Chú ý: Để đảm bảo quyền lợi và bảo vệ tài khoản của mình
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{"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 không gian v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 Oxyz, cho m\u1eb7t ph\u1eb3ng <span class=\"math-tex\">$(P):x-2y+z-5=0$<\/span>. \u0110i\u1ec3m nào d\u01b0\u1edbi \u0111ây thu\u1ed9c (P)?<\/p>","options":["<strong>A.<\/strong> P(0; 0; –5)","<strong>B.<\/strong> M(1; 1; 6)","<strong>C.<\/strong> Q(2; –1; 5)","<strong>D.<\/strong> N(–5; 0; 0)"],"correct":"2","level":"2","hint":"<p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a các \u0111i\u1ec3m vào ph\u01b0\u01a1ng trình m\u1eb7t ph\u1eb3ng n\u1ebfu \u0111úng thì \u0111i\u1ec3m thu\u1ed9c m\u1eb7t ph\u1eb3ng, n\u1ebfu sai thì \u0111i\u1ec3m không thu\u1ed9c m\u1eb7t ph\u1eb3ng.<\/p>","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> M(1; 1; 6)<\/span><\/p><p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a các \u0111i\u1ec3m vào ph\u01b0\u01a1ng trình m\u1eb7t ph\u1eb3ng (P), ta có:<\/p><p><strong>A.<\/strong> P(0; 0; –5) ∉ (P) vì <span style=\"color:#c0392b;\">0 – 2 . 0 + (–5) – 5 = –10<\/span><\/p><p><strong>B.<\/strong> M(1; 1; 6) ∈ (P) vì <span style=\"color:#16a085;\">1 – 2 . 1 + 6 – 5 = 0<\/span><\/p><p><strong>C.<\/strong> Q(2; –1; 5) ∉ (P) vì <span style=\"color:#c0392b;\">2 – 2 . (–1) + 5 – 5 = 4<\/span><\/p><p><strong>D.<\/strong> N(–5; 0; 0) ∉ (P) vì <span style=\"color:#c0392b;\">(–5) – 2 . 0 + 0 – 5 = –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 không gian Oxyz, m\u1eb7t ph\u1eb3ng <span class=\"math-tex\">$(P):\\dfrac{x}{1}+\\dfrac{y}{2}+\\dfrac{z}{3}=1$<\/span> <strong>không <\/strong>\u0111i qua \u0111i\u1ec3m nào d\u01b0\u1edbi \u0111ây?<\/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 các \u0111i\u1ec3m vào ph\u01b0\u01a1ng trình m\u1eb7t ph\u1eb3ng n\u1ebfu \u0111úng thì \u0111i\u1ec3m thu\u1ed9c m\u1eb7t ph\u1eb3ng, n\u1ebfu sai thì \u0111i\u1ec3m không thu\u1ed9c m\u1eb7t ph\u1eb3ng.<\/p>","answer":"<p>Ch\u1ecdn<span style=\"color:#16a085;\"> <strong>C.<\/strong> N(1; 2; 3)<\/span><\/p><p>Thay l\u1ea7n l\u01b0\u1ee3t to\u1ea1 \u0111\u1ed9 c\u1ee7a các \u0111i\u1ec3m vào ph\u01b0\u01a1ng trình m\u1eb7t ph\u1eb3ng (P), ta \u0111\u01b0\u1ee3c:<\/p><p><strong>A.<\/strong> P(0; 2; 0) ∈ (P) vì <span class=\"math-tex\">$\\dfrac{0}{1}+\\dfrac{2}{2}+\\dfrac{0}{3}=1$<\/span><\/p><p><strong>B.<\/strong> M(1; 0; 0) ∈ (P) vì <span class=\"math-tex\">$\\dfrac{1}{1}+\\dfrac{0}{2}+\\dfrac{0}{3}=1$<\/span><\/p><p><span style=\"color:#16a085;\"><strong>C.<\/strong> N(1; 2; 3) ∉ (P) vì <span class=\"math-tex\">$\\dfrac{1}{1}+\\dfrac{2}{2}+\\dfrac{3}{3}=3$<\/span><\/span><\/p><p><strong>D.<\/strong> Q(0; 0; 3) ∈ (P) vì <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 không gian Oxyz ,m\u1eb7t ph\u1eb3ng <span class=\"math-tex\">$(\\alpha):x-y+2z-3=0$<\/span> \u0111i qua \u0111i\u1ec3m nào d\u01b0\u1edbi \u0111ây?<\/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 các \u0111i\u1ec3m vào ph\u01b0\u01a1ng trình m\u1eb7t ph\u1eb3ng n\u1ebfu \u0111úng thì \u0111i\u1ec3m thu\u1ed9c m\u1eb7t ph\u1eb3ng, n\u1ebfu sai thì \u0111i\u1ec3m không thu\u1ed9c m\u1eb7t ph\u1eb3ng.<\/p>","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> <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 các \u0111i\u1ec3m vào ph\u01b0\u01a1ng trình m\u1eb7t ph\u1eb3ng (α), ta \u0111\u01b0\u1ee3c:<\/p><p><span style=\"color:#16a085;\"><strong>A.<\/strong> <span class=\"math-tex\">$M\\bigg(1;1;\\dfrac{3}{2}\\bigg)$<\/span> ∈ (α) vì <span class=\"math-tex\">$1-1+2.\\dfrac{3}{2}-3=0$<\/span><\/span><\/p><p><strong>B.<\/strong> <span class=\"math-tex\">$N\\bigg(1;-1;-\\dfrac{3}{2}\\bigg)$<\/span>∉ (α) vì <span class=\"math-tex\">$1-(-1)+2.\\dfrac{-3}{2}-3=-4$<\/span><\/p><p><strong>C.<\/strong> <span class=\"math-tex\">$P(1;6;1)$<\/span> ∉ (α) vì <span class=\"math-tex\">$1-6+2.1-3=-6$<\/span><\/p><p><strong>D.<\/strong> <span class=\"math-tex\">$Q(0;3;0)$<\/span> ∉ (α) vì <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}]}