{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 ho\u1eb7c ch\u1eef th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["B"],["C"],["4"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"<span class='basic_left'>V\u1ebd tam gi\u00e1c ABC, bi\u1ebft ba c\u1ea1nh BC = 7cm, AB = 5cm, AC = 4cm.<br\/><b>C\u00e1ch v\u1ebd:<\/b><br\/>+ V\u1ebd \u0111o\u1ea1n th\u1eb3ng BC = 7cm<br\/>+ V\u1ebd cung tr\u00f2n t\u00e2m _input_, b\u00e1n k\u00ednh 5cm<br\/>+ V\u1ebd cung tr\u00f2n t\u00e2m _input_, b\u00e1n k\u00ednh _input_cm.<br\/>+ L\u1ea5y m\u1ed9t giao \u0111i\u1ec3m c\u1ee7a hai cung tr\u00ean, g\u1ecdi giao \u0111i\u1ec3m \u0111\u00f3 l\u00e0 A<br\/>+ V\u1ebd \u0111o\u1ea1n th\u1eb3ng AB, AC, ta c\u00f3 $\\triangle$ABC.<\/span>","hint":"","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/><span class='basic_left'><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K101.png' \/><\/center><b>C\u00e1ch v\u1ebd:<\/b><br\/>+ V\u1ebd \u0111o\u1ea1n th\u1eb3ng BC = 7cm<br\/>+ V\u1ebd cung tr\u00f2n t\u00e2m B, b\u00e1n k\u00ednh 5cm<br\/>+ V\u1ebd cung tr\u00f2n t\u00e2m C, b\u00e1n k\u00ednh 4cm.<br\/>+ L\u1ea5y m\u1ed9t giao \u0111i\u1ec3m c\u1ee7a hai cung tr\u00ean, g\u1ecdi giao \u0111i\u1ec3m \u0111\u00f3 l\u00e0 A<br\/>+ V\u1ebd \u0111o\u1ea1n th\u1eb3ng AB, AC, ta c\u00f3 $\\triangle$ABC.<br\/>V\u1eady s\u1ed1 ho\u1eb7c ch\u1eef c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng theo th\u1ee9 t\u1ef1 t\u1eeb tr\u00ean xu\u1ed1ng d\u01b0\u1edbi, t\u1eeb tr\u00e1i sang ph\u1ea3i l\u00e0:<span class='basic_pink'> B, C, 4<\/span><\/span> <\/span> <br\/> "}]}],"id_ques":2221},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":10,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K103.png' \/><\/center> Cho h\u00ecnh v\u1ebd nh\u01b0 tr\u00ean, c\u00e1c \u0111i\u1ec3m c\u00e1ch \u0111\u1ec1u \u0111i\u1ec3m O l\u00e0:","select":["A. \u0110i\u1ec3m A v\u00e0 B","B. \u0110i\u1ec3m A v\u00e0 C","C. \u0110i\u1ec3m C, D","D. \u0110i\u1ec3m A, B, C, D"],"hint":"","explain":" <span class='basic_left'><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K103.png' \/><\/center> C\u00e1c \u0111i\u1ec3m A, B, C, D n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O, b\u00e1n k\u00ednh R n\u00ean OA = OB = OC = OD = R<br\/>Hay b\u1ed1n \u0111i\u1ec3m A, B, C, D c\u00e1ch \u0111\u1ec1u \u0111i\u1ec3m O.<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>D. \u0110i\u1ec3m A, B, C, D<\/span><\/span>","column":2}]}],"id_ques":2222},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K104.png' \/><\/center> Cho h\u00ecnh v\u1ebd nh\u01b0 tr\u00ean, s\u1ed1 cung tr\u00f2n l\u00e0:","select":["A. 6 cung tr\u00f2n","B. 12 cung tr\u00f2n","C. 15 cung tr\u00f2n","D. 18 cung tr\u00f2n"],"hint":"","explain":" <span class='basic_left'><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K104.png' \/><\/center> C\u00e1c d\u00e2y cung c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n t\u00e2m O l\u00e0: AB, BC, CA<br\/>H\u00ecnh tr\u00ean c\u00f3 3 d\u00e2y cung n\u00ean s\u1ed1 cung tr\u00f2n l\u00e0: 3 . 2 = 6 (cung tr\u00f2n)<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'> A. 6 cung tr\u00f2n<\/span><\/span><\/span><span class='basic_left'><span class='basic_green'>Nh\u1eadn x\u00e9t:<\/span><br\/>Cho n \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n. V\u1ebd c\u00e1c d\u00e2y c\u00f3 hai \u0111\u1ea7u l\u00e0 hai trong n \u0111i\u1ec3m \u0111\u00e3 cho. Khi \u0111\u00f3:<br\/>+ S\u1ed1 d\u00e2y t\u1ea1o th\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: $\\dfrac{n.(n - 1)}{2}$<br\/>+ S\u1ed1 cung tr\u00f2n \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: n . (n - 1) ( ho\u1eb7c s\u1ed1 cung tr\u00f2n = s\u1ed1 d\u00e2y cung . 2)<\/span>","column":2}]}],"id_ques":2223},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":"Tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (O) ta l\u1ea5y m\u1ed9t s\u1ed1 \u0111i\u1ec3m. V\u1ebd c\u00e1c d\u00e2y cung c\u00f3 hai \u0111\u1ea7u l\u00e0 hai trong c\u00e1c s\u1ed1 \u0111i\u1ec3m \u0111\u00e3 cho. Bi\u1ebft r\u1eb1ng c\u00f3 t\u1ea5t c\u1ea3 30 d\u00e2y cung. T\u00ednh s\u1ed1 cung tr\u00f2n \u0111\u00e3 t\u1ea1o th\u00e0nh.","select":["A. 30 cung tr\u00f2n","B. 45 cung tr\u00f2n","C. 60 cung tr\u00f2n","D. 70 cung tr\u00f2n"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Cho n \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n. V\u1ebd c\u00e1c d\u00e2y c\u00f3 hai \u0111\u1ea7u l\u00e0 hai trong n \u0111i\u1ec3m \u0111\u00e3 cho. Khi \u0111\u00f3:<br\/>+ S\u1ed1 d\u00e2y t\u1ea1o th\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: $\\dfrac{n.(n - 1)}{2}$<br\/>+ S\u1ed1 cung tr\u00f2n \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: n . (n - 1) ( ho\u1eb7c s\u1ed1 cung tr\u00f2n = s\u1ed1 d\u00e2y cung . 2)<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> S\u1ed1 cung tr\u00f2n t\u1ea1o th\u00e0nh l\u00e0:<br\/>30 . 2 = 60 (cung tr\u00f2n)<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>C. 60 cung tr\u00f2n<\/span><\/span> <br\/>","column":2}]}],"id_ques":2224},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":"Tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (O) ta l\u1ea5y m\u1ed9t s\u1ed1 \u0111i\u1ec3m. V\u1ebd c\u00e1c d\u00e2y cung c\u00f3 hai \u0111\u1ea7u l\u00e0 hai trong c\u00e1c s\u1ed1 \u0111i\u1ec3m \u0111\u00e3 cho. Bi\u1ebft r\u1eb1ng c\u00f3 t\u1ea5t c\u1ea3 78 d\u00e2y cung. T\u00ednh s\u1ed1 \u0111i\u1ec3m \u0111\u00e3 l\u1ea5y tr\u00ean cung tr\u00f2n.","select":["A. 12 \u0111i\u1ec3m","B. 13 \u0111i\u1ec3m","C. 14 \u0111i\u1ec3m","D. 15 \u0111i\u1ec3m"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Cho n \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n. V\u1ebd c\u00e1c d\u00e2y c\u00f3 hai \u0111\u1ea7u l\u00e0 hai trong n \u0111i\u1ec3m \u0111\u00e3 cho. Khi \u0111\u00f3:<br\/>+ S\u1ed1 d\u00e2y t\u1ea1o th\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: $\\dfrac{n.(n - 1)}{2}$<br\/>+ S\u1ed1 cung tr\u00f2n \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: n . (n - 1) ( ho\u1eb7c s\u1ed1 cung tr\u00f2n = s\u1ed1 d\u00e2y cung . 2)<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta g\u1ecdi s\u1ed1 \u0111i\u1ec3m \u0111\u00e3 l\u1ea5y tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 n<br\/>Ta c\u00f3: $\\dfrac{n.(n - 1)}{2}$ = 78 suy ra n. (n - 1) = 156 = 13. 12<br\/>V\u00ec n v\u00e0 n - 1 l\u00e0 hai s\u1ed1 t\u1ef1 nhi\u00ean li\u00ean ti\u1ebfp n\u00ean n = 13<br\/> V\u1eady tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00e3 l\u1ea5y 13 \u0111i\u1ec3m<br\/>Ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>B. 13 \u0111i\u1ec3m<\/span><\/span> <br\/>","column":2}]}],"id_ques":2225},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":"Tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (O) ta l\u1ea5y n \u0111i\u1ec3m. S\u1ed1 cung tr\u00f2n t\u1ea1o th\u00e0nh l\u00e0 110. V\u1eady n c\u00f3 gi\u00e1 tr\u1ecb l\u00e0:","select":["A. 9","B. 10","C. 11","D. 12"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Cho n \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n. V\u1ebd c\u00e1c d\u00e2y c\u00f3 hai \u0111\u1ea7u l\u00e0 hai trong n \u0111i\u1ec3m \u0111\u00e3 cho. Khi \u0111\u00f3:<br\/>+ S\u1ed1 d\u00e2y t\u1ea1o th\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: $\\dfrac{n.(n - 1)}{2}$<br\/>+ S\u1ed1 cung tr\u00f2n \u0111\u01b0\u1ee3c t\u1ea1o th\u00e0nh \u0111\u01b0\u1ee3c t\u00ednh theo c\u00f4ng th\u1ee9c: n . (n - 1) ( ho\u1eb7c s\u1ed1 cung tr\u00f2n = s\u1ed1 d\u00e2y cung . 2)<\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: S\u1ed1 cung tr\u00f2n t\u1ea1o th\u00e0nh l\u00e0 110 suy ra n. (n - 1) = 110 = 11. 10<br\/>V\u00ec n v\u00e0 n - 1 l\u00e0 hai s\u1ed1 t\u1ef1 nhi\u00ean li\u00ean ti\u1ebfp n\u00ean n = 11<br\/> V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>C. 11<\/span><\/span> <br\/>","column":2}]}],"id_ques":2226},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 ho\u1eb7c ch\u1eef th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["C"],["B"],["7"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"<span class='basic_left'>V\u1ebd tam gi\u00e1c ABC, bi\u1ebft ba c\u1ea1nh BC = 9cm, AB = 7cm, AC = 5cm.<br\/><b>C\u00e1ch v\u1ebd:<\/b><br\/>+ V\u1ebd \u0111o\u1ea1n th\u1eb3ng BC = 9cm<br\/>+ V\u1ebd cung tr\u00f2n t\u00e2m _input_, b\u00e1n k\u00ednh 5cm<br\/>+ V\u1ebd cung tr\u00f2n t\u00e2m _input_, b\u00e1n k\u00ednh _input_cm.<br\/>+ L\u1ea5y m\u1ed9t giao \u0111i\u1ec3m c\u1ee7a hai cung tr\u00ean, g\u1ecdi giao \u0111i\u1ec3m \u0111\u00f3 l\u00e0 A<br\/>+ V\u1ebd \u0111o\u1ea1n th\u1eb3ng AB, AC, ta c\u00f3 $\\triangle$ABC.<\/span>","hint":"","explain":"<span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/><span class='basic_left'><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K101.png' \/><\/center><b>C\u00e1ch v\u1ebd:<\/b><br\/>+ V\u1ebd \u0111o\u1ea1n th\u1eb3ng BC = 9cm<br\/>+ V\u1ebd cung tr\u00f2n t\u00e2m C, b\u00e1n k\u00ednh 5cm<br\/>+ V\u1ebd cung tr\u00f2n t\u00e2m B, b\u00e1n k\u00ednh 7cm.<br\/>+ L\u1ea5y m\u1ed9t giao \u0111i\u1ec3m c\u1ee7a hai cung tr\u00ean, g\u1ecdi giao \u0111i\u1ec3m \u0111\u00f3 l\u00e0 A<br\/>+ V\u1ebd \u0111o\u1ea1n th\u1eb3ng AB, AC, ta c\u00f3 $\\triangle$ABC.<br\/>V\u1eady s\u1ed1 ho\u1eb7c ch\u1eef c\u1ea7n \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng theo th\u1ee9 t\u1ef1 t\u1eeb tr\u00ean xu\u1ed1ng d\u01b0\u1edbi, t\u1eeb tr\u00e1i sang ph\u1ea3i l\u00e0:<span class='basic_pink'> C, B, 7<\/span><\/span> <\/span> <br\/> "}]}],"id_ques":2227},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":10,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K105.png' \/><\/center> Cho h\u00ecnh v\u1ebd nh\u01b0 tr\u00ean, bi\u1ebft hai \u0111\u01b0\u1eddng tr\u00f2n (O; 4cm) v\u00e0 (M; 5cm) c\u1eaft nhau t\u1ea1i A, B, OM = 6,5cm. \u0110\u01b0\u1eddng tr\u00f2n t\u00e2m O, M l\u1ea7n l\u01b0\u1ee3t c\u1eaft \u0111o\u1ea1n th\u1eb3ng OM t\u1ea1i Q, P. T\u00ednh PQ","select":["A. PQ = 1,5cm","B. PQ = 2,5cm","C. PQ = 3,5cm","D. PQ = 4,5cm"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Ta c\u00f3 th\u1ec3 l\u00e0m nh\u01b0 sau:<br\/>+ B\u01b0\u1edbc 1: T\u00ednh QM ( ho\u1eb7c OP)<br\/>+ B\u01b0\u1edbc 2: T\u00ednh PQ<\/span> <br\/><br\/><span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K105.png' \/><\/center> \u0110\u01b0\u1eddng tr\u00f2n t\u00e2m O, M l\u1ea7n l\u01b0\u1ee3t c\u1eaft \u0111o\u1ea1n th\u1eb3ng OM t\u1ea1i Q, P<br\/>Do \u0111\u00f3 \u0111i\u1ec3m Q n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (O), \u0111i\u1ec3m P n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (M)<br\/>Suy ra OQ = 4cm, MP = 5cm<br\/>OQ < OM ( v\u00ec 4cm < 6,5cm) n\u00ean \u0111i\u1ec3m Q n\u1eb1m gi\u1eefa \u0111i\u1ec3m M v\u00e0 O<br\/>Suy ra OQ + QM = OM<br\/>Thay OQ = 4cm, OM = 6,5cm ta \u0111\u01b0\u1ee3c:<br\/>4cm + QM = 6,5cm<br\/>Suy ra QM = 6,5cm - 4cm = 2,5cm<br\/>L\u1ea1i c\u00f3: MQ (hay QM) < MP (v\u00ec 2,5cm < 5cm) n\u00ean \u0111i\u1ec3m Q n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 P<br\/>Do \u0111\u00f3: MQ + QP = MP suy ra QP = MP - MQ = 5cm - 2,5cm = 2,5cm<br\/>Hay PQ = 2,5cm<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>B. PQ = 2,5cm<\/span> <\/span> <br\/><\/span>","column":2}]}],"id_ques":2228},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t \u0111\u1ec3 \u0111i\u1ec1n v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K107.png' \/><\/center>Cho h\u00ecnh v\u1ebd nh\u01b0 tr\u00ean. Cho h\u00ecnh v\u1ebd nh\u01b0 tr\u00ean. D\u1ef1a v\u00e0o h\u00ecnh v\u1ebd h\u00e3y k\u1ec3 t\u00ean c\u00e1c c\u1eb7p tam gi\u00e1c c\u00f3 hai g\u00f3c k\u1ec1 b\u00f9 nhau.","select":["A. $\\triangle$AMC v\u00e0 $\\triangle$NMC, $\\triangle$ANC v\u00e0 $\\triangle$ACB","B. $\\triangle$ABC v\u00e0 $\\triangle$NMC, $\\triangle$ANC v\u00e0 $\\triangle$ANB","C. $\\triangle$AMC v\u00e0 $\\triangle$NMC, $\\triangle$ANC v\u00e0 $\\triangle$ANB","D. $\\triangle$AMC v\u00e0 $\\triangle$NAC, $\\triangle$AMC v\u00e0 $\\triangle$ANB"],"hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K108.png' \/><\/center>Quan s\u00e1t h\u00ecnh v\u1ebd ta th\u1ea5y:<br\/> C\u00e1c c\u1eb7p g\u00f3c k\u1ec1 b\u00f9 nhau l\u00e0: $\\widehat{AMC}$ v\u00e0 $\\widehat{NMC}$ , $\\widehat{ANB}$ v\u00e0 $\\widehat{ANC}$<br\/> V\u1eady c\u00e1c c\u1eb7p tam gi\u00e1c c\u00f3 hai g\u00f3c k\u1ec1 b\u00f9 nhau l\u00e0: $\\triangle$AMC v\u00e0 $\\triangle$NMC, $\\triangle$ANC v\u00e0 $\\triangle$ANB<br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>C. $\\triangle$AMC v\u00e0 $\\triangle$NMC, $\\triangle$ANC v\u00e0 $\\triangle$ANB<\/span><\/span> <br\/>","column":2}]}],"id_ques":2229},{"time":14,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K112.png' \/><\/center> Cho h\u00ecnh v\u1ebd nh\u01b0 tr\u00ean, bi\u1ebft hai \u0111\u01b0\u1eddng tr\u00f2n (A; 5cm) v\u00e0 (B; 6cm) c\u1eaft nhau t\u1ea1i M, N, AB = 10cm. \u0110\u01b0\u1eddng tr\u00f2n t\u00e2m A, B l\u1ea7n l\u01b0\u1ee3t c\u1eaft \u0111o\u1ea1n th\u1eb3ng AB t\u1ea1i Q, P. T\u00ednh MA, AP","select":["A. MA = 4cm; AP = 6cm","B. MA = 5cm; AP = 6cm","C. MA = 5cm; AP = 4cm","D. MA = 6cm; AP = 5cm"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai14/lv3/img\/H625_K112.png' \/><\/center> Ta c\u00f3 hai \u0111\u01b0\u1eddng tr\u00f2n (A; 5cm) v\u00e0 (B; 6cm) c\u1eaft nhau t\u1ea1i M, N<br\/>Do \u0111\u00f3 \u0111i\u1ec3m M v\u00e0 \u0111i\u1ec3m N \u0111\u1ec1u n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (A; 5cm) v\u00e0 (B; 6cm)<br\/>+ \u0110i\u1ec3m M n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (A; 5cm) suy ra <b>MA = 5cm<\/b><br\/>\u0110\u01b0\u1eddng tr\u00f2n t\u00e2m A, B l\u1ea7n l\u01b0\u1ee3t c\u1eaft \u0111o\u1ea1n th\u1eb3ng AB t\u1ea1i Q, P<br\/>Do \u0111\u00f3: <br\/>+ \u0110i\u1ec3m Q n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (A; 5cm) suy ra AQ = 5cm<br\/>+ \u0110i\u1ec3m P n\u1eb1m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n (B; 6cm) suy ra BP= 6cm<br\/>L\u1ea1i c\u00f3: AQ + BP = (AP + PQ) + (BQ + PQ) <br\/>Hay 5cm + 6cm = AP + PQ + BQ + PQ<br\/>(AP + PQ + BQ) + PQ = 11cm<br\/>AB + PQ = 11cm<br\/>PQ = 11cm - AB = 11cm - 10cm = 1cm<br\/>\u0110i\u1ec3m P n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 Q n\u00ean AP + PQ = AQ<br\/>Thay PQ = 1cm; AQ = 5cm ta \u0111\u01b0\u1ee3c:<br\/>AP + 1cm = 5cm<br\/><b>AP = 5cm - 1cm = 4cm<\/b><br\/>V\u1eady ta ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: <span class='basic_pink'>C. MA = 5cm; AP = 4cm<\/span><br\/> <\/span> <br\/><\/span>","column":2}]}],"id_ques":2230}],"lesson":{"save":0,"level":3}}