{"common":{"save":0,"post_id":"6496","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6921","mon_id":"1158767","chapter_id":"1158892","post_id":"6496","question":"<p>Trong m\u0103\u0323t ph\u0103\u0309ng to\u0323a \u0111ô\u0323 Oxy, cho elip (E) \u0111i qua \u0111i\u1ec3m M(0; 2). Bi\u1ebft kho\u1ea3ng cách l\u1edbn nh\u1ea5t gi\u1eefa hai \u0111i\u1ec3m b\u1ea5t kì trên (E) b\u1eb1ng 8. Ph\u01b0\u01a1ng trình chính t\u1eafc c\u1ee7a elip là<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{9}+\\dfrac{y^2}{16}=1$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{16}+\\dfrac{y^2}{4}=1$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{9}+\\dfrac{y^2}{64}=1$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{4}+\\dfrac{y^2}{16}=1$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p>M(0; 2) ∈ (E) ⇒ <span class=\"math-tex\">$\\dfrac{0^2}{a^2}+\\dfrac{2^2}{b^2}=1$<\/span> ⇒ b = 2.<\/p><p>Kho\u1ea3ng cách l\u01a1\u0301n nhâ\u0301t gi\u01b0\u0303a hai \u0111iê\u0309m bâ\u0301t ki\u0300 trên (E) b\u0103\u0300ng 8 ⇒ a = 4.<\/p><p>Ph\u01b0\u01a1ng trình chính t\u1eafc c\u1ee7a (E): <span class=\"math-tex\">$\\dfrac{x^2}{16}+\\dfrac{y^2}{4}=1$<\/span>.<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"> <strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{16}+\\dfrac{y^2}{4}=1$<\/span> .<\/span><br \/>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 09:07:37","option_type":"math","len":0},{"id":"6922","mon_id":"1158767","chapter_id":"1158892","post_id":"6496","question":"<p>D\u1ea1ng chính t\u1eafc c\u1ee7a hypebol là<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{a^2}-\\dfrac{y^2}{b^2}=1$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{a^2}+\\dfrac{y^2}{b^2}=1$<\/span>","<strong>C. <\/strong>y² = 2px","<strong>D. <\/strong>y = px²"],"correct":"1","level":"2","hint":"","answer":"<p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{a^2}-\\dfrac{y^2}{b^2}=1$<\/span> .<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 09:10:08","option_type":"math","len":0},{"id":"6924","mon_id":"1158767","chapter_id":"1158892","post_id":"6496","question":"<p>Hypebol <span class=\"math-tex\">$\\dfrac{x^2}{25}-\\dfrac{y^2}{16}=1$<\/span> có hai tiêu \u0111i\u1ec3m là <\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$F_1(-5;0),F_2(5;0)$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$F_1(-\\sqrt{41};0),F_2(\\sqrt{41};0)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$F_1(-3;0),F_2(3;0)$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$F_1(-4;0),F_2(4;0)$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p><span class=\"math-tex\">$\\dfrac{x^2}{25}-\\dfrac{y^2}{16}=1$<\/span> ⇒ <span class=\"math-tex\">$\\begin{cases}a^2=25\\\\b^2=16\\\\c^2=a^2+b^2=41\\end{cases}$<\/span> ⇒ <span class=\"math-tex\">$\\begin{cases}a=5\\\\b=3\\\\c=\\sqrt{41}\\end{cases}$<\/span> .<\/p><p>Các tiêu \u0111i\u1ec3m là <span class=\"math-tex\">$F_1(-\\sqrt{41};0),F_2(\\sqrt{41};0)$<\/span> .<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"> <strong>B.<\/strong> <span class=\"math-tex\">$F_1(-\\sqrt{41};0),F_2(\\sqrt{41};0)$<\/span> .<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 09:14:53","option_type":"math","len":0}]}
