{"id":4096,"date":"2021-11-15T13:44:45","date_gmt":"2021-11-15T06:44:45","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=4096"},"modified":"2021-11-15T13:44:46","modified_gmt":"2021-11-15T06:44:46","slug":"dien-tich-hinh-thoi-la-gi-cong-thuc-tinh-chu-vi-dien-tich-hinh-thoi","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/dien-tich-hinh-thoi-la-gi-cong-thuc-tinh-chu-vi-dien-tich-hinh-thoi\/","title":{"rendered":"Di\u1ec7n t\u00edch h\u00ecnh thoi l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c t\u00ednh chu vi, di\u1ec7n t\u00edch h\u00ecnh thoi"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh thoi l\u00e0 m\u1ed9t trong nh\u1eefng ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc quan tr\u1ecdng c\u00f3 trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc l\u1edbp 4. \u0110\u1ebfn l\u1edbp 8 c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh chu vi, di\u1ec7n t\u00edch h\u00ecnh thoi \u0111\u01b0\u1ee3c m\u1edf r\u1ed9ng h\u01a1n. C\u00f9ng t\u00ecm hi\u1ec3u c\u00e1c n\u1ed9i dung th\u00f4ng tin chi ti\u1ebft c\u00f3 trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y c\u1ee7a Vietlearn.org!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh thoi l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u01b0\u1edbc khi t\u00ecm hi\u1ec3u c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi th\u00ec b\u1ea1n ph\u1ea3i hi\u1ec3u \u0111\u01b0\u1ee3c th\u1ebf n\u00e0o l\u00e0 h\u00ecnh thoi, t\u00ednh ch\u1ea5t v\u00e0 d\u1ea5u hi\u1ec7u \u0111\u1ec3 d\u1ec5 d\u00e0ng nh\u1eadn bi\u1ebft, \u00e1p d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh ch\u00ednh x\u00e1c nh\u1ea5t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh thoi l\u00e0 h\u00ecnh g\u00ec?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh thoi trong h\u00ecnh h\u1ecdc Euclide l\u00e0 t\u1ee9 gi\u00e1c c\u00f3 b\u1ed1n c\u1ea1nh b\u1eb1ng nhau. \u0110\u00e2y l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, c\u00f3 hai c\u1ea1nh b\u1eb1ng nhau hay h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 2 \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c v\u1edbi nhau.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh thoi l\u00e0 t\u1ee9 gi\u00e1c c\u00f3 4 c\u1ea1nh b\u1eb1ng nhau<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh thoi c\u0169ng l\u00e0 m\u1ed9t h\u00ecnh b\u00ecnh h\u00e0nh<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh thoi c\u00f3 c\u00e1c t\u00ednh ch\u1ea5t sau:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00e1c g\u00f3c \u0111\u1ed1i nhau b\u1eb1ng nhau<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c v\u1edbi nhau v\u00e0 c\u1eaft nhau t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a m\u1ed7i \u0111\u01b0\u1eddng<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hai \u0111\u01b0\u1eddng ch\u00e9o l\u00e0 c\u00e1c \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c c\u1ee7a c\u00e1c g\u00f3c h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh thoi c\u00f3 t\u1ea5t c\u1ea3 c\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh b\u00ecnh h\u00e0nh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1ee9 gi\u00e1c c\u00f3 4 c\u1ea1nh b\u1eb1ng nhau l\u00e0 h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1ee9 gi\u00e1c c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c v\u1edbi nhau t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a m\u1ed7i \u0111\u01b0\u1eddng l\u00e0 h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 2 c\u1ea1nh b\u1eb1ng nhau l\u00e0 h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c v\u1edbi nhau l\u00e0 h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 m\u1ed9t \u0111\u01b0\u1eddng ch\u00e9o l\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c c\u1ee7a m\u1ed9t g\u00f3c l\u00e0 h\u00ecnh thoi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Di\u1ec7n t\u00edch h\u00ecnh thoi \u0111\u01b0\u1ee3c \u0111o b\u1eb1ng \u0111\u1ed9 l\u1edbn c\u1ee7a b\u1ec1 m\u1eb7t h\u00ecnh, l\u00e0 ph\u1ea7n m\u1eb7t ph\u1eb3ng ta c\u00f3 th\u1ec3 nh\u00ecn th\u1ea5y c\u1ee7a h\u00ecnh thoi. Di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh thoi b\u1eb1ng m\u1ed9t n\u1eeda t\u00edch c\u1ee7a hai \u0111\u01b0\u1eddng ch\u00e9o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f4ng th\u1ee9c t\u00ednh d\u1ef1a theo \u0111\u01b0\u1eddng ch\u00e9o<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f4ng th\u1ee9c t\u00ednh nh\u01b0 sau: (d1 x d2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong \u0111\u00f3:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">S l\u00e0 di\u1ec7n t\u00edch h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d1, d2 l\u00e0 hai \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a h\u00ecnh thoi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ed d\u1ee5: C\u00f3 m\u1ed9t t\u1ea5m b\u00eca h\u00ecnh thoi \u0111o \u0111\u01b0\u1ee3c hai \u0111\u01b0\u1eddng ch\u00e9o c\u1eaft nhau c\u00f3 chi\u1ec1u d\u00e0i l\u1ea7n l\u01b0\u1ee3t l\u00e0 6 cm, 8 cm. H\u1ecfi di\u1ec7n t\u00edch c\u1ee7a t\u1ea5m b\u00eca h\u00ecnh thoi bao nhi\u00eau?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u1ee3i \u00fd: \u00c1p d\u1ee5ng c\u00e1ch t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi, ta c\u00f3 = 6 cm, = 8 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=&gt; S = \u00bd x ( d1 x d2) = \u00bd ( 6\u00d78) = 42 cm2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi d\u1ef1a v\u00e0o c\u1ea1nh \u0111\u00e1y v\u00e0 chi\u1ec1u cao<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f4ng th\u1ee9c t\u00ednh nh\u01b0 sau: S = h x a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong \u0111\u00f3:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">h l\u00e0 chi\u1ec1u cao c\u1ee7a h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a l\u00e0 c\u1ea1nh \u0111\u00e1y.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ed d\u1ee5: Cho h\u00ecnh thoi ABCD, c\u00f3 c\u1ea1nh AB = BC = CD = DA = 5cm; chi\u1ec1u cao c\u1ee7a h\u00ecnh thoi b\u1eb1ng 3 cm. T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u1ee3i \u00fd: \u00c1p d\u1ee5ng theo c\u00f4ng th\u1ee9c t\u00ednh, ta c\u00f3 h = 3 cm, a = 5 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=&gt; S = h x a = 3\u00d75 = 15 cm2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi d\u1ef1a v\u00e0o h\u1ec7 th\u1ee9c trong tam gi\u00e1c<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ed d\u1ee5: Cho h\u00ecnh thoi ABCD, c\u00f3 c\u1ea1nh h\u00ecnh thoi l\u00e0 4, g\u00f3c A = 35 \u0111\u1ed9. T\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi ABCD.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u1ee3i \u00fd: \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c, ta c\u00f3 a = 4, g\u00f3c = 35 \u0111\u1ed9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=&gt; S = a2 x sinA = 42 x sin(35) = 9,176 (cm2)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u01b0u \u00fd:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u01a1n v\u1ecb t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi l\u00e0 m2, cm2,\u2026<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Khi t\u00ednh di\u1ec7n t\u00edch h\u00ecnh thoi b\u1ea1n c\u1ea7n ph\u1ea3i ch\u00fa \u00fd xem \u0111\u01a1n v\u1ecb m\u00e0 b\u1ea1n \u0111\u01b0a ra \u0111\u00e3 \u0111\u00fang ch\u01b0a. N\u1ebfu ch\u01b0a th\u00ec h\u00e3y \u0111\u1ed5i sang c\u00f9ng m\u1ed9t \u0111\u01a1n v\u1ecb.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Chu vi h\u00ecnh thoi \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng \u0111\u1ed9 d\u00e0i c\u1ee7a m\u1ed9t c\u1ea1nh nh\u00e2n 4. S\u1ed1 4 \u1edf \u0111\u00e2y \u0111\u01b0\u1ee3c hi\u1ec3u l\u00e0 4 c\u1ea1nh c\u1ee7a h\u00ecnh thoi.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f4ng th\u1ee9c t\u00ednh chu vi h\u00ecnh thoi: P = a x 4.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Trong \u0111\u00f3:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">P l\u00e0 chu vi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a l\u00e0 m\u1ed9t c\u1ea1nh c\u1ee7a h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ed d\u1ee5: Cho h\u00ecnh thoi ABCD c\u00f3 \u0111\u1ed9 d\u00e0i c\u1ea1nh b\u1eb1ng nhau v\u00e0 b\u1eb1ng 5 cm. H\u1ecfi chu vi b\u1eb1ng bao nhi\u00eau?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">G\u1ee3i \u00fd: D\u1ef1a theo c\u00f4ng th\u1ee9c t\u00ednh chu vi tr\u00ean, ta c\u00f3 a = 5 =&gt; P = a x 4 = 5\u00d74 = 20 cm<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\u00f4ng th\u1ee9c t\u00ednh \u0111\u01b0\u1eddng ch\u00e9o h\u00ecnh thoi<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\u1ef1a theo c\u00f4ng th\u1ee9c t\u00ednh chu vi h\u00ecnh thoi, di\u1ec7n t\u00edch h\u00ecnh thoi b\u1ea1n d\u1ec5 d\u00e0ng t\u00ednh \u0111\u01b0\u1ee3c c\u00f4ng th\u1ee9c \u0111\u01b0\u1eddng ch\u00e9o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00ednh \u0111\u01b0\u1eddng ch\u00e9o h\u00ecnh thoi khi bi\u1ebft di\u1ec7n t\u00edch, \u0111\u1ed9 d\u00e0i 1 \u0111\u01b0\u1eddng ch\u00e9o<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">N\u1ebfu nh\u01b0 b\u1ea1n \u0111\u00e3 bi\u1ebft di\u1ec7n t\u00edch h\u00ecnh thoi, \u0111\u1ed9 d\u00e0i \u0111\u01b0\u1eddng ch\u00e9o (d1) th\u00ec d\u1ec5 d\u00e0ng t\u00ecm \u0111\u01b0\u1ee3c c\u1ea1nh c\u00f2n l\u1ea1i b\u1eb1ng c\u00f4ng th\u1ee9c sau: d2 = 2S\/d1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u00ednh \u0111\u01b0\u1eddng ch\u00e9o h\u00ecnh thoi bi\u1ebft \u0111\u1ed9 d\u00e0i c\u1ea1nh a, g\u00f3c A b\u1eb1ng 60 \u0111\u1ed9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u00ec ABCD l\u00e0 h\u00ecnh thoi n\u00ean c\u00e1c c\u1ea1nh s\u1ebd \u0111\u1ec1u b\u1eb1ng a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">X\u00e9t tam gi\u00e1c ABC c\u00f3 AB = BC = A<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1ea1i c\u00f3 ABC = 60 \u0111\u1ed9 =&gt; Tam gi\u00e1c ABC l\u00e0 tam gi\u00e1c \u0111\u1ec1u c\u1ea1nh a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=&gt; AB = AC = BC = a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">=&gt; \u0110\u1ed9 d\u00e0i \u0111\u01b0\u1eddng ch\u00e9o h\u00ecnh thoi c\u00f3 c\u1ea1nh b\u1eb1ng a, g\u00f3c A b\u1eb1ng 60 \u0111\u1ed9 n\u00ean AC = DB = a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">V\u1edbi c\u00e1c th\u00f4ng tin tr\u00ean \u0111\u00e2y v\u1ec1 c\u00f4ng th\u1ee9c t\u00ednh chu vi, di\u1ec7n t\u00edch h\u00ecnh thoi mong r\u1eb1ng s\u1ebd gi\u00fap \u00edch b\u1ea1n. N\u1ebfu c\u00f3 b\u1ea5t k\u1ef3 th\u1eafc m\u1eafc, g\u00f3p \u00fd cho b\u00e0i vi\u1ebft, qu\u00fd b\u1ea1n \u0111\u1ecdc h\u00e3y comment ph\u00eda d\u01b0\u1edbi, ruaxeutdong.org s\u1ebd c\u1eadp nh\u1eadt v\u00e0 g\u1eedi \u0111\u1ebfn b\u1ea1n trong th\u1eddi gian s\u1edbm nh\u1ea5t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn H\u00ecnh thoi l\u00e0 m\u1ed9t trong nh\u1eefng ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc quan tr\u1ecdng c\u00f3 trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc l\u1edbp 4. \u0110\u1ebfn l\u1edbp 8 c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh chu vi, di\u1ec7n t\u00edch h\u00ecnh thoi \u0111\u01b0\u1ee3c m\u1edf r\u1ed9ng h\u01a1n. C\u00f9ng t\u00ecm hi\u1ec3u c\u00e1c n\u1ed9i dung th\u00f4ng tin chi ti\u1ebft c\u00f3 trong b\u00e0i vi\u1ebft [&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":[1],"tags":[],"class_list":["post-4096","post","type-post","status-publish","format-standard","hentry","category-general"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/4096","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=4096"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/4096\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=4096"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=4096"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=4096"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}