ebfn 2 con l\u00e2u k ra qu\u00e1. VD nu\u00f4i con 86 \u0111\u1ebfn ng\u00e0y th\u1ee9 24 v\u1eabn ch\u01b0a ra, m\u00e0 h\u00f4m nay l\u1ea1i ph\u1ea3i \u0111\u00e1nh 3-4 con ch\u1ea1m m\u1ee9c 18 ng\u00e0y. Ta l\u1ea5y s\u1ed1 \u0111i\u1ec3m \u0111\u00e1nh con 86 + s\u1ed1 \u0111i\u1ec3m \u0111\u00e1nh 4 con kia chia \u0111\u1ec1u cho 4 con \u0111\u1ec3 l\u1ee1 con 86 k ra, m\u1ea5y con kia ra th\u00ec v\u1eabn g\u1ee1 \u0111\u01b0\u1ee3c.<\/p>\n
B\u1ecdn ch\u1ee7 l\u00f4 s\u1ee3 nh\u1ea5t:<\/h5>\n
<\/p>\n
Nh\u1eefng th\u1eb1ng t\u00ednh to\u00e1n theo c\u00e1ch n\u00e0y v\u00e0 ch\u00fang n\u00f3 c\u0169ng n\u0103m \u0111\u01b0\u1ee3c quy lu\u1eadt n\u00e0y n\u00ean th\u1ec9nh tho\u1ea3ng c\u00f3 hi\u1ec7n t\u01b0\u1ee3ng \u201ckh\u1ed1ng\u201d con n\u1ecd con kia. \u201cKh\u1ed1ng\u201d c\u00f3 ngh\u0129a l\u00e0 kh\u00f4ng \u0111\u01b0\u1ee3c \u0111\u00e1nh con \u0111\u1ea5y, ho\u1eb7c n\u1ebfu c\u00f3 \u0111c ch\u0103ng n\u1eefa c\u00fang ch\u1ec9 nh\u1eadn kho\u1ea3ng 10\u0111i\u1ec3m g\u1ecdi l\u00e0 gi\u1eef kh\u00e1ch. Nghe th\u00ec \u0111\u01a1n gi\u1ea3n l\u1eafm \u0111\u1ea5y, l\u1eadp b\u1ea3ng r\u1ed3i t\u00ednh to\u00e1n th\u1ea5y hi\u1ec7u qu\u1ea3 tuy\u1ec7t v\u1eddi.<\/p>\n
Ch\u1ea3 th\u00e1ng n\u00e0o l\u1ed7 c\u1ea3\u2026V\u1edbi 7-8 tri\u1ec7u l\u00e0m v\u1ed1n, theo c\u00e1ch n\u00e0y tr\u00ean b\u1ea3ng t\u00ednh to\u00e1n th\u00ec th\u00e1ng n\u00e0o b\u00e9t ra c\u0169ng ph\u1ea3i l\u00e3i 3 tri\u1ec7u.<\/p>\n
Nh\u01b0ng cu\u1ed9c \u0111\u1eddi kh\u00f4ng \u0111\u01a1n gi\u1ea3n th\u1ebf \u0111\u00e2u, v\u00e0o cu\u1ed9c r\u1ed3i m\u1edbi bi\u1ebft r\u1ea5t nhi\u1ec1u y\u1ebfu t\u1ed1 t\u00e1c \u0111\u1ed9ng. Ph\u1ea3i c\u00f3 1 th\u1ea7n kinh th\u00e9p h\u01a1n ng\u01b0\u1eddi v\u00e0 ki\u00ean tr\u00ec tu\u00e2n th\u1ee7 tuy\u1ec7t \u0111\u1ed1i th\u00ec m\u1edbi \u0111i \u0111\u1ebfn th\u00e0nh qu\u1ea3 \u0111\u01b0\u1ee3c. Nh\u01b0ng v\u1edbi b\u1ea3ng s\u1ed1 li\u1ec7u m\u1edbi 2 n\u0103m th\u00ec ch\u01b0a \u0103n thua g\u00ec c\u1ea3. Ch\u01b0a t\u00ednh \u0111\u1ebfn chuy\u1ec7n t\u00e1c \u0111\u1ed9ng x\u00e3 h\u1ed9i nh\u01b0 \u0111\u1ebfn khi nu\u00f4i \u0111\u1ebfn 28 ng\u00e0y, mu\u1ed1n \u0111\u00e1nh ti\u1ebfp th\u00ec b\u00e1c ghi \u0111\u1ec1 c\u00f3 vi\u1ec7c tang gia b\u1ed1i r\u1ed1i, \u0111\u01b0a v\u1ee3 con \u0111i du l\u1ecbch, ho\u1eb7c b\u1ecb c\u00f4ng an h\u1ecfi th\u0103m\u2026 th\u00ec coi nh\u01b0 \u201cg\u1eaby c\u1ea7u\u201d .<\/p>\n
C\u00f2n gi\u1ea3 s\u1eed thu\u1eadn bu\u1ed3m xu\u00f4i gi\u00f3 th\u00e1ng n\u00e0y qua th\u00e1ng kh\u00e1c \u0111\u1ec1u \u0111\u01b0\u1ee3c, nh\u01b0ng \u0111\u1ebfn 1 n\u0103m n\u00e0o \u0111\u00f3 th\u00ec bi\u1ebfn c\u1ed1 l\u1eb7n m\u1edbi x\u1ea3y ra\u2026khi \u0111\u00f3 v\u00ec \u201ckh\u00e1t n\u01b0\u1edbc\u201d b\u00e1n xe, c\u1ea7m \u0111\u1ed3 \u0111\u1ec3 nu\u00f4i cho ra b\u1eb1ng \u0111\u01b0\u1ee3c \u0111\u1ebfn khi h\u1ebft ti\u1ec1n ph\u1ea3i d\u1eebng m\u1ed9t h\u00f4m (vay ti\u1ec1n \u0111\u00e1nh ti\u1ebfp) \u0111\u00fang c\u00e1i h\u00f4m \u201ct\u1ea1m d\u1eebng \u0111\u00f3\u201d m\u00e0 s\u1ed1 \u0111\u00f3 l\u1ea1i v\u1ec1 th\u00ec coi nh\u01b0 \u201cgi\u1ea3i t\u00e1n\u201d c\u1ea3 m\u1ea5y n\u0103m \u0111\u01b0\u1ee3c .<\/p>\n
B\u1ea3n ch\u1ea5t \u0111\u00e1nh ki\u1ec3u n\u00e0y l\u00e0 ch\u01a1i \u201cg\u1ea5p th\u1ebfp\u201d, x\u00e9t v\u1ec1 x\u00e1c su\u1ea5t to\u00e1n h\u1ecdc l\u00e0 r\u1ea5t kh\u1ea3 thi.<\/p>\n
V\u00ed d\u1ee5:<\/h5>\n
X\u00e1c su\u1ea5t \u0111\u1ec3 \u0111\u00e1nh 1 s\u1ed1 kh\u00f4ng v\u1ec1 l\u00e0 ( 100\/100 \u2013 27\/100) = 73\/100 = 0,73<\/p>\n
- \n
- X\u00e1c su\u1ea5t \u0111\u1ec3 ng\u00e0y th\u1ee9 hai kh\u00f4ng v\u1ec1 l\u00e0 0,73*0,73 = 0,5329<\/li>\n
- X\u00e1c su\u1ea5t \u0111\u1ec3 ng\u00e0y th\u1ee9 hai kh\u00f4ng v\u1ec1 l\u00e0 0,73*0,73*0,73 = 0,389017<\/li>\n<\/ul>\n
V\u00e0 v\u1ec1 l\u00fd thuy\u1ebft th\u00ec x\u00e1c su\u1ea5t 1 s\u1ed1 sau 18 ng\u00e0y kh\u00f4ng xu\u1ea5t hi\u1ec7n l\u00e0 r\u1ea5t b\u00e9 coi nh\u01b0 b\u1eb1ng 0, nh\u01b0ng th\u1ef1c t\u1ebf v\u1eabn x\u1ea3y ra. Ch\u00fang ta ph\u1ea3i hi\u1ec3u m\u1ed7i ng\u00e0y m\u1ed9t t\u1ec9nh quay v\u00e0 trong 1 t\u1ec9nh th\u00ec c\u00f3 h\u00f4m y\u1ebfu t\u1ed1 t\u00e1c \u0111\u1ed9ng th\u1ebf n\u00e0y c\u00f3 h\u00f4m th\u00ec nh\u01b0 th\u1ebf kh\u00e1c (nh\u01b0 c\u00e1c b\u00e0i k\u1ec3 tr\u00ean).<\/p>\n<\/div>\n
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