{"id":17792,"date":"2024-03-18T07:51:13","date_gmt":"2024-03-18T07:51:13","guid":{"rendered":"https:\/\/soicau5079.minhngocxoso.com\/?p=17792"},"modified":"2024-03-18T07:51:13","modified_gmt":"2024-03-18T07:51:13","slug":"phuong-phap-tam-giac-pascal-trong-lo-de","status":"publish","type":"post","link":"https:\/\/xosotructiep88.com\/phuong-phap-tam-giac-pascal-trong-lo-de\/","title":{"rendered":"ph\u01b0\u01a1ng ph\u00e1p tam gi\u00e1c pascal trong l\u00f4 \u0111\u1ec1"},"content":{"rendered":"

<\/p>\n\n\n

N\u1ebfu b\u1ea1n t\u1eebng nghe \u0111\u1ebfn hay t\u1eebng t\u00ecm hi\u1ec3u v\u1ec1 Tam gi\u00e1c Pascal th\u00ec b\u1ea1n s\u1ebd kh\u00f4ng b\u1ea5t ng\u1edd v\u1ec1 vi\u1ec7c c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng n\u00f3 v\u00e0o t\u00ednh to\u00e1n l\u00f4 \u0111\u1ec1. V\u1eady th\u00ec c\u00f9ng tim hi\u1ec3u v\u1ec1 c\u00e1ch soi b\u1ea1ch th\u1ee7 l\u00f4 b\u1eb1ng Tam gi\u00e1c Pascal chi ti\u1ebft v\u00e0 ch\u00ednh x\u00e1c nh\u1ea5t c\u00f9ng h\u00f4m nay.<\/p>\n\n\n\n

Tam gi\u00e1c Pascal l\u00e0 g\u00ec?<\/h3>\n\n\n\n

Trong to\u00e1n h\u1ecdc th\u00ec Tam gi\u00e1c Pascal l\u00e0 m\u1ed9t m\u1ea3ng tam gi\u00e1c c\u1ee7a c\u00e1c s\u1ed1 nh\u1ecb th\u1ee9c. N\u00f3 \u0111\u01b0\u1ee3c nh\u00e0 to\u00e1n h\u1ecdc Trung Qu\u1ed1c th\u1eddi Nam T\u1ed1ng l\u00e0 D\u01b0\u01a1ng Huy nghi\u00ean c\u1ee9u ra t\u1eeb n\u0103m 1261. 600 n\u0103m sau, nh\u00e0 to\u00e1n h\u1ecdc Pascal ti\u1ebfp t\u1ee5c nghi\u00ean c\u1ee9u v\u1ec1 n\u00f3. Hi\u1ec7n nay, c\u00f4ng tr\u00ecnh nghi\u00ean c\u1ee9u n\u00e0y l\u1ea5y t\u00ean c\u1ee7a nh\u00e0 to\u00e1n h\u1ecdc ch\u00e2u \u00c2u, Pascal.<\/p>\n\n\n\n

Ph\u01b0\u01a1ng ph\u00e1p tam gi\u00e1c Pascal trong l\u00f4 \u0111\u1ec1<\/h2>\n\n\n\n

C\u00e1ch t\u00ednh l\u00f4 b\u1ea1ch th\u1ee7 n\u00e0y r\u1ea5t \u0111\u01a1n gi\u1ea3n, tuy nhi\u00ean c\u00f3 h\u01a1i kh\u00e1c so v\u1edbi Tam gi\u00e1c Pascal nguy\u00ean b\u1ea3n. B\u1ea1n ch\u1ec9 c\u1ea7n x\u00e1c \u0111\u1ecbnh 1 d\u00e3y s\u1ed1 \u0111\u1ea7u ti\u00ean \u0111\u1ec3 l\u1ea5y l\u00e0m \u0111\u1ebf th\u00e1p, sau \u0111\u00f3 t\u00ednh t\u1ed5ng 2 s\u1ed1 \u0111\u1ee9ng c\u1ea1nh nhau \u0111\u1ec3 t\u1ea1o n\u00ean d\u00e3y s\u1ed1 ti\u1ebfp theo. C\u1ee9 th\u1ebf t\u1ea1o n\u00ean t\u1eebng t\u1ea7ng c\u1ee7a h\u00ecnh tam gi\u00e1c Pascal. Thay v\u00ec t\u00ednh t\u1ed5ng t\u1eeb tr\u00ean xu\u1ed1ng nh\u01b0 Pascal th\u00f4ng th\u01b0\u1eddng th\u00ec ta t\u00ednh t\u1ed5ng t\u1eeb d\u01b0\u1edbi l\u00ean.<\/p>\n\n\n

\"\"<\/p>\n\n\n

\u0110\u00e2y l\u00e0 m\u1ed9t kinh nghi\u1ec7m soi c\u1ea7u mb<\/strong> r\u1ea5t hay \u0111\u1ec3 b\u1ea1n \u00e1p d\u1ee5ng.<\/h5>\n\n\n\n

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

K\u1ebft qu\u1ea3 x\u1ed5 s\u1ed1 mi\u1ec1n B\u1eafc ng\u00e0y th\u1ee9 2, 29\/7\/2024 ra nh\u01b0 sau:<\/p>\n\n\n\n

L\u1ea5y gi\u1ea3i \u0110\u1eb7c bi\u1ec7t v\u00e0 gi\u1ea3i Nh\u1ea5t t\u1ea1o th\u00e0nh 1 d\u00e0n \u0111\u1ebf, b\u1eaft \u0111\u1ea7u t\u00ednh t\u1ed5ng t\u1eebng c\u1eb7p \u0111\u1ec3 x\u00e2y d\u1ef1ng tam gi\u00e1c:<\/p>\n\n\n\n

Con s\u1ed1 cu\u1ed1i c\u00f9ng (\u0111\u1ec9nh tam gi\u00e1c) s\u1ebd \u0111\u01b0\u1ee3c coi l\u00e0 b\u1ea1ch th\u1ee7 l\u00f4<\/strong>. \u0110\u00f3 l\u00e0 con s\u1ed1 32.<\/p>\n\n\n\n

>> K\u1ebft qu\u1ea3 x\u1ed5 s\u1ed1 mi\u1ec1n B\u1eafc ng\u00e0y th\u1ee9 3, 30\/7\/2024:<\/p>\n\n\n\n

Nh\u01b0 v\u1eady, ph\u01b0\u01a1ng ph\u00e1p soi c\u1ea7u theo Tam gi\u00e1c Pascal \u0111\u00e3 cho ra k\u1ebft qu\u1ea3 ch\u00ednh x\u00e1c. D\u1eabu v\u1eady, ph\u01b0\u01a1ng ph\u00e1p n\u00e0y kh\u00f4ng ph\u1ea3i l\u00fac n\u00e0o c\u0169ng cho b\u1ea1n \u0111\u00e1p \u00e1n nh\u01b0 k\u1ef3 v\u1ecdng. Do \u0111\u00f3 b\u1ea1n c\u1ea7n x\u00e1c nh\u1eadn th\u00eam b\u1eb1ng nhi\u1ec1u ph\u01b0\u01a1ng ph\u00e1p b\u1eaft c\u1ea7u l\u00f4 kh\u00e1c nh\u01b0 Soi c\u1ea7u l\u00f4 c\u00e2m, \u0111\u00e1nh \u0111\u1ec1 ch\u1ea1m\u2026 Ch\u00fac may m\u1eafn!<\/p>\n\n\n

<\/p>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P B\u1ea0CH TH\u1ee6 L\u00d4 MI\u1ec0N B\u1eaeC<\/span><\/a><\/span><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P B\u1ea0CH TH\u1ee6 \u0110\u1ec0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P SONG TH\u1ee6 L\u00d4 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P SONG TH\u1ee6 \u0110\u1ec0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 B\u1ea0CH TH\u1ee6 L\u00d4 K\u00c9P MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P D\u00c0N \u0110\u1ec0 4 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 SONG TH\u1ee6 L\u00d4 K\u00c9P MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P D\u00c0N L\u00d4 4 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 B\u1ea0CH TH\u1ee6 L\u00d4 2 NH\u00c1Y MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P D\u00c0N \u0110\u1ec0 6 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P D\u00c0N \u0110\u1ec0 8 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P D\u00c0N \u0110\u1ec0 10 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

\"\"C\u1ea6U \u0110\u1eb8P MI\u1ec0N B\u1eaeC<\/span><\/strong><\/h4>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P D\u00c0N L\u00d4 6 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/span><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P 3 C\u00c0NG MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P D\u00c0N L\u00d4 8 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 D\u00c0N 3 C\u00c0NG 2 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 D\u00c0N L\u00d4 XI\u00caN 2 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P D\u00c0N L\u00d4 10 S\u1ed0 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 D\u00c0N L\u00d4 XI\u00caN 3 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P \u0110\u1ec0 \u0110\u1ea6U \u0110U\u00d4I MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 D\u00c0N L\u00d4 XI\u00caN 4 MI\u1ec0N B\u1eaeC<\/span><\/a><\/strong><\/span><\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

<\/h4>\r\n

\"\"C\u1ea6U \u0110\u1eb8P MI\u1ec0N NAM<\/span><\/strong><\/h4>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P X\u1ec9u Ch\u1ee7 MI\u1ec0N NAM<\/a><\/span><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P SONG TH\u1ee6 L\u00d4 MI\u1ec0N NAM<\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 GI\u1ea2I \u0110\u1eb6C BI\u1ec6T MI\u1ec0N NAM<\/a><\/strong><\/span><\/td>\r\n\"\"<\/strong>CH\u1ed0T S\u1ed0 \u0110\u1ea6U \u0110U\u00d4I GI\u1ea2I 8 MI\u1ec0N NAM<\/strong><\/a><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P GI\u1ea2I 8 MI\u1ec0N NAM<\/a><\/strong><\/span><\/td>\r\n\"\"<\/strong>CH\u1ed0T S\u1ed0 \u0110\u1ea6U \u0110U\u00d4I \u0110\u1eb6C BI\u1ec6T MI\u1ec0N NAM<\/strong><\/a><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P BAO L\u00d4 MI\u1ec0N NAM<\/a><\/strong><\/span><\/td>\r\n\"\"<\/strong>CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P L\u00d4 3 S\u1ed0 MI\u1ec0N NAM<\/strong><\/a><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P C\u1eb7p X\u1ec9u Ch\u1ee7 MI\u1ec0N NAM<\/a><\/strong><\/span><\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

\"\"C\u1ea6U \u0110\u1eb8P MI\u1ec0N TRUNG<\/span><\/strong><\/h4>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P X\u1ec9u Ch\u1ee7 MI\u1ec0N TRUNG<\/span><\/a><\/span><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SONG TH\u1ee6 L\u00d4 MI\u1ec0N TRUNG<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 GI\u1ea2I \u0110\u1eb6C BI\u1ec6T MI\u1ec0N TRUNG<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 \u0110\u1ea6U \u0110U\u00d4I GI\u1ea2I 8 MI\u1ec0N TRUNG<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 TO SI\u00caU C\u1ea4P GI\u1ea2I 8 MI\u1ec0N TRUNG<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 \u0110\u1ea6U \u0110U\u00d4I \u0110\u1eb6C BI\u1ec6T MI\u1ec0N TRUNG<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P BAO L\u00d4 MI\u1ec0N TRUNG<\/span><\/a><\/strong><\/span><\/td>\r\n\"\"CH\u1ed0T S\u1ed0 SI\u00caU C\u1ea4P L\u00d4 3 S\u1ed0 MI\u1ec0N TRUNG<\/span><\/a><\/strong><\/span><\/td>\r\n<\/tr>\r\n
\"\"CH\u1ed0T S\u1ed0 C\u1eb7p X\u1ec9u Ch\u1ee7 MI\u1ec0N TRUNG<\/span><\/a><\/strong><\/span><\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n","protected":false},"excerpt":{"rendered":"

N\u1ebfu b\u1ea1n t\u1eebng nghe \u0111\u1ebfn hay t\u1eebng t\u00ecm hi\u1ec3u v\u1ec1 Tam gi\u00e1c Pascal th\u00ec b\u1ea1n s\u1ebd kh\u00f4ng b\u1ea5t ng\u1edd v\u1ec1 vi\u1ec7c c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng n\u00f3 v\u00e0o t\u00ednh to\u00e1n l\u00f4 \u0111\u1ec1. V\u1eady th\u00ec c\u00f9ng tim hi\u1ec3u v\u1ec1 c\u00e1ch soi b\u1ea1ch th\u1ee7 l\u00f4 b\u1eb1ng Tam gi\u00e1c Pascal chi ti\u1ebft v\u00e0 ch\u00ednh x\u00e1c nh\u1ea5t c\u00f9ng h\u00f4m nay. 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