{"id":1091,"date":"2021-10-08T13:12:51","date_gmt":"2021-10-08T13:12:51","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=1091"},"modified":"2021-10-14T22:11:31","modified_gmt":"2021-10-14T15:11:31","slug":"chia-don-thuc-cho-don-thuc-hoc-tot-toan-8-cung-toppy","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/chia-don-thuc-cho-don-thuc-hoc-tot-toan-8-cung-toppy\/","title":{"rendered":"Chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c \u2013 H\u1ecdc t\u1ed1t to\u00e1n 8"},"content":{"rendered":"\n<script type=\"text\/javascript\">\nimg_numb = 10;\n<\/script>\n\n\n\n<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c - B\u00e0i 10 - To\u00e1n h\u1ecdc 8 - C\u00f4 Ph\u1ea1m Th\u1ecb Hu\u1ec7 Chi (D\u1ec4 HI\u1ec2U NH\u1ea4T)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/jLr7j0jYUFE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption>Chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c &#8211; B\u00e0i 10 &#8211; To\u00e1n h\u1ecdc 8<\/figcaption><\/figure>\n\n\n\n<p>M\u1ed9t trong nh\u1eefng n\u1ed9i dung quan tr\u1ecdng trong <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n<\/a> h\u1ecdc l\u1edbp 8 m\u00e0 c\u00e1c em ph\u1ea3i tr\u1ea3i qua ch\u00ednh l\u00e0 chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c. Vietlearn s\u1ebd c\u00f9ng c\u00e1c em \u00f4n l\u1ea1i c\u00e1c ki\u1ebfn th\u1ee9c li\u00ean quan \u0111\u1ebfn l\u00fd thuy\u1ebft v\u00e0 th\u1ef1c h\u00e0nh c\u1ee7a n\u1ed9i dung ki\u1ebfn th\u1ee9c n\u00e0y, bao g\u1ed3m c\u00f4ng th\u1ee9c, quy t\u1eafc, m\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n c\u01a1 b\u1ea3n v\u00e0 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng. H\u00e3y b\u1eaft \u0111\u1ea7u ngay v\u00e0o h\u1ecdc th\u00f4i n\u00e0o!<\/p>\n\n\n\n<p>H\u1ecdc t\u1ed1t c\u00f9ng Vietlearn v\u1edbi b\u00e0i chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c<\/p>\n\n\n\n<p>Kh\u00e1i ni\u1ec7m \u0111\u01a1n th\u1ee9c<\/p>\n\n\n\n<p>Tr\u01b0\u1edbc khi \u0111i v\u00e0o b\u00e0i gi\u1ea3ng chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c, ch\u00fang ta c\u1ea7n t\u00ecm hi\u1ec3u l\u1ea1i \u0111\u01a1n th\u1ee9c l\u00e0 g\u00ec. \u0110\u00e2y l\u00e0 n\u1ed9i dung \u0111\u00e3 \u0111\u01b0\u1ee3c h\u1ecdc trong <a href=\"https:\/\/www.vietlearn.org\" data-internallinksmanager029f6b8e52c=\"2\" title=\"Vietlearn\" rel=\"nofollow\">ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n<\/a> h\u1ecdc l\u1edbp 7.<\/p>\n\n\n\n<p>Kh\u00e1i ni\u1ec7m \u0111\u01a1n th\u1ee9c \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 bi\u1ec3u th\u1ee9c \u0111\u1ea1i s\u1ed1 ch\u1ec9 g\u1ed3m m\u1ed9t s\u1ed1 ho\u1eb7c m\u1ed9t bi\u1ebfn s\u1ed1, ho\u1eb7c m\u1ed9t t\u00edch gi\u1eefa c\u00e1c bi\u1ebfn v\u00e0 c\u00e1c s\u1ed1. Nh\u01b0 v\u1eady, khi nh\u00ecn v\u00e0o kh\u00e1i ni\u1ec7m, ch\u00fang ta \u0111\u00e3 ph\u00e2n bi\u1ec7t \u0111\u01b0\u1ee3c r\u00f5 r\u00e0ng \u0111\u01a1n th\u1ee9c v\u00e0 \u0111a th\u1ee9c. L\u1ea5y v\u00ed d\u1ee5 v\u1ec1 \u0111\u01a1n th\u1ee9c nh\u01b0 3, xy, 3\u00d72\u2026<\/p>\n\n\n\n<p>Kh\u00e1i ni\u1ec7m \u0111\u01a1n th\u1ee9c trong ch\u01b0\u01a1ng tr\u00ecnh \u0110\u1ea1i s\u1ed1<\/p>\n\n\n\n<p>Sau b\u00e0i h\u1ecdc \u0111\u01a1n th\u1ee9c, ch\u00fang ta s\u1ebd \u0111i v\u00e0o m\u1ed9t ph\u1ea7n b\u00e0i h\u1ecdc kh\u00e1c ch\u00ednh l\u00e0 \u0111a th\u1ee9c. \u0110\u00e2y l\u00e0 ti\u1ec1n \u0111\u1ec1 cho b\u00e0i h\u1ecdc ti\u1ebfp theo. V\u00ec th\u1ebf, n\u1ed9i dung ki\u1ebfn th\u1ee9c n\u00e0y c\u00e1c em c\u1ea7n n\u1eafm k\u1ef9 \u0111\u1ec3 v\u1eadn d\u1ee5ng l\u00e0m b\u00e0i t\u1eadp v\u00e0 l\u00e0 n\u1ec1n t\u1ea3ng \u0111\u1ec3 em h\u1ecdc ki\u1ebfn th\u1ee9c cao h\u01a1n nh\u00e9.<\/p>\n\n\n\n<p>Nguy\u00ean t\u1eafc ph\u00e9p chia<\/p>\n\n\n\n<p>Ch\u00fang ta quy \u0111\u1ecbnh v\u1edbi nhau nh\u01b0 sau: Trong \u0111a th\u1ee9c A=B.Q. Trong \u0111\u00f3:<\/p>\n\n\n\n<p>A l\u00e0 \u0111a th\u1ee9c b\u1ecb chia;<\/p>\n\n\n\n<p>B l\u00e0 \u0111a th\u1ee9c chia;<\/p>\n\n\n\n<p>Q l\u00e0 th\u01b0\u01a1ng, k\u1ebft qu\u1ea3 c\u1ee7a vi\u1ec7c chia.<\/p>\n\n\n\n<p>Ta c\u00f3 c\u00f4ng th\u1ee9c sau: Q = A : B =A\/B. C\u00e1c em c\u1ea7n nh\u1edb c\u00f4ng th\u1ee9c n\u00e0y tr\u01b0\u1edbc nh\u00e9.<\/p>\n\n\n\n<p>Ngo\u00e0i vi\u1ec7c chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c nh\u01b0 th\u00f4ng th\u01b0\u1eddng, s\u1ebd c\u00f3 kh\u00e1i ni\u1ec7m chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, mu\u1ed1n chia \u0111a th\u1ee9c A cho \u0111\u01a1n th\u1ee9c B, ta chia m\u1ed7i h\u1ea1ng t\u1eed c\u1ee7a A cho B r\u1ed3i c\u1ed9ng k\u1ebft qu\u1ea3 v\u1edbi nhau.<\/p>\n\n\n\n<p>Quy t\u1eafc chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c<\/p>\n\n\n\n<p>Trong tr\u01b0\u1eddng h\u1ee3p \u0111\u01a1n th\u1ee9c A chia h\u1ebft cho \u0111\u01a1n th\u1ee9c B, ch\u00fang ta s\u1ebd chia h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c A cho h\u1ec7 s\u1ed1 c\u1ee7a \u0111\u01a1n th\u1ee9c B; chia l\u0169y th\u1eeba c\u1ee7a t\u1eebng bi\u1ebfn trong A cho l\u0169y th\u1eeba c\u1ee7a t\u1eebng bi\u1ebfn trong B, sau \u0111\u00f3 nh\u00e2n c\u00e1c k\u1ebft qu\u1ea3 v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c v\u1edbi nhau.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p> Chia \u0111a th\u1ee9c cho \u0111\u01a1n th\u1ee9c<\/p><\/blockquote>\n\n\n\n<p>M\u1ed9t s\u1ed1 d\u1ea1ng to\u00e1n c\u01a1 b\u1ea3n<\/p>\n\n\n\n<p>D\u1ea1ng 1: Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh v\u00e0 r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c<\/p>\n\n\n\n<p>\u0110\u00e2y l\u00e0 d\u1ea1ng \u0111\u1ea7u ti\u00ean trong chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c l\u1edbp 8. D\u1ea1ng n\u00e0y l\u00e0 d\u1ea1ng c\u01a1 b\u1ea3n, b\u1edfi c\u00e1c em ch\u1ec9 c\u1ea7n s\u1eed d\u1ee5ng quy t\u1eafc \u0111\u1ec3 l\u00e0m ph\u00e9p t\u00ednh v\u00e0 r\u00fat g\u1ecdn bi\u1ec3u th\u1ee9c m\u00e0 th\u00f4i. So v\u1edbi c\u00e1c d\u1ea1ng b\u00e0i kh\u00e1c th\u00ec b\u00e0i n\u00e0y d\u1ec5 d\u00e0ng th\u1ef1c hi\u1ec7n v\u00e0 \u0111\u01b0\u1ee3c \u0111a ph\u1ea7n c\u00e1c em l\u00e0m ch\u00ednh x\u00e1c.<\/p>\n\n\n\n<p>L\u1ea5y v\u00ed d\u1ee5 b\u00e0i to\u00e1n sau:<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 v\u1ec1 c\u00e1ch gi\u1ea3i theo d\u1ea1ng 1<\/p>\n\n\n\n<p>V\u1edbi ph\u00e9p t\u00ednh n\u00e0y, c\u00e1c em ch\u1ec9 c\u1ea7n th\u1ef1c hi\u1ec7n 3 thao t\u00e1c l\u00e0 \u0111\u00e3 cho ra \u0111\u01b0\u1ee3c k\u1ebft qu\u1ea3 ch\u00ednh x\u00e1c. V\u00e0 c\u0169ng ch\u1ec9 c\u1ea7n th\u1ef1c hi\u1ec7n \u0111\u00fang theo quy t\u1eafc l\u00e0 \u0111\u01b0\u1ee3c.<\/p>\n\n\n\n<p>D\u1ea1ng 2: T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c t\u1ea1i x=xo<\/p>\n\n\n\n<p>V\u1edbi b\u00e0i to\u00e1n n\u00e0y, c\u00e1c em c\u1ea7n th\u1eddi gian h\u01a1n \u0111\u1ec3 th\u1ef1c hi\u1ec7n c\u0169ng nh\u01b0 c\u1ea7n t\u00ednh to\u00e1n k\u1ef9 c\u00e0ng h\u01a1n. Khi g\u1eb7p b\u00e0i to\u00e1n nh\u01b0 th\u1ebf n\u00e0y, c\u00e1c em ch\u1ec9 c\u1ea7n thay x=xo v\u00e0o bi\u1ec3u th\u1ee9c th\u1ee9c ti\u1ebfp t\u1ee5c ph\u00e9p t\u00ednh nh\u01b0 th\u00f4ng th\u01b0\u1eddng. Trong m\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p, c\u00e1c em s\u1ebd g\u1eb7p c\u00e1c b\u00e0i to\u00e1n c\u00f3 nhi\u1ec1u bi\u1ebfn. Nhi\u1ec7m v\u1ee5 c\u1ee7a c\u00e1c em ch\u1ec9 c\u1ea7n thay l\u1ea7n l\u01b0\u1ee3t c\u00e1c bi\u1ebfn theo gi\u1ea3 thi\u1ebft v\u00e0 l\u00e0m b\u00e0i t\u1eadp theo t\u1eebng thao t\u00e1c c\u01a1 b\u1ea3n m\u00e0 th\u00f4i.<\/p>\n\n\n\n<p>V\u00ed d\u1ee5 cho bi\u1ebfn nh\u01b0 sau: \u0110a ph\u1ea7n, b\u00e0i t\u1eadp s\u1ebd cho 2 \u0111\u1ebfn 3 bi\u1ebfn x, y, z. Sau khi khai tri\u1ec3n ph\u00e9p t\u00ednh xong, ch\u1ec9 c\u1ea7n thay s\u1ed1 v\u00e0o t\u1eebng bi\u1ebfn m\u1ed9t l\u00e0 c\u00e1c em \u0111\u00e3 c\u00f3 k\u1ebft qu\u1ea3 c\u1ee7a b\u00e0i to\u00e1n r\u1ed3i. Nh\u1edb l\u00e0 \u0111\u1eebng qu\u00ean \u00e1p d\u1ee5ng quy t\u1eafc \u0111\u1ec3 l\u00e0m b\u01b0\u1edbc \u0111\u1ea7u ti\u00ean nh\u00e9.<\/p>\n\n\n\n<p>D\u1ea1ng 3: T\u00ecm m \u0111\u1ec3 ph\u00e9p t\u00ednh chia cho tr\u01b0\u1edbc l\u00e0 ph\u00e9p chia h\u1ebft.<\/p>\n\n\n\n<p>D\u1ea1ng b\u00e0i n\u00e0y l\u00e0 b\u00e0i to\u00e1n kh\u00f3 h\u01a1n c\u00e1c d\u1ea1ng tr\u01b0\u1edbc m\u1ed9t ch\u00fat b\u1edfi n\u00f3 \u00e1p d\u1ee5ng ng\u01b0\u1ee3c l\u1ea1i quy t\u1eafc. \u0110\u1ec3 l\u00e0m \u0111\u01b0\u1ee3c b\u00e0i to\u00e1n n\u00e0y, h\u00e3y s\u1eed d\u1ee5ng nh\u1eadn x\u00e9t: A v\u00e0 B l\u00e0 2 \u0111\u01a1n th\u1ee9c kh\u00e1c nhau v\u00e0 A chia h\u1ebft cho B khi m\u1ed7i bi\u1ebfn c\u1ee7a A v\u1edbi s\u1ed1 m\u0169 nh\u1ecf h\u01a1n ho\u1eb7c b\u1eb1ng s\u1ed1 m\u0169 c\u1ee7a n\u00f3 trong A<\/p>\n\n\n\n<p>M\u1ed9t s\u1ed1 b\u00e0i t\u1eadp \u00e1p d\u1ee5ng<\/p>\n\n\n\n<p>V\u1edbi c\u00e1c l\u00fd thuy\u1ebft v\u1ec1 to\u00e1n 8 chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c, ch\u00fang ta th\u1eed \u00e1p d\u1ee5ng gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp sau nh\u00e9.<\/p>\n\n\n\n<p>B\u00e0i 1<\/p>\n\n\n\n<p>L\u00e0m ph\u00e9p t\u00ednh chia c\u00e1c bi\u1ec3u th\u1ee9c sau:<\/p>\n\n\n\n<p>a) 43 : (-4)2; b) (3\/4)5: (3\/4)3 c) (-12)3 : 83.<\/p>\n\n\n\n<p>\u0110\u00e1p \u00e1n v\u00e0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i b\u00e0i<\/p>\n\n\n\n<p>a) 43 : (-4)2 = 43 : 42 = 43 \u2013 2 = 4<\/p>\n\n\n\n<p>b) (3\/4)5: (3\/4)3= (3\/4)5-3=(3\/4)2= 9\/16<\/p>\n\n\n\n<p>c) (-12)3 : 83 = -123 : 83= (-4 . 3)3 : (4 . 2)3 = ((-4.3)\/4.2)3= (-3\/2)3 = \u2013 27\/8<\/p>\n\n\n\n<p>B\u00e0i 2<\/p>\n\n\n\n<p>L\u00e0m t\u00ednh chia:<\/p>\n\n\n\n<p>a) x6 : (-x)4; b) (-x)5 : (-x)3;<\/p>\n\n\n\n<p>\u0110\u00e1p \u00e1n v\u00e0 h\u01b0\u1edbng d\u1eabn gi\u1ea3i b\u00e0i<\/p>\n\n\n\n<p>a) x6 : (-x)4 = x6: x4 = x6-4 = x2<\/p>\n\n\n\n<p>b) (-x)7 : (-x)5= (-x)7-5 = (-x)2 = x2<\/p>\n\n\n\n<p>Nh\u01b0 v\u1eady, c\u00e1c em v\u1eeba c\u00f9ng Vietlearn h\u1ecdc xong ph\u1ea7n l\u00fd thuy\u1ebft v\u00e0 c\u1ea3 th\u1ef1c h\u00e0nh b\u00e0i to\u00e1n chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c. \u0110\u00e2y l\u00e0 ph\u1ea7n kh\u00e1 \u0111\u01a1n gi\u1ea3n so v\u1edbi c\u00e1c b\u00e0i h\u1ecdc sau n\u00e0y, v\u00ed d\u1ee5 nh\u01b0 chia \u0111\u01a1n th\u1ee9c cho \u0111a th\u1ee9c hay chia \u0111a th\u1ee9c cho \u0111a th\u1ee9c. V\u00ec th\u1ebf, c\u00e1c em h\u00e3y \u00f4n luy\u1ec7n k\u1ef9 ph\u1ea7n n\u00e0y \u0111\u1ec3 t\u1ef1 tin b\u01b0\u1edbc v\u00e0o c\u00e1c n\u1ed9i dung b\u00e0i h\u1ecdc sau nh\u00e9.<\/p>\n\n\n\n<p>T\u00ecm hi\u1ec3u th\u00eam:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c - B\u00e0i 10 - To\u00e1n h\u1ecdc 8 - C\u00f4 V\u01b0\u01a1ng Th\u1ecb H\u1ea1nh (HAY NH\u1ea4T)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/zOEqedZHAeo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption>Chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c<\/figcaption><\/figure>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn M\u1ed9t trong nh\u1eefng n\u1ed9i dung quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n h\u1ecdc l\u1edbp 8 m\u00e0 c\u00e1c em ph\u1ea3i tr\u1ea3i qua ch\u00ednh l\u00e0 chia \u0111\u01a1n th\u1ee9c cho \u0111\u01a1n th\u1ee9c. Vietlearn s\u1ebd c\u00f9ng c\u00e1c em \u00f4n l\u1ea1i c\u00e1c ki\u1ebfn th\u1ee9c li\u00ean quan \u0111\u1ebfn l\u00fd thuy\u1ebft v\u00e0 th\u1ef1c h\u00e0nh c\u1ee7a n\u1ed9i dung [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[9,4],"tags":[],"class_list":["post-1091","post","type-post","status-publish","format-standard","hentry","category-toan-hoc","category-trung-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1091","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=1091"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/1091\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=1091"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=1091"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=1091"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}