{"common":{"save":0,"post_id":"6455","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6890","mon_id":"1158767","chapter_id":"1158890","post_id":"6455","question":"<p>Trong h\u1ec7 t\u1ecda \u0111\u1ed9 Oxy, cho ba \u0111i\u1ec3m A(1; 1), B(3; 2), C(6; 5). T&igrave;m t\u1ecda \u0111\u1ed9 \u0111i\u1ec3m D \u0111\u1ec3 t\u1ee9 gi&aacute;c ABCD l&agrave; h&igrave;nh b&igrave;nh h&agrave;nh.<\/p>","options":["<strong>A.<\/strong> D(4; 3)","<strong>B.<\/strong> D(3; 4)","<strong>C.<\/strong> D(4; 4)","<strong>D.<\/strong> D(8; 6)"],"correct":"3","level":"3","hint":"","answer":"<p>G\u1ecdi D(x; y). Ta c&oacute;:&nbsp;<span class=\"math-tex\">$\\overrightarrow{AB}=(2; 1), \\overrightarrow{DC}=(6-x; 5-y)$<\/span>&nbsp;.<\/p><p>T\u1ee9 gi&aacute;c ABCD l&agrave; h&igrave;nh b&igrave;nh h&agrave;nh&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{AB}=\\overrightarrow{DC}$<\/span><\/p><p>&hArr;&nbsp;<span class=\"math-tex\">$\\begin{cases}2=6-x\\\\1=5-y\\end{cases}$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\begin{cases}x=4\\\\y=4\\end{cases}$<\/span>&nbsp;&rArr; D(4; 4).<\/p><p>\u0110&aacute;p &aacute;n \u0111&uacute;ng l&agrave;&nbsp; &nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong> D(4; 4)<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 05:33:38","option_type":"txt","len":0},{"id":"6891","mon_id":"1158767","chapter_id":"1158890","post_id":"6455","question":"<p>Trong h\u1ec7 t\u1ecda \u0111\u1ed9 Oxy, cho ba \u0111i\u1ec3m A(0;&nbsp;&ndash;3), B(2; 1), D(5; 5). T&igrave;m t\u1ecda \u0111\u1ed9 \u0111i\u1ec3m C \u0111\u1ec3 t\u1ee9 gi&aacute;c ABCD l&agrave; h&igrave;nh b&igrave;nh h&agrave;nh.<\/p>","options":["<strong>A.<\/strong> C(3; 1)","<strong>B.<\/strong> C(&ndash;3; &ndash;1)","<strong>C.<\/strong> C(7; 9)","<strong>D.<\/strong> C(&ndash;7; &ndash;9)"],"correct":"3","level":"3","hint":"","answer":"<p>G\u1ecdi C(x; y). Ta c&oacute;:&nbsp;<span class=\"math-tex\">$\\overrightarrow{AB}=(2; 4), \\overrightarrow{DC}=(x-5;y-5)$<\/span>&nbsp;.<\/p><p>T\u1ee9 gi&aacute;c ABCD l&agrave; h&igrave;nh b&igrave;nh h&agrave;nh&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\overrightarrow{AB}=\\overrightarrow{DC}$<\/span><\/p><p>&hArr;&nbsp;<span class=\"math-tex\">$\\begin{cases}2=x-5\\\\4=y-5\\end{cases}$<\/span>&nbsp;&hArr;&nbsp;<span class=\"math-tex\">$\\begin{cases}x=7\\\\y=9\\end{cases}$<\/span>&nbsp;&rArr; C(7; 9).<\/p><p>\u0110&aacute;p &aacute;n \u0111&uacute;ng l&agrave;&nbsp; &nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong> C(7; 9)<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 05:35:47","option_type":"txt","len":2},{"id":"6894","mon_id":"1158767","chapter_id":"1158890","post_id":"6455","question":"<p>Trong h\u1ec7 t\u1ecda \u0111\u1ed9 Oxy cho h&igrave;nh ch\u1eef nh\u1eadt ABCD c&oacute; A(0; 3), D(2; 1) v&agrave; I(&ndash;1; 0) l&agrave; t&acirc;m c\u1ee7a h&igrave;nh ch\u1eef nh\u1eadt. T&igrave;m t\u1ecda \u0111\u1ed9 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh BC.<\/p>","options":["<strong>A.<\/strong> (1; 2)","<strong>B.<\/strong> (&ndash;3; &ndash;2)","<strong>C.<\/strong> (&ndash;2; &ndash;3)","<strong>D.<\/strong> (&ndash;4; &ndash;1)"],"correct":"2","level":"3","hint":"","answer":"<p>G\u1ecdi M l&agrave; t\u1ecda \u0111\u1ed9 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh&nbsp;AD&nbsp;&rArr; M(1; 2).<\/p><p>G\u1ecdi N<span class=\"math-tex\">$\\left(x_N;y_N\\right)$<\/span>&nbsp;l&agrave; t\u1ecda \u0111\u1ed9 trung \u0111i\u1ec3m c\u1ee7a c\u1ea1nh BC.<\/p><p>Do I l&agrave; t&acirc;m c\u1ee7a h&igrave;nh ch\u1eef nh\u1eadt&nbsp;&rArr; I l&agrave; trung \u0111i\u1ec3m c\u1ee7a MN.<\/p><p>Suy ra&nbsp;<span class=\"math-tex\">$\\begin{cases}x_N=2x_I-x_M=-3\\\\y_N=2y_I-y_M=-2\\end{cases}$<\/span>&nbsp;&rArr; N(&ndash;3;&nbsp;&ndash;2).<\/p><p>\u0110&aacute;p &aacute;n \u0111&uacute;ng l&agrave;&nbsp; <span style=\"color:#16a085;\">&nbsp;<strong>B.<\/strong> (&ndash;3;&nbsp;&ndash;2).<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-30 05:44:27","option_type":"txt","len":2}]}