{"id":692,"date":"2026-05-05T04:59:36","date_gmt":"2026-05-05T04:59:36","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/100-bai-toan-thuc-te-ham-so-toa-do-vector-pdf-anh-giao-kid\/"},"modified":"2026-05-05T07:34:18","modified_gmt":"2026-05-05T07:34:18","slug":"100-bai-toan-thuc-te-ham-so-toa-do-vector-pdf-anh-giao-kid","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/100-bai-toan-thuc-te-ham-so-toa-do-vector-pdf-anh-giao-kid\/","title":{"rendered":"100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF Anh Gi\u00e1o Kid"},"content":{"rendered":"<p>100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF l\u00e0 t\u00e0i li\u1ec7u \u00f4n thi ch\u1ea5t l\u01b0\u1ee3ng cao \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n b\u1edfi ANH GI\u00c1O KID thu\u1ed9c FLASH STUDY. T\u00e0i li\u1ec7u n\u00e0y t\u1eadp trung v\u00e0o c\u00e1c d\u1ea1ng b\u00e0i to\u00e1n th\u1ef1c t\u1ebf th\u01b0\u1eddng g\u1eb7p trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n 12, \u0111\u1eb7c bi\u1ec7t l\u00e0 ph\u1ea7n H\u00e0m S\u1ed1 v\u00e0 T\u1ecda \u0110\u1ed9 Vector. H\u1ec7 th\u1ed1ng \u0111\u1ec1 thi \u0111a d\u1ea1ng t\u1eeb c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai \u0111\u1ebfn c\u00e2u tr\u1ea3 l\u1eddi ng\u1eafn, gi\u00fap h\u1ecdc sinh c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c, r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 v\u00e0 chu\u1ea9n b\u1ecb t\u1ed1t nh\u1ea5t cho c\u00e1c k\u1ef3 thi quan tr\u1ecdng. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\">Tailieuonthi<\/a> t\u00ecm hi\u1ec3u chi ti\u1ebft v\u1ec1 b\u1ed9 \u0111\u1ec1 n\u00e0y.<\/p>\n<h2>N\u1ed9i dung 100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF Anh Gi\u00e1o Kid<\/h2>\n<p>T\u00e0i li\u1ec7u 100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF bao g\u1ed3m 10 \u0111\u1ec1 thi, m\u1ed7i \u0111\u1ec1 \u0111\u01b0\u1ee3c chia th\u00e0nh hai ph\u1ea7n ch\u00ednh:<\/p>\n<p>PH\u1ea6N I. C\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai: G\u1ed3m 4 c\u00e2u h\u1ecfi, m\u1ed7i c\u00e2u c\u00f3 4 m\u1ec7nh \u0111\u1ec1 (a, b, c, d). Th\u00ed sinh c\u1ea7n x\u00e1c \u0111\u1ecbnh m\u1ed7i m\u1ec7nh \u0111\u1ec1 l\u00e0 \u0110\u00fang (\u0110) hay Sai (S). C\u00e1c c\u00e2u h\u1ecfi trong ph\u1ea7n n\u00e0y th\u01b0\u1eddng li\u00ean quan \u0111\u1ebfn:<\/p>\n<ul>\n<li>H\u00e0m s\u1ed1: B\u00e0i to\u00e1n v\u1ec1 doanh thu, chi ph\u00ed, l\u1ee3i nhu\u1eadn t\u1ed1i \u0111a c\u1ee7a doanh nghi\u1ec7p (v\u00ed d\u1ee5: b\u00e1n tivi, d\u1ec7t v\u1ea3i l\u1ee5a, s\u1ea3n xu\u1ea5t linh ki\u1ec7n, s\u1ea3n ph\u1ea9m th\u1ec3 thao).<\/li>\n<li>T\u1ecda \u0111\u1ed9 Vector v\u00e0 H\u00ecnh h\u1ecdc kh\u00f4ng gian: B\u00e0i to\u00e1n th\u1ef1c t\u1ebf v\u1ec1 h\u00ecnh h\u1ecdc nh\u01b0 thi\u1ebft k\u1ebf b\u1ec3 c\u00e1, x\u00e2y d\u1ef1ng b\u1ec3 ch\u1ee9a n\u01b0\u1edbc h\u00ecnh tr\u1ee5, b\u00e0i to\u00e1n v\u1ec1 d\u00e2y c\u1ed9t, \u0111\u01b0\u1eddng ch\u1ea1y t\u00e0u l\u01b0\u1ee3n si\u00eau t\u1ed1c.<\/li>\n<li>\u1ee8ng d\u1ee5ng c\u1ee7a \u0111\u1ea1o h\u00e0m: T\u1ed1c \u0111\u1ed9 thay \u0111\u1ed5i, v\u1eadn t\u1ed1c, gia t\u1ed1c trong chuy\u1ec3n \u0111\u1ed9ng, hi\u1ec7u qu\u1ea3 nhi\u00ean li\u1ec7u c\u1ee7a \u00f4 t\u00f4.<\/li>\n<li>C\u00e1c v\u1ea5n \u0111\u1ec1 kh\u00e1c: T\u1ed1c \u0111\u1ed9 \u0111\u00e1nh m\u00e1y trung b\u00ecnh, gi\u00e1 c\u1ed5 phi\u1ebfu.<\/li>\n<\/ul>\n<p>V\u00ed d\u1ee5:<\/p>\n<p>C\u00e2u 1 \u2013 \u0110\u1ec1 1: M\u1ed9t nh\u00e0 s\u1ea3n xu\u1ea5t trung b\u00ecnh b\u00e1n \u0111\u01b0\u1ee3c $1000$ ti vi m\u00e0n h\u00ecnh ph\u1eb3ng m\u1ed7i tu\u1ea7n v\u1edbi gi\u00e1 $14$ tri\u1ec7u \u0111\u1ed3ng m\u1ed9t chi\u1ebfc. M\u1ed9t cu\u1ed9c kh\u1ea3o s\u00e1t th\u1ecb tr\u01b0\u1eddng ch\u1ec9 ra r\u1eb1ng n\u1ebfu c\u1ee9 gi\u1ea3m gi\u00e1 b\u00e1n $500$ ngh\u00ecn \u0111\u1ed3ng th\u00ec s\u1ed1 l\u01b0\u1ee3ng ti vi b\u00e1n ra s\u1ebd t\u0103ng th\u00eam kho\u1ea3ng $100$ ti vi m\u1ed7i tu\u1ea7n. C\u00e1c m\u1ec7nh \u0111\u1ec1 sau \u0111\u00fang hay sai?<\/p>\n<p>a) G\u1ecdi $p$ (tri\u1ec7u \u0111\u1ed3ng) l\u00e0 gi\u00e1 c\u1ee7a m\u1ed7i ti vi, $x$ l\u00e0 s\u1ed1 ti vi. V\u1eady h\u00e0m c\u1ea7u l\u00e0: $p(x) = \\frac{1}{200}x + 19$.<br \/>\nb) C\u00f4ng ty gi\u1ea3m gi\u00e1 $4,5$ (tri\u1ec7u \u0111\u1ed3ng)\/1 ti vi cho ng\u01b0\u1eddi mua th\u00ec doanh thu c\u1ee7a c\u00f4ng ty l\u00e0 l\u1edbn nh\u1ea5t.<br \/>\nc) N\u1ebfu h\u00e0m chi ph\u00ed h\u00e0ng tu\u1ea7n l\u00e0 $C(x) = 12000 \u2013 3x$ (tri\u1ec7u \u0111\u1ed3ng), trong \u0111\u00f3 $x$ l\u00e0 s\u1ed1 ti vi b\u00e1n ra trong tu\u1ea7n, v\u1eady $2300$ ti vi \u0111\u01b0\u1ee3c b\u00e1n ra th\u00ec l\u1ee3i nhu\u1eadn l\u00e0 cao nh\u1ea5t.<br \/>\nd) N\u1ebfu h\u00e0m chi ph\u00ed h\u00e0ng tu\u1ea7n l\u00e0 $C(x) = 12000 \u2013 3x$ (tri\u1ec7u \u0111\u1ed3ng), trong \u0111\u00f3 $x$ l\u00e0 s\u1ed1 ti vi b\u00e1n ra trong tu\u1ea7n, nh\u00e0 s\u1ea3n xu\u1ea5t n\u00ean \u0111\u1eb7t gi\u00e1 b\u00e1n $8,5$ tri\u1ec7u \u0111\u1ed3ng\/1 ti vi \u0111\u1ec3 l\u1ee3i nhu\u1eadn l\u00e0 l\u1edbn nh\u1ea5t.<\/p>\n<p>C\u00e2u 2 \u2013 \u0110\u1ec1 1: Anh B ch\u1ebf t\u1ea1o m\u1ed9t b\u1ec3 c\u00e1 c\u00f3 d\u1ea1ng kh\u1ed1i h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt kh\u00f4ng n\u1eafp c\u00f3 th\u1ec3 t\u00edch $0,096m^3$, chi\u1ec1u cao $h=0,6m$, chi\u1ec1u r\u1ed9ng $x$, chi\u1ec1u d\u00e0i $y$, v\u1edbi $x &gt; 0, y &gt; 0$. Anh B d\u00f9ng lo\u1ea1i k\u00ednh \u0111\u1ec3 l\u00e0m c\u00e1c m\u1eb7t b\u00ean c\u00f3 gi\u00e1 $70.000$ \u0111\u1ed3ng\/$m^2$ v\u00e0 lo\u1ea1i k\u00ednh \u0111\u1ec3 l\u00e0m m\u1eb7t \u0111\u00e1y c\u00f3 gi\u00e1 $100.000$ \u0111\u1ed3ng\/$m^2$. M\u1ecdi chi ph\u00ed kh\u00e1c xem nh\u01b0 kh\u00f4ng \u0111\u00e1ng k\u1ec3. Khi \u0111\u00f3<\/p>\n<p>a) Bi\u1ec3u th\u1ee9c t\u00ednh chi ph\u00ed l\u00e0m c\u00e1c m\u1eb7t xung quanh l\u00e0 $C_{xq} = 84000 \\left(x + \\frac{0,16}{x}\\right)$.<br \/>\nb) H\u00e0m s\u1ed1 bi\u1ec3u th\u1ecb $y$ theo $x$ l\u00e0 $y = \\frac{0,16}{x}$.<br \/>\nc) Chi ph\u00ed mua k\u00ednh \u0111\u1ec3 l\u00e0m \u0111\u00e1y b\u1ec3 l\u00e0 $11200$ \u0111\u1ed3ng.<br \/>\nd) Chi ph\u00ed l\u00e0m b\u1ec3 c\u00e1 th\u1ea5p nh\u1ea5t l\u00e0 $100000$ \u0111\u1ed3ng.<\/p>\n<p>PH\u1ea6N II. C\u00e2u tr\u1eafc nghi\u1ec7m tr\u1ea3 l\u1eddi ng\u1eafn: G\u1ed3m 6 c\u00e2u h\u1ecfi, y\u00eau c\u1ea7u th\u00ed sinh t\u00ednh to\u00e1n v\u00e0 \u0111i\u1ec1n \u0111\u00e1p \u00e1n. C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp trong ph\u1ea7n n\u00e0y c\u0169ng r\u1ea5t \u0111a d\u1ea1ng, t\u1eadp trung v\u00e0o vi\u1ec7c \u1ee9ng d\u1ee5ng c\u00e1c ki\u1ebfn th\u1ee9c v\u1ec1 h\u00e0m s\u1ed1, \u0111\u1ea1o h\u00e0m v\u00e0 t\u1ecda \u0111\u1ed9 vector \u0111\u1ec3 gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 th\u1ef1c t\u1ebf.<\/p>\n<p>V\u00ed d\u1ee5:<\/p>\n<p>C\u00e2u 5 \u2013 \u0110\u1ec1 1: Nh\u00e0 m\u00e1y A chuy\u00ean s\u1ea3n xu\u1ea5t m\u1ed9t lo\u1ea1i s\u1ea3n ph\u1ea9m cho nh\u00e0 m\u00e1y B; Hai nh\u00e0 m\u00e1y th\u1ecfa thu\u1eadn r\u1eb1ng, h\u00e0ng th\u00e1ng nh\u00e0 m\u00e1y A cung c\u1ea5p cho nh\u00e0 m\u00e1y B s\u1ed1 l\u01b0\u1ee3ng s\u1ea3n ph\u1ea9m theo \u0111\u01a1n \u0111\u1eb7t h\u00e0ng c\u1ee7a nh\u00e0 m\u00e1y B (t\u1ed1i \u0111a $90$ t\u1ea5n s\u1ea3n ph\u1ea9m). N\u1ebfu s\u1ed1 l\u01b0\u1ee3ng \u0111\u1eb7t h\u00e0ng l\u00e0 $x$ t\u1ea5n s\u1ea3n ph\u1ea9m th\u00ec gi\u00e1 b\u00e1n cho m\u1ed7i t\u1ea5n s\u1ea3n ph\u1ea9m l\u00e0 $p(x)=90-0,01x^2$ (\u0111\u01a1n v\u1ecb tri\u1ec7u \u0111\u1ed3ng). Chi ph\u00ed \u0111\u1ec3 nh\u00e0 m\u00e1y A s\u1ea3n xu\u1ea5t $x$ t\u1ea5n s\u1ea3n ph\u1ea9m trong m\u1ed9t th\u00e1ng l\u00e0 $C(x)=\\frac{1}{2}(200+27x)$ (\u0111\u01a1n v\u1ecb tri\u1ec7u \u0111\u1ed3ng), thu\u1ebf gi\u00e1 tr\u1ecb gia t\u0103ng m\u00e0 nh\u00e0 m\u00e1y A ph\u1ea3i \u0111\u00f3ng cho nh\u00e0 n\u01b0\u1edbc l\u00e0 $10\\%$ t\u1ed5ng doanh thu m\u1ed7i th\u00e1ng. H\u1ecfi m\u1ed7i th\u00e1ng nh\u00e0 m\u00e1y A thu \u0111\u01b0\u1ee3c l\u1ee3i nhu\u1eadn cao nh\u1ea5t bao nhi\u00eau tri\u1ec7u \u0111\u1ed3ng (sau khi \u0111\u00e3 tr\u1eeb thu\u1ebf gi\u00e1 tr\u1ecb gia t\u0103ng)?<\/p>\n<p>C\u00e2u 6 \u2013 \u0110\u1ec1 1: V\u1eadn t\u1ed1c c\u1ee7a m\u1ed9t ch\u1ea5t \u0111i\u1ec3m chuy\u1ec3n \u0111\u1ed9ng \u0111\u01b0\u1ee3c bi\u1ec3u th\u1ecb b\u1edfi c\u00f4ng th\u1ee9c $v(t) = 8t + 3t^2$, trong \u0111\u00f3 $t &gt; 0$, $t$ t\u00ednh b\u1eb1ng gi\u00e2y v\u00e0 $v(t)$ t\u00ednh b\u1eb1ng $m\/s$. T\u00ecm gia t\u1ed1c (t\u00ednh b\u1eb1ng $m\/s^2$) c\u1ee7a ch\u1ea5t \u0111i\u1ec3m t\u1ea1i th\u1eddi \u0111i\u1ec3m m\u00e0 v\u1eadn t\u1ed1c chuy\u1ec3n \u0111\u1ed9ng l\u00e0 $11 \\, m\/s$.<\/p>\n<h2>T\u1ea3i 100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF Anh Gi\u00e1o Kid<\/h2>\n<p>100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF gi\u00fap c\u00e1c b\u1ea1n r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1, ph\u1ea3n x\u1ea1 nhanh v\u1edbi c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u1ef1c t\u1ebf, t\u1eeb \u0111\u00f3 t\u1ef1 tin h\u01a1n trong ph\u00f2ng thi v\u00e0 \u0111\u1ea1t k\u1ebft qu\u1ea3 cao. H\u00e3y t\u1ea3i ngay file <a href=\"https:\/\/tailieuonthi.edu.vn\/lop-12\/toan-12\/\" rel=\"noopener\" target=\"_blank\">t\u00e0i li\u1ec7u to\u00e1n 12<\/a> n\u00e0y \u0111\u1ec3 luy\u1ec7n t\u1eadp, c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c v\u1eefng ch\u1eafc tr\u01b0\u1edbc k\u1ef3 thi nh\u00e9!<\/p>\n<p><img loading=\"lazy\" alt=\"\" decoding=\"async\" height=\"808\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/07\/100-bai-toan-thuc-te-ham-so-toa-do-vector-pdf-anh-giao-kid-1.jpg\" width=\"567\"\/><img loading=\"lazy\" alt=\"\" decoding=\"async\" height=\"803\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/07\/100-bai-toan-thuc-te-ham-so-toa-do-vector-pdf-anh-giao-kid-2.jpg\" width=\"567\"\/><img alt=\"\" decoding=\"async\" height=\"807\" loading=\"lazy\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/07\/100-bai-toan-thuc-te-ham-so-toa-do-vector-pdf-anh-giao-kid-3.jpg\" width=\"567\"\/><\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/file\/d\/1wTSH4-IOXnSOG3PROP7gOP8KvIIrAh2k\/view\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i 100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF Anh Gi\u00e1o Kid<\/a><\/p>\n<p>T\u00e0i li\u1ec7u li\u00ean quan:<\/p>\n<ul>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/200-cau-trac-nghiem-dung-sai-ham-so-toa-do-vector-pdf-anh-giao-kid\/\" rel=\"noopener\" target=\"_blank\">200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector Anh Gi\u00e1o Kid PDF<\/a><\/li>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/50-bai-toan-ung-dung-thuc-te-hinh-oxyz-va-tich-phan-anh-giao-kid\/\" rel=\"noopener\" target=\"_blank\">50 B\u00e0i To\u00e1n \u1ee8ng D\u1ee5ng Th\u1ef1c T\u1ebf H\u00ecnh Oxyz V\u00e0 T\u00edch Ph\u00e2n Anh Gi\u00e1o Kid<\/a><\/li>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/toan-thuc-te-12-pdf-mien-phi-le-quang-xe\/\" rel=\"noopener\" target=\"_blank\">To\u00e1n Th\u1ef1c T\u1ebf 12 PDF L\u00ea Quang Xe<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF l\u00e0 t\u00e0i li\u1ec7u \u00f4n thi ch\u1ea5t l\u01b0\u1ee3ng cao \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n b\u1edfi ANH GI\u00c1O KID thu\u1ed9c FLASH STUDY. T\u00e0i li\u1ec7u n\u00e0y t\u1eadp trung v\u00e0o c\u00e1c d\u1ea1ng b\u00e0i to\u00e1n th\u1ef1c t\u1ebf th\u01b0\u1eddng g\u1eb7p trong ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n 12, \u0111\u1eb7c bi\u1ec7t l\u00e0 ph\u1ea7n H\u00e0m S\u1ed1 [&#8230;]\n","protected":false},"author":1,"featured_media":1890,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[78,77,10],"class_list":["post-692","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-toan-12","tag-anh-giao-kid","tag-flash-study","tag-toan-12"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/692","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/comments?post=692"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/692\/revisions"}],"predecessor-version":[{"id":1891,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/692\/revisions\/1891"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1890"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=692"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=692"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=692"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}