{"segment":[{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["f","t","t","f"]],"list":[{"point":10,"image":"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K101.png","col_name":["Kh\u1eb3ng \u0111\u1ecbnh","\u0110\u00fang","Sai"],"arr_ques":["K thu\u1ed9c tia AC","B thu\u1ed9c tia AC ","B, C, D thu\u1ed9c tia AC","Tia CD tr\u00f9ng v\u1edbi tia AC"],"hint":"","explain":["SAI v\u00ec: 3 \u0111i\u1ec3m K, A, C th\u1eb3ng h\u00e0ng; K, C n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi A n\u00ean K $\\notin$ tia AC","\u0110\u00daNG v\u00ec: \u0110i\u1ec3m B thu\u1ed9c n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ee9a tia AC","\u0110\u00daNG v\u00ec: C\u00e1c \u0111i\u1ec3m A, B, C, D c\u00f9ng thu\u1ed9c n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ee9a tia AC","SAI v\u00ec: V\u00ec tia CD v\u00e0 tia AC kh\u00f4ng chung g\u1ed1c"]}]}],"id_ques":1971},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["f","f","f","t"]],"list":[{"point":10,"image":"https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K101.png","col_name":["Kh\u1eb3ng \u0111\u1ecbnh","\u0110\u00fang","Sai"],"arr_ques":["Tia AK v\u00e0 tia CD \u0111\u1ed1i nhau","Tia BD v\u00e0 tia AK \u0111\u1ed1i nhau ","Tia BD v\u00e0 tia AC tr\u00f9ng nhau","Tia AB v\u00e0 tia AD tr\u00f9ng nhau"],"hint":"","explain":["SAI: V\u00ec hai tia kh\u00f4ng chung g\u1ed1c","SAI: V\u00ec hai tia kh\u00f4ng chung g\u1ed1c","SAI: V\u00ec hai tia kh\u00f4ng chung g\u1ed1c","\u0110\u00daNG: V\u00ec tia AB v\u00e0 AD chung g\u1ed1c A, tia AB v\u00e0 tia AD c\u00f9ng thu\u1ed9c n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ee9a tia AD"]}]}],"id_ques":1972},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["AB"],["AC"],["Ay"],["BC"],["By"],["CB"],["CA"],["Cx"],["BA"],["Bx"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"Cho 3 \u0111i\u1ec3m A, B, C th\u1eb3ng h\u00e0ng. \u0110i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C nh\u01b0 h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K102.png' \/><\/center> <br\/> <b> C\u00e2u 1: <\/b> \u0110i\u1ec3m B thu\u1ed9c c\u00e1c tia n\u00e0o? (k\u1ec3 c\u1ea3 c\u00e1c tia tr\u00f9ng nhau) <br\/> \u0110\u00e1p \u00e1n l\u00e0: B thu\u1ed9c tia _input_; _input_; _input_; _input_; _input_; _input_; _input_; _input_; _input_; _input_ ","hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i: <\/span><br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K102.png' \/><\/center> <br\/> Quan s\u00e1t h\u00ecnh v\u1ebd ta c\u00f3 c\u00e1c tia ch\u1ee9a \u0111i\u1ec3m B l\u00e0: Tia AB, tia AC, tia Ay, tia BC, tia By, tia CB, tia CA, tia Cx, tia BA, tia Bx <br\/> V\u1eady \u0111i\u1ec3m B thu\u1ed9c 10 tia k\u1ec3 tr\u00ean <br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0: AB, AC, Ay, BC, By, CB, CA, Cx, BA, Bx <\/span> "}]}],"id_ques":1973},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["AB"],["AC"],["Ay"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"Cho 3 \u0111i\u1ec3m A, B, C th\u1eb3ng h\u00e0ng. \u0110i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C nh\u01b0 h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K102.png' \/><\/center> <br\/> <b> C\u00e2u 2: <\/b> Hay k\u1ec3 t\u00ean c\u00e1c tia \u0111\u1ed1i v\u1edbi tia Ax. <br\/> \u0110\u00e1p \u00e1n l\u00e0 tia: _input_; _input_; _input_","hint":"","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i: <\/span><br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K102.png' \/><\/center> <br\/> V\u00ec hai tia \u0111\u1ed1i nhau l\u00e0 hai tia chung g\u1ed1c v\u00e0 hai tia \u0111\u00f3 t\u1ea1o th\u00e0nh m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng <br\/> N\u00ean ta c\u00f3 c\u00e1c tia \u0111\u1ed1i v\u1edbi tia Ax l\u00e0: Tia AB, tia AC, tia Ay <br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0: AB, AC, Ay<\/span> "}]}],"id_ques":1974},{"time":24,"part":[{"title":"","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":"Cho 3 \u0111i\u1ec3m M, N, P kh\u00f4ng th\u1eb3ng h\u00e0ng. V\u1ebd c\u00e1c tia MP, MN; v\u1ebd tia Mx c\u1eaft \u0111\u01b0\u1eddng th\u1eb3ng NP t\u1ea1i A. Hai \u0111i\u1ec3m P, N n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m A. H\u00ecnh v\u1ebd n\u00e0o sau \u0111\u00e2y \u0111\u00fang?","select":["A. <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K104.png' \/><\/center>","B.<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K105.png' \/><\/center>","C. <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K106.png' \/><\/center>"],"hint":"Quan s\u00e1t h\u00ecnh t\u1eebng v\u1ebd v\u00e0 x\u00e9t 3 \u0111i\u1ec3m P, M, A xem c\u00f3 th\u1ecfa m\u00e3n \u0111\u1ec1 b\u00e0i kh\u00f4ng?","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> H\u00ecnh A: 3 \u0111i\u1ec3m A, P, N c\u00f9ng thu\u1ed9c m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng <br\/> Hai \u0111i\u1ec3m P v\u00e0 N n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m A <b> (lo\u1ea1i) <\/b> <br\/> H\u00ecnh B: 3 \u0111i\u1ec3m A, P, N c\u00f9ng thu\u1ed9c m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng <br\/> Hai \u0111i\u1ec3m P v\u00e0 N n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m A <b> (lo\u1ea1i) <\/b> <br\/> H\u00ecnh C: 3 \u0111i\u1ec3m A, P, N c\u00f9ng thu\u1ed9c m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng <br\/> Hai \u0111i\u1ec3m P v\u00e0 N n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m A <b> (th\u1ecfa m\u00e3n) <\/b> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":3}]}],"id_ques":1975},{"time":24,"part":[{"title":"Cho \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B, \u0111i\u1ec3m D n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C. H\u00e3y s\u1eafp x\u1ebfp c\u00e1c c\u00e2u sau th\u00e0nh m\u1ed9t b\u00e0i ho\u00e0n ch\u1ec9nh \u0111\u1ec3 ch\u1ee9ng t\u1ecf \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m B v\u00e0 D.","title_trans":"","temp":"sequence","correct":[[[4],[1],[3],[2],[5],[6]]],"list":[{"point":10,"image":"","left":["$\\Rightarrow$ tia CA v\u00e0 tia CD tr\u00f9ng nhau (2) ","C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B","D n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C","$\\Rightarrow$ CA v\u00e0 CB l\u00e0 hai tia \u0111\u1ed1i nhau (1)","$T\u1eeb (1) v\u00e0 (2) \\Rightarrow$ CB, CD l\u00e0 2 tia \u0111\u1ed1i nhau","V\u1eady \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m B v\u00e0 D"],"top":70,"hint":"","explain":"Ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K110.png' \/><\/center> <br\/> V\u00ec \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B <br\/> $\\Rightarrow$ CA v\u00e0 CB l\u00e0 hai tia \u0111\u1ed1i nhau (1) <br\/> V\u00ec \u0111i\u1ec3m D n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C <br\/> $\\Rightarrow$ CA v\u00e0 CD l\u00e0 hai tia tr\u00f9ng nhau (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow$ CB v\u00e0 CD l\u00e0 hai tia \u0111\u1ed1i nhau <br\/> V\u1eady \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m B v\u00e0 D"}]}],"id_ques":1976},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["CA"],["CB"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"Cho 5 \u0111i\u1ec3m A, B, C, M, N sao cho: \u0110i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B, \u0111i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C, \u0111i\u1ec3m N n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 B. Khi \u0111\u00f3: <br\/> Tia CM tr\u00f9ng v\u1edbi tia: _input_ <br\/> Tia CN tr\u00f9ng v\u1edbi tia: _input_","hint":"V\u1ebd h\u00ecnh","explain":" <span class='basic_green'>B\u00e0i gi\u1ea3i: <\/span><br\/> Ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K112.png' \/><\/center> <br\/> V\u00ec hai tia tr\u00f9ng nhau l\u00e0 hai tia chung g\u1ed1c v\u00e0 c\u00f9ng thu\u1ed9c m\u1ed9t n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng <br\/> Tia CM tr\u00f9ng v\u1edbi tia CA <br\/> Tia CN tr\u00f9ng v\u1edbi tia CB <br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0: CA, CB<\/span> "}]}],"id_ques":1977},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","correct":[[["Mx"],["MN"],["My"],["Ma"],["MO"],["Mc"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"Cho h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K114.png' \/><\/center> <br\/> H\u00ecnh v\u1ebd tr\u00ean c\u00f3 c\u00e1c tia g\u1ed1c M l\u00e0: _input_; _input_; _input_; _input_; _input_; _input_","hint":"","explain":" <span class='basic_green'> B\u00e0i gi\u1ea3i: <\/span><br\/> Trong h\u00ecnh v\u1ebd tr\u00ean c\u00f3 c\u00e1c tia g\u1ed1c M l\u00e0: <br\/> Ma, MO, Mc, Mx, MN, My <br\/><span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0: Ma, MO, Mc, Mx, MN, My<\/span> "}]}],"id_ques":1978},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["24"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"Cho h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/hinhhoc/bai4/lv3/img\/H614_K115.png' \/><\/center> <br\/> H\u00ecnh v\u1ebd tr\u00ean c\u00f3 t\u1ea5t c\u1ea3 bao nhi\u00eau tia (k\u1ec3 c\u1ea3 c\u00e1c tia tr\u00f9ng nhau)? <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ tia","hint":"","explain":" <span class='basic_green'> B\u00e0i gi\u1ea3i: <\/span><br\/> Trong h\u00ecnh v\u1ebd tr\u00ean c\u00f3 c\u00e1c tia l\u00e0: Aq, AO, AC, Ap, OC, Op, Cp, CO, CA, Cq, OA, Oq, Bn, BO, BD, Bm, OD, Om, Dm, DO, DB, Dn, OB, On <br\/> V\u1eady h\u00ecnh v\u1ebd tr\u00ean c\u00f3 t\u1ea5t c\u1ea3 24 tia <br\/><span class='basic_pink'> S\u1ed1 c\u1ea7n \u0111i\u1ec3n l\u00e0: 24<\/span> "}]}],"id_ques":1979},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["28"]]],"list":[{"point":10,"width":50,"content":"","type_input":"","ques":"Cho n \u0111i\u1ec3m trong \u0111\u00f3 kh\u00f4ng c\u00f3 3 \u0111i\u1ec3m n\u00e0o th\u1eb3ng h\u00e0ng. C\u1ee9 qua hai \u0111i\u1ec3m ta v\u1ebd \u0111\u01b0\u1ee3c m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng. Bi\u1ebft t\u1ea5t c\u1ea3 v\u1ebd \u0111\u01b0\u1ee3c 378 \u0111\u01b0\u1eddng th\u1eb3ng. H\u1ecfi c\u00f3 t\u1ea5t c\u1ea3 bao nhi\u00eau \u0111i\u1ec3m? <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ \u0111i\u1ec3m","hint":"T\u00ednh n theo c\u00f4ng th\u1ee9c: S\u1ed1 \u0111\u01b0\u1eddng th\u1eb3ng = $\\dfrac{n . (n - 1)}{2}$","explain":" <span class='basic_green'> B\u00e0i gi\u1ea3i: <\/span><br\/> V\u00ec v\u1ebd \u0111\u01b0\u1ee3c 378 \u0111\u01b0\u1eddng th\u1eb3ng <br\/> M\u00e0 s\u1ed1 \u0111\u01b0\u1eddng th\u1eb3ng b\u1eb1ng: $\\dfrac{n . (n - 1)}{2}$ <br\/> N\u00ean ta c\u00f3: <br\/> $\\begin{align*} \\dfrac{n.(n - 1)}{2} &= 378\\\\ n . (n - 1) &= 378 . 2 \\\\ n . (n - 1) &= 756 \\\\ n . (n - 1) &= 28 . 27 \\end{align*}$ <br\/> V\u1eady n = 28 hay qua 28 \u0111i\u1ec3m trong \u0111\u00f3 kh\u00f4ng c\u00f3 3 \u0111i\u1ec3m n\u00e0o th\u1eb3ng h\u00e0ng ta v\u1ebd \u0111\u01b0\u1ee3c 378 \u0111\u01b0\u1eddng th\u1eb3ng<br\/><span class='basic_pink'> S\u1ed1 c\u1ea7n \u0111i\u1ec3n l\u00e0: 28<\/span> "}]}],"id_ques":1980}],"lesson":{"save":0,"level":3}}