{"common":{"save":0,"post_id":"6721","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7432","mon_id":"1158767","chapter_id":"1158892","post_id":"6721","question":"<p>Vect\u01a1 nào d\u01b0\u1edbi \u0111ây là m\u1ed9t vect\u01a1 pháp tuy\u1ebfn c\u1ee7a <strong>d: x – 2y + 2017 = 0<\/strong> ?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\overrightarrow{n}=(0;-2)$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\overrightarrow{n}=(1;-2)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\overrightarrow{n}=(-2;0)$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\overrightarrow{n}=(2;1)$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p><strong>d: x – 2y + 2017 = 0 <\/strong>nên có m\u1ed9t vect\u01a1 pháp tuy\u1ebfn là <span class=\"math-tex\">$\\overrightarrow{n}=(1;-2)$<\/span>.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$\\overrightarrow{n}=(1;-2)$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-10-01 22:05:48","option_type":"math","len":0},{"id":"7433","mon_id":"1158767","chapter_id":"1158892","post_id":"6721","question":"<p>Ph\u01b0\u01a1ng trình nào sau \u0111ây là ph\u01b0\u01a1ng trình tham s\u1ed1 c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng d: x – y + 3 = 0 ?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\begin{cases}x=t\\\\y=3+t\\end{cases}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\begin{cases}x=t\\\\y=3-t\\end{cases}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\begin{cases}x=t\\\\y=3t\\end{cases}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\begin{cases}x=2+t\\\\y=1+t\\end{cases}$<\/span>"],"correct":"1","level":"2","hint":"","answer":"<p>d: x – y + 3 = 0 nên d \u0111i qua \u0111i\u1ec3m (0; 3) và có m\u1ed9t vect\u01a1 pháp tuy\u1ebfn là <span class=\"math-tex\">$\\overrightarrow{n}=(1;-1)$<\/span>.<\/p><p>Suy ra d \u0111i qua \u0111i\u1ec3m (0; 3) và có m\u1ed9t vect\u01a1 ch\u1ec9 ph\u01b0\u01a1ng là <span class=\"math-tex\">$\\overrightarrow{u}=(1;1)$<\/span>. <\/p><p>Do \u0111ó ph\u01b0\u01a1ng trình tham s\u1ed1 c\u1ee7a d là <span class=\"math-tex\">$\\begin{cases}x=t\\\\y=3+t\\end{cases}$<\/span><\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> <span class=\"math-tex\">$\\begin{cases}x=t\\\\y=3+t\\end{cases}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-10-01 22:10:46","option_type":"math","len":0},{"id":"7435","mon_id":"1158767","chapter_id":"1158892","post_id":"6721","question":"<p>Xét v\u1ecb trí t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng <span style=\"color:#2980b9;\">m: x – 2y + 1 = 0<\/span> và <span style=\"color:#2980b9;\">n: –3x + 6y – 10 = 0<\/span>.<\/p>","options":["<strong>A. <\/strong>Trùng nhau ","<strong>B. <\/strong>Song song","<strong>C. <\/strong>Vuông góc v\u1edbi nhau ","<strong>D.<\/strong> C\u1eaft nhau nh\u01b0ng không vuông góc"],"correct":"2","level":"2","hint":"","answer":"<p>Xét v\u1ecb trí t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng <span style=\"color:#2980b9;\">m: x – 2y + 1 = 0<\/span> và <span style=\"color:#2980b9;\">n: –3x + 6y – 10 = 0<\/span>. <\/p><p>Ta có: <span class=\"math-tex\">$\\dfrac{1}{-3}=\\dfrac{-2}{6}\\ne\\dfrac{1}{-10}$<\/span> nên m song song v\u1edbi n.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B. <\/strong>Song song<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-10-01 22:14:34","option_type":"txt","len":3}]}