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HomeLớp 12Toán lớp 12 - Sách Kết nối tri thứcBài 4. Khảo sát sự biến thiên và vẽ đồ thị của hàm số.Bài tập trung bình
{"common":{"save":0,"post_id":"7533","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5439","post_id":"7533","mon_id":"1159285","chapter_id":"1159288","question":"<p>Cho h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f(x)=\\dfrac{ax+b}{cx+d}$<\/span>&nbsp;<span class=\"math-tex\">$(a,b,c,d\\in\\mathbb R,c\\ne0)$<\/span>.&nbsp;Bi\u1ebft r\u1eb1ng \u0111\u1ed3 th\u1ecb&nbsp;h&agrave;m s\u1ed1 \u0111&atilde; cho \u0111i qua \u0111i\u1ec3m (&ndash;1; 7)&nbsp;v&agrave; giao \u0111i\u1ec3m hai ti\u1ec7m c\u1eadn l&agrave; (&ndash;2; 3). Gi&aacute; tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c&nbsp;<span class=\"math-tex\">$\\dfrac{2a+3b+4c+d}{7c}$<\/span>&nbsp;b\u1eb1ng<\/p>","options":["<strong>A.<\/strong> 7","<strong>B.<\/strong> 4","<strong>C.<\/strong> 6","<strong>D.<\/strong> &ndash;5"],"correct":"3","level":"2","hint":"<p>S\u1eed d\u1ee5ng \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn c\u1ee7a h&agrave;m s\u1ed1 ph&acirc;n th\u1ee9c.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;6<\/span><\/p><p>+ Ta c&oacute; \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f(x)=\\dfrac{ax+b}{cx+d}$<\/span>&nbsp;c&oacute; \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn ngang l&agrave;&nbsp;<span class=\"math-tex\">$y=\\dfrac{a}{c}$<\/span>,&nbsp;\u0111\u01b0\u1eddng&nbsp;ti\u1ec7m c\u1eadn \u0111\u1ee9ng l&agrave;&nbsp;<span class=\"math-tex\">$x=\\dfrac{-d}{c}$<\/span>.<\/p><p>&nbsp; &nbsp; Theo b&agrave;i ra, ta c&oacute;:&nbsp;<span class=\"math-tex\">$\\begin{cases}\\dfrac{a}{c}=3\\\\\\dfrac{-d}{c}=-2\\end{cases}$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\begin{cases}a=3c\\\\d=2c\\end{cases}$<\/span>.<\/p><p>+ \u0110i\u1ec3m (&ndash;1; 7)&nbsp;thu\u1ed9c \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f(x)$<\/span>&nbsp;n&ecirc;n&nbsp;<span class=\"math-tex\">$\\dfrac{-a+b}{-c+d}=7$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\dfrac{-3c+b}{-c+2c}=7$<\/span>&nbsp;&hArr; b = 10c.<\/p><p>V\u1eady&nbsp;<span class=\"math-tex\">$\\dfrac{2a+3b+4c+d}{7c}=\\dfrac{2.3c+3.10c+4c+2c}{7c}=6$<\/span>.<\/p>","type":"choose","extra_type":"shape1","user_id":"131","test":"0","date":"2024-07-07 02:59:12","option_type":"txt","len":0},{"id":"5441","post_id":"7533","mon_id":"1159285","chapter_id":"1159288","question":"<p>Cho h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\dfrac{ax+b}{cx+1}\\space(a,b,c\\in \\mathbb R)$<\/span>&nbsp;c&oacute; b\u1ea3ng bi\u1ebfn thi&ecirc;n nh\u01b0 sau.&nbsp;T\u1eadp c&aacute;c gi&aacute; tr\u1ecb c\u1ee7a b l&agrave; t\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr&igrave;nh n&agrave;o d\u01b0\u1edbi \u0111&acirc;y?<\/p><p><span class=\"svgedit\"><svg height=\"107\" width=\"319\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#fff\" height=\"109\" id=\"canvas_background\" width=\"321\" 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=\"107\" id=\"svg_1\" stroke=\"null\" width=\"319.00001\" x=\"-1.5\" 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\" y=\"-0.5\"><\/image> <\/g> <\/svg><\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$b^3-8\\le0$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$-b^2+4&gt;0$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$b^2-3b+2&lt;0$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$b^3-8&lt;0$<\/span>"],"correct":"4","level":"2","hint":"<p>S\u1eed d\u1ee5ng b\u1ea3ng bi\u1ebfn thi&ecirc;n c\u1ee7a h&agrave;m s\u1ed1 ph&acirc;n th\u1ee9c.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$b^3-8&lt;0$<\/span><\/span><\/p><p>\u0110\u1ed3 th\u1ecb h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\dfrac{ax+b}{cx+1}$<\/span>&nbsp;c&oacute; \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn \u0111\u1ee9ng l&agrave; \u0111\u01b0\u1eddng th\u1eb3ng&nbsp;<span class=\"math-tex\">$x=\\dfrac{-1}{c}$<\/span>&nbsp;v&agrave; \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn ngang l&agrave; \u0111\u01b0\u1eddng th\u1eb3ng&nbsp;<span class=\"math-tex\">$y= \\dfrac{a}{c}$<\/span>.<\/p><p>Nh&igrave;n v&agrave;o b\u1ea3ng bi\u1ebfn thi&ecirc;n, ta th\u1ea5y&nbsp;<span class=\"math-tex\">$\\dfrac{-1}{c}=-1$<\/span>&nbsp;&rArr; c = 1 v&agrave;&nbsp;<span class=\"math-tex\">$ \\dfrac{a}{c}=2$<\/span>&nbsp;&rArr; a = 2 (v&igrave; c = 1).<\/p><p>Ta c&oacute;&nbsp;<span class=\"math-tex\">$y^\\prime=\\dfrac{a-bc}{(cx+1)^2}$<\/span>.<\/p><p>V&igrave; h&agrave;m s\u1ed1 \u0111&atilde; cho \u0111\u1ed3ng bi\u1ebfn tr&ecirc;n c&aacute;c kho\u1ea3ng&nbsp;<span class=\"math-tex\">$(-\\infty;-1)$<\/span>&nbsp;v&agrave;&nbsp;<span class=\"math-tex\">$(-1;+\\infty)$<\/span>&nbsp;n&ecirc;n&nbsp;<span class=\"math-tex\">$y^\\prime=\\dfrac{a-bc}{(cx+1)^2}&gt;0$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$a-bc&gt;0$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$2-b&gt;0$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$b^3&lt;8$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$b^3-8&lt;0$<\/span>.<\/p><p>V\u1eady t\u1eadp c&aacute;c gi&aacute; tr\u1ecb b l&agrave; t\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr&igrave;nh&nbsp;<span class=\"math-tex\">$b^3-8&lt;0$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-07-07 03:16:52","option_type":"math","len":0},{"id":"5444","post_id":"7533","mon_id":"1159285","chapter_id":"1159288","question":"<p>Cho h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=f(x)=\\dfrac{ax+b}{cx+d}$<\/span>&nbsp;c&oacute; \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f^\\prime(x)$<\/span>&nbsp;nh\u01b0 trong&nbsp;h&igrave;nh v\u1ebd sau.&nbsp;Bi\u1ebft r\u1eb1ng \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1 <span class=\"math-tex\">$f(x)$<\/span>&nbsp;\u0111i qua \u0111i\u1ec3m A(0; 2). Gi&aacute; tr\u1ecb <span class=\"math-tex\">$f(3)$<\/span>&nbsp;b\u1eb1ng:<\/p><p><span class=\"svgedit\"><svg height=\"175\" width=\"230\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#fff\" height=\"177\" id=\"canvas_background\" width=\"232\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_7\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>&lt;title&gt;&lt;\/title><g id=\"svg_16\"> <image height=\"174.99999\" id=\"svg_1\" width=\"230\" x=\"1\" 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YgXMST8O4mVQ1fe+97\/im5jctm0Htm79DDrDZ3VFRJKWdpqyilgYqomwntXLCWAouRxb5uXss3\/LCogggsiCmELzwiEmi4V0aenflZb+VRjeQVDKoWS1+Sz0n1Gow+YsZx7dUD5bds1N959F0YNEWGiSgzI6vb1fYkzMGNe6MPw5MxME1xO36x6WKmRyZHZOnGQj1vAwIUVYc+a8RgARBBvwSt9f873v\/R9x3FpXt4fl4RlnvMxVU7e60EzWAE4jVdzCaPFDcw9rA\/4Jqdu5I\/iMosdKSv7U885lAYivkq+jMFQcP19SMhPOgubkz6qwIIRRMEBLMTIUtgwEIWEirBstYSEqKJ0tW\/5l6tRXguCn6MD13d2HVFxqKDClBTcnTiZQ5FYYjGzGENZ1vn9hEJSzuCktnReGd5tfun6J4XGx5IooW0UoSylsj0TxLwkBQzU3qtYTRtXUDJLDlEFJy5a9FYY1JSX\/nikjQGWOpA8g+Ch69LTTfBZELCczuQUFzrHOtzUXSIfQiYGTjqLHDWE1QljSB2IrEiZQb4CwFizYSeAJYXFIRqPaSOjXCVPOweH4wHJkPKCi4n1iBYIsHDAMb4a5iLPMo90P44kKHbgoYqtaGSiop+CkICwGHMdbg+BKAgqWhDgemUwBhMWyqKTkT4LgmubmT8mRS8NW5eXvhWHtaaf9TzjtwoVvqJ7CAqOGVnTWRVuWwjhq\/kuIfTzQ2PgJairC2Ftbh7EY4vMo2hTHT82c+SrDX7y4RzYkQZOt6lRBB4djwxoPRsi2s\/MLOGvWrC6sCzfkAqk0mRzCDSkiW5Vx6mJJYlI81sBozU33a5J\/zWH8q1btNhHWvwuCjR0dB8TieOa2bQdYB\/n+upKS\/0Cc1dAwpFlWhfkPDZkEWwgL\/mVr83Xio+gX5sHRLYxO9gGwFazHHLreLAahrV9AbXH8AocoTlm2BTQVDvkAazmYn65zCAkid4xT\/ogRYqWoIXI36UtIq6pJcQ+LxYu56X496+TVq\/sUW5LP8pA1c0nJn7OQhtrJJ5N4hEUQzux5S4Ogqqzsnb6+rwg9rK\/mv9BVzr1Os3aVIId8HYqiR8KwmoXhpk17sRUp1NXtgaBLSv6CZXJJyX8sLV0AZROun332b3Ubi5lUcVmPSjlxcmzBAnErzMZapowHqmJX10t2yScHX8MTbUEUyBHNoVb8hMWYYRzzX8LKKGpkvWMniKhq7tzXff9i37+CFfWSJbvWr+9fvrzX\/FP6OlaLhKlEFnaWk9Xms9BVxki3ZRkarDIZiM59FDWH4U0sCSEsNMlha36m2ep5P\/K8H5rtubB2GN5MWErgSVnMjko0FWqChBMnxxbsBMuRQWI25JDADrVFrImiA1thaTIt6ZPDrix58hDW02YFNPLgqGaHLXPR1va5uf18te9fEIa3R9GDYVjveT+JovtYHFleV5ECEo1OpgB04mU0HGXXjPq6MLyVJaGKYCXNzZ8avn6W6WIRLVm06M2enkPMIQqqCmVqFoWprBMnxxCsThGW0myxRkXrGJJy2CLWXJOul8SkuIfF7MTxkyaMul+EJTAvRJvkLFz4xsyZry5e3LN06S78kzQxBQtDZg12p3imQEFBFsDwGabSCONtato3e3aX768zz\/GfAzc1Nn6CPmpwUEvLcH39x7W1exACLtJwOobFJKAgNaaFXZvj4HBsiI8sNyFc\/zZv3ou7seIhxt+27QA51tFkY6hpF7CLkDjNmnJxi3msYZ3eOGp5na1cUQniCBaJzJ0NX8nHw9mVfqFIclzsKk2CEbW2DrPOZZVXWvp3JSV\/WlLyF0Fw7Zln\/ka3qNCEoClFWqJSmgopqEJF6U6cZC+yQ2iILdHAypW7o+hhvVhm7tzX16x5V1dHTJHgSwYmdoOnZHsjhAWxFbf0939tbrq3BkF5GN5DGMVkaY3D1JDWTT62aJLT2fkFtEUR5kjeC2FJv1Ckq+vg1q2fES7Rc4QEo9NwuKax5i0t\/ZvS0v9mtv+1tPT\/DsOaJUt2MWqUMQv0mQqEetiSSUEyoXJ0mBB2yR\/VqBMn3yUyJ9EQ9oMtEb9PmfKy71\/u+2uD4EokDG81v0c\/hynCXHgihofRQlvwlGWu08z7aIpenjW\/+i03Qda9cfxMHL8Yxy+YN4e1nX76NuYujl+K4+dNJoeeZZd8s0s+QgIZVW3eCuN6moGYITCc50mYt6M9F4Z1vn9+ScmflZYuLC39e0Nb8zxvBebCVKBjpqLtyDwwURq+ZoYtNZNvpYDmxMnEyvNHrAsrYrclDG\/zvH\/0vO+bN4Kc4\/sX+P4VQVBp3vL0S3xwxowdq1f3sXKE7KC5DGH5\/nnjFc\/7yaicfBbP+2fP+6fS0r8qKfkPrIA874dmasrwW99f5furTeJ8BmUYjZw15rlbcijIVC73vJVGn0OjK89X0bg0ipUMRMP0vKWlpX9dUjKXrfmbJIT1t6Wlf1lS8p\/MzHBaKcKMLTNFVpmBM1fk\/JOZJWbmYjMhPz7SRAHNyeQSY8\/54qfGlbCZi2WE6hueWFLy51wyPe8HGJjZQl7\/jxF0ztWHROfP39naOswS4Rtzw\/S0MGwYI3cnRLv3RFEjW7NbH4Z3huFdZlciNXI4hJBQPTZ9XE0SSVHmUQ+dmNTjWix\/cDbzj1\/GosrvNmnbmTqztf0kk5HeYRLk2NryX0aGdkSUZlCM4iZIh8ua4SyoapHhrzkkyCfIQi2K7jOamh87cGam4YgNMCFMixSSjTqxosmxMvZQ8uyMkmMcSkqyTgR966SkyeEcIZxB0uirQtLkSJSpo5SyR0lIrI7N+S6h4LGFqu444ne3mZzaILjKGOHfG6r64ZFoi1CrLAg2oB\/HT8yd+3pd3R4Wld9GWLNmjTwUn5TZs7vmzHkN0fPyCGlKIuScffZvp0\/fPnPmqzZTmuRwCCGhSpQeVRs5VlOV20wrKi4ZdejEhArDsJq5gLPj+Ek6Y\/tG\/xkOwWdSv2jETi9bxsjizrxGdZ0hrAVG\/rK09D9jIlH0AEs81ObN69aZUkEnJyBJ205Oo3bt9B5bkvpJSSoka076IznWqpM1sCvXs\/lKUIqtDqkJEnJz7R5bUDuuUKE01SsWhlAhLmliK60ALjE3s1gS3sWCkdbLyt5patrX2\/ulZasRwuo2nx4YJSghJDo7v0B27PhdV9fBnp6RfLaI1VSmzbeS1KT4tm0jv74hpFXq2KI6x1Z7AkJzbW2fw9bmu4T3rly5O9mBVJrIN9Gcs0WY85aW4Y6OA+RzEs0\/b+4160GtBP\/M837EBZZpaW\/fjwL6W7d+RvFkhU6yF6aO2T62nXMUYbZ1jpRJghwdkt9JwfqCxFZiBTUJ6aPqfFdZcmwT6onSdABjYCHGQFRt6lJV9WE88u+3tYanNobh7XH83MKFbyxf3ltR8X5j4yc0TWC1L\/FbYSbCsjtJYbmohH6PRLSAtEjqKD1WVIotBGmFHBXRUbubqfcUgCZYAJsHRzcSX5SXv0fTyh87ruKAplcTy5wPJd4wiyHOn7+TxYLnrTAv5\/tBGP6cKx48pdlAU88uSN9hvNAcav4zWWPAUemgrNMkYRchX6KjKiIFpQXlICqVVAY6pITqlMKoTOUj9MfKwMDIZ5lhTP1WrlLHFtPmd4JWLPUoh\/rXru2PosfiuHXKlJHHGmpr94jo4SlZrDosfYvTbC\/Ve4l+TTxqgVFAYdRoreixCxKj6lERe\/TYDZF\/kkLlTFYcP2Uea7iDOJMWqZmm1QF0Umkor8SOaGQSE6MjDX1v2rQ3DGt8\/\/wg2ABbEVJJbRRsKSfjksz0HcHYfGxSMlb5u4DmKH1byVHrsflYO76mZ1Os05HQczzkIxCTjX0IqQjJiXEaGoa4vKFjW\/kuoZVjC81RLR2QMt1TJis+8pM1qPPHwGlw25Ilu1at2k3oQZwGz2HNrKGgOoJDRkW9SVpRpbajpJU5SqRgi5CgBonykxUipjMjGKWfPHRioAbqMf8lvCYMGxim6lQ3EKkVGRgjhqjTZ8eLxYimscIouj8Irg7DOiJw1DiKJoc0IWyZNFOTw\/jAbGv2NNUiiFGWTFqitPTHCvkSq69dDlGnzURstRyiRU6lpSECJRZ3OHVNzSDnevXqvqVLd82b182FynwT8AXzFMuT0ci33R6ORj5tt8n8xnILEkX3nn32b5MNHVXU+jFAn+mSOk\/PEaXpofJle5oodlUtCTsJtpWRXwnNK0S2mO\/x\/VrPKM2YsQMiW7TozRUr3iZy27BhoLr6o\/r6j2FEBg\/vsoKAGgnekoyWbEzt2ZZIcHRUh5Ki3gDSVhlJ6pywUBsr5CD4aRjewzkjRw1JbLtFIxoOp0YGoRxmFSPGLJgNxHyEYuQHU84pChzVFVhzLh0STk5AmDqmUWxl\/ZB8Y2gjp0YJgV0Z\/FghX6JqpUmFIiMEB2RtpduOnEc8lJgDC8dnWUksW\/YWy\/\/Zs7vOOmu7eZgO134CT+daZX77g5VqsQHzXtkrdTvJPLlykXkQ4VzfX8WihKWJbf1kRCNlUJgZQ2Ag5GhobEcRliQ5D7aS08z9+QvMAzhlpq8XG6Hrl9Fd89LlGwzd3gX7GlJ7furUVxYs2MmMbNz4webNe+EviJyLNh6i3qgZppV+kFBj6pltWN21kswH2kU4pNpOWJgFOma+S0iEdc\/69f1k0oTatc0lixS6aFwaYHJWtcuEmAjrl+Z9O3Vce3VUk8BREpJknU6yFE2+nUMryUm2uxZWLSmZY0dADpVjzMQKrIFYshFJrFy5G0qK4w7zjSwFRzVBUGXemH61ISAJTo2D4+x6KmrlkQf0Rh5CPPLAFAp4fQWeYv4YX4PLE4vJkI4tyRkYKyjQf7ZiW+0yHF0g2bVDRsxYRzA2BxBh3QnRhmG1GeG1hm4rfH+9kcuMrDOy3vzoyFH4qzoMb8f5o+iBaOTbrU8Rv0yZ8jJxGYxOUAYpwPRMKIthlpZ0kU6rbTonUVqZSbEKdqgnKVTCtejITfeRF\/iRw8jVnGYh2W7RiB0daQwF41AmW64rJsLiVN7FJUdqQEfZSkg7Ga8wb3YmrQ0rEyQzk\/mAXbyX08TZ6e39kjhgy5Z\/qa3do1ceESLMmqVYiUXc04QOUdRkHpq7KwxvNc57jf7pYqKNS01CcrnhIDy3EiIzzou\/32GWVvdG0UNR9IgR1lgt+oMEgjuzGCRG43pGJ48rGs53iVVj4PaKSL6iKhKaAWVaUeYonAZDwzJmIjrieKsJGn\/JSMxE\/DwMb8LPzUQoUPyxeXRiuXkYGiE9Ejqao8wLrFwLKeAMLIwZMKtlLgLNzZ9yTdAdPq4PSDL4ynQkcY4ZAyORJBVODNRpCEvvw3qQ\/tBE5liRgiEzdWyZPYT51PIhOZ\/mw85VrA7wCnaT86xSyRyH8UKnAOqxaw5NqSycHITzIiGNR3CCuLoTOnGZr67+aMmSXXgQdhuNfCnyDhM0ETERQBAHyRNxQD1yKU8kR\/9VWGvWRqwnbmLpxyk2ZPQka6Np0zrnzHkNGoIEa2oGISPWkqwokc7OL1gn4Zv0hz6TYEtvM+M5OWjgSYtil4bYSnSIrWbDzpiUkziNjsLlzBFX2sbGT1gGMxLWeloJQ2eLF\/cwyCP350TtjxlqJ8gi+Lw+CK4yIZgiT9idNORFOEZgyaKjJhz5c9AvzE+YbUzZokVvMl80RNPJ00lv2ErsSNTLkwG10Yq5h3UDIaG+\/Kz8pEi5OMBwGKNOvMyCGVbCHoK7zYRs4dTLRsnUzKiGIpuTHEPzzLSz1bQr32ZywSaMam0drqz8AG4y\/vVrc4OJWKHeBE0\/I1Y4cneJgEB3bAidtNbZYDxr5PFxEyU9ruCIevBWXAxWKit7B2unfjya5Q4OTuige9C4nh654koGV3L26Y88UT3EJBSSq9snCYZP5XYStCtC1ERZ29Ou8iWk6QxCr1D49n1YViOzf4QFqZfgiBAJMmbMxKjQGaHTzJmvmv\/TMstEZPAXS0tmmesAs8ylgKCMZTNTLIHImGhYn4UxgSjz+ywhLrHumjXvsn4U2SsQGxt8nQyohwppDvbkamMJa9S8SLmYgBEwcM6gRmeHyajJZypMyPmYvr6B1cpo0LEzY6pxOHFozjkFBCwQBNETHgR9YISrV\/ctXPjG1Kmv6HsfYXgLqzZzHwZn0T1l3Ad6ukz0ZNbvt5hrvyKmJ\/A+uIl4AmLCg6gZJqIVOIhTaT1IfUiKzi8ieiIn2VslyLckcvKgQiZBbUnYxQiVphtHdXl21UmU6QxbMr99cJRjElssmWmLwV\/MvpYYxJAEsR0dB5gp6AbSEZeZUJZwrIXLOETGXJtQ9nzz1l39dfY8c1bsw\/ichsc4AVwW9PwYTdCiunGSYBT02dzD4qJ0T3n5ewyH\/ORIixJMoDUCeyrt7pEIq5mwmtNKjnQ4y0xXWpM\/yaEpxVOamvatWrXb0NMT0JOJnnSnuMz8DZjVnP5PDkmN3HIyr9sndBp5aQGRAdd17BbXgJXsA+gIIZLutHDK5NKcuFGGza4swRqDoL7ZHO3qvCudImEBWz+dJK1d8tkVc3FobHPStELO0Z90lzYYtSvYTCWsMEKmj\/Xwli3\/Ule3h0UlJ4nLiLlB9ry5krAav8f8mFp5JAoj3GUhyWVEIe5d5kY+8deLc+e+zqWDlSNUyInRONUBC5tj+2BF+Zp3cw+rzbwi+T7dw5JPSi2pX0xg7HZcGmNymJwLQ1gP4wMyU2BNaqzpFBmYCsaYHKZ2NUX2qN3FiuwsHRXoaOq41nIVh6GgGIx\/2rROswp5xPzv92bzu9ZVidvhV5vQqdbQE3HTU1zpuXKz+ODCz+KDcIwQmAphPUXBtKJu2+4dG3YsY\/XH7qpmpWlolMJJQvWP6oYmjQSZ2TR3al+RrC6qT3AEERlrac4EfGQ+ggB5VQcjn37VdUaXmnMIxAiGzWc+R\/6Ry4KciJdVN2yoK4nOmR2\/mpAozVYdIK3bmWZJ+DO9053O0BNNk3Ss\/uSBeaxhZEJ00x3Y+VQ6G+spXDBMDADRMNla+9E8kNZRHYKGCARUNgkp66KoR6JYZ0A0M2bsYNEQhrf6\/jpj2Fj1t79QmZ\/tbjQLi0dPP30bHkH0xDKFStSBTO0OY5ALwuLE6\/RzXpMhGNzBqWURbkKwZ80JvvvI+rHMLOOhLSKvm1hXco2K42e48qxd28\/lS4xD\/VAYdVo7I5MtQovkIGraRFhXc5Uj7uMoPVERdVKJSYXJRlgMR7Zhd0eNUbsoYDCaB3ZJS2xZe4g0+RAZREPYPmfOa9iYiaTuNCu+n\/r+FeYmFAuIK8yvT3eYGKqNheG8ed3Llr2F8VdXf8T84xE2gKIhXZJNpxxGI0cRlj3NOtP2EKeHCxercTgIKuFEsng0K8c6c9ZZNrLO56zrx5HrzFkfuSgtWbJL0bL+RaRzTG0yLNWs5rRrHmuo4JpGoJ7sAKLdyYbJTFganURDRmyO1EigSVqmJU0SiNYKra3DWOCKFW8TTMVxq7nWXv9vr7U2jOJa++zs2V0wlH0PgUI21Ww6OAKasC1mshz+LXL31RxOjM63PUOcME4bZ4hMThJ2QEjc2\/slqz\/iapiFqxZ+FYa3m+vVhebZXN2wvywMb4bXWDBiBFygCLIQrlGqXOalFmmFmuO4w9yyaYQWbQd01O5OKkzCJaEdkYaJiB0kskxEhCVNzAPRLjqYK2rYJ8bJVdP8pnSTuRV7EWs93dYIRl5PXgdJobBy5W4FUHqAADukNuqhQrVlu2TxXfkOwikkLJ2VzM4Rf+B8IyQQGYo9eTIUpTm13d2HONnw0fz5O83zE0\/gXWH4c\/PkV7m5YXllEFzLlY1DepkOy0zMAtrCLGR\/VEi15Jh7WJVRtGnjxg+Uj6gz7Ga6OJkwOe9hMSjOuLU0awOIzcFaMD8sU8oSe\/vV\/NL3pHko5EZjhyOPlZsbF7XmlusTU6a8jCmWlb2DPlQlaxRPaUqT1UrUtI46HBunirB0VsaeA86NvayRzuSafKwkWYQ0muzqEMvG+vqPFy\/uieM2wuwguMr8JeqH3sg7VVf5\/hqip+nTt8NZeCDXQAxFtVGcC6N5rGEj\/llZOUJY6gAKamsSYnISFmec826DpiQ0ZBQI1bVkkwVie7AV17kzz\/wNlGTiKb3nXnfQ15lfh345c+areplv0qiokOaoiusoWzu31gUk7FKKo0U55+niFEZYsoCk2Ew5hnIEdu2ZkwJpRPpkym7a2\/ezWly\/vt\/c7Rp51MssGLnQnW+ejdhorOdBmKupaR+0JSuheBw\/ZT6k2ojlqTld9EirUdOLSYRJG2FpjMnRsStjwyQwM6VJsI5rbPzE\/Kj9bBg2mP+oEU\/BVutZCUbRQ3HcQfivv21s3foZ9gkxUYls2FbOrsRm2m6MFR1Kds8hiVN+Dyt5bkhL7G5GyajppCqfbXLX5rBFIBqMo7n50w0bBuCmKNpiHrK\/zvyE\/CNzh6v+9NO3zZrVVV7+HmoVFe\/Da+YLFNcQsZMj66Qe6iTNNtOPSYPJSVhA40palGxAJkFgjlVwqauu\/ggyMn\/l2xQEleYPZyz9rjJLP6jq+RUr3uaimPyFmnqguVGERUKCwiixh0aJDqm4wyjkiLCsTSiBTei8ZpS+A5RFk+J2VyeSrYxjm\/nfZlvb51CSYa5fmGeFzzMBF+ZVTgw\/deorYXhLaek\/lJT8u9LSecHIdyheJHRXZ6jE1j+pMGkJS2CYmBYBuEIqjRchjW0sWbIrih4xkTtLv3M8bwUrQYIsroK1tXuwt66ug5TVNQ+h1HfNm6YUS5MmRSQqRT5HRxVxOAZytCTUabPCedKpyqge8Rbl27OIcF6tmnQ4zbIPRNdDhIBr8+a9K1fuNi8GIuBinXiNefvPyH8dCLtKS\/+2pOQvzNf3fsDRhoYhRe8UpDg1q4nJg0lIWAzNDoo0VmRZA4GAIKO5c1+PRz43W2\/+OlNmQqoaZolV4aJFb2I2rBMxG\/Q1RdSj4ogs01ao5qxaUtMqWB31yuG4OIWENfZkfNeJIR9lGZCuP6RVnBwS0kHIV9RNQmWTQBP9xsZPWAwSW3GFLC39+5KSmfCU+fzZP5ovs\/8lLIbx6Q4X28kZZE02wmI44gjt2jRbDEA\/6cTxC+bZ9PWe+QQpwThxFrZUV7cHBaxOFkjZUZNDJeSjYH9hRJLNOaSFUxthaYtw5jh\/OoX2ZJO2Z9SqSbRrcyhoKUw5SqssUFpHWSQSbXG1XLp0F5dH81n2\/2y+yb5In7ci4IrjlpqaQUX1o6qaJJjMEZYdKQkWgJWVH7DWM7fVf2puq19kHtl7ZN687qqqD1kAoiMCsgaM2F1VaOuUKAcxLWcU7O4oHPuoQxKn\/B4W4ExwCpPnW\/k6tUofFdJEB7ayoRZQVckTrCakAA1xoSOHRBw\/5XlLSkv\/ynw0FMJaZL4h+t\/DsBpz7Og4QBFbT7LCJFR5ZqdYUGSEpc4fu88alARzYnHH2M2PgFvD8BZz9+Ay81fkujhuW7Vq5PuVyesZCWt1bK09m7qPAzWqsmNx7KMOSeSCsE4SMhRrN2zhIyxJaaMyApEaCTSlDGFNm9bp++tKS\/+6tPRvSkv\/wdzJ+k\/mW8cXxPETGzd+YNeD6I8iQQsUqPmohwoXRUZYnDsFQcfuth3XwMBhQuw4fsmsAS8x\/6A4PwzvOvvs31ZUvM+VTFSVpCTtFta0FB8KgLBkZElDgZsQrEcik1KahFVGx3ys8X7P+0Fp6bySkj83N7P+CwtD84jDhihqmjv39U2b9up5P+pRWQqqBrYYLsJR5RQNioywxCb2DNrzxZazqUFpl0sUq7zFi3ui6HE9r2D+THNrFD02Z85rul2lKx+gHkRpKrGG4TBRyHfCwj6siSiN3SBETxhWv3nhDGaU1OSotdf29v1YYRBcxZLQ3H2fa56M1z+\/SFxM\/D9jxo7a2j0sEFRKldu0\/qI40nxxofiWhOowW84djMNASLPV9YZDpDmVLS3Dixa9yWXM96\/gukV4FYb106dv37x5744dv+N024GTwLQsSVHcEdaEozAIC1uRFUIlMItulGJkZWXvQEkyR2mSwKqwUa31SGzd+hlhVBDcaKzzUlaC8+Z1n3HGy2FYa\/5bv8Z8i+HxZcve6u4eeWUNopsXqpPKEaoa6U0Rofhuuqv\/GElybahMbVkGrlnzbhw\/aV6rMPLlgTC8OY5\/tXDhG0wCR1XQ1oYlkGNJiq0SDhOIvCYs7ENkgZDAeoiqiIbWr++P49YguC6On6qq+pCjKEuHBFvYCvsjQQ2U6ug4QMDPFZXIX8TEosC8Yu1+FobmVyGWhw8tWbKLyy8F9ayNKpSZqoliQvFFWLIQTpwohl171sjkwrZy5W6zDLzefI8Ptrpr2rRObIlDKCTPNcIu9aiSwpqK4ka+E5Ysye4SLs2a1RXHLb6\/uqTkT4Lg2sWLe3RUxiqbw9S0rMPayCciM29ruCGK7lu1ajeURD6kBvfF8TPEWSb4Oi8M7yAW6+z8gqPUQG0K01R\/kaH4brpzvljxyVroPAbA6dNRzql5xqXenGvY6oIoeoBLF\/qYh7UTMZQMiW3BTcJkQAFEWJgOhiUC6u\/\/uqFhiEslS7ySkv+L1RxhkXwMa0OTNKXYsqsEpbA\/87aGijC8m0UBh1Q\/kVR19Ufmp6LbWS0icNbUqa8QZ9GcOIviRWm1xXfTnfOlk46QwBg4dyQYoImmG\/XBvjCsZVW4fHkvUTaa6CCyEw2fIkpnqjYouAkpVuT7PSzAdZIQiXUcJsgudkNOFD1aWvpXGB9XTiyMfIxMNpo0LNKyQvO2hsv0imRlslUC2poz57UwvM38CfGCMKxmt6lpny7Xst1kncWB4lsS2p5zyhQaYw8dHQdmznw1DO80LwIliK6dMuVlLkicXBVRMEXCjjeZFqQ5Nt8h9yiAm+7YH5SEkEZIGMJ6pKTkz4KgcsGCnRicDmFSowgLkIm+ead7ZRQ9Xle3Bx1WhaqQo7Ah9GR+577f\/PHwJ+YP0r+uqvrQVivlTI1FgaK86c4WY+B0I5yyzZv3Qk8E4+bF6pdG0SZCLQwAtmKY4jUZjBVVlQSZUmZ7VAWHXCLfCStpJbIbBFvE30pK5gTBT+fN62ZXCrItFUnKEcK6Poqaa2oG0Vf0ZI+yAOzs\/ML8R\/8X5q9kP8KZ4\/hZPaI1NnArAhTfPSyZgU4uZw22mjatMwxrzBusLg\/De7i2kdnf\/7WKMFLCK41Xu3bIGr5y2FoprDkpShTAPSxrJdii5aY4bikt\/csg2ABhKcdCtiuRkZEwS8KRH4bWrHlXEZmUSVghf8OGAXNH\/3zPO5fK4\/i5+vqPcQApFxOKjLC45NhHqLgCtbfvN2xV7Xk\/8P1VxM5lZe\/AYjIJFQHJMcpUJKSxIuwhqa9DSjtMFApgSWitBNOR9WBGxEqGsK5ftOhNFJK2xa40sTm27BrCetr8+f6+tWv7ua6a+jI\/Lal+tuzu2PE786jOr8zjDhdTfxy\/yCIiyXHFgSIjLE6xzhEnlBHNmtVlfkhZj0TRI8TORNDoaFyyiuQAtWtzSKAji7KZpLEQu+swISiAm+5C0m4IefC30tL\/EgRVEBaGRQ72KoaSGiAtg+OQeazhuih6sLz8PXaloILSYasauFY3NAxF0cPmJ\/AfYffTp2\/fuvUzrtu2DyRsukBRcIR1jC4pny0ntK3tc5Z+5jfBkS+KR9EmzjixlTQBA5SdJGsbWzM5o+iJIqK8zL7DRCBfCAs7kLeMMgh2dUi3GxCIA\/uLosdLS\/8+CDbOmLHDhvpYGEdJJMuSaQjrGfMRivtZ9ElB1coopcOu0iwuVq3aHUWPYvG+vzYMb43jl1pahsV06NAcovRISwWIgiMsJtyeo0yWAbucMvI5SoA8c+Q3wQbfvzAIroqih1au3N3VdVAnyyLL0Y1tKJtSDqcUE0lYoyxAuzbH7iIyR1FJU9O+jRs\/wNM87wfmNtPT1dUf6aEH1MRrKiIRGZmb7j\/VZ76S9SuBDjZtdxE9amje5321eUT+lvnzd7a3s+oYOYo+grJNFBwKiLA04ZxEnWLOFLvqnt1FsIGysnfMixuvhLC4OC1c+AYUJpNQVQ6FjokkLMzIWt4okKmjmX0DdlmaEfATLpn7qT82f6nZNGXKy1VVH\/b2fpnRMzVjpkRboqHjEpYSozKx9RUr3o6iJvOsw49wgDVr3h1l+qwoaYVEspKCQAERFl1inq0xsGbXQp40Z1n\/W+AUNzZ+EsdbzQXm4jCs4XoDhaksR1XWodCRdxFWZiexi6Xq6koC68TBIB0unmec8fLcua8T89fW7tGFFH0MVAVR1rVX1pwNYamsOTgCKiSkmjevOwzv8f0LgqA8jn9FW7J+NKlfvWKXsogpVxgoLMLiXGieAWmmXb0loXuLDQ1Dcfyi+VfzetjqrLO2Nzd\/qjPFaSqsU+NwDOTRPSwrmawjwOwUyFhfIgcrJE2OKMkojhxi19agowj6xyUsBDVbFQmEzJaWYZgxCG7wvJVsSev3Jo4mL\/vSV7ogUFhLQks6pO0ZZ0s+\/NXX95W5dVVrztE1cdxKJK4oLA+H43AymHjCwpJkWEmx5iUDxS7ZyuxIE2fpuio7Vj4JmTJpW1b5WRJW8jJO\/VrrsWWtMXXqK+ajT5fgFcuWvQVnocnaxOrb2goFhXXTXaeVLedIaSv9\/V8TZZs\/Nl9gPgD+2Pr1\/Zw1CIsTpAUjgqmgnKnOoWAxwUtCGZNE9jc2x4qKYHn2roRYLFmVdpVjJUvCEv3pKI6BKB+7r6\/\/OIqazP2Ry6Noi357wivUqLxIBQsFhRhhIZxKXZYQnRoW6ZwRczm5KAzvXrJkF6eGUpwU7MTGWY6wigMTfNMdM7KkkwSHyB97iF1ZamY\/ATJtvlWTZENYJEbVTFq+QQJuWrPm3Si6z\/cvJM6K4yfwEw6hhmOM\/eE8\/1G4N91JMNsiIJZ+Z5213TxydV4Q3Ejwu2PH79RzO5ZRaYeCxgRHWBifYhkEWkHsLhaJkWmLJocU5OuaST4kQj5pHaKItWnAIQmZxyUsKkFNu8qxCcrSFkdZBprnp+vMv3aqzjjjZTqjggq1VKRQUHARlk4Eu0w4CaS7+5B5zcbPzfcjborjl\/R8L0OQMdgh5NVwHE4GE0lYPT2H8BZWWzU1g9XVH7FVAqmr27N589729v26tGKCGCKBDBZJkba2z5ubP21oGEKBdEvLcGvrMOaLmVItpmkdjy2WTf6xCUs61qbtIUA+rqI0TeMV+qB0FDU2Nn7S3\/81TST1CwWFdQ8LcCJ0jrAHhDR2Yv6QQMx7aRy3Yg\/ko8lWZmNHkYfDcTgxTCRhLVz4Bg4ThndxkQzDWxJyaxjeyfoLliHCl+WxhZhWrHj79NO3xfFzcfxUHLeYxPOQyPz5Ozdt2kvIQ7WwD+ymQIxdtseNsJKEpbaUBqRVD6BaKNX87eNy8wqaZ2BbCnLIunqhoBAJS9GTThBXrzh+wXz2ZjWndeXKkRfJcqKlwJY0olOZh8NxODFMJGGZvxm3xfGvoujRKNpitsgvTfrxON569tm\/7e390prgtm0HNmwYYBUwffr2M8\/8DYLCzJmvzp37elnZOwRf4g4RFmmKyHBJH5uwMGtK2YaUGKWmNFEhPGve9ncpDq9XKlM2yXEFgcJaEuoEcR51WrGKior3w\/AOc+UY+XsWFzPy0bHdJi2hrAblUASYSMLCkoiDMD6EtZXMkShJOSTgGnkOBocyu1xFiblY\/XGUHEohpBFM01aLKK0i8NexCUuigkf1WKugi3YcPw1hed5SffKeJmyLhYICIiy6hGEww5xi\/W\/UrM1fNN9qXhdFjyi4HnsKdMpUNpPlUOCY+JvuUACCFcpbbA4J6zwkdKnE+GAorBYOIl+RFIdIWKOEBNlVmnqyJCybUHoUyLTdozYWIFH0gOetwOfxHDiUTI6qrHqrEam4yh615olCHhKWGh3bLjlMu7YQE5cr8\/eDat+\/MAxvX7BgJznM9tiCgMx8m3mHk8FEElaWwOCwVKiHBHYJW7Eu6+o6yAqRre5c6KjsEpuGs0iwSz5pSC0bwjo21A06QIXt7ftnz+5iPWKe\/bmzsvIDQkI5FaLeJi\/sKphNKzlDfhKWPYlJ2M5wlIk199qbfX+V+bPU1tbWkbdo5L63DhOCAiAszJH4hS32Clls3foZNrp6dd\/Uqa+sWPF2Q8MQtAUjyNkQqEFMwVZC2ZMnLAAHaelBf8zd9y0sDH3\/MhaGzc2fqh61qG6wtU2ob6onH1BY97A0maTZxvFLQVDpeT8hyF21are1DSk7FDcKgLDEOGwx3JaW4bPO2j5lystx3BHHT0fRQ3H8qzlzXiPmEk9ZmkC0WiSRLmGhTBN6\/4x5ZfiaILhuyZJd9IFDahRl242kqJ58QF4R1rHb4qguA0TT9DYM7zIf7Lp65sxX7ae61G2HokcBEFYSBFZBcIN5N9u9cBbrAs\/7cRje0tj4CcEXhqt7SWhix5AL9EEiLcKCiVQhQp0sTuP4Sd+\/wvOW22ffaZRDmQKmcjKzrD+XyB\/CyrItJp\/LFSRlotoL6PnmzXs545nDDpMDeU1Y2LGNrXAkEgsW7PT9izDZKHrYvBR0k+ed43k\/WLy4h4WhdGT9bCGvFCMsdOTPJGiFOhHTh\/s9b2UY3jR9+nbdL7NBVrIUopw8QT5HWMlJs4e4PCxf3muea7+Q2eaMK6zmLOSyqw4Ti7wmLOxVdyggCNJYJysv1gJ4Why\/wPU2jl+CsEpK\/uzMM3\/T3r6fItiuFfRVMBXCkvMg6gk1k7lt24GpU1\/x\/XXmPQGP0CU6DGHBXLZO9NUN7eYJ8vkelrqhSUPUsebmTxVT+\/4lUfSoffyN2eZopqRDsSPfl4TYor2KIm1tny9a9CZSX\/\/xjh2\/i+Nfe965paWLZs\/ugjtsEVm5DJ3i2HSKhEWFSpMJMbFKNe82KQvD6rlzX+\/t\/RLOGhgYudWlgsARVvaw3UDUBxLMs3n7KwH10jCsmTWri7OgTnJUZ0TFHYobBXAPC7aCcfB5EhABl1a4iXiqsvKDMLzV3H+9saLifZhC9o0mYm1dxVNcEop9VIR0U9M+87vVVUFQHkVNBAIKsqw+akoonSfIQ8JSo0lRPmewo+OA+YxIpe+fF8dPVld\/pGuYSjnCmjwoDMLiAquwhQQ52Ghr68iLQM2jmzfq0UEUMFyOirBM0RGmIDMVwgKoyTHYqgly+vu\/rqkZNH\/WuTAIroQ61UlA03ReaYpYH8sH5Cdh0frYdgcHD5sZriOMDYLrVq3a3df3FdNuTwGJ3PfWYUJQADfdcXsEPiKNwD5dXQfnzeuOonvxujh+Qa8AxaxFWNK3NYgp0iIsadIHWElp2jKL061BcI3vr47jjk2b9srtcSSOSo3tUb1xopBvhJVs3UKZRNNnnbWd00c0HUWPNzZ+oqsXh6SQ4646TCDynbCgBtweo4R0SLDt6Tm0fHlvFD0cBDeceeZvpk\/fjjQ0DOlZc0qJ11RckgphJfVxGEtY2oU0w\/BOzzs3DO9aunQXOfQZoUuIyko\/T5CHhKUTndk\/ksNMmneK\/sKs\/a9dtOhN3W5n\/u0M57irDhOIfF8SynMQTBMz5bra3PxpGP6cxVcY3hSGDWFYw3Js7tzX9QwhRTBxaI4E+rLmVAhL7oSmqrWuJQ7Fi+L4WfOqrMsJstilD\/IoEhSx+nmCvCIsNZ2cVUAmrMRin4uB+eg84dWm1tZhbMBqkmB6c9lVh4lFAdzDkjWzxVKrqj40vwwuKy39r5631PN+6Hnf9\/1LIayOjgOoQR8iCAqmS1jqA6I6M7nGZ7Qa5eIfBDeaZxrvr6h4H94kU0JZ1Ehk01BukIeEZUW7TBen0pzxVhO6VhNQ67lcjlJKOpreXPbWYQJRAIQlVyexY8fvMFnfv7ik5E+\/973\/zcj\/XlLyJ1jzqlW7tSTs7\/9aykkfSIWwjou6uj24lnm5+PXTpnXiWvgbtKWj9E2rGO1OOPKNsJgfdYCTRYKTqGX12Wf\/lvnkyhRFjzU2fkKOOsYWTdSkrG47FD0KgLAwXJyfBP6Pd82b1x3Hz8Txk3G8lWgrjp8+66zt27Yd4KjMnS3CrtKy7BwQFn2YP39nEFzl+1dE0QMsXpJBFiKfzGhPNPKTsNQH0ghn0Cy0nzJvxVgbxy\/aVb+KcFpVKq8m1uGUogAIi8CEuEnUI+uUpXKIXcxakQs50iGfNGQhNenngLDoRm3tnjC80\/cvC4LK1av79HdoqEqdyejlB\/KHsNQup8m2qBPHfG7YMBCGd5t3+Ny6cOEbBNFSACjrGqB0znrrMLEoAMLCfLFdfB7rxLIxUxETwiFZLQmYi7SKcEg6IgsO5YCwaNE83\/BsEGxg3UoYuHnzXvKpXOGe1PIEeUhYOmWIpgu6N9\/c3uj7F7LWZsUterJQkcyOw+RAXhMWtotRQjoSuZPM2h6VSIEE+UpLh5ycERZg6Wqeb6gzQUE9QZZ4iq0jrGOAtnQe1Tqnj0sUdM\/K2vfXB0EFa+2Ojsxfr2zfbG8dJg\/ynbAUWGX2jwaMGz7CcK2DKRxTmrIczRlhwUr4fxQ9blaF5TNm7Ojr+4p8cah08gT5RljMD7Onc80uqz\/zKqHrfX8tF4D6+o91HxNMVCcd8gH5TlhJJrKWqrSoiq10rPnaa7USCJ6QG8Kira6ug1OnvhIEVb5\/fhw\/JTpwhHVs0JamiAlUu+Yfmi\/6\/iWctTjeylqbo+qh1FRKYupwmBTI93tY1hxJyKa1i+FCQ5awrOgoyqSJs9AhnTPCoh4aNQ\/i3+d550TRvWvWvEumeDOjlB\/I2yWhmi4vf8985uMnYXjbwoVvMKvKlw3YyVSm0g6TAYURYclSsVoYyhpoMl\/clCQFDvX3f83ykETOCAtQ1aZNe2nO85YHQSXRFr1SE+KCPEG+EZZOtHaZsQULdpoodVUUPcx6UGcWHU6lLlHSHFXQoehRABGWBJPV1RUDTdooaeWjQFpqbFGArURwuSEsWw+rwvnzd\/r+WvNA1iMsZ+iA+plKQ6kg3wjLNkcH2tv3x\/FzQVAeBFfG8Qt6l6x0OLM60VJWji3rUPTId8IaBRmoKCmTZSCTxY5hKPEUu7JsDuWMsNQc3TOvQ7nV9y8Jw5tra\/foXSj0ynrahCN\/CGtUW8yeWQ\/+wvzSWrt4cQ855Fu1pD4JR1iTCgVAWJahkvaaTONjAwMj\/+ZTWqsGFVRZmCJn97DoAI1u3fpZHD8dBBVBcPXs2V0tLcNiq7QaOnnkVYQlqHUmaubMV8PwFvOvzIcrKt5XT47aJXLyalYdTjUKg7DEQUe1VwQFQhh0lGm9jm3uCYvmaLe390vzxYRq846BR6uqPtRt44zev4U6kFYfskQeRlhMHSeRqYvjVvNysUunTeuE60epJXHUTIciRmEsCY9rl7jZdymQn5slIaAeERYttrV9HkX3+f7FeknmMdaD5EOsxxjCqUD+EJZtlEkjUoahwvB287XH6+vrPyYzl9PikOcosHtYJwDMPWeEBcQ7EJD5aiGRQrnvl7HG6e4e+V+hdEa1KI+V0+YMeUhYTBqzVF7+XhBc6\/vrouje9vb9HMpZTxzyH46wTolz4maDg4fPPPM3QXCj5\/0TrTc17dMh2pIT2kaVtru5Qb4tCTUnMNSsWV3mfwJXx\/Ez9vfBjKrDpIcjrDSd01aIm9FoWdk7MEJp6X+n3TVr3rWHxi4ASSd3c4C8uulOo1oy19XtiaJm318dhjUrVrzNCjH3M+OQz3CElZpzUon1dnm++fbnM6Wl\/xCGN7EqhKfsIaVVUEilD9kj3whLj\/6uXLk7DG\/2\/fOj6P7W1pGfVnPcE4c8hyOs1JwTDpKDWT4iQJg793XPOzcIyuP4KRaJHFJzSmRKHoEOZXZOMfKKsGjr4ME\/9vd\/PWPGDt+\/yPcv4Xxx1sbSusMkhyOs1JzTEhYiz8cJ167tN7eQ10bRvU1N+4gj0JROKo2eMPKNsGjXBKRPmr80Vc2e3UUmU6r+ODgIjrBSc068i4ZsnYoOGhs\/iaKHCBmC4EbWO6PemSnJ7OcWeUVYwvr1\/VHUyAqaXpGmA3pGJHPYwcERVjJxkqAS612kFR20tX0+ffp28yH7q+L4efsWOqB20Uml9fEi3wiL5maOPOBeTYQVxx1EW+S4CMthFBxhpeycqg2R8\/f0HDIvJr\/J9y+LovvsR6EF1BSIZfZziHy76T409I35evbI26UXLnxDr8Mnf0ImxyFv4QgrZee0QQFb0vjhtm0HWOmYZ4uuq6h4X\/e5pExC+il2IEvkFWExJ+3t+80fA64IghuSs5TjnjjkORxhpekS1IOnHTR\/e5SQHhw8HEWPBcGVvr925crdenODWmQrjtBuLpFXhDUwcLihYSgMa33\/8jC8u65uD6dMh2yXHByAI6w0nZN6CKlozvoYOXBWHL8QBNd63j\/Pnft6Z+cXUlC7NoGoSG6QV4TFAtC8wf068\/zHE01N+5g0HYLcbdrBwRFWms5JPXgXQZZd0eBvRFhLl+4Kw3rP+74+VwUp0CWrhignrW5kg9wQFpXYcBJQuZbANqH8lpbhOH7W99cFwfVLluxiechs6JA0lXZwcISVmnMKas4yEc5GzFVTMxhFj0BYYXjn8uW95Cd5DcEtKWUdOAfIGWExUlsVs2EJy7bF1sxPo++XsSrctGlvb++XKmX1VdzBwRFWas5pgYPhZiRUMwIpmEciVwTB1dOmdUrNHkXfphEdPdWYqAhrbLWw9pEvel0YhvfojdLko0xwqrSDg+AIKzXntKC2UW7f2fnFGWe8bN7yXgZz4aJyXSQZROQymsjZPSxVpcqPWm139yHzhoaLff+yOG7Zt+\/36gPb\/v6vmSupOTgAR1hpOqeQrFm+h+OZz8D8zPPOjaIHCCIsZ9E3lj9SI6HQLAfI5U131ZwMtZIw\/8h5zvPOCYLroHVypEYRR1gOo+AIK03nHFWhoicSeJ3538kDvn9BGN65YcNAX99XlhpEE3JpZeYAuSQsOzRbp+pHyGc2ouhRz\/sn1oP2Bp+ULZU7OAiOsNJ0TlVlK7SExdZ8rLDD99fpVTOsg+TDptyIS1svVc6pRo4Jyw5Nrah+EpyaxYt7wrDB\/CMn8xMq\/M5sSFliqnFwcISVqnNSj2hIFZIQYZHo7Pxi6dJdQXCNeZfmr3RrGc+0muyyHaklJ8g9Ydm0pWa2zIC+7M9iedq0TmaJTPuhNulrDh0cgCOsNJ2TevBG62ByNjnnwMDhmprBIKj0\/UsJKNrb9+OTg4Mjb9RUQampYA4wgYRlqZnJ6e\/\/Oo6fCoKrfP\/CefO69YrR5BySsGkHB0dYaTqn2rIOxi6eyS4JnLCt7XPzub0Loa3m5k+JIyxh5R4TRVjMBlOkykmYP1qOvH7H969YvryXHKkB9cERlkMSjrDSdE7q0XpHu3JUVU6iu\/sQHcA5g6C8uvojogktCW0HtM0NcklYydpgH7sQhrLr6z8Ow3rfXwOVb9gwoNYBCpo62yUHB+AIK2XnxCGtzyejAzLNh7+eNMufi5cs2dXVdZCjo9RyhgkhLLYQuqVp\/YUwDGvMG1mbGhqGrCbd0OQg6pKDA3CElbJz4l2qjQTOidh8CGvGjB1BUOX758XxS5Yp6J69x5wzTBRhMVh9BJuZaW\/fP2fOa0FwA+vBOO5oaRkmXxPI1hGWw1g4wkrfOW3C+r92cdT16\/vNT\/gro+hBVkBkitSKO8ICVMsw2TJSjRcx\/3luYYEcBNeXl7\/HkhkF2w0VEW1lanGY9HCElb5zfhfwwNbWYZjC884Nw5tZFZJDbMU2o5FD5J6wNFLVLCZqbPxEX6UPw1qWhxA6mVKWJjloqgYHB+AIK3eERSsEEXG81ffPD4KNs2d30TEc0rYuR1X6VCNnhKWqVLnqZMuoISPOhfnP86VheLf+haPWpYkwP6IwBwfBEVaaznls0MrQ0DdTprzs++t8\/\/LTT9\/W1\/dVcslDWh6bA+SGsKhEg7K1qRUye3u\/XLbsLd9f7\/tXRNEWBVNSkz5Cjvrj4CA4wkrNObMBDc2d+7r5UmFZHD\/V3r7feinboiQsBpgkZeoXDXV0HJg+fbvvnxcEG+L4GelIjaNK53JCHAoCjrBSc84ssWLF22F4h+9fCGU0Nn6idZCVnPUkZ0vC5NAQ2EpD3rx5bxw\/63k\/DsPqs8\/+rRRsESk7wnIYBUdYuSYs83KCR3z\/AjpTUfE+i0TFIMkwJAfIGWEB6hT1IJwLVn9UXlX1YRQ1e945YXgXJJ5sDjV1wBGWwyg4wso1YRFV0Rnzds3bFy58Y2DgsHXmXHYjl4RFVYxRvKwIi5yVK3eH4d2e96MoerimZtBqqg+aDc1Mij1xKHQ4wkrZOY+LtrbPZ8zY4ftrguCG00\/f1t\/\/tXzSSkbvFCPHhEW1Yh+2SphHRm\/0vJVxvHXr1s\/UXFKTXUdYDqPgCCtl5zwuenoOmV\/H1gVBeRQ9Zt\/kB6yj5gC5JCzBVkiCOCuOX\/L9K1gaT5nycm\/vl5aY2DrCcvguOML6NpEb7Nv3+6qqD+mM768Nw3u2bTuAW5JPH4qPsFTnqKrIMW+VafX9i4OgYt68bhaJUJjUVESlxpZ1mORwhJWac2YDGsIJm5s\/DcObcdcwrCGtezrWSzOqpxg5IyyYyNZpc8xbZZp8\/zxmYNWq3Sjop0NTKNM6Qo5KOTgIjrC+TeQAeCBiXox1l7mNdX19\/ce6747krBsgN4RFbWIiWznDHBr6BpqOons97yc6I+QTeLJVKbWeVh8cigmOsFJzzmwgp+3s\/CKOfxUEVyKLF\/fo8VEdyllPckZYTL7GpcohLNaDRFVheJvvXxjHWxsbP+Go1DLFcntSHAoIjrBy7Ru01dNzaPbsLvOemTVx\/Ou6uj0QFofY4s9SO9XI2ZIwGTmq2t7eL+O4wzzufznzAF\/rqIPDceEIKzXnzBK01df31bJlb5nXJV8URY9WVX0owsK3k1HGKcUEEpb5B\/iT5nscFUuX7tqx43c66uBwXDjCSs05swRtDQ4e3rBhIAzvNH\/QuXf9+n4RluWLHGCiCIv6zR33R8yK+Lry8vegbx11cDguHGGl5pxZgrb27fu9uet8v\/mu6s0rVrxND3UoZz3JGWGpTtXGFmpuaRk2vzlcztg3bdrLbEjZweG4cISVmnNmCbyX\/vT0HIqiZt8vY2W0cOEberIhl93IDWGBZLUAejIfnrjJ99eHYX1HR+YxNAeHbOAIK03nzAa4rm6ux\/HTvn+x76+ZOfNVFonk57IbOSMsYKsFAwOHKyreh6YhrCh60K0HHcYFR1gTQFj0h20cvxQE5b6\/6vTTt3V3H8plH0DuCUsVdnUdXLp0F2wVBBVx3Ap\/ScfBIRs4wso1YRFb0R9aPPvs3wZBpeedS6jV2jrywZiMRk6Qe8ISZ23d+pl5b9\/IQ7MwtSMsh3HBEVauCQu\/ZUlIi0uW7ArDOz3vx1H0aG3tnszhXCGXhAWoVj8XJt6uU7tgwU4IK92GHIobjrByTVi0pVijvPy9KHrEfPLr3lWrdmcO5wq5JyzRNPNv\/kV4fhjeU1Hxvm7eZZQcHI4HR1jpO2c2wEtNrPGM5\/0kDG+bM+e1zIFcIWeEpXqoVgth896+n5t\/ET7S3Pxp8i+EDg7HhSOsNJ3zuFBbCOuj1tbhadM6zSe\/qqZOfSVnfRByQ1gaqWoWYS1e3EO7nvfPcfyr7u5DysxoOzgcD46wUnPObIDfqjncuKvr4Pz5O82jWBvong5l9E49ckZYrARVrR7mMH+ivNL3VxFdEl5pnZjRdnA4Hhxhpeac2QCPtYyAu5aVveP7l\/n+WtZHOXbdXC4JVS2J4eE\/nH76Nt+\/wPcvOeOMl8kUnWVUHRyOB0dYaTrncWEJS2k6Q3iF90bRfXorlg7lALm86a5qqdC8p6HNfIvw6pkzXyWHIafYkEPRwxFWTgnLMoLStbV7zJ9ULgnD+s7OL+inDuUAuSQsWElM3db2eRw\/YQjrxoUL36AJR1gO44IjrFwTlm2LxKZNe6Oo0ffXheEtpPUFHR091ch9hAU3QdBR9JD5YfQelsM6lGJDDkUPR1gpO+exMaqt1tbhKHrc9y8Pgsry8ve6ug7i1Zljpxg5JixqO3jwj+ZFo3eZZxoer67+KN1WHCYDHGGl7JzHxqi2OjoOmH8UXhUEV7NEYld8kQPkjLDEViQ4C7Nnd5mvb5wXxy82Ne1LqwmHyQNHWGk653hBSDVvXncQbPT9K84442UCriIjLNWpqoaH\/2DY+Trfv0BvRs5ZOOlQNHCElZpzjgtqtLf3yzVr3g2CG31\/XRw\/kcugI2eEZW+r79v3e\/Nm5Kt8f83y5b2QNecllVYcJg8cYaXmnOOCGh0YOGx+KPy5eRTrvvr6jzOHTz1yHGEhg4OHo+hh82KZcr0Z2RGWw3jhCCs158weahEZGvqmpWXY\/FC4Ngxvrqz8IGc9ydk9LNVDtT09h8LwHvON\/utragYZuyMsh\/HCEVaazpkNaMsGHXSss\/ML8\/aCy4LgSpaH4oscIGeEJTDS9vb9YVjr+5eG4a2bN+8l56D59IaDQ\/ZwhJW+cx4bMIK9rYPHsjKKosdYKPn+RStWvJ0zH84lYVEV8RQNmbt1xJINxJVMgrvp7jBeOMJK2TmPiyRhkcaT4\/hJ37\/C8\/550aI39+XqEzK5JCzGCy\/X139sfiJcF0UPEG2l24TDJIEjrFwTVrI5EqZvzwfBRghrxowdXV0HdSgJ1BSPiE1SQS4Jizp7eg6Zb09c7fuXR9Hj27YdIF8tptiQQ9HDEVbKzjku0C40NG1aJ2slz1sZxy9t3fpZ5lgCqLFURAqXsGCoZcveCoJy8+2JZ8XLajHFhhyKHo6wUnbOcYF28Vjz\/Het5\/0ojp8TfahLtlckCjrCouetrcMzZ75qnmm4fvr07QRc5KfYhMMkgSOslJ0zSyRbX768Nwzv8bxlcfxEXd0eckQcSXqymSp18sgxYel90Oa9FDWMV3\/zVlsODtnDEVbKznls2LbwYdtoZeUH5msU\/xhFD5WXv0f+UeMp8uXktuDJIGeEpWqrqz8yT42WheGdkPLQ0De2LQeH7OEIK03nPC7UFpK8IdXUtC+Onyot\/YcwrF+6dBc5cmYk2THSYzNPGDkjLHW4ouL9MKzz\/fOj6L729v25\/zS\/Q3HAEVaaznlc2BbpkqgBdHZ+EccveN6SILhx1qwuKSRFamDU7skgN4SlOtmuXt0XBJW+v4oosq\/vKxtgptKKw+SBI6zUnDN7qEs4rXYHBg5Pn77d874fBFeffvo2ZQry9lPRvZwRlrhp2bK3fP8KE2E9aj\/tpRZTachhksARVmrOmT3UJUtYrI\/mzev2vB\/7\/mVx\/LQyBTHIqfDqXEZYjHTBgp2+f7Hvr4njJ7Ue1NF0n9VwKHo4wkrNObOHuiTCIk3CBCD488VR9HiSnsQgClKUkxZySViEVDNHnmk4LwjK4\/g5R1gOJwxHWKk5ZzawLdKlJDWYt2Jd7ftlUdQ0OHgYN7aaqEFYbJWTFnJ20516ursPsdT1vBVBUHnmmb+Bv2zlqY\/LobjhCCtN5zwu1BZiIws1vWHDgPl8DoS1CffGpRV\/AdQKnbDMx3Ke9rx\/CsPb5s59XYRlJaPn4JAFHGGl6ZzHhdpCRhFWVdWHYXin718Uhve0t+\/v7\/8aBVNiREE8Is20kDPCAps3743jFs\/7QRjezeJXS0IasqTs4JAlHGGl7JzHBW2JFxDbdH39x1H0kO+vIQapqRns6\/vKEgderRWiipg6UkAuCcs8GdvkeT+kubKydxiR6ldzKTbkUPRwhJWycx4XuKg81rIDMM+OPun7lwbBjStWvA1hKR8FOo+QplSKIUkuCWv16r4oupclYRRtYfGbyT3SYooNORQ9HGGl7JzHBW1ZUlACtLQMx\/GL5r\/BN8yfv7Ori5gq0zdFWKTZ2nXiySM3hKU6lyzZFYb1nrc8jlvr6vZkjqXXisPkgSOsXLuNmksKmR0dB2bP7jIfKLz2rLO22w8UctSSSIESFn02r6O41byO4vlkc6k04TCp4AhrAjyH5uAFtatEd\/ehsrJ36GEQXB3HzxJwjeWmQlwSUtu+fb+fMuVlIkfP+\/H06ds7O79QzWpOag4OWcIRVmrOmT1oDuoRVYkj+vu\/Nm8Qvt73r4jjlqamfUVDWMMj3099Jgiu8bx\/XrBgp14swyE1JzUHhyzhCCs158weNGcJSzQ0NPRNe\/v+IKgyHyh8sLHxE\/qc0T4C9AuWsH7l+5f7\/vmrVu1ml1Ek23JwyB6OsFJzzmxg28JXlSZBMMW6yXy272bzZMPdRFtjI6x0PTxn97CY\/Cja4vuXMrT16\/tF0Mm2HByyhyOs1JwzG4xtlC3cRNwxOHjYfAIawqqtrd0jwpKOkK6H5\/IeVhQ9wLiCoLyy8gNyRFhqLpVWHCYPHGGl5pzZQG2Nag4HpodwVhg2GMeurKr6UIRlXfqoBU8GuSEshtbf\/7X5tDXjur66+qMkYanFVBpymCRwhJWac2YJ2rKkoARb6MksnR70\/bVBcFVFxfvwlxTUN7ZKpIXcEBaj6Og4YP51dGkY3sZSl2ohLI3LSkbbweF4cISVPhccG6InWsRvbRiFsGs+AX2571+yZs27rKSUqe7Jw1VDKsgNYQ0NfbN5816oynw\/9d5Nm\/aqFQZuG5Kmg0M2cISVmnNmCbkrLbJVGCWBm+L4qSAo9\/3zV67cPTh4mJxCJyzWg+Z\/3Tf7\/vooelhtUTNnhKFJx8EhezjCSs05swENwQj4qmiLjomJlB\/HL5hPQP9k\/vyd3d2HpKm+SUfpVJAiYUn5qPqMYtWq3UFwQxBcGce\/3rr1M9RowkZYDg7jgiOs8TnnSQJHFQeJsxBxFofIPPvs3xKMQFjTpnXKt6WmstJX+uSRFmGpVLKfFhzatu3AnDmvMfPI9Onb2ZWyrTzLVhwcBEdY3yZyADk2zdlEkrAIrMwnoM8l1IJHpKa+2SKmmhSQboSlsWT2j4Cc9vb95kP8FUFw3cKFb3R1HURTg5JkVB0csoMjrPE550lCbSGWsOziiPSyZW+F4Z2etyKOn25oGCLHEoGKIKaaFJCbJWFr63AcP+v7l7MqLCt7p7f3S9RsE0o4OGQPR1jjc85UQHOWsGwCKS9\/L4ru87xzoqiZfipfRUjnLWEdA01N+xiLP\/KF+pvq6vYMDh62NTMWyFpqDg5ZwhFWas6ZPWjO8pQ4Qn0w7x192POWR9H9q1f3oaOOSa0QCYs4MYruNV+or21r+9z+Ksoh\/eaQSisOkweOsFJzzuxBc3YlKCZSeuvWz+L4V+ZjDXWLFr1p\/Zmt1PKcsMaWqq3dA1X5\/uowvEMvqrcKpMVf2nVwyAaOsE7QOU8YtJUkKe0q3d19KI6f8bwfsYCaNavL+vOoIqng1BGWCrKlqg0bBswX6i+IokaGY2kaOMJyOAE4wjpB5zxh0BZOC\/vY1i1NDA4eNt\/vW0lXp059ZWjoG\/XN6kgtFaROWLafKsiWaTffW7zK9y+KogcYcpKw2LUhpINDlnCEdSLOeTKgLcVKydaVpp9nnbWdBZR5jd\/zAwOHpaatVUsFp4Kwkv1kjBDu8uW9vr\/O\/C+nmRwNXPok2FXawSFLOMI6Eec8GdAWjpps2gr5rAR9\/xLfvzSOn9bLOeXYUlANqeDUEZbSzHlf31cLF77h+2XmMfcnFV7ZmpP6Dg5ZwhHWt4ncgLYUWahdNa1MZN68bsIr1lBx3KqvE5KJq5uiaeJUEJaIVenh4T90dR2cM+c13z+PmY\/j5zgLqlZNCNJ3cMgSjrC+TeQGtGVJQQShDsBKyIIFO4OgwvcvjOOW3t4vOVoohKWuqhTpfft+39n5xcyZr3reuUFQGccvQWGq34ZaKujgkD0cYZ2Ic54Mku3KgZWDtyNLluwyP6udD6Hs2PE7ZSYJS2VPHikSlpQpSD9VijSE1db2+dSpr3jeOWFYfdZZ2\/XCHKmxlWb2rTg4AEdY43POdJFsV91Ys+bdMLzD835CV5ubP5Vvw1lWh3QqvU2LsFATT4mJVEqZ5nPWz3je98OwjshxaOgbdV4iNctcDg7ZwBHWt4l8wIYNA1F0v++fp09R0PNRhGVJ4SSRFmFZnrIJMtnS57q6PXHc6nn\/yFiWLXtLEZZKCSqVZUMODsAR1jicMweorv4oih5hSRiG9VVVH+q+Tz4Tlu0SBZOERZr+R9Hjnrc0iu5bvbqPszC2TkdYDuOCI6xxOGcOQFRFVOL7F4bh7WVl79j3juoo\/SSdSm9TJCx1ySbIpBKodu3afsjX85ZFUVNFxfuWm6RsSo+jIQcH4Agrv3xm8+a9cfyc718UhrcsXtzT1\/cVLCASAfQzDwnLFrGURIIF4IoVb7O8Nf\/lfqymZlCH2FrRLlsHhyzhCOvbRD6gpWV46tRXfPM+ltmzu3p7v0wyFAlLCieJtAgLSFPFlUOCCGvRojfDsMHzfhTHTzY2fqJDqImCs6\/fwcHCEda3iXxAe\/t+87D7uiC4Ydq0zp6ekTe7q4dWMqonh9QJa1SCOZ8z57UwvM28j\/AZiFiHqP+gew7L4UThCOvbRD6gs\/MLAhPfXx8E18bxCxCWuicqSbGfKRLWWFAWVpoxYwdxouf9mIFAxKqQ+kVY0nRwGBccYZ2sc6YLGMp8ZqY8CK6J4193dR1U91hGJW9mnTzSJaxR+qTp7RlnvBwE13neSha5eps7h9hyOsZVuYODhSOscTvnKcXAwGF6aL7aUB5FjxNw4eF0L88JS53M7Jji9DaOO4Lgat9fNXPmq\/ojt\/IdYTmcMBxhjds5TymGh\/+wadPeINjg+5dF0UNtbZ\/j4XQPb89zwkr2jbKs+4gQzYesL1ywYKceKCN\/FGGNqxUHB0dY43bOUwr8GZIKgo2+f0kUNerfOeTTw1GkcJI41YQFQ8XxE75\/qe+vWbJkl2iXQ6glCYvdcTXkMMnhCGvcznmq0dV1MAiu9\/2Lw\/DOzZv34vnKT7efp5SwSO\/b93vzvZyLfX\/dihVvk6kKOQQFK83WEpmDQzZwhDVu5zzV6O4+FIa3E5uE4U0sDxWPaD2IpNXVVAjru\/TJHBg4HEUP+\/5FQXDtmjXvqnIOKYGoiCMsh3HBEVa2zpkz9PQciqL7fP8yXL2hYUiERVQizkqrq+kS1ijQVTOKB8wj+zXl5e+pclun0ogjLIdxwRFW3hFWb++XUfSgeRRrQ23tHtZWdA8PF2FllE4aqRCWimR2EmDCOzoOmC8SQli3M+fStHXadDLTweG4cISVrXPmDH19X0XRo+ZRrIrKyg\/spyjyk7CsWjINyW7evDcM6yGsKGqsrv4oeRRYnhqV7+BwbDjCyjuf6e\/\/Oo5bg+BqOGvt2n7WVvqhEMJCpHPySPemu\/RVFgwNfVNV9WEY3ub7F0fRw3V1e6Sjo8Cmx9WKg4MjrG8TeQJCqjh+1jzZsH7Fird37PhdQRAWBemeSsG5q1f3heHN5vM\/TxJtSUdbyUgxB4dxwhHWt4k8weDg4SlTXg6CG3x\/7YIFO9vb94un8p+w7PMKvb1fLlz4RhBUwblx\/KL++axD0hwp4+AwfjjC+jaRJ4Cw9Ldh37+ERGvrsDw8bwlLmknC6u4+RM+D4PoguHLmzFfhXKvG1hGWwwnDEda3iTzB0NA3c+e+Hoa3+P7FcfwC6yl1Lz8Jy2omCYtlLD1nwoPgmsWLezo7v7BqbBmF0g4O44UjrHE4Z26wb9\/vcfIw\/Lnvl8Xxk7pjDcQmaXU1FcKSmnrF1hJWR8eBOH4qCK4Kgo1lZe8QcFk1xBGWwwnDEVa2zpkzDA\/\/YcWKt8PwTt+\/IIoepsN0DyeXw2eUThppEZaKKGEJq63tc+rXW73of1\/fV+SLp2xCNTg4jAuOsLJ1zpwBwjI\/sd1lPqfauHZtv4YgKkkL6RIWabaWsFpbh6nZ9y8Ngutqa\/fo3TI6ijjCcjhhOMLK1jlzBnoLSYXh3ebrhHWrVu3G2\/UV0oxGGkiRsKSZpCTqDMN7fP9iCKuhYWhgYOTbP2MJS1sHh+zhCCtb58wZ6C1OHkVNvr86DG9etuwtuoe3pxuYpHgPS5oUpOfabWraZ+7BraH\/W7d+po+VidoQm1AlDg7ZwxFWts6ZG9ATuKmz8wt9nTAIKhctelOH8HlE6ZNHKoSVBH1jMatS5n85N5kXTtzZ3X1o377fJ3uuhsZbv4MDcIR1Is55SoFvd3UdjOOnzLtZrluwYKe6Z9kkFaROWBS0i77Gxk+o3PfXhmFDT88hiGwsYSHjbcLBwRHWiTjnKQWeTFRi3i98MX2eO\/d1ebucXDonjxSXhDZNP7Wtq9tj3kG4Poru6+v7ivlP9lw65NiyDg5ZwhHWv\/G6fACeTFRCh33\/kiC4eubMV+k\/+en2MxXCsvrAFiGeYpLNfyGviKIHBwYOE3lZNYCaIyyHE8G\/\/uv\/D8gp1mwY1WO7AAAAAElFTkSuQmCC\" 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text-anchor=\"start\" x=\"32.46001\" xml:space=\"preserve\" y=\"11.79\">y<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-style=\"italic\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"215.46001\" xml:space=\"preserve\" y=\"44.79001\">x<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" font-style=\"italic\" id=\"svg_10\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"29.46001\" xml:space=\"preserve\" y=\"46.79001\">O<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_11\" stroke=\"#ffffff\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"102.46001\" xml:space=\"preserve\" y=\"43.79001\">2<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_12\" stroke=\"#ffffff\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"27.46001\" xml:space=\"preserve\" y=\"75.79001\">1<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_13\" stroke=\"#ffffff\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"27.46001\" xml:space=\"preserve\" y=\"96.79001\">2<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_14\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"10\" x2=\"20.46001\" y1=\"79.79001\" y2=\"79.79001\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_15\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"27\" x2=\"39.46001\" y1=\"79.79001\" y2=\"79.79001\"><\/line> <\/g> <\/g> <\/svg><\/span><\/p>","options":["<strong>A.<\/strong> &ndash;2","<strong>B.<\/strong> 5","<strong>C.<\/strong> 3","<strong>D.<\/strong> &ndash;1"],"correct":"2","level":"2","hint":"<p>S\u1eed d\u1ee5ng \u0111i\u1ec3m thu\u1ed9c \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;5<\/span><\/p><p>Ta c&oacute;:&nbsp;<span class=\"math-tex\">$y=f(x)=\\dfrac{ax+b}{cx+d}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$f^\\prime(x)=\\dfrac{ad-bc}{(cx+d)^2}$<\/span>.<\/p><p>V&igrave; \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f(x)$<\/span>&nbsp;\u0111i qua \u0111i\u1ec3m A(0; 2) suy ra&nbsp;<span class=\"math-tex\">$f(0)=2$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$\\dfrac{b}{d}=2$<\/span>&nbsp;&hArr; b = 2d (1).<\/p><p>D\u1ef1a v&agrave;o \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f^\\prime(x)$<\/span>&nbsp;ta c&oacute;&nbsp;<span class=\"math-tex\">$\\begin{cases}f^\\prime(0)=-\\dfrac{1}{2}\\\\x=-\\dfrac{d}{c}=2\\end{cases}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$\\begin{cases}\\dfrac{ad-bc}{d^2}=-\\dfrac{1}{2}\\space\\space(2)\\\\d=-2c\\space\\space(3)\\end{cases}$<\/span><\/p><p>Thay (1) v&agrave;o (2) ta \u0111\u01b0\u1ee3c&nbsp;<span class=\"math-tex\">$\\dfrac{ad-2dc}{d^2}=-\\dfrac{1}{2}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$\\dfrac{a-c}{d}=-\\dfrac{1}{2}$<\/span>&nbsp;&rArr;&nbsp;<span class=\"math-tex\">$a=-\\dfrac{1}{2}d+c=-\\dfrac{1}{2}.(-2c)+c=3c$<\/span><\/p><p>V\u1eady&nbsp;<span class=\"math-tex\">$f(3)=\\dfrac{3a+b}{3c+d}=\\dfrac{3.3c-4c}{3c-2c}=5$<\/span>.<\/p>","type":"choose","extra_type":"shape1","user_id":"131","test":"0","date":"2024-07-07 03:41:29","option_type":"txt","len":0}]}
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