{"common":{"save":0,"post_id":"7587","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5594","post_id":"7587","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong không gian t\u1ecda \u0111\u1ed9 Oxyz cho \u0111i\u1ec3m <span class=\"math-tex\">$M(1;2;-\\sqrt{3})$<\/span>. Tìm \u0111i\u1ec3m M' ∈ Oz sao cho \u0111\u1ed9 dài \u0111o\u1ea1n th\u1eb3ng MM' ng\u1eafn nh\u1ea5t.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$M^\\prime(1;0;-\\sqrt{3})$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$M^\\prime(0; 2;-\\sqrt{3})$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$M^\\prime(0;0;-\\sqrt{3})$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$M^\\prime(0;0;\\sqrt{3})$<\/span>"],"correct":"3","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>C.<\/strong> <span class=\"math-tex\">$M^\\prime(0;0;-\\sqrt{3})$<\/span><\/span><\/p><p>MM' ng\u1eafn nh\u1ea5t khi \u0111i\u1ec3m M′ là hình chi\u1ebfu c\u1ee7a \u0111i\u1ec3m M trên tr\u1ee5c Oz<\/p><p>⇒ <span style=\"color:#16a085;\"><span class=\"math-tex\">$M^\\prime(0;0;-\\sqrt{3})$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-01 04:00:18","option_type":"math","len":0},{"id":"5595","post_id":"7587","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong không gian t\u1ecda \u0111\u1ed9 Oxyz cho \u0111i\u1ec3m A(1; 1; 2). Tìm \u0111i\u1ec3m A' ∈ (Oxy) sao cho \u0111\u1ed9 dài \u0111o\u1ea1n th\u1eb3ng AA' ng\u1eafn nh\u1ea5t.<\/p>","options":["<strong>A.<\/strong> A'(–1; 1; 0)","<strong>B.<\/strong> A'(1; 1; 0)","<strong>C.<\/strong> A'(2; 2; 0)","<strong>D.<\/strong> A'(2; –1; 2)"],"correct":"2","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> A'(1; 1; 0)<\/span><\/p><p>AA' ng\u1eafn nh\u1ea5t khi \u0111i\u1ec3m A' là hình chi\u1ebfu \u0111i\u1ec3m A trên m\u1eb7t ph\u1eb3ng (Oxy)<\/p><p>⇒ A′(1;1;0)<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-01 04:03:26","option_type":"txt","len":2},{"id":"5597","post_id":"7587","mon_id":"1159285","chapter_id":"1159392","question":"<p>Trong không gian t\u1ecda \u0111\u1ed9 Oxyz cho \u0111i\u1ec3m <span class=\"math-tex\">$M(1;1-\\sqrt{2};2+\\sqrt{5})$<\/span>. Tìm \u0111i\u1ec3m M' ∈ (Oxz) sao cho \u0111\u1ed9 dài \u0111o\u1ea1n th\u1eb3ng MM' ng\u1eafn nh\u1ea5t.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$M^\\prime(1;1+\\sqrt{2};2-\\sqrt{5})$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$M^\\prime(1;1-\\sqrt{2};0)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$M^\\prime(0;1-\\sqrt{2};2+\\sqrt{5})$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$M^\\prime(1;0;2+\\sqrt{5})$<\/span>"],"correct":"4","level":"3","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D.<\/strong> <span class=\"math-tex\">$M^\\prime(1;0;2+\\sqrt{5})$<\/span><\/span><\/p><p>MM' ng\u1eafn nh\u1ea5t khi \u0111i\u1ec3m M′ là hình chi\u1ebfu \u0111i\u1ec3m M trên m\u1eb7t ph\u1eb3ng (Oxz).<\/p><p>Suy ra <span style=\"color:#16a085;\"><span class=\"math-tex\">$M^\\prime(1;0;2+\\sqrt{5})$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-09-01 04:07:52","option_type":"math","len":0}]}