{"id":18114,"date":"2024-05-12T22:44:59","date_gmt":"2024-05-12T22:44:59","guid":{"rendered":"https:\/\/soicau1068.minhngocxoso.com\/?p=18114"},"modified":"2024-05-12T22:44:59","modified_gmt":"2024-05-12T22:44:59","slug":"kien-thuc-day-du-ve-lo-de-kep-lech-kep-bang-va-kep-am","status":"publish","type":"post","link":"https:\/\/xosochinhxac100.com\/kien-thuc-day-du-ve-lo-de-kep-lech-kep-bang-va-kep-am\/","title":{"rendered":"Ki\u1ebfn th\u1ee9c \u0111\u1ea7y \u0111\u1ee7 v\u1ec1 l\u00f4 \u0111\u1ec1 k\u00e9p l\u1ec7ch, k\u00e9p b\u1eb1ng v\u00e0 k\u00e9p \u00e2m"},"content":{"rendered":"
<\/p>\n
\u0110\u1ed1i v\u1edbi nh\u1eefng cao th\u1ee7 trong l\u0129nh v\u1ef1c l\u00f4 \u0111\u1ec1 th\u00ec k\u00e9p l\u1ec7ch, k\u00e9p b\u1eb1ng, k\u00e9p \u00e2m l\u00e0 nh\u1eefng kh\u00e1i ni\u1ec7m kh\u00f4ng c\u00f2n qu\u00e1 xa l\u1ea1. Th\u1ebf nh\u01b0ng v\u1edbi nh\u1eefng ng\u01b0\u1eddi m\u1edbi th\u00ec kh\u00f4ng ph\u1ea3i ai c\u0169ng hi\u1ec3u r\u00f5 v\u1ec1 nh\u1eefng \u201cthu\u1eadt ng\u1eef chuy\u00ean ng\u00e0nh\u201d n\u00e0y. N\u1ebfu b\u1ea1n c\u0169ng \u0111ang quan t\u00e2m t\u1edbi v\u1ea5n \u0111\u1ec1 n\u00e0y, v\u1eady h\u00e3y theo d\u00f5i b\u00e0i vi\u1ebft \u0111\u01b0\u1ee3c chia s\u1ebb d\u01b0\u1edbi \u0111\u00e2y \u0111\u1ec3 c\u00f3 \u0111\u01b0\u1ee3c l\u1eddi gi\u1ea3i \u0111\u00e1p \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t.<\/p>\n
K\u00e9p l\u1ec7ch l\u00e0 kh\u00e1i ni\u1ec7m \u0111\u01b0\u1ee3c ph\u00e1t tri\u1ec3n t\u1eeb thuy\u1ebft v\u1ec1 b\u00f3ng trong l\u00f4 \u0111\u1ec1, c\u1ee5 th\u1ec3 l\u00e0 m\u1ed7i m\u1ed9t b\u00f3ng trong s\u1ed1 \u0111\u1ec1 s\u1ebd t\u01b0\u01a1ng \u1ee9ng v\u1edbi m\u1ed9t s\u1ed1 b\u00f3ng kh\u00e1c k\u00e8m theo. D\u1ef1a v\u00e0o kh\u00e1i ni\u1ec7m, ch\u00fang ta s\u1ebd c\u00f3 quy lu\u1eadt v\u1ec1 5 c\u1eb7p s\u1ed1 b\u00f3ng sau:<\/p>\n
C\u1eb7p s\u1ed1 b\u00f3ng 1: s\u1ed1 0 v\u00e0 s\u1ed1 5<\/p>\n
C\u1eb7p s\u1ed1 b\u00f3ng 2: s\u1ed1 1 v\u00e0 s\u1ed1 6<\/p>\n
C\u1eb7p s\u1ed1 b\u00f3ng 3: s\u1ed1 2 v\u00e0 s\u1ed1 7<\/p>\n
C\u1eb7p s\u1ed1 b\u00f3ng 4: s\u1ed1 3 v\u00e0 s\u1ed1 8<\/p>\n
C\u1eb7p s\u1ed1 b\u00f3ng 5: s\u1ed1 4 v\u00e0 s\u1ed1 9<\/p>\n
D\u1ef1a v\u00e0o 5 c\u1eb7p s\u1ed1 n\u00e0y c\u00f9ng t\u00ednh ch\u1ea5t b\u1eafc c\u1ea7u trong to\u00e1n h\u1ecdc b\u1ea1n ho\u00e0n to\u00e0n c\u00f3 th\u1ec3 lu\u1eadn \u0111\u01b0\u1ee3c c\u00e1c s\u1ed1 \u0111\u1ec1 kh\u00e1c c\u00f3 ph\u1ea3i l\u00e0 b\u00f3ng c\u1ee7a nhau hay kh\u00f4ng. V\u00ed d\u1ee5, c\u00e1c c\u1eb7p s\u1ed1 l\u00e0 b\u00f3ng c\u1ee7a nhau nh\u01b0 c\u1eb7p s\u1ed1 21 v\u00e0 26 hay 33 v\u00e0 38\u2026.<\/p>\n
Khi b\u1ea1n c\u00f3 \u0111\u01b0\u1ee3c nh\u1eefng con s\u1ed1 l\u00e0 b\u00f3ng c\u1ee7a nhau, b\u1ea1n h\u00e3y gh\u00e9p c\u00e1c s\u1ed1 \u0111\u1ea5y l\u1ea1i v\u1edbi nhau v\u1eady l\u00e0 b\u1ea1n s\u1ebd c\u00f3 2 c\u1eb7p s\u1ed1 k\u00e9p l\u1ec7ch. N\u1ebfu b\u1ea1n v\u1eabn ch\u01b0a hi\u1ec3u v\u1eady th\u00ec h\u00e3y xem v\u00ed d\u1ee5 c\u1ee5 th\u1ec3 n\u00e0y \u0111\u1ec3 n\u1eafm r\u00f5 nh\u00e9.<\/p>\n
Ch\u00fang ta c\u00f3 s\u1ed1 0 v\u00e0 s\u1ed1 5 l\u00e0 b\u00f3ng c\u1ee7a nhau, b\u00e2y gi\u1edd gh\u00e9p 2 s\u1ed1 n\u00e0y l\u1ea1i ta \u0111\u01b0\u1ee3c 05 v\u00e0 50 \u2013 \u0111\u00e2y ch\u00ednh l\u00e0 3 c\u1eb7p k\u00e9p l\u1ec7ch.<\/p>\n
T\u01b0\u01a1ng t\u1ef1 nh\u01b0 v\u1eady v\u1edbi nh\u1eefng c\u1eb7p b\u00f3ng c\u00f2n l\u1ea1i, ch\u00fang ta s\u1ebd c\u00f3 t\u1ed5ng c\u1ed9ng 10 c\u1eb7p k\u00e9p l\u1ec7ch l\u00e0: 05 \u2013 50, 16 \u2013 61, 27 \u2013 72, 38 \u2013 83 v\u00e0 49 \u2013 94.<\/p>\n
Nh\u00ecn nh\u1eefng con s\u1ed1 n\u00e0y b\u1ea1n c\u00f3 nh\u1eadn th\u1ea5y \u0111i\u1ec1u g\u00ec \u0111\u1eb7c bi\u1ec7t \u1edf ch\u00fang hay kh\u00f4ng? \u0110\u00f3 ch\u00ednh l\u00e0 2 s\u1ed1 ch\u00eanh nhau 5 \u0111\u01a1n v\u1ecb, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng m\u1eb9o n\u00e0y \u0111\u1ec3 nh\u1edb nh\u1eefng c\u1eb7p s\u1ed1 b\u00f3ng v\u00e0 k\u00e9p l\u1ec7ch d\u1ec5 d\u00e0ng h\u01a1n.<\/p>\n
<\/p>\n
V\u1edbi nh\u1eefng ai ch\u01a1i l\u00f4 \u0111\u1ec1 l\u00e2u n\u0103m \u1eaft h\u1eb3n s\u1ebd bi\u1ebft k\u00e9p b\u1eb1ng l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m \u0111\u00e3 c\u00f3 t\u1eeb r\u1ea5t l\u00e2u v\u00e0 hi\u1ec7n t\u1ea1i v\u1eabn \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng kh\u00e1 ph\u1ed5 bi\u1ebfn. C\u00f3 l\u1ebd ch\u00ednh c\u00e1i t\u00ean k\u00e9p b\u1eb1ng c\u0169ng \u0111\u00e3 n\u00f3i l\u00ean ph\u1ea7n n\u00e0o kh\u00e1i ni\u1ec7m c\u1ee7a n\u00f3, \u0111\u00e2y l\u00e0 t\u1eadp h\u1ee3p c\u1ee7a 2 ch\u1eef s\u1ed1 gi\u1ed1ng nhau. Trong 100 s\u1ed1 \u0111\u1ec1 ch\u00fang ta s\u1ebd c\u00f3 10 s\u1ed1 k\u00e9p b\u1eb1ng \u0111\u00f3 l\u00e0: 00, 11, 22, 33, 44, 55, 66, 77, 88, 99.<\/p>\n
V\u1eady n\u1ebfu \u0111\u1ec1 v\u1ec1 k\u00e9p b\u1eb1ng th\u00ec ng\u00e0y h\u00f4m sau n\u00ean \u0111\u00e1nh con g\u00ec s\u1ebd c\u00f3 t\u1ef7 l\u1ec7 tr\u00fang cao nh\u1ea5t? Theo kinh nghi\u1ec7m c\u1ee7a c\u00e1c cao th\u1ee7 ch\u01a1i l\u00f4 \u0111\u1ec1 th\u00ec b\u1ea1n c\u00f3 th\u1ec3 \u00f4m \u0111\u00e1nh nh\u1eefng con l\u00f4 sau ho\u1eb7c nu\u00f4i ch\u00fang kho\u1ea3ng 3 \u2013 5 ng\u00e0y s\u1ebd c\u00f3 k\u1ebft qu\u1ea3 t\u1ed1t nh\u1ea5t:<\/p>\n
00 03, 52, 60, 87<\/p>\n
11 0, 18, 86, 29<\/p>\n
22 45, 48, 54<\/p>\n
33 07, 23, 32, 70<\/p>\n
44 38, 73, 89, 98<\/p>\n
55 02, 20, 48, 84<\/p>\n
66 19, 34, 43, 91<\/p>\n
77 37, 57, 73, 75<\/p>\n
88 04, 40, 57, 75<\/p>\n
99 02, 05, 20, 50<\/p>\n
\u0110\u1ec1 s\u00e1t k\u00e9p \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 nh\u1eefng s\u1ed1 li\u1ec1n tr\u00ean ho\u1eb7c li\u1ec1n d\u01b0\u1edbi v\u1edbi \u0111\u1ec1 k\u00e9p, hi\u1ec3u \u0111\u01a1n gi\u1ea3n \u0111\u00e2y l\u00e0 nh\u1eefng s\u1ed1 k\u00e9p c\u1ed9ng m\u1ed9t \u0111\u01a1n v\u1ecb ho\u1eb7c tr\u1eeb m\u1ed9t \u0111\u01a1n v\u1ecb. Do ch\u00fang d\u1ef1a tr\u00ean b\u1ed9 k\u00e9p (k\u00e9p l\u1ec7ch v\u00e0 k\u00e9p b\u1eb1ng) v\u00ec th\u1ebf m\u00e0 ch\u00fang ta s\u1ebd c\u00f3 2 lo\u1ea1i \u0111\u1ec1 s\u00e1t k\u00e9p (s\u00e1t k\u00e9p l\u1ec7ch v\u00e0 s\u00e1t k\u00e9p b\u1eb1ng).<\/p>\n
Trong b\u1ed9 s\u00e1t l\u1ec7ch b\u1ea1n nh\u1eadn th\u1ea5y c\u00f3 20 con s\u1ed1 kh\u00e1c nhau n\u1eb1m li\u1ec1n k\u1ec1 nhau th\u00ec 20 con s\u1ed1 \u0111\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 b\u1ed9 s\u00e1t k\u00e9p l\u1ec7ch. Tr\u1ea3i qua nhi\u1ec1u n\u0103m th\u00ec nh\u1eefng b\u1ed9 s\u1ed1 n\u00e0y c\u0169ng \u0111\u01b0\u1ee3c c\u1ea3i ti\u1ebfn v\u1edbi nh\u1eefng kh\u00e1i ni\u1ec7m m\u1edbi v\u1ec1 b\u00f3ng \u00e2m, k\u00e9p \u00e2m, v\u00ec v\u1eady b\u1ea1n n\u00ean t\u00ecm hi\u1ec3u k\u1ef9 \u0111\u1ec3 n\u1eafm \u0111\u01b0\u1ee3c nh\u1eefng th\u00f4ng tin quan tr\u1ecdng.<\/p>\n
Trong b\u1ed9 k\u00e9p b\u1eb1ng c\u00f3 20 con s\u1ed1 kh\u00e1c nhau n\u1eb1m li\u1ec1n k\u1ec1 v\u1edbi \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 b\u1ed9 s\u00e1t k\u00e9p b\u1eb1ng. T\u00f9y t\u1eebng n\u01a1i s\u1ebd c\u00f3 m\u1ed9t s\u1ed1 quy \u0111\u1ecbnh ri\u00eang v\u1ec1 vi\u1ec7c t\u00ednh s\u1ed1 k\u00e9p b\u1eb1ng, v\u00ec v\u1eady khi ch\u01a1i b\u1ea1n n\u00ean n\u1eafm r\u00f5 quy \u0111\u1ecbnh \u0111\u1ec3 c\u00f3 c\u00e1ch ch\u01a1i hi\u1ec7u qu\u1ea3.C\u1ee5 th\u1ec3 t\u1eebng s\u1ed1 trong b\u1ed9 s\u00e1t k\u00e9p s\u1ebd \u0111\u01b0\u1ee3c t\u1ed5ng h\u1ee3p t\u1ea1i b\u1ea3ng sau:<\/p>\n
<\/p>\n
01, 10 04, 06<\/p>\n
12, 21 49, 51<\/p>\n
23, 32 15, 17<\/p>\n
34, 43 60, 62<\/p>\n
45, 54 26, 28<\/p>\n
56, 65 71, 73<\/p>\n
67, 76 37, 39<\/p>\n
78, 87 82, 84<\/p>\n
89, 98 48, 50<\/p>\n
90, 09 53, 59<\/p>\n
\u0110\u1ec3 hi\u1ec3u \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a \u201ck\u00e9p \u00e2m\u201d th\u00ec b\u1ea1n c\u1ea7n ph\u1ea3i hi\u1ec3u v\u1ec1 kh\u00e1i ni\u1ec7m \u201cb\u00f3ng \u00e2m\u201d. \u0110\u1ed1i v\u1edbi nhi\u1ec1u ng\u01b0\u1eddi c\u00f3 th\u00e2m ni\u00ean trong l\u0129nh v\u1ef1c l\u00f4 \u0111\u1ec1 h\u1ecd s\u1ebd \u0111\u1ecbnh ngh\u0129a 2 b\u1ed9 s\u1ed1 b\u00f3ng \u00e2m d\u1ef1a v\u00e0o thuy\u1ebft Ng\u0169 h\u00e0nh \u2013 \u00c2m d\u01b0\u01a1ng, t\u1eeb \u0111\u00f3 cho ra c\u00e1c c\u1eb7p b\u00f3ng \u00e2m: s\u1ed1 0 v\u00e0 s\u1ed1 7; s\u1ed1 1 v\u00e0 s\u1ed1 4; s\u1ed1 2 v\u00e0 s\u1ed1 9; s\u1ed1 3 v\u00e0 s\u1ed1 6; s\u1ed1 5 v\u00e0 s\u1ed1 8<\/p>\n
C\u0103n c\u1ee9 v\u00e0o c\u00e1c s\u1ed1 b\u00f3ng \u00e2m, n\u1ebfu c\u00f3 1 ch\u1eef s\u1ed1 gi\u1ed1ng nhau hay 2 s\u1ed1 l\u00e0 b\u00f3ng c\u1ee7a nhau th\u00ec ch\u00fang l\u00e0 b\u00f3ng \u00e2m c\u1ee7a nhau.<\/p>\n
V\u00ed d\u1ee5: s\u1ed1 01 v\u00e0 04 \u0111\u1ec1u c\u00f3 s\u1ed1 0 tr\u00f9ng nhau, \u0111\u1ed3ng th\u1eddi s\u1ed1 1 v\u00e0 s\u1ed1 4 l\u00e0 b\u00f3ng c\u1ee7a nhau n\u00ean c\u1eafp s\u1ed1 01 v\u00e0 04 l\u00e0 b\u00f3ng \u00e2m c\u1ee7a nhau<\/p>\n
S\u1ed1 32 v\u00e0 96 c\u00f3 s\u1ed1 2 l\u00e0 b\u00f3ng \u00e2m c\u1ee7a s\u1ed1 9 v\u00e0 s\u1ed1 3 l\u00e0 b\u00f3ng \u00e2m c\u1ee7a s\u1ed1 6, suy ra s\u1ed1 32 v\u00e0 96 l\u00e0 b\u00f3ng \u00e2m c\u1ee7a nhau.<\/p>\n
Tr\u00ean \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 kh\u00e1i ni\u1ec7m v\u1ec1 k\u00e9p l\u1ec7ch, k\u00e9p b\u1eb1ng, k\u00e9p \u00e2m, hy v\u1ecdng admin chia s\u1ebb cho b\u1ea1n \u0111\u00e3 n\u1eafm r\u00f5 nh\u1eefng th\u00f4ng tin trong b\u00e0i vi\u1ebft. Ch\u00fac b\u1ea1n lu\u00f4n g\u1eb7p nhi\u1ec1u may m\u1eafn v\u00e0 c\u00f3 c\u00e1ch<\/p>\n
\u0110\u1ed1i v\u1edbi nh\u1eefng cao th\u1ee7 trong l\u0129nh v\u1ef1c l\u00f4 \u0111\u1ec1 th\u00ec k\u00e9p l\u1ec7ch, k\u00e9p b\u1eb1ng, k\u00e9p \u00e2m l\u00e0 nh\u1eefng kh\u00e1i ni\u1ec7m kh\u00f4ng c\u00f2n qu\u00e1 xa l\u1ea1. Th\u1ebf nh\u01b0ng v\u1edbi nh\u1eefng ng\u01b0\u1eddi m\u1edbi th\u00ec kh\u00f4ng ph\u1ea3i ai c\u0169ng hi\u1ec3u r\u00f5 v\u1ec1 Continue reading Ki\u1ebfn th\u1ee9c \u0111\u1ea7y \u0111\u1ee7 v\u1ec1 l\u00f4 \u0111\u1ec1 k\u00e9p l\u1ec7ch, k\u00e9p b\u1eb1ng v\u00e0 k\u00e9p \u00e2m<\/span>