{"id":690,"date":"2026-05-05T04:59:29","date_gmt":"2026-05-05T04:59:29","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/200-cau-trac-nghiem-dung-sai-ham-so-toa-do-vector-pdf-anh-giao-kid\/"},"modified":"2026-05-05T07:34:11","modified_gmt":"2026-05-05T07:34:11","slug":"200-cau-trac-nghiem-dung-sai-ham-so-toa-do-vector-pdf-anh-giao-kid","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/200-cau-trac-nghiem-dung-sai-ham-so-toa-do-vector-pdf-anh-giao-kid\/","title":{"rendered":"200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF Anh Gi\u00e1o Kid"},"content":{"rendered":"<p>200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF c\u1ee7a Anh Gi\u00e1o Kid l\u00e0 c\u1ea9m nang \u00f4n thi kh\u00f4ng th\u1ec3 thi\u1ebfu d\u00e0nh cho h\u1ecdc sinh THPT, \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00e1c em \u0111ang chu\u1ea9n b\u1ecb cho c\u00e1c k\u1ef3 thi quan tr\u1ecdng. T\u00e0i li\u1ec7u c\u00f3 c\u1ea5u tr\u00fac chu\u1ea9n theo \u0111\u1ec1 thi m\u1edbi t\u1eadp trung v\u00e0o hai chuy\u00ean \u0111\u1ec1 tr\u1ecdng t\u00e2m: H\u00e0m s\u1ed1 v\u00e0 T\u1ecda \u0111\u1ed9 Vector, gi\u00fap h\u1ecdc sinh c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c v\u00e0 r\u00e8n luy\u1ec7n k\u1ef9 n\u0103ng gi\u1ea3i b\u00e0i t\u1eadp tr\u1eafc nghi\u1ec7m hi\u1ec7u qu\u1ea3. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\">T\u00e0i Li\u1ec7u \u00d4n Thi<\/a> t\u00ecm hi\u1ec3u chi ti\u1ebft v\u1ec1 n\u1ed9i dung c\u1ee7a 200 c\u00e2u tr\u1eafc nghi\u1ec7m h\u1eefu \u00edch.<\/p>\n<h2>N\u1ed9i dung 200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF Anh Gi\u00e1o Kid<\/h2>\n<p>T\u00e0i li\u1ec7u 200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF bao g\u1ed3m 20 \u0111\u1ec1 thi th\u1eed, m\u1ed7i \u0111\u1ec1 c\u00f3 c\u00e1c c\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m \u0110\u00fang\/Sai \u0111a d\u1ea1ng, ph\u1ee7 kh\u1eafp c\u00e1c d\u1ea1ng b\u00e0i th\u01b0\u1eddng g\u1eb7p trong ch\u01b0\u01a1ng tr\u00ecnh H\u00e0m s\u1ed1 v\u00e0 T\u1ecda \u0111\u1ed9 Vector. C\u1ee5 th\u1ec3:<\/p>\n<p>H\u00e0m s\u1ed1:<\/p>\n<ul>\n<li>T\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a h\u00e0m s\u1ed1 (logarit, m\u0169, ph\u00e2n th\u1ee9c).<\/li>\n<li>T\u00ednh \u0111\u01a1n \u0111i\u1ec7u c\u1ee7a h\u00e0m s\u1ed1 (\u0111\u1ed3ng bi\u1ebfn, ngh\u1ecbch bi\u1ebfn).<\/li>\n<li>C\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 (c\u1ef1c \u0111\u1ea1i, c\u1ef1c ti\u1ec3u).<\/li>\n<li>Ti\u1ec7m c\u1eadn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 (\u0111\u1ee9ng, ngang, xi\u00ean).<\/li>\n<li>\u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 v\u00e0 c\u00e1c t\u00ednh ch\u1ea5t li\u00ean quan.<\/li>\n<li>B\u00e0i to\u00e1n t\u01b0\u01a1ng giao \u0111\u1ed3 th\u1ecb.<\/li>\n<li>Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1.<\/li>\n<li>S\u1ef1 bi\u1ebfn thi\u00ean c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc ba, tr\u00f9ng ph\u01b0\u01a1ng, ph\u00e2n th\u1ee9c.<\/li>\n<\/ul>\n<p>T\u1ecda \u0111\u1ed9 Vector<\/p>\n<p>M\u1ed7i c\u00e2u h\u1ecfi \u0111\u01b0\u1ee3c tr\u00ecnh b\u00e0y r\u00f5 r\u00e0ng, y\u00eau c\u1ea7u h\u1ecdc sinh x\u00e1c \u0111\u1ecbnh t\u00ednh \u0111\u00fang ho\u1eb7c sai c\u1ee7a m\u1ec7nh \u0111\u1ec1 \u0111\u01b0a ra. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 m\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi tham kh\u1ea3o tr\u00edch xu\u1ea5t t\u1eeb t\u1eadp t\u00e0i li\u1ec7u:<\/p>\n<p>C\u00e2u 1 \u2013 \u0110\u1ec1 s\u1ed1 1: T\u00ecm \u0111\u01b0\u1ee3c t\u1eadp x\u00e1c \u0111\u1ecbnh c\u00e1c h\u00e0m s\u1ed1 sau. V\u1eady:<\/p>\n<p>a) $y=2^x$ c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh $D=\\mathbb{R}$.<br \/>\nb) $y=\\left(\\frac{1}{3}\\right)^x + 2e^x$ c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh $D=\\mathbb{R}$.<br \/>\nc) $y=\\log_2(x-3x^2)$ c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh $D=\\left(0;\\frac{1}{3}\\right)$.<br \/>\nd) $y=\\ln x^2 + 3\\log(x+2)$ c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh $D=(-2;+\\infty)$.<\/p>\n<p>C\u00e2u 2 \u2013 \u0110\u1ec1 s\u1ed1 1: Cho h\u00e0m s\u1ed1 $y=2^x$<\/p>\n<p>a) H\u00e0m s\u1ed1 c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh $D=\\mathbb{R}$.<br \/>\nb) H\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng $(-\\infty;+\\infty)$<br \/>\nc) \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 \u0111i qua \u0111i\u1ec3m $A(2;4)$<br \/>\nd) \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 c\u00f3 h\u00ecnh sau b\u00ean:<\/p>\n<p><img loading=\"lazy\" alt=\"\" class=\"aligncenter\" decoding=\"async\" height=\"322\" src=\"https:\/\/tailieuonthi.edu.vn\/wp-content\/uploads\/2025\/07\/200-cau-trac-nghiem-dung-sai-ham-so-toa-do-vector-pdf-anh-giao-kid-1.jpg\" width=\"373\"\/><\/p>\n<p>C\u00e2u 3 \u2013 \u0110\u1ec1 s\u1ed1 1: Cho h\u00e0m s\u1ed1 $y = \\log_4 x$<\/p>\n<p>a) H\u00e0m s\u1ed1 c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh $D = \\mathbb{R}$.<br \/>\nb) H\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng $(0;+\\infty)$.<br \/>\nc) H\u00e0m s\u1ed1 \u0111i qua \u0111i\u1ec3m $A\\left(\\frac{1}{4}; -1\\right)$.<br \/>\nd) \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 c\u1eaft \u0111\u01b0\u1eddng th\u1eb3ng $y = 1$ t\u1ea1i \u0111i\u1ec3m c\u00f3 ho\u00e0nh \u0111\u1ed9 b\u1eb1ng $3$.<\/p>\n<p>C\u00e2u 4 \u2013 \u0110\u1ec1 s\u1ed1 1: T\u00ecm \u0111\u01b0\u1ee3c t\u1eadp x\u00e1c \u0111\u1ecbnh c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 sau. V\u1eady:<\/p>\n<p>a) $y = \\log_{\\frac{1}{8}} x$ c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh h\u00e0m s\u1ed1 l\u00e0 $D = (0;+\\infty)$.<br \/>\nb) $y = \\ln \\frac{1}{x^2}$ c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh h\u00e0m s\u1ed1 l\u00e0 $D = \\mathbb{R} \\setminus \\{0\\}$.<br \/>\nc) $y = e^{2x}$ c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh h\u00e0m s\u1ed1 l\u00e0 $D = \\mathbb{R} \\setminus \\{0\\}$.<br \/>\nd) $y = \\frac{6^x}{\\log x} + \\log(x^2 \u2013 x)$ c\u00f3 t\u1eadp x\u00e1c \u0111\u1ecbnh h\u00e0m s\u1ed1 l\u00e0 $D = [1;+\\infty)$.<\/p>\n<p>C\u00e2u 5 \u2013 \u0110\u1ec1 s\u1ed1 1:\u00a0X\u00e9t \u0111\u01b0\u1ee3c t\u00ednh \u0111\u01a1n \u0111i\u1ec7u c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 tr\u00ean t\u1eadp x\u00e1c \u0111\u1ecbnh. V\u1eady:<\/p>\n<p>a) H\u00e0m s\u1ed1 $y = \\left(\\frac{\\sqrt{3} + \\sqrt{2}}{3}\\right)^x$ \u0111\u1ed3ng bi\u1ebfn tr\u00ean $\\mathbb{R}$.<br \/>\nb) H\u00e0m s\u1ed1 $y = \\log_2 x$ \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng $(0;+\\infty)$.<br \/>\nc) H\u00e0m s\u1ed1 $y = \\left(\\frac{e}{\\pi}\\right)^x$ ngh\u1ecbch bi\u1ebfn tr\u00ean $\\mathbb{R}$.<br \/>\nd) H\u00e0m s\u1ed1 $y = \\log_{\\frac{1}{x}}$ \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng $(0;+\\infty)$.<\/p>\n<h2>T\u1ea3i 200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF Anh Gi\u00e1o Kid<\/h2>\n<p>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> 200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF Anh Gi\u00e1o Kid \u0111\u1ec3 b\u1eaft \u0111\u1ea7u qu\u00e1 tr\u00ecnh \u00f4n luy\u1ec7n hi\u1ec7u qu\u1ea3!<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/file\/d\/17m6l_ndzMLgA3_uv1Rz43JAY3dyI-K9H\/view\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i 200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai 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\/100-bai-toan-thuc-te-ham-so-toa-do-vector-pdf-anh-giao-kid\/\" rel=\"noopener\" target=\"_blank\">100 b\u00e0i to\u00e1n th\u1ef1c t\u1ebf H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector Anh Gi\u00e1o Kid<\/a><\/li>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/bo-cau-hoi-trac-nghiem-dung-sai-toan-12-chuong-trinh-moi-pdf-thay-do-van-duc\/\" rel=\"noopener\" target=\"_blank\">B\u1ed9 C\u00e2u H\u1ecfi Tr\u1eafc Nghi\u1ec7m \u0110\u00fang Sai To\u00e1n 12 Th\u1ea7y \u0110\u1ed7 V\u0103n \u0110\u1ee9c<\/a><\/li>\n<li><a href=\"https:\/\/tailieuonthi.edu.vn\/100-cau-trac-nghiem-dung-sai-anh-giao-kid\/\" rel=\"noopener\" target=\"_blank\">100 C\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai Anh Gi\u00e1o Kid<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>200 c\u00e2u tr\u1eafc nghi\u1ec7m \u0111\u00fang sai H\u00e0m S\u1ed1 \u2013 T\u1ecda \u0110\u1ed9 Vector PDF c\u1ee7a Anh Gi\u00e1o Kid l\u00e0 c\u1ea9m nang \u00f4n thi kh\u00f4ng th\u1ec3 thi\u1ebfu d\u00e0nh cho h\u1ecdc sinh THPT, \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00e1c em \u0111ang chu\u1ea9n b\u1ecb cho c\u00e1c k\u1ef3 thi quan tr\u1ecdng. T\u00e0i li\u1ec7u c\u00f3 c\u1ea5u tr\u00fac chu\u1ea9n theo \u0111\u1ec1 thi m\u1edbi t\u1eadp [&#8230;]\n","protected":false},"author":1,"featured_media":1888,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[78,77,10],"class_list":["post-690","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\/690","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=690"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/690\/revisions"}],"predecessor-version":[{"id":1889,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/690\/revisions\/1889"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1888"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=690"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=690"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=690"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}