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HomeLớp 12Toán lớp 12 - Sách Kết nối tri thứcBài 5. Ứng dụng đạo hàm để giải quyết một số vấn đề liên quan đến thực tiễn.Bài tập trung bình
{"common":{"save":0,"post_id":"7546","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5474","post_id":"7546","mon_id":"1159285","chapter_id":"1159288","question":"<p>S\u1ef1 \u1ea3nh h\u01b0\u1edfng khi s\u1eed d\u1ee5ng m\u1ed9t lo\u1ea1i \u0111\u1ed9c t\u1ed1 v\u1edbi vi khu\u1ea9n X&nbsp;\u0111\u01b0\u1ee3c m\u1ed9t nh&agrave; sinh h\u1ecdc m&ocirc; t\u1ea3 b\u1eddi h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$P(t)=\\dfrac{t+1}{t^2+t+4}$<\/span>, trong \u0111&oacute; P(t)&nbsp;l&agrave; s\u1ed1 l\u01b0\u1ee3ng vi khu\u1ea9n sau t (gi\u1edd) s\u1eed d\u1ee5ng \u0111\u1ed9c t\u1ed1. V&agrave;o th\u1eddi \u0111i\u1ec3m n&agrave;o&nbsp;th&igrave; s\u1ed1 l\u01b0\u1ee3ng vi khu\u1ea9n X b\u1eaft \u0111\u1ea7u gi\u1ea3m?<\/p>","options":["<strong>A.<\/strong> Ngay t\u1eeb l&uacute;c b\u1eaft \u0111\u1ea7u s\u1eed d\u1ee5ng \u0111\u1ed9c t\u1ed1.","<strong>B.<\/strong> Sau 0,5 gi\u1edd.","<strong>C.<\/strong> Sau 2 gi\u1edd.","<strong>D.<\/strong> Sau 1 gi\u1edd."],"correct":"4","level":"2","hint":"<p>S\u1eed d\u1ee5ng GTLN c\u1ee7a h&agrave;m s\u1ed1.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong> Sau 1 gi\u1edd.<\/span><\/p><p><span class=\"math-tex\">$P(t)=\\dfrac{-t^2-2t+3}{(t^2+t+4)^2}$<\/span>,&nbsp;<span class=\"math-tex\">$t \\ge 0$<\/span>.<\/p><p><span class=\"math-tex\">$P^\\prime(t)=0$<\/span>&nbsp;&hArr; t = 1 (nh\u1eadn)&nbsp;ho\u1eb7c t =&nbsp;&ndash;3 (lo\u1ea1i).<\/p><p>B\u1ea3ng bi\u1ebfn thi&ecirc;n<\/p><p><span class=\"svgedit\"><svg height=\"200\" width=\"320\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#d4ffaa\" height=\"202\" id=\"canvas_background\" width=\"322\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>&lt;title&gt;&lt;\/title><line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"-1.5\" x2=\"319.5\" y1=\"36.25\" y2=\"36\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"-1.5\" x2=\"319.5\" y1=\"72.25\" y2=\"72\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"39.5\" x2=\"39.5\" y1=\"-0.75\" y2=\"201.25\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"13.5\" xml:space=\"preserve\" y=\"23.25\">t<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.5\" xml:space=\"preserve\" y=\"62.25\">P&#39;(t)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"3.5\" xml:space=\"preserve\" y=\"145.25\">P(t)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"46.5\" xml:space=\"preserve\" y=\"23.25\">0<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"175.5\" xml:space=\"preserve\" y=\"23\">1<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"286.5\" xml:space=\"preserve\" y=\"23.25\">+<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(90 305.5,16.250000000000032) \" x=\"300.5\" xml:space=\"preserve\" y=\"23.25\">8<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"108.5\" xml:space=\"preserve\" y=\"58.25\">+<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"237.5\" xml:space=\"preserve\" y=\"47.25\">_<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"175.5\" xml:space=\"preserve\" y=\"62.25\">0<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"166.5\" xml:space=\"preserve\" y=\"95.25\">P<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"16\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"175.5\" xml:space=\"preserve\" y=\"104.25\">max<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_16\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"66.5\" x2=\"146.5\" y1=\"170.25\" y2=\"97.25\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-38 144.5,98.25000000000001) \" x=\"138.5\" xml:space=\"preserve\" y=\"105.25\">&gt;<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_18\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"211.5\" x2=\"279.5\" y1=\"99.25\" y2=\"168.25\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"&rsquo;Times New Roman&rsquo;, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(38 278.5000000000001,166.24999999999994) \" x=\"272.5\" xml:space=\"preserve\" y=\"173.25\">&gt;<\/text> <\/g> <\/svg><\/span><\/p><p>Ta th\u1ea5y h&agrave;m s\u1ed1 \u0111\u1ea1t c\u1ef1c \u0111\u1ea1i t\u1ea1i&nbsp;t = 1 v&agrave;&nbsp;<span class=\"math-tex\">$P^\\prime(t) < 0, \\forall t \\in (1;+\\infty)$<\/span>&nbsp;n&ecirc;n sau&nbsp;1 gi\u1edd&nbsp;th&igrave;&nbsp;vi khu\u1ea9n b\u1eaft \u0111\u1ea7u gi\u1ea3m.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-08-04 01:33:28","option_type":"txt","len":2},{"id":"5479","post_id":"7546","mon_id":"1159285","chapter_id":"1159288","question":"<p>&Ocirc;ng A&nbsp;d\u1ef1 \u0111\u1ecbnh d&ugrave;ng h\u1ebft 6,5 m&sup2;&nbsp;k&iacute;nh \u0111\u1ec3 l&agrave;m m\u1ed9t b\u1ec3 c&aacute; c&oacute;&nbsp;d\u1ea1ng h&igrave;nh h\u1ed9p ch\u1eef nh\u1eadt kh&ocirc;ng n\u1eafp, chi\u1ec1u d&agrave;i g\u1ea5p \u0111&ocirc;i chi\u1ec1u&nbsp;r\u1ed9ng&nbsp;(c&aacute;c m\u1ed1i gh&eacute;p kh&ocirc;ng \u0111&aacute;ng k\u1ec3). B\u1ec3 c&aacute; c&oacute; dung t&iacute;ch l\u1edbn nh\u1ea5t b\u1eb1ng&nbsp;bao nhi&ecirc;u (k\u1ebft qu\u1ea3 l&agrave;m tr&ograve;n \u0111\u1ebfn h&agrave;ng ph\u1ea7n tr\u0103m)?<\/p>","options":["<strong>A.<\/strong> 2,26 m&sup3;","<strong>B.<\/strong> 1,61 m&sup3;","<strong>C.<\/strong> 1,50 m&sup3;","<strong>D.<\/strong> 1,33 m&sup3;"],"correct":"3","level":"2","hint":"<p>S\u1eed d\u1ee5ng GTLN c\u1ee7a h&agrave;m s\u1ed1.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong> 1,50 m&sup3;.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"200\" width=\"250\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"none\" height=\"202\" id=\"canvas_background\" width=\"252\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_10\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>&lt;title&gt;&lt;\/title><rect fill=\"none\" height=\"120\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" width=\"140\" x=\"35.5\" y=\"63.25\"><\/rect> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"89.5\" x2=\"230\" y1=\"21.25\" y2=\"21\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"89.5\" x2=\"230\" y1=\"141.25\" y2=\"141\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"91\" x2=\"91\" y1=\"21\" y2=\"141\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"230\" x2=\"230\" y1=\"21\" y2=\"141\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"91\" x2=\"35\" y1=\"21.25\" y2=\"62.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"91\" x2=\"35\" y1=\"142.25\" y2=\"183.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"231\" x2=\"175\" y1=\"142.25\" y2=\"183.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"229\" x2=\"173\" y1=\"23.25\" y2=\"64.25\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" font-weight=\"bold\" id=\"svg_11\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"142.5\" xml:space=\"preserve\" y=\"15.25\">a<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" font-weight=\"bold\" id=\"svg_12\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"47.5\" xml:space=\"preserve\" y=\"40.25\">b<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" font-weight=\"bold\" id=\"svg_13\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"19.5\" xml:space=\"preserve\" y=\"130.25\">c<\/text> <\/g> <\/svg><\/span><\/p><p>Gi\u1ea3 s\u1eed h&igrave;nh h\u1ed9p ch\u1eef nh\u1eadt c&oacute; k&iacute;ch th\u01b0\u1edbc nh\u01b0 h&igrave;nh v\u1ebd. Ta c&oacute; dung&nbsp;t&iacute;ch c\u1ee7a b\u1ec3 c&aacute;&nbsp;V = abc.<\/p><p>M\u1eb7t kh&aacute;c theo gi\u1ea3&nbsp;thi\u1ebft ta c&oacute;&nbsp;<\/p><p><span class=\"math-tex\">$\\begin{cases}ab+2bc+2ac=6,5\\\\a=2b\\end{cases}$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\begin{cases}2b^2+6bc=6,5\\\\a=2b\\end{cases}$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\begin{cases}c=\\dfrac{6,5-2b^2}{6b}\\\\a=2b\\end{cases}$<\/span>.<\/p><p>Khi \u0111&oacute; V =&nbsp;<span class=\"math-tex\">$2b^2.\\dfrac{6,5-2b^2}{6b}$<\/span>&nbsp;=&nbsp;<span class=\"math-tex\">$\\dfrac{6,5b-2b^3}{3}$<\/span>.<\/p><p>X&eacute;t h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f(b)=\\dfrac{6,5b-2b^3}{3}$<\/span>&nbsp;c&oacute; b\u1ea3ng bi\u1ebfn thi&ecirc;n<\/p><p><span class=\"svgedit\"><svg height=\"170\" width=\"320\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#fff\" height=\"172\" id=\"canvas_background\" width=\"322\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>&lt;title&gt;&lt;\/title><image height=\"168\" id=\"svg_1\" stroke=\"null\" width=\"326\" x=\"-4\" xlink:href=\"data:image\/png;base64,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y=\"2.5\"><\/image> <\/g> <\/svg><\/span><\/p><p>V\u1eady b\u1ec3 c&aacute; c&oacute; dung t&iacute;ch l\u1edbn nh\u1ea5t l&agrave;&nbsp;<span class=\"math-tex\">$f\\bigg(\\dfrac{\\sqrt(39)}{6}\\bigg) \\approx1,50$<\/span>&nbsp;m&sup3;.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-08-04 01:57:43","option_type":"txt","len":1},{"id":"5481","post_id":"7546","mon_id":"1159285","chapter_id":"1159288","question":"<p>M\u1ed9t v\u1eadt chuy\u1ec3n \u0111\u1ed9ng theo quy lu\u1eadt&nbsp;<span class=\"math-tex\">$s=-\\dfrac{1}{3}t^3+6t^2$<\/span>&nbsp;v\u1edbi t (gi&acirc;y)&nbsp;l&agrave; kho\u1ea3ng th\u1eddi gian t&iacute;nh t\u1eeb khi v\u1eadt b\u1eaft \u0111\u1ea7u chuy\u1ec3n \u0111\u1ed9ng v&agrave; s&nbsp;(m&eacute;t) l&agrave;&nbsp;qu&atilde;ng \u0111\u01b0\u1eddng v\u1eadt di chuy\u1ec3n \u0111\u01b0\u1ee3c trong kho\u1ea3ng th\u1eddi gian \u0111&oacute;. H\u1ecfi&nbsp;trong kho\u1ea3ng th\u1eddi gian 9 gi&acirc;y k\u1ec3 t\u1eeb khi b\u1eaft \u0111\u1ea7u chuy\u1ec3n \u0111\u1ed9ng, v\u1eadn&nbsp;t\u1ed1c l\u1edbn nh\u1ea5t c\u1ee7a v\u1eadt \u0111\u1ea1t \u0111\u01b0\u1ee3c b\u1eb1ng bao nhi&ecirc;u?<\/p>","options":["<strong>A.<\/strong> 36 m\/s","<strong>B.<\/strong> 27 m\/s","<strong>C.<\/strong> 144 m\/s","<strong>D.<\/strong> 243 m\/s"],"correct":"1","level":"2","hint":"<p>S\u1eed d\u1ee5ng &yacute; ngh\u0129a c\u01a1 h\u1ecdc c\u1ee7a \u0111\u1ea1o h&agrave;m v(t) = s&#39;(t)&nbsp;v&agrave; GTLN&nbsp;c\u1ee7a h&agrave;m s\u1ed1.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;36&nbsp;m\/s.<\/span><\/p><p>Ta c&oacute; v = s&#39; =&nbsp;&ndash;t&sup2; + 12t ; v&#39; =&nbsp;&ndash;2t + 12 ; v&#39; = 0&nbsp;&hArr; t = 6.<\/p><p>B\u1ea3ng bi\u1ebfn thi&ecirc;n<\/p><p><span class=\"svgedit\"><svg height=\"200\" width=\"320\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"none\" height=\"202\" id=\"canvas_background\" width=\"322\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> &lt;title&gt;&lt;\/title&gt; <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"-0.5\" x2=\"323.5\" y1=\"35.25\" y2=\"35.25\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"-0.5\" x2=\"323.5\" y1=\"70.25\" y2=\"70.25\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"38.5\" x2=\"39\" y1=\"-0.75\" y2=\"200.25\"><\/line> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"10.5\" xml:space=\"preserve\" y=\"22.25\">t<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_5\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"8.5\" xml:space=\"preserve\" y=\"57.25\">v&#39;<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-style=\"italic\" font-weight=\"bold\" id=\"svg_6\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"11.5\" xml:space=\"preserve\" y=\"133.25\">v<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_7\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"50.5\" xml:space=\"preserve\" y=\"22\">0<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_8\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"300.5\" xml:space=\"preserve\" y=\"22\">9<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"174.5\" xml:space=\"preserve\" y=\"22\">6<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_10\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"175\" xml:space=\"preserve\" y=\"56.25\">0<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_11\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"47.5\" xml:space=\"preserve\" y=\"188.25\">0<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_12\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"168.5\" xml:space=\"preserve\" y=\"93.25\">36<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_13\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"294.5\" xml:space=\"preserve\" y=\"130.25\">27<\/text> <line fill=\"none\" id=\"svg_14\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"65.5\" x2=\"157.5\" y1=\"168.25\" y2=\"101.25\"><\/line> <line fill=\"none\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"202.5\" x2=\"287.5\" y1=\"93.25\" y2=\"119.25\"><\/line> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_16\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-32 156.49999999999994,102.25) \" x=\"150.5\" xml:space=\"preserve\" y=\"109.25\">&gt;<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_17\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(12 285.49999999999966,118.25000000000014) \" x=\"279.5\" xml:space=\"preserve\" y=\"125.25\">&gt;<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_18\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"100.5\" xml:space=\"preserve\" y=\"58.25\">+<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-weight=\"bold\" id=\"svg_19\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"237.5\" xml:space=\"preserve\" y=\"47.25\">_<\/text> <\/g> <\/svg><\/span><\/p><p>Nh&igrave;n b\u1ea3ng bi\u1ebfn thi&ecirc;n&nbsp;ta th\u1ea5y v\u1eadn t\u1ed1c \u0111\u1ea1t gi&aacute; tr\u1ecb l\u1edbn nh\u1ea5t khi t = 6.<br \/>Gi&aacute; tr\u1ecb l\u1edbn nh\u1ea5t&nbsp;l&agrave; v(6) = 36 m\/s.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-08-04 02:10:09","option_type":"txt","len":0}]}
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