Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn<\/p>\n\n\n\n
H\u00ecnh ch\u00f3p l\u00e0 lo\u1ea1i h\u00ecnh h\u1ecdc kh\u00f4ng gian kh\u00f3 v\u00e0 kh\u00e1 ph\u1ee9c t\u1ea1p. Tuy nhi\u00ean trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n<\/a> Trung h\u1ecdc ph\u1ed5 th\u00f4ng, h\u00ecnh ch\u00f3p \u0111\u1ec1u l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m quan tr\u1ecdng trong c\u00e1c k\u1ef3 thi. Ch\u00ednh v\u00ec v\u1eady \u0111\u1ec3 hi\u1ec3u r\u00f5 t\u00ednh ch\u1ea5t h\u00ecnh ch\u00f3p \u0111\u1ec1u, di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u v\u00e0 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u01b0\u1eddng g\u1eb7p, h\u00e3y c\u00f9ng Vietlearn.org\/ t\u00ecm hi\u1ec3u qua b\u00e0i gi\u1ea3ng chi ti\u1ebft sau.<\/p>\n\n\n\n H\u00ecnh ch\u00f3p \u0111\u1ec1u l\u00e0 h\u00ecnh c\u00f3 c\u00e1c \u0111\u00e1y l\u00e0 \u0111a gi\u00e1c \u0111\u1ec1u nh\u01b0 h\u00ecnh tam gi\u00e1c \u0111\u1ec1u, h\u00ecnh vu\u00f4ng,\u2026 v\u00e0 t\u00e2m c\u1ee7a \u0111\u00e1y h\u00ecnh ch\u00f3p tr\u00f9ng v\u1edbi ch\u00e2n \u0111\u01b0\u1eddng cao th\u00ec \u0111\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 h\u00ecnh ch\u00f3p \u0111\u1ec1u. \u0110\u1ec3 hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 h\u00ecnh ch\u00f3p n\u00e0y, h\u00e3y c\u00f9ng t\u00ecm hi\u1ec3u qua t\u00ednh ch\u1ea5t v\u00e0 nh\u1eefng th\u00f4ng tin li\u00ean quan.<\/p>\n\n\n\n Kh\u00e1i ni\u1ec7m h\u00ecnh ch\u00f3p \u0111\u1ec1u<\/p>\n\n\n\n \u0110\u1ec3 hi\u1ec3u r\u00f5 t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u c\u1ea7n ph\u00e2n bi\u1ec7t r\u00f5 gi\u1eefa h\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u v\u00e0 t\u1ee9 gi\u00e1c \u0111\u1ec1u.<\/p>\n\n\n\n V\u1ec1 c\u01a1 b\u1ea3n, t\u00ednh ch\u1ea5t c\u1ee7a lo\u1ea1i h\u00ecnh n\u00e0y bao g\u1ed3m nh\u1eefng y\u1ebfu t\u1ed1 sau:<\/p>\n\n\n\n H\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u c\u00f3 t\u00ednh ch\u1ea5t l\u00e0 h\u00ecnh c\u00f3 3 m\u1eb7t ph\u1eb3ng n\u1eb1m \u0111\u1ed1i x\u1ee9ng v\u1edbi nhau.<\/p>\n\n\n\n C\u00e1c c\u1ea1nh b\u00ean c\u1ee7a h\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u b\u1eb1ng nhau v\u00e0 c\u00f3 \u0111\u00e1y l\u00e0 h\u00ecnh tam gi\u00e1c \u0111\u1ec1u.<\/p>\n\n\n\n Ch\u00e2n \u0111\u01b0\u1eddng cao c\u1ee7a h\u00ecnh ch\u00f3p tr\u00f9ng v\u1edbi tr\u1ecdng t\u00e2m c\u1ee7a m\u1eb7t \u0111\u00e1y.<\/p>\n\n\n\n M\u1ecdi g\u00f3c c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u01b0\u1ee3c t\u1ea1o n\u00ean b\u1edfi m\u1eb7t b\u00ean c\u0169ng nh\u01b0 m\u1eb7t \u0111\u00e1y \u0111\u1ec1u b\u1eb1ng nhau.<\/p>\n\n\n\n C\u00e1c g\u00f3c \u0111\u01b0\u1ee3c t\u1ea1o n\u00ean b\u1edfi m\u1eb7t \u0111\u00e1y c\u0169ng nh\u01b0 c\u1ea1nh b\u00ean \u0111\u1ec1u b\u1eb1ng nhau.<\/p>\n\n\n\n M\u1ed9t trong nh\u1eefng t\u00ednh ch\u1ea5t quan tr\u1ecdng kh\u00e1c trong ch\u01b0\u01a1ng tr\u00ecnh \u0111\u00f3 ch\u00ednh l\u00e0 ki\u1ebfn th\u1ee9c li\u00ean quan \u0111\u1ebfn h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u. T\u00ednh ch\u1ea5t h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u bao g\u1ed3m nh\u1eefng y\u1ebfu t\u1ed1 sau:<\/p>\n\n\n\n \u0110\u00e1y c\u1ee7a h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u l\u00e0 h\u00ecnh vu\u00f4ng.<\/p>\n\n\n\n C\u00e1c c\u1ea1nh b\u00ean \u0111\u1ec1u b\u1eb1ng nhau.<\/p>\n\n\n\n C\u00e1c m\u1eb7t b\u00ean c\u1ee7a h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u l\u00e0 nh\u1eefng tam gi\u00e1c c\u00e2n b\u1eb1ng nhau.<\/p>\n\n\n\n Ch\u00e2n \u0111\u01b0\u1eddng cao c\u1ee7a h\u00ecnh ch\u00f3p tr\u00f9ng v\u1edbi giao \u0111i\u1ec3m 2 \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a m\u1eb7t \u0111\u00e1y.<\/p>\n\n\n\n T\u1ea5t c\u1ea3 nh\u1eefng g\u00f3c \u0111\u01b0\u1ee3c t\u1ea1o ra t\u1eeb c\u1ea1nh b\u00ean c\u0169ng nh\u01b0 m\u1eb7t \u0111\u00e1y \u0111\u1ec1u b\u1eb1ng nhau.<\/p>\n\n\n\n T\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u<\/p>\n\n\n\n H\u00ecnh ch\u00f3p \u0111\u1ec1u l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc kh\u00f4ng gian tr\u1ecdng t\u00e2m trong ch\u01b0\u01a1ng tr\u00ecnh trung h\u1ecdc ph\u1ed5 th\u00f4ng. \u0110\u1ec3 v\u1ebd \u0111\u01b0\u1ee3c ch\u00fang c\u1ea7n ph\u1ee5 thu\u1ed9c v\u00e0o c\u00e1c \u0111\u1eb7c t\u00ednh c\u1ee5 th\u1ec3 c\u1ee7a lo\u1ea1i h\u00ecnh n\u00e0y. \u0110\u1ed1i v\u1edbi h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u c\u0169ng nh\u01b0 tam gi\u00e1c \u0111\u1ec1u th\u00ec c\u00e1c v\u1ebd s\u1ebd kh\u00e1 gi\u1ed1ng nhau v\u00e0 \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n nh\u01b0 sau:<\/p>\n\n\n\n B\u01b0\u1edbc 1: Ti\u1ebfn h\u00e0nh v\u1ebd \u0111\u00e1y h\u00ecnh ch\u00f3p l\u00e0 h\u00ecnh vu\u00f4ng ho\u1eb7c h\u00ecnh tam gi\u00e1c. \u0110\u1ed1i v\u1edbi h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u th\u00ec v\u1ebd \u0111\u00e1y l\u00e0 h\u00ecnh vu\u00f4ng v\u00e0 h\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u th\u00ec v\u1ebd \u0111\u00e1y l\u00e0 h\u00ecnh tam gi\u00e1c \u0111\u1ec1u.<\/p>\n\n\n\n B\u01b0\u1edbc 2: X\u00e1c \u0111\u1ecbnh t\u00e2m c\u1ee7a m\u1eb7t ph\u1eb3ng \u0111\u00e1y, t\u00e2m c\u1ee7a m\u1eb7t ph\u1eb3ng \u0111\u00e1y c\u0169ng ch\u00ednh l\u00e0 ch\u00e2n \u0111\u01b0\u1eddng cao theo nh\u01b0 t\u00ednh ch\u1ea5t h\u00ecnh ch\u00f3p \u0111\u1ec1u.<\/p>\n\n\n\n B\u01b0\u1edbc 3: T\u1eeb ch\u00e2n \u0111\u01b0\u1eddng cao h\u00ecnh ch\u00f3p k\u00e9o m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng nh\u1ea5t \u0111\u1ecbnh \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh \u0111\u1ec9nh c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u.<\/p>\n\n\n\n B\u01b0\u1edbc 4: Ti\u1ebfn h\u00e0nh v\u1ebd nh\u1eefng c\u1ea1nh b\u00ean sao cho ch\u00fang \u0111\u1ec1u b\u1eb1ng nhau. V\u1ebd c\u1ea1nh b\u00ean b\u1eb1ng c\u00e1ch n\u1ed1i t\u1eeb \u0111\u1ec9nh h\u00ecnh ch\u00f3p xu\u1ed1ng g\u00f3c \u0111\u00e1y c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec3 t\u1ea1o th\u00e0nh nh\u1eefng c\u1ea1nh b\u00ean l\u00e0 nh\u1eefng tam gi\u00e1c \u0111\u1ec1u v\u00e0 b\u1eb1ng nhau.<\/p>\n\n\n\n B\u01b0\u1edbc 5: Nh\u1eefng g\u00f3c t\u1ea1o \u0111\u01b0\u1ee3c b\u1edfi m\u1eb7t \u0111\u00e1y v\u00e0 c\u1ea1nh b\u00ean c\u1ee7a m\u1eb7t \u0111\u00e1y l\u00e0 b\u1eb1ng nhau<\/p>\n\n\n\n a. Di\u1ec7n t\u00edch xung quanh h\u00ecnh ch\u00f3p \u0111\u1ec1u:<\/p>\n\n\n\n D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t h\u00ecnh ch\u00f3p \u0111\u1ec1u ta c\u00f3 c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u l\u00e0 t\u00edch c\u1ee7a trung \u0111o\u1ea1n c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u nh\u00e2n v\u1edbi n\u1eeda chu vi \u0111\u00e1y.<\/p>\n\n\n\n C\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u:<\/p>\n\n\n\n Sxq=p\u00d7d<\/p>\n\n\n\n C\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t t\u00ednh di\u1ec7n t\u00edch xung quanh c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u<\/p>\n\n\n\n Trong \u0111\u00f3:<\/p>\n\n\n\n d l\u00e0 trung \u0111o\u1ea1n<\/p>\n\n\n\n p l\u00e0 n\u1eeda chu vi \u0111\u00e1y.<\/p>\n\n\n\n Sxq: Di\u1ec7n t\u00edch xung quanh<\/p>\n\n\n\n b. Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n h\u00ecnh ch\u00f3p \u0111\u1ec1u<\/p>\n\n\n\n D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t h\u00ecnh ch\u00f3p \u0111\u1ec1u ta c\u00f3 c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u l\u00e0 t\u1ed5ng c\u1ee7a di\u1ec7n t\u00edch xung quanh v\u00e0 di\u1ec7n t\u00edch \u0111\u00e1y.<\/p>\n\n\n\n C\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t t\u00ednh di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n c\u1ee7a h\u00ecnh ch\u00f3p \u0111\u1ec1u:<\/p>\n\n\n\n Stp=Sxq+S\u0111\u00e1y<\/p>\n\n\n\n Trong \u0111\u00f3:<\/p>\n\n\n\n S\u0111\u00e1y l\u00e0 di\u1ec7n t\u00edch m\u1eb7t \u0111\u00e1y<\/p>\n\n\n\n Sxq: Di\u1ec7n t\u00edch xung quanh<\/p>\n\n\n\n Stp: Di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n<\/p>\n\n\n\n \u0110\u1ed1i v\u1edbi di\u1ec7n t\u00edch \u0111\u00e1y c\u1ea7n t\u00f9y thu\u1ed9c v\u00e0o d\u1ea1ng \u0111\u00e1y m\u00e0 \u00e1p d\u1ee5ng nh\u1eefng c\u00f4ng th\u1ee9c t\u00ednh kh\u00e1c nhau.<\/p>\n\n\n\n \u0110\u1ec3 t\u00ednh \u0111\u01b0\u1ee3c th\u1ec3 t\u00edch h\u00ecnh ch\u00f3p \u0111\u1ec1u c\u1ea7n ph\u1ee5 thu\u1ed9c v\u00e0o c\u00e1c \u0111\u1eb7c t\u00ednh c\u1ee7a lo\u1ea1i h\u00ecnh n\u00e0y nh\u01b0 \u0111\u00e3 \u0111\u01b0\u1ee3c n\u00eau \u1edf ph\u00eda tr\u00ean b\u00e0i vi\u1ebft. Theo \u0111\u00f3 c\u00f4ng th\u1ee9c t\u00ednh th\u1ec3 t\u00edch h\u00ecnh ch\u00f3p \u0111\u1ec1u l\u00e0 t\u00edch c\u1ee7a \u2153 di\u1ec7n t\u00edch \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao.<\/p>\n\n\n\n C\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t t\u00ednh th\u1ec3 t\u00edch h\u00ecnh ch\u00f3p \u0111\u1ec1u c\u1ee5 th\u1ec3 l\u00e0:<\/p>\n\n\n\n Trong \u0111\u00f3:<\/p>\n\n\n\n S l\u00e0 di\u1ec7n t\u00edch \u0111\u00e1y v\u00e0 t\u00f9y thu\u1ed9c v\u00e0o m\u1ed7i h\u00ecnh \u0111\u00e1y m\u00e0 c\u00f3 nh\u1eefng c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch \u0111\u00e1y kh\u00e1c nhau.<\/p>\n\n\n\n h l\u00e0 chi\u1ec1u cao.<\/p>\n\n\n\n V l\u00e0 th\u1ec3 t\u00edch.<\/p>\n\n\n\n C\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t t\u00ednh th\u1ec3 t\u00edch h\u00ecnh ch\u00f3p \u0111\u1ec1u<\/p>\n\n\n\n B\u00e0i gi\u1ea3ng tr\u00ean \u0111\u00e3 cung c\u1ea5p \u0111\u1ea7y \u0111\u1ee7 t\u00ednh ch\u1ea5t h\u00ecnh ch\u00f3p \u0111\u1ec1u c\u0169ng nh\u01b0 c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch xung quanh, di\u1ec7n t\u00edch to\u00e0n ph\u1ea7n v\u00e0 th\u1ec3 t\u00edch c\u1ee7a h\u00ecnh ch\u00f3p. Hy v\u1ecdng \u0111\u00e2y s\u1ebd l\u00e0 nh\u1eefng ki\u1ebfn th\u1ee9c b\u1ed5 \u00edch d\u00e0nh cho c\u00e1c em h\u1ecdc sinh<\/a> khi l\u00e0m b\u00e0i t\u1eadp v\u00e0 qu\u00fd ph\u1ee5 huynh c\u00f3 nhu c\u1ea7u gi\u1ea3ng d\u1ea1y v\u00e0 \u00f4n t\u1eadp cho con em c\u1ee7a m\u00ecnh. B\u00ean c\u1ea1nh \u0111\u00f3 \u0111\u1eebng qu\u00ean c\u1eadp nh\u1eadt ki\u1ebfn th\u1ee9c To\u00e1n h\u1ecdc kh\u00e1c tr\u00ean Vietlearn.org\/ \u0111\u1ec3 n\u1eafm b\u1eaft nh\u1eefng th\u00f4ng tin m\u1edbi nh\u1ea5t.<\/p>\n\n\n\n <\/p>\n\n\n\n H\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng<\/p>\n\n\n\n \u0110a gi\u00e1c.\u0110a gi\u00e1c \u0111\u1ec1u \u2013 L\u00fd thuy\u1ebft v\u00e0 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp to\u00e1n 8<\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":" Ghi ch\u00fa: T\u00e0i li\u1ec7u tr\u00edch d\u1eabn H\u00ecnh ch\u00f3p l\u00e0 lo\u1ea1i h\u00ecnh h\u1ecdc kh\u00f4ng gian kh\u00f3 v\u00e0 kh\u00e1 ph\u1ee9c t\u1ea1p. Tuy nhi\u00ean trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n Trung h\u1ecdc ph\u1ed5 th\u00f4ng, h\u00ecnh ch\u00f3p \u0111\u1ec1u l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m quan tr\u1ecdng trong c\u00e1c k\u1ef3 thi. Ch\u00ednh v\u00ec v\u1eady \u0111\u1ec3 hi\u1ec3u r\u00f5 t\u00ednh ch\u1ea5t h\u00ecnh […]<\/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-999","post","type-post","status-publish","format-standard","hentry","category-general"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/999","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=999"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/999\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=999"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=999"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=999"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}