{"common":{"save":0,"post_id":"7102","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5401","post_id":"7102","mon_id":"1158924","chapter_id":"1159168","question":"<p>Trong c&aacute;c h&agrave;m s\u1ed1 sau, h&agrave;m s\u1ed1 n&agrave;o \u0111\u1ed3ng bi\u1ebfn tr&ecirc;n R?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$y=\\bigg( \\dfrac{\\pi}{3} \\bigg)^x$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$y=\\bigg( \\dfrac{1}{3} \\bigg)^x$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$y=\\bigg( \\dfrac{2}{e} \\bigg)^x$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$y=\\bigg( \\dfrac{\\pi}{4} \\bigg)^x$<\/span>"],"correct":"1","level":"1","hint":"<p>H&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=a^x$<\/span>&nbsp;\u0111\u1ed3ng bi\u1ebfn tr&ecirc;n R khi&nbsp;<span class=\"math-tex\">$a>1$<\/span>.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$y=\\bigg( \\dfrac{\\pi}{3} \\bigg)^x$<\/span><\/span><\/p><p>v&igrave;&nbsp;<span class=\"math-tex\">$\\dfrac{\\pi}{3}>1$<\/span>&nbsp;n&ecirc;n h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\bigg( \\dfrac{\\pi}{3} \\bigg)^x$<\/span> \u0111\u1ed3ng bi\u1ebfn tr&ecirc;n R.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-03 01:33:56","option_type":"math","len":0},{"id":"5403","post_id":"7102","mon_id":"1158924","chapter_id":"1159168","question":"<p>Cho h&agrave;m s\u1ed1 <span class=\"math-tex\">$y=\\Big( \\sqrt{3}-1 \\Big)^x$<\/span>. Ph&aacute;t bi\u1ec3u n&agrave;o sau \u0111&acirc;y l&agrave; <strong>\u0111&uacute;ng<\/strong>?<\/p>","options":["<strong>A.<\/strong> H&agrave;m s\u1ed1 ngh\u1ecbch bi\u1ebfn tr&ecirc;n kho\u1ea3ng <span class=\"math-tex\">$(-\\infty ;+\\infty )$<\/span>.","<strong>B.<\/strong> H&agrave;m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn tr&ecirc;n kho\u1ea3ng <span class=\"math-tex\">$(0 ;+\\infty )$<\/span>.","<strong>C.<\/strong> H&agrave;m s\u1ed1 c&oacute; \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn ngang l&agrave; tr\u1ee5c tung.","<strong>D.<\/strong> H&agrave;m s\u1ed1 c&oacute; \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn \u0111\u1ee9ng l&agrave; tr\u1ee5c ho&agrave;nh."],"correct":"1","level":"1","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;H&agrave;m s\u1ed1 ngh\u1ecbch bi\u1ebfn tr&ecirc;n kho\u1ea3ng&nbsp;<span class=\"math-tex\">$(-\\infty ;+\\infty )$<\/span>.<\/span><\/p><p>V&igrave; h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\Big( \\sqrt{3}-1 \\Big)^x$<\/span> c&oacute; t\u1eadp x&aacute;c \u0111\u1ecbnh l&agrave; D = R v&agrave; c\u01a1 s\u1ed1&nbsp;<span class=\"math-tex\">$ \\sqrt{3}-1 < 1$<\/span> n&ecirc;n h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\Big( \\sqrt{3}-1 \\Big)^x$<\/span> ngh\u1ecbch bi\u1ebfn tr&ecirc;n R.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-03 01:38:35","option_type":"math","len":0},{"id":"5405","post_id":"7102","mon_id":"1158924","chapter_id":"1159168","question":"<p>H&agrave;m s\u1ed1 n&agrave;o d\u01b0\u1edbi \u0111&acirc;y \u0111\u1ed3ng bi\u1ebfn tr&ecirc;n kho\u1ea3ng <span class=\"math-tex\">$(0;+\\infty)$<\/span>?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$y=\\log_{_\\frac{e}{3}}x$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$y=\\log_{_\\frac{\\pi}{6}}x$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$y=\\log_{_\\sqrt{3}}x$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$y=\\log_{_\\frac{1}{4}}x$<\/span>"],"correct":"3","level":"1","hint":"<p>H&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\log_ax$<\/span>&nbsp;\u0111\u1ed3ng bi\u1ebfn tr&ecirc;n kho\u1ea3ng&nbsp;<span class=\"math-tex\">$(0;+\\infty)$<\/span>&nbsp;khi&nbsp;<span class=\"math-tex\">$a&gt;1$<\/span>.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$y=\\log_{_\\sqrt{3}}x$<\/span><\/span><\/p><p>V&igrave;&nbsp;<span class=\"math-tex\">$\\sqrt{3}&gt;1$<\/span>&nbsp;n&ecirc;n h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\log_{_\\sqrt{3}}x$<\/span>&nbsp;\u0111\u1ed3ng bi\u1ebfn tr&ecirc;n R.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-03 01:44:54","option_type":"math","len":0}]}