{"common":{"save":0,"post_id":"8209","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6040","post_id":"8209","mon_id":"1159285","chapter_id":"1159382","question":"<p>Trong kh&ocirc;ng gian v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 Oxyz, cho m\u1eb7t&nbsp;ph\u1eb3ng <span class=\"math-tex\">$(P):x-2y+z-5=0$<\/span>. \u0110i\u1ec3m n&agrave;o d\u01b0\u1edbi \u0111&acirc;y thu\u1ed9c (P)?<\/p>","options":["<strong>A.<\/strong> P(0; 0; &ndash;5)","<strong>B.<\/strong> M(1; 1; 6)","<strong>C.<\/strong> Q(2; &ndash;1; 5)","<strong>D.<\/strong> N(&ndash;5; 0; 0)"],"correct":"2","level":"2","hint":"<p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a c&aacute;c \u0111i\u1ec3m v&agrave;o ph\u01b0\u01a1ng&nbsp;tr&igrave;nh m\u1eb7t ph\u1eb3ng n\u1ebfu \u0111&uacute;ng th&igrave; \u0111i\u1ec3m thu\u1ed9c m\u1eb7t ph\u1eb3ng,&nbsp;n\u1ebfu sai th&igrave; \u0111i\u1ec3m kh&ocirc;ng thu\u1ed9c m\u1eb7t ph\u1eb3ng.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;M(1; 1; 6)<\/span><\/p><p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a c&aacute;c \u0111i\u1ec3m v&agrave;o ph\u01b0\u01a1ng&nbsp;tr&igrave;nh m\u1eb7t ph\u1eb3ng (P), ta c&oacute;:<\/p><p><strong>A.<\/strong>&nbsp;P(0; 0;&nbsp;&ndash;5)&nbsp;&notin; (P) v&igrave; <span style=\"color:#c0392b;\">0&nbsp;&ndash; 2 . 0 + (&ndash;5)&nbsp;&ndash; 5 =&nbsp;&ndash;10<\/span><\/p><p><strong>B.<\/strong>&nbsp;M(1; 1; 6)&nbsp;&isin; (P) v&igrave;&nbsp;<span style=\"color:#16a085;\">1&nbsp;&ndash; 2 . 1 + 6&nbsp;&ndash; 5 = 0<\/span><\/p><p><strong>C.<\/strong>&nbsp;Q(2;&nbsp;&ndash;1; 5)&nbsp;&notin; (P) v&igrave;&nbsp;<span style=\"color:#c0392b;\">2&nbsp;&ndash; 2 . (&ndash;1) + 5&nbsp;&ndash; 5 =&nbsp;4<\/span><\/p><p><strong>D.<\/strong>&nbsp;N(&ndash;5; 0; 0)&nbsp;&notin; (P) v&igrave;&nbsp;<span style=\"color:#c0392b;\">(&ndash;5)&nbsp;&ndash; 2 . 0 + 0&nbsp;&ndash; 5 =&nbsp;&ndash;10<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-12-25 08:37:39","option_type":"txt","len":2},{"id":"6042","post_id":"8209","mon_id":"1159285","chapter_id":"1159382","question":"<p>Trong kh&ocirc;ng gian Oxyz, m\u1eb7t ph\u1eb3ng&nbsp;<span class=\"math-tex\">$(P):\\dfrac{x}{1}+\\dfrac{y}{2}+\\dfrac{z}{3}=1$<\/span>&nbsp;<strong>kh&ocirc;ng <\/strong>\u0111i qua \u0111i\u1ec3m n&agrave;o d\u01b0\u1edbi \u0111&acirc;y?<\/p>","options":["<strong>A.<\/strong> P(0; 2; 0)","<strong>B.<\/strong> M(1; 0; 0)","<strong>C.<\/strong> N(1; 2; 3)","<strong>D.<\/strong> Q(0; 0; 3)"],"correct":"3","level":"2","hint":"<p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a c&aacute;c \u0111i\u1ec3m v&agrave;o ph\u01b0\u01a1ng&nbsp;tr&igrave;nh m\u1eb7t ph\u1eb3ng n\u1ebfu \u0111&uacute;ng th&igrave; \u0111i\u1ec3m thu\u1ed9c m\u1eb7t ph\u1eb3ng,&nbsp;n\u1ebfu sai th&igrave; \u0111i\u1ec3m kh&ocirc;ng thu\u1ed9c m\u1eb7t ph\u1eb3ng.<\/p>","answer":"<p>Ch\u1ecdn<span style=\"color:#16a085;\">&nbsp;<strong>C.<\/strong>&nbsp;N(1; 2; 3)<\/span><\/p><p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a c&aacute;c \u0111i\u1ec3m v&agrave;o ph\u01b0\u01a1ng&nbsp;tr&igrave;nh m\u1eb7t ph\u1eb3ng (P), ta \u0111\u01b0\u1ee3c:<\/p><p><strong>A.<\/strong>&nbsp;P(0; 2; 0)&nbsp;&isin; (P) v&igrave;&nbsp;<span class=\"math-tex\">$\\dfrac{0}{1}+\\dfrac{2}{2}+\\dfrac{0}{3}=1$<\/span><\/p><p><strong>B.<\/strong>&nbsp;M(1; 0; 0)&nbsp;&isin; (P) v&igrave;&nbsp;<span class=\"math-tex\">$\\dfrac{1}{1}+\\dfrac{0}{2}+\\dfrac{0}{3}=1$<\/span><\/p><p><span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;N(1; 2; 3)&nbsp;&notin; (P) v&igrave;&nbsp;<span class=\"math-tex\">$\\dfrac{1}{1}+\\dfrac{2}{2}+\\dfrac{3}{3}=3$<\/span><\/span><\/p><p><strong>D.<\/strong>&nbsp;Q(0; 0; 3)&nbsp;&isin; (P) v&igrave;&nbsp;<span class=\"math-tex\">$\\dfrac{0}{1}+\\dfrac{0}{2}+\\dfrac{3}{3}=1$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-12-25 08:41:44","option_type":"txt","len":1},{"id":"6044","post_id":"8209","mon_id":"1159285","chapter_id":"1159382","question":"<p>Trong kh&ocirc;ng gian Oxyz ,m\u1eb7t ph\u1eb3ng&nbsp;<span class=\"math-tex\">$(\\alpha):x-y+2z-3=0$<\/span>&nbsp;\u0111i qua \u0111i\u1ec3m n&agrave;o d\u01b0\u1edbi \u0111&acirc;y?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$M\\bigg(1;1;\\dfrac{3}{2}\\bigg)$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$N\\bigg(1;-1;-\\dfrac{3}{2}\\bigg)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$P(1;6;1)$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$Q(0;3;0)$<\/span>"],"correct":"1","level":"2","hint":"<p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a c&aacute;c \u0111i\u1ec3m v&agrave;o ph\u01b0\u01a1ng&nbsp;tr&igrave;nh m\u1eb7t ph\u1eb3ng n\u1ebfu \u0111&uacute;ng th&igrave; \u0111i\u1ec3m thu\u1ed9c m\u1eb7t ph\u1eb3ng,&nbsp;n\u1ebfu sai th&igrave; \u0111i\u1ec3m kh&ocirc;ng thu\u1ed9c m\u1eb7t ph\u1eb3ng.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$M\\bigg(1;1;\\dfrac{3}{2}\\bigg)$<\/span><\/span><\/p><p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a c&aacute;c \u0111i\u1ec3m v&agrave;o ph\u01b0\u01a1ng&nbsp;tr&igrave;nh m\u1eb7t ph\u1eb3ng (&alpha;), ta \u0111\u01b0\u1ee3c:<\/p><p><span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$M\\bigg(1;1;\\dfrac{3}{2}\\bigg)$<\/span>&nbsp;&isin;&nbsp;(&alpha;) v&igrave;&nbsp;<span class=\"math-tex\">$1-1+2.\\dfrac{3}{2}-3=0$<\/span><\/span><\/p><p><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$N\\bigg(1;-1;-\\dfrac{3}{2}\\bigg)$<\/span>&notin;&nbsp;(&alpha;) v&igrave;&nbsp;<span class=\"math-tex\">$1-(-1)+2.\\dfrac{-3}{2}-3=-4$<\/span><\/p><p><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$P(1;6;1)$<\/span>&nbsp;&notin;&nbsp;(&alpha;) v&igrave;&nbsp;<span class=\"math-tex\">$1-6+2.1-3=-6$<\/span><\/p><p><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$Q(0;3;0)$<\/span>&nbsp;&notin;&nbsp;(&alpha;) v&igrave;&nbsp;<span class=\"math-tex\">$0-3+2.0-3=-6$<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-12-25 08:47:37","option_type":"math","len":0}]}