{"segment":[{"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" \u0110\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng l\u00e0 g\u00ec? ","select":["A. \u0110\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t \u0111o\u1ea1n th\u1eb3ng \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u1ea5y. ","B. \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 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u1ea5y. ","C. \u0110\u01b0\u1eddng th\u1eb3ng \u0111i qua trung \u0111i\u1ec3m c\u1ee7a m\u1ed9t \u0111o\u1ea1n th\u1eb3ng \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u1ea5y.","D. \u0110\u01b0\u1eddng th\u1eb3ng c\u1eaft m\u1ed9t \u0111o\u1ea1n th\u1eb3ng t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a n\u00f3 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng \u1ea5y. "],"hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-01.png' \/> <\/center> Nh\u00ecn h\u00ecnh v\u1ebd ta th\u1ea5y: <br\/> I l\u00e0 trung \u0111i\u1ec3m c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB. \u0110\u01b0\u1eddng th\u1eb3ng xy vu\u00f4ng g\u00f3c v\u1edbi \u0111o\u1ea1n th\u1eb3ng AB t\u1ea1i I. <br\/> Ta n\u00f3i: \u0110\u01b0\u1eddng th\u1eb3ng xy l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB. <br\/> <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0 B. <\/span> ","column":1}],"id_ques":1541},{"title":"N\u1ed1i t\u1eeb ho\u1eb7c c\u1ee5m t\u1eeb \u1edf c\u1ed9t b\u00ean tr\u00e1i v\u1edbi c\u1ed9t b\u00ean ph\u1ea3i \u0111\u1ec3 \u0111\u01b0\u1ee3c c\u00e2u ho\u00e0n ch\u1ec9nh","title_trans":"","audio":"","temp":"matching","correct":[["2","4","3","1"]],"list":[{"point":10,"image":"","left":["Hai tia ph\u00e2n gi\u00e1c c\u1ee7a hai g\u00f3c k\u1ec1 b\u00f9 ...","N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t trong hai \u0111\u01b0\u1eddng th\u1eb3ng song song th\u00ec...","N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1ed9t trong hai \u0111\u01b0\u1eddng th\u1eb3ng song song th\u00ec...","N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft hai \u0111\u01b0\u1eddng th\u1eb3ng song song th\u00ec ... "],"right":["hai g\u00f3c \u0111\u1ed3ng v\u1ecb b\u1eb1ng nhau","t\u1ea1o th\u00e0nh m\u1ed9t g\u00f3c vu\u00f4ng","n\u00f3 song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng kia","n\u00f3 c\u0169ng vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng kia"],"top":100,"hint":"","explain":"Ta c\u00f3 c\u00e1c \u0111\u1ecbnh l\u00fd: <br\/> Hai tia ph\u00e2n gi\u00e1c c\u1ee7a hai g\u00f3c k\u1ec1 b\u00f9 t\u1ea1o th\u00e0nh m\u1ed9t g\u00f3c vu\u00f4ng. <br\/> N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1ed9t trong hai \u0111\u01b0\u1eddng th\u1eb3ng song song th\u00ec n\u00f3 c\u0169ng vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng kia. <br\/> N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1ed9t trong hai \u0111\u01b0\u1eddng th\u1eb3ng song song th\u00ec n\u00f3 song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng kia. <br\/> N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft hai \u0111\u01b0\u1eddng th\u1eb3ng song song th\u00ec hai g\u00f3c \u0111\u1ed3ng v\u1ecb b\u1eb1ng nhau. "}],"id_ques":1542},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["f","t","t","f"]],"list":[{"point":10,"image":"","col_name":["","\u0110\u00fang","Sai"],"arr_ques":["Hai g\u00f3c c\u00f3 chung \u0111\u1ec9nh m\u00e0 b\u1eb1ng nhau th\u00ec \u0111\u1ed1i \u0111\u1ec9nh.","N\u1ebfu hai \u0111\u01b0\u1eddng th\u1eb3ng a v\u00e0 b vu\u00f4ng g\u00f3c v\u1edbi nhau t\u1ea1i M th\u00ec m\u1ed7i \u0111\u01b0\u1eddng th\u1eb3ng a ho\u1eb7c b l\u00e0 ph\u00e2n gi\u00e1c c\u1ee7a m\u1ed9t g\u00f3c b\u1eb9t c\u00f3 \u0111\u1ec9nh M.","\u0110\u01b0\u1eddng th\u1eb3ng a song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng b n\u1ebfu a, b c\u1eaft \u0111\u01b0\u1eddng th\u1eb3ng d th\u00ec trong c\u00e1c g\u00f3c t\u1ea1o th\u00e0nh c\u00f3 m\u1ed9t c\u1eb7p g\u00f3c so le ngo\u00e0i b\u1eb1ng nhau.","Hai \u0111\u01b0\u1eddng th\u1eb3ng song song l\u00e0 hai \u0111\u01b0\u1eddng th\u1eb3ng kh\u00f4ng c\u1eaft nhau."],"hint":"","explain":["Sai, V\u00ed d\u1ee5 <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-02.png' \/> <\/center>","<br\/> \u0110\u00fang","<br\/> \u0110\u00fang","<br\/> Sai. V\u00ec ch\u00fang c\u00f3 th\u1ec3 tr\u00f9ng nhau"]}],"id_ques":1543},{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":" Cho \u0111\u01b0\u1eddng th\u1eb3ng xy v\u00e0 \u0111i\u1ec3m O. Qua O k\u1ebb hai \u0111\u01b0\u1eddng th\u1eb3ng $d_{1}$ v\u00e0 $d_{2}$ c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi xy th\u00ec hai \u0111\u01b0\u1eddng th\u1eb3ng $d_{1}$ v\u00e0 $d_{2}$ ph\u00e2n bi\u1ec7t hay tr\u00f9ng nhau? ","select":["Ph\u00e2n bi\u1ec7t","Tr\u00f9ng nhau"],"hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-03.png' \/> <\/center> <br\/> Qua O k\u1ebb hai \u0111\u01b0\u1eddng th\u1eb3ng $d_{1}$ v\u00e0 $d_{2}$ c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi xy th\u00ec hai \u0111\u01b0\u1eddng th\u1eb3ng $d_{1}$ v\u00e0 $d_{2}$ tr\u00f9ng nhau. ","column":2}],"id_ques":1544},{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["70"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" Cho h\u00ecnh v\u1ebd bi\u1ebft a \/\/ b, $\\widehat{A} = 30^{o}, \\widehat{B} = 40^{o} $ <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-04A.png' \/><\/center> S\u1ed1 \u0111o g\u00f3c $\\widehat{AOB} $ l\u00e0 : $\\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} $ <\/span> ","hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-04B.png' \/><\/center> <span class='basic_left'> Qua O k\u1ebb \u0111\u01b0\u1eddng th\u1eb3ng Om song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng a. <br\/> V\u00ec Om \/\/ a , a \/\/ b n\u00ean Om \/\/ b <br\/> V\u00ec Om \/\/ b n\u00ean $ \\widehat{O_{1}} = \\widehat{B} = 40^{o} $ (hai g\u00f3c so le trong) <br\/> V\u00ec Om \/\/ a n\u00ean $\\widehat{O_{2}} = \\widehat{A} = 30^{o} $ (hai g\u00f3c so le trong) <br\/> Suy ra $\\widehat{AOB} = \\widehat{O_{1}} + \\widehat{O_{2}} = 40^{o} + 30^{o} = 70^{o} $ <\/span> <br\/><span class='basic_left'><span class='basic_pink'> V\u1eady $\\widehat{AOB} = 70^{o} $ <\/span><\/span> <br\/><\/span>"}],"id_ques":1545},{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"\u0110\u00e2y l\u00e0 g\u00f3i 2 c\u00e2u h\u1ecfi. ","temp":"fill_the_blank","correct":[[["60"],["110"],["70"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" Cho h\u00ecnh v\u1ebd bi\u1ebft d \/\/ d' \/\/ d'' v\u00e0 hai g\u00f3c $ \\widehat{C_{2}} = 60^{o}, \\widehat{D_{1}} = 110^{o}$ <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-05.png' \/><\/center> <br\/> <u> C\u00e2u a: <\/u> T\u00ednh: $ \\widehat{E_{1}} = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} \\\\ \\widehat{G_{2}} = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} \\\\ \\widehat{G_{3}} = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} $ <\/span> ","hint":"","explain":" <span class='basic_left'> Ta c\u00f3 d' \/\/ d'' n\u00ean $ \\widehat{E_{1}} = \\widehat{C_{2}} = 60^{o} $ (so le trong) <br\/> V\u00ec d' \/\/ d'' n\u00ean $ \\widehat{G_{2}} = \\widehat{D_{1}} = 110^{o} $ (\u0111\u1ed3ng v\u1ecb) <br\/> L\u1ea1i c\u00f3 $\\widehat{G_{2}} + \\widehat{G_{3}} = 180^{o} $ (k\u1ec1 b\u00f9) <br\/> Suy ra $\\widehat{G_{3}} = 180^{o} - 110^{o} = 70^{o} $ <\/span> <br\/> <br\/> <span class='basic_pink'> V\u1eady $\\widehat{E_{1}} = 60^{o} \\\\ \\widehat{G_{2}} = 110^{o} \\\\ \\widehat{G_{3}} = 70^{o} $ <\/span><\/span> <br\/>"}],"id_ques":1546},{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["110"],["60"],["70"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":"Cho h\u00ecnh v\u1ebd bi\u1ebft d \/\/ d' \/\/ d'' v\u00e0 hai g\u00f3c $ \\widehat{C_{2}} = 60^{o}, \\widehat{D_{1}} = 110^{o}$ <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-05.png' \/><\/center> <u> C\u00e2u b: <\/u> T\u00ednh: $ \\widehat{D_{4}} = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} \\\\ \\widehat{A_{5}} = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} \\\\ \\widehat{B_{6}} = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} $ <\/span> ","hint":"","explain":" <span class='basic_left'> Ta c\u00f3 $ \\widehat{D_{4}} = \\widehat{D_{1}} = 110^{o} $ (\u0111\u1ed1i \u0111\u1ec9nh) <br\/> V\u00ec d \/\/ d' n\u00ean $\\widehat{A_{5}} = \\widehat{C_{1}} $ (\u0111\u1ed3ng v\u1ecb), m\u00e0 $\\widehat{C_{1}} = \\widehat{C_{2}} = 60^{o} $ (\u0111\u1ed1i \u0111\u1ec9nh) suy ra $\\widehat{A_{5}} = 60^{o} $ <br\/> V\u00ec d \/\/ d'' n\u00ean $\\widehat{B_{6}} = \\widehat{G_{3}} = 70^{o} $ (hai g\u00f3c \u0111\u1ed3ng v\u1ecb) <\/span> <br\/><span class='basic_left'><span class='basic_pink'> V\u1eady $\\widehat{D_{4}} = 110^{o} \\\\ \\widehat{A_{5}} = 60^{o} \\\\ \\widehat{B_{6}} = 70^{o} $ <\/span><\/span> <br\/><\/span>"}],"id_ques":1547},{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["95"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" Cho h\u00ecnh v\u1ebd <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-06.png' \/><\/center> T\u00ednh: $ x = \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} $ <\/span> ","hint":"","explain":" <span class='basic_left'> Ta c\u00f3 $\\widehat{A_{1}} + \\widehat{A_{2}} = 180^{o} $ (hai g\u00f3c k\u1ec1 b\u00f9) <br\/> n\u00ean $\\widehat{A_{2}} = 180^{o} - 123^{o} = 57^{o} $ <br\/> Suy ra $ \\widehat{A_{2}} = \\widehat{B_{1}} (= 57^{o}) $, m\u00e0 hai g\u00f3c \u1edf v\u1ecb tr\u00ed so le trong c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng a, b c\u1eaft \u0111\u01b0\u1eddng th\u1eb3ng c n\u00ean a \/\/ b. <br\/> Do a \/\/ b n\u00ean $\\widehat{D_{1}} = \\widehat{C_{1}} = 85^{o} $ (hai g\u00f3c so le trong) <br\/> M\u1eb7t kh\u00e1c $\\widehat{D_{1}} + \\widehat{D_{2}} = 180^{o} $ (hai g\u00f3c k\u1ec1 b\u00f9) n\u00ean $\\widehat{D_{2}} = 180^{o} - 85^{o} = 95^{o} $ <\/span> <br\/><span class='basic_left'><span class='basic_pink'> V\u1eady $x = 95^{o} $ <\/span><\/span> <br\/><\/span>"}],"id_ques":1548},{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"\u0110\u00e2y l\u00e0 g\u00f3i 2 c\u00e2u h\u1ecfi. ","temp":"fill_the_blank","correct":[[["90"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":" Cho $\\widehat{xOy} = 90^{o} $. Tr\u00ean Ox l\u1ea5y OA = 4 cm, tr\u00ean Oy l\u1ea5y OB = 2,5 cm. Qua A k\u1ebb \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi Ox. Qua B k\u1ebb \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi Oy. Hai \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 c\u1eaft nhau \u1edf C. <br\/> <u> C\u00e2u a: <\/u> S\u1ed1 \u0111o g\u00f3c $\\widehat{ACB} $ l\u00e0: $ \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} $ <\/span> ","hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-07.png' \/><\/center> <span class='basic_left'> Ta c\u00f3 $Oy \\perp Ox, AC \\perp Ox $ (gi\u1ea3 thi\u1ebft) n\u00ean Oy \/\/ AC <br\/> V\u00ec $Oy \\perp BC$ (gi\u1ea3 thi\u1ebft), Oy \/\/ AC n\u00ean $AC \\perp BC$ hay $\\widehat{ACB} = 90^{o} $ <\/span> <br\/><span class='basic_left'><span class='basic_pink'> V\u1eady $\\widehat{ACB} = 90^{o} $ <\/span><\/span> <br\/><\/span>"}],"id_ques":1549},{"title":"\u0110i\u1ec1n t\u1eeb th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"\u0110\u00e2y l\u00e0 g\u00f3i 2 c\u00e2u h\u1ecfi. ","temp":"fill_the_blank","correct":[[["45"]]],"list":[{"point":10,"width":40,"content":"","type_input":"","ques":"Cho $\\widehat{xOy} = 90^{o} $. Tr\u00ean Ox l\u1ea5y OA = 4 cm, tr\u00ean Oy l\u1ea5y OB = 2,5 cm. Qua A k\u1ebb \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi Ox. Qua B k\u1ebb \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi Oy. Hai \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 c\u1eaft nhau \u1edf C. <br\/><u> C\u00e2u b: <\/u> K\u1ebb tia ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c OAC, tia n\u00e0y c\u1eaft BC t\u1ea1i D. <br\/> S\u1ed1 \u0111o c\u1ee7a g\u00f3c $\\widehat{ADC} $ l\u00e0: $ \\FormInput[40][bl_elm_true basic_elm basic_blank basic_blank_part]{}^{o} $ <\/span> ","hint":"","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai8/lv3/img\/H7C18-07B.png' \/><\/center> <span class='basic_left'> Ta c\u00f3 AD l\u00e0 ph\u00e2n gi\u00e1c c\u1ee7a g\u00f3c OAC n\u00ean $\\widehat{OAD} = \\dfrac{1}{2} . \\widehat{OAC} = \\dfrac{90^{o}}{2} = 45^{o} $ <br\/> V\u00ec $Ox \\perp Oy, BC \\perp Oy $ n\u00ean Ox \/\/ BC <br\/> $\\Rightarrow \\widehat{ADC} = \\widehat{OAD} $ (so le trong) <br\/> V\u1eady $\\widehat{ADC} = 45^{o} $ <\/span> <br\/><span class='basic_left'><span class='basic_pink'> V\u1eady $\\widehat{ADC} = 45^{o} $ <\/span><\/span> <br\/><\/span>"}],"id_ques":1550}],"id_ques":0}],"lesson":{"save":1,"level":3,"time":44}}