{"id":1635,"date":"2022-10-13T06:56:43","date_gmt":"2022-10-12T23:56:43","guid":{"rendered":"https:\/\/workingin.cloud\/?p=1635"},"modified":"2024-04-12T02:03:34","modified_gmt":"2024-04-11T19:03:34","slug":"toan-to-hop","status":"publish","type":"post","link":"https:\/\/123.guong.com.vn\/?p=1635","title":{"rendered":"To\u00e1n t\u1ed5 h\u1ee3p"},"content":{"rendered":"\r\n<p><strong>7.19.<\/strong> <strong>C\u00f3 bao nhi\u00eau \u0111\u01b0\u1eddng ch\u00e9o trong 1 h\u00ecnh \u0111a gi\u00e1c \u0111\u1ec1u 7 c\u1ea1nh<\/strong><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-1667\" src=\"\/wp-content\/uploads\/2022\/10\/da-giac-deu-7-canh.jpg\" alt=\"\" width=\"123\" height=\"121\" srcset=\"https:\/\/123.guong.com.vn\/wp-content\/uploads\/2022\/10\/da-giac-deu-7-canh.jpg 316w, https:\/\/123.guong.com.vn\/wp-content\/uploads\/2022\/10\/da-giac-deu-7-canh-300x296.jpg 300w\" sizes=\"(max-width: 123px) 100vw, 123px\" \/><\/p>\r\n<p>M\u1ed7i \u0111\u01b0\u1eddng ch\u00e9o \u0111i qua 2 \u0111\u1ec9nh, c\u00f3 7 \u0111\u1ec9nh t\u1ea5t c\u1ea3, ta c\u00f3:<\/p>\r\n<p>T\u1ed5 h\u1ee3p C<sup>2<\/sup><sub>7<\/sub> = 5! : (5 &#8211; 3)!2! = 6 x 7 : 2 = 21<\/p>\r\n<p>V\u00ec c\u00f3 h\u00ecnh c\u00f3 7 c\u1ea1nh b\u00ean n\u00ean s\u1ed1 \u0111\u01b0\u1eddng ch\u00e9o l\u00e0: 21 &#8211; 7 = 14<\/p>\r\n<p><strong>6.<\/strong> <strong>Ph\u01b0\u01a1ng ph\u00e1p x\u00e1c \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng h\u00ecnh vu\u00f4ng (c\u00f3 d\u1ea1ng mxm)<\/strong><\/p>\r\n<p><em>S\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p \u0111\u01b0\u1eddng ch\u00e9o (nh\u00e2n ch\u00e9o)<\/em><\/p>\r\n<p><span style=\"color: #ff6600;\">C\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t: 1<sup>2<\/sup> + 2<sup>2<\/sup> + 3<sup>2<\/sup> + 4<sup>2<\/sup> + 5<sup>2<\/sup> + &#8230; + n<sup>2<\/sup><\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1663\" src=\"\/wp-content\/uploads\/2022\/10\/hvmxm_1.jpg\" alt=\"\" width=\"236\" height=\"194\" \/><\/p>\r\n<p>4 x 4 = 16<\/p>\r\n<p>3 x 3 = 9<\/p>\r\n<p>2 x 2 = 4<\/p>\r\n<p>1 x 1 = 1<\/p>\r\n<p>T\u1ed5ng s\u1ed1 h\u00ecnh vu\u00f4ng: 16 + 9 + 4 + 1 = 30<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1664\" src=\"\/wp-content\/uploads\/2022\/10\/hvmxm_2.jpg\" alt=\"\" width=\"293\" height=\"235\" \/><\/p>\r\n<p>T\u01b0\u01a1ng t\u1ef1: 1<sup>2<\/sup> + 2<sup>2<\/sup> + 3<sup>2<\/sup> + 4<sup>2<\/sup> + 5<sup>2<\/sup> = 1 + 4 + 9 + 16 + 25 = 55 (HV)<\/p>\r\n<p><strong>5.<\/strong> <strong>Ph\u01b0\u01a1ng ph\u00e1p x\u00e1c \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng h\u00ecnh vu\u00f4ng (c\u00f3 d\u1ea1ng mxn)<\/strong><\/p>\r\n<p><em>S\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p \u0111\u01b0\u1eddng ch\u00e9o (nh\u00e2n ch\u00e9o)<\/em><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1651\" src=\"\/wp-content\/uploads\/2022\/10\/hv_1.jpg\" alt=\"\" width=\"237\" height=\"149\" \/><\/p>\r\n<p>4 x 3 = 12<\/p>\r\n<p>3 x 2 = 6<\/p>\r\n<p>2 x 1 = 2<\/p>\r\n<p>T\u1ed5ng s\u1ed1 h\u00ecnh vu\u00f4ng (HV) l\u00e0: 12 + 6 + 2 = 20<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1652\" src=\"\/wp-content\/uploads\/2022\/10\/hv_2.jpg\" alt=\"\" width=\"348\" height=\"191\" srcset=\"https:\/\/123.guong.com.vn\/wp-content\/uploads\/2022\/10\/hv_2.jpg 348w, https:\/\/123.guong.com.vn\/wp-content\/uploads\/2022\/10\/hv_2-300x165.jpg 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><\/p>\r\n<p>6 x 4 = 24<\/p>\r\n<p>5 x 3 = 15<\/p>\r\n<p>4 x 2 = 8<\/p>\r\n<p>3 x 1 = 3<\/p>\r\n<p>=&gt; 24 + 15 + 8 + 3 = 50 (HV)<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1659\" src=\"\/wp-content\/uploads\/2022\/10\/hv_3.jpg\" alt=\"\" width=\"180\" height=\"102\" \/><\/p>\r\n<p>3 x 2 = 6<\/p>\r\n<p>2 x 1 = 2<\/p>\r\n<p>T\u1ed5ng s\u1ed1 h\u00ecnh vu\u00f4ng: 6 + 2 = 8<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1660\" src=\"\/wp-content\/uploads\/2022\/10\/hv_4.jpg\" alt=\"\" width=\"291\" height=\"101\" \/><\/p>\r\n<p>5 x 2 = 10<\/p>\r\n<p>4 x 1 = 4<\/p>\r\n<p>T\u1ed5ng s\u1ed1 h\u00ecnh vu\u00f4ng: 10 + 4 = 14<\/p>\r\n<p><strong>4.<\/strong> <strong>Ph\u01b0\u01a1ng ph\u00e1p x\u00e1c \u0111\u1ecbnh s\u1ed1 l\u01b0\u1ee3ng h\u00ecnh ch\u1eef nh\u1eadt<\/strong><\/p>\r\n<ul>\r\n<li>H\u00ecnh ch\u1eef nh\u1eadt d\u1ea1ng \u0111\u01a1n gi\u1ea3n<\/li>\r\n<\/ul>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1644\" src=\"\/wp-content\/uploads\/2022\/10\/hcn1.jpg\" alt=\"\" width=\"248\" height=\"116\" \/><\/p>\r\n<p>C = 1 + 2 = 3<\/p>\r\n<p>R = 1 + 2 = 3<\/p>\r\n<p>C x R = 3 x 3 = 9 h\u00ecnh ch\u1eef nh\u1eadt (HCN)<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1648\" src=\"\/wp-content\/uploads\/2022\/10\/hcn2.jpg\" alt=\"\" width=\"353\" height=\"194\" srcset=\"https:\/\/123.guong.com.vn\/wp-content\/uploads\/2022\/10\/hcn2.jpg 353w, https:\/\/123.guong.com.vn\/wp-content\/uploads\/2022\/10\/hcn2-300x165.jpg 300w\" sizes=\"(max-width: 353px) 100vw, 353px\" \/><\/p>\r\n<p>C = 1 + 2 + 3 = 6<\/p>\r\n<p>R = 1 + 2 + 3 + 4 = 10<\/p>\r\n<p>C x R = 6 x 10 = 60 (HCN)<\/p>\r\n<p><strong>3.19.<\/strong> <strong>C\u00f3 bao nhi\u00eau s\u1ed1 ch\u1eb5n c\u00f3 3 ch\u1eef s\u1ed1 m\u00e0 t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 l\u00e0 7?<\/strong><\/p>\r\n<p>C\u00e1ch gi\u1ea3i:<\/p>\r\n<p>Ta c\u00f3, c\u00e1c b\u1ed9 s\u1ed1 c\u00f3 t\u1ed5ng b\u1eb1ng 7:<\/p>\r\n<p>(7,0,0) c\u00f3 700<\/p>\r\n<p>(6,1,0) c\u00f3 610, 160, 106<\/p>\r\n<p>(5,2,0) c\u00f3 520, 250, 502<\/p>\r\n<p>(4,3,0) c\u00f3 430, 340, 304<\/p>\r\n<p>(4,2,1) c\u00f3 412, 214, 124, 142<\/p>\r\n<p>(3,2,2) c\u00f3 322, 232<\/p>\r\n<p>C\u00f3 16 s\u1ed1 t\u1ea5t c\u1ea3<\/p>\r\n<p><strong>2.19.<\/strong> <strong>C\u00f3 2 quy\u1ec3n s\u00e1ch Ti\u1ebfng Vi\u1ec7t kh\u00e1c nhau, 1 quy\u1ec3n \u00c2m nh\u1ea1c, 1 quy\u1ec3n To\u00e1n tr\u00ean k\u1ec7 s\u00e1ch. H\u1ecfi c\u00f3 bao nhi\u00eau c\u00e1ch s\u1eafp x\u1ebfp s\u1ed1 s\u00e1ch \u0111\u00f3 t\u1eeb tr\u00e1i qua ph\u1ea3i sao cho 2 quy\u1ec3n s\u00e1ch Ti\u1ebfng Vi\u1ec7t ph\u1ea3i \u1edf c\u1ea1nh nhau?<\/strong><\/p>\r\n<p>C\u00e1ch gi\u1ea3i:<\/p>\r\n<p>Ta coi 2 cu\u1ed1n Ti\u1ebfng Vi\u1ec7t l\u00e0 1, nh\u01b0 th\u1ebf c\u00f3 3 v\u1ecb tr\u00ed ho\u00e1n \u0111\u1ed5i cho nhau: 1 x 2 x 3 = 6<\/p>\r\n<p>V\u00ec 2 cu\u1ed1n Ti\u1ebfng Vi\u1ec7t kh\u00e1c nhau, n\u00ean m\u1ed7i v\u1ecb tr\u00ed l\u1ea1i c\u00f3 2 c\u00e1c s\u1eafp x\u1ebfp cu\u1ed1n Ti\u1ebfng Vi\u1ec7t.<\/p>\r\n<p>V\u1eady c\u00f3 t\u1ea5t c\u1ea3: 6 x 2 = 12 c\u00e1ch s\u1eafp x\u1ebfp.<\/p>\r\n<p><strong>1.19.<\/strong> <strong>Chi\u1ebfc h\u1ed9p c\u00f3 100 vi\u00ean bi: \u0111\u1ecf, xanh, v\u00e0ng. Trong \u0111\u00f3 c\u00f3 10 vi\u00ean bi \u0111\u1ecf, 56 vi\u00ean bi xanh. H\u1ecfi c\u1ea7n l\u1ea5y ra ng\u1eabu nhi\u00ean \u00edt nh\u1ea5t bao nhi\u00eau vi\u00ean bi \u0111\u1ec3 ch\u1eafc ch\u1eafn r\u1eb1ng ta l\u1ea5y \u0111\u01b0\u1ee3c 2 vi\u00ean bi kh\u00e1c m\u00e0u?<\/strong><\/p>\r\n<p>C\u00e1ch gi\u1ea3i:<\/p>\r\n<p>S\u1ed1 vi\u00ean bi v\u00e0ng l\u00e0: 100 &#8211; 10 &#8211; 56 = 34<\/p>\r\n<p>Tr\u01b0\u1eddng h\u1ee3p x\u1ea5u nh\u1ea5t l\u00e0 l\u1ea5y 56 vi\u00ean bi xanh =&gt; Ph\u1ea3i l\u1ea5y \u00edt nh\u1ea5t 56 + 1 = 57 vi\u00ean bi.<\/p>\r\n\r\n\r\n\r\n\r\n","protected":false},"excerpt":{"rendered":"<p>7.19. C\u00f3 bao nhi\u00eau \u0111\u01b0\u1eddng ch\u00e9o trong 1 h\u00ecnh \u0111a gi\u00e1c \u0111\u1ec1u 7 c\u1ea1nh M\u1ed7i \u0111\u01b0\u1eddng ch\u00e9o \u0111i qua 2 \u0111\u1ec9nh, c\u00f3 7 \u0111\u1ec9nh t\u1ea5t c\u1ea3, ta c\u00f3: T\u1ed5 h\u1ee3p C27 = 5! : (5 &#8211; 3)!2! = 6 x 7 : 2 = 21 V\u00ec c\u00f3 h\u00ecnh c\u00f3 7 c\u1ea1nh b\u00ean n\u00ean s\u1ed1 \u0111\u01b0\u1eddng [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"pgc_sgb_lightbox_settings":"","footnotes":""},"categories":[113],"tags":[],"series":[],"blocksy_meta":{"styles_descriptor":{"styles":{"desktop":"","tablet":"","mobile":""},"google_fonts":[],"version":6}},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v18.1 (Yoast SEO v22.4) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>To\u00e1n t\u1ed5 h\u1ee3p<\/title>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"To\u00e1n t\u1ed5 h\u1ee3p\" \/>\n<meta property=\"og:description\" content=\"7.19. 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