{"common":{"save":0,"post_id":"6469","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6995","mon_id":"1158767","chapter_id":"1158892","post_id":"6469","question":"<p>Trong m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9 Oxy, cho hai \u0111i\u1ec3m <span class=\"math-tex\">$M(-2;1)$<\/span> và <span class=\"math-tex\">$N(-6;3)$<\/span>. M\u1ed9t vect\u01a1 ch\u1ec9 ph\u01b0\u01a1ng c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng MN là:<\/p>","options":["<strong>A. <span class=\"math-tex\">$(-2;4)$<\/span><\/strong>","<strong>B. <span class=\"math-tex\">$(4;-2)$<\/span><\/strong>","<strong>C. <span class=\"math-tex\">$(-4;-2)$<\/span><\/strong>","<strong>D. <span class=\"math-tex\">$(-2;-4)$<\/span><\/strong>"],"correct":"2","level":"1","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$\\overrightarrow{MN}=(-4;2)$<\/span>.<\/p><p>Suy ra \u0111\u01b0\u1eddng th\u1eb3ng MN có m\u1ed9t véct\u01a1 ch\u1ec9 ph\u01b0\u01a1ng là <span class=\"math-tex\">$\\overrightarrow{u}=(4;-2)$<\/span>.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B. <span class=\"math-tex\">$(4;-2)$<\/span><\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-31 09:23:30","option_type":"math","len":0},{"id":"6997","mon_id":"1158767","chapter_id":"1158892","post_id":"6469","question":"<p>Trong m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9 Oxy, \u0111\u01b0\u1eddng th\u1eb3ng d có m\u1ed9t véct\u01a1 pháp tuy\u1ebfn là <span class=\"math-tex\">$\\overrightarrow{n}=(-3;-1)$<\/span>. \u0110\u01b0\u1eddng th\u1eb3ng <span class=\"math-tex\">$\\Delta$<\/span> vuông góc v\u1edbi d có m\u1ed9t vect\u01a1 ch\u1ec9 ph\u01b0\u01a1ng là:<\/p>","options":["<strong>A. <span class=\"math-tex\">$(1;-3)$<\/span><\/strong>","<strong>B. <span class=\"math-tex\">$(-3;1)$<\/span><\/strong>","<strong>C. <span class=\"math-tex\">$(3;1)$<\/span><\/strong>","<strong>D. <span class=\"math-tex\">$(1;-3)$<\/span><\/strong>"],"correct":"3","level":"1","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$\\begin{cases}\\overrightarrow{n_d}=(-3;-1)\\\\\\Delta\\bot d\\end{cases}\\Rightarrow\\overrightarrow{u_{\\Delta}}=\\overrightarrow{n_d}=(-3;-1)$<\/span> hay ch\u1ecdn <span class=\"math-tex\">$-\\overrightarrow{u_{\\Delta}}=(3;1)$<\/span>.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>C. <span class=\"math-tex\">$(3;1)$<\/span><\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-31 09:33:52","option_type":"math","len":0},{"id":"7000","mon_id":"1158767","chapter_id":"1158892","post_id":"6469","question":"<p>Trong m\u1eb7t ph\u1eb3ng t\u1ecda \u0111\u1ed9 Oxy, \u0111\u01b0\u1eddng th\u1eb3ng d có m\u1ed9t véct\u01a1 ch\u1ec9 ph\u01b0\u01a1ng là <span class=\"math-tex\">$\\overrightarrow{u}=(2;-3)$<\/span>. \u0110\u01b0\u1eddng th\u1eb3ng <span class=\"math-tex\">$\\Delta$<\/span> song song v\u1edbi d có m\u1ed9t vect\u01a1 pháp tuy\u1ebfn là:<\/p>","options":["<strong>A. <\/strong><span class=\"math-tex\">$\\overrightarrow{n_1}=(2;3)$<\/span>","<strong>B. <\/strong><span class=\"math-tex\">$\\overrightarrow{n_2}=(-2;3)$<\/span>","<strong>C. <\/strong><span class=\"math-tex\">$\\overrightarrow{n_3}=(3;2)$<\/span>","<strong>D. <\/strong><span class=\"math-tex\">$\\overrightarrow{n_4}=(3;-2)$<\/span>"],"correct":"3","level":"1","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$\\begin{cases}\\overrightarrow{u_d}=(2;-3)\\\\\\Delta ||d\\end{cases}\\Rightarrow\\overrightarrow{u_{\\Delta}}=\\overrightarrow{u_d}=(2;-3)$<\/span>.<\/p><p>Suy ra <span class=\"math-tex\">$\\overrightarrow{n_{\\Delta}}=(3;2)$<\/span>.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>C. <\/strong><span class=\"math-tex\">$\\overrightarrow{n_3}=(3;2)$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-31 09:39:49","option_type":"math","len":0}]}