B\u00e0i Test Tr\u1eafc Nghi\u1ec7m<\/title>\n <link href=\"https:\/\/fonts.googleapis.com\/css2?family=Latin+Modern:wght@400&display=swap\" rel=\"stylesheet\"> \n \n <link rel=\"stylesheet\" type=\"text\/css\" href=\"https:\/\/tikzjax.com\/v1\/fonts.css\">\n <script src=\"https:\/\/tikzjax.com\/v1\/tikzjax.js\"><\/script>\n \n \n \n <link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.css\" \n integrity=\"sha384-nB0miv6\/jRmo5UMMR1wu3Gz6NLsoTkbqJghGIsx\/\/Rlm+ZU03BU6SQNC66uf4l5+\" \n crossorigin=\"anonymous\">\n \n <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\" \n integrity=\"sha384-7zkQWkzuo3B5mTepMUcHkMB5jZaolc2xDwL6VFqjFALcbeS9Ggm\/Yr2r3Dy4lfFg\" \n crossorigin=\"anonymous\"><\/script>\n \n <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/contrib\/auto-render.min.js\" \n integrity=\"sha384-43gviWU0YVjaDtb\/GhzOouOXtZMP\/7XUzwPTstBeZFe\/+rCMvRwr4yROQP43s0Xk\" \n crossorigin=\"anonymous\"\n onload=\"renderMathInElement(document.body); \n renderMathInElement(document.body, {\n delimiters: [\n {left: '<p class=\"ql-center-displayed-equation\" style=\"line-height: 20px;\"><span class=\"ql-right-eqno\"> <\/span><span class=\"ql-left-eqno\"> <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-77baa04537073105b02318b995c7964b_l3.svg\" height=\"20\" width=\"70\" class=\"ql-img-displayed-equation \" alt=\"\[', right: '\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>', display: true},\n {left: '$', right: '$', display: false}\n ]\n });\"><\/script>\n \n\t<script>\n document.addEventListener(\"DOMContentLoaded\", function() {\n tikzjax.render(document.body);\n });\n <\/script>\n <style> \n body {\n font-family: 'Palatyno';\n line-height: 1.5;\n font-size: 19px;\n } \n .question {\n \n counter-increment: question;\n \/* border: 2px solid #4CAF50; \u0110\u01b0\u1eddng vi\u1ec1n m\u00e0u xanh l\u00e1 c\u00e2y *\/\n background-color: #ebfab4; \/* M\u00e0u n\u1ec1n nh\u1ea1t *\/\n padding: 5px; \/* Kho\u1ea3ng c\u00e1ch b\u00ean trong *\/\n margin: 10px 0; \/* Kho\u1ea3ng c\u00e1ch b\u00ean ngo\u00e0i *\/\n border-radius: 8px; \/* Bo g\u00f3c cho \u0111\u01b0\u1eddng vi\u1ec1n *\/\n }\n .question::before {\n content: \"C\u00e2u \" counter(question) \". \";\n font-weight: bold;\n display: inline;\n }\n h2 {\n font-size: 19px;\n font-weight: normal;\n margin-bottom: 0;\n display: inline;\n }\n .options {\n margin-top: 0;\n }\n .options label { font-size: 19px;\n display: block;\n margin: 3px 0;\n }\n .column-1 .options {\n display: block;\n }\n .column-2 .options {\n column-count: 2;\n column-gap: 8px;\n }\n .column-4 .options {\n column-count: 4;\n column-gap: 8px;\n } \n \n input[type=\"radio\"] {\n appearance: none;\n width: 15px;\n height: 15px;\n border: 2px solid #333;\n border-radius: 50%;\n background-color: white;\n cursor: pointer;\n outline: none; \n \n \n }\n input[type=\"checkbox\"] {\n appearance: none;\n width: 20px;\n height: 20px;\n border: 2px solid #333;\n background-color: white;\n cursor: pointer;\n outline: none;\n }\n input[type=\"radio\"]:checked, input[type=\"checkbox\"]:checked {\n background-color: #99ce34;\n }\n .blank-container {\n display: inline-flex;\n align-items: center;\n margin-left: 10px;\n }\n .blank {\n border-bottom: 1px solid #333;\n width: 200px;\n text-align: center;\n }\n #result {\n margin-top: 20px;\n font-weight: bold;\n }\n .katex {\n font-size: 19px; \/* \u0110i\u1ec1u ch\u1ec9nh gi\u00e1 tr\u1ecb n\u00e0y \u0111\u1ec3 t\u0103ng\/gi\u1ea3m k\u00edch th\u01b0\u1edbc c\u00f4ng th\u1ee9c *\/\n ; \/* Thay \u0111\u1ed5i font ch\u1eef \u1edf \u0111\u00e2y *\/ \n }\n \n <\/style>\n<\/head>\n<body>\n\n<div id=\"timer\" style=\"font-size: 24px; text-align: center; margin-bottom: 20px;\"><\/div> \n<h1 font-size: 15px; font-weight: bold; color: #333> 1. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn <\/h1> \n<div class=\"section\" id=\"section-1\">\n <div class=\"question column-4\">\n <h2> Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $3^x = 81$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question1\"> 4. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> 2. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> 3. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> 9. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> C\u1eb7p s\u1ed1 nh\u00e2n $(u_n)$ c\u00f3 $u_1 = 2$ v\u00e0 $u_2 = -4$. S\u1ed1 h\u1ea1ng $u_6$ c\u1ee7a c\u1ea5p s\u1ed1 nh\u00e2n l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question2\"> $-64$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> $128$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> $128$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> $64$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Cho h\u00ecnh h\u1ed9p $ABCD.A’B’C’D’$. Ph\u00e1t bi\u1ec3u n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question3\"> $ \\overrightarrow{BA} + \\overrightarrow{BC} + \\overrightarrow{BB’} = \\overrightarrow{BD’}$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> $\\overrightarrow{BA} + \\overrightarrow{BD} + \\overrightarrow{BB’} = \\overrightarrow{BD’}$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> $\\overrightarrow{BA’} + \\overrightarrow{BC} + \\overrightarrow{BB’} = \\overrightarrow{BD’}$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> $\\overrightarrow{AB} + \\overrightarrow{CB} + \\overrightarrow{BB’} = \\overrightarrow{BD’}$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $y = \\dfrac{x^2 – 2x + 4}{x-3}$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question4\"> $M (2024; 2025)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $Q (2027; 2024)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $N (2025; 2022)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $P (2024; 2024)$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Th\u1eddi gian truy c\u1eadp Internet m\u1ed7i bu\u1ed5i t\u1ed1i c\u1ee7a m\u1ed9t s\u1ed1 h\u1ecdc sinh \u0111\u01b0\u1ee3c cho trong b\u1ea3ng sau:\n <div style=\"text-align: center;\">\n $\\scriptsize\n \\begin{array}{|c| c| c | c| c| c|}\n \\hline\n \\text{Th\u1eddi gian (ph\u00fat)} & [9{,}5;12{,}5) & [12{,}5;15{,}5) & [15{,}5;18{,}5) & [18{,}5;2{1,}5) & [21{,}5;24{,}5)\\\\\n \\hline\n \\text{S\u1ed1 h\u1ecdc sinh} & 3 & 12 & 15 & 24 & 2\\\\\n \\hline\n \\end{array}\n $\n <\/div>\n T\u1ee9 ph\u1ea7n th\u1ee9 v\u1ecb $Q_2$ c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u gh\u00e9p nh\u00f3m tr\u00ean b\u1eb1ng: <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $18{,1}$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $15{,}25$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $21$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question5\"> $20$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Ti\u1ec7m c\u1eadn ngang c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $y = \\dfrac{4x + 2}{2x – 1}$ l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng: <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $y = 4$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $y = \\dfrac{-1}{2}$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question6\"> $y = 2$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $y = – 5$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh $\\ln(9-x) < 0$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $[8; +\\infty)$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question7\"> $[8, 9)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $(- \\infty, 8)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $(- \\infty, 9)$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> \u0110\u01b0\u1eddng cong \u1edf h\u00ecnh sau l\u00e0 \u0111\u1ed3 th\u1ecb c\u1ee7a m\u1ed9t trong b\u1ed1n h\u00e0m s\u1ed1 d\u01b0\u1edbi \u0111\u00e2y. H\u00e0m s\u1ed1 \u0111\u00f3 l\u00e0 h\u00e0m n\u00e0o?\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 15px 0;transform: scale(1.15);\">\n <script type=\"text\/tikz\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-163f89b8d9991e130e637d2fc2529acd_l3.svg\" height=\"269\" width=\"294\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/script>\n <\/div>\n <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $y = x^3 – 3x + 2$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question8\"> $y = x^3 – 3x^2 + 2$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $y = x^3 – 6x + 2$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $y = -x^3 + 3x^2 + 2$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> S\u1ed1 giao \u0111i\u1ec3m c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $y = x^2 + 3x – 2$ v\u1edbi tr\u1ee5c Ox l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question9\"> 2. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> 3. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> 1. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> 0. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Cho h\u00e0m s\u1ed1 $y=f(x)$ c\u00f3 bbt nh\u01b0 sau:\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 15px 0;transform: scale(1.3);\">\n <script type=\"text\/tikz\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-a457a078ec080d462da8056bf41d81b0_l3.svg\" height=\"157\" width=\"431\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/script>\n <\/div>\n Gi\u00e1 tr\u1ecb c\u1ef1c \u0111\u1ea1i c\u1ee7a h\u00e0m s\u1ed1 $y = f(x)$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question10\"> $0$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> $1$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> $-3$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> $5$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 $y = f(x) = x^3+3x-6$ tr\u00ean \u0111o\u1ea1n $[1;3]$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $-39$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question11\"> $-2$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $-10$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $-6$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Cho h\u00e0m s\u1ed1 $y=f(x)$ c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau:\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 15px 0;transform: scale(1.3);\">\n <script type=\"text\/tikz\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-fc33f11f22ec303419383bb3cff4a3f1_l3.svg\" height=\"157\" width=\"431\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/script>\n <\/div>\n H\u00e0m s\u1ed1 \u0111\u00e3 cho ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng n\u00e0o d\u01b0\u1edbi \u0111\u00e2y? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $(- \\infty; 1)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $(-2; 3)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $(-1; 0)$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question12\"> $(0; 1)$. <\/label>\n <\/div>\n <\/div>\n \n<\/div>\n\n\n \n<h1 font-size: 15px; font-weight: bold; color: #333>2. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111\u00fang sai <\/h1> \n<div class=\"section\" id=\"section-2\">\n <div class=\"question\">\n <h2> Cho h\u00e0m s\u1ed1 $f(x) = x \\sin x – x$. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> \u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 \u0111\u00e3 cho l\u00e0 $f'(x) = \\cos x – 1$ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question13\"> Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $f'(x) = 0$ tr\u00ean \u0111o\u1ea1n $\\left[\\dfrac{\\pi}{2}, \\dfrac{3\\pi}{2}\\right]$ l\u00e0 $\\pi$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a $f(x)$ tr\u00ean \u0111o\u1ea1n $\\left[\\dfrac{\\pi}{2}, \\dfrac{3\\pi}{2}\\right]$ l\u00e0 $\\dfrac{\\pi – 1}{2}$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> $f(0) = 0; f(\\pi) = -\\pi$ <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question\">\n <h2> M\u1ed9t t\u00e0u \u0111\u1ed5 b\u1ed9 ti\u1ebfp c\u1eadn M\u1eb7t Tr\u0103ng theo c\u00e1ch ti\u1ebfp c\u1eadn th\u1eb3ng \u0111\u1ee9ng v\u00e0 \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m \u1edf \u0111\u1ed9 cao 250 km so v\u1edbi b\u1ec1 m\u1eb7t c\u1ee7a M\u1eb7t Tr\u0103ng. Trong kho\u1ea3ng 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, \u0111\u1ed9 cao $h$ c\u1ee7a con t\u00e0u so v\u1edbi b\u1ec1 m\u1eb7t c\u1ee7a M\u1eb7t Tr\u0103ng \u0111\u01b0\u1ee3c t\u00ednh (g\u1ea7n \u0111\u00fang) b\u1edfi h\u00e0m $h(t) = -0{,}01t^3 + 1{,}1t^2 – 30t + 250$ trong \u0111\u00f3 $t$ l\u00e0 th\u1eddi gian t\u00ednh b\u1eb1ng gi\u00e2y v\u00e0 $h$ l\u00e0 \u0111\u1ed9 cao t\u00ednh b\u1eb1ng kilomet. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question14\"> Trong 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, \u0111\u1ed9 cao l\u1edbn nh\u1ea5t m\u00e0 con t\u00e0u \u0111\u1ea1t \u0111\u01b0\u1ee3c l\u00e0 250 km <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question14\"> Trong 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, \u0111\u1ed9 cao con t\u00e0u \u0111\u1ea1t \u0111\u01b0\u1ee3c khi v\u1eadn t\u1ed1c c\u1ee7a con t\u00e0u l\u1edbn nh\u1ea5t l\u00e0 139{,}37 km <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question14\"> Trong 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, v\u1eadn t\u1ed1c l\u1edbn nh\u1ea5t c\u1ee7a con t\u00e0u l\u00e0 $v \\approx 10{,}33$ km\/s <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question14\"> Trong 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, \u0111\u1ed9 cao th\u1ea5p nh\u1ea5t m\u00e0 con t\u00e0u \u0111\u1ea1t \u0111\u01b0\u1ee3c t\u1ea1i th\u1eddi \u0111i\u1ec3m $t \\approx 25$ s <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question\">\n <h2> M\u1ed9t nh\u00e0 s\u1ea3n xu\u1ea5t trung b\u00ecnh b\u00e1n \u0111\u01b0\u1ee3c 1500 ti vi m\u00e0n h\u00ecnh ph\u1eb3ng m\u1ed7i tu\u1ea7n v\u1edbi gi\u00e1 15 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 600 ngh\u00ecn \u0111\u1ed3ng, s\u1ed1 l\u01b0\u1ee3ng ti vi b\u00e1n ra s\u1ebd t\u0103ng th\u00eam kho\u1ea3ng 120 ti vi m\u1ed7i tu\u1ea7n. G\u1ecdi $p$ (tri\u1ec7u \u0111\u1ed3ng) l\u00e0 gi\u00e1 c\u1ee7a m\u1ed7i ti vi, $x$ l\u00e0 s\u1ed1 ti vi. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> N\u1ebfu h\u00e0m chi ph\u00ed h\u1eb1ng tu\u1ea7n l\u00e0 $C(x) = \\dfrac{12000}{7} – 2x$ (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 9,5 tri\u1ec7u \u0111\u1ed3ng th\u00ec l\u1ee3i nhu\u1eadn l\u00e0 l\u1edbn nh\u1ea5t <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question15\"> C\u00f4ng ty gi\u1ea3m gi\u00e1 3,5 tri\u1ec7u \u0111\u1ed3ng cho ng\u01b0\u1eddi mua th\u00ec doanh thu c\u1ee7a c\u00f4ng ty s\u1ebd l\u1edbn nh\u1ea5t <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question15\"> T\u1ed5ng doanh thu t\u1eeb ti\u1ec1n b\u00e1n ti vi l\u00e0 $f(p) = 2200p – 450p^2$ (tri\u1ec7u \u0111\u1ed3ng) <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> H\u00e0m c\u1ea7u l\u00e0 $P = 200 – \\dfrac{1}{45}x + \\dfrac{2}{x}$ (tri\u1ec7u \u0111\u1ed3ng) <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question\">\n <h2> N\u1ed3ng \u0111\u1ed9 thu\u1ed1c $C(t)$ t\u00ednh theo mg\/cm$^3$ trong m\u00e1u c\u1ee7a b\u1ec7nh nh\u00e2n \u0111\u01b0\u1ee3c t\u00ednh b\u1edfi $C(t) = \\dfrac{0{,}05t}{1 + t + t^2}$ trong \u0111\u00f3 $t$ l\u00e0 th\u1eddi gian t\u00ednh theo gi\u1edd k\u1ec3 t\u1eeb khi ti\u00eam cho b\u1ec7nh nh\u00e2n. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question16\"> C\u00f3 th\u1eddi \u0111i\u1ec3m n\u1ed3ng \u0111\u1ed9 thu\u1ed1c trong m\u00e1u c\u1ee7a b\u1ec7nh nh\u00e2n \u0111\u1ea1t 30{,}02 mg\/cm$^3$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question16\"> N\u1ed3ng \u0111\u1ed9 thu\u1ed1c trong m\u00e1u l\u1edbn nh\u1ea5t \u1edf th\u1eddi \u0111i\u1ec3m 1 gi\u1edd sau khi ti\u00eam <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question16\"> H\u00e0m s\u1ed1 $C(t)$ c\u00f3 \u0111\u1ea1o h\u00e0m l\u00e0 $C'(t) = \\dfrac{1 – t^2}{20(1 + t + t^2)}$, v\u1edbi $t \\geq 0$ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question16\"> Sau khi ti\u00eam, n\u1ed3ng \u0111\u1ed9 thu\u1ed1c trong m\u00e1u c\u1ee7a b\u1ec7nh nh\u00e2n gi\u1ea3m d\u1ea7n theo th\u1eddi gian <\/label>\n <\/div>\n <\/div>\n \n<\/div>\n\n\n \n<h1 font-size: 15px; ; color: #333> 3. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111i\u1ec1n khuy\u1ebft <\/h1> \n<div class=\"section\" id=\"section-3\">\n <div class=\"question\">\n <h2> M\u1ed9t b\u1ec3 ban \u0111\u1ea7u ch\u1ee9a 160 l\u00edt n\u01b0\u1edbc. Sau \u0111\u00f3, c\u1ee9 m\u1ed7i ph\u00fat ng\u01b0\u1eddi ta b\u01a1m th\u00eam 60 l\u00edt n\u01b0\u1edbc v\u00e0o b\u1ec3, \u0111\u1ed3ng th\u1eddi cho v\u00e0o b\u1ec3 21 gam ch\u1ea5t kh\u1eed tr\u00f9ng (h\u00f2a tan). \u0110\u1eb7t $f(t)$ (gam\/l\u00edt) l\u00e0 n\u1ed3ng \u0111\u1ed9 ch\u1ea5t kh\u1eed tr\u00f9ng trong b\u1ec3 sau $t$ ph\u00fat $(t \\geq 0)$, bi\u1ebft r\u1eb1ng sau khi kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean c\u1ee7a h\u00e0m s\u1ed1 $f(t)$, ta th\u1ea5y gi\u00e1 tr\u1ecb $f(t)$ t\u0103ng theo $t$ nh\u01b0ng kh\u00f4ng v\u01b0\u1ee3t ng\u01b0\u1ee1ng $p$ gam\/l\u00edt. T\u00ecm s\u1ed1 $p$. \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"0,35\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-1\"> \n <\/span> \n <\/div>\n \n <div class=\"question\">\n <h2> Chi ph\u00ed xu\u1ea5t b\u1ea3n $x$ cu\u1ed1n t\u1ea1p ch\u00ed (bao g\u1ed3m: l\u01b0\u01a1ng c\u00e1n b\u1ed9, c\u00f4ng nh\u00e2n vi\u00ean, gi\u1ea5y in\u2026) \u0111\u01b0\u1ee3c cho b\u1edfi $C(x) = x^2-2000x+10^8$ \u0111\u1ed3ng. Chi ph\u00ed ph\u00e1t h\u00e0nh cho m\u1ed7i cu\u1ed1n l\u00e0 4 ngh\u00ecn \u0111\u1ed3ng. $M(x) = \\dfrac{T(x)}{x}$ v\u1edbi $T(x)$ l\u00e0 t\u1ed5ng chi ph\u00ed (xu\u1ea5t b\u1ea3n v\u00e0 ph\u00e1t h\u00e0nh) cho $x$ cu\u1ed1n t\u1ea1p ch\u00ed, \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 chi ph\u00ed trung b\u00ecnh cho m\u1ed9t cu\u1ed1n t\u1ea1p ch\u00ed khi xu\u1ea5t b\u1ea3n $x$ cu\u1ed1n. Khi s\u1ed1 l\u01b0\u1ee3ng cu\u1ed1n t\u1ea1p ch\u00ed ph\u00e1t h\u00e0nh c\u1ef1c l\u1edbn th\u00ec chi ph\u00ed trung b\u00ecnh cho m\u1ed7i cu\u1ed1n t\u1ea1p ch\u00ed $M(x)$ s\u1ebd ti\u1ec7m c\u1eadn v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh d\u1ea1ng $y = ax + b$. T\u00ednh $P = 68a + 3b + 800$. \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"6868\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-2\"> \n <\/span> \n <\/div>\n \n <div class=\"question\">\n <h2> Gi\u1ea3 s\u1eed doanh s\u1ed1 (t\u00ednh b\u1eb1ng s\u1ed1 s\u1ea3n ph\u1ea9m) c\u1ee7a m\u1ed9t s\u1ea3n ph\u1ea9m m\u1edbi (trong v\u00f2ng m\u1ed9t s\u1ed1 n\u0103m nh\u1ea5t \u0111\u1ecbnh) tu\u00e2n theo quy lu\u1eadt logistic \u0111\u01b0\u1ee3c m\u00f4 h\u00ecnh ho\u00e1 b\u1eb1ng h\u00e0m s\u1ed1 $f(t) = \\dfrac{5000}{1 + 5e^{-t}}$, trong \u0111\u00f3 th\u1eddi gian $t$ \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng n\u0103m, k\u1ec3 t\u1eeb khi ph\u00e1t h\u00e0nh s\u1ea3n ph\u1ea9m m\u1edbi. Khi \u0111\u00f3, \u0111\u1ea1o h\u00e0m $f'(t)$ bi\u1ec3u th\u1ecb t\u1ed1c \u0111\u1ed9 b\u00e1n h\u00e0ng. H\u1ecfi sau khi ph\u00e1t h\u00e0nh bao nhi\u00eau n\u0103m th\u00ec t\u1ed1c \u0111\u1ed9 b\u00e1n h\u00e0ng l\u00e0 l\u1edbn nh\u1ea5t? (l\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng ph\u1ea7n ch\u1ee5c). \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"1,6\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-3\"> \n <\/span> \n <\/div>\n \n <div class=\"question\">\n <h2> M\u1ed9t c\u00f4ng ty chuy\u00ean s\u1ea3n xu\u1ea5t d\u1ee5ng c\u1ee5 th\u1ec3 thao nh\u1eadn \u0111\u01b0\u1ee3c \u0111\u01a1n \u0111\u1eb7t h\u00e0ng s\u1ea3n xu\u1ea5t $9000$ qu\u1ea3 b\u00f3ng r\u1ed5. C\u00f4ng ty c\u00f3 m\u1ed9t s\u1ed1 m\u00e1y m\u00f3c, m\u1ed7i m\u00e1y c\u00f3 kh\u1ea3 n\u0103ng s\u1ea3n xu\u1ea5t $36$ qu\u1ea3 b\u00f3ng r\u1ed5 trong m\u1ed9t gi\u1edd. Chi ph\u00ed thi\u1ebft l\u1eadp m\u1ed7i m\u00e1y l\u00e0 $250$ ngh\u00ecn \u0111\u1ed3ng. Sau khi thi\u1ebft l\u1eadp, qu\u00e1 tr\u00ecnh s\u1ea3n xu\u1ea5t s\u1ebd di\u1ec5n ra ho\u00e0n to\u00e0n t\u1ef1 \u0111\u1ed9ng v\u00e0 ch\u1ec9 c\u1ea7n c\u00f3 ng\u01b0\u1eddi gi\u00e1m s\u00e1t. Chi ph\u00ed tr\u1ea3 cho ng\u01b0\u1eddi gi\u00e1m s\u00e1t l\u00e0 $225$ ngh\u00ecn \u0111\u1ed3ng m\u1ed7i gi\u1edd. S\u1ed1 m\u00e1y m\u00f3c c\u00f4ng ty c\u1ea7n s\u1eed d\u1ee5ng \u0111\u1ec3 chi ph\u00ed ho\u1ea1t \u0111\u1ed9ng \u0111\u1ea1t m\u1ee9c th\u1ea5p nh\u1ea5t l\u00e0 bao nhi\u00eau? \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"15\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-4\"> \n <\/span> \n <\/div>\n \n<div class=\"question\">\n\t <h2> T\u1eeb m\u1ed9t tam gi\u00e1c \u0111\u1ec1u c\u00f3 di\u1ec7n t\u00edch b\u1eb1ng 1, ta th\u1ef1c hi\u1ec7n l\u1ea7n l\u01b0\u1ee3t c\u00e1c b\u01b0\u1edbc nh\u01b0 sau: \n\t\t\t\t<ul style=\"margin-top: 0; margin-bottom: 0;\">\n\t\t\t\t\t<li> B\u01b0\u1edbc 1: N\u1ed1i trung \u0111i\u1ec3m c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c \u0111\u00e3 cho, chia tam gi\u00e1c n\u00e0y th\u00e0nh 4 tam gi\u00e1c nh\u1ecf v\u00e0 b\u1ecf \u0111i tam gi\u00e1c \u1edf gi\u1eefa (b\u1ecf \u0111i 1 tam gi\u00e1c c\u00f3 di\u1ec7n t\u00edch $\\dfrac{1}{4}$). <\/li>\n\t\t\t\t\t<li> B\u01b0\u1edbc 2: L\u00e0m t\u01b0\u01a1ng t\u1ef1 nh\u01b0 B\u01b0\u1edbc 1 v\u1edbi m\u1ed7i tam gi\u00e1c trong 3 tam gi\u00e1c c\u00f2n l\u1ea1i (b\u1ecf \u0111i 3 tam gi\u00e1c, m\u1ed7i tam gi\u00e1c c\u00f3 di\u1ec7n t\u00edch $\\dfrac{1}{4^2}$). <\/li>\n\t\t\t\t\t<li> C\u1ee9 ti\u1ebfp t\u1ee5c qu\u00e1 tr\u00ecnh nh\u01b0 v\u1eady (\u1edf b\u01b0\u1edbc th\u1ee9 $n$, b\u1ecf \u0111i $3^{n-1}$ tam gi\u00e1c, m\u1ed7i tam gi\u00e1c c\u00f3 di\u1ec7n t\u00edch $\\dfrac{1}{4^n}$). T\u1ed5ng di\u1ec7n t\u00edch c\u00e1c tam gi\u00e1c \u0111\u00e3 b\u1ecf \u0111i b\u1eb1ng bao nhi\u00eau? <\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/h2>\n <div style=\"ustify-content: center;align-items: center;transform: scale(0.75)\">\n <img decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/uploads\/2024\/11\/fractan.png\"> \n <\/div>\n\t\t\t<span class=\"blank-container\"> \n\t\t\t <input type=\"text\" class=\"blank\" data-value=\"1\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> <\/span> \n\t\t\t <span class=\"preview\" id=\"preview-5\"> <\/span> \t\n\t \n\t \n\t <\/div>\n\t \n \n <div class=\"question\">\n <h2> Cho h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng $ABC.A’B’C’$ c\u00f3 tam gi\u00e1c $ABC$ vu\u00f4ng c\u00e2n t\u1ea1i $A$, v\u1edbi $AB = 1$, $AC = 5$, v\u00e0 $CC’ = 10$. Kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng $AC$ v\u00e0 $BC’$ b\u1eb1ng bao nhi\u00eau? (l\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng ph\u1ea7n tr\u0103m). \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"4,47\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-6\"> \n <\/span> \n <\/div>\n \n<\/div>\n\n\n<form id=\"scoreForm\">\n <label for=\"name\">T\u00ean:<\/label>\n <input type=\"text\" id=\"name\" name=\"name\" required><br><br> \n<\/form>\n<\/form>\n<button type=\"button\" id=\"submit-button\">N\u1ed9p b\u00e0i<\/button>\n<div id=\"result\"><\/div>\n\n<script>\n\/\/ Move this outside of calculateScore\nfunction updatePreview(input) {\n const previewElement = input.closest('.question').querySelector('.preview');\n const userAnswer = input.value.trim();\n previewElement.innerHTML = userAnswer ? `<p class=\"ql-center-displayed-equation\" style=\"line-height: 14px;\"><span class=\"ql-right-eqno\"> <\/span><span class=\"ql-left-eqno\"> <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-b33f90f17a54db694571edfd9c40f7cc_l3.svg\" height=\"14\" width=\"93\" class=\"ql-img-displayed-equation \" alt=\"\[${userAnswer}\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>` : '';\n renderMathInElement(previewElement);\n}\n\nfunction normalizeLatex(latex) {\n latex = latex.replace(\/\\s+\/g, ' ').trim();\n latex = latex.replace(\/\\\\dfrac{([^}]*)}{([^}]*)}\/g, (match, num, denom) => {\n return `\\\\dfrac{${num.trim()}}{${denom.trim()}}`;\n });\n latex = latex.replace(\/\\\\pm\/g, '\u00b1')\n .replace(\/\\\\sqrt{([^}]*)}\/g, '\u221a($1)')\n .replace(\/\\\\frac{([^}]*)}{([^}]*)}\/g, '($1)\/($2)')\n .replace(\/\\\\dfrac{([^}]*)}{([^}]*)}\/g, '($1)\/($2)');\n return latex;\n}\n\nlet totalScore = 0;\n\nfunction calculateScore() {\n totalScore = 0; \/\/ \u0110\u1eb7t l\u1ea1i \u0111i\u1ec3m tr\u01b0\u1edbc khi t\u00ednh to\u00e1n\n const sections = document.querySelectorAll('.section');\n\n \/\/ Part 1: Multiple Choice\n const question1 = sections[0].querySelectorAll('.question');\n question1.forEach(question => {\n const selectedRadio = question.querySelector('input[type=\"radio\"]:checked');\n if (selectedRadio && selectedRadio.dataset.value === \"true\") {\n totalScore+=2.5; \/\/ 2.5 point for each correct answer\n }\n });\n\n \/\/ Part 2: True\/False\n const question2 = sections[1].querySelectorAll('.question');\n question2.forEach(question => {\n let reasonableCount = 0;\n const checkboxes = question.querySelectorAll('input[type=\"checkbox\"]');\n checkboxes.forEach(checkbox => {\n const isChecked = checkbox.checked;\n const isTrueValue = checkbox.dataset.value === \"true\";\n if (isChecked && isTrueValue || !isChecked && !isTrueValue) {\n reasonableCount++;\n }\n });\n\t\tfunction calculatePoints(reasonableCount) {\n switch (reasonableCount) {\n case 1: return 1;\n case 2: return 2.5;\n case 3: return 5;\n case 4: return 10;\n default: return 0;\n }\n } \n totalScore += calculatePoints(reasonableCount);\n });\n\n \/\/ Part 3: Fill in the blanks\n const question3 = sections[2].querySelectorAll('.question');\n question3.forEach(question => {\n const blank = question.querySelector('input[type=\"text\"]');\n const userAnswer = normalizeLatex(blank.value.trim());\n const correctAnswer = normalizeLatex(blank.dataset.value.trim());\n if (userAnswer === correctAnswer) {\n totalScore += 5; \/\/ 5 points for each correct answer\n }\n });\n\n const maxScore = question1.length*2.5 + question2.length*10 + question3.length*5 ;\n document.getElementById('result').innerText = `T\u1ed5ng \u0111i\u1ec3m: ${totalScore} \/ ${maxScore}`;\n}\n\n\t\/\/ Attach event listener correctly\ndocument.getElementById('submit-button').addEventListener('click', function() {\n calculateScore(); \/\/ T\u00ednh \u0111i\u1ec3m\n\n const name = document.getElementById('name').value;\n\n \/\/ Ki\u1ec3m tra xem t\u00ean c\u00f3 \u0111\u01b0\u1ee3c nh\u1eadp v\u00e0 \u0111i\u1ec3m c\u00f3 h\u1ee3p l\u1ec7\n if (!name || totalScore === 0) {\n alert('Vui l\u00f2ng nh\u1eadp t\u00ean v\u00e0 ch\u1eafc ch\u1eafn r\u1eb1ng b\u1ea1n \u0111\u00e3 l\u00e0m b\u00e0i.');\n return; \/\/ Ng\u1eebng n\u1ebfu kh\u00f4ng h\u1ee3p l\u1ec7\n }\n\n \/\/ G\u1eedi d\u1eef li\u1ec7u \u0111\u1ebfn server\n fetch('https:\/\/script.google.com\/macros\/s\/AKfycbzHg2x_X-slmAnt2W8uyaDLz6dPr1o96E73Xc8MTlcz6N-uHLJ65DFTGwPI_MuU9X1-\/exec', {\n method: 'POST',\n headers: {\n 'Content-Type': 'application\/x-www-form-urlencoded',\n },\n body: `name=${encodeURIComponent(name)}&score=${encodeURIComponent(totalScore)}`\n })\n .then(response => response.text())\n .then(data => {\n alert('G\u1eedi th\u00e0nh c\u00f4ng!');\n document.getElementById('scoreForm').reset(); \/\/ \u0110\u1eb7t l\u1ea1i form sau khi g\u1eedi\n totalScore = 0; \/\/ \u0110\u1eb7t l\u1ea1i \u0111i\u1ec3m sau khi g\u1eedi\n document.getElementById('result').innerText = ''; \/\/ X\u00f3a k\u1ebft qu\u1ea3\n })\n .catch(error => console.error('L\u1ed7i:', error));\n});\t\n\n\n \/\/ \u0110\u1ebfm s\u1ed1 c\u00e2u h\u1ecfi trong t\u1eebng section\n const section1Count = document.querySelectorAll('#section-1 .question').length;\n const section2Count = document.querySelectorAll('#section-2 .question').length;\n const section3Count = document.querySelectorAll('#section-3 .question').length;\n\n \n \/\/ C\u1eadp nh\u1eadt counter-reset cho t\u1eebng section\n document.getElementById('section-2').style.setProperty('counter-reset', `question ${section1Count}`);\n document.getElementById('section-3').style.setProperty('counter-reset', `question ${section1Count + section2Count}`); \n\n \/\/ Thay \u0111\u1ed5i s\u1ed1 gi\u00e2y theo y\u00eau c\u1ea7u c\u1ee7a b\u1ea1n\n const totalTime = 5460; \/\/ Th\u1eddi gian t\u1ed5ng c\u1ed9ng cho b\u00e0i test (600 gi\u00e2y = 10 ph\u00fat)\n let timeLeft = totalTime;\n\n const timerElement = document.getElementById('timer');\n\n function updateTimer() {\n const minutes = Math.floor(timeLeft \/ 60);\n const seconds = timeLeft % 60;\n timerElement.innerText = `Th\u1eddi gian c\u00f2n l\u1ea1i: ${minutes}:${seconds < 91 ? '' : '0'}${seconds}`;\n \n if (timeLeft > 0) {\n timeLeft--;\n } else {\n clearInterval(timerInterval);\n alert(\"Th\u1eddi gian \u0111\u00e3 h\u1ebft! B\u00e0i test s\u1ebd t\u1ef1 \u0111\u1ed9ng n\u1ed9p.\");\n document.getElementById('quiz-form').submit(); \/\/ T\u1ef1 \u0111\u1ed9ng n\u1ed9p b\u00e0i test\n }\n }\n\n const timerInterval = setInterval(updateTimer, 1000); \/\/ C\u1eadp nh\u1eadt m\u1ed7i gi\u00e2y\n\n<\/script>\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>z B\u00e0i Test Tr\u1eafc Nghi\u1ec7m 1. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $3^x = 81$ l\u00e0 4. 2. 3. 9. C\u1eb7p s\u1ed1 nh\u00e2n $(u_n)$ c\u00f3 $u_1 = 2$ v\u00e0 $u_2 = -4$. S\u1ed1 h\u1ea1ng $u_6$ c\u1ee7a c\u1ea5p s\u1ed1 nh\u00e2n l\u00e0 $-64$. $128$. $128$. $64$. Cho h\u00ecnh h\u1ed9p $ABCD.A’B’C’D’$. Ph\u00e1t bi\u1ec3u n\u00e0o […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-896","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/896","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=896"}],"version-history":[{"count":47,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/896\/revisions"}],"predecessor-version":[{"id":960,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/896\/revisions\/960"}],"wp:attachment":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=896"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=896"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=896"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":896,"date":"2024-11-13T20:32:36","date_gmt":"2024-11-13T13:32:36","guid":{"rendered":"https:\/\/sunflower-math.com\/?p=896"},"modified":"2024-11-18T15:40:56","modified_gmt":"2024-11-18T08:40:56","slug":"dd","status":"publish","type":"post","link":"https:\/\/sunflower-math.com\/?p=896","title":{"rendered":"\u0110\u1ec1 ki\u1ec3m tra gi\u1eefa k\u00ec 1-to\u00e1n 12"},"content":{"rendered":"\n\n\n\n z\n \n B\u00e0i Test Tr\u1eafc Nghi\u1ec7m<\/title>\n <link href=\"https:\/\/fonts.googleapis.com\/css2?family=Latin+Modern:wght@400&display=swap\" rel=\"stylesheet\"> \n \n <link rel=\"stylesheet\" type=\"text\/css\" href=\"https:\/\/tikzjax.com\/v1\/fonts.css\">\n <script src=\"https:\/\/tikzjax.com\/v1\/tikzjax.js\"><\/script>\n \n \n \n <link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.css\" \n integrity=\"sha384-nB0miv6\/jRmo5UMMR1wu3Gz6NLsoTkbqJghGIsx\/\/Rlm+ZU03BU6SQNC66uf4l5+\" \n crossorigin=\"anonymous\">\n \n <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\" \n integrity=\"sha384-7zkQWkzuo3B5mTepMUcHkMB5jZaolc2xDwL6VFqjFALcbeS9Ggm\/Yr2r3Dy4lfFg\" \n crossorigin=\"anonymous\"><\/script>\n \n <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/contrib\/auto-render.min.js\" \n integrity=\"sha384-43gviWU0YVjaDtb\/GhzOouOXtZMP\/7XUzwPTstBeZFe\/+rCMvRwr4yROQP43s0Xk\" \n crossorigin=\"anonymous\"\n onload=\"renderMathInElement(document.body); \n renderMathInElement(document.body, {\n delimiters: [\n {left: '<p class=\"ql-center-displayed-equation\" style=\"line-height: 20px;\"><span class=\"ql-right-eqno\"> <\/span><span class=\"ql-left-eqno\"> <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-77baa04537073105b02318b995c7964b_l3.svg\" height=\"20\" width=\"70\" class=\"ql-img-displayed-equation \" alt=\"\[', right: '\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>', display: true},\n {left: '$', right: '$', display: false}\n ]\n });\"><\/script>\n \n\t<script>\n document.addEventListener(\"DOMContentLoaded\", function() {\n tikzjax.render(document.body);\n });\n <\/script>\n <style> \n body {\n font-family: 'Palatyno';\n line-height: 1.5;\n font-size: 19px;\n } \n .question {\n \n counter-increment: question;\n \/* border: 2px solid #4CAF50; \u0110\u01b0\u1eddng vi\u1ec1n m\u00e0u xanh l\u00e1 c\u00e2y *\/\n background-color: #ebfab4; \/* M\u00e0u n\u1ec1n nh\u1ea1t *\/\n padding: 5px; \/* Kho\u1ea3ng c\u00e1ch b\u00ean trong *\/\n margin: 10px 0; \/* Kho\u1ea3ng c\u00e1ch b\u00ean ngo\u00e0i *\/\n border-radius: 8px; \/* Bo g\u00f3c cho \u0111\u01b0\u1eddng vi\u1ec1n *\/\n }\n .question::before {\n content: \"C\u00e2u \" counter(question) \". \";\n font-weight: bold;\n display: inline;\n }\n h2 {\n font-size: 19px;\n font-weight: normal;\n margin-bottom: 0;\n display: inline;\n }\n .options {\n margin-top: 0;\n }\n .options label { font-size: 19px;\n display: block;\n margin: 3px 0;\n }\n .column-1 .options {\n display: block;\n }\n .column-2 .options {\n column-count: 2;\n column-gap: 8px;\n }\n .column-4 .options {\n column-count: 4;\n column-gap: 8px;\n } \n \n input[type=\"radio\"] {\n appearance: none;\n width: 15px;\n height: 15px;\n border: 2px solid #333;\n border-radius: 50%;\n background-color: white;\n cursor: pointer;\n outline: none; \n \n \n }\n input[type=\"checkbox\"] {\n appearance: none;\n width: 20px;\n height: 20px;\n border: 2px solid #333;\n background-color: white;\n cursor: pointer;\n outline: none;\n }\n input[type=\"radio\"]:checked, input[type=\"checkbox\"]:checked {\n background-color: #99ce34;\n }\n .blank-container {\n display: inline-flex;\n align-items: center;\n margin-left: 10px;\n }\n .blank {\n border-bottom: 1px solid #333;\n width: 200px;\n text-align: center;\n }\n #result {\n margin-top: 20px;\n font-weight: bold;\n }\n .katex {\n font-size: 19px; \/* \u0110i\u1ec1u ch\u1ec9nh gi\u00e1 tr\u1ecb n\u00e0y \u0111\u1ec3 t\u0103ng\/gi\u1ea3m k\u00edch th\u01b0\u1edbc c\u00f4ng th\u1ee9c *\/\n ; \/* Thay \u0111\u1ed5i font ch\u1eef \u1edf \u0111\u00e2y *\/ \n }\n \n <\/style>\n<\/head>\n<body>\n\n<div id=\"timer\" style=\"font-size: 24px; text-align: center; margin-bottom: 20px;\"><\/div> \n<h1 font-size: 15px; font-weight: bold; color: #333> 1. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn <\/h1> \n<div class=\"section\" id=\"section-1\">\n <div class=\"question column-4\">\n <h2> Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $3^x = 81$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question1\"> 4. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> 2. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> 3. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> 9. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> C\u1eb7p s\u1ed1 nh\u00e2n $(u_n)$ c\u00f3 $u_1 = 2$ v\u00e0 $u_2 = -4$. S\u1ed1 h\u1ea1ng $u_6$ c\u1ee7a c\u1ea5p s\u1ed1 nh\u00e2n l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question2\"> $-64$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> $128$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> $128$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> $64$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Cho h\u00ecnh h\u1ed9p $ABCD.A’B’C’D’$. Ph\u00e1t bi\u1ec3u n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question3\"> $ \\overrightarrow{BA} + \\overrightarrow{BC} + \\overrightarrow{BB’} = \\overrightarrow{BD’}$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> $\\overrightarrow{BA} + \\overrightarrow{BD} + \\overrightarrow{BB’} = \\overrightarrow{BD’}$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> $\\overrightarrow{BA’} + \\overrightarrow{BC} + \\overrightarrow{BB’} = \\overrightarrow{BD’}$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> $\\overrightarrow{AB} + \\overrightarrow{CB} + \\overrightarrow{BB’} = \\overrightarrow{BD’}$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Ti\u1ec7m c\u1eadn xi\u00ean c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $y = \\dfrac{x^2 – 2x + 4}{x-3}$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question4\"> $M (2024; 2025)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $Q (2027; 2024)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $N (2025; 2022)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $P (2024; 2024)$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Th\u1eddi gian truy c\u1eadp Internet m\u1ed7i bu\u1ed5i t\u1ed1i c\u1ee7a m\u1ed9t s\u1ed1 h\u1ecdc sinh \u0111\u01b0\u1ee3c cho trong b\u1ea3ng sau:\n <div style=\"text-align: center;\">\n $\\scriptsize\n \\begin{array}{|c| c| c | c| c| c|}\n \\hline\n \\text{Th\u1eddi gian (ph\u00fat)} & [9{,}5;12{,}5) & [12{,}5;15{,}5) & [15{,}5;18{,}5) & [18{,}5;2{1,}5) & [21{,}5;24{,}5)\\\\\n \\hline\n \\text{S\u1ed1 h\u1ecdc sinh} & 3 & 12 & 15 & 24 & 2\\\\\n \\hline\n \\end{array}\n $\n <\/div>\n T\u1ee9 ph\u1ea7n th\u1ee9 v\u1ecb $Q_2$ c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u gh\u00e9p nh\u00f3m tr\u00ean b\u1eb1ng: <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $18{,1}$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $15{,}25$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $21$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question5\"> $20$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Ti\u1ec7m c\u1eadn ngang c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $y = \\dfrac{4x + 2}{2x – 1}$ l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng: <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $y = 4$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $y = \\dfrac{-1}{2}$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question6\"> $y = 2$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $y = – 5$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh $\\ln(9-x) < 0$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $[8; +\\infty)$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question7\"> $[8, 9)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $(- \\infty, 8)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $(- \\infty, 9)$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> \u0110\u01b0\u1eddng cong \u1edf h\u00ecnh sau l\u00e0 \u0111\u1ed3 th\u1ecb c\u1ee7a m\u1ed9t trong b\u1ed1n h\u00e0m s\u1ed1 d\u01b0\u1edbi \u0111\u00e2y. H\u00e0m s\u1ed1 \u0111\u00f3 l\u00e0 h\u00e0m n\u00e0o?\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 15px 0;transform: scale(1.15);\">\n <script type=\"text\/tikz\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-163f89b8d9991e130e637d2fc2529acd_l3.svg\" height=\"269\" width=\"294\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/script>\n <\/div>\n <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $y = x^3 – 3x + 2$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question8\"> $y = x^3 – 3x^2 + 2$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $y = x^3 – 6x + 2$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $y = -x^3 + 3x^2 + 2$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> S\u1ed1 giao \u0111i\u1ec3m c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $y = x^2 + 3x – 2$ v\u1edbi tr\u1ee5c Ox l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question9\"> 2. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> 3. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> 1. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> 0. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Cho h\u00e0m s\u1ed1 $y=f(x)$ c\u00f3 bbt nh\u01b0 sau:\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 15px 0;transform: scale(1.3);\">\n <script type=\"text\/tikz\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-a457a078ec080d462da8056bf41d81b0_l3.svg\" height=\"157\" width=\"431\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/script>\n <\/div>\n Gi\u00e1 tr\u1ecb c\u1ef1c \u0111\u1ea1i c\u1ee7a h\u00e0m s\u1ed1 $y = f(x)$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question10\"> $0$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> $1$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> $-3$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> $5$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 $y = f(x) = x^3+3x-6$ tr\u00ean \u0111o\u1ea1n $[1;3]$ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $-39$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question11\"> $-2$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $-10$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $-6$. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2> Cho h\u00e0m s\u1ed1 $y=f(x)$ c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau:\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 15px 0;transform: scale(1.3);\">\n <script type=\"text\/tikz\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-fc33f11f22ec303419383bb3cff4a3f1_l3.svg\" height=\"157\" width=\"431\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/script>\n <\/div>\n H\u00e0m s\u1ed1 \u0111\u00e3 cho ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng n\u00e0o d\u01b0\u1edbi \u0111\u00e2y? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $(- \\infty; 1)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $(-2; 3)$. <\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $(-1; 0)$. <\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question12\"> $(0; 1)$. <\/label>\n <\/div>\n <\/div>\n \n<\/div>\n\n\n \n<h1 font-size: 15px; font-weight: bold; color: #333>2. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111\u00fang sai <\/h1> \n<div class=\"section\" id=\"section-2\">\n <div class=\"question\">\n <h2> Cho h\u00e0m s\u1ed1 $f(x) = x \\sin x – x$. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> \u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 \u0111\u00e3 cho l\u00e0 $f'(x) = \\cos x – 1$ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question13\"> Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $f'(x) = 0$ tr\u00ean \u0111o\u1ea1n $\\left[\\dfrac{\\pi}{2}, \\dfrac{3\\pi}{2}\\right]$ l\u00e0 $\\pi$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a $f(x)$ tr\u00ean \u0111o\u1ea1n $\\left[\\dfrac{\\pi}{2}, \\dfrac{3\\pi}{2}\\right]$ l\u00e0 $\\dfrac{\\pi – 1}{2}$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> $f(0) = 0; f(\\pi) = -\\pi$ <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question\">\n <h2> M\u1ed9t t\u00e0u \u0111\u1ed5 b\u1ed9 ti\u1ebfp c\u1eadn M\u1eb7t Tr\u0103ng theo c\u00e1ch ti\u1ebfp c\u1eadn th\u1eb3ng \u0111\u1ee9ng v\u00e0 \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m \u1edf \u0111\u1ed9 cao 250 km so v\u1edbi b\u1ec1 m\u1eb7t c\u1ee7a M\u1eb7t Tr\u0103ng. Trong kho\u1ea3ng 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, \u0111\u1ed9 cao $h$ c\u1ee7a con t\u00e0u so v\u1edbi b\u1ec1 m\u1eb7t c\u1ee7a M\u1eb7t Tr\u0103ng \u0111\u01b0\u1ee3c t\u00ednh (g\u1ea7n \u0111\u00fang) b\u1edfi h\u00e0m $h(t) = -0{,}01t^3 + 1{,}1t^2 – 30t + 250$ trong \u0111\u00f3 $t$ l\u00e0 th\u1eddi gian t\u00ednh b\u1eb1ng gi\u00e2y v\u00e0 $h$ l\u00e0 \u0111\u1ed9 cao t\u00ednh b\u1eb1ng kilomet. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question14\"> Trong 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, \u0111\u1ed9 cao l\u1edbn nh\u1ea5t m\u00e0 con t\u00e0u \u0111\u1ea1t \u0111\u01b0\u1ee3c l\u00e0 250 km <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question14\"> Trong 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, \u0111\u1ed9 cao con t\u00e0u \u0111\u1ea1t \u0111\u01b0\u1ee3c khi v\u1eadn t\u1ed1c c\u1ee7a con t\u00e0u l\u1edbn nh\u1ea5t l\u00e0 139{,}37 km <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question14\"> Trong 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, v\u1eadn t\u1ed1c l\u1edbn nh\u1ea5t c\u1ee7a con t\u00e0u l\u00e0 $v \\approx 10{,}33$ km\/s <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question14\"> Trong 50 gi\u00e2y \u0111\u1ea7u ti\u00ean k\u1ec3 t\u1eeb khi \u0111\u1ed1t ch\u00e1y c\u00e1c t\u00ean l\u1eeda h\u00e3m, \u0111\u1ed9 cao th\u1ea5p nh\u1ea5t m\u00e0 con t\u00e0u \u0111\u1ea1t \u0111\u01b0\u1ee3c t\u1ea1i th\u1eddi \u0111i\u1ec3m $t \\approx 25$ s <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question\">\n <h2> M\u1ed9t nh\u00e0 s\u1ea3n xu\u1ea5t trung b\u00ecnh b\u00e1n \u0111\u01b0\u1ee3c 1500 ti vi m\u00e0n h\u00ecnh ph\u1eb3ng m\u1ed7i tu\u1ea7n v\u1edbi gi\u00e1 15 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 600 ngh\u00ecn \u0111\u1ed3ng, s\u1ed1 l\u01b0\u1ee3ng ti vi b\u00e1n ra s\u1ebd t\u0103ng th\u00eam kho\u1ea3ng 120 ti vi m\u1ed7i tu\u1ea7n. G\u1ecdi $p$ (tri\u1ec7u \u0111\u1ed3ng) l\u00e0 gi\u00e1 c\u1ee7a m\u1ed7i ti vi, $x$ l\u00e0 s\u1ed1 ti vi. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> N\u1ebfu h\u00e0m chi ph\u00ed h\u1eb1ng tu\u1ea7n l\u00e0 $C(x) = \\dfrac{12000}{7} – 2x$ (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 9,5 tri\u1ec7u \u0111\u1ed3ng th\u00ec l\u1ee3i nhu\u1eadn l\u00e0 l\u1edbn nh\u1ea5t <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question15\"> C\u00f4ng ty gi\u1ea3m gi\u00e1 3,5 tri\u1ec7u \u0111\u1ed3ng cho ng\u01b0\u1eddi mua th\u00ec doanh thu c\u1ee7a c\u00f4ng ty s\u1ebd l\u1edbn nh\u1ea5t <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question15\"> T\u1ed5ng doanh thu t\u1eeb ti\u1ec1n b\u00e1n ti vi l\u00e0 $f(p) = 2200p – 450p^2$ (tri\u1ec7u \u0111\u1ed3ng) <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> H\u00e0m c\u1ea7u l\u00e0 $P = 200 – \\dfrac{1}{45}x + \\dfrac{2}{x}$ (tri\u1ec7u \u0111\u1ed3ng) <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question\">\n <h2> N\u1ed3ng \u0111\u1ed9 thu\u1ed1c $C(t)$ t\u00ednh theo mg\/cm$^3$ trong m\u00e1u c\u1ee7a b\u1ec7nh nh\u00e2n \u0111\u01b0\u1ee3c t\u00ednh b\u1edfi $C(t) = \\dfrac{0{,}05t}{1 + t + t^2}$ trong \u0111\u00f3 $t$ l\u00e0 th\u1eddi gian t\u00ednh theo gi\u1edd k\u1ec3 t\u1eeb khi ti\u00eam cho b\u1ec7nh nh\u00e2n. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question16\"> C\u00f3 th\u1eddi \u0111i\u1ec3m n\u1ed3ng \u0111\u1ed9 thu\u1ed1c trong m\u00e1u c\u1ee7a b\u1ec7nh nh\u00e2n \u0111\u1ea1t 30{,}02 mg\/cm$^3$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question16\"> N\u1ed3ng \u0111\u1ed9 thu\u1ed1c trong m\u00e1u l\u1edbn nh\u1ea5t \u1edf th\u1eddi \u0111i\u1ec3m 1 gi\u1edd sau khi ti\u00eam <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question16\"> H\u00e0m s\u1ed1 $C(t)$ c\u00f3 \u0111\u1ea1o h\u00e0m l\u00e0 $C'(t) = \\dfrac{1 – t^2}{20(1 + t + t^2)}$, v\u1edbi $t \\geq 0$ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question16\"> Sau khi ti\u00eam, n\u1ed3ng \u0111\u1ed9 thu\u1ed1c trong m\u00e1u c\u1ee7a b\u1ec7nh nh\u00e2n gi\u1ea3m d\u1ea7n theo th\u1eddi gian <\/label>\n <\/div>\n <\/div>\n \n<\/div>\n\n\n \n<h1 font-size: 15px; ; color: #333> 3. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111i\u1ec1n khuy\u1ebft <\/h1> \n<div class=\"section\" id=\"section-3\">\n <div class=\"question\">\n <h2> M\u1ed9t b\u1ec3 ban \u0111\u1ea7u ch\u1ee9a 160 l\u00edt n\u01b0\u1edbc. Sau \u0111\u00f3, c\u1ee9 m\u1ed7i ph\u00fat ng\u01b0\u1eddi ta b\u01a1m th\u00eam 60 l\u00edt n\u01b0\u1edbc v\u00e0o b\u1ec3, \u0111\u1ed3ng th\u1eddi cho v\u00e0o b\u1ec3 21 gam ch\u1ea5t kh\u1eed tr\u00f9ng (h\u00f2a tan). \u0110\u1eb7t $f(t)$ (gam\/l\u00edt) l\u00e0 n\u1ed3ng \u0111\u1ed9 ch\u1ea5t kh\u1eed tr\u00f9ng trong b\u1ec3 sau $t$ ph\u00fat $(t \\geq 0)$, bi\u1ebft r\u1eb1ng sau khi kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean c\u1ee7a h\u00e0m s\u1ed1 $f(t)$, ta th\u1ea5y gi\u00e1 tr\u1ecb $f(t)$ t\u0103ng theo $t$ nh\u01b0ng kh\u00f4ng v\u01b0\u1ee3t ng\u01b0\u1ee1ng $p$ gam\/l\u00edt. T\u00ecm s\u1ed1 $p$. \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"0,35\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-1\"> \n <\/span> \n <\/div>\n \n <div class=\"question\">\n <h2> Chi ph\u00ed xu\u1ea5t b\u1ea3n $x$ cu\u1ed1n t\u1ea1p ch\u00ed (bao g\u1ed3m: l\u01b0\u01a1ng c\u00e1n b\u1ed9, c\u00f4ng nh\u00e2n vi\u00ean, gi\u1ea5y in\u2026) \u0111\u01b0\u1ee3c cho b\u1edfi $C(x) = x^2-2000x+10^8$ \u0111\u1ed3ng. Chi ph\u00ed ph\u00e1t h\u00e0nh cho m\u1ed7i cu\u1ed1n l\u00e0 4 ngh\u00ecn \u0111\u1ed3ng. $M(x) = \\dfrac{T(x)}{x}$ v\u1edbi $T(x)$ l\u00e0 t\u1ed5ng chi ph\u00ed (xu\u1ea5t b\u1ea3n v\u00e0 ph\u00e1t h\u00e0nh) cho $x$ cu\u1ed1n t\u1ea1p ch\u00ed, \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 chi ph\u00ed trung b\u00ecnh cho m\u1ed9t cu\u1ed1n t\u1ea1p ch\u00ed khi xu\u1ea5t b\u1ea3n $x$ cu\u1ed1n. Khi s\u1ed1 l\u01b0\u1ee3ng cu\u1ed1n t\u1ea1p ch\u00ed ph\u00e1t h\u00e0nh c\u1ef1c l\u1edbn th\u00ec chi ph\u00ed trung b\u00ecnh cho m\u1ed7i cu\u1ed1n t\u1ea1p ch\u00ed $M(x)$ s\u1ebd ti\u1ec7m c\u1eadn v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh d\u1ea1ng $y = ax + b$. T\u00ednh $P = 68a + 3b + 800$. \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"6868\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-2\"> \n <\/span> \n <\/div>\n \n <div class=\"question\">\n <h2> Gi\u1ea3 s\u1eed doanh s\u1ed1 (t\u00ednh b\u1eb1ng s\u1ed1 s\u1ea3n ph\u1ea9m) c\u1ee7a m\u1ed9t s\u1ea3n ph\u1ea9m m\u1edbi (trong v\u00f2ng m\u1ed9t s\u1ed1 n\u0103m nh\u1ea5t \u0111\u1ecbnh) tu\u00e2n theo quy lu\u1eadt logistic \u0111\u01b0\u1ee3c m\u00f4 h\u00ecnh ho\u00e1 b\u1eb1ng h\u00e0m s\u1ed1 $f(t) = \\dfrac{5000}{1 + 5e^{-t}}$, trong \u0111\u00f3 th\u1eddi gian $t$ \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng n\u0103m, k\u1ec3 t\u1eeb khi ph\u00e1t h\u00e0nh s\u1ea3n ph\u1ea9m m\u1edbi. Khi \u0111\u00f3, \u0111\u1ea1o h\u00e0m $f'(t)$ bi\u1ec3u th\u1ecb t\u1ed1c \u0111\u1ed9 b\u00e1n h\u00e0ng. H\u1ecfi sau khi ph\u00e1t h\u00e0nh bao nhi\u00eau n\u0103m th\u00ec t\u1ed1c \u0111\u1ed9 b\u00e1n h\u00e0ng l\u00e0 l\u1edbn nh\u1ea5t? (l\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng ph\u1ea7n ch\u1ee5c). \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"1,6\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-3\"> \n <\/span> \n <\/div>\n \n <div class=\"question\">\n <h2> M\u1ed9t c\u00f4ng ty chuy\u00ean s\u1ea3n xu\u1ea5t d\u1ee5ng c\u1ee5 th\u1ec3 thao nh\u1eadn \u0111\u01b0\u1ee3c \u0111\u01a1n \u0111\u1eb7t h\u00e0ng s\u1ea3n xu\u1ea5t $9000$ qu\u1ea3 b\u00f3ng r\u1ed5. C\u00f4ng ty c\u00f3 m\u1ed9t s\u1ed1 m\u00e1y m\u00f3c, m\u1ed7i m\u00e1y c\u00f3 kh\u1ea3 n\u0103ng s\u1ea3n xu\u1ea5t $36$ qu\u1ea3 b\u00f3ng r\u1ed5 trong m\u1ed9t gi\u1edd. Chi ph\u00ed thi\u1ebft l\u1eadp m\u1ed7i m\u00e1y l\u00e0 $250$ ngh\u00ecn \u0111\u1ed3ng. Sau khi thi\u1ebft l\u1eadp, qu\u00e1 tr\u00ecnh s\u1ea3n xu\u1ea5t s\u1ebd di\u1ec5n ra ho\u00e0n to\u00e0n t\u1ef1 \u0111\u1ed9ng v\u00e0 ch\u1ec9 c\u1ea7n c\u00f3 ng\u01b0\u1eddi gi\u00e1m s\u00e1t. Chi ph\u00ed tr\u1ea3 cho ng\u01b0\u1eddi gi\u00e1m s\u00e1t l\u00e0 $225$ ngh\u00ecn \u0111\u1ed3ng m\u1ed7i gi\u1edd. S\u1ed1 m\u00e1y m\u00f3c c\u00f4ng ty c\u1ea7n s\u1eed d\u1ee5ng \u0111\u1ec3 chi ph\u00ed ho\u1ea1t \u0111\u1ed9ng \u0111\u1ea1t m\u1ee9c th\u1ea5p nh\u1ea5t l\u00e0 bao nhi\u00eau? \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"15\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-4\"> \n <\/span> \n <\/div>\n \n<div class=\"question\">\n\t <h2> T\u1eeb m\u1ed9t tam gi\u00e1c \u0111\u1ec1u c\u00f3 di\u1ec7n t\u00edch b\u1eb1ng 1, ta th\u1ef1c hi\u1ec7n l\u1ea7n l\u01b0\u1ee3t c\u00e1c b\u01b0\u1edbc nh\u01b0 sau: \n\t\t\t\t<ul style=\"margin-top: 0; margin-bottom: 0;\">\n\t\t\t\t\t<li> B\u01b0\u1edbc 1: N\u1ed1i trung \u0111i\u1ec3m c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c \u0111\u00e3 cho, chia tam gi\u00e1c n\u00e0y th\u00e0nh 4 tam gi\u00e1c nh\u1ecf v\u00e0 b\u1ecf \u0111i tam gi\u00e1c \u1edf gi\u1eefa (b\u1ecf \u0111i 1 tam gi\u00e1c c\u00f3 di\u1ec7n t\u00edch $\\dfrac{1}{4}$). <\/li>\n\t\t\t\t\t<li> B\u01b0\u1edbc 2: L\u00e0m t\u01b0\u01a1ng t\u1ef1 nh\u01b0 B\u01b0\u1edbc 1 v\u1edbi m\u1ed7i tam gi\u00e1c trong 3 tam gi\u00e1c c\u00f2n l\u1ea1i (b\u1ecf \u0111i 3 tam gi\u00e1c, m\u1ed7i tam gi\u00e1c c\u00f3 di\u1ec7n t\u00edch $\\dfrac{1}{4^2}$). <\/li>\n\t\t\t\t\t<li> C\u1ee9 ti\u1ebfp t\u1ee5c qu\u00e1 tr\u00ecnh nh\u01b0 v\u1eady (\u1edf b\u01b0\u1edbc th\u1ee9 $n$, b\u1ecf \u0111i $3^{n-1}$ tam gi\u00e1c, m\u1ed7i tam gi\u00e1c c\u00f3 di\u1ec7n t\u00edch $\\dfrac{1}{4^n}$). T\u1ed5ng di\u1ec7n t\u00edch c\u00e1c tam gi\u00e1c \u0111\u00e3 b\u1ecf \u0111i b\u1eb1ng bao nhi\u00eau? <\/li>\n\t\t\t\t<\/ul>\n\t\t\t<\/h2>\n <div style=\"ustify-content: center;align-items: center;transform: scale(0.75)\">\n <img decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/uploads\/2024\/11\/fractan.png\"> \n <\/div>\n\t\t\t<span class=\"blank-container\"> \n\t\t\t <input type=\"text\" class=\"blank\" data-value=\"1\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> <\/span> \n\t\t\t <span class=\"preview\" id=\"preview-5\"> <\/span> \t\n\t \n\t \n\t <\/div>\n\t \n \n <div class=\"question\">\n <h2> Cho h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng $ABC.A’B’C’$ c\u00f3 tam gi\u00e1c $ABC$ vu\u00f4ng c\u00e2n t\u1ea1i $A$, v\u1edbi $AB = 1$, $AC = 5$, v\u00e0 $CC’ = 10$. Kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng $AC$ v\u00e0 $BC’$ b\u1eb1ng bao nhi\u00eau? (l\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng ph\u1ea7n tr\u0103m). \n <\/h2>\n <span class=\"blank-container\"> \n <input type=\"text\" class=\"blank\" data-value=\"4,47\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\"> \n <\/span> \n <span class=\"preview\" id=\"preview-6\"> \n <\/span> \n <\/div>\n \n<\/div>\n\n\n<form id=\"scoreForm\">\n <label for=\"name\">T\u00ean:<\/label>\n <input type=\"text\" id=\"name\" name=\"name\" required><br><br> \n<\/form>\n<\/form>\n<button type=\"button\" id=\"submit-button\">N\u1ed9p b\u00e0i<\/button>\n<div id=\"result\"><\/div>\n\n<script>\n\/\/ Move this outside of calculateScore\nfunction updatePreview(input) {\n const previewElement = input.closest('.question').querySelector('.preview');\n const userAnswer = input.value.trim();\n previewElement.innerHTML = userAnswer ? `<p class=\"ql-center-displayed-equation\" style=\"line-height: 14px;\"><span class=\"ql-right-eqno\"> <\/span><span class=\"ql-left-eqno\"> <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-b33f90f17a54db694571edfd9c40f7cc_l3.svg\" height=\"14\" width=\"93\" class=\"ql-img-displayed-equation \" alt=\"\[${userAnswer}\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>` : '';\n renderMathInElement(previewElement);\n}\n\nfunction normalizeLatex(latex) {\n latex = latex.replace(\/\\s+\/g, ' ').trim();\n latex = latex.replace(\/\\\\dfrac{([^}]*)}{([^}]*)}\/g, (match, num, denom) => {\n return `\\\\dfrac{${num.trim()}}{${denom.trim()}}`;\n });\n latex = latex.replace(\/\\\\pm\/g, '\u00b1')\n .replace(\/\\\\sqrt{([^}]*)}\/g, '\u221a($1)')\n .replace(\/\\\\frac{([^}]*)}{([^}]*)}\/g, '($1)\/($2)')\n .replace(\/\\\\dfrac{([^}]*)}{([^}]*)}\/g, '($1)\/($2)');\n return latex;\n}\n\nlet totalScore = 0;\n\nfunction calculateScore() {\n totalScore = 0; \/\/ \u0110\u1eb7t l\u1ea1i \u0111i\u1ec3m tr\u01b0\u1edbc khi t\u00ednh to\u00e1n\n const sections = document.querySelectorAll('.section');\n\n \/\/ Part 1: Multiple Choice\n const question1 = sections[0].querySelectorAll('.question');\n question1.forEach(question => {\n const selectedRadio = question.querySelector('input[type=\"radio\"]:checked');\n if (selectedRadio && selectedRadio.dataset.value === \"true\") {\n totalScore+=2.5; \/\/ 2.5 point for each correct answer\n }\n });\n\n \/\/ Part 2: True\/False\n const question2 = sections[1].querySelectorAll('.question');\n question2.forEach(question => {\n let reasonableCount = 0;\n const checkboxes = question.querySelectorAll('input[type=\"checkbox\"]');\n checkboxes.forEach(checkbox => {\n const isChecked = checkbox.checked;\n const isTrueValue = checkbox.dataset.value === \"true\";\n if (isChecked && isTrueValue || !isChecked && !isTrueValue) {\n reasonableCount++;\n }\n });\n\t\tfunction calculatePoints(reasonableCount) {\n switch (reasonableCount) {\n case 1: return 1;\n case 2: return 2.5;\n case 3: return 5;\n case 4: return 10;\n default: return 0;\n }\n } \n totalScore += calculatePoints(reasonableCount);\n });\n\n \/\/ Part 3: Fill in the blanks\n const question3 = sections[2].querySelectorAll('.question');\n question3.forEach(question => {\n const blank = question.querySelector('input[type=\"text\"]');\n const userAnswer = normalizeLatex(blank.value.trim());\n const correctAnswer = normalizeLatex(blank.dataset.value.trim());\n if (userAnswer === correctAnswer) {\n totalScore += 5; \/\/ 5 points for each correct answer\n }\n });\n\n const maxScore = question1.length*2.5 + question2.length*10 + question3.length*5 ;\n document.getElementById('result').innerText = `T\u1ed5ng \u0111i\u1ec3m: ${totalScore} \/ ${maxScore}`;\n}\n\n\t\/\/ Attach event listener correctly\ndocument.getElementById('submit-button').addEventListener('click', function() {\n calculateScore(); \/\/ T\u00ednh \u0111i\u1ec3m\n\n const name = document.getElementById('name').value;\n\n \/\/ Ki\u1ec3m tra xem t\u00ean c\u00f3 \u0111\u01b0\u1ee3c nh\u1eadp v\u00e0 \u0111i\u1ec3m c\u00f3 h\u1ee3p l\u1ec7\n if (!name || totalScore === 0) {\n alert('Vui l\u00f2ng nh\u1eadp t\u00ean v\u00e0 ch\u1eafc ch\u1eafn r\u1eb1ng b\u1ea1n \u0111\u00e3 l\u00e0m b\u00e0i.');\n return; \/\/ Ng\u1eebng n\u1ebfu kh\u00f4ng h\u1ee3p l\u1ec7\n }\n\n \/\/ G\u1eedi d\u1eef li\u1ec7u \u0111\u1ebfn server\n fetch('https:\/\/script.google.com\/macros\/s\/AKfycbzHg2x_X-slmAnt2W8uyaDLz6dPr1o96E73Xc8MTlcz6N-uHLJ65DFTGwPI_MuU9X1-\/exec', {\n method: 'POST',\n headers: {\n 'Content-Type': 'application\/x-www-form-urlencoded',\n },\n body: `name=${encodeURIComponent(name)}&score=${encodeURIComponent(totalScore)}`\n })\n .then(response => response.text())\n .then(data => {\n alert('G\u1eedi th\u00e0nh c\u00f4ng!');\n document.getElementById('scoreForm').reset(); \/\/ \u0110\u1eb7t l\u1ea1i form sau khi g\u1eedi\n totalScore = 0; \/\/ \u0110\u1eb7t l\u1ea1i \u0111i\u1ec3m sau khi g\u1eedi\n document.getElementById('result').innerText = ''; \/\/ X\u00f3a k\u1ebft qu\u1ea3\n })\n .catch(error => console.error('L\u1ed7i:', error));\n});\t\n\n\n \/\/ \u0110\u1ebfm s\u1ed1 c\u00e2u h\u1ecfi trong t\u1eebng section\n const section1Count = document.querySelectorAll('#section-1 .question').length;\n const section2Count = document.querySelectorAll('#section-2 .question').length;\n const section3Count = document.querySelectorAll('#section-3 .question').length;\n\n \n \/\/ C\u1eadp nh\u1eadt counter-reset cho t\u1eebng section\n document.getElementById('section-2').style.setProperty('counter-reset', `question ${section1Count}`);\n document.getElementById('section-3').style.setProperty('counter-reset', `question ${section1Count + section2Count}`); \n\n \/\/ Thay \u0111\u1ed5i s\u1ed1 gi\u00e2y theo y\u00eau c\u1ea7u c\u1ee7a b\u1ea1n\n const totalTime = 5460; \/\/ Th\u1eddi gian t\u1ed5ng c\u1ed9ng cho b\u00e0i test (600 gi\u00e2y = 10 ph\u00fat)\n let timeLeft = totalTime;\n\n const timerElement = document.getElementById('timer');\n\n function updateTimer() {\n const minutes = Math.floor(timeLeft \/ 60);\n const seconds = timeLeft % 60;\n timerElement.innerText = `Th\u1eddi gian c\u00f2n l\u1ea1i: ${minutes}:${seconds < 91 ? '' : '0'}${seconds}`;\n \n if (timeLeft > 0) {\n timeLeft--;\n } else {\n clearInterval(timerInterval);\n alert(\"Th\u1eddi gian \u0111\u00e3 h\u1ebft! B\u00e0i test s\u1ebd t\u1ef1 \u0111\u1ed9ng n\u1ed9p.\");\n document.getElementById('quiz-form').submit(); \/\/ T\u1ef1 \u0111\u1ed9ng n\u1ed9p b\u00e0i test\n }\n }\n\n const timerInterval = setInterval(updateTimer, 1000); \/\/ C\u1eadp nh\u1eadt m\u1ed7i gi\u00e2y\n\n<\/script>\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>z B\u00e0i Test Tr\u1eafc Nghi\u1ec7m 1. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $3^x = 81$ l\u00e0 4. 2. 3. 9. C\u1eb7p s\u1ed1 nh\u00e2n $(u_n)$ c\u00f3 $u_1 = 2$ v\u00e0 $u_2 = -4$. S\u1ed1 h\u1ea1ng $u_6$ c\u1ee7a c\u1ea5p s\u1ed1 nh\u00e2n l\u00e0 $-64$. $128$. $128$. $64$. Cho h\u00ecnh h\u1ed9p $ABCD.A’B’C’D’$. Ph\u00e1t bi\u1ec3u n\u00e0o […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-896","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/896","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=896"}],"version-history":[{"count":47,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/896\/revisions"}],"predecessor-version":[{"id":960,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/896\/revisions\/960"}],"wp:attachment":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=896"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=896"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=896"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}