{"common":{"save":0,"post_id":"6462","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6920","mon_id":"1158767","chapter_id":"1158801","post_id":"6462","question":"<p>T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng trình <span class=\"math-tex\">$x^2-4x+3<0$<\/span> là:<\/p>","options":["<strong>A. <span class=\"math-tex\">$S=(-\\infty;1]\\cup[3;+\\infty)$<\/span><\/strong>","<strong>B. <span class=\"math-tex\">$S=(-\\infty;1)\\cup(3;+\\infty)$<\/span><\/strong>","<strong>C. <span class=\"math-tex\">$S=(1;3)$<\/span><\/strong>","<strong>D. <span class=\"math-tex\">$S=[1;3]$<\/span><\/strong>"],"correct":"3","level":"1","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$x^2-4x+3=0\\Leftrightarrow $<\/span> <span class=\"math-tex\">$x=1$<\/span> ho\u1eb7c <span class=\"math-tex\">$x=3$<\/span>.<\/p><p>\u0110\u1eb7t <span class=\"math-tex\">$f(x)=x^2-4x+3$<\/span>. Ta có b\u1ea3ng xét d\u1ea5u:<\/p><p><span class=\"svgedit\"><svg height=\"85\" width=\"400\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"87\" id=\"canvas_background\" width=\"402\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><image height=\"88.00001\" id=\"svg_1\" stroke=\"null\" width=\"398\" x=\"2\" 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g9LYr1y5EpXmA0IFABCGwgqV0K9yavov6WHeaih6cmnrcZmAHQWhAgAIQ6GFqsjgFwCAMCBUGcEvAABhQKgygl8AAMKAUGUEvwAAhAGhygh+AQAIA0KVEfwCABAGhCoj+AUAIAwIVUbwCwBAGBCqjOAXAIAwIFQZwS8AAGFAqDKCXwAAwoBQZQS\/AACEAaHKCH4BAAhDaqHCWht+wTAMC2dtChWGYRiG1dtihQoAAKCIIFQAAFBoECoAACgwxvwPtSSV4+B61i4AAAAASUVORK5CYII=\" y=\"-1\"><\/image> <\/g> <\/svg><\/span><\/p><p>D\u1ef1a vào b\u1ea3ng xét d\u1ea5u, suy ra t\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng trình là <strong><span class=\"math-tex\">$S=(1;3)$<\/span>.<\/strong><\/p><p>Ch\u1ecdn <strong><span style=\"color:#16a085;\">C. <span class=\"math-tex\">$S=(1;3)$<\/span><\/span><\/strong><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 09:01:12","option_type":"math","len":0},{"id":"6923","mon_id":"1158767","chapter_id":"1158801","post_id":"6462","question":"<p>T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng trình <span class=\"math-tex\">$-x^2-4x+5>0$<\/span> là:<\/p>","options":["<strong>A. <span class=\"math-tex\">$S=(-\\infty;-1]\\cup[5;+\\infty)$<\/span><\/strong>","<strong>B. <span class=\"math-tex\">$S=[-1;5]$<\/span><\/strong>","<strong>C. <span class=\"math-tex\">$S=[-5;1]$<\/span><\/strong>","<strong>D. <span class=\"math-tex\">$S=(-5;1)$<\/span><\/strong>"],"correct":"4","level":"1","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$-x^2-4x+5=0\\Leftrightarrow $<\/span> <span class=\"math-tex\">$x=1$<\/span> ho\u1eb7c <span class=\"math-tex\">$x=-5$<\/span>.<\/p><p>\u0110\u1eb7t <span class=\"math-tex\">$f(x)=-x^2-4x+5$<\/span>. <\/p><p>Mà h\u1ec7 s\u1ed1 <span class=\"math-tex\">$a=-1<0$<\/span> nên <span class=\"math-tex\">$f(x)>0$<\/span> <strong><span class=\"math-tex\">$\\Leftrightarrow x\\in(-5;1)$<\/span>.<\/strong><\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D. <span class=\"math-tex\">$S=(-5;1)$<\/span><\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 09:11:24","option_type":"math","len":0},{"id":"6926","mon_id":"1158767","chapter_id":"1158801","post_id":"6462","question":"<p>T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng trình <span class=\"math-tex\">$x^2-16<0$<\/span> là:<\/p>","options":["<strong>A. <span class=\"math-tex\">$S=(-4;4)$<\/span><\/strong>","<strong>B. <span class=\"math-tex\">$x>\\pm4$<\/span><\/strong>","<strong>C. <span class=\"math-tex\">$-4\\le x \\le 4$<\/span><\/strong>","<strong>D. <span class=\"math-tex\">$S=(-\\infty;-4)\\cup(4;+\\infty)$<\/span><\/strong>"],"correct":"1","level":"1","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$x^2-16<0$<\/span> <strong><span class=\"math-tex\">$\\Leftrightarrow -4 < x < 4$<\/span>.<\/strong><\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A. <span class=\"math-tex\">$S=(-4;4)$<\/span><\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 09:20:38","option_type":"math","len":0}]}