B\u00e0i Test Tr\u1eafc Nghi\u1ec7m<\/title>\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 <link rel=\"stylesheet\" href=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/KaTeX\/0.13.18\/katex.min.css\">\n <script defer src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/KaTeX\/0.13.18\/katex.min.js\"><\/script>\n <script defer src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/KaTeX\/0.13.18\/contrib\/auto-render.min.js\"\n onload=\"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 <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: 1.6;\n font-size: 20px;\n }\n h1 {font-size: 22px;\n \n color: #333;\n }\n .question {\n margin-bottom: 10px;\n counter-increment: question;\n }\n .question::before {\n content: \"C\u00e2u \" counter(question) \". \";\n font-weight: bold;\n display: inline;\n }\n h2 {\n font-size: 20px;\n font-weight: normal;\n margin-bottom: 0;\n display: inline;\n }\n .options {\n margin-top: 0;\n }\n .options label { font-size: 20px;\n display: block;\n margin: 5px 0;\n }\n .column-1 .options {\n display: block;\n }\n .column-2 .options {\n column-count: 2;\n column-gap: 10px;\n }\n .column-4 .options {\n column-count: 4;\n column-gap: 10px;\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: 20px; \/* \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 }\n <\/style>\n<\/head>\n<body>\n\n<div id=\"timer\" style=\"font-size: 24px; text-align: center; margin-bottom: 20px;\"><\/div> \n<h1>PH\u1ea6N TR\u1eaeC NGHI\u1ec6M NHI\u1ec0U L\u1ef0A CH\u1eccN<\/h1>\n <div class=\"section\" id=\"section-1\">\n\n <div class=\"question column-4\">\n <h2> G\u00f3c l\u01b0\u1ee3ng gi\u00e1c $ 240^o $ c\u00f3 \u0111i\u1ec3m bi\u1ec3u di\u1ec5n n\u1eb1m \u1edf g\u00f3c ph\u1ea7n t\u01b0 s\u1ed1 <\/h2>\n <div class=\"options column-4\">\n <label><input type=\"radio\" name=\"question0\" data-value=\"false\"> I <\/label>\n <label><input type=\"radio\" name=\"question0\" data-value=\"false\"> II <\/label>\n <label><input type=\"radio\" name=\"question0\" data-value=\"true\"> III <\/label>\n <label><input type=\"radio\" name=\"question0\" data-value=\"false\"> IV <\/label>\n <\/div>\n <\/div>\n\n\n <div class=\"question column-2\">\n <h2>Cho tam gi\u00e1c $ ABC $ n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n $ (O) $ (xem h\u00ecnh d\u01b0\u1edbi). Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang?<\/h2>\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 20px 0;\">\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-5aba8ebdb8e5b88be4a78a912f2efb4c_l3.svg\" height=\"196\" width=\"214\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/script>\n <\/div>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question1\" data-value=\"true\"> $ \\text{s\u0111}(AB,AC) =-75^o$.<\/label>\n <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $ \\text{s\u0111}(BC,BA) =40^o$.<\/label>\n <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $ \\text{s\u0111}(CB,CA) =65^o$.<\/label>\n <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $ \\text{s\u0111}(OA,OB) =130^o$.<\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2>Tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n l\u01b0\u1ee3ng gi\u00e1c cho $ C(-1;0) $ v\u00e0 \u0111i\u1ec3m $ M $ n\u1eb1m \u1edf g\u00f3c ph\u1ea7n t\u01b0 s\u1ed1 III sao cho $ \\widehat{COM}=50^o $. \u0110i\u1ec3m $ M $ bi\u1ec3u di\u1ec5n cho g\u00f3c l\u01b0\u1ee3ng gi\u00e1c c\u00f3 s\u1ed1 \u0111o<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> $ -50^o $.<\/label>\n <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> $ 50^o $.<\/label>\n <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> $ 1000^o $.<\/label>\n <label><input type=\"radio\" name=\"question2\" data-value=\"true\"> $ -130^o $.<\/label>\n <\/div>\n <\/div>\n\n\n\n \n <div class=\"question column-2\">\n <h2> Ph\u00e9p so s\u00e1nh n\u00e0o sau \u0111\u00e2y \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $ \\sin 210^o>\\sin 120^o $ <\/label>\n <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $ \\sin 80^o>\\sin 100^o $ <\/label>\n <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $ \\sin 120^o>\\sin 90^o $ <\/label>\n <label><input type=\"radio\" name=\"question3\" data-value=\"true\"> $ \\sin 150^o>\\sin 160^o $ <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question4\" data-value=\"true\"> $ \\sin 50^o=\\sin 130^o $. <\/label>\n <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $ \\cos 50^o=\\cos 130^o $. <\/label>\n <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $ \\cot 50^o=\\cot 130^o $. <\/label>\n <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $ \\tan 50^o=\\tan 130^o $. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $ \\cos 80^o=\\sin 50^o\\cos 30^o-\\sin 30^o\\cos 50^o $. <\/label>\n <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $ \\cos 80^o=\\sin 50^o\\cos 30^o+\\sin 30^o\\cos 50^o $. <\/label>\n <label><input type=\"radio\" name=\"question5\" data-value=\"true\"> $ \\cos 80^o=\\cos 50^o\\cos 30^o-\\sin 30^o\\sin 50^o $. <\/label>\n <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $ \\cos 80^o=\\cos 50^o\\cos 30^o+\\sin 30^o\\sin 50^o $. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $ \\sin (x+y)=\\sin x\\sin y+\\cos x\\cos y $. <\/label>\n <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $ \\cos (x+y)=\\sin x\\sin y+\\cos x\\cos y $. <\/label>\n <label><input type=\"radio\" name=\"question6\" data-value=\"true\"> $ \\sin (x-y)=\\sin x\\cos y-\\cos x\\sin y $. <\/label>\n <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $ \\cos (x-y)=\\sin x\\sin y-\\cos x\\cos y $. <\/label>\n <\/div>\n <\/div> \n \n \n\n <div class=\"question column-2\">\n <h2> Trong c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau, kh\u1eb3ng \u0111\u1ecbnh n\u00e0o \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question7\" data-value=\"true\"> $ \\cos x $ tu\u1ea7n ho\u00e0n v\u1edbi chu k\u00ec $ 2\\pi $. <\/label>\n <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $ \\sin x $ tu\u1ea7n ho\u00e0n v\u1edbi chu k\u00ec $ \\pi $. <\/label>\n <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $ \\cos x $ tu\u1ea7n ho\u00e0n v\u1edbi chu k\u00ec $ \\pi $. <\/label>\n <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $ \\tan x $ tu\u1ea7n ho\u00e0n v\u1edbi chu k\u00ec $ 2\\pi $. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang?<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $ \\sin x $ l\u00e0 h\u00e0m s\u1ed1 ch\u1eb5n. <\/label>\n <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $ \\tan x $ l\u00e0 h\u00e0m s\u1ed1 ch\u1eb5n. <\/label>\n <label><input type=\"radio\" name=\"question8\" data-value=\"true\"> $ \\tan x $ l\u00e0 h\u00e0m s\u1ed1 l\u1ebb. <\/label>\n <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $ \\cos x $ l\u00e0 h\u00e0m s\u1ed1 l\u1ebb. <\/label>\n <\/div>\n <\/div> \n\n <div class=\"question column-2\">\n <h2> Ph\u01b0\u01a1ng tr\u00ecnh $\\cos x=\\dfrac{1}{2}$ c\u00f3 nghi\u1ec7m <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question9\" data-value=\"true\"> $ \\left[ \\begin{array}{l}\n x=\\dfrac{\\pi}{3}+k2\\pi\\\\ x=\\dfrac{-\\pi}{3}+k2\\pi\n \\end{array} \\right. $ v\u1edbi $ k\\in\\mathbb{Z} $. <\/label>\n <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $ \\left[ \\begin{array}{l}\n x=\\dfrac{\\pi}{6}+k2\\pi\\\\ x=\\dfrac{-\\pi}{6}+k2\\pi\n \\end{array} \\right. $ v\u1edbi $ k\\in\\mathbb{Z} $. <\/label>\n <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $ \\left[ \\begin{array}{l}\n x=\\dfrac{\\pi}{3}+k2\\pi\\\\ x=\\dfrac{2\\pi}{3}+k2\\pi\n \\end{array} \\right. $ v\u1edbi $ k\\in\\mathbb{Z} $. <\/label>\n <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $ \\left[ \\begin{array}{l}\n x=\\dfrac{\\pi}{6}+k2\\pi\\\\ x=\\dfrac{5\\pi}{6}+k2\\pi\n \\end{array} \\right. $ v\u1edbi $ k\\in\\mathbb{Z} $. <\/label>\n <\/div>\n <\/div> \n\n <div class=\"question column-4\">\n <h2> D\u00e3y s\u1ed1 $ (u_n) $ v\u1edbi $ u_n=\\dfrac{5}{n^2} $ c\u00f3 s\u1ed1 h\u1ea1ng th\u1ee9 $ 5 $ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $ 5 $. <\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $ \\dfrac{1}{10} $. <\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $ \\dfrac{1}{25} $. <\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"true\"> $ \\dfrac{1}{5} $. <\/label>\n <\/div>\n <\/div>\n\n <div class=\"question column-4\">\n <h2> M\u1ed9t th\u01b0 vi\u1ec7n th\u1ed1ng k\u00ea s\u1ed1 ng\u01b0\u1eddi \u0111\u1ecdc s\u00e1ch v\u00e0o bu\u1ed5i t\u1ed1i trong $ 30 $ ng\u00e0y c\u1ee7a th\u00e1ng v\u1eeba qua nh\u01b0 sau: \n <div style=\"text-align: center;\">\n 85 81 65 58 47 30 51 92 85 42 55 37 31 82 63 <br>\n 33 44 93 77 57 44 74 63 67 46 73 52 53 47 35\n <\/div> \n Ta chia m\u1eabu s\u1ed1 li\u1ec7u tr\u00ean th\u00e0nh $ 8 $ nh\u00f3m \u1ee9ng v\u1edbi $ 8 $ n\u1eeda kho\u1ea3ng theo th\u1ee9 t\u1ef1 sau: $ [25;34) $, $ [34;43) $, $ [43;52) $, $ [52;61) $, $ [61;70) $, $ [70;79) $, $ [79;88) $, $ [88;97) $. T\u1ea7n s\u1ed1 c\u1ee7a nh\u00f3m th\u1ee9 $ 2 $ v\u00e0 $ 5 $ l\u1ea7n l\u01b0\u1ee3t l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question11\" data-value=\"true\"> $ 3 $ v\u00e0 $ 4 $. <\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $ 3 $ v\u00e0 $ 6 $. <\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $ 3 $ v\u00e0 $ 5 $. <\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $ 2 $ v\u00e0 $ 5 $. <\/label>\n <\/div>\n <\/div>\n \n <\/div>\n\n \n<h1>PH\u1ea6N TR\u1eaeC NGHI\u1ec6M \u0110\u00daNG SAI<\/h1>\n <div class=\"section\" id=\"section-2\">\n <div class=\"question\">\n <h2> Cho c\u00e1c g\u00f3c l\u01b0\u1ee3ng gi\u00e1c $\\alpha$, $\\beta$ c\u00f3 s\u1ed1 \u0111o \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng d\u1ed9. G\u1ecdi $M,N$ l\u00e0 c\u00e1c \u0111i\u1ec3m bi\u1ec3u di\u1ec5m c\u1ee7a $\\alpha,\\beta$. H\u00e3y x\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\"> N\u1ebfu $\\alpha-\\beta=360^o$ th\u00ec $M$ tr\u00f9ng $N$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\"> N\u1ebfu $\\alpha-\\beta=180^o$ th\u00ec $M$ \u0111\u1ed1i x\u1ee9ng v\u1edbi $N$ qua $O$ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $\\alpha+\\beta=0^o$ th\u00ec $M$ \u0111\u1ed1i x\u1ee9ng $N$ qua $Oy$ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $\\alpha+\\beta=180^o$ th\u00ec $M$ \u0111\u1ed1i x\u1ee9ng $N$ qua $Ox$ <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question\">\n <h2> Cho ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c $6\\sin^2 x=\\cos 2x-5$. X\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau: <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" name=\"question1\" data-value=\"true\"> $\\sin^2 x=\\dfrac{-\\cos 2x+1}{2}$ <\/label>\n <label><input type=\"checkbox\" name=\"question1\" data-value=\"true\"> Ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi $3(-\\cos 2x+1)=\\cos 2x-5$ <\/label>\n <label><input type=\"checkbox\" name=\"question1\" data-value=\"false\"> Ph\u01b0\u01a1ng tr\u00ecnh (1) t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi $\\cos 2x =-1$ <\/label>\n <label><input type=\"checkbox\" name=\"question1\" data-value=\"false\"> Ph\u01b0\u01a1ng tr\u00ecnh (1) c\u00f3 nghi\u1ec7m $x=\\dfrac{\\pi}{2}+k\\pi$ v\u1edbi $k\\in\\mathbb{Z}$ <\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2> Cho c\u00e1c d\u00e3y s\u1ed1 $(u_n)$ v\u00e0 $(v_n)$. \u1ede \u0111\u1ea5y, $v_n=-2u_n$. X\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $(u_n)$ t\u0103ng th\u00ec $(v_n)$ t\u0103ng <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $(u_n)$ gi\u1ea3m th\u00ec $(v_n)$ gi\u1ea3m <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $(u_n)$ b\u1ecb ch\u1eb7n tr\u00ean th\u00ec $(u_n)$ b\u1ecb ch\u1eb7n tr\u00ean <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $(u_n)$ b\u1ecb ch\u1eb7n d\u01b0\u1edbi th\u00ec $(u_n)$ b\u1ecb ch\u1eb7n d\u01b0\u1edbi <\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2> Cho csc $(u_n)$ v\u1edbi $u_1=2$, c\u00f4ng sai $q=3$; csn $(v_n)$ v\u1edbi $v_1=6$, $q=-2$. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\"> $u_{10}=29$, $v_{10}=-6\\cdot 2^9$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\"> T\u1ed5ng $u_1+u_2+\\cdots+u_{10}= 165$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\"> T\u1ed5ng $v_1+v_2+\\dots+v_{10}=(-2)(2^{10}-1) $ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> ($u_n$) l\u00e0 d\u00e3y s\u1ed1 gi\u1ea3m <\/label>\n <\/div>\n <\/div>\n \n <\/div>\n\n \n <h1>PH\u1ea6N TR\u1eaeC NGHI\u1ec6M \u0110I\u1ec0N KHUY\u1ebeT<\/h1>\n <div class=\"section\" id=\"section-3\">\n <div class=\"question\">\n <h2>M\u1ed9t th\u01b0 vi\u1ec7n th\u1ed1ng k\u00ea s\u1ed1 ng\u01b0\u1eddi \u0111\u1ecdc s\u00e1ch v\u00e0o bu\u1ed5i t\u1ed1i trong $ 30 $ ng\u00e0y c\u1ee7a th\u00e1ng v\u1eeba qua nh\u01b0 sau: \n <div style=\"text-align: center;\">\n 85 81 65 58 47 30 51 92 85 42 55 37 31 82 63 <br>\n 33 44 93 77 57 44 74 63 67 46 73 52 53 47 35\n <\/div>\n X\u00e9t m\u1eabu s\u1ed1 li\u1ec7u gh\u00e9p nh\u00f3m $X$ c\u00f3 \u0111\u01b0\u1ee3c b\u1eb1ng c\u00e1ch\n chia m\u1eabu s\u1ed1 li\u1ec7u tr\u00ean th\u00e0nh $ 8 $ nh\u00f3m \u1ee9ng v\u1edbi $ 8 $ n\u1eeda kho\u1ea3ng theo th\u1ee9 t\u1ef1 sau: $ [25;34) $, $ [34;43) $, $ [43;52) $, $ [52;61) $, $ [61;70) $, $ [70;79) $, $ [79;88) $, $ [88;97) $. Gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u $X$\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"6,8\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> (L\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng ph\u1ea7n m\u01b0\u1eddi) \n <\/h2>\n <\/div>\n \n <div class=\"question\">\n <h2> S\u1ed1 gi\u1edd m\u1eb7t tr\u1eddi chi\u1ebfu s\u00e1ng \u1edf m\u1ed9t th\u00e0nh ph\u1ed1 X trong ng\u00e0y th\u1ee9 $t$ c\u1ee7a n\u0103m (kh\u00f4ng nhu\u1eadn) \u0111\u01b0\u1ee3c t\u00ednh x\u1ea5p x\u1ec9 b\u1edfi c\u00f4ng th\u1ee9c\n <div style=\"text-align: center;\">\n <p class=\"ql-center-displayed-equation\" style=\"line-height: 45px;\"><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-64bc59b8b8d45521074c0a7436d42130_l3.svg\" height=\"45\" width=\"475\" class=\"ql-img-displayed-equation \" alt=\"\[d(t) = 4\sin\left(\frac{2\pi}{365}(t - 80)\right) + 12 \quad \text{với } t \in \mathbb{Z} \text{ và } 1 \leq t \leq 365\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/div>\n S\u1ed1 gi\u1edd chi\u1ebfu s\u00e1ng t\u1ea1i th\u00e0nh ph\u1ed1 X v\u00e0o ng\u00e0y 30 th\u00e1ng 12 l\u00e0 \n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"8,02\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> (L\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng ph\u1ea7n tr\u0103m) \n <\/h2>\n <\/div>\n \n <div class=\"question\">\n <h2> Cho h\u00ecnh d\u01b0\u1edbi, mi\u00eau t\u1ea3 quy lu\u1eadt c\u00e1c h\u00ecnh vu\u00f4ng \u1edf m\u1ed7i h\u00e0ng. Gi\u1ea3 \u0111\u1ecbnh r\u1eb1ng c\u00f3 v\u00f4 s\u1ed1 h\u00e0ng, v\u00e0 h\u00ecnh ch\u1ec9 mi\u00eau t\u1ea3 \u0111\u1ea1i di\u1ec7n 4 h\u00e0ng \u0111\u1ea7u ti\u00ean.\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 20px 0;\">\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-c5e650c1911cb3c7f4092a92142ef443_l3.svg\" height=\"200\" width=\"380\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> \n <\/script>\n <\/div> \n G\u1ecdi $u_n$ l\u00e0 t\u1ed5ng di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh vu\u00f4ng \u1edf h\u00e0ng th\u1ee9 $n$ (m\u1ed7i \u00f4 vu\u00f4ng nh\u1ecf nh\u1ea5t c\u00f3 di\u1ec7n t\u00edch b\u1eb1ng 1 \u0111\u01a1n v\u1ecb). D\u1ef1 \u0111o\u00e1n gi\u00e1 tr\u1ecb c\u1ee7a $u_{10}$ b\u1eb1ng \n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"1000\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> \n \n <\/h2> \n <\/div> \n\n <div class=\"question\">\n <h2> B\u1ea3ng gi\u00e1 c\u01b0\u1edbc c\u1ee7a h\u00e3ng taxi xanh SM cho d\u00f2ng xe VF5 t\u1ea1i $km$ th\u1ee9 $n$ \u0111\u01b0\u1ee3c cho b\u1edfi b\u1edfi d\u00e3y s\u1ed1 $(u_n)$. \u1ede \u0111\u00f3, $u_n$ c\u00f3 \u0111\u01a1n v\u1ecb l\u00e0 ng\u00e0n \u0111\u1ed3ng v\u00e0 \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh nh\u01b0 sau\n <div style=\"text-align: center;\">\n ${u_n=\\begin{cases}\n 20&\\text{ v\u1edbi } 0< n\\leq 1\\\\\n 15,5&\\text{ v\u1edbi } 1< n\\leq 12\\\\\n 14,5&\\text{ v\u1edbi } 12< n\\leq 25\\\\\n 12,5&\\text{ v\u1edbi } n>25 \n \\end{cases}}$\n \t<\/div>\n S\u1ed1 ti\u1ec1n ph\u1ea3i tr\u1ea3 (\u0111\u01a1n v\u1ecb: ng\u00e0n \u0111\u1ed3ng, l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb) khi b\u1ea1n s\u1eed d\u1ee5ng d\u1ecbch v\u1ee5 taxi VF5 khi th\u1ef1c hi\u1ec7n di chuy\u1ec3n qu\u00e3ng \u0111\u01b0\u1eddng l\u00e0\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"366\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> \n <\/h2> \n <\/div>\n\n <div class=\"question\">\n <h2> M\u1ed9t lo\u1ea1i vi khu\u1ea9n \u0111\u01b0\u1ee3c nu\u00f4i c\u1ea5y trong \u1ed1ng nghi\u1ec7m, c\u1ee9 20 ph\u00fat l\u1ea1i nh\u00e2n \u0111\u00f4i m\u1ed9t l\u1ea7n. Ban \u0111\u1ea7u trong \u1ed1ng nghi\u1ec7m c\u00f3 $200$ vi khu\u1ea9n. G\u1ecdi $A$ l\u00e0 s\u1ed1 l\u01b0\u1ee3ng vi khu\u1ea9n c\u00f3 trong \u1ed1ng nghi\u1ec7m sau 2 gi\u1edd. Gi\u00e1 tr\u1ecb c\u1ee7a $A\/100$ <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"128\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> (Gi\u1ea3 \u0111\u1ecbnh m\u00f4i tr\u01b0\u1eddng nu\u00f4i c\u1ea5y trong \u1ed1ng nghi\u1ec7m lu\u00f4n \u0111\u01b0\u1ee3c \u0111\u1ea3m b\u1ea3o cho vi khu\u1ea9n sinh tr\u01b0\u1edfng) \n <\/h2>\n <\/div>\n\n <div class=\"question\">\n <h2> T\u1ef7 l\u1ec7 chi\u1ebft kh\u1ea5u l\u00e0 m\u1ed9t y\u1ebfu t\u1ed1 quan tr\u1ecdng trong t\u00e0i ch\u00ednh, d\u00f9ng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb hi\u1ec7n t\u1ea1i c\u1ee7a c\u00e1c d\u00f2ng ti\u1ec1n t\u01b0\u01a1ng lai. \u0110\u00e2y l\u00e0 l\u00e3i su\u1ea5t m\u00e0 b\u1ea1n s\u1eed d\u1ee5ng \u0111\u1ec3 gi\u1ea3m gi\u00e1 tr\u1ecb c\u1ee7a ti\u1ec1n trong t\u01b0\u01a1ng lai v\u1ec1 gi\u00e1 tr\u1ecb c\u1ee7a n\u00f3 trong hi\u1ec7n t\u1ea1i. C\u1ee5 th\u1ec3, v\u1edbi t\u1ef7 l\u1ec7 chi\u1ebft kh\u1ea5u $r$ v\u00e0 m\u1ed9t kho\u1ea3n ti\u1ec1n $C$ nh\u1eadn \u0111\u01b0\u1ee3c \u1edf n\u0103m th\u1ee9 $n$, th\u00ec gi\u00e1 tr\u1ecb hi\u1ec7n t\u1ea1i-hi\u1ec7n gi\u00e1 c\u1ee7a kho\u1ea3n ti\u1ec1n $C$ \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1edfi\n <div style=\"text-align: center;\"> \n <p class=\"ql-center-displayed-equation\" style=\"line-height: 44px;\"><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-e293e50204b232185266e89436730305_l3.svg\" height=\"44\" width=\"123\" class=\"ql-img-displayed-equation \" alt=\"\[PV=\dfrac{C}{(1+r)^n}\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/div>\n \\noindent\n B\u1ea1n \u0111\u1ea7u t\u01b0 v\u00e0o m\u1ed9t d\u1ef1 \u00e1n h\u1ee9a h\u1eb9n s\u1ebd tr\u1ea3 cho b\u1ea1n 300 tri\u1ec7u \u0111\u1ed3ng m\u1ed7i n\u0103m trong 5 n\u0103m. B\u1ea1n s\u1eed d\u1ee5ng t\u1ef7 l\u1ec7 chi\u1ebft kh\u1ea5u l\u00e0 $8\\%$ ($0,08$) \u0111\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb hi\u1ec7n t\u1ea1i c\u1ee7a c\u00e1c d\u00f2ng ti\u1ec1n n\u00e0y. Gi\u00e1 tr\u1ecb hi\u1ec7n t\u1ea1i c\u1ee7a kho\u00e0n \u0111\u1ea7u t\u01b0 <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"12\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> (t\u00ednh b\u1eb1ng tr\u0103m tri\u1ec7u \u0111\u1ed3ng v\u00e0 l\u00e0m tr\u00f2n \u0111\u1ebfn s\u1ed1 th\u1eadp ph\u00e2n th\u1ee9 nh\u1ea5t) \n <\/h2>\n <\/div>\n \n<\/div>\n\n <button type=\"button\" id=\"submit-button\">N\u1ed9p b\u00e0i<\/button>\n<\/form>\n\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\nfunction calculateScore() {\n const sections = document.querySelectorAll('.section');\n let totalScore = 0;\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++; \/\/ 1 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 0.4;\n case 2: return 1;\n case 3: return 2;\n case 4: return 4;\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 += 2; \/\/ 2 points for each correct answer\n }\n });\n\n const maxScore = question1.length + question2.length*4 + question3.length*2 ;\n document.getElementById('result').innerText = `T\u1ed5ng \u0111i\u1ec3m: ${totalScore} \/ ${maxScore}`;\n}\n\n\/\/ Attach event listener correctly\ndocument.getElementById('submit-button').addEventListener('click', calculateScore);\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\n\n\n<\/script>\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>B\u00e0i Test Tr\u1eafc Nghi\u1ec7m PH\u1ea6N TR\u1eaeC NGHI\u1ec6M NHI\u1ec0U L\u1ef0A CH\u1eccN G\u00f3c l\u01b0\u1ee3ng gi\u00e1c $ 240^o $ c\u00f3 \u0111i\u1ec3m bi\u1ec3u di\u1ec5n n\u1eb1m \u1edf g\u00f3c ph\u1ea7n t\u01b0 s\u1ed1 I II III IV Cho tam gi\u00e1c $ ABC $ n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n $ (O) $ (xem h\u00ecnh d\u01b0\u1edbi). Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang? […]<\/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-537","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/537","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=537"}],"version-history":[{"count":41,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/537\/revisions"}],"predecessor-version":[{"id":725,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/537\/revisions\/725"}],"wp:attachment":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":537,"date":"2024-10-27T15:30:15","date_gmt":"2024-10-27T08:30:15","guid":{"rendered":"https:\/\/sunflower-math.com\/?p=537"},"modified":"2024-10-30T22:38:38","modified_gmt":"2024-10-30T15:38:38","slug":"de-thi-th","status":"publish","type":"post","link":"https:\/\/sunflower-math.com\/?p=537","title":{"rendered":"b\u00e0i test c\u00f3 t\u00ednh time"},"content":{"rendered":"\n\n\n\n \n \n B\u00e0i Test Tr\u1eafc Nghi\u1ec7m<\/title>\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 <link rel=\"stylesheet\" href=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/KaTeX\/0.13.18\/katex.min.css\">\n <script defer src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/KaTeX\/0.13.18\/katex.min.js\"><\/script>\n <script defer src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/KaTeX\/0.13.18\/contrib\/auto-render.min.js\"\n onload=\"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 <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: 1.6;\n font-size: 20px;\n }\n h1 {font-size: 22px;\n \n color: #333;\n }\n .question {\n margin-bottom: 10px;\n counter-increment: question;\n }\n .question::before {\n content: \"C\u00e2u \" counter(question) \". \";\n font-weight: bold;\n display: inline;\n }\n h2 {\n font-size: 20px;\n font-weight: normal;\n margin-bottom: 0;\n display: inline;\n }\n .options {\n margin-top: 0;\n }\n .options label { font-size: 20px;\n display: block;\n margin: 5px 0;\n }\n .column-1 .options {\n display: block;\n }\n .column-2 .options {\n column-count: 2;\n column-gap: 10px;\n }\n .column-4 .options {\n column-count: 4;\n column-gap: 10px;\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: 20px; \/* \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 }\n <\/style>\n<\/head>\n<body>\n\n<div id=\"timer\" style=\"font-size: 24px; text-align: center; margin-bottom: 20px;\"><\/div> \n<h1>PH\u1ea6N TR\u1eaeC NGHI\u1ec6M NHI\u1ec0U L\u1ef0A CH\u1eccN<\/h1>\n <div class=\"section\" id=\"section-1\">\n\n <div class=\"question column-4\">\n <h2> G\u00f3c l\u01b0\u1ee3ng gi\u00e1c $ 240^o $ c\u00f3 \u0111i\u1ec3m bi\u1ec3u di\u1ec5n n\u1eb1m \u1edf g\u00f3c ph\u1ea7n t\u01b0 s\u1ed1 <\/h2>\n <div class=\"options column-4\">\n <label><input type=\"radio\" name=\"question0\" data-value=\"false\"> I <\/label>\n <label><input type=\"radio\" name=\"question0\" data-value=\"false\"> II <\/label>\n <label><input type=\"radio\" name=\"question0\" data-value=\"true\"> III <\/label>\n <label><input type=\"radio\" name=\"question0\" data-value=\"false\"> IV <\/label>\n <\/div>\n <\/div>\n\n\n <div class=\"question column-2\">\n <h2>Cho tam gi\u00e1c $ ABC $ n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n $ (O) $ (xem h\u00ecnh d\u01b0\u1edbi). Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang?<\/h2>\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 20px 0;\">\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-5aba8ebdb8e5b88be4a78a912f2efb4c_l3.svg\" height=\"196\" width=\"214\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/script>\n <\/div>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question1\" data-value=\"true\"> $ \\text{s\u0111}(AB,AC) =-75^o$.<\/label>\n <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $ \\text{s\u0111}(BC,BA) =40^o$.<\/label>\n <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $ \\text{s\u0111}(CB,CA) =65^o$.<\/label>\n <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $ \\text{s\u0111}(OA,OB) =130^o$.<\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2>Tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n l\u01b0\u1ee3ng gi\u00e1c cho $ C(-1;0) $ v\u00e0 \u0111i\u1ec3m $ M $ n\u1eb1m \u1edf g\u00f3c ph\u1ea7n t\u01b0 s\u1ed1 III sao cho $ \\widehat{COM}=50^o $. \u0110i\u1ec3m $ M $ bi\u1ec3u di\u1ec5n cho g\u00f3c l\u01b0\u1ee3ng gi\u00e1c c\u00f3 s\u1ed1 \u0111o<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> $ -50^o $.<\/label>\n <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> $ 50^o $.<\/label>\n <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> $ 1000^o $.<\/label>\n <label><input type=\"radio\" name=\"question2\" data-value=\"true\"> $ -130^o $.<\/label>\n <\/div>\n <\/div>\n\n\n\n \n <div class=\"question column-2\">\n <h2> Ph\u00e9p so s\u00e1nh n\u00e0o sau \u0111\u00e2y \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $ \\sin 210^o>\\sin 120^o $ <\/label>\n <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $ \\sin 80^o>\\sin 100^o $ <\/label>\n <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $ \\sin 120^o>\\sin 90^o $ <\/label>\n <label><input type=\"radio\" name=\"question3\" data-value=\"true\"> $ \\sin 150^o>\\sin 160^o $ <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question4\" data-value=\"true\"> $ \\sin 50^o=\\sin 130^o $. <\/label>\n <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $ \\cos 50^o=\\cos 130^o $. <\/label>\n <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $ \\cot 50^o=\\cot 130^o $. <\/label>\n <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $ \\tan 50^o=\\tan 130^o $. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $ \\cos 80^o=\\sin 50^o\\cos 30^o-\\sin 30^o\\cos 50^o $. <\/label>\n <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $ \\cos 80^o=\\sin 50^o\\cos 30^o+\\sin 30^o\\cos 50^o $. <\/label>\n <label><input type=\"radio\" name=\"question5\" data-value=\"true\"> $ \\cos 80^o=\\cos 50^o\\cos 30^o-\\sin 30^o\\sin 50^o $. <\/label>\n <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $ \\cos 80^o=\\cos 50^o\\cos 30^o+\\sin 30^o\\sin 50^o $. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $ \\sin (x+y)=\\sin x\\sin y+\\cos x\\cos y $. <\/label>\n <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $ \\cos (x+y)=\\sin x\\sin y+\\cos x\\cos y $. <\/label>\n <label><input type=\"radio\" name=\"question6\" data-value=\"true\"> $ \\sin (x-y)=\\sin x\\cos y-\\cos x\\sin y $. <\/label>\n <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $ \\cos (x-y)=\\sin x\\sin y-\\cos x\\cos y $. <\/label>\n <\/div>\n <\/div> \n \n \n\n <div class=\"question column-2\">\n <h2> Trong c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau, kh\u1eb3ng \u0111\u1ecbnh n\u00e0o \u0111\u00fang? <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question7\" data-value=\"true\"> $ \\cos x $ tu\u1ea7n ho\u00e0n v\u1edbi chu k\u00ec $ 2\\pi $. <\/label>\n <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $ \\sin x $ tu\u1ea7n ho\u00e0n v\u1edbi chu k\u00ec $ \\pi $. <\/label>\n <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $ \\cos x $ tu\u1ea7n ho\u00e0n v\u1edbi chu k\u00ec $ \\pi $. <\/label>\n <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $ \\tan x $ tu\u1ea7n ho\u00e0n v\u1edbi chu k\u00ec $ 2\\pi $. <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-2\">\n <h2> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang?<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $ \\sin x $ l\u00e0 h\u00e0m s\u1ed1 ch\u1eb5n. <\/label>\n <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $ \\tan x $ l\u00e0 h\u00e0m s\u1ed1 ch\u1eb5n. <\/label>\n <label><input type=\"radio\" name=\"question8\" data-value=\"true\"> $ \\tan x $ l\u00e0 h\u00e0m s\u1ed1 l\u1ebb. <\/label>\n <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $ \\cos x $ l\u00e0 h\u00e0m s\u1ed1 l\u1ebb. <\/label>\n <\/div>\n <\/div> \n\n <div class=\"question column-2\">\n <h2> Ph\u01b0\u01a1ng tr\u00ecnh $\\cos x=\\dfrac{1}{2}$ c\u00f3 nghi\u1ec7m <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question9\" data-value=\"true\"> $ \\left[ \\begin{array}{l}\n x=\\dfrac{\\pi}{3}+k2\\pi\\\\ x=\\dfrac{-\\pi}{3}+k2\\pi\n \\end{array} \\right. $ v\u1edbi $ k\\in\\mathbb{Z} $. <\/label>\n <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $ \\left[ \\begin{array}{l}\n x=\\dfrac{\\pi}{6}+k2\\pi\\\\ x=\\dfrac{-\\pi}{6}+k2\\pi\n \\end{array} \\right. $ v\u1edbi $ k\\in\\mathbb{Z} $. <\/label>\n <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $ \\left[ \\begin{array}{l}\n x=\\dfrac{\\pi}{3}+k2\\pi\\\\ x=\\dfrac{2\\pi}{3}+k2\\pi\n \\end{array} \\right. $ v\u1edbi $ k\\in\\mathbb{Z} $. <\/label>\n <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $ \\left[ \\begin{array}{l}\n x=\\dfrac{\\pi}{6}+k2\\pi\\\\ x=\\dfrac{5\\pi}{6}+k2\\pi\n \\end{array} \\right. $ v\u1edbi $ k\\in\\mathbb{Z} $. <\/label>\n <\/div>\n <\/div> \n\n <div class=\"question column-4\">\n <h2> D\u00e3y s\u1ed1 $ (u_n) $ v\u1edbi $ u_n=\\dfrac{5}{n^2} $ c\u00f3 s\u1ed1 h\u1ea1ng th\u1ee9 $ 5 $ l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $ 5 $. <\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $ \\dfrac{1}{10} $. <\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $ \\dfrac{1}{25} $. <\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"true\"> $ \\dfrac{1}{5} $. <\/label>\n <\/div>\n <\/div>\n\n <div class=\"question column-4\">\n <h2> M\u1ed9t th\u01b0 vi\u1ec7n th\u1ed1ng k\u00ea s\u1ed1 ng\u01b0\u1eddi \u0111\u1ecdc s\u00e1ch v\u00e0o bu\u1ed5i t\u1ed1i trong $ 30 $ ng\u00e0y c\u1ee7a th\u00e1ng v\u1eeba qua nh\u01b0 sau: \n <div style=\"text-align: center;\">\n 85 81 65 58 47 30 51 92 85 42 55 37 31 82 63 <br>\n 33 44 93 77 57 44 74 63 67 46 73 52 53 47 35\n <\/div> \n Ta chia m\u1eabu s\u1ed1 li\u1ec7u tr\u00ean th\u00e0nh $ 8 $ nh\u00f3m \u1ee9ng v\u1edbi $ 8 $ n\u1eeda kho\u1ea3ng theo th\u1ee9 t\u1ef1 sau: $ [25;34) $, $ [34;43) $, $ [43;52) $, $ [52;61) $, $ [61;70) $, $ [70;79) $, $ [79;88) $, $ [88;97) $. T\u1ea7n s\u1ed1 c\u1ee7a nh\u00f3m th\u1ee9 $ 2 $ v\u00e0 $ 5 $ l\u1ea7n l\u01b0\u1ee3t l\u00e0 <\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question11\" data-value=\"true\"> $ 3 $ v\u00e0 $ 4 $. <\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $ 3 $ v\u00e0 $ 6 $. <\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $ 3 $ v\u00e0 $ 5 $. <\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $ 2 $ v\u00e0 $ 5 $. <\/label>\n <\/div>\n <\/div>\n \n <\/div>\n\n \n<h1>PH\u1ea6N TR\u1eaeC NGHI\u1ec6M \u0110\u00daNG SAI<\/h1>\n <div class=\"section\" id=\"section-2\">\n <div class=\"question\">\n <h2> Cho c\u00e1c g\u00f3c l\u01b0\u1ee3ng gi\u00e1c $\\alpha$, $\\beta$ c\u00f3 s\u1ed1 \u0111o \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng d\u1ed9. G\u1ecdi $M,N$ l\u00e0 c\u00e1c \u0111i\u1ec3m bi\u1ec3u di\u1ec5m c\u1ee7a $\\alpha,\\beta$. H\u00e3y x\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\"> N\u1ebfu $\\alpha-\\beta=360^o$ th\u00ec $M$ tr\u00f9ng $N$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\"> N\u1ebfu $\\alpha-\\beta=180^o$ th\u00ec $M$ \u0111\u1ed1i x\u1ee9ng v\u1edbi $N$ qua $O$ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $\\alpha+\\beta=0^o$ th\u00ec $M$ \u0111\u1ed1i x\u1ee9ng $N$ qua $Oy$ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $\\alpha+\\beta=180^o$ th\u00ec $M$ \u0111\u1ed1i x\u1ee9ng $N$ qua $Ox$ <\/label>\n <\/div>\n <\/div>\n \n <div class=\"question\">\n <h2> Cho ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c $6\\sin^2 x=\\cos 2x-5$. X\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau: <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" name=\"question1\" data-value=\"true\"> $\\sin^2 x=\\dfrac{-\\cos 2x+1}{2}$ <\/label>\n <label><input type=\"checkbox\" name=\"question1\" data-value=\"true\"> Ph\u01b0\u01a1ng tr\u00ecnh t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi $3(-\\cos 2x+1)=\\cos 2x-5$ <\/label>\n <label><input type=\"checkbox\" name=\"question1\" data-value=\"false\"> Ph\u01b0\u01a1ng tr\u00ecnh (1) t\u01b0\u01a1ng \u0111\u01b0\u01a1ng v\u1edbi $\\cos 2x =-1$ <\/label>\n <label><input type=\"checkbox\" name=\"question1\" data-value=\"false\"> Ph\u01b0\u01a1ng tr\u00ecnh (1) c\u00f3 nghi\u1ec7m $x=\\dfrac{\\pi}{2}+k\\pi$ v\u1edbi $k\\in\\mathbb{Z}$ <\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2> Cho c\u00e1c d\u00e3y s\u1ed1 $(u_n)$ v\u00e0 $(v_n)$. \u1ede \u0111\u1ea5y, $v_n=-2u_n$. X\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $(u_n)$ t\u0103ng th\u00ec $(v_n)$ t\u0103ng <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $(u_n)$ gi\u1ea3m th\u00ec $(v_n)$ gi\u1ea3m <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $(u_n)$ b\u1ecb ch\u1eb7n tr\u00ean th\u00ec $(u_n)$ b\u1ecb ch\u1eb7n tr\u00ean <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $(u_n)$ b\u1ecb ch\u1eb7n d\u01b0\u1edbi th\u00ec $(u_n)$ b\u1ecb ch\u1eb7n d\u01b0\u1edbi <\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2> Cho csc $(u_n)$ v\u1edbi $u_1=2$, c\u00f4ng sai $q=3$; csn $(v_n)$ v\u1edbi $v_1=6$, $q=-2$. <\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\"> $u_{10}=29$, $v_{10}=-6\\cdot 2^9$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\"> T\u1ed5ng $u_1+u_2+\\cdots+u_{10}= 165$ <\/label>\n <label><input type=\"checkbox\" data-value=\"true\"> T\u1ed5ng $v_1+v_2+\\dots+v_{10}=(-2)(2^{10}-1) $ <\/label>\n <label><input type=\"checkbox\" data-value=\"false\"> ($u_n$) l\u00e0 d\u00e3y s\u1ed1 gi\u1ea3m <\/label>\n <\/div>\n <\/div>\n \n <\/div>\n\n \n <h1>PH\u1ea6N TR\u1eaeC NGHI\u1ec6M \u0110I\u1ec0N KHUY\u1ebeT<\/h1>\n <div class=\"section\" id=\"section-3\">\n <div class=\"question\">\n <h2>M\u1ed9t th\u01b0 vi\u1ec7n th\u1ed1ng k\u00ea s\u1ed1 ng\u01b0\u1eddi \u0111\u1ecdc s\u00e1ch v\u00e0o bu\u1ed5i t\u1ed1i trong $ 30 $ ng\u00e0y c\u1ee7a th\u00e1ng v\u1eeba qua nh\u01b0 sau: \n <div style=\"text-align: center;\">\n 85 81 65 58 47 30 51 92 85 42 55 37 31 82 63 <br>\n 33 44 93 77 57 44 74 63 67 46 73 52 53 47 35\n <\/div>\n X\u00e9t m\u1eabu s\u1ed1 li\u1ec7u gh\u00e9p nh\u00f3m $X$ c\u00f3 \u0111\u01b0\u1ee3c b\u1eb1ng c\u00e1ch\n chia m\u1eabu s\u1ed1 li\u1ec7u tr\u00ean th\u00e0nh $ 8 $ nh\u00f3m \u1ee9ng v\u1edbi $ 8 $ n\u1eeda kho\u1ea3ng theo th\u1ee9 t\u1ef1 sau: $ [25;34) $, $ [34;43) $, $ [43;52) $, $ [52;61) $, $ [61;70) $, $ [70;79) $, $ [79;88) $, $ [88;97) $. Gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a m\u1eabu s\u1ed1 li\u1ec7u $X$\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"6,8\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> (L\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng ph\u1ea7n m\u01b0\u1eddi) \n <\/h2>\n <\/div>\n \n <div class=\"question\">\n <h2> S\u1ed1 gi\u1edd m\u1eb7t tr\u1eddi chi\u1ebfu s\u00e1ng \u1edf m\u1ed9t th\u00e0nh ph\u1ed1 X trong ng\u00e0y th\u1ee9 $t$ c\u1ee7a n\u0103m (kh\u00f4ng nhu\u1eadn) \u0111\u01b0\u1ee3c t\u00ednh x\u1ea5p x\u1ec9 b\u1edfi c\u00f4ng th\u1ee9c\n <div style=\"text-align: center;\">\n <p class=\"ql-center-displayed-equation\" style=\"line-height: 45px;\"><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-64bc59b8b8d45521074c0a7436d42130_l3.svg\" height=\"45\" width=\"475\" class=\"ql-img-displayed-equation \" alt=\"\[d(t) = 4\sin\left(\frac{2\pi}{365}(t - 80)\right) + 12 \quad \text{với } t \in \mathbb{Z} \text{ và } 1 \leq t \leq 365\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/div>\n S\u1ed1 gi\u1edd chi\u1ebfu s\u00e1ng t\u1ea1i th\u00e0nh ph\u1ed1 X v\u00e0o ng\u00e0y 30 th\u00e1ng 12 l\u00e0 \n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"8,02\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> (L\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng ph\u1ea7n tr\u0103m) \n <\/h2>\n <\/div>\n \n <div class=\"question\">\n <h2> Cho h\u00ecnh d\u01b0\u1edbi, mi\u00eau t\u1ea3 quy lu\u1eadt c\u00e1c h\u00ecnh vu\u00f4ng \u1edf m\u1ed7i h\u00e0ng. Gi\u1ea3 \u0111\u1ecbnh r\u1eb1ng c\u00f3 v\u00f4 s\u1ed1 h\u00e0ng, v\u00e0 h\u00ecnh ch\u1ec9 mi\u00eau t\u1ea3 \u0111\u1ea1i di\u1ec7n 4 h\u00e0ng \u0111\u1ea7u ti\u00ean.\n <div class=\"tikz-container\" style=\"display: flex; justify-content: center; margin: 20px 0;\">\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-c5e650c1911cb3c7f4092a92142ef443_l3.svg\" height=\"200\" width=\"380\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> \n <\/script>\n <\/div> \n G\u1ecdi $u_n$ l\u00e0 t\u1ed5ng di\u1ec7n t\u00edch c\u1ee7a h\u00ecnh vu\u00f4ng \u1edf h\u00e0ng th\u1ee9 $n$ (m\u1ed7i \u00f4 vu\u00f4ng nh\u1ecf nh\u1ea5t c\u00f3 di\u1ec7n t\u00edch b\u1eb1ng 1 \u0111\u01a1n v\u1ecb). D\u1ef1 \u0111o\u00e1n gi\u00e1 tr\u1ecb c\u1ee7a $u_{10}$ b\u1eb1ng \n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"1000\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> \n \n <\/h2> \n <\/div> \n\n <div class=\"question\">\n <h2> B\u1ea3ng gi\u00e1 c\u01b0\u1edbc c\u1ee7a h\u00e3ng taxi xanh SM cho d\u00f2ng xe VF5 t\u1ea1i $km$ th\u1ee9 $n$ \u0111\u01b0\u1ee3c cho b\u1edfi b\u1edfi d\u00e3y s\u1ed1 $(u_n)$. \u1ede \u0111\u00f3, $u_n$ c\u00f3 \u0111\u01a1n v\u1ecb l\u00e0 ng\u00e0n \u0111\u1ed3ng v\u00e0 \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh nh\u01b0 sau\n <div style=\"text-align: center;\">\n ${u_n=\\begin{cases}\n 20&\\text{ v\u1edbi } 0< n\\leq 1\\\\\n 15,5&\\text{ v\u1edbi } 1< n\\leq 12\\\\\n 14,5&\\text{ v\u1edbi } 12< n\\leq 25\\\\\n 12,5&\\text{ v\u1edbi } n>25 \n \\end{cases}}$\n \t<\/div>\n S\u1ed1 ti\u1ec1n ph\u1ea3i tr\u1ea3 (\u0111\u01a1n v\u1ecb: ng\u00e0n \u0111\u1ed3ng, l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb) khi b\u1ea1n s\u1eed d\u1ee5ng d\u1ecbch v\u1ee5 taxi VF5 khi th\u1ef1c hi\u1ec7n di chuy\u1ec3n qu\u00e3ng \u0111\u01b0\u1eddng l\u00e0\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"366\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> \n <\/h2> \n <\/div>\n\n <div class=\"question\">\n <h2> M\u1ed9t lo\u1ea1i vi khu\u1ea9n \u0111\u01b0\u1ee3c nu\u00f4i c\u1ea5y trong \u1ed1ng nghi\u1ec7m, c\u1ee9 20 ph\u00fat l\u1ea1i nh\u00e2n \u0111\u00f4i m\u1ed9t l\u1ea7n. Ban \u0111\u1ea7u trong \u1ed1ng nghi\u1ec7m c\u00f3 $200$ vi khu\u1ea9n. G\u1ecdi $A$ l\u00e0 s\u1ed1 l\u01b0\u1ee3ng vi khu\u1ea9n c\u00f3 trong \u1ed1ng nghi\u1ec7m sau 2 gi\u1edd. Gi\u00e1 tr\u1ecb c\u1ee7a $A\/100$ <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"128\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> (Gi\u1ea3 \u0111\u1ecbnh m\u00f4i tr\u01b0\u1eddng nu\u00f4i c\u1ea5y trong \u1ed1ng nghi\u1ec7m lu\u00f4n \u0111\u01b0\u1ee3c \u0111\u1ea3m b\u1ea3o cho vi khu\u1ea9n sinh tr\u01b0\u1edfng) \n <\/h2>\n <\/div>\n\n <div class=\"question\">\n <h2> T\u1ef7 l\u1ec7 chi\u1ebft kh\u1ea5u l\u00e0 m\u1ed9t y\u1ebfu t\u1ed1 quan tr\u1ecdng trong t\u00e0i ch\u00ednh, d\u00f9ng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb hi\u1ec7n t\u1ea1i c\u1ee7a c\u00e1c d\u00f2ng ti\u1ec1n t\u01b0\u01a1ng lai. \u0110\u00e2y l\u00e0 l\u00e3i su\u1ea5t m\u00e0 b\u1ea1n s\u1eed d\u1ee5ng \u0111\u1ec3 gi\u1ea3m gi\u00e1 tr\u1ecb c\u1ee7a ti\u1ec1n trong t\u01b0\u01a1ng lai v\u1ec1 gi\u00e1 tr\u1ecb c\u1ee7a n\u00f3 trong hi\u1ec7n t\u1ea1i. C\u1ee5 th\u1ec3, v\u1edbi t\u1ef7 l\u1ec7 chi\u1ebft kh\u1ea5u $r$ v\u00e0 m\u1ed9t kho\u1ea3n ti\u1ec1n $C$ nh\u1eadn \u0111\u01b0\u1ee3c \u1edf n\u0103m th\u1ee9 $n$, th\u00ec gi\u00e1 tr\u1ecb hi\u1ec7n t\u1ea1i-hi\u1ec7n gi\u00e1 c\u1ee7a kho\u1ea3n ti\u1ec1n $C$ \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1edfi\n <div style=\"text-align: center;\"> \n <p class=\"ql-center-displayed-equation\" style=\"line-height: 44px;\"><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-e293e50204b232185266e89436730305_l3.svg\" height=\"44\" width=\"123\" class=\"ql-img-displayed-equation \" alt=\"\[PV=\dfrac{C}{(1+r)^n}\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/div>\n \\noindent\n B\u1ea1n \u0111\u1ea7u t\u01b0 v\u00e0o m\u1ed9t d\u1ef1 \u00e1n h\u1ee9a h\u1eb9n s\u1ebd tr\u1ea3 cho b\u1ea1n 300 tri\u1ec7u \u0111\u1ed3ng m\u1ed7i n\u0103m trong 5 n\u0103m. B\u1ea1n s\u1eed d\u1ee5ng t\u1ef7 l\u1ec7 chi\u1ebft kh\u1ea5u l\u00e0 $8\\%$ ($0,08$) \u0111\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb hi\u1ec7n t\u1ea1i c\u1ee7a c\u00e1c d\u00f2ng ti\u1ec1n n\u00e0y. Gi\u00e1 tr\u1ecb hi\u1ec7n t\u1ea1i c\u1ee7a kho\u00e0n \u0111\u1ea7u t\u01b0 <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"12\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span> (t\u00ednh b\u1eb1ng tr\u0103m tri\u1ec7u \u0111\u1ed3ng v\u00e0 l\u00e0m tr\u00f2n \u0111\u1ebfn s\u1ed1 th\u1eadp ph\u00e2n th\u1ee9 nh\u1ea5t) \n <\/h2>\n <\/div>\n \n<\/div>\n\n <button type=\"button\" id=\"submit-button\">N\u1ed9p b\u00e0i<\/button>\n<\/form>\n\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\nfunction calculateScore() {\n const sections = document.querySelectorAll('.section');\n let totalScore = 0;\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++; \/\/ 1 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 0.4;\n case 2: return 1;\n case 3: return 2;\n case 4: return 4;\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 += 2; \/\/ 2 points for each correct answer\n }\n });\n\n const maxScore = question1.length + question2.length*4 + question3.length*2 ;\n document.getElementById('result').innerText = `T\u1ed5ng \u0111i\u1ec3m: ${totalScore} \/ ${maxScore}`;\n}\n\n\/\/ Attach event listener correctly\ndocument.getElementById('submit-button').addEventListener('click', calculateScore);\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\n\n\n<\/script>\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>B\u00e0i Test Tr\u1eafc Nghi\u1ec7m PH\u1ea6N TR\u1eaeC NGHI\u1ec6M NHI\u1ec0U L\u1ef0A CH\u1eccN G\u00f3c l\u01b0\u1ee3ng gi\u00e1c $ 240^o $ c\u00f3 \u0111i\u1ec3m bi\u1ec3u di\u1ec5n n\u1eb1m \u1edf g\u00f3c ph\u1ea7n t\u01b0 s\u1ed1 I II III IV Cho tam gi\u00e1c $ ABC $ n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tr\u00f2n $ (O) $ (xem h\u00ecnh d\u01b0\u1edbi). Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang? […]<\/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-537","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/537","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=537"}],"version-history":[{"count":41,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/537\/revisions"}],"predecessor-version":[{"id":725,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/537\/revisions\/725"}],"wp:attachment":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=537"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}