{"segment":[{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":"<span class='basic_left'>N\u1ebfu coi kim ph\u00fat v\u00e0 kim gi\u1edd l\u00e0 hai c\u1ea1nh c\u1ee7a g\u00f3c th\u00ec kim ph\u00fat v\u00e0 kim gi\u1edd t\u1ea1o th\u00e0nh g\u00f3c vu\u00f4ng l\u00fac: <\/span> ","select":[" A. 3 gi\u1edd "," B. 9 gi\u1edd "," C. 6 gi\u1edd "," D. 3 gi\u1edd ho\u1eb7c 9 gi\u1edd "],"hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-35.png' \/><\/center> <br\/> 3 gi\u1edd ho\u1eb7c 9h kim ph\u00fat v\u00e0 kim gi\u1edd t\u1ea1o th\u00e0nh g\u00f3c vu\u00f4ng. <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 D. <\/span><\/span> ","column":2}]}],"id_ques":1361},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"<span class='basic_left'>\u0110\u01b0\u1eddng th\u1eb3ng AB c\u1eaft \u0111o\u1ea1n th\u1eb3ng CD t\u1ea1i M. \u0110\u01b0\u1eddng th\u1eb3ng AB l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng CD khi: <\/span> ","select":["A. $AB \\perp CD$ (M kh\u00e1c A v\u00e0 B) ","B. $AB \\perp CD$ ","C. $AB \\perp CD$ v\u00e0 MC = MD ","D. $AB \\perp CD$ v\u00e0 MC + MD = CD "],"hint":"Xem \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng. ","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-36.png' \/><\/center> \u0110\u01b0\u1eddng th\u1eb3ng AB l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng CD khi: $AB \\perp CD$ v\u00e0 MC = MD <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":2}]}],"id_ques":1362},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":" Cho hai \u0111\u01b0\u1eddng th\u1eb3ng aa' v\u00e0 bb' vu\u00f4ng g\u00f3c v\u1edbi nhau t\u1ea1i O. <br\/> H\u00e3y ch\u1ec9 ra c\u00e2u sai trong c\u00e1c c\u00e2u sau: ","select":["A. $aa' \\perp bb' $ ","B. $\\widehat{aOb} = 90^{o} $ ","C. aa' v\u00e0 bb' kh\u00f4ng th\u1ec3 c\u1eaft nhau ","D. aa' l\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c b\u1eb9t $\\widehat{bOb'} $ "],"hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-05.png' \/><\/center> C\u00e2u sai l\u00e0 C. V\u00ec: <br\/> aa' v\u00e0 bb' vu\u00f4ng g\u00f3c v\u1edbi nhau t\u1ea1i O n\u00ean aa' v\u00e0 bb' c\u1eaft nhau t\u1ea1i O. <br\/><br\/><span class='basic_pink'> Ch\u1ecdn C. <\/span><\/span> ","column":2}]}],"id_ques":1363},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["t","f","t","t"]],"list":[{"point":5,"image":"","ques":" Cho hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' vu\u00f4ng g\u00f3c v\u1edbi nhau t\u1ea1i O. Khi \u0111\u00f3: <\/span> ","col_name":["","\u0110\u00fang","Sai"],"arr_ques":["Hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' c\u1eaft nhau t\u1ea1i O"," Hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' t\u1ea1o th\u00e0nh 2 g\u00f3c vu\u00f4ng","Hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' t\u1ea1o th\u00e0nh 4 g\u00f3c vu\u00f4ng","M\u1ed7i \u0111\u01b0\u1eddng th\u1eb3ng l\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c c\u1ee7a m\u1ed9t g\u00f3c b\u1eb9t "],"hint":"","explain":["<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-04.png' \/><\/center>"]}]}],"id_ques":1364},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"<span class='basic_left'>Cho \u0111o\u1ea1n th\u1eb3ng AB = 4cm. L\u1ea5y \u0111i\u1ec3m M n\u1eb1m gi\u1eefa A v\u00e0 B sao cho AM = 2cm. Qua M v\u1ebd \u0111\u01b0\u1eddng th\u1eb3ng $xy$ sao cho $\\widehat{AMx} = \\widehat{AMy} $ <br\/> K\u1ebft qu\u1ea3 n\u00e0o sau \u0111\u00e2y kh\u00f4ng \u0111\u00fang? <\/span> ","select":[" A. MA = MB = 2cm"," B. $xy \\perp AB$ "," C. AB l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a $xy$"," D. $\\widehat{AMx} = 90^{o} $ "],"hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-21.png' \/><\/center> <span class='basic_left'> Ta c\u00f3 \u0111i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B n\u00ean: $AM + MB = AB \\\\ \\Rightarrow MB = 4 - 2 = 2$ <br\/> Do \u0111\u00f3 MA = MB = 2cm (1)<br\/> M\u1eb7t kh\u00e1c, $\\widehat{AMx} + \\widehat{AMy} = 180^{o} $ (hai g\u00f3c k\u1ec1 b\u00f9) ; $\\widehat{AMx} = \\widehat{AMy} $ (theo \u0111\u1ec1 b\u00e0i) <br\/> N\u00ean $2\\widehat{AMx} = 180^{o} \\Rightarrow \\widehat{AMx} = 90^{o} $ hay $xy \\perp AB$ (2) <br\/> T\u1eeb (1) v\u00e0 (2) suy ra $xy$ l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB. <\/span> <br\/><br\/><span class='basic_pink'> K\u1ebft qu\u1ea3 kh\u00f4ng \u0111\u00fang l\u00e0 C. <br\/> AB l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a $xy$ <\/span><\/span> ","column":2}]}],"id_ques":1365},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"<span class='basic_left'> Hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' c\u1eaft nhau t\u1ea1i O. Om l\u00e0 tia ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c $\\widehat{xOy} $ , On l\u00e0 tia ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c $\\widehat{xOy'} $. <br\/> Ph\u00e1t bi\u1ec3u n\u00e0o sau \u0111\u00e2y l\u00e0 \u0111\u00fang? <\/span> ","select":[" A. $\\widehat{xOn} = 90^{o}$ "," B. $\\widehat{xOm} = 90^{o} $ "," C. $On \\perp Om$"," D. $\\widehat{nOm} $ l\u00e0 g\u00f3c b\u1eb9t"],"hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-19.png' \/><\/center> Ph\u00e1t bi\u1ec3u \u0111\u00fang l\u00e0 C. <br\/> V\u00ec Om, On l\u00e0 tia ph\u00e2n gi\u00e1c c\u1ee7a hai g\u00f3c k\u1ec1 b\u00f9 $\\widehat{xOy} $ v\u00e0 $\\widehat{xOy'} $ n\u00ean $On \\perp Om$ <\/span> <br\/><br\/><span class='basic_pink'> <\/span><\/span> ","column":2}]}],"id_ques":1366},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn c\u1ee5m t\u1eeb th\u00edch h\u1ee3p \u0111i\u1ec1n v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":"\u0110\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t \u0111o\u1ea1n th\u1eb3ng t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a n\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 ................... c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u1ea5y. ","select":[" A. \u0110\u01b0\u1eddng ph\u00e2n gi\u00e1c "," B. Trung \u0111i\u1ec3m"," C. Trung tuy\u1ebfn"," D. \u0110\u01b0\u1eddng trung tr\u1ef1c"],"hint":"","explain":"<span class='basic_left'>Theo \u0111\u1ecbnh ngh\u0129a \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng ta c\u00f3:<br\/>\u0110\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t \u0111o\u1ea1n th\u1eb3ng t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a n\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 <b>\u0111\u01b0\u1eddng trung tr\u1ef1c<\/b> c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u1ea5y.<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> D. \u0110\u01b0\u1eddng trung tr\u1ef1c<\/span><\/span> ","column":2}]}],"id_ques":1367},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"<span class='basic_left'> Hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' c\u1eaft nhau t\u1ea1i O v\u00e0 $\\widehat{xOy} = 60^{o} $. Tr\u00ean c\u00f9ng m\u1ed9t n\u1eeda m\u1eb7t ph\u1eb3ng ch\u1ee9a tia Oy' c\u00f3 b\u1edd l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u1ebd tia Oc vu\u00f4ng g\u00f3c v\u1edbi xx'. <br\/> G\u1ecdi Oc' l\u00e0 tia \u0111\u1ed1i c\u1ee7a tia Oc. S\u1ed1 \u0111o g\u00f3c $\\widehat{y'Oc'} $ l\u00e0? <\/span> ","select":[" A. $90^{o}$ "," B. $120^{o} $ "," C. $150^{o} $"," D. $70^{o} $"],"hint":"T\u00ednh s\u1ed1 \u0111o g\u00f3c $\\widehat{yOc} $ r\u1ed3i suy ra $\\widehat{y'Oc'} $","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-18.png' \/><\/center> <span class='basic_left'> Oc vu\u00f4ng g\u00f3c v\u1edbi xx' n\u00ean $\\widehat{xOc} = 90^{o}$ <br\/> Hai tia Oc v\u00e0 Oy n\u1eb1m tr\u00ean hai n\u1eeda m\u1eb7t ph\u1eb3ng \u0111\u1ed1i nhau b\u1edd l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng xx' n\u00ean tia Ox n\u1eb1m gi\u1eefa hai tia Oc v\u00e0 Oy, <br\/> do \u0111\u00f3: $ \\widehat{yOc} = \\widehat{yOx} + \\widehat{xOc} = 60^{o} + 90^{o} = 150^{o} $ <br\/> V\u00ec Oy v\u00e0 Oy' l\u00e0 hai tia \u0111\u1ed1i nhau v\u00e0 Oc v\u00e0 Oc' l\u00e0 hai tia \u0111\u1ed1i nhau n\u00ean: <br\/> $\\widehat{yOc} = \\widehat{y'Oc'} = 150^{o} $<\/span> <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":4}]}],"id_ques":1368},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"<span class='basic_left'> Cho g\u00f3c $\\widehat{AOB}$ b\u1eb1ng $160^{o} $. V\u1ebd c\u00e1c tia OM v\u00e0 ON n\u1eb1m gi\u1eefa hai tia OA v\u00e0 OB sao cho $OM \\perp OA, ON \\perp OB $ <br\/> S\u1ed1 \u0111o g\u00f3c $\\widehat{MON}$ l\u00e0: <\/span> ","select":[" A. $20^{o}$ "," B. $40^{o} $ "," C. $60^{o} $"," D. $90^{o} $"],"hint":"B\u01b0\u1edbc 1. T\u00ednh s\u1ed1 \u0111o g\u00f3c $\\widehat{AON}$ <br\/> B\u01b0\u1edbc 2. T\u00ednh g\u00f3c $\\widehat{MON}$","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-17.png' \/><\/center> <span class='basic_left'> Ta c\u00f3 $OM \\perp OA \\Rightarrow \\widehat{AOM} = 90^{o} \\\\ ON \\perp OB \\Rightarrow \\widehat{BON} = 90^{o} $ <br\/> Tia ON n\u1eb1m gi\u1eefa hai tia OA v\u00e0 OB n\u00ean $\\widehat{AON} + \\widehat{NOB} = \\widehat{AOB} \\\\ \\Rightarrow \\widehat{AON} = \\widehat{AOB} - \\widehat{NOB} = 160^{o} - 90^{o} = 70^{o} $ <br\/> C\u00f3 $ \\widehat{AON} = 70^{o} < \\widehat{AOM} = 90^{o} $ n\u00ean tia ON n\u1eb1m gi\u1eefa hai tia OA v\u00e0 OM suy ra: <br\/> $ \\widehat{AON} + \\widehat{NOM} = \\widehat{AOM} \\\\ \\Rightarrow \\widehat{NOM} = \\widehat{AOM} - \\widehat{AON} = 90^{o} - 70^{o} = 20^{o} $<\/span> <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":4}]}],"id_ques":1369},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"Cho Om l\u00e0 tia ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c vu\u00f4ng $\\widehat{xOy} $ v\u00e0 On l\u00e0 tia \u0111\u1ed1i c\u1ee7a tia Om th\u00ec: ","select":[" A. $\\widehat{xOn} = \\widehat{yOn} = 135^{o}$ "," B. $\\widehat{xOn} = \\widehat{yOn} = 90^{o}$"," C. $\\widehat{xOn} = 135^{o}; \\widehat{yOn} = 90^{o} $"," D. $\\widehat{xOn} = 120^{o}; \\widehat{yOn} = 60^{o} $"],"hint":"T\u00ednh s\u1ed1 \u0111o g\u00f3c $\\widehat{xOm} $ r\u1ed3i suy ra g\u00f3c $\\widehat{xOn} $","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-16.png' \/><\/center><span class='basic_left'>Om l\u00e0 tia ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c vu\u00f4ng $\\widehat{xOy} $ n\u00ean $\\widehat{xOm} = \\widehat{yOm} = 45^{o} $ <br\/> Tia On l\u00e0 tia \u0111\u1ed1i c\u1ee7a tia Om n\u00ean $\\widehat{nOm} = 180^{o} $ (g\u00f3c b\u1eb9t) <br\/> V\u1eady hai g\u00f3c $\\widehat{xOn}$ v\u00e0 $\\widehat{xOm}$ l\u00e0 hai g\u00f3c k\u1ec1 b\u00f9 $ \\Rightarrow \\widehat{xOn} + \\widehat{xOm} = 180^{o} \\\\ \\Rightarrow \\widehat{xOn} = 180^{o} - \\widehat{xOm} = 180^{o} - 45^{o} = 135^{o} $ <br\/> C\u0169ng ch\u1ee9ng minh t\u01b0\u01a1ng t\u1ef1 ta c\u00f3 $ \\widehat{yOn} = 135^{o} $ <br\/> V\u1eady $\\widehat{xOn} = \\widehat{yOn} = 135^{o}$ <\/span> <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":2}]}],"id_ques":1370},{"time":9,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["140"],["20"]]],"list":[{"point":5,"width":50,"type_input":"","ques":"<span class='basic_left'>Cho hai g\u00f3c k\u1ec1 $\\widehat{AOB}$ v\u00e0 $\\widehat{BOC}$ c\u00f3 t\u1ed5ng b\u1eb1ng $160^{o} $ v\u00e0 $\\widehat{AOB} - \\widehat{BOC} = 120^{o} $ <br\/> T\u00ednh: $\\widehat{AOB} = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} \\\\ \\widehat{BOC} = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o}$ <\/span> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-12.png' \/><\/center>","hint":"","explain":" <span class='basic_left'> Theo b\u00e0i ta c\u00f3: $\\widehat{AOB} + \\widehat{BOC} = 160^{o} \\\\ \\widehat{AOB} - \\widehat{BOC} = 120^{o} $ <br\/> Suy ra: $2\\widehat{AOB} = 160^{o} + 120^{o} = 280^{o} \\Rightarrow \\widehat{AOB} = 140^{o} \\\\ \\widehat{BOC} = 160^{o} - \\widehat{AOB} = 160^{o} - 140^{o} = 20^{o}$ <\/span> <br\/><br\/><span class='basic_pink'> \u0110\u00e1p s\u1ed1 l\u00e0 $140^{o}; 20^{o} $. <\/span><\/span> "}]}],"id_ques":1371},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"Cho h\u00ecnh sau, \u0111\u01b0\u1eddng th\u1eb3ng m l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a nh\u1eefng \u0111o\u1ea1n th\u1eb3ng n\u00e0o? <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-08.png' \/><\/center> ","select":["A. AB, CD"," B. AB, EF ","C. AB, CD, EF "],"hint":"","explain":"\u0110\u01b0\u1eddng th\u1eb3ng m l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a c\u00e1c \u0111o\u1ea1n th\u1eb3ng AB, CD, EF v\u00ec \u0111\u01b0\u1eddng th\u1eb3ng m vu\u00f4ng g\u00f3c v\u1edbi c\u00e1c \u0111o\u1ea1n th\u1eb3ng n\u00e0y t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a ch\u00fang. <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":3}]}],"id_ques":1372},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"Ch\u1ecdn h\u00ecnh v\u1ebd \u0111\u00fang: <br\/> Cho \u0111o\u1ea1n th\u1eb3ng CD d\u00e0i 3cm. H\u00e3y v\u1ebd \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u1ea5y. <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-06A.png' \/><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-06B.png' \/><\/center> ","select":["H\u00ecnh 1"," H\u00ecnh 2 ","H\u00ecnh 3"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> \u0110\u01b0\u1eddng th\u1eb3ng a l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng CD n\u1ebfu: <br\/>a $\\perp $ CD t\u1ea1i M v\u00e0 M l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng CD. <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> \u1ede h\u00ecnh 2. <br\/> C\u00f3 a $\\perp $ CD t\u1ea1i trung \u0111i\u1ec3m M n\u00ean a l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng CD. <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n l\u00e0 H\u00ecnh 2. <\/span><\/span> ","column":3}]}],"id_ques":1373},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"Khi \u0111\u01b0\u1eddng th\u1eb3ng AB vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng CD, ta k\u00ed hi\u1ec7u l\u00e0: ","select":["A. $AB \\perp CD $"," B. $AB \\equiv CD $ ","C. $AB \\neq CD $","D. $ AB \/\/ CD $"],"hint":"","explain":"\u0110\u01b0\u1eddng th\u1eb3ng AB vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng CD, ta k\u00ed hi\u1ec7u l\u00e0: $AB \\perp CD $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":2}]}],"id_ques":1374},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":"C\u00e2u n\u00e0o sau \u0111\u00e2y kh\u00f4ng \u0111\u00fang?<br\/>Khi xx' v\u00e0 yy' l\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c (v\u00e0 c\u1eaft nhau t\u1ea1i O) ta b\u1ea3o r\u1eb1ng: ","select":[" A. \u0110\u01b0\u1eddng th\u1eb3ng xx' vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng yy' (t\u1ea1i O)"," B. Hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' vu\u00f4ng g\u00f3c v\u1edbi nhau (t\u1ea1i O)"," C. \u0110\u01b0\u1eddng th\u1eb3ng yy' vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng xx' (t\u1ea1i O)"," D. \u0110\u01b0\u1eddng th\u1eb3ng xy vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng x'y' (t\u1ea1i O)"],"hint":"","explain":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-04.png' \/><\/center> C\u00e2u kh\u00f4ng \u0111\u00fang l\u00e0 D. V\u00ec: <br\/> xx' v\u00e0 yy' l\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c n\u00ean \u0111\u01b0\u1eddng th\u1eb3ng xy kh\u00f4ng vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng x'y' (t\u1ea1i O) ","column":1}]}],"id_ques":1375},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":"Hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' c\u1eaft nhau t\u1ea1i O. Ch\u00fang \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c khi: ","select":[" A. $\\widehat{xOy} = 90^{o} $"," B. $\\widehat{xOy} > 90^{o} $"," C. $\\widehat{xOy} < 90^{o} $ "," D. $\\widehat{xOx'} = 90^{o} $"],"hint":"Xem \u0111\u1ecbnh ngh\u0129a hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c. ","explain":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-04.png' \/><\/center> Hai \u0111\u01b0\u1eddng th\u1eb3ng xx' v\u00e0 yy' c\u1eaft nhau t\u1ea1i O.<br\/> Ch\u00fang \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c khi: <br\/> $\\widehat{xOy} = \\widehat{x'Oy} = \\widehat{x'Oy'} = \\widehat{xOy'}= 90^{o} $ <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 A. <\/span><\/span> ","column":2}]}],"id_ques":1376},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":"\u0110\u01b0\u1eddng th\u1eb3ng xy l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB n\u1ebfu: ","select":[" A. xy vu\u00f4ng g\u00f3c v\u1edbi AB "," B. xy vu\u00f4ng g\u00f3c v\u1edbi AB t\u1ea1i A ho\u1eb7c B"," C. xy \u0111i qua trung \u0111i\u1ec3m AB "," D. xy \u0111i qua trung \u0111i\u1ec3m AB v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi AB"],"hint":"Xem \u0111\u1ecbnh ngh\u0129a \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng ","explain":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-03.png' \/><\/center> \u0110\u01b0\u1eddng th\u1eb3ng xy l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB n\u1ebfu: <br\/> xy \u0111i qua trung \u0111i\u1ec3m AB v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi AB <br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 D. <\/span><\/span> ","column":1}]}],"id_ques":1377},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["f","t","t"]],"list":[{"point":5,"image":"","col_name":["","\u0110\u00fang","Sai"],"arr_ques":["N\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft nhau th\u00ec hai \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 vu\u00f4ng g\u00f3c v\u1edbi nhau","N\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft nhau v\u00e0 trong c\u00e1c g\u00f3c t\u1ea1o th\u00e0nh c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng th\u00ec hai \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 vu\u00f4ng g\u00f3c v\u1edbi nhau.","N\u1ebfu hai \u0111\u01b0\u1eddng vu\u00f4ng g\u00f3c v\u1edbi nhau th\u00ec hai \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 c\u1eaft nhau"],"hint":"","explain":["Sai. V\u00ed d\u1ee5 <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-02.png' \/><\/center>"," <br\/> \u0110\u00fang theo \u0111\u1ecbnh ngh\u0129a"," <br\/> \u0110\u00fang theo \u0111\u1ecbnh ngh\u0129a"]}]}],"id_ques":1378},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":"Hai \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 b vu\u00f4ng g\u00f3c v\u1edbi nhau \u0111\u01b0\u1ee3c k\u00ed hi\u1ec7u l\u00e0: ","select":[" $a \/\/ b $"," $a \\perp b$ "," $a \\equiv b$"],"hint":"","explain":"\u0110\u01b0\u1eddng th\u1eb3ng a v\u00e0 a' vu\u00f4ng g\u00f3c v\u1edbi nhau \u0111\u01b0\u1ee3c k\u00ed hi\u1ec7u l\u00e0: $a \\perp b$ ","column":3}]}],"id_ques":1379},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":"Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi nhau l\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng: ","select":[" A. c\u1eaft nhau"," B. c\u1eaft nhau v\u00e0 trong c\u00e1c g\u00f3c t\u1ea1o th\u00e0nh c\u00f3 m\u1ed9t g\u00f3c t\u00f9 "," C. c\u1eaft nhau v\u00e0 trong c\u00e1c g\u00f3c t\u1ea1o th\u00e0nh c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng "," D. c\u1eaft nhau v\u00e0 trong c\u00e1c g\u00f3c t\u1ea1o th\u00e0nh c\u00f3 m\u1ed9t g\u00f3c b\u1eb9t"],"hint":"Xem \u0111\u1ecbnh ngh\u0129a hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c. ","explain":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai2/lv1/img\/H7C12-01.png' \/><\/center> Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c l\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft nhau v\u00e0 trong c\u00e1c g\u00f3c t\u1ea1o th\u00e0nh c\u00f3 m\u1ed9t g\u00f3c vu\u00f4ng.<br\/><br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 C. <\/span><\/span> ","column":1}]}],"id_ques":1380}],"lesson":{"save":0,"level":1}}