B\u00e0i Test Tr\u1eafc Nghi\u1ec7m<\/title>\n <link href=\"https:\/\/fonts.googleapis.com\/css2?family=Alegreya:wght@400;500;600;700&display=swap\" rel=\"stylesheet\">\n \n \n \n \n\t<link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.21\/dist\/katex.min.css\" integrity=\"sha384-zh0CIslj+VczCZtlzBcjt5ppRcsAmDnRem7ESsYwWwg3m\/OaJ2l4x7YBZl9Kxxib\" crossorigin=\"anonymous\">\n\n \n <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.21\/dist\/katex.min.js\" integrity=\"sha384-Rma6DA2IPUwhNxmrB\/7S3Tno0YY7sFu9WSYMCuulLhIqYSGZ2gKCJWIqhBWqMQfh\" crossorigin=\"anonymous\"><\/script>\n\n \n <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.21\/dist\/contrib\/auto-render.min.js\" integrity=\"sha384-hCXGrW6PitJEwbkoStFjeJxv+fSOOQKOPbJxSfM6G5sWZjAyWhXiTIIAmQqnlLlh\" crossorigin=\"anonymous\"\n onload=\"renderMathInElement(document.body);\"><\/script> \n \n <style> \n body {\n font-family: 'Alegreya', serif;\n line-height: 1.5;\n font-size: 17px;\n } \n .question {\n font-family: \"Times New Roman\", Times, Georgia, \"Noto Serif\", serif;\n counter-increment: question;\n \t\t \/* 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 {font-family: 'time new roman';\n content: \"C\u00e2u \" counter(question) \". \";\n font-weight: bold;\n display: inline;\n }\n h2 {font-family: 'Alegreya';\n font-size: 17px;\n font-weight: normal;\n margin-bottom: 0;\n display: inline;\n }\n .options {\n color: #000 ;\n font-family: 'Alegreya';\n display: block;\n margin: 3px 0;\n font-size: 17px;\n font-weight: normal;\n width: 95%;\n \n }\n\n .options label {\n display: block;\n break-inside: avoid; \/* tr\u00e1nh c\u1eaft label gi\u1eefa c\u1ed9t *\/\n -webkit-column-break-inside: avoid;\n -moz-column-break-inside: avoid;\n margin-bottom: 6px;\n}\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 border-radius: 30%;\n background-color: white;\n cursor: pointer;\n outline: none;\n }\n input[type=\"radio\"]:checked {background-color: #99ce34; border-color:#99ce34}\n input[type=\"checkbox\"]:checked{background-color: #CC9900;border-color: #CC9933;}\n \n \n .blank-container {\n display: inline-flex;\n align-items: center;\n margin-left: 10px;\n}\n\n.blank {\n border-bottom: 1px solid #333;\n width: 100px;\n max-width: 150px;\n text-align: center;\n outline: none;\n padding: 2px 4px;\n box-sizing: border-box;\n}\n.preview {\n text-align: center; \/* C\u0103n gi\u1eefa n\u1ed9i dung preview *\/\n margin-top: 8px;\n font-size: 1.1em; \/* K\u00edch th\u01b0\u1edbc ch\u1eef preview *\/\n color: #444; \/* M\u00e0u ch\u1eef preview *\/\n min-height: 30px; \/* \u0110\u1ea3m b\u1ea3o c\u00f3 kho\u1ea3ng tr\u1ed1ng khi ch\u01b0a nh\u1eadp *\/\n}\n #result {\n margin-top: 20px;\n font-weight: bold;\n }\n .katex { \n \n font-size: 17px; \/* \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\n\n<div id=\"timer\" style=\"font-size: 24px; text-align: center; margin-bottom: 20px;\"><\/div> \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<h1 style=\"font-size:15px; font-weight: bold; color:#333\"> I. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn<\/h1> \n<div class=\"section\" id=\"section-1\">\n <div class=\"question\">\n <h2>Cho h\u00e0m s\u1ed1 $f(x) = x^2 + x – 4$, n\u1ebfu $F(x)$ l\u00e0 m\u1ed9t nguy\u00ean h\u00e0m c\u1ee7a $f(x)$ tr\u00ean $\\mathbb{R}$ th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $F(6) – F(0)$ b\u1eb1ng<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> -66<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> -6<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> 6<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question1\"> 66<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>X\u00e9t h\u00ecnh ph\u1eb3ng $(H)$ gi\u1edbi h\u1ea1n b\u1edfi th\u1ecb h\u00e0m s\u1ed1 $y = \\cos x$, $y = 0$ (tr\u1ee5c ho\u00e0nh) v\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng $x = -\\pi, x = \\pi$. Kh\u1ed1i tr\u00f2n xoay \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh khi quay h\u00ecnh ph\u1eb3ng $(H)$ quanh tr\u1ee5c $Ox$ c\u00f3 th\u1ec3 t\u00edch l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> $\\pi$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question2\"> $\\pi^2$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> 6<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> 6$\\pi$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>H\u01b0\u1edbng t\u1edbi k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT, h\u1ecdc sinh hai l\u1edbp ch\u1ecdn 12A v\u00e0 12B c\u1ee7a tr\u01b0\u1eddng XYZ \u0111\u00e3 tham gia m\u1ed9t k\u1ef3 thi th\u1eed m\u00f4n To\u00e1n. K\u1ebft qu\u1ea3 thi \u0111\u01b0\u1ee3c t\u1ed5ng h\u1ee3p trong b\u1ea3ng ph\u00e2n b\u1ed1 t\u1ea7n s\u1ed1 gh\u00e9p l\u1edbp d\u01b0\u1edbi \u0111\u00e2y:\nNh\u1eadn \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 ch\u00ednh x\u00e1c khi so s\u00e1nh \u0111i\u1ec3m trung b\u00ecnh v\u00e0 \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m (do b\u1eb1ng \u0111\u1ed9 l\u1ec7ch chu\u1ea9n) c\u1ee7a hai l\u1edbp?<\/h2>\n <div class=\"quicklatex\" style=\"display:flex;justify-content:center;margin:15px 0;\">\n <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-a8b7cec1867fbeb7ee511044ce6de697_l3.svg\" class=\"ql-img-inline-formula \" alt=\" $\begin{array}{|c|c|c|c|c|c|} \hline \text{\u0110iểm} & [5; 6) & [6; 7) & [7; 8) & [8; 9) & [9; 10] \\ \hline \text{Số học sinh lớp 12A} & 2 & 6 & 10 & 14 & 8 \\ \hline \text{Số học sinh lớp 12B} & 8 & 14 & 10 & 6 & 2 \\ \hline \end{array}$ \" title=\"Rendered by QuickLaTeX.com\" height=\"74\" width=\"479\" style=\"vertical-align: -32px;\"\/>\n <\/div>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> L\u1edbp 12A c\u00f3 \u0111i\u1ec3m trung b\u00ecnh cao h\u01a1n l\u1edbp 12B, v\u00e0 \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m c\u1ee7a hai l\u1edbp b\u1eb1ng nhau<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question3\"> L\u1edbp 12A c\u00f3 \u0111i\u1ec3m trung b\u00ecnh cao h\u01a1n l\u1edbp 12B, v\u00e0 \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m c\u1ee7a hai l\u1edbp kh\u00e1c nhau<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> \u0110i\u1ec3m trung b\u00ecnh c\u1ee7a hai l\u1edbp b\u1eb1ng nhau, v\u00e0 \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m c\u0169ng b\u1eb1ng nhau<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> \u0110i\u1ec3m trung b\u00ecnh c\u1ee7a hai l\u1edbp b\u1eb1ng nhau, nh\u01b0ng \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m l\u1ea1i kh\u00e1c nhau<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Trong kh\u00f4ng gian v\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 $Oxyz$, tr\u1ee5c $Oz$ c\u00f3 m\u1ed9t vector ch\u1ec9 ph\u01b0\u01a1ng l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $\\overrightarrow{k}=(1;0;0)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $\\overrightarrow{k}=(0;1;0)$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question4\"> $\\overrightarrow{k}=(0;0;1)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $\\overrightarrow{k}=(1;1;1)$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Ti\u1ec7m c\u1eadn \u0111\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $y = \\dfrac{2x + 4}{x – 2}$ l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $y = 2$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $y = -2$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question5\"> $x = 2$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $x = -2$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh $\\log_7(11 – x) < 1$ l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $(4 ; +\\infty)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $(-\\infty ; 11)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $(-\\infty ; 4)$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question6\"> $(4 ; 11)$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Trong kh\u00f4ng gian v\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 $Oxyz$, m\u1eb7t ph\u1eb3ng $(Oxy)$ c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $x = 0$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $y = 0$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question7\"> $z = 0$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $x + y + z = 0$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Cho h\u00ecnh ch\u00f3p $S.ABCD$ c\u00f3 \u0111\u00e1y $ABCD$ l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 $SA \\perp AD$. M\u1eb7t ph\u1eb3ng n\u00e0o sau \u0111\u00e2y vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng $(SAB)$?<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $(SAC)$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question8\"> $(SBC)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $(SCD)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $(SBD)$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $3^x = 6$ l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> $x = 2$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> $x = 3$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> $x = \\log_6 3$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question9\"> $x = 1 + \\log_3 2$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Cho c\u1ea5p s\u1ed1 nh\u00e2n $(u_n)$ c\u00f3 $u_1 = 1$ v\u00e0 $u_4 = 8$. Gi\u00e1 tr\u1ecb c\u1ee7a s\u1ed1 h\u1ea1ng $u_7$ l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> 32<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question10\"> 64<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> 128<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> 256<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>H\u00e0m s\u1ed1 $y = -2x^3 + 9x^2 + 24x – 11$ \u0111\u1ed3ng 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=\"true\" name=\"question11\"> $(-1; 4)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $(-\\infty; -1)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $(-\\infty; 4)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> (4; +$\\infty$)<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Cho h\u00ecnh h\u1ed9p $ABCD.A’B’C’D’$. \u0110\u1eb3ng th\u1ee9c vector n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang?<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question12\"> $\\overrightarrow{AD} + \\overrightarrow{D’C’} + \\overrightarrow{CC’} = \\overrightarrow{AC}$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $\\overrightarrow{BC} + \\overrightarrow{BA} + \\overrightarrow{BD’} = \\overrightarrow{BB’}$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $\\overrightarrow{BC} + \\overrightarrow{BA} = \\overrightarrow{D’A} + \\overrightarrow{D’C’}$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $\\overrightarrow{BA} + \\overrightarrow{DD’} + \\overrightarrow{BD’} = \\overrightarrow{BC}$<\/label>\n <\/div>\n <\/div>\n\n<\/div>\n\n<h1 style=\"font-size: 15px; font-weight: bold; color: #333\"> II. 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 $f(x) = \\cos(2x) – x$.<\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> $f(0) = 1$; $f(-\\pi) = -\\pi – 1$<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> \u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 $f$ cho l\u00e0 $f'(x) = -2\\sin(2x) – 1$<\/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 $\\left[-\\frac{\\pi}{4}; 0 \\right]$ l\u00e0 $x = -\\dfrac{\\pi}{12}$<\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question13\"> Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a $f(x)$ tr\u00ean \u0111o\u1ea1n $\\left[-\\frac{\\pi}{4}; \\frac{\\pi}{4} \\right]$ l\u00e0 $\\dfrac{\\pi}{4}$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Trong m\u1ed9t th\u1eed nghi\u1ec7m, m\u1ed9t \u00f4 t\u00f4 xu\u1ea5t ph\u00e1t t\u1eeb tr\u1ea1ng th\u00e1i ngh\u1ec9. Xe t\u0103ng t\u1ed1c \u0111\u1ebfn v\u1eadn t\u1ed1c c\u1ef1c \u0111\u1ea1i, sau \u0111\u00f3 th\u1ef1c hi\u1ec7n qu\u00e1 tr\u00ecnh h\u00e3m phanh nh\u1eb9 nh\u00e0ng \u0111\u1ec3 d\u1eebng h\u1eb3n. To\u00e0n b\u1ed9 qu\u00e1 tr\u00ecnh k\u00e9o d\u00e0i 50 gi\u00e2y. \u0110\u1ed3 th\u1ecb v\u1eadn t\u1ed1c $v(t)$ c\u1ee7a \u00f4 t\u00f4 nh\u01b0 h\u00ecnh v\u1ebd, \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $v(t)$ tr\u00ean \u0111o\u1ea1n $[0; 24]$ l\u00e0 m\u1ed9t ph\u1ea7n c\u1ee7a parabol c\u00f3 \u0111\u1ec9nh $I(18; 27)$, v\u00e0 tr\u00ean \u0111o\u1ea1n $[24; 50]$ l\u00e0 \u0111o\u1ea1n th\u1eb3ng $AB$, v\u1edbi $A(24; 24)$ v\u00e0 $B(50; 0)$.<\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question14\"> Trong 24 gi\u00e2y \u0111\u1ea7u ti\u00ean, v\u1eadn t\u1ed1c c\u1ee7a \u00f4 t\u00f4 lu\u00f4n t\u0103ng<\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question14\"> T\u1ea1i th\u1eddi \u0111i\u1ec3m $t = 12$ gi\u00e2y, gia t\u1ed1c c\u1ee7a \u00f4 t\u00f4 l\u00e0 $2$ m\/s$^2$<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question14\"> V\u1eadn t\u1ed1c trung b\u00ecnh c\u1ee7a \u00f4 t\u00f4 t\u1eeb l\u00fac xu\u1ea5t ph\u00e1t \u0111\u1ebfn $t = 28$ gi\u00e2y b\u1eb1ng v\u1eadn t\u1ed1c th\u1eddi c\u1ee7a \u00f4 t\u00f4 t\u1ea1i $t = 28$ gi\u00e2y<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question14\"> Trong kho\u1ea3ng th\u1eddi gian t\u1eeb 20 gi\u00e2y \u0111\u1ebfn 21 gi\u00e2y, \u00f4 t\u00f4 \u0111i qua v\u1ecb tr\u00ed ch\u00ednh gi\u1eefa c\u1ee7a to\u00e0n b\u1ed9 qu\u00e3ng \u0111\u01b0\u1eddng di chuy\u1ec3n<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Nh\u00e0 m\u00e1y XYZ chuy\u00ean s\u1ea3n xu\u1ea5t linh ki\u1ec7n \u0111i\u1ec7n t\u1eed ti\u00eau d\u00f9ng ph\u1ee5c v\u1ee5 th\u00f4ng, quy tr\u00ecnh hi\u1ec7n t\u1ea1i cho th\u1ea5y t\u1ef7 l\u1ec7 s\u1ea3n ph\u1ea9m l\u1ed7i l\u00e0 2\\%. \u0110\u1ec3 sang l\u1ecdc s\u1ea3n ph\u1ea9m, nh\u00e0 m\u00e1y s\u1eed d\u1ee5ng m\u1ed9t robot ki\u1ec3m tra t\u1ef1 \u0111\u1ed9ng. Robot n\u00e0y ph\u00e1t hi\u1ec7n \u0111\u00fang linh ki\u1ec7n l\u1ed7i v\u1edbi x\u00e1c su\u1ea5t 85\\%, tuy nhi\u00ean c\u0169ng c\u00f3 5\\% kh\u1ea3 n\u0103ng b\u00e1o l\u1ed7i nh\u1ea7m cho m\u1ed9t linh ki\u1ec7n t\u1ed1t. Gi\u00e1 s\u00fat m\u1ed9t linh ki\u1ec7n \u0111\u01b0\u1ee3c ch\u1ecdn ng\u1eabu nhi\u00ean \u0111\u1ec3 ki\u1ec3m tra.<\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question15\"> X\u00e1c su\u1ea5t linh ki\u1ec7n n\u00e0y c\u00f3 l\u1ed7i v\u00e0 \u0111\u01b0\u1ee3c robot b\u00e1o l\u00e0 l\u1ed7i b\u1eb1ng 0,01<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> X\u00e1c su\u1ea5t linh ki\u1ec7n n\u00e0y b\u1ecb robot b\u00e1o l\u00e0 l\u1ed7i b\u1eb1ng 0,066<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> X\u00e1c su\u1ea5t robot \u0111\u01b0a ra k\u1ebft lu\u1eadn ch\u00ednh x\u00e1c v\u1ec1 tr\u1ea1ng th\u00e1i th\u1ef1c t\u1ebf c\u1ee7a linh ki\u1ec7n b\u1eb1ng 0,948<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> \u0110\u1ec3 \u0111\u1ea3m b\u1ea3o r\u1eb1ng khi robot \u0111\u00e3 b\u00e1o m\u1ed9t linh ki\u1ec7n l\u00e0 l\u1ed7i, th\u00ec x\u00e1c su\u1ea5t linh ki\u1ec7n \u0111\u00f3 th\u1ef1c s\u1ef1 l\u1ed7i ph\u1ea3i \u0111\u1ea1t \u00edt nh\u1ea5t 85\\%. \u0110\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec1u n\u00e0y, hi\u1ec7u n\u0103ng robot kh\u00f4ng \u0111\u1ed5i, th\u00ec t\u1ef7 l\u1ec7 l\u1ed7i trong l\u00f4 s\u1ea3n ph\u1ea9m \u0111\u01b0\u1ee3c ki\u1ec3m tra ph\u1ea3i \u1edf m\u1ee9c t\u1ed1i thi\u1ec3u l\u00e0 25\\%<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>M\u1ed9t c\u00f4ng ty logistics s\u1eed d\u1ee5ng m\u00e1y bay kh\u00f4ng ng\u01b0\u1eddi l\u00e1i (drone) \u0111\u1ec3 v\u1eadn chuy\u1ec3n h\u00e0ng h\u00f3a trong khu v\u1ef1c \u0111\u00f4 th\u1ecb th\u00f4ng minh. \u0110\u1ec3 \u0111\u1ea3m b\u1ea3o an to\u00e0n, m\u1ed9t v\u00f9ng bay theo h\u00ecnh c\u1ea7u $(S_1)$, t\u00e2m t\u1ea1i tr\u1ea1m ki\u1ec3m so\u00e1t trung t\u00e2m $O(0; 0; 0)$, c\u00f3 b\u00e1n k\u00ednh $R_1 = 100$ m. Drone \u0111\u01b0\u1ee3c ph\u00e9p ho\u1ea1t \u0111\u1ed9ng trong m\u1ed9t v\u00f9ng bay gi\u00e1m s\u00e1t h\u00ecnh c\u1ea7u $(S_2)$, m\u1ecf r\u1ed9ng h\u01a1n, c\u00f3 c\u00f9ng t\u00e2m $O$ v\u00e0 b\u00e1n k\u00ednh $R_2 = 60\\sqrt{101}$ m. M\u1ed9t drone di chuy\u1ec3n v\u1edbi t\u1ed1c \u0111\u1ed9 kh\u00f4ng \u0111\u1ed5i theo m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng t\u1eeb khu xu\u1ea5t ph\u00e1t $M(-800; 0; 60)$ \u0111\u1ebfn \u0111i\u1ec3m giao nhau $N(800; 0; 60)$.<\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question16\"> Ph\u01b0\u01a1ng tr\u00ecnh tham s\u1ed1 c\u1ee7a \u0111\u01b0\u1eddng bay $MN$ l\u00e0 $\\begin{cases}\nx = -800 + 1600 t\\\\ y = 0\\\\ z = 60\n\\end{cases}$ (t l\u00e0 tham s\u1ed1 th\u1ef1c)<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question16\"> Drone \u0111i v\u00e0o v\u00f9ng bay gi\u00e1m s\u00e1t $(S_2)$ t\u1ea1i \u0111i\u1ec3m $A(-600; 0; 60)$ v\u00e0 ra kh\u1ecfi t\u1ea1i \u0111i\u1ec3m $B(600; 0; 60)$<\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question16\"> T\u1ed5ng qu\u00e3ng \u0111\u01b0\u1eddng drone bay b\u00ean trong v\u00f9ng bay gi\u00e1m s\u00e1t $(S_2)$ nh\u01b0ng \u1edf b\u00ean ngo\u00e0i v\u00f9ng bay h\u00ecnh c\u1ea7u $(S_1)$ l\u00e0 1200 m<\/label>\n <\/div>\n <\/div>\n\n<\/div>\n\n<h1 style=\"font-size:15px;color:#333\"> III. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111i\u1ec1n khuy\u1ebft<\/h1> \n<div class=\"section\" id=\"section-3\">\n <div class=\"question\">\n <h2>Cho h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng $ABCD.A’B’C’D’$, c\u00f3 \u0111\u00e1y $ABCD$ l\u00e0 h\u00ecnh thoi c\u1ea1nh b\u1eb1ng 2 v\u00e0 g\u00f3c $\\widehat{BAD} = 120^\\circ$. C\u1ea1nh b\u1ec1n $AA’ = 3$. Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m $D$ \u0111\u1ebfn m\u1eb7t ph\u1eb3ng $(B’AC)$ b\u1eb1ng bao nhi\u00eau?\n5$}<\/h2>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$1{,\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>M\u1ed9t c\u00f4ng ty du l\u1ecbch thi\u1ebft k\u1ebf tour \u0111i b\u1ed9 kh\u00e1m ph\u00e1 khu ph\u1ed1 c\u1ed5 g\u1ed3m 5 \u0111\u1ecba \u0111i\u1ec3m tham quan ch\u00ednh $A$, $B$, $C$, $D$, $E$. S\u01a1 \u0111\u1ed3 c\u00e1c tuy\u1ebfn \u0111\u01b0\u1eddng hai chi\u1ec1u v\u00e0 chi\u1ec1u d\u00e0i c\u1ee7a ch\u00fang (\u0111\u01a1n v\u1ecb: kilomet) \u0111\u01b0\u1ee3c cho nh\u01b0 h\u00ecnh v\u1ebd. H\u01b0\u1edbng d\u1eabn vi\u00ean d\u1eabn \u0111o\u00e0n xu\u1ea5t ph\u00e1t t\u1eeb \u0111\u1ecba \u0111i\u1ec3m $A$, c\u0103n \u0111i qua t\u1ea5t c\u1ea3 c\u00e1c tuy\u1ebfn \u0111\u01b0\u1eddng \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n tr\u00ean s\u01a1 \u0111\u1ed3 \u00edt nh\u1ea5t m\u1ed9t l\u1ea7n \u0111\u1ec3 gi\u1edbi thi\u1ec7u tr\u1ecdn v\u1eb9n v\u1ebb \u0111\u1eb9p c\u1ee7a ph\u1ed1 c\u1ed5, v\u00e0 cu\u1ed1i c\u00f9ng quay v\u1ec1 l\u1ea1i \u0111\u1ecba \u0111i\u1ec3m $A$. T\u1ed5ng qu\u00e3ng \u0111\u01b0\u1eddng \u0111i ng\u1eafn nh\u1ea5t l\u00e0 bao nhi\u00eau? (\u0111\u01a1n v\u1ecb: kilomet).\n2$}<\/h2>\n <div class=\"quicklatex\" style=\"display:flex;justify-content:center;margin:15px 0;\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-d366a60506862d1c9c4036b4b9dea26e_l3.svg\" height=\"319\" width=\"347\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/div>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$4{,\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-2\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>\u0110\u1ed9i kh\u1ea3o s\u00e1t bi\u1ec3n d\u00f9ng m\u1ed9t thi\u1ebft b\u1ecb t\u1ef1 h\u00e0nh d\u01b0\u1edbi n\u01b0\u1edbc (AUV) \u0111\u1ec3 kh\u1ea3o s\u00e1t chi ti\u1ebft m\u1ed9t khu v\u1ef1c bi\u1ec3n n\u00f4ng, v\u1edbi hy v\u1ecdng x\u00e1c \u0111\u1ecbnh ch\u00ednh x\u00e1c c\u1ea5u tr\u00fac m\u1ed9t x\u00e1c t\u00e0u c\u1ed5. \u0110\u1ec3 ph\u1ee5c v\u1ee5 c\u00f4ng t\u00e1c \u0111i\u1ec1u tra, robot l\u1eadp m\u1ed9t h\u1ee3p t\u00e1c \u0111o $Oxyz$, t\u00e0u ch\u1ec9 huy c\u00f3 nhi\u1ec7m v\u1ee5 di chuy\u1ec3n \u0111\u1ebfn \u0111i\u1ec3m c\u1ed1 \u0111\u1ecbnh $O$, m\u1eb7t ph\u1eb3ng $Oxy$ tr\u00f9ng v\u1edbi m\u1eb7t bi\u1ec3n (c\u00f2n nh\u01b0 y\u00ean l\u1eb7ng), v\u00e0 tr\u1ee5c $Oz$ h\u01b0\u1edbng th\u1eb3ng \u0111\u1ee9ng xu\u1ed1ng bi\u1ec3n s\u00e2u (\u0111\u01a1n v\u1ecb tr\u00ean c\u00e1c tr\u1ee5c l\u00e0 m\u00e9t). B\u1ed5n phao sonar, k\u00fd hi\u1ec7u l\u00e0 A, B, C v\u00e0 D, \u0111\u01b0\u1ee3c th\u1ea3 tr\u00ean m\u1eb7t bi\u1ec3n t\u1ea1i c\u00e1c v\u1ecb tr\u00ed c\u00f3 t\u1ecda \u0111\u1ed9 l\u1ea7n l\u01b0\u1ee3t l\u00e0 $A(25;0;0)$, $B(0;25;0)$, $C(-25;0;0)$ v\u00e0 $D(0;-25;0)$. Sau m\u1ed9t th\u1eddi gian \u0111\u00f3, AUV \u0111\u00e3 ph\u00e1t hi\u1ec7n m\u1ed9t v\u1eadt th\u1ec3 $M(x;y;z)$ n\u1eb1m d\u01b0\u1edbi m\u1eb7t n\u01b0\u1edbc ($z > 0$), kh\u1ea3 n\u0103ng x\u00e1c t\u00e0u c\u1ed5. H\u1ec7 th\u1ed1ng ph\u00e2n t\u00edch t\u00edn hi\u1ec7u AUV \u0111\u00e3 t\u00ednh to\u00e1n v\u00e0 truy\u1ec1n v\u1ec1 t\u00e0u ch\u1ec9 huy v\u1ec1 ph\u01b0\u01a1ng kho\u1ea3ng c\u00e1ch (\u0111\u01a1n v\u1ecb $m^2$) t\u1eeb $M$ \u0111\u1ebfn sonar nh\u01b0 sau: $MA^2 = 1400$, $MB^2 = 1150$, $MC^2 = 2900$, $MD^2 = 3150$. Kho\u1ea3ng c\u00e1ch t\u1eeb t\u00e0u ch\u1ec9 huy (g\u1ed1c $O$) \u0111\u1ebfn h\u00ecnh chi\u1ebfu vu\u00f4ng g\u00f3c c\u1ee7a \u0111i\u1ec3m $M$ l\u00ean m\u1eb7t ph\u1eb3ng $Oxy$ b\u1eb1ng bao nhi\u00eau m\u00e9t (l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng ph\u1ea7n ch\u1ee5c)? \n<\/h2>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$25$\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-3\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>M\u1ed9t c\u00f4ng ty h\u1ea3i s\u1ea3n mu\u1ed1n thi\u1ebft k\u1ebf logo h\u00ecnh con c\u00e1 theo h\u00ecnh v\u1ebd sau. Logo \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf c\u00f3 d\u1ea1ng h\u00ecnh thoi v\u1edbi chi\u1ec1u d\u00e0i $AB = 22$ dm v\u00e0 chi\u1ec1u r\u1ed9ng $BC = 13$ dm. Trong h\u00ecnh ch\u1eef nh\u1eadt, logo h\u00ecnh con c\u00e1 (ph\u1ea7n t\u00f4 m\u00e0u) \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh nh\u01b0 sau: \u0110i\u1ec3m $O$ l\u00e0 mi\u1ec7ng c\u00e1, n\u1eb1m tr\u00ean c\u1ea1nh $AD$ v\u00e0 $OA = 5$ dm. \u0110o\u1ea1n th\u1eb3ng $OH$ ch\u1ea1y d\u1ecdc theo th\u00e2n c\u00e1, song song v\u1edbi $AB$ v\u00e0 c\u00f3 \u0111\u1ed9 d\u00e0i $OH = 20$ dm. Th\u00e2n c\u00e1 \u0111\u01b0\u1ee3c gi\u1edbi h\u1ea1n b\u1edfi hai parabol: parabol ph\u00eda tr\u00ean c\u00f3 \u0111\u1ec9nh l\u00e0 $E$ n\u1eb1m tr\u00ean c\u1ea1nh $AB$ sao cho $AE = 10$ dm, parabol ph\u00eda d\u01b0\u1edbi c\u00f3 \u0111\u1ec9nh l\u00e0 $F$ n\u1eb1m tr\u00ean c\u1ea1nh $CD$ sao cho $DF = 10$ dm; ph\u1ea7n d\u01b0\u1edbi c\u1ee7a th\u00e2n H \u0111\u1ebfn c\u1ea1nh $BC$ \u0111\u01b0\u1ee3c gi\u1edbi h\u1ea1n b\u1edfi s\u1ef1 k\u00e9o d\u00e0i c\u1ee7a hai parabol v\u1eeba n\u00eau. C\u1ea3 hai parabol \u0111\u1ec1u \u0111i qua \u0111i\u1ec3m $O$ v\u00e0 \u0111i\u1ec3m $H$. C\u00f4ng ty mu\u1ed1n thi c\u00f4ng ph\u1ea7n logo h\u00ecnh con c\u00e1 b\u1eb1ng m\u1ed9t lo\u1ea1i v\u1eadt li\u1ec7u \u0111\u1eb7c bi\u1ec7t v\u1edbi chi ph\u00ed 6 tri\u1ec7u \u0111\u1ed3ng m\u1ed7i m\u00e9t vu\u00f4ng. H\u1ecfi t\u1ed5ng chi ph\u00ed \u0111\u1ec3 l\u00e0m logo con c\u00e1 n\u00e0y l\u00e0 bao nhi\u00eau tri\u1ec7u \u0111\u1ed3ng (k\u1ebft qu\u1ea3 l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb)?<\/h2>\n <div class=\"quicklatex\" style=\"display:flex;justify-content:center;margin:15px 0;\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-988e21dae53d576114ec9be0ab0544c2_l3.svg\" height=\"215\" width=\"366\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/div>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$11$\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-4\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>X\u01b0\u1edfng g\u1ed7 XYZ chuy\u00ean s\u1ea3n xu\u1ea5t ch\u1eadu bonsai ngh\u1ec7 thu\u1eadt. M\u1ed7i ng\u00e0y, x\u01b0\u1edfng c\u00f3 th\u1ec3 s\u1ea3n xu\u1ea5t t\u1ed1i \u0111a 150 chi\u1ebfc ch\u1eadu. N\u1ebfu x\u01b0\u1edfng s\u1ea3n xu\u1ea5t $x$ chi\u1ebfc ch\u1eadu ($x \\in \\mathbb{N}$, $x \\leq 150$) v\u00e0 b\u00e1n h\u1ebft th\u00ec t\u1ed5ng doanh thu l\u00e0 $T(x) = -0,5x^2 + 265x$ (ngh\u00ecn \u0111\u1ed3ng). Chi ph\u00ed mua nguy\u00ean v\u1eadt li\u1ec7u cho \u0111\u1ec3 s\u1ea3n xu\u1ea5t $x$ chi\u1ebfc ch\u1eadu (ch\u01b0a chi\u1ebft kh\u1ea5u) l\u00e0 $A(x) = 75x + 250 + \\dfrac{12000}{x}$ (ngh\u00ecn \u0111\u1ed3ng). Ch\u00ednh s\u00e1ch chi\u1ebft kh\u1ea5u mua nguy\u00ean v\u1eadt li\u1ec7u: n\u1ebfu mua nguy\u00ean v\u1eadt li\u1ec7u cho t\u1eeb 80 chi\u1ebfc ch\u1eadu tr\u1edf l\u00ean th\u00ec gi\u1ea3m gi\u00e1 15\\% tr\u00ean chi ph\u00ed $A(x)$, m\u00e0 kh\u00f4ng th\u00ec kh\u00f4ng \u0111\u01b0\u1ee3c gi\u1ea3m gi\u00e1. Chi ph\u00ed b\u00e1n h\u00e0ng v\u00e0 marketing l\u00e0 $B(x) = 0,1x^2 + 3x + 220$ (ngh\u00ecn \u0111\u1ed3ng). Chi ph\u00ed v\u1eadn h\u00e0nh v\u00e0 ho\u1ea1t \u0111\u1ed9ng kinh doanh l\u00e0 $C(x) = 0,2x^2 + 5x + 630$ (ngh\u00ecn \u0111\u1ed3ng). Thu\u1ebf thu nh\u1eadp doanh nghi\u1ec7p l\u00e0 5\\% tr\u00ean l\u1ee3i nhu\u1eadn tr\u01b0\u1edbc thu\u1ebf. H\u1ecfi l\u1ee3i nhu\u1eadn sau thu\u1ebf l\u1edbn nh\u1ea5t l\u00e0 bao nhi\u00eau (\u0111\u01a1n v\u1ecb tri\u1ec7u \u0111\u1ed3ng, k\u1ebft qu\u1ea3 l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb)?\n<\/h2>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$20$\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-5\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>C\u00f4ng ch\u1ee9c Vi\u00ean ch\u1ee9c (CCVC) x\u00e3 V\u0103n Minh \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i theo nh\u00f3m c\u00f4ng t\u00e1c: Nh\u00f3m KC g\u1ed3m c\u00e1c CCVC c\u00f3 h\u01a1n 25 n\u0103m c\u00f4ng t\u00e1c, chi\u1ebfm 60\\% t\u1ed5ng s\u1ed1 CCVC. Nh\u00f3m ND g\u1ed3m c\u00e1c CCVC c\u00f3 t\u1eeb 25 n\u0103m c\u00f4ng t\u00e1c tr\u1edf xu\u1ed1ng, chi\u1ebfm 40\\% t\u1ed5ng s\u1ed1 CCVC. Nh\u1eb1m \u0111\u00e1nh gi\u00e1 v\u00e0 s\u1eafp x\u1ebfp l\u1ea1i c\u00f4ng vi\u1ec7c, T\u00ecnh ti\u1ebfn h\u00e0nh s\u1eafp x\u1ebfp CCVC x\u00e3 V\u0103n Minh qua 2 v\u00f2ng: \u0110\u1ed1i v\u1edbi CCVC nh\u00f3m KC, t\u1ef7 l\u1ec7 v\u01b0\u1ee3t qua v\u00f2ng 1 l\u00e0 30\\%. \u0110\u1ed1i v\u1edbi CCVC nh\u00f3m ND, t\u1ef7 l\u1ec7 v\u01b0\u1ee3t qua v\u00f2ng 1 l\u00e0 15\\%. V\u00f2ng 2 (k\u00e9m th\u1eddi gian chuy\u1ebfn m\u00f4n v\u00e0 nghi\u1ec7p v\u1ee5): Chi nh\u1eefng CCVC \u0111\u00e3 v\u01b0\u1ee3t qua v\u00f2ng 1 m\u1ed7i nh\u00f3m tham gia v\u00e0o v\u00f2ng 2. Trong s\u1ed1 nh\u1eefng CCVC \u0111\u00e3 v\u01b0\u1ee3t qua v\u00f2ng 1, t\u1ef7 l\u1ec7 ti\u1ebfp t\u1ee5c v\u01b0\u1ee3t qua v\u00f2ng 2 l\u00e0 75\\%. Ch\u1ecdn ng\u1eabu nhi\u00ean m\u1ed9t CCVC c\u1ee7a x\u00e3 V\u0103n Minh, x\u00e1c su\u1ea5t \u0111\u1ec3 ch\u1ecdn \u0111\u01b0\u1ee3c ng\u01b0\u1eddi v\u01b0\u1ee3t qua c\u1ea3 2 v\u00f2ng?\n18$}<\/h2>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$0{,\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-6\"><\/span>\n <\/div>\n\n<\/div>\n\n<\/form>\n<button type=\"button\" id=\"submit-button\">N\u1ed9p b\u00e0i<\/button>\n<div id=\"result\"><\/div>\n\n<script>\ndocument.addEventListener(\"DOMContentLoaded\", function () {\n \/\/ T\u00ecm t\u1ea5t c\u1ea3 c\u00e1c div ch\u1ee9a class=\"quicklatex\" \u0111\u1ec3 b\u1ecf qua khi render KaTeX\n const quicklatexElements = document.querySelectorAll('div.quicklatex');\n\n \/\/ KaTeX render c\u00f4ng th\u1ee9c b\u00ecnh th\u01b0\u1eddng cho to\u00e0n b\u1ed9 trang, ngo\u1ea1i tr\u1eeb c\u00e1c div.quicklatex\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 ignoredElements: ['div.quicklatex'] \/\/ B\u1ecf qua div.quicklatex khi render KaTeX\n });\n\n \/\/ Sau khi KaTeX render xong, QuickLaTeX x\u1eed l\u00fd c\u00e1c c\u00f4ng th\u1ee9c trong div.quicklatex\n quicklatexElements.forEach(function(element) {\n const latex = element.innerText; \/\/ L\u1ea5y n\u1ed9i dung latex trong div.quicklatex\n QuickLaTeX.render(latex, element); \/\/ D\u00f9ng QuickLaTeX \u0111\u1ec3 render c\u00f4ng th\u1ee9c\n });\n});\n\n<\/script>\n\n\n<script>\n\/\/ Move this outside of calculateScore\n \n\n function updatePreview(input) {\n const previewElement = input.closest('.blank-container').nextElementSibling;\n \n let userAnswer = input.value.trim();\n\n if (!userAnswer) {\n previewElement.style.display = 'none'; \/\/ \u1ea8n khi kh\u00f4ng c\u00f3 n\u1ed9i dung\n previewElement.innerHTML = '';\n return;\n }\n\n previewElement.style.display = 'block'; \/\/ Hi\u1ec3n th\u1ecb khi c\u00f3 n\u1ed9i dung\n\n try {\n katex.render(userAnswer, previewElement, {\n throwOnError: false \/\/ Kh\u00f4ng b\u00e1o l\u1ed7i khi c\u00fa ph\u00e1p LaTeX sai\n });\n } catch (err) {\n previewElement.innerHTML = 'L\u1ed7i c\u00f4ng th\u1ee9c LaTeX!';\n }\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\n<\/script>\n\n\n<script>\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\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u00e0i Test Tr\u1eafc Nghi\u1ec7m T\u00ean: I. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn Cho h\u00e0m s\u1ed1 $f(x) = x^2 + x – 4$, n\u1ebfu $F(x)$ l\u00e0 m\u1ed9t nguy\u00ean h\u00e0m c\u1ee7a $f(x)$ tr\u00ean $\\mathbb{R}$ th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $F(6) – F(0)$ b\u1eb1ng -66 -6 6 66 X\u00e9t h\u00ecnh ph\u1eb3ng $(H)$ gi\u1edbi h\u1ea1n b\u1edfi th\u1ecb h\u00e0m […]<\/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-1405","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/1405","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=1405"}],"version-history":[{"count":20,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/1405\/revisions"}],"predecessor-version":[{"id":1426,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/1405\/revisions\/1426"}],"wp:attachment":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1405"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1405"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":1405,"date":"2025-11-02T21:52:00","date_gmt":"2025-11-02T14:52:00","guid":{"rendered":"https:\/\/sunflower-math.com\/?p=1405"},"modified":"2025-11-02T23:37:38","modified_gmt":"2025-11-02T16:37:38","slug":"1405","status":"publish","type":"post","link":"https:\/\/sunflower-math.com\/?p=1405","title":{"rendered":"moi 2025"},"content":{"rendered":"\n\n\n\n \n \n B\u00e0i Test Tr\u1eafc Nghi\u1ec7m<\/title>\n <link href=\"https:\/\/fonts.googleapis.com\/css2?family=Alegreya:wght@400;500;600;700&display=swap\" rel=\"stylesheet\">\n \n \n \n \n\t<link rel=\"stylesheet\" href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.21\/dist\/katex.min.css\" integrity=\"sha384-zh0CIslj+VczCZtlzBcjt5ppRcsAmDnRem7ESsYwWwg3m\/OaJ2l4x7YBZl9Kxxib\" crossorigin=\"anonymous\">\n\n \n <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.21\/dist\/katex.min.js\" integrity=\"sha384-Rma6DA2IPUwhNxmrB\/7S3Tno0YY7sFu9WSYMCuulLhIqYSGZ2gKCJWIqhBWqMQfh\" crossorigin=\"anonymous\"><\/script>\n\n \n <script defer src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.21\/dist\/contrib\/auto-render.min.js\" integrity=\"sha384-hCXGrW6PitJEwbkoStFjeJxv+fSOOQKOPbJxSfM6G5sWZjAyWhXiTIIAmQqnlLlh\" crossorigin=\"anonymous\"\n onload=\"renderMathInElement(document.body);\"><\/script> \n \n <style> \n body {\n font-family: 'Alegreya', serif;\n line-height: 1.5;\n font-size: 17px;\n } \n .question {\n font-family: \"Times New Roman\", Times, Georgia, \"Noto Serif\", serif;\n counter-increment: question;\n \t\t \/* 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 {font-family: 'time new roman';\n content: \"C\u00e2u \" counter(question) \". \";\n font-weight: bold;\n display: inline;\n }\n h2 {font-family: 'Alegreya';\n font-size: 17px;\n font-weight: normal;\n margin-bottom: 0;\n display: inline;\n }\n .options {\n color: #000 ;\n font-family: 'Alegreya';\n display: block;\n margin: 3px 0;\n font-size: 17px;\n font-weight: normal;\n width: 95%;\n \n }\n\n .options label {\n display: block;\n break-inside: avoid; \/* tr\u00e1nh c\u1eaft label gi\u1eefa c\u1ed9t *\/\n -webkit-column-break-inside: avoid;\n -moz-column-break-inside: avoid;\n margin-bottom: 6px;\n}\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 border-radius: 30%;\n background-color: white;\n cursor: pointer;\n outline: none;\n }\n input[type=\"radio\"]:checked {background-color: #99ce34; border-color:#99ce34}\n input[type=\"checkbox\"]:checked{background-color: #CC9900;border-color: #CC9933;}\n \n \n .blank-container {\n display: inline-flex;\n align-items: center;\n margin-left: 10px;\n}\n\n.blank {\n border-bottom: 1px solid #333;\n width: 100px;\n max-width: 150px;\n text-align: center;\n outline: none;\n padding: 2px 4px;\n box-sizing: border-box;\n}\n.preview {\n text-align: center; \/* C\u0103n gi\u1eefa n\u1ed9i dung preview *\/\n margin-top: 8px;\n font-size: 1.1em; \/* K\u00edch th\u01b0\u1edbc ch\u1eef preview *\/\n color: #444; \/* M\u00e0u ch\u1eef preview *\/\n min-height: 30px; \/* \u0110\u1ea3m b\u1ea3o c\u00f3 kho\u1ea3ng tr\u1ed1ng khi ch\u01b0a nh\u1eadp *\/\n}\n #result {\n margin-top: 20px;\n font-weight: bold;\n }\n .katex { \n \n font-size: 17px; \/* \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\n\n<div id=\"timer\" style=\"font-size: 24px; text-align: center; margin-bottom: 20px;\"><\/div> \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<h1 style=\"font-size:15px; font-weight: bold; color:#333\"> I. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn<\/h1> \n<div class=\"section\" id=\"section-1\">\n <div class=\"question\">\n <h2>Cho h\u00e0m s\u1ed1 $f(x) = x^2 + x – 4$, n\u1ebfu $F(x)$ l\u00e0 m\u1ed9t nguy\u00ean h\u00e0m c\u1ee7a $f(x)$ tr\u00ean $\\mathbb{R}$ th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $F(6) – F(0)$ b\u1eb1ng<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> -66<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> -6<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question1\"> 6<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question1\"> 66<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>X\u00e9t h\u00ecnh ph\u1eb3ng $(H)$ gi\u1edbi h\u1ea1n b\u1edfi th\u1ecb h\u00e0m s\u1ed1 $y = \\cos x$, $y = 0$ (tr\u1ee5c ho\u00e0nh) v\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng $x = -\\pi, x = \\pi$. Kh\u1ed1i tr\u00f2n xoay \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh khi quay h\u00ecnh ph\u1eb3ng $(H)$ quanh tr\u1ee5c $Ox$ c\u00f3 th\u1ec3 t\u00edch l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> $\\pi$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question2\"> $\\pi^2$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> 6<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question2\"> 6$\\pi$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>H\u01b0\u1edbng t\u1edbi k\u1ef3 thi t\u1ed1t nghi\u1ec7p THPT, h\u1ecdc sinh hai l\u1edbp ch\u1ecdn 12A v\u00e0 12B c\u1ee7a tr\u01b0\u1eddng XYZ \u0111\u00e3 tham gia m\u1ed9t k\u1ef3 thi th\u1eed m\u00f4n To\u00e1n. K\u1ebft qu\u1ea3 thi \u0111\u01b0\u1ee3c t\u1ed5ng h\u1ee3p trong b\u1ea3ng ph\u00e2n b\u1ed1 t\u1ea7n s\u1ed1 gh\u00e9p l\u1edbp d\u01b0\u1edbi \u0111\u00e2y:\nNh\u1eadn \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y l\u00e0 ch\u00ednh x\u00e1c khi so s\u00e1nh \u0111i\u1ec3m trung b\u00ecnh v\u00e0 \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m (do b\u1eb1ng \u0111\u1ed9 l\u1ec7ch chu\u1ea9n) c\u1ee7a hai l\u1edbp?<\/h2>\n <div class=\"quicklatex\" style=\"display:flex;justify-content:center;margin:15px 0;\">\n <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-a8b7cec1867fbeb7ee511044ce6de697_l3.svg\" class=\"ql-img-inline-formula \" alt=\" $\begin{array}{|c|c|c|c|c|c|} \hline \text{\u0110iểm} & [5; 6) & [6; 7) & [7; 8) & [8; 9) & [9; 10] \\ \hline \text{Số học sinh lớp 12A} & 2 & 6 & 10 & 14 & 8 \\ \hline \text{Số học sinh lớp 12B} & 8 & 14 & 10 & 6 & 2 \\ \hline \end{array}$ \" title=\"Rendered by QuickLaTeX.com\" height=\"74\" width=\"479\" style=\"vertical-align: -32px;\"\/>\n <\/div>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> L\u1edbp 12A c\u00f3 \u0111i\u1ec3m trung b\u00ecnh cao h\u01a1n l\u1edbp 12B, v\u00e0 \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m c\u1ee7a hai l\u1edbp b\u1eb1ng nhau<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question3\"> L\u1edbp 12A c\u00f3 \u0111i\u1ec3m trung b\u00ecnh cao h\u01a1n l\u1edbp 12B, v\u00e0 \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m c\u1ee7a hai l\u1edbp kh\u00e1c nhau<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> \u0110i\u1ec3m trung b\u00ecnh c\u1ee7a hai l\u1edbp b\u1eb1ng nhau, v\u00e0 \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m c\u0169ng b\u1eb1ng nhau<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question3\"> \u0110i\u1ec3m trung b\u00ecnh c\u1ee7a hai l\u1edbp b\u1eb1ng nhau, nh\u01b0ng \u0111\u1ed9 ph\u00e2n t\u00e1n \u0111i\u1ec3m l\u1ea1i kh\u00e1c nhau<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Trong kh\u00f4ng gian v\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 $Oxyz$, tr\u1ee5c $Oz$ c\u00f3 m\u1ed9t vector ch\u1ec9 ph\u01b0\u01a1ng l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $\\overrightarrow{k}=(1;0;0)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $\\overrightarrow{k}=(0;1;0)$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question4\"> $\\overrightarrow{k}=(0;0;1)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question4\"> $\\overrightarrow{k}=(1;1;1)$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Ti\u1ec7m c\u1eadn \u0111\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $y = \\dfrac{2x + 4}{x – 2}$ l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $y = 2$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $y = -2$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question5\"> $x = 2$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question5\"> $x = -2$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh $\\log_7(11 – x) < 1$ l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $(4 ; +\\infty)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $(-\\infty ; 11)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question6\"> $(-\\infty ; 4)$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question6\"> $(4 ; 11)$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Trong kh\u00f4ng gian v\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 $Oxyz$, m\u1eb7t ph\u1eb3ng $(Oxy)$ c\u00f3 ph\u01b0\u01a1ng tr\u00ecnh l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $x = 0$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $y = 0$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question7\"> $z = 0$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question7\"> $x + y + z = 0$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Cho h\u00ecnh ch\u00f3p $S.ABCD$ c\u00f3 \u0111\u00e1y $ABCD$ l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 $SA \\perp AD$. M\u1eb7t ph\u1eb3ng n\u00e0o sau \u0111\u00e2y vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng $(SAB)$?<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $(SAC)$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question8\"> $(SBC)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $(SCD)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question8\"> $(SBD)$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh $3^x = 6$ l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> $x = 2$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> $x = 3$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question9\"> $x = \\log_6 3$<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question9\"> $x = 1 + \\log_3 2$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Cho c\u1ea5p s\u1ed1 nh\u00e2n $(u_n)$ c\u00f3 $u_1 = 1$ v\u00e0 $u_4 = 8$. Gi\u00e1 tr\u1ecb c\u1ee7a s\u1ed1 h\u1ea1ng $u_7$ l\u00e0<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> 32<\/label>\n <label><input type=\"radio\" data-value=\"true\" name=\"question10\"> 64<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> 128<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question10\"> 256<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>H\u00e0m s\u1ed1 $y = -2x^3 + 9x^2 + 24x – 11$ \u0111\u1ed3ng 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=\"true\" name=\"question11\"> $(-1; 4)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $(-\\infty; -1)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> $(-\\infty; 4)$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question11\"> (4; +$\\infty$)<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Cho h\u00ecnh h\u1ed9p $ABCD.A’B’C’D’$. \u0110\u1eb3ng th\u1ee9c vector n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang?<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" data-value=\"true\" name=\"question12\"> $\\overrightarrow{AD} + \\overrightarrow{D’C’} + \\overrightarrow{CC’} = \\overrightarrow{AC}$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $\\overrightarrow{BC} + \\overrightarrow{BA} + \\overrightarrow{BD’} = \\overrightarrow{BB’}$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $\\overrightarrow{BC} + \\overrightarrow{BA} = \\overrightarrow{D’A} + \\overrightarrow{D’C’}$<\/label>\n <label><input type=\"radio\" data-value=\"false\" name=\"question12\"> $\\overrightarrow{BA} + \\overrightarrow{DD’} + \\overrightarrow{BD’} = \\overrightarrow{BC}$<\/label>\n <\/div>\n <\/div>\n\n<\/div>\n\n<h1 style=\"font-size: 15px; font-weight: bold; color: #333\"> II. 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 $f(x) = \\cos(2x) – x$.<\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> $f(0) = 1$; $f(-\\pi) = -\\pi – 1$<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question13\"> \u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u1ed1 $f$ cho l\u00e0 $f'(x) = -2\\sin(2x) – 1$<\/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 $\\left[-\\frac{\\pi}{4}; 0 \\right]$ l\u00e0 $x = -\\dfrac{\\pi}{12}$<\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question13\"> Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a $f(x)$ tr\u00ean \u0111o\u1ea1n $\\left[-\\frac{\\pi}{4}; \\frac{\\pi}{4} \\right]$ l\u00e0 $\\dfrac{\\pi}{4}$<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Trong m\u1ed9t th\u1eed nghi\u1ec7m, m\u1ed9t \u00f4 t\u00f4 xu\u1ea5t ph\u00e1t t\u1eeb tr\u1ea1ng th\u00e1i ngh\u1ec9. Xe t\u0103ng t\u1ed1c \u0111\u1ebfn v\u1eadn t\u1ed1c c\u1ef1c \u0111\u1ea1i, sau \u0111\u00f3 th\u1ef1c hi\u1ec7n qu\u00e1 tr\u00ecnh h\u00e3m phanh nh\u1eb9 nh\u00e0ng \u0111\u1ec3 d\u1eebng h\u1eb3n. To\u00e0n b\u1ed9 qu\u00e1 tr\u00ecnh k\u00e9o d\u00e0i 50 gi\u00e2y. \u0110\u1ed3 th\u1ecb v\u1eadn t\u1ed1c $v(t)$ c\u1ee7a \u00f4 t\u00f4 nh\u01b0 h\u00ecnh v\u1ebd, \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 $v(t)$ tr\u00ean \u0111o\u1ea1n $[0; 24]$ l\u00e0 m\u1ed9t ph\u1ea7n c\u1ee7a parabol c\u00f3 \u0111\u1ec9nh $I(18; 27)$, v\u00e0 tr\u00ean \u0111o\u1ea1n $[24; 50]$ l\u00e0 \u0111o\u1ea1n th\u1eb3ng $AB$, v\u1edbi $A(24; 24)$ v\u00e0 $B(50; 0)$.<\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question14\"> Trong 24 gi\u00e2y \u0111\u1ea7u ti\u00ean, v\u1eadn t\u1ed1c c\u1ee7a \u00f4 t\u00f4 lu\u00f4n t\u0103ng<\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question14\"> T\u1ea1i th\u1eddi \u0111i\u1ec3m $t = 12$ gi\u00e2y, gia t\u1ed1c c\u1ee7a \u00f4 t\u00f4 l\u00e0 $2$ m\/s$^2$<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question14\"> V\u1eadn t\u1ed1c trung b\u00ecnh c\u1ee7a \u00f4 t\u00f4 t\u1eeb l\u00fac xu\u1ea5t ph\u00e1t \u0111\u1ebfn $t = 28$ gi\u00e2y b\u1eb1ng v\u1eadn t\u1ed1c th\u1eddi c\u1ee7a \u00f4 t\u00f4 t\u1ea1i $t = 28$ gi\u00e2y<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question14\"> Trong kho\u1ea3ng th\u1eddi gian t\u1eeb 20 gi\u00e2y \u0111\u1ebfn 21 gi\u00e2y, \u00f4 t\u00f4 \u0111i qua v\u1ecb tr\u00ed ch\u00ednh gi\u1eefa c\u1ee7a to\u00e0n b\u1ed9 qu\u00e3ng \u0111\u01b0\u1eddng di chuy\u1ec3n<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>Nh\u00e0 m\u00e1y XYZ chuy\u00ean s\u1ea3n xu\u1ea5t linh ki\u1ec7n \u0111i\u1ec7n t\u1eed ti\u00eau d\u00f9ng ph\u1ee5c v\u1ee5 th\u00f4ng, quy tr\u00ecnh hi\u1ec7n t\u1ea1i cho th\u1ea5y t\u1ef7 l\u1ec7 s\u1ea3n ph\u1ea9m l\u1ed7i l\u00e0 2\\%. \u0110\u1ec3 sang l\u1ecdc s\u1ea3n ph\u1ea9m, nh\u00e0 m\u00e1y s\u1eed d\u1ee5ng m\u1ed9t robot ki\u1ec3m tra t\u1ef1 \u0111\u1ed9ng. Robot n\u00e0y ph\u00e1t hi\u1ec7n \u0111\u00fang linh ki\u1ec7n l\u1ed7i v\u1edbi x\u00e1c su\u1ea5t 85\\%, tuy nhi\u00ean c\u0169ng c\u00f3 5\\% kh\u1ea3 n\u0103ng b\u00e1o l\u1ed7i nh\u1ea7m cho m\u1ed9t linh ki\u1ec7n t\u1ed1t. Gi\u00e1 s\u00fat m\u1ed9t linh ki\u1ec7n \u0111\u01b0\u1ee3c ch\u1ecdn ng\u1eabu nhi\u00ean \u0111\u1ec3 ki\u1ec3m tra.<\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question15\"> X\u00e1c su\u1ea5t linh ki\u1ec7n n\u00e0y c\u00f3 l\u1ed7i v\u00e0 \u0111\u01b0\u1ee3c robot b\u00e1o l\u00e0 l\u1ed7i b\u1eb1ng 0,01<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> X\u00e1c su\u1ea5t linh ki\u1ec7n n\u00e0y b\u1ecb robot b\u00e1o l\u00e0 l\u1ed7i b\u1eb1ng 0,066<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> X\u00e1c su\u1ea5t robot \u0111\u01b0a ra k\u1ebft lu\u1eadn ch\u00ednh x\u00e1c v\u1ec1 tr\u1ea1ng th\u00e1i th\u1ef1c t\u1ebf c\u1ee7a linh ki\u1ec7n b\u1eb1ng 0,948<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question15\"> \u0110\u1ec3 \u0111\u1ea3m b\u1ea3o r\u1eb1ng khi robot \u0111\u00e3 b\u00e1o m\u1ed9t linh ki\u1ec7n l\u00e0 l\u1ed7i, th\u00ec x\u00e1c su\u1ea5t linh ki\u1ec7n \u0111\u00f3 th\u1ef1c s\u1ef1 l\u1ed7i ph\u1ea3i \u0111\u1ea1t \u00edt nh\u1ea5t 85\\%. \u0110\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec1u n\u00e0y, hi\u1ec7u n\u0103ng robot kh\u00f4ng \u0111\u1ed5i, th\u00ec t\u1ef7 l\u1ec7 l\u1ed7i trong l\u00f4 s\u1ea3n ph\u1ea9m \u0111\u01b0\u1ee3c ki\u1ec3m tra ph\u1ea3i \u1edf m\u1ee9c t\u1ed1i thi\u1ec3u l\u00e0 25\\%<\/label>\n <\/div>\n <\/div>\n\n <div class=\"question\">\n <h2>M\u1ed9t c\u00f4ng ty logistics s\u1eed d\u1ee5ng m\u00e1y bay kh\u00f4ng ng\u01b0\u1eddi l\u00e1i (drone) \u0111\u1ec3 v\u1eadn chuy\u1ec3n h\u00e0ng h\u00f3a trong khu v\u1ef1c \u0111\u00f4 th\u1ecb th\u00f4ng minh. \u0110\u1ec3 \u0111\u1ea3m b\u1ea3o an to\u00e0n, m\u1ed9t v\u00f9ng bay theo h\u00ecnh c\u1ea7u $(S_1)$, t\u00e2m t\u1ea1i tr\u1ea1m ki\u1ec3m so\u00e1t trung t\u00e2m $O(0; 0; 0)$, c\u00f3 b\u00e1n k\u00ednh $R_1 = 100$ m. Drone \u0111\u01b0\u1ee3c ph\u00e9p ho\u1ea1t \u0111\u1ed9ng trong m\u1ed9t v\u00f9ng bay gi\u00e1m s\u00e1t h\u00ecnh c\u1ea7u $(S_2)$, m\u1ecf r\u1ed9ng h\u01a1n, c\u00f3 c\u00f9ng t\u00e2m $O$ v\u00e0 b\u00e1n k\u00ednh $R_2 = 60\\sqrt{101}$ m. M\u1ed9t drone di chuy\u1ec3n v\u1edbi t\u1ed1c \u0111\u1ed9 kh\u00f4ng \u0111\u1ed5i theo m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng t\u1eeb khu xu\u1ea5t ph\u00e1t $M(-800; 0; 60)$ \u0111\u1ebfn \u0111i\u1ec3m giao nhau $N(800; 0; 60)$.<\/h2>\n <div class=\"options\">\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question16\"> Ph\u01b0\u01a1ng tr\u00ecnh tham s\u1ed1 c\u1ee7a \u0111\u01b0\u1eddng bay $MN$ l\u00e0 $\\begin{cases}\nx = -800 + 1600 t\\\\ y = 0\\\\ z = 60\n\\end{cases}$ (t l\u00e0 tham s\u1ed1 th\u1ef1c)<\/label>\n <label><input type=\"checkbox\" data-value=\"true\" name=\"question16\"> Drone \u0111i v\u00e0o v\u00f9ng bay gi\u00e1m s\u00e1t $(S_2)$ t\u1ea1i \u0111i\u1ec3m $A(-600; 0; 60)$ v\u00e0 ra kh\u1ecfi t\u1ea1i \u0111i\u1ec3m $B(600; 0; 60)$<\/label>\n <label><input type=\"checkbox\" data-value=\"false\" name=\"question16\"> T\u1ed5ng qu\u00e3ng \u0111\u01b0\u1eddng drone bay b\u00ean trong v\u00f9ng bay gi\u00e1m s\u00e1t $(S_2)$ nh\u01b0ng \u1edf b\u00ean ngo\u00e0i v\u00f9ng bay h\u00ecnh c\u1ea7u $(S_1)$ l\u00e0 1200 m<\/label>\n <\/div>\n <\/div>\n\n<\/div>\n\n<h1 style=\"font-size:15px;color:#333\"> III. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111i\u1ec1n khuy\u1ebft<\/h1> \n<div class=\"section\" id=\"section-3\">\n <div class=\"question\">\n <h2>Cho h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ee9ng $ABCD.A’B’C’D’$, c\u00f3 \u0111\u00e1y $ABCD$ l\u00e0 h\u00ecnh thoi c\u1ea1nh b\u1eb1ng 2 v\u00e0 g\u00f3c $\\widehat{BAD} = 120^\\circ$. C\u1ea1nh b\u1ec1n $AA’ = 3$. Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m $D$ \u0111\u1ebfn m\u1eb7t ph\u1eb3ng $(B’AC)$ b\u1eb1ng bao nhi\u00eau?\n5$}<\/h2>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$1{,\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-1\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>M\u1ed9t c\u00f4ng ty du l\u1ecbch thi\u1ebft k\u1ebf tour \u0111i b\u1ed9 kh\u00e1m ph\u00e1 khu ph\u1ed1 c\u1ed5 g\u1ed3m 5 \u0111\u1ecba \u0111i\u1ec3m tham quan ch\u00ednh $A$, $B$, $C$, $D$, $E$. S\u01a1 \u0111\u1ed3 c\u00e1c tuy\u1ebfn \u0111\u01b0\u1eddng hai chi\u1ec1u v\u00e0 chi\u1ec1u d\u00e0i c\u1ee7a ch\u00fang (\u0111\u01a1n v\u1ecb: kilomet) \u0111\u01b0\u1ee3c cho nh\u01b0 h\u00ecnh v\u1ebd. H\u01b0\u1edbng d\u1eabn vi\u00ean d\u1eabn \u0111o\u00e0n xu\u1ea5t ph\u00e1t t\u1eeb \u0111\u1ecba \u0111i\u1ec3m $A$, c\u0103n \u0111i qua t\u1ea5t c\u1ea3 c\u00e1c tuy\u1ebfn \u0111\u01b0\u1eddng \u0111\u01b0\u1ee3c th\u1ec3 hi\u1ec7n tr\u00ean s\u01a1 \u0111\u1ed3 \u00edt nh\u1ea5t m\u1ed9t l\u1ea7n \u0111\u1ec3 gi\u1edbi thi\u1ec7u tr\u1ecdn v\u1eb9n v\u1ebb \u0111\u1eb9p c\u1ee7a ph\u1ed1 c\u1ed5, v\u00e0 cu\u1ed1i c\u00f9ng quay v\u1ec1 l\u1ea1i \u0111\u1ecba \u0111i\u1ec3m $A$. T\u1ed5ng qu\u00e3ng \u0111\u01b0\u1eddng \u0111i ng\u1eafn nh\u1ea5t l\u00e0 bao nhi\u00eau? (\u0111\u01a1n v\u1ecb: kilomet).\n2$}<\/h2>\n <div class=\"quicklatex\" style=\"display:flex;justify-content:center;margin:15px 0;\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-d366a60506862d1c9c4036b4b9dea26e_l3.svg\" height=\"319\" width=\"347\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/div>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$4{,\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-2\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>\u0110\u1ed9i kh\u1ea3o s\u00e1t bi\u1ec3n d\u00f9ng m\u1ed9t thi\u1ebft b\u1ecb t\u1ef1 h\u00e0nh d\u01b0\u1edbi n\u01b0\u1edbc (AUV) \u0111\u1ec3 kh\u1ea3o s\u00e1t chi ti\u1ebft m\u1ed9t khu v\u1ef1c bi\u1ec3n n\u00f4ng, v\u1edbi hy v\u1ecdng x\u00e1c \u0111\u1ecbnh ch\u00ednh x\u00e1c c\u1ea5u tr\u00fac m\u1ed9t x\u00e1c t\u00e0u c\u1ed5. \u0110\u1ec3 ph\u1ee5c v\u1ee5 c\u00f4ng t\u00e1c \u0111i\u1ec1u tra, robot l\u1eadp m\u1ed9t h\u1ee3p t\u00e1c \u0111o $Oxyz$, t\u00e0u ch\u1ec9 huy c\u00f3 nhi\u1ec7m v\u1ee5 di chuy\u1ec3n \u0111\u1ebfn \u0111i\u1ec3m c\u1ed1 \u0111\u1ecbnh $O$, m\u1eb7t ph\u1eb3ng $Oxy$ tr\u00f9ng v\u1edbi m\u1eb7t bi\u1ec3n (c\u00f2n nh\u01b0 y\u00ean l\u1eb7ng), v\u00e0 tr\u1ee5c $Oz$ h\u01b0\u1edbng th\u1eb3ng \u0111\u1ee9ng xu\u1ed1ng bi\u1ec3n s\u00e2u (\u0111\u01a1n v\u1ecb tr\u00ean c\u00e1c tr\u1ee5c l\u00e0 m\u00e9t). B\u1ed5n phao sonar, k\u00fd hi\u1ec7u l\u00e0 A, B, C v\u00e0 D, \u0111\u01b0\u1ee3c th\u1ea3 tr\u00ean m\u1eb7t bi\u1ec3n t\u1ea1i c\u00e1c v\u1ecb tr\u00ed c\u00f3 t\u1ecda \u0111\u1ed9 l\u1ea7n l\u01b0\u1ee3t l\u00e0 $A(25;0;0)$, $B(0;25;0)$, $C(-25;0;0)$ v\u00e0 $D(0;-25;0)$. Sau m\u1ed9t th\u1eddi gian \u0111\u00f3, AUV \u0111\u00e3 ph\u00e1t hi\u1ec7n m\u1ed9t v\u1eadt th\u1ec3 $M(x;y;z)$ n\u1eb1m d\u01b0\u1edbi m\u1eb7t n\u01b0\u1edbc ($z > 0$), kh\u1ea3 n\u0103ng x\u00e1c t\u00e0u c\u1ed5. H\u1ec7 th\u1ed1ng ph\u00e2n t\u00edch t\u00edn hi\u1ec7u AUV \u0111\u00e3 t\u00ednh to\u00e1n v\u00e0 truy\u1ec1n v\u1ec1 t\u00e0u ch\u1ec9 huy v\u1ec1 ph\u01b0\u01a1ng kho\u1ea3ng c\u00e1ch (\u0111\u01a1n v\u1ecb $m^2$) t\u1eeb $M$ \u0111\u1ebfn sonar nh\u01b0 sau: $MA^2 = 1400$, $MB^2 = 1150$, $MC^2 = 2900$, $MD^2 = 3150$. Kho\u1ea3ng c\u00e1ch t\u1eeb t\u00e0u ch\u1ec9 huy (g\u1ed1c $O$) \u0111\u1ebfn h\u00ecnh chi\u1ebfu vu\u00f4ng g\u00f3c c\u1ee7a \u0111i\u1ec3m $M$ l\u00ean m\u1eb7t ph\u1eb3ng $Oxy$ b\u1eb1ng bao nhi\u00eau m\u00e9t (l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng ph\u1ea7n ch\u1ee5c)? \n<\/h2>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$25$\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-3\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>M\u1ed9t c\u00f4ng ty h\u1ea3i s\u1ea3n mu\u1ed1n thi\u1ebft k\u1ebf logo h\u00ecnh con c\u00e1 theo h\u00ecnh v\u1ebd sau. Logo \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf c\u00f3 d\u1ea1ng h\u00ecnh thoi v\u1edbi chi\u1ec1u d\u00e0i $AB = 22$ dm v\u00e0 chi\u1ec1u r\u1ed9ng $BC = 13$ dm. Trong h\u00ecnh ch\u1eef nh\u1eadt, logo h\u00ecnh con c\u00e1 (ph\u1ea7n t\u00f4 m\u00e0u) \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh nh\u01b0 sau: \u0110i\u1ec3m $O$ l\u00e0 mi\u1ec7ng c\u00e1, n\u1eb1m tr\u00ean c\u1ea1nh $AD$ v\u00e0 $OA = 5$ dm. \u0110o\u1ea1n th\u1eb3ng $OH$ ch\u1ea1y d\u1ecdc theo th\u00e2n c\u00e1, song song v\u1edbi $AB$ v\u00e0 c\u00f3 \u0111\u1ed9 d\u00e0i $OH = 20$ dm. Th\u00e2n c\u00e1 \u0111\u01b0\u1ee3c gi\u1edbi h\u1ea1n b\u1edfi hai parabol: parabol ph\u00eda tr\u00ean c\u00f3 \u0111\u1ec9nh l\u00e0 $E$ n\u1eb1m tr\u00ean c\u1ea1nh $AB$ sao cho $AE = 10$ dm, parabol ph\u00eda d\u01b0\u1edbi c\u00f3 \u0111\u1ec9nh l\u00e0 $F$ n\u1eb1m tr\u00ean c\u1ea1nh $CD$ sao cho $DF = 10$ dm; ph\u1ea7n d\u01b0\u1edbi c\u1ee7a th\u00e2n H \u0111\u1ebfn c\u1ea1nh $BC$ \u0111\u01b0\u1ee3c gi\u1edbi h\u1ea1n b\u1edfi s\u1ef1 k\u00e9o d\u00e0i c\u1ee7a hai parabol v\u1eeba n\u00eau. C\u1ea3 hai parabol \u0111\u1ec1u \u0111i qua \u0111i\u1ec3m $O$ v\u00e0 \u0111i\u1ec3m $H$. C\u00f4ng ty mu\u1ed1n thi c\u00f4ng ph\u1ea7n logo h\u00ecnh con c\u00e1 b\u1eb1ng m\u1ed9t lo\u1ea1i v\u1eadt li\u1ec7u \u0111\u1eb7c bi\u1ec7t v\u1edbi chi ph\u00ed 6 tri\u1ec7u \u0111\u1ed3ng m\u1ed7i m\u00e9t vu\u00f4ng. H\u1ecfi t\u1ed5ng chi ph\u00ed \u0111\u1ec3 l\u00e0m logo con c\u00e1 n\u00e0y l\u00e0 bao nhi\u00eau tri\u1ec7u \u0111\u1ed3ng (k\u1ebft qu\u1ea3 l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb)?<\/h2>\n <div class=\"quicklatex\" style=\"display:flex;justify-content:center;margin:15px 0;\">\n <p class=\"ql-center-picture\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-988e21dae53d576114ec9be0ab0544c2_l3.svg\" height=\"215\" width=\"366\" class=\"ql-img-picture \" alt=\"Rendered by QuickLaTeX.com\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>\n <\/div>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$11$\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-4\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>X\u01b0\u1edfng g\u1ed7 XYZ chuy\u00ean s\u1ea3n xu\u1ea5t ch\u1eadu bonsai ngh\u1ec7 thu\u1eadt. M\u1ed7i ng\u00e0y, x\u01b0\u1edfng c\u00f3 th\u1ec3 s\u1ea3n xu\u1ea5t t\u1ed1i \u0111a 150 chi\u1ebfc ch\u1eadu. N\u1ebfu x\u01b0\u1edfng s\u1ea3n xu\u1ea5t $x$ chi\u1ebfc ch\u1eadu ($x \\in \\mathbb{N}$, $x \\leq 150$) v\u00e0 b\u00e1n h\u1ebft th\u00ec t\u1ed5ng doanh thu l\u00e0 $T(x) = -0,5x^2 + 265x$ (ngh\u00ecn \u0111\u1ed3ng). Chi ph\u00ed mua nguy\u00ean v\u1eadt li\u1ec7u cho \u0111\u1ec3 s\u1ea3n xu\u1ea5t $x$ chi\u1ebfc ch\u1eadu (ch\u01b0a chi\u1ebft kh\u1ea5u) l\u00e0 $A(x) = 75x + 250 + \\dfrac{12000}{x}$ (ngh\u00ecn \u0111\u1ed3ng). Ch\u00ednh s\u00e1ch chi\u1ebft kh\u1ea5u mua nguy\u00ean v\u1eadt li\u1ec7u: n\u1ebfu mua nguy\u00ean v\u1eadt li\u1ec7u cho t\u1eeb 80 chi\u1ebfc ch\u1eadu tr\u1edf l\u00ean th\u00ec gi\u1ea3m gi\u00e1 15\\% tr\u00ean chi ph\u00ed $A(x)$, m\u00e0 kh\u00f4ng th\u00ec kh\u00f4ng \u0111\u01b0\u1ee3c gi\u1ea3m gi\u00e1. Chi ph\u00ed b\u00e1n h\u00e0ng v\u00e0 marketing l\u00e0 $B(x) = 0,1x^2 + 3x + 220$ (ngh\u00ecn \u0111\u1ed3ng). Chi ph\u00ed v\u1eadn h\u00e0nh v\u00e0 ho\u1ea1t \u0111\u1ed9ng kinh doanh l\u00e0 $C(x) = 0,2x^2 + 5x + 630$ (ngh\u00ecn \u0111\u1ed3ng). Thu\u1ebf thu nh\u1eadp doanh nghi\u1ec7p l\u00e0 5\\% tr\u00ean l\u1ee3i nhu\u1eadn tr\u01b0\u1edbc thu\u1ebf. H\u1ecfi l\u1ee3i nhu\u1eadn sau thu\u1ebf l\u1edbn nh\u1ea5t l\u00e0 bao nhi\u00eau (\u0111\u01a1n v\u1ecb tri\u1ec7u \u0111\u1ed3ng, k\u1ebft qu\u1ea3 l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb)?\n<\/h2>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$20$\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-5\"><\/span>\n <\/div>\n\n <div class=\"question\">\n <h2>C\u00f4ng ch\u1ee9c Vi\u00ean ch\u1ee9c (CCVC) x\u00e3 V\u0103n Minh \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i theo nh\u00f3m c\u00f4ng t\u00e1c: Nh\u00f3m KC g\u1ed3m c\u00e1c CCVC c\u00f3 h\u01a1n 25 n\u0103m c\u00f4ng t\u00e1c, chi\u1ebfm 60\\% t\u1ed5ng s\u1ed1 CCVC. Nh\u00f3m ND g\u1ed3m c\u00e1c CCVC c\u00f3 t\u1eeb 25 n\u0103m c\u00f4ng t\u00e1c tr\u1edf xu\u1ed1ng, chi\u1ebfm 40\\% t\u1ed5ng s\u1ed1 CCVC. Nh\u1eb1m \u0111\u00e1nh gi\u00e1 v\u00e0 s\u1eafp x\u1ebfp l\u1ea1i c\u00f4ng vi\u1ec7c, T\u00ecnh ti\u1ebfn h\u00e0nh s\u1eafp x\u1ebfp CCVC x\u00e3 V\u0103n Minh qua 2 v\u00f2ng: \u0110\u1ed1i v\u1edbi CCVC nh\u00f3m KC, t\u1ef7 l\u1ec7 v\u01b0\u1ee3t qua v\u00f2ng 1 l\u00e0 30\\%. \u0110\u1ed1i v\u1edbi CCVC nh\u00f3m ND, t\u1ef7 l\u1ec7 v\u01b0\u1ee3t qua v\u00f2ng 1 l\u00e0 15\\%. V\u00f2ng 2 (k\u00e9m th\u1eddi gian chuy\u1ebfn m\u00f4n v\u00e0 nghi\u1ec7p v\u1ee5): Chi nh\u1eefng CCVC \u0111\u00e3 v\u01b0\u1ee3t qua v\u00f2ng 1 m\u1ed7i nh\u00f3m tham gia v\u00e0o v\u00f2ng 2. Trong s\u1ed1 nh\u1eefng CCVC \u0111\u00e3 v\u01b0\u1ee3t qua v\u00f2ng 1, t\u1ef7 l\u1ec7 ti\u1ebfp t\u1ee5c v\u01b0\u1ee3t qua v\u00f2ng 2 l\u00e0 75\\%. Ch\u1ecdn ng\u1eabu nhi\u00ean m\u1ed9t CCVC c\u1ee7a x\u00e3 V\u0103n Minh, x\u00e1c su\u1ea5t \u0111\u1ec3 ch\u1ecdn \u0111\u01b0\u1ee3c ng\u01b0\u1eddi v\u01b0\u1ee3t qua c\u1ea3 2 v\u00f2ng?\n18$}<\/h2>\n <span class=\"blank-container\">\n <input type=\"text\" class=\"blank\" data-value=\"$0{,\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n <\/span>\n <span class=\"preview\" id=\"preview-6\"><\/span>\n <\/div>\n\n<\/div>\n\n<\/form>\n<button type=\"button\" id=\"submit-button\">N\u1ed9p b\u00e0i<\/button>\n<div id=\"result\"><\/div>\n\n<script>\ndocument.addEventListener(\"DOMContentLoaded\", function () {\n \/\/ T\u00ecm t\u1ea5t c\u1ea3 c\u00e1c div ch\u1ee9a class=\"quicklatex\" \u0111\u1ec3 b\u1ecf qua khi render KaTeX\n const quicklatexElements = document.querySelectorAll('div.quicklatex');\n\n \/\/ KaTeX render c\u00f4ng th\u1ee9c b\u00ecnh th\u01b0\u1eddng cho to\u00e0n b\u1ed9 trang, ngo\u1ea1i tr\u1eeb c\u00e1c div.quicklatex\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 ignoredElements: ['div.quicklatex'] \/\/ B\u1ecf qua div.quicklatex khi render KaTeX\n });\n\n \/\/ Sau khi KaTeX render xong, QuickLaTeX x\u1eed l\u00fd c\u00e1c c\u00f4ng th\u1ee9c trong div.quicklatex\n quicklatexElements.forEach(function(element) {\n const latex = element.innerText; \/\/ L\u1ea5y n\u1ed9i dung latex trong div.quicklatex\n QuickLaTeX.render(latex, element); \/\/ D\u00f9ng QuickLaTeX \u0111\u1ec3 render c\u00f4ng th\u1ee9c\n });\n});\n\n<\/script>\n\n\n<script>\n\/\/ Move this outside of calculateScore\n \n\n function updatePreview(input) {\n const previewElement = input.closest('.blank-container').nextElementSibling;\n \n let userAnswer = input.value.trim();\n\n if (!userAnswer) {\n previewElement.style.display = 'none'; \/\/ \u1ea8n khi kh\u00f4ng c\u00f3 n\u1ed9i dung\n previewElement.innerHTML = '';\n return;\n }\n\n previewElement.style.display = 'block'; \/\/ Hi\u1ec3n th\u1ecb khi c\u00f3 n\u1ed9i dung\n\n try {\n katex.render(userAnswer, previewElement, {\n throwOnError: false \/\/ Kh\u00f4ng b\u00e1o l\u1ed7i khi c\u00fa ph\u00e1p LaTeX sai\n });\n } catch (err) {\n previewElement.innerHTML = 'L\u1ed7i c\u00f4ng th\u1ee9c LaTeX!';\n }\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\n<\/script>\n\n\n<script>\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\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u00e0i Test Tr\u1eafc Nghi\u1ec7m T\u00ean: I. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn Cho h\u00e0m s\u1ed1 $f(x) = x^2 + x – 4$, n\u1ebfu $F(x)$ l\u00e0 m\u1ed9t nguy\u00ean h\u00e0m c\u1ee7a $f(x)$ tr\u00ean $\\mathbb{R}$ th\u00ec gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c $F(6) – F(0)$ b\u1eb1ng -66 -6 6 66 X\u00e9t h\u00ecnh ph\u1eb3ng $(H)$ gi\u1edbi h\u1ea1n b\u1edfi th\u1ecb h\u00e0m […]<\/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-1405","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/1405","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=1405"}],"version-history":[{"count":20,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/1405\/revisions"}],"predecessor-version":[{"id":1426,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/1405\/revisions\/1426"}],"wp:attachment":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1405"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1405"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}