B\u00e0i Test Tr\u1eafc Nghi\u1ec7m<\/title>\n <link href=\"https:\/\/fonts.googleapis.com\/css2?family=Latin+Modern:wght@400&display=swap\" rel=\"stylesheet\">\n <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: 'Latin Modern';\n line-height: 1.5;\n font-size: 19px;\n } \n .question {\n \n counter-increment: question;\n \/* border: 2px solid #4CAF50; \u0110\u01b0\u1eddng vi\u1ec1n m\u00e0u xanh l\u00e1 c\u00e2y *\/\n background-color: #ebfab4; \/* M\u00e0u n\u1ec1n nh\u1ea1t *\/\n padding: 5px; \/* Kho\u1ea3ng c\u00e1ch b\u00ean trong *\/\n margin: 10px 0; \/* Kho\u1ea3ng c\u00e1ch b\u00ean ngo\u00e0i *\/\n border-radius: 8px; \/* Bo g\u00f3c cho \u0111\u01b0\u1eddng vi\u1ec1n *\/\n }\n .question::before {\n content: \"C\u00e2u \" counter(question) \". \";\n font-weight: bold;\n display: inline;\n }\n h2 {\n font-size: 19px;\n font-weight: normal;\n margin-bottom: 0;\n display: inline;\n }\n .options {\n margin-top: 0;\n }\n .options label { font-size: 19px;\n display: block;\n margin: 3px 0;\n }\n .column-1 .options {\n display: block;\n }\n .column-2 .options {\n column-count: 2;\n column-gap: 8px;\n }\n .column-4 .options {\n column-count: 4;\n column-gap: 8px;\n } \n \n input[type=\"radio\"] {\n appearance: none;\n width: 15px;\n height: 15px;\n border: 2px solid #333;\n border-radius: 50%;\n background-color: white;\n cursor: pointer;\n outline: none; \n \n \n }\n input[type=\"checkbox\"] {\n appearance: none;\n width: 20px;\n height: 20px;\n border: 2px solid #333;\n background-color: white;\n cursor: pointer;\n outline: none;\n }\n input[type=\"radio\"]:checked, input[type=\"checkbox\"]:checked {\n background-color: #99ce34;\n }\n .blank-container {\n display: inline-flex;\n align-items: center;\n margin-left: 10px;\n }\n .blank {\n border-bottom: 1px solid #333;\n width: 200px;\n text-align: center;\n }\n #result {\n margin-top: 20px;\n font-weight: bold;\n }\n .katex {\n font-size: 19px; \/* \u0110i\u1ec1u ch\u1ec9nh gi\u00e1 tr\u1ecb n\u00e0y \u0111\u1ec3 t\u0103ng\/gi\u1ea3m k\u00edch th\u01b0\u1edbc c\u00f4ng th\u1ee9c *\/\n ; \/* Thay \u0111\u1ed5i font ch\u1eef \u1edf \u0111\u00e2y *\/ \n }\n <\/style>\n<\/head>\n<body>\n\n<div id=\"timer\" style=\"font-size: 24px; text-align: center; margin-bottom: 20px;\"><\/div> \n<h1 font-size: 15px; font-weight: bold; color: #333> 1. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn<\/h1>\n<div class=\"section\" id=\"section-1\">\n\t<div class=\"question column-2\">\n\t <h2>Cho \u0111\u1ecbnh l\u00fd to\u00e1n h\u1ecdc d\u1ea1ng m\u1ec7nh \u0111\u1ec1 $P \\Rightarrow Q$. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 sai?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $Q$ l\u00e0 \u0111i\u1ec1u ki\u1ec7n c\u1ea7n \u0111\u1ec3 c\u00f3 $P$<\/label>\n\t <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $P$ l\u00e0 gi\u1ea3 thi\u1ebft, $Q$ l\u00e0 k\u1ebft lu\u1eadn<\/label>\n\t <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $P$ l\u00e0 \u0111i\u1ec1u ki\u1ec7n \u0111\u1ee7 \u0111\u1ec3 c\u00f3 $Q$<\/label>\n\t <label><input type=\"radio\" name=\"question1\" data-value=\"true\"> $Q$ l\u00e0 gi\u1ea3 thi\u1ebft, $P$ l\u00e0 k\u1ebft lu\u1eadn<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-2\">\n\t <h2>Trong c\u00e1c c\u00e2u d\u01b0\u1edbi \u0111\u00e2y, c\u00e2u n\u00e0o l\u00e0 m\u1ec7nh \u0111\u1ec1 to\u00e1n h\u1ecdc?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> Tr\u1eddi h\u00f4m nay l\u1ea1nh qu\u00e1!<\/label>\n\t <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> B\u1ea1n c\u00f3 th\u00edch h\u1ecdc to\u00e1n kh\u00f4ng?<\/label>\n\t <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> B\u1ea1n bao nhi\u00eau tu\u1ed5i?<\/label>\n\t <label><input type=\"radio\" name=\"question2\" data-value=\"true\"> Ph\u01b0\u01a1ng tr\u00ecnh $x^2 – 2x + 2 = 0$ v\u00f4 nghi\u1ec7m<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-4\">\n\t <h2>Cho t\u1eadp h\u1ee3p $X = \\{ 0; 2; 5 \\} $. T\u1eadp h\u1ee3p n\u00e0o d\u01b0\u1edbi \u0111\u00e2y kh\u00f4ng ph\u1ea3i l\u00e0 t\u1eadp con c\u1ee7a t\u1eadp h\u1ee3p $X$?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $\\emptyset$<\/label>\n\t <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $\\left\\{ 2 \\right\\}$<\/label>\n\t <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $\\left\\{ 0; 2; 5 \\right\\}$<\/label>\n\t <label><input type=\"radio\" name=\"question3\" data-value=\"true\"> $\\left\\{ 0; 1; 2 \\right\\}$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-4\">\n\t <h2>Cho hai t\u1eadp h\u1ee3p $A = \\left[ – 3; 3 \\right]$, $B = \\left[ 1; 5 \\right]$. T\u1eadp h\u1ee3p $A \\setminus B$ b\u1eb1ng<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $[ 2; 5 ]$<\/label>\n\t <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $[ 0; 2 ]$<\/label>\n\t <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $[ – 3; 5 ]$<\/label>\n\t <label><input type=\"radio\" name=\"question4\" data-value=\"true\"> $[ – 3; 1 )$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-2\">\n\t <h2>B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o sau \u0111\u00e2y <b>kh\u00f4ng ph\u1ea3i<\/b> l\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $\\dfrac{x}{2} – \\dfrac{y}{3} + 10 < 0$<\/label>\n\t <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $2x – 3y + 5 < 0$<\/label>\n\t <label><input type=\"radio\" name=\"question5\" data-value=\"true\"> $x + 3y^2 – 2x + 1 \\leq 0$<\/label>\n\t <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $x – 5y – 1 \\geq 0$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-4\">\n\t <h2>Trong c\u00e1c c\u1eb7p s\u1ed1 sau \u0111\u00e2y, c\u1eb7p n\u00e0o <b>kh\u00f4ng<\/b> l\u00e0 nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh $x – 4y + 5 \\geq 0$?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $( 0; 0 )$<\/label>\n\t <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $( 1; – 3 )$<\/label>\n\t <label><input type=\"radio\" name=\"question6\" data-value=\"true\"> $( – 2; 1 )$<\/label>\n\t <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $( – 5; 0 )$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-2\">\n\t <h2>H\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $\\begin{cases} x – y < 2 \\\\ x + y^2 > 1 \\end{cases}$<\/label>\n\t <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $\\begin{cases} x – y > 0 \\\\ 2xy < 1 \\end{cases}$<\/label>\n\t <label><input type=\"radio\" name=\"question7\" data-value=\"true\"> $\\begin{cases} x – 2y \\leq 3 \\\\ x + y > -1 \\end{cases}$<\/label>\n\t <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $\\begin{cases} x \\leq 0 \\\\ x^2 + y^2 < 1 \\end{cases}$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-2\">\n\t <h2> Trong c\u00e1c \u0111\u1eb3ng th\u1ee9c sau, \u0111\u1eb3ng th\u1ee9c n\u00e0o sai? <\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $\\sin 45^\\circ + \\cos 45^\\circ = \\sqrt{2}$ <\/label>\n\t <label><input type=\"radio\" name=\"question8\" data-value=\"true\"> $\\sin 30^\\circ + \\cos 60^\\circ = 1$ <\/label>\n\t <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $\\sin 60^\\circ + \\cos 150^\\circ = 0$ <\/label>\n\t <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $\\sin 120^\\circ – \\cos 30^\\circ = 0$ <\/label>\n\t <\/div>\n\t<\/div>\n\t\t\n\t<div class=\"question column-2\">\n\t <h2>Cho tam gi\u00e1c $ABC$ v\u1edbi $BC = a$, $AC = b$, $AB = c$. M\u1ec7nh \u0111\u1ec1 n\u00e0o sau \u0111\u00e2y \u0111\u00fang?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $a^2 = b^2 + c^2 + 2bc\\cos A$ <\/label>\n\t <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $b^2 = a^2 + c^2 – 2ac\\cos B$ <\/label>\n\t <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $c^2 = a^2 + b^2 – 2ab\\cos C$ <\/label>\n\t <label><input type=\"radio\" name=\"question9\" data-value=\"true\"> $a^2 = b^2 + c^2 – 2bc\\cos A$ <\/label>\n\t <\/div> \t \n <\/div>\n \n <div class=\"question column-2\">\n <h2>Ph\u1ea7n kh\u00f4ng t\u00f4 \u0111\u1eadm trong h\u00ecnh v\u1ebd, bi\u1ec3u di\u1ec5n mi\u1ec1n nghi\u1ec7m c\u1ee7a h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o?<\/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-93d324a40fff424025fb225ff2a72e04_l3.svg\" height=\"197\" width=\"392\" 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=\"question10\" data-value=\"false\"> $\\begin{cases} x-2y<-2 \\\\ x-2y>3 \\end{cases}$<\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $\\begin{cases} x-2y>-2 \\\\ x-2y>3 \\end{cases}$<\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"true\"> $\\begin{cases} x-2y>-2 \\\\ x-2y<3 \\end{cases}$<\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $\\begin{cases} x-2y<-2 \\\\ x-2y<3 \\end{cases}$<\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2>Tam gi\u00e1c $ABC$ c\u00f3 $a = 4$, $b = 5$, $c = 6$. \u0110\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao $h_a$ b\u1eb1ng<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question11\" data-value=\"true\"> $\\dfrac{15\\sqrt{7}}{8}$<\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $\\dfrac{3}{2\\sqrt{7}}$<\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $\\dfrac{3\\sqrt{7}}{4}$<\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $\\dfrac{4\\sqrt{7}}{3}$<\/label>\n <\/div>\n <\/div>\n \n\t<div class=\"question column-2\">\n\t <h2>Cho $\\alpha$ v\u00e0 $\\beta$ l\u00e0 hai g\u00f3c kh\u00e1c nhau v\u00e0 b\u00f9 nhau. Trong c\u00e1c \u0111\u1eb3ng th\u1ee9c sau \u0111\u00e2y, \u0111\u1eb3ng th\u1ee9c n\u00e0o sai?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question12\" data-value=\"false\"> $\\sin \\alpha = \\sin \\beta$<\/label>\n\t <label><input type=\"radio\" name=\"question12\" data-value=\"false\"> $\\cos \\alpha = -\\cos \\beta$<\/label>\n\t <label><input type=\"radio\" name=\"question12\" data-value=\"false\"> $\\tan \\alpha = -\\tan \\beta$<\/label>\n\t <label><input type=\"radio\" name=\"question12\" data-value=\"true\"> $\\cot \\alpha = \\cot \\beta$<\/label>\n\t <\/div>\n\t<\/div> \n<\/div>\n\n\n<h1 font-size: 15px; font-weight: bold; color: #333>2. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111\u00fang sai<\/h1>\n<div class=\"section\" id=\"section-2\">\n\n\t\n\t<div class=\"question\">\n\t <h2>Cho hai \u0111a th\u1ee9c $P(x)=x^2-3x+2$ v\u00e0 $Q(x)=x^2-5x+6$. G\u1ecdi $S_1,S_2$ l\u00e0 t\u1eadp nghi\u1ec7m c\u1ee7a $P(x)$ v\u00e0 $Q(x)$. X\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/h2>\n\t <div class=\"options\">\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $S_1$ c\u00f3 1 ph\u1ea7n t\u1eed<\/label>\n\t <label><input type=\"checkbox\" data-value=\"true\"> $S_2$ c\u00f3 2 ph\u1ea7n t\u1eed<\/label>\n\n\t <label><input type=\"checkbox\" data-value=\"true\"> Ph\u00e2n th\u1ee9c $\\dfrac{1}{P(x)Q(x)}$ c\u00f3 \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh l\u00e0 $x\\not\\in S_1\\cup S_2$<\/label>\n\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> Ph\u00e2n th\u1ee9c $\\dfrac{1}{P(x)+Q(x)}$ c\u00f3 \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh l\u00e0 $x\\in S_1\\cup S_2$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Cho $A,B$ l\u00e0 hai t\u1eadp kh\u00e1c r\u1ed7ng v\u00e0 kh\u00f4ng c\u00f3 ph\u1ea7n t\u1eed chung. \u0110\u1eb7t $X= A\\cup B$. L\u1ea5y $C$ l\u00e0 m\u1ed9t t\u1eadp con c\u1ee7a $X$. X\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/h2>\n\t <div class=\"options\">\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $A\\subset B$ th\u00ec $A\\cap B= B$<\/label>\n\t <label><input type=\"checkbox\" data-value=\"true\"> N\u1ebfu $A\\subset B$ th\u00ec $A\\cup B= B$<\/label>\n\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $A\\setminus (A\\cap B)= B\\setminus A$<\/label>\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $C=(C\\cap A)\\cap (C\\cap B)$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>M\u1ed9t c\u00f4ng ty vi\u1ec5n th\u00f4ng t\u00ednh ph\u00ed 1 ngh\u00ecn \u0111\u1ed3ng m\u1ed7i ph\u00fat g\u1ecdi m\u1ea1ng n\u1ed9i m\u1ea1ng v\u00e0 2 ngh\u00ecn \u0111\u1ed3ng m\u1ed7i ph\u00fat g\u1ecdi ngo\u1ea1i m\u1ea1ng. C\u00f4 gi\u00e1o Ph\u01b0\u01a1ng c\u00f3 s\u1eed d\u1ee5ng \u0111\u1ecbch v\u1ee5 c\u1ee7a c\u00f4ng ty. G\u1ecdi $x$ v\u00e0 $y$ l\u1ea7n l\u01b0\u1ee3t l\u00e0 s\u1ed1 ph\u00fat g\u1ecdi n\u1ed9i m\u1ea1ng, ngo\u1ea1i m\u1ea1ng c\u1ee7a c\u00f4 trong m\u1ed9t th\u00e1ng. G\u1ecdi $M$ l\u00e0 s\u1ed1 ti\u1ec1n c\u01b0\u1edbc vi\u1ec5n th\u00f4ng (\u0111\u01a1n v\u1ecb ng\u00e0n \u0111\u1ed3ng) m\u00e0 c\u00f4 ph\u1ea3i tr\u1ea3. Theo k\u1ebf ho\u1ea1ch chi ti\u00eau C\u00f4 Ph\u01b0\u01a1ng ch\u1ec9 mu\u1ed1n s\u1ed1 ti\u1ec1n c\u01b0\u1edbc ph\u1ea3i tr\u1ea3 cho c\u00e1c cu\u1ed9c g\u1ecdi nh\u1ecf h\u01a1n 200 ngh\u00ecn \u0111\u1ed3ng. X\u00e9t t\u00ednh \u0111\u00fang sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/h2>\n\t <div class=\"options\">\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> S\u1ed1 ti\u1ec1n ph\u1ea3i tr\u1ea3 n\u1ed9i m\u1ea1ng m\u1ed7i th\u00e1ng l\u00e0 $2x$ (ngh\u00ecn \u0111\u1ed3ng), s\u1ed1 ti\u1ec1n ph\u1ea3i tr\u1ea3 cho cu\u1ed9c g\u1ecdi ngo\u1ea1i m\u1ea1ng m\u1ed7i th\u00e1ng l\u00e0 $y$ (ngh\u00ecn \u0111\u1ed3ng). \u0110i\u1ec1u ki\u1ec7n: $x ,y >0$<\/label>\n\t <label><input type=\"checkbox\" data-value=\"true\"> Theo k\u1ebf ho\u1ea1ch c\u1ee7a c\u00f4 Ph\u01b0\u01a1ng, $M \\leq 200$<\/label>\n\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $M=x-2y$<\/label>\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $x = 20$, $y = 50$ l\u00e0 m\u1ed9t l\u1ef1a ch\u1ecdn ph\u00f9 h\u1ee3p cho chi ti\u00eau c\u1ee7a c\u00f4 Ph\u01b0\u01a1ng<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Cho h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh\n $\\begin{cases} x+y\\geq 3\\\\ 2x+y\\leq -1 \\end{cases}$\n \tX\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/h2>\n \t<div class=\"options\">\n \n <label><input type=\"checkbox\" data-value=\"false\"> B\u1ed9 s\u1ed1 $(x;y)=(-5;-8)$ l\u00e0 m\u1ed9t nghi\u1ec7m c\u1ee7a h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh<\/label>\n\n <label><input type=\"checkbox\" data-value=\"false\"> $N(-4;-1)$ l\u00e0 \u0111i\u1ec3m bi\u1ec3u di\u1ec5n nghi\u1ec7m c\u1ee7a h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh<\/label>\n <label><input type=\"checkbox\" data-value=\"true\"> Mi\u1ec1n nghi\u1ec7m c\u1ee7a h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 m\u1ed9t g\u00f3c c\u00f3 2 c\u1ea1nh n\u1eb1m tr\u00ean 2 \u0111\u01b0\u1eddng $x+y-3=0$ v\u00e0 $2x+y+1=0$<\/label>\n\n\n <label><input type=\"checkbox\" data-value=\"false\"> \u0110o\u1ea1n th\u1eb3ng $NP$ n\u1eb1m trong mi\u1ec1n nghi\u1ec7m v\u1edbi $N(-4;-1)$ v\u00e0 $P(-5;-8)$<\/label>\t \n \t<\/div>\n <\/div>\n \n\n \n \n<\/div>\n\n \n\n <h1 font-size: 15px; ; color: #333> 3. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111i\u1ec1n khuy\u1ebft <\/h1>\n<div class=\"section\" id=\"section-3\">\n\t<div class=\"question\">\n\t <h2>\u00d4 t\u00f4 \u0111ang \u1edf v\u1ecb tr\u00ed A mu\u1ed1n \u0111\u1ebfn m\u1ed9t \u0111i\u1ec3m B c\u00e1ch A m\u1ed9t qu\u00e3ng 400 m\u00e9t v\u00e0 n\u1eb1m \u1edf h\u01b0\u1edbng l\u1ec7ch \u0111\u00f4ng $30^o$ so v\u1edbi h\u01b0\u1edbng B\u1eafc. Sau khi \u0111\u1ebfn \u0111i\u1ec3m B, \u00f4 t\u00f4 di chuy\u1ec3n \u0111\u1ebfn m\u1ed9t \u0111i\u1ec3m C c\u00e1ch B m\u1ed9t qu\u00e3ng 300 m\u00e9t, g\u00f3c t\u1eeb \u0111i\u1ec3m B \u0111\u1ebfn \u0111i\u1ec3m C l\u00e0 $120^o$ (theo chi\u1ec1u kim \u0111\u1ed3ng h\u1ed3). H\u00e3y x\u00e1c \u0111\u1ecbnh kho\u1ea3ng c\u00e1ch t\u1eeb A \u0111\u1ebfn C (l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb).<\/h2>\n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"361\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-1\"><\/span>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Cho hai g\u00f3c $\\alpha,\\beta\\in [0^o;180^o]$. N\u1ebfu $\\sin\\alpha>\\dfrac{\\sqrt{3}}{2}>\\sin\\beta$ v\u00e0 $\\cos\\alpha<0<\\cos\\beta$ th\u00ec $\\alpha$ thu\u1ed9c $(a^o;b^o)$ v\u00e0 $\\beta$ thu\u1ed9c $[c^o;d^o)$. X\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb c\u1ee7a $a+b+c+d$.<\/h2>\n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"270\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-2\"><\/span>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Trong m\u1ed9t th\u01b0 vi\u1ec7n, c\u00f3 150 cu\u1ed1n s\u00e1ch \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i theo ba th\u1ec3 lo\u1ea1i: Ti\u1ec3u thuy\u1ebft (T), Khoa h\u1ecdc (K) v\u00e0 L\u1ecbch s\u1eed (L). C\u00e1c th\u00f4ng tin \u0111\u01b0\u1ee3c cung c\u1ea5p nh\u01b0 sau:<br>\n\t <ul style=\"margin-top: 0; margin-bottom: 0;\">\n\t <li>70 cu\u1ed1n s\u00e1ch thu\u1ed9c th\u1ec3 lo\u1ea1i Ti\u1ec3u thuy\u1ebft.<\/li>\n\t <li>60 cu\u1ed1n s\u00e1ch thu\u1ed9c th\u1ec3 lo\u1ea1i Khoa h\u1ecdc.<\/li>\n\t <li>50 cu\u1ed1n s\u00e1ch thu\u1ed9c th\u1ec3 lo\u1ea1i L\u1ecbch s\u1eed.<\/li>\n\t <li>30 cu\u1ed1n s\u00e1ch thu\u1ed9c c\u1ea3 Ti\u1ec3u thuy\u1ebft v\u00e0 Khoa h\u1ecdc.<\/li>\n\t <li>20 cu\u1ed1n s\u00e1ch thu\u1ed9c c\u1ea3 Ti\u1ec3u thuy\u1ebft v\u00e0 L\u1ecbch s\u1eed.<\/li>\n\t <li>10 cu\u1ed1n s\u00e1ch thu\u1ed9c c\u1ea3 Khoa h\u1ecdc v\u00e0 L\u1ecbch s\u1eed.<\/li>\n\t <li>5 cu\u1ed1n s\u00e1ch thu\u1ed9c c\u1ea3 ba th\u1ec3 lo\u1ea1i.<\/li>\n\t <\/ul>\n\t S\u1ed1 cu\u1ed1n s\u00e1ch ch\u1ec9 thu\u1ed9c lo\u1ea1i ti\u1ec3u thuy\u1ebft l\u00e0\n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"25\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-3\"><\/span>\n\t<\/h2>\n\t<\/div>\n \n\t<div class=\"question\">\n\t <h2>Trong m\u1ed9t nh\u00e0 m\u00e1y, nhi\u1ec7t \u0111\u1ed9 ho\u1ea1t \u0111\u1ed9ng an to\u00e0n \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh trong $[20^o;30^o]$. Tuy nhi\u00ean, nh\u00e0 m\u00e1y c\u0169ng ghi nh\u1eadn nhi\u1ec7t \u0111\u1ed9 \u1edf c\u00e1c khu v\u1ef1c kh\u00e1c nhau:\n\t <ul style=\"margin-top: 0; margin-bottom: 0;\">\n\t <li>Nhi\u1ec7t \u0111\u1ed9 trong khu v\u1ef1c s\u1ea3n xu\u1ea5t, ghi nh\u1eadn trong $[22^o,28^o]$<\/li>\n\t <li>Nhi\u1ec7t \u0111\u1ed9 trong khu v\u1ef1c kho, ghi nh\u1eadn trong $[25^o,32^o]$<\/li>\n\t <\/ul>\n\t T\u1eadp nhi\u1ec7t \u0111\u1ed9 kh\u00f4ng an to\u00e0n trong khu v\u1ef1c kho c\u00f3 d\u1ea1ng \n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"(30;32]\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-1\"><\/span>\n\t <\/h2>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Cho t\u1eadp $X$ l\u00e0 t\u1eadp c\u00f3 h\u1eefu h\u1ea1n ph\u1ea7n t\u1eed. T\u1eadp $X$ c\u00f3 c\u00e1c t\u1eadp con kh\u00e1c r\u1ed7ng $A,B,C,D$. Trong \u0111\u00f3, $X=A\\cup B=C\\cup D$, $A\\cap B\\emptyset$, $C\\cap D\\emptyset$. Bi\u1ebft r\u1eb1ng $n(A\\cap C)=5$, $n(A\\cap D)=10$, $n(B\\cap C)=6$, $n(B\\cap D)=8$. S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a $B\\cup C$ l\u00e0 \n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"19\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-2\"><\/span>\n\t <\/h2>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2> M\u1ed9t h\u1ed9 n\u00f4ng d\u00e2n d\u1ef1 \u0111\u1ecbnh tr\u1ed3ng d\u1ee9a v\u00e0 c\u1ee7 \u0111\u1eadu tr\u00ean di\u1ec7n t\u00edch 8 ha. Tr\u00ean m\u1ed7i ha, n\u1ebfu tr\u1ed3ng d\u1ee9a th\u00ec c\u1ea7n 20 c\u00f4ng v\u00e0 thu 3 tri\u1ec7u \u0111\u1ed3ng, n\u1ebfu tr\u1ed3ng c\u1ee7 \u0111\u1eadu th\u00ec c\u1ea7n 30 c\u00f4ng v\u00e0 thu 4 tri\u1ec7u \u0111\u1ed3ng. S\u1ed1 ti\u1ec1n nhi\u1ec1u nh\u1ea5t m\u00e0 h\u1ed9 n\u00f4ng d\u00e2n c\u00f3 th\u1ec3 thu \u0111\u01b0\u1ee3c l\u00e0 bao nhi\u00eau? Bi\u1ebft t\u1ed5ng s\u1ed1 c\u00f4ng kh\u00f4ng qu\u00e1 180\n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"26\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\t \n\t <span class=\"preview\" id=\"preview-2\"><\/span>\n\t \n\t <\/h2>\n\t<\/div>\t\n\t \n \n \n<\/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<\/form>\n<button type=\"button\" id=\"submit-button\">N\u1ed9p b\u00e0i<\/button>\n<div id=\"result\"><\/div>\n\n<script>\n\/\/ Move this outside of calculateScore\nfunction updatePreview(input) {\n const previewElement = input.closest('.question').querySelector('.preview');\n const userAnswer = input.value.trim();\n previewElement.innerHTML = userAnswer ? `<p class=\"ql-center-displayed-equation\" style=\"line-height: 14px;\"><span class=\"ql-right-eqno\"> <\/span><span class=\"ql-left-eqno\"> <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-b33f90f17a54db694571edfd9c40f7cc_l3.svg\" height=\"14\" width=\"93\" class=\"ql-img-displayed-equation \" alt=\"\[${userAnswer}\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>` : '';\n renderMathInElement(previewElement);\n}\n\nfunction normalizeLatex(latex) {\n latex = latex.replace(\/\\s+\/g, ' ').trim();\n latex = latex.replace(\/\\\\dfrac{([^}]*)}{([^}]*)}\/g, (match, num, denom) => {\n return `\\\\dfrac{${num.trim()}}{${denom.trim()}}`;\n });\n latex = latex.replace(\/\\\\pm\/g, '\u00b1')\n .replace(\/\\\\sqrt{([^}]*)}\/g, '\u221a($1)')\n .replace(\/\\\\frac{([^}]*)}{([^}]*)}\/g, '($1)\/($2)')\n .replace(\/\\\\dfrac{([^}]*)}{([^}]*)}\/g, '($1)\/($2)');\n return latex;\n}\n\nlet totalScore = 0;\n\nfunction calculateScore() {\n totalScore = 0; \/\/ \u0110\u1eb7t l\u1ea1i \u0111i\u1ec3m tr\u01b0\u1edbc khi t\u00ednh to\u00e1n\n const sections = document.querySelectorAll('.section');\n\n \/\/ Part 1: Multiple Choice\n const question1 = sections[0].querySelectorAll('.question');\n question1.forEach(question => {\n const selectedRadio = question.querySelector('input[type=\"radio\"]:checked');\n if (selectedRadio && selectedRadio.dataset.value === \"true\") {\n totalScore++; \/\/ 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} \/ ${maxScore}`;\n}\n\n\t\/\/ Attach event listener correctly\ndocument.getElementById('submit-button').addEventListener('click', function() {\n calculateScore(); \/\/ T\u00ednh \u0111i\u1ec3m\n\n const name = document.getElementById('name').value;\n\n \/\/ Ki\u1ec3m tra xem t\u00ean c\u00f3 \u0111\u01b0\u1ee3c nh\u1eadp v\u00e0 \u0111i\u1ec3m c\u00f3 h\u1ee3p l\u1ec7\n if (!name || totalScore === 0) {\n alert('Vui l\u00f2ng nh\u1eadp t\u00ean v\u00e0 ch\u1eafc ch\u1eafn r\u1eb1ng b\u1ea1n \u0111\u00e3 l\u00e0m b\u00e0i.');\n return; \/\/ Ng\u1eebng n\u1ebfu kh\u00f4ng h\u1ee3p l\u1ec7\n }\n\n \/\/ G\u1eedi d\u1eef li\u1ec7u \u0111\u1ebfn server\n fetch('https:\/\/script.google.com\/macros\/s\/AKfycbzHg2x_X-slmAnt2W8uyaDLz6dPr1o96E73Xc8MTlcz6N-uHLJ65DFTGwPI_MuU9X1-\/exec', {\n method: 'POST',\n headers: {\n 'Content-Type': 'application\/x-www-form-urlencoded',\n },\n body: `name=${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\n\n\n<\/script>\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>B\u00e0i Test Tr\u1eafc Nghi\u1ec7m 1. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn Cho \u0111\u1ecbnh l\u00fd to\u00e1n h\u1ecdc d\u1ea1ng m\u1ec7nh \u0111\u1ec1 $P \\Rightarrow Q$. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 sai? $Q$ l\u00e0 \u0111i\u1ec1u ki\u1ec7n c\u1ea7n \u0111\u1ec3 c\u00f3 $P$ $P$ l\u00e0 gi\u1ea3 thi\u1ebft, $Q$ l\u00e0 k\u1ebft lu\u1eadn $P$ l\u00e0 \u0111i\u1ec1u ki\u1ec7n \u0111\u1ee7 \u0111\u1ec3 c\u00f3 $Q$ $Q$ l\u00e0 […]<\/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-760","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/760","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=760"}],"version-history":[{"count":55,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/760\/revisions"}],"predecessor-version":[{"id":830,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/760\/revisions\/830"}],"wp:attachment":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=760"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=760"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":760,"date":"2024-11-04T11:51:55","date_gmt":"2024-11-04T04:51:55","guid":{"rendered":"https:\/\/sunflower-math.com\/?p=760"},"modified":"2024-11-12T21:46:03","modified_gmt":"2024-11-12T14:46:03","slug":"bai-ktgk-1-toan-10","status":"publish","type":"post","link":"https:\/\/sunflower-math.com\/?p=760","title":{"rendered":"B\u00c0I KTGK 1 TO\u00c1N 10"},"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=Latin+Modern:wght@400&display=swap\" rel=\"stylesheet\">\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: 'Latin Modern';\n line-height: 1.5;\n font-size: 19px;\n } \n .question {\n \n counter-increment: question;\n \/* border: 2px solid #4CAF50; \u0110\u01b0\u1eddng vi\u1ec1n m\u00e0u xanh l\u00e1 c\u00e2y *\/\n background-color: #ebfab4; \/* M\u00e0u n\u1ec1n nh\u1ea1t *\/\n padding: 5px; \/* Kho\u1ea3ng c\u00e1ch b\u00ean trong *\/\n margin: 10px 0; \/* Kho\u1ea3ng c\u00e1ch b\u00ean ngo\u00e0i *\/\n border-radius: 8px; \/* Bo g\u00f3c cho \u0111\u01b0\u1eddng vi\u1ec1n *\/\n }\n .question::before {\n content: \"C\u00e2u \" counter(question) \". \";\n font-weight: bold;\n display: inline;\n }\n h2 {\n font-size: 19px;\n font-weight: normal;\n margin-bottom: 0;\n display: inline;\n }\n .options {\n margin-top: 0;\n }\n .options label { font-size: 19px;\n display: block;\n margin: 3px 0;\n }\n .column-1 .options {\n display: block;\n }\n .column-2 .options {\n column-count: 2;\n column-gap: 8px;\n }\n .column-4 .options {\n column-count: 4;\n column-gap: 8px;\n } \n \n input[type=\"radio\"] {\n appearance: none;\n width: 15px;\n height: 15px;\n border: 2px solid #333;\n border-radius: 50%;\n background-color: white;\n cursor: pointer;\n outline: none; \n \n \n }\n input[type=\"checkbox\"] {\n appearance: none;\n width: 20px;\n height: 20px;\n border: 2px solid #333;\n background-color: white;\n cursor: pointer;\n outline: none;\n }\n input[type=\"radio\"]:checked, input[type=\"checkbox\"]:checked {\n background-color: #99ce34;\n }\n .blank-container {\n display: inline-flex;\n align-items: center;\n margin-left: 10px;\n }\n .blank {\n border-bottom: 1px solid #333;\n width: 200px;\n text-align: center;\n }\n #result {\n margin-top: 20px;\n font-weight: bold;\n }\n .katex {\n font-size: 19px; \/* \u0110i\u1ec1u ch\u1ec9nh gi\u00e1 tr\u1ecb n\u00e0y \u0111\u1ec3 t\u0103ng\/gi\u1ea3m k\u00edch th\u01b0\u1edbc c\u00f4ng th\u1ee9c *\/\n ; \/* Thay \u0111\u1ed5i font ch\u1eef \u1edf \u0111\u00e2y *\/ \n }\n <\/style>\n<\/head>\n<body>\n\n<div id=\"timer\" style=\"font-size: 24px; text-align: center; margin-bottom: 20px;\"><\/div> \n<h1 font-size: 15px; font-weight: bold; color: #333> 1. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn<\/h1>\n<div class=\"section\" id=\"section-1\">\n\t<div class=\"question column-2\">\n\t <h2>Cho \u0111\u1ecbnh l\u00fd to\u00e1n h\u1ecdc d\u1ea1ng m\u1ec7nh \u0111\u1ec1 $P \\Rightarrow Q$. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 sai?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $Q$ l\u00e0 \u0111i\u1ec1u ki\u1ec7n c\u1ea7n \u0111\u1ec3 c\u00f3 $P$<\/label>\n\t <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $P$ l\u00e0 gi\u1ea3 thi\u1ebft, $Q$ l\u00e0 k\u1ebft lu\u1eadn<\/label>\n\t <label><input type=\"radio\" name=\"question1\" data-value=\"false\"> $P$ l\u00e0 \u0111i\u1ec1u ki\u1ec7n \u0111\u1ee7 \u0111\u1ec3 c\u00f3 $Q$<\/label>\n\t <label><input type=\"radio\" name=\"question1\" data-value=\"true\"> $Q$ l\u00e0 gi\u1ea3 thi\u1ebft, $P$ l\u00e0 k\u1ebft lu\u1eadn<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-2\">\n\t <h2>Trong c\u00e1c c\u00e2u d\u01b0\u1edbi \u0111\u00e2y, c\u00e2u n\u00e0o l\u00e0 m\u1ec7nh \u0111\u1ec1 to\u00e1n h\u1ecdc?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> Tr\u1eddi h\u00f4m nay l\u1ea1nh qu\u00e1!<\/label>\n\t <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> B\u1ea1n c\u00f3 th\u00edch h\u1ecdc to\u00e1n kh\u00f4ng?<\/label>\n\t <label><input type=\"radio\" name=\"question2\" data-value=\"false\"> B\u1ea1n bao nhi\u00eau tu\u1ed5i?<\/label>\n\t <label><input type=\"radio\" name=\"question2\" data-value=\"true\"> Ph\u01b0\u01a1ng tr\u00ecnh $x^2 – 2x + 2 = 0$ v\u00f4 nghi\u1ec7m<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-4\">\n\t <h2>Cho t\u1eadp h\u1ee3p $X = \\{ 0; 2; 5 \\} $. T\u1eadp h\u1ee3p n\u00e0o d\u01b0\u1edbi \u0111\u00e2y kh\u00f4ng ph\u1ea3i l\u00e0 t\u1eadp con c\u1ee7a t\u1eadp h\u1ee3p $X$?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $\\emptyset$<\/label>\n\t <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $\\left\\{ 2 \\right\\}$<\/label>\n\t <label><input type=\"radio\" name=\"question3\" data-value=\"false\"> $\\left\\{ 0; 2; 5 \\right\\}$<\/label>\n\t <label><input type=\"radio\" name=\"question3\" data-value=\"true\"> $\\left\\{ 0; 1; 2 \\right\\}$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-4\">\n\t <h2>Cho hai t\u1eadp h\u1ee3p $A = \\left[ – 3; 3 \\right]$, $B = \\left[ 1; 5 \\right]$. T\u1eadp h\u1ee3p $A \\setminus B$ b\u1eb1ng<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $[ 2; 5 ]$<\/label>\n\t <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $[ 0; 2 ]$<\/label>\n\t <label><input type=\"radio\" name=\"question4\" data-value=\"false\"> $[ – 3; 5 ]$<\/label>\n\t <label><input type=\"radio\" name=\"question4\" data-value=\"true\"> $[ – 3; 1 )$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-2\">\n\t <h2>B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o sau \u0111\u00e2y <b>kh\u00f4ng ph\u1ea3i<\/b> l\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $\\dfrac{x}{2} – \\dfrac{y}{3} + 10 < 0$<\/label>\n\t <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $2x – 3y + 5 < 0$<\/label>\n\t <label><input type=\"radio\" name=\"question5\" data-value=\"true\"> $x + 3y^2 – 2x + 1 \\leq 0$<\/label>\n\t <label><input type=\"radio\" name=\"question5\" data-value=\"false\"> $x – 5y – 1 \\geq 0$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-4\">\n\t <h2>Trong c\u00e1c c\u1eb7p s\u1ed1 sau \u0111\u00e2y, c\u1eb7p n\u00e0o <b>kh\u00f4ng<\/b> l\u00e0 nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh $x – 4y + 5 \\geq 0$?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $( 0; 0 )$<\/label>\n\t <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $( 1; – 3 )$<\/label>\n\t <label><input type=\"radio\" name=\"question6\" data-value=\"true\"> $( – 2; 1 )$<\/label>\n\t <label><input type=\"radio\" name=\"question6\" data-value=\"false\"> $( – 5; 0 )$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-2\">\n\t <h2>H\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $\\begin{cases} x – y < 2 \\\\ x + y^2 > 1 \\end{cases}$<\/label>\n\t <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $\\begin{cases} x – y > 0 \\\\ 2xy < 1 \\end{cases}$<\/label>\n\t <label><input type=\"radio\" name=\"question7\" data-value=\"true\"> $\\begin{cases} x – 2y \\leq 3 \\\\ x + y > -1 \\end{cases}$<\/label>\n\t <label><input type=\"radio\" name=\"question7\" data-value=\"false\"> $\\begin{cases} x \\leq 0 \\\\ x^2 + y^2 < 1 \\end{cases}$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question column-2\">\n\t <h2> Trong c\u00e1c \u0111\u1eb3ng th\u1ee9c sau, \u0111\u1eb3ng th\u1ee9c n\u00e0o sai? <\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $\\sin 45^\\circ + \\cos 45^\\circ = \\sqrt{2}$ <\/label>\n\t <label><input type=\"radio\" name=\"question8\" data-value=\"true\"> $\\sin 30^\\circ + \\cos 60^\\circ = 1$ <\/label>\n\t <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $\\sin 60^\\circ + \\cos 150^\\circ = 0$ <\/label>\n\t <label><input type=\"radio\" name=\"question8\" data-value=\"false\"> $\\sin 120^\\circ – \\cos 30^\\circ = 0$ <\/label>\n\t <\/div>\n\t<\/div>\n\t\t\n\t<div class=\"question column-2\">\n\t <h2>Cho tam gi\u00e1c $ABC$ v\u1edbi $BC = a$, $AC = b$, $AB = c$. M\u1ec7nh \u0111\u1ec1 n\u00e0o sau \u0111\u00e2y \u0111\u00fang?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $a^2 = b^2 + c^2 + 2bc\\cos A$ <\/label>\n\t <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $b^2 = a^2 + c^2 – 2ac\\cos B$ <\/label>\n\t <label><input type=\"radio\" name=\"question9\" data-value=\"false\"> $c^2 = a^2 + b^2 – 2ab\\cos C$ <\/label>\n\t <label><input type=\"radio\" name=\"question9\" data-value=\"true\"> $a^2 = b^2 + c^2 – 2bc\\cos A$ <\/label>\n\t <\/div> \t \n <\/div>\n \n <div class=\"question column-2\">\n <h2>Ph\u1ea7n kh\u00f4ng t\u00f4 \u0111\u1eadm trong h\u00ecnh v\u1ebd, bi\u1ec3u di\u1ec5n mi\u1ec1n nghi\u1ec7m c\u1ee7a h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh n\u00e0o?<\/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-93d324a40fff424025fb225ff2a72e04_l3.svg\" height=\"197\" width=\"392\" 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=\"question10\" data-value=\"false\"> $\\begin{cases} x-2y<-2 \\\\ x-2y>3 \\end{cases}$<\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $\\begin{cases} x-2y>-2 \\\\ x-2y>3 \\end{cases}$<\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"true\"> $\\begin{cases} x-2y>-2 \\\\ x-2y<3 \\end{cases}$<\/label>\n <label><input type=\"radio\" name=\"question10\" data-value=\"false\"> $\\begin{cases} x-2y<-2 \\\\ x-2y<3 \\end{cases}$<\/label>\n <\/div>\n <\/div>\n \n <div class=\"question column-4\">\n <h2>Tam gi\u00e1c $ABC$ c\u00f3 $a = 4$, $b = 5$, $c = 6$. \u0110\u1ed9 d\u00e0i \u0111\u01b0\u1eddng cao $h_a$ b\u1eb1ng<\/h2>\n <div class=\"options\">\n <label><input type=\"radio\" name=\"question11\" data-value=\"true\"> $\\dfrac{15\\sqrt{7}}{8}$<\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $\\dfrac{3}{2\\sqrt{7}}$<\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $\\dfrac{3\\sqrt{7}}{4}$<\/label>\n <label><input type=\"radio\" name=\"question11\" data-value=\"false\"> $\\dfrac{4\\sqrt{7}}{3}$<\/label>\n <\/div>\n <\/div>\n \n\t<div class=\"question column-2\">\n\t <h2>Cho $\\alpha$ v\u00e0 $\\beta$ l\u00e0 hai g\u00f3c kh\u00e1c nhau v\u00e0 b\u00f9 nhau. Trong c\u00e1c \u0111\u1eb3ng th\u1ee9c sau \u0111\u00e2y, \u0111\u1eb3ng th\u1ee9c n\u00e0o sai?<\/h2>\n\t <div class=\"options\">\n\t <label><input type=\"radio\" name=\"question12\" data-value=\"false\"> $\\sin \\alpha = \\sin \\beta$<\/label>\n\t <label><input type=\"radio\" name=\"question12\" data-value=\"false\"> $\\cos \\alpha = -\\cos \\beta$<\/label>\n\t <label><input type=\"radio\" name=\"question12\" data-value=\"false\"> $\\tan \\alpha = -\\tan \\beta$<\/label>\n\t <label><input type=\"radio\" name=\"question12\" data-value=\"true\"> $\\cot \\alpha = \\cot \\beta$<\/label>\n\t <\/div>\n\t<\/div> \n<\/div>\n\n\n<h1 font-size: 15px; font-weight: bold; color: #333>2. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111\u00fang sai<\/h1>\n<div class=\"section\" id=\"section-2\">\n\n\t\n\t<div class=\"question\">\n\t <h2>Cho hai \u0111a th\u1ee9c $P(x)=x^2-3x+2$ v\u00e0 $Q(x)=x^2-5x+6$. G\u1ecdi $S_1,S_2$ l\u00e0 t\u1eadp nghi\u1ec7m c\u1ee7a $P(x)$ v\u00e0 $Q(x)$. X\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/h2>\n\t <div class=\"options\">\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $S_1$ c\u00f3 1 ph\u1ea7n t\u1eed<\/label>\n\t <label><input type=\"checkbox\" data-value=\"true\"> $S_2$ c\u00f3 2 ph\u1ea7n t\u1eed<\/label>\n\n\t <label><input type=\"checkbox\" data-value=\"true\"> Ph\u00e2n th\u1ee9c $\\dfrac{1}{P(x)Q(x)}$ c\u00f3 \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh l\u00e0 $x\\not\\in S_1\\cup S_2$<\/label>\n\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> Ph\u00e2n th\u1ee9c $\\dfrac{1}{P(x)+Q(x)}$ c\u00f3 \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh l\u00e0 $x\\in S_1\\cup S_2$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Cho $A,B$ l\u00e0 hai t\u1eadp kh\u00e1c r\u1ed7ng v\u00e0 kh\u00f4ng c\u00f3 ph\u1ea7n t\u1eed chung. \u0110\u1eb7t $X= A\\cup B$. L\u1ea5y $C$ l\u00e0 m\u1ed9t t\u1eadp con c\u1ee7a $X$. X\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/h2>\n\t <div class=\"options\">\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> N\u1ebfu $A\\subset B$ th\u00ec $A\\cap B= B$<\/label>\n\t <label><input type=\"checkbox\" data-value=\"true\"> N\u1ebfu $A\\subset B$ th\u00ec $A\\cup B= B$<\/label>\n\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $A\\setminus (A\\cap B)= B\\setminus A$<\/label>\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $C=(C\\cap A)\\cap (C\\cap B)$<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>M\u1ed9t c\u00f4ng ty vi\u1ec5n th\u00f4ng t\u00ednh ph\u00ed 1 ngh\u00ecn \u0111\u1ed3ng m\u1ed7i ph\u00fat g\u1ecdi m\u1ea1ng n\u1ed9i m\u1ea1ng v\u00e0 2 ngh\u00ecn \u0111\u1ed3ng m\u1ed7i ph\u00fat g\u1ecdi ngo\u1ea1i m\u1ea1ng. C\u00f4 gi\u00e1o Ph\u01b0\u01a1ng c\u00f3 s\u1eed d\u1ee5ng \u0111\u1ecbch v\u1ee5 c\u1ee7a c\u00f4ng ty. G\u1ecdi $x$ v\u00e0 $y$ l\u1ea7n l\u01b0\u1ee3t l\u00e0 s\u1ed1 ph\u00fat g\u1ecdi n\u1ed9i m\u1ea1ng, ngo\u1ea1i m\u1ea1ng c\u1ee7a c\u00f4 trong m\u1ed9t th\u00e1ng. G\u1ecdi $M$ l\u00e0 s\u1ed1 ti\u1ec1n c\u01b0\u1edbc vi\u1ec5n th\u00f4ng (\u0111\u01a1n v\u1ecb ng\u00e0n \u0111\u1ed3ng) m\u00e0 c\u00f4 ph\u1ea3i tr\u1ea3. Theo k\u1ebf ho\u1ea1ch chi ti\u00eau C\u00f4 Ph\u01b0\u01a1ng ch\u1ec9 mu\u1ed1n s\u1ed1 ti\u1ec1n c\u01b0\u1edbc ph\u1ea3i tr\u1ea3 cho c\u00e1c cu\u1ed9c g\u1ecdi nh\u1ecf h\u01a1n 200 ngh\u00ecn \u0111\u1ed3ng. X\u00e9t t\u00ednh \u0111\u00fang sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/h2>\n\t <div class=\"options\">\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> S\u1ed1 ti\u1ec1n ph\u1ea3i tr\u1ea3 n\u1ed9i m\u1ea1ng m\u1ed7i th\u00e1ng l\u00e0 $2x$ (ngh\u00ecn \u0111\u1ed3ng), s\u1ed1 ti\u1ec1n ph\u1ea3i tr\u1ea3 cho cu\u1ed9c g\u1ecdi ngo\u1ea1i m\u1ea1ng m\u1ed7i th\u00e1ng l\u00e0 $y$ (ngh\u00ecn \u0111\u1ed3ng). \u0110i\u1ec1u ki\u1ec7n: $x ,y >0$<\/label>\n\t <label><input type=\"checkbox\" data-value=\"true\"> Theo k\u1ebf ho\u1ea1ch c\u1ee7a c\u00f4 Ph\u01b0\u01a1ng, $M \\leq 200$<\/label>\n\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $M=x-2y$<\/label>\n\n\t <label><input type=\"checkbox\" data-value=\"false\"> $x = 20$, $y = 50$ l\u00e0 m\u1ed9t l\u1ef1a ch\u1ecdn ph\u00f9 h\u1ee3p cho chi ti\u00eau c\u1ee7a c\u00f4 Ph\u01b0\u01a1ng<\/label>\n\t <\/div>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Cho h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh\n $\\begin{cases} x+y\\geq 3\\\\ 2x+y\\leq -1 \\end{cases}$\n \tX\u00e9t t\u00ednh \u0111\u00fang, sai c\u1ee7a c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau:<\/h2>\n \t<div class=\"options\">\n \n <label><input type=\"checkbox\" data-value=\"false\"> B\u1ed9 s\u1ed1 $(x;y)=(-5;-8)$ l\u00e0 m\u1ed9t nghi\u1ec7m c\u1ee7a h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh<\/label>\n\n <label><input type=\"checkbox\" data-value=\"false\"> $N(-4;-1)$ l\u00e0 \u0111i\u1ec3m bi\u1ec3u di\u1ec5n nghi\u1ec7m c\u1ee7a h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh<\/label>\n <label><input type=\"checkbox\" data-value=\"true\"> Mi\u1ec1n nghi\u1ec7m c\u1ee7a h\u1ec7 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh l\u00e0 m\u1ed9t g\u00f3c c\u00f3 2 c\u1ea1nh n\u1eb1m tr\u00ean 2 \u0111\u01b0\u1eddng $x+y-3=0$ v\u00e0 $2x+y+1=0$<\/label>\n\n\n <label><input type=\"checkbox\" data-value=\"false\"> \u0110o\u1ea1n th\u1eb3ng $NP$ n\u1eb1m trong mi\u1ec1n nghi\u1ec7m v\u1edbi $N(-4;-1)$ v\u00e0 $P(-5;-8)$<\/label>\t \n \t<\/div>\n <\/div>\n \n\n \n \n<\/div>\n\n \n\n <h1 font-size: 15px; ; color: #333> 3. Ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111i\u1ec1n khuy\u1ebft <\/h1>\n<div class=\"section\" id=\"section-3\">\n\t<div class=\"question\">\n\t <h2>\u00d4 t\u00f4 \u0111ang \u1edf v\u1ecb tr\u00ed A mu\u1ed1n \u0111\u1ebfn m\u1ed9t \u0111i\u1ec3m B c\u00e1ch A m\u1ed9t qu\u00e3ng 400 m\u00e9t v\u00e0 n\u1eb1m \u1edf h\u01b0\u1edbng l\u1ec7ch \u0111\u00f4ng $30^o$ so v\u1edbi h\u01b0\u1edbng B\u1eafc. Sau khi \u0111\u1ebfn \u0111i\u1ec3m B, \u00f4 t\u00f4 di chuy\u1ec3n \u0111\u1ebfn m\u1ed9t \u0111i\u1ec3m C c\u00e1ch B m\u1ed9t qu\u00e3ng 300 m\u00e9t, g\u00f3c t\u1eeb \u0111i\u1ec3m B \u0111\u1ebfn \u0111i\u1ec3m C l\u00e0 $120^o$ (theo chi\u1ec1u kim \u0111\u1ed3ng h\u1ed3). H\u00e3y x\u00e1c \u0111\u1ecbnh kho\u1ea3ng c\u00e1ch t\u1eeb A \u0111\u1ebfn C (l\u00e0m tr\u00f2n \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb).<\/h2>\n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"361\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-1\"><\/span>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Cho hai g\u00f3c $\\alpha,\\beta\\in [0^o;180^o]$. N\u1ebfu $\\sin\\alpha>\\dfrac{\\sqrt{3}}{2}>\\sin\\beta$ v\u00e0 $\\cos\\alpha<0<\\cos\\beta$ th\u00ec $\\alpha$ thu\u1ed9c $(a^o;b^o)$ v\u00e0 $\\beta$ thu\u1ed9c $[c^o;d^o)$. X\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb c\u1ee7a $a+b+c+d$.<\/h2>\n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"270\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-2\"><\/span>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Trong m\u1ed9t th\u01b0 vi\u1ec7n, c\u00f3 150 cu\u1ed1n s\u00e1ch \u0111\u01b0\u1ee3c ph\u00e2n lo\u1ea1i theo ba th\u1ec3 lo\u1ea1i: Ti\u1ec3u thuy\u1ebft (T), Khoa h\u1ecdc (K) v\u00e0 L\u1ecbch s\u1eed (L). C\u00e1c th\u00f4ng tin \u0111\u01b0\u1ee3c cung c\u1ea5p nh\u01b0 sau:<br>\n\t <ul style=\"margin-top: 0; margin-bottom: 0;\">\n\t <li>70 cu\u1ed1n s\u00e1ch thu\u1ed9c th\u1ec3 lo\u1ea1i Ti\u1ec3u thuy\u1ebft.<\/li>\n\t <li>60 cu\u1ed1n s\u00e1ch thu\u1ed9c th\u1ec3 lo\u1ea1i Khoa h\u1ecdc.<\/li>\n\t <li>50 cu\u1ed1n s\u00e1ch thu\u1ed9c th\u1ec3 lo\u1ea1i L\u1ecbch s\u1eed.<\/li>\n\t <li>30 cu\u1ed1n s\u00e1ch thu\u1ed9c c\u1ea3 Ti\u1ec3u thuy\u1ebft v\u00e0 Khoa h\u1ecdc.<\/li>\n\t <li>20 cu\u1ed1n s\u00e1ch thu\u1ed9c c\u1ea3 Ti\u1ec3u thuy\u1ebft v\u00e0 L\u1ecbch s\u1eed.<\/li>\n\t <li>10 cu\u1ed1n s\u00e1ch thu\u1ed9c c\u1ea3 Khoa h\u1ecdc v\u00e0 L\u1ecbch s\u1eed.<\/li>\n\t <li>5 cu\u1ed1n s\u00e1ch thu\u1ed9c c\u1ea3 ba th\u1ec3 lo\u1ea1i.<\/li>\n\t <\/ul>\n\t S\u1ed1 cu\u1ed1n s\u00e1ch ch\u1ec9 thu\u1ed9c lo\u1ea1i ti\u1ec3u thuy\u1ebft l\u00e0\n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"25\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-3\"><\/span>\n\t<\/h2>\n\t<\/div>\n \n\t<div class=\"question\">\n\t <h2>Trong m\u1ed9t nh\u00e0 m\u00e1y, nhi\u1ec7t \u0111\u1ed9 ho\u1ea1t \u0111\u1ed9ng an to\u00e0n \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh trong $[20^o;30^o]$. Tuy nhi\u00ean, nh\u00e0 m\u00e1y c\u0169ng ghi nh\u1eadn nhi\u1ec7t \u0111\u1ed9 \u1edf c\u00e1c khu v\u1ef1c kh\u00e1c nhau:\n\t <ul style=\"margin-top: 0; margin-bottom: 0;\">\n\t <li>Nhi\u1ec7t \u0111\u1ed9 trong khu v\u1ef1c s\u1ea3n xu\u1ea5t, ghi nh\u1eadn trong $[22^o,28^o]$<\/li>\n\t <li>Nhi\u1ec7t \u0111\u1ed9 trong khu v\u1ef1c kho, ghi nh\u1eadn trong $[25^o,32^o]$<\/li>\n\t <\/ul>\n\t T\u1eadp nhi\u1ec7t \u0111\u1ed9 kh\u00f4ng an to\u00e0n trong khu v\u1ef1c kho c\u00f3 d\u1ea1ng \n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"(30;32]\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-1\"><\/span>\n\t <\/h2>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2>Cho t\u1eadp $X$ l\u00e0 t\u1eadp c\u00f3 h\u1eefu h\u1ea1n ph\u1ea7n t\u1eed. T\u1eadp $X$ c\u00f3 c\u00e1c t\u1eadp con kh\u00e1c r\u1ed7ng $A,B,C,D$. Trong \u0111\u00f3, $X=A\\cup B=C\\cup D$, $A\\cap B\\emptyset$, $C\\cap D\\emptyset$. Bi\u1ebft r\u1eb1ng $n(A\\cap C)=5$, $n(A\\cap D)=10$, $n(B\\cap C)=6$, $n(B\\cap D)=8$. S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a $B\\cup C$ l\u00e0 \n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"19\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\n\t <span class=\"preview\" id=\"preview-2\"><\/span>\n\t <\/h2>\n\t<\/div>\n\t\n\t<div class=\"question\">\n\t <h2> M\u1ed9t h\u1ed9 n\u00f4ng d\u00e2n d\u1ef1 \u0111\u1ecbnh tr\u1ed3ng d\u1ee9a v\u00e0 c\u1ee7 \u0111\u1eadu tr\u00ean di\u1ec7n t\u00edch 8 ha. Tr\u00ean m\u1ed7i ha, n\u1ebfu tr\u1ed3ng d\u1ee9a th\u00ec c\u1ea7n 20 c\u00f4ng v\u00e0 thu 3 tri\u1ec7u \u0111\u1ed3ng, n\u1ebfu tr\u1ed3ng c\u1ee7 \u0111\u1eadu th\u00ec c\u1ea7n 30 c\u00f4ng v\u00e0 thu 4 tri\u1ec7u \u0111\u1ed3ng. S\u1ed1 ti\u1ec1n nhi\u1ec1u nh\u1ea5t m\u00e0 h\u1ed9 n\u00f4ng d\u00e2n c\u00f3 th\u1ec3 thu \u0111\u01b0\u1ee3c l\u00e0 bao nhi\u00eau? Bi\u1ebft t\u1ed5ng s\u1ed1 c\u00f4ng kh\u00f4ng qu\u00e1 180\n\t <span class=\"blank-container\">\n\t <input type=\"text\" class=\"blank\" data-value=\"26\" placeholder=\"\u0110i\u1ec1n v\u00e0o \u0111\u00e2y\" oninput=\"updatePreview(this)\">\n\t <\/span>\t \n\t <span class=\"preview\" id=\"preview-2\"><\/span>\n\t \n\t <\/h2>\n\t<\/div>\t\n\t \n \n \n<\/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<\/form>\n<button type=\"button\" id=\"submit-button\">N\u1ed9p b\u00e0i<\/button>\n<div id=\"result\"><\/div>\n\n<script>\n\/\/ Move this outside of calculateScore\nfunction updatePreview(input) {\n const previewElement = input.closest('.question').querySelector('.preview');\n const userAnswer = input.value.trim();\n previewElement.innerHTML = userAnswer ? `<p class=\"ql-center-displayed-equation\" style=\"line-height: 14px;\"><span class=\"ql-right-eqno\"> <\/span><span class=\"ql-left-eqno\"> <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sunflower-math.com\/wp-content\/ql-cache\/quicklatex.com-b33f90f17a54db694571edfd9c40f7cc_l3.svg\" height=\"14\" width=\"93\" class=\"ql-img-displayed-equation \" alt=\"\[${userAnswer}\]\" title=\"Rendered by QuickLaTeX.com\"\/><\/p>` : '';\n renderMathInElement(previewElement);\n}\n\nfunction normalizeLatex(latex) {\n latex = latex.replace(\/\\s+\/g, ' ').trim();\n latex = latex.replace(\/\\\\dfrac{([^}]*)}{([^}]*)}\/g, (match, num, denom) => {\n return `\\\\dfrac{${num.trim()}}{${denom.trim()}}`;\n });\n latex = latex.replace(\/\\\\pm\/g, '\u00b1')\n .replace(\/\\\\sqrt{([^}]*)}\/g, '\u221a($1)')\n .replace(\/\\\\frac{([^}]*)}{([^}]*)}\/g, '($1)\/($2)')\n .replace(\/\\\\dfrac{([^}]*)}{([^}]*)}\/g, '($1)\/($2)');\n return latex;\n}\n\nlet totalScore = 0;\n\nfunction calculateScore() {\n totalScore = 0; \/\/ \u0110\u1eb7t l\u1ea1i \u0111i\u1ec3m tr\u01b0\u1edbc khi t\u00ednh to\u00e1n\n const sections = document.querySelectorAll('.section');\n\n \/\/ Part 1: Multiple Choice\n const question1 = sections[0].querySelectorAll('.question');\n question1.forEach(question => {\n const selectedRadio = question.querySelector('input[type=\"radio\"]:checked');\n if (selectedRadio && selectedRadio.dataset.value === \"true\") {\n totalScore++; \/\/ 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} \/ ${maxScore}`;\n}\n\n\t\/\/ Attach event listener correctly\ndocument.getElementById('submit-button').addEventListener('click', function() {\n calculateScore(); \/\/ T\u00ednh \u0111i\u1ec3m\n\n const name = document.getElementById('name').value;\n\n \/\/ Ki\u1ec3m tra xem t\u00ean c\u00f3 \u0111\u01b0\u1ee3c nh\u1eadp v\u00e0 \u0111i\u1ec3m c\u00f3 h\u1ee3p l\u1ec7\n if (!name || totalScore === 0) {\n alert('Vui l\u00f2ng nh\u1eadp t\u00ean v\u00e0 ch\u1eafc ch\u1eafn r\u1eb1ng b\u1ea1n \u0111\u00e3 l\u00e0m b\u00e0i.');\n return; \/\/ Ng\u1eebng n\u1ebfu kh\u00f4ng h\u1ee3p l\u1ec7\n }\n\n \/\/ G\u1eedi d\u1eef li\u1ec7u \u0111\u1ebfn server\n fetch('https:\/\/script.google.com\/macros\/s\/AKfycbzHg2x_X-slmAnt2W8uyaDLz6dPr1o96E73Xc8MTlcz6N-uHLJ65DFTGwPI_MuU9X1-\/exec', {\n method: 'POST',\n headers: {\n 'Content-Type': 'application\/x-www-form-urlencoded',\n },\n body: `name=${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\n\n\n<\/script>\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>B\u00e0i Test Tr\u1eafc Nghi\u1ec7m 1. Ph\u1ea7n tr\u1eafc nghi\u1ec7m nhi\u1ec1u l\u1ef1a ch\u1ecdn Cho \u0111\u1ecbnh l\u00fd to\u00e1n h\u1ecdc d\u1ea1ng m\u1ec7nh \u0111\u1ec1 $P \\Rightarrow Q$. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o d\u01b0\u1edbi \u0111\u00e2y l\u00e0 sai? $Q$ l\u00e0 \u0111i\u1ec1u ki\u1ec7n c\u1ea7n \u0111\u1ec3 c\u00f3 $P$ $P$ l\u00e0 gi\u1ea3 thi\u1ebft, $Q$ l\u00e0 k\u1ebft lu\u1eadn $P$ l\u00e0 \u0111i\u1ec1u ki\u1ec7n \u0111\u1ee7 \u0111\u1ec3 c\u00f3 $Q$ $Q$ l\u00e0 […]<\/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-760","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/760","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=760"}],"version-history":[{"count":55,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/760\/revisions"}],"predecessor-version":[{"id":830,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=\/wp\/v2\/posts\/760\/revisions\/830"}],"wp:attachment":[{"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=760"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=760"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sunflower-math.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}