Đoạn thẳng. Độ dài đoạn thẳng. Khi nào AM + MB = AB?

Home Lớp 6 Toán lớp 6 - Sách kết nối tri thức Đoạn thẳng. Độ dài đoạn thẳng. Khi nào AM + MB = AB?Bài tập cơ bản

{"common":{"save":0,"post_id":"828","level":1,"total":20,"point":5,"point_extra":0},"segment":[{"id":"1981","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"H\u00e3y ch\u1ecdn t\u1eeb ho\u1eb7c c\u1ee5m t\u1eeb th\u00edch h\u1ee3p thay v\u00e0o ch\u1ed7.... \u0111\u1ec3 ho\u00e0n th\u00e0nh c\u00e2u sau: <br\/> H\u00ecnh g\u1ed3m hai \u0111i\u1ec3m A v\u00e0 B v\u00e0 t\u1ea5t c\u1ea3 c\u00e1c \u0111i\u1ec3m n\u1eb1m gi\u1eefa A v\u00e0 B \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0....","select":["A. \u0110\u01b0\u1eddng th\u1eb3ng AB","B. \u0110o\u1ea1n th\u1eb3ng AB","C. Tia AB"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> H\u00ecnh g\u1ed3m hai \u0111i\u1ec3m A, B v\u00e0 t\u1ea5t c\u1ea3 c\u00e1c \u0111i\u1ec3m n\u1eb1m gi\u1eefa A v\u00e0 B \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u0111o\u1ea1n th\u1eb3ng AB. <br\/> <center><img src='img\/H615_D101.png' \/><\/center> <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B<\/span> ","column":3}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1982","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"H\u00e3y ch\u1ecdn t\u1eeb ho\u1eb7c c\u1ee5m t\u1eeb th\u00edch h\u1ee3p thay v\u00e0o ch\u1ed7.... \u0111\u1ec3 ho\u00e0n th\u00e0nh c\u00e2u sau: <br\/> H\u00ecnh g\u1ed3m \u0111i\u1ec3m O v\u00e0 m\u1ed9t ph\u1ea7n \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u01b0\u1ee3c chia ra b\u1edfi \u0111i\u1ec3m O \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 m\u1ed9t....","select":["A. \u0110\u01b0\u1eddng th\u1eb3ng g\u1ed1c O","B. \u0110o\u1ea1n th\u1eb3ng O","C. Tia g\u1ed1c O"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> H\u00ecnh g\u1ed3m \u0111i\u1ec3m O v\u00e0 m\u1ed9t ph\u1ea7n \u0111\u01b0\u1eddng th\u1eb3ng b\u1ecb chia ra b\u1edfi O \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 m\u1ed9t tia g\u1ed1c O <br\/> <center><img src='img\/H615_D102.png' \/><\/center><br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C<\/span> ","column":3}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1983","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Th\u1ea7y gi\u00e1o y\u00eau c\u1ea7u \"v\u1ebd \u0111o\u1ea1n th\u1eb3ng MN c\u1eaft \u0111o\u1ea1n th\u1eb3ng PQ\". Ba b\u1ea1n Lan, H\u00f9ng, Hu\u1ec7 v\u1ebd nh\u01b0 sau: <br\/> <center><img src='img\/H615_D104.png' \/><\/center> <br\/> H\u1ecfi b\u1ea1n n\u00e0o v\u1ebd \u0111\u00fang? ","select":["A. Hu\u1ec7","B. H\u00f9ng","C. Lan","D. C\u1ea3 3 b\u1ea1n \u0111\u1ec1u \u0111\u00fang"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> Quan s\u00e1t h\u00ecnh v\u1ebd ta c\u00f3: <br\/> Hu\u1ec7 v\u1ebd: \u0110o\u1ea1n th\u1eb3ng MN c\u1eaft \u0111o\u1ea1n th\u1eb3ng PQ t\u1ea1i m\u1ed9t \u0111i\u1ec3m n\u1eb1m tr\u00ean MN v\u00e0 PQ <br\/> H\u00f9ng v\u1ebd: \u0110o\u1ea1n th\u1eb3ng MN c\u1eaft \u0111o\u1ea1n th\u1eb3ng PQ t\u1ea1i \u0111\u1ea7u m\u00fat P c\u1ee7a \u0111o\u1ea1n th\u1eb3ng PQ <br\/> Hu\u1ec7 v\u1ebd: \u0110o\u1ea1n th\u1eb3ng MN c\u1eaft \u0111o\u1ea1n th\u1eb3ng PQ t\u1ea1i \u0111\u1ea7u m\u00fat M c\u1ee7a \u0111o\u1ea1n MN v\u00e0 \u0111\u1ea7u m\u00fat P c\u1ee7a \u0111o\u1ea1n PQ (hay M v\u00e0 P tr\u00f9ng nhau <br\/> V\u1eady c\u1ea3 3 b\u1ea1n tr\u00ean \u0111\u1ec1u v\u1ebd \u0111\u00fang <br\/> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0: D. C\u1ea3 3 b\u1ea1n \u0111\u1ec1u \u0111\u00fang<\/span> ","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1984","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Th\u1ea7y gi\u00e1o y\u00eau c\u1ea7u \"v\u1ebd \u0111o\u1ea1n th\u1eb3ng MP c\u1eaft tia Ox\". B\u1ed1n b\u1ea1n Hoa, Mai, Tu\u1ea5n, Minh v\u1ebd nh\u01b0 sau: <br\/> <center><img src='img\/H615_D105.png' \/><\/center> <br\/> H\u1ecfi b\u1ea1n n\u00e0o v\u1ebd \u0111\u00fang? ","select":["A. Mai v\u00e0 Tu\u1ea5n","B. Hoa v\u00e0 Mai","C. Tu\u1ea5n v\u00e0 Minh","D. C\u1ea3 4 b\u1ea1n \u0111\u1ec1u \u0111\u00fang"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> Quan s\u00e1t h\u00ecnh v\u1ebd ta c\u00f3: <br\/> Hoa v\u1ebd: \u0110o\u1ea1n th\u1eb3ng MP c\u1eaft tia Ox t\u1ea1i \u0111\u1ea7u m\u00fat O c\u1ee7a tia Ox<br\/> Mai v\u1ebd: MP c\u1eaft tia Ox t\u1ea1i m\u1ed9t \u0111i\u1ec3m n\u1eb1m tr\u00ean \u0111o\u1ea1n th\u1eb3ng MP v\u00e0 tia Ox (kh\u00e1c c\u00e1c \u0111\u1ea7u m\u00fat) <br\/> Tu\u1ea5n v\u1ebd: \u0110o\u1ea1n th\u1eb3ng MP c\u1eaft tia Ox t\u1ea1i \u0111\u1ea7u m\u00fat O c\u1ee7a tia Ox v\u00e0 \u0111\u1ea7u m\u00fat M c\u1ee7a \u0111o\u1ea1n MP (M tr\u00f9ng v\u1edbi O) <br\/> Minh v\u1ebd: \u0110o\u1ea1n th\u1eb3ng MP c\u1eaft tia Ox t\u1ea1i \u0111\u1ea7u m\u00fat M c\u1ee7a \u0111o\u1ea1n MP <br\/> V\u1eady c\u1ea3 4 b\u1ea1n tr\u00ean \u0111\u1ec1u v\u1ebd \u0111\u00fang <br\/> \u0110\u00e1p \u00e1n \u0111\u00fang l\u00e0: D. C\u1ea3 4 b\u1ea1n \u0111\u1ec1u \u0111\u00fang<\/span> ","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1985","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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 \u0111i\u1ec3m I l\u00e0 m\u1ed9t \u0111i\u1ec3m b\u1ea5t k\u00ec c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang?","select":["A. \u0110i\u1ec3m I ph\u1ea3i tr\u00f9ng v\u1edbi A ho\u1eb7c B","B. \u0110i\u1ec3m I n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B","C. \u0110i\u1ec3m I ho\u1eb7c tr\u00f9ng v\u1edbi \u0111i\u1ec3m A ho\u1eb7c n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B ho\u1eb7c tr\u00f9ng v\u1edbi B","D. \u0110i\u1ec3m I ph\u1ea3i kh\u00e1c \u0111i\u1ec3m A v\u00e0 \u0111i\u1ec3m B"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3: <br\/> V\u00ec \u0111i\u1ec3m I l\u00e0 m\u1ed9t \u0111i\u1ec3m b\u1ea5t k\u00ec c\u1ee7a \u0111o\u1ea1n th\u1eb3ng AB n\u00ean c\u00f3 3 tr\u01b0\u1eddng h\u1ee3p x\u1ea3y ra: <br\/> +) \u0110i\u1ec3m I n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B <br\/> <center><img src='img\/H615_D110.png' \/><\/center> <br\/> +) \u0110i\u1ec3m I tr\u00f9ng v\u1edbi \u0111i\u1ec3m A <br\/> <center><img src='img\/H615_D111.png' \/><\/center> <br\/> +) \u0110i\u1ec3m I tr\u00f9ng v\u1edbi \u0111i\u1ec3m B <br\/> <center><img src='img\/H615_D112.png' \/><\/center> <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh C \u0111\u00fang<\/span> ","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1986","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Tr\u00ean \u0111o\u1ea1n th\u1eb3ng MN = 6cm, l\u1ea5y \u0111i\u1ec3m A sao cho MA = 3cm. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang?","select":["A. \u0110i\u1ec3m A kh\u00f4ng n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N","B. \u0110o\u1ea1n th\u1eb3ng MA d\u00e0i h\u01a1n \u0111o\u1ea1n th\u1eb3ng AN","C. \u0110o\u1ea1n th\u1eb3ng MA b\u1eb1ng \u0111o\u1ea1n th\u1eb3ng AN","D. C\u1ea3 3 \u0111\u00e1p \u00e1n tr\u00ean \u0111\u1ec1u sai"],"hint":"T\u00ednh \u0111\u1ed9 d\u00e0i \u0111o\u1ea1n th\u1eb3ng AN r\u1ed3i ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","explain":" H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> C\u1ea7n ch\u1ee9ng t\u1ecf \u0111i\u1ec3m A n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N <br\/> B\u01b0\u1edbc 2: <\/b> V\u00ec A n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N n\u00ean MA + AN = MN <br\/> T\u1eeb \u0111\u00f3 ta t\u00ednh \u0111\u01b0\u1ee3c AN <br\/> B\u01b0\u1edbc 3: <\/b> Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span> <br\/> <center><img src='img\/H615_D113.png' \/><\/center> <br\/> V\u00ec \u0111i\u1ec3m A thu\u1ed9c \u0111o\u1ea1n th\u1eb3ng MN n\u00ean tia MA tr\u00f9ng v\u1edbi tia MN (1)<br\/> M\u00e0 MA = 3cm, MN = 6cm n\u00ean MA < MN (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow$ \u0111i\u1ec3m A n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N <br\/> V\u00ec \u0111i\u1ec3m A n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N $\\Rightarrow$ MA + AN = MN <br\/> $\\Rightarrow$ AN = MN - MA = 6cm - 3cm = 3cm <br\/> $\\Rightarrow$ MA = AN = 3cm <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1987","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Qua hai \u0111i\u1ec3m ph\u00e2n bi\u1ec7t v\u1ebd \u0111\u01b0\u1ee3c bao nhi\u00eau \u0111o\u1ea1n th\u1eb3ng?","select":["A. 1","B. 2","C. 3","D. M\u1ed9t s\u1ed1 kh\u00e1c"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> Qua hai \u0111i\u1ec3m ph\u00e2n bi\u1ec7t ta v\u1ebd \u0111\u01b0\u1ee3c duy nh\u1ea5t m\u1ed9t \u0111o\u1ea1n th\u1eb3ng <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":4}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1988","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Qua 3 \u0111i\u1ec3m kh\u00f4ng th\u1eb3ng h\u00e0ng v\u1ebd \u0111\u01b0\u1ee3c bao nhi\u00eau \u0111o\u1ea1n th\u1eb3ng?","select":["A. 1","B. 2","C. 3","D. M\u1ed9t s\u1ed1 kh\u00e1c"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> Qua 3 \u0111i\u1ec3m kh\u00f4ng th\u1eb3ng h\u00e0ng ta v\u1ebd \u0111\u01b0\u1ee3c 3 \u0111o\u1ea1n th\u1eb3ng nh\u01b0 h\u00ecnh v\u1ebd <br\/> <center><img src='img\/H615_D114.png' \/><\/center> <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":4}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1989","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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 h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_D117.png' \/><\/center> <br\/> H\u00e3y ch\u1ecdn c\u1ee5m t\u1eeb th\u00edch h\u1ee3p thay v\u00e0o ch\u1ed7.... \u0111\u1ec3 ho\u00e0n th\u00e0nh c\u00e2u sau: <br\/> Tia OB v\u00e0 tia MA....","select":["A. Kh\u00f4ng c\u1eaft nhau","B. Tr\u00f9ng nhau","C. \u0110\u1ed1i nhau","D. C\u1eaft nhau"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/>Quan s\u00e1t h\u00ecnh v\u1ebd ta c\u00f3: <br\/> Tia OB v\u00e0 tia MA kh\u00f4ng c\u00f3 \u0111i\u1ec3m chung <br\/> N\u00ean tia OB v\u00e0 tia MA kh\u00f4ng c\u1eaft nhau c\u0169ng kh\u00f4ng tr\u00f9ng nhau, kh\u00f4ng \u0111\u1ed1i nhau <br\/> V\u1eady c\u1ee5m t\u1eeb th\u00edch h\u1ee3p l\u00e0: Kh\u00f4ng c\u1eaft nhau<\/span> ","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1990","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Cho h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_D117.png' \/><\/center> <br\/> H\u00e3y ch\u1ecdn c\u1ee5m t\u1eeb th\u00edch h\u1ee3p thay v\u00e0o ch\u1ed7.... \u0111\u1ec3 ho\u00e0n th\u00e0nh c\u00e2u sau: <br\/> Tia OA v\u00e0 tia OB l\u00e0 hai tia....","select":["A. Tr\u00f9ng nhau","B. kh\u00f4ng chung g\u1ed1c","C. \u0110\u1ed1i nhau","D. Chung g\u1ed1c"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/>Quan s\u00e1t h\u00ecnh v\u1ebd ta c\u00f3: <br\/> Tia OA v\u00e0 tia OB c\u00f3 chung g\u1ed1c O <br\/> Tia OA v\u00e0 tia OB kh\u00f4ng t\u1ea1o th\u00e0nh m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng n\u00ean ch\u00fang kh\u00f4ng \u0111\u1ed1i nhau <br\/> Tia OA v\u00e0 tia OB c\u0169ng kh\u00f4ng c\u00f9ng thu\u1ed9c m\u1ed9t n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng n\u00ean ch\u00fang kh\u00f4ng tr\u00f9ng nhau <br\/> V\u1eady tia OA v\u00e0 tia OA l\u00e0 hai tia chung g\u1ed1c<\/span> ","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1991","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"H\u00e3y ch\u1ecdn h\u00ecnh v\u1ebd \u0111\u00fang theo di\u1ec5n \u0111\u1ea1t sau: <br\/> V\u1ebd 3 \u0111i\u1ec3m M, N, P kh\u00f4ng th\u1eb3ng h\u00e0ng, v\u1ebd \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua M v\u00e0 P, v\u1ebd \u0111o\u1ea1n th\u1eb3ng c\u00f3 hai m\u00fat M v\u00e0 N. V\u1ebd n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng g\u1ed1c P \u0111i qua N.","select":["A. <center><img src='img\/H615_D118.png' \/><\/center>","B. <center><img src='img\/H615_D119.png' \/><\/center>","C. <center><img src='img\/H615_D120.png' \/><\/center>"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> H\u00ecnh A v\u1ebd: \u0110\u01b0\u1eddng th\u1eb3ng MP, \u0111o\u1ea1n th\u1eb3ng MN v\u00e0 n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng g\u1ed1c P \u0111i qua N (th\u1ecfa m\u00e3n) <\/b> <br\/> H\u00ecnh B v\u1ebd: \u0110\u01b0\u1eddng th\u1eb3ng MN, \u0111o\u1ea1n th\u1eb3ng MP tr\u00e1i v\u1edbi \u0111\u1ec1 b\u00e0i l\u00e0 \u0111o\u1ea1n th\u1eb3ng MN v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng MP <br\/> H\u00ecnh C v\u1ebd: \u0110\u01b0\u1eddng th\u1eb3ng MP, \u0111o\u1ea1n th\u1eb3ng MN v\u00e0 n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng g\u1ed1c N \u0111i qua P (tr\u00e1i v\u1edbi \u0111\u1ec1 b\u00e0i l\u00e0 n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng g\u1ed1c P \u0111i qua N) <br\/> V\u1eady h\u00ecnh v\u1ebd \u0111\u00fang l\u00e0: <center><img src='img\/H615_D118.png' \/><\/center> <\/span> ","column":3}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1992","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"V\u1ebd 3 \u0111o\u1ea1n th\u1eb3ng sao cho m\u1ed7i \u0111o\u1ea1n th\u1eb3ng c\u1eaft hai \u0111o\u1ea1n th\u1eb3ng c\u00f2n l\u1ea1i. <br\/> <center><img src='img\/H615_D121.png' \/><\/center> H\u00ecnh v\u1ebd n\u00e0o \u0111\u00fang? ","select":["A. H\u00ecnh 1","B. H\u00ecnh 2","C. H\u00ecnh 3","D. C\u1ea3 3 h\u00ecnh \u0111\u1ec1u \u0111\u00fang"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> H\u00ecnh A: MN c\u1eaft PQ t\u1ea1i m\u1ed9t \u0111i\u1ec3m \u1edf gi\u1eefa hai \u0111\u1ea7u m\u00fat v\u00e0 c\u1eaft MQ t\u1ea1i M <br\/> MQ c\u1eaft MN t\u1ea1i M v\u00e0 c\u1eaft PQ t\u1ea1i Q <br\/> PQ c\u1eaft MN t\u1ea1i m\u1ed9t \u0111i\u1ec3m \u1edf gi\u1eefa hai \u0111\u1ea7u m\u00fat v\u00e0 c\u1eaft MQ t\u1ea1i Q <br\/> H\u00ecnh B: MN c\u1eaft MP t\u1ea1i M, c\u1eaft PN t\u1ea1i N <br\/> NP c\u1eaft MN t\u1ea1i N, c\u1eaft PM t\u1ea1i M <br\/> PM c\u1eaft MN t\u1ea1i M, c\u1eaft PN t\u1ea1i N <br\/> H\u00ecnh C: MN c\u1eaft PQ v\u00e0 KH; KH c\u1eaft PQ v\u00e0 MN, PQ c\u1eaft KH v\u00e0 MN <br\/> V\u1eady c\u1ea3 3 h\u00ecnh tr\u00ean \u0111\u1ec1u \u0111\u00fang <\/span>","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1993","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng a l\u1ea5y 3 \u0111i\u1ec3m A, B, C sao cho AB = 4cm, BC = 2cm. T\u00ednh \u0111\u1ed9 d\u00e0i AC bi\u1ebft B n\u1eb1m gi\u1eefa A v\u00e0 C. ","select":["A. AC = 3cm","B. AC = 4cm","C. AC = 2cm","D. AC = 6cm"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_D128.png' \/><\/center> <br\/> V\u00ec A, B, C c\u00f9ng thu\u1ed9c \u0111\u01b0\u1eddng th\u1eb3ng a <br\/> \u0110i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C <br\/> N\u00ean AC = AB + BC = 4cm + 2cm = 6cm <br\/> V\u1eady: AC = 6cm <\/span>","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1994","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng d l\u1ea5y 3 \u0111i\u1ec3m M, N, P sao cho MN = 8cm, NP = 3cm. T\u00ednh \u0111\u1ed9 d\u00e0i MP bi\u1ebft P n\u1eb1m gi\u1eefa M v\u00e0 N. ","select":["A. MP = 5cm","B. MP = 11cm","C. MP = 4cm","D. MP = 7cm"],"hint":"","explain":" B\u00e0i gi\u1ea3i:<\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_D129.png' \/><\/center> <br\/> V\u00ec M, N, P c\u00f9ng thu\u1ed9c \u0111\u01b0\u1eddng th\u1eb3ng d <br\/> \u0110i\u1ec3m P n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N <br\/> N\u00ean MP + PN = MN $\\Rightarrow$ MP = MN - PN = 8cm - 3cm = 5cm <br\/> V\u1eady: MP = 5cm <\/span> ","column":2}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1995","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"\u0110i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N th\u00ec:","select":["A. ME + EN = MN","B. EM + MN = EN","C. NE + MN = EM","D. \u0110\u00e1p \u00e1n kh\u00e1c"],"hint":"","explain":"B\u00e0i gi\u1ea3i:<\/span> <br\/> V\u00ec \u0111i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N n\u00ean ME + EN = MN <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":4}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1996","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"\u0110i\u1ec3m I n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B th\u00ec:","select":["A. IA + AB = IB","B. AI + IB = AB","C. IB + AB = IA","D. \u0110\u00e1p \u00e1n kh\u00e1c"],"hint":"","explain":"B\u00e0i gi\u1ea3i:<\/span> <br\/> V\u00ec \u0111i\u1ec3m I n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B n\u00ean: <br\/> AI + IB = AB <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":4}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1997","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Cho AB = 3cm, AC = 4cm, BC = 7cm. H\u1ecfi \u0111i\u1ec3m n\u00e0o n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m c\u00f2n l\u1ea1i?","select":["A. \u0110i\u1ec3m C","B. \u0110i\u1ec3m A","C. \u0110i\u1ec3m B","D. Kh\u00f4ng \u0111i\u1ec3m n\u00e0o n\u1eb1m gi\u1eefa"],"hint":"T\u00ednh AB + AC r\u1ed3i so s\u00e1nh v\u1edbi BC.","explain":"T\u00f3m t\u1eaft:<\/span><br\/> AB = 3cm <br\/> AC = 4cm <br\/> BC = 7cm <br\/> H\u1ecfi \u0111i\u1ec3m n\u00e0o n\u1eb1m gi\u1eefa? <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: AB = 3cm, AC = 4cm <br\/> AB + AC = 3cm + 4cm = 7cm <br\/> M\u00e0 BC = 7cm <br\/> N\u00ean AB + AC = BC <br\/> Do \u0111\u00f3 \u0111i\u1ec3m A n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m B v\u00e0 C <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. \u0110i\u1ec3m A <\/span> ","column":4}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1998","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Cho MA = 8cm, MB = 2cm, AB = 6cm. H\u1ecfi \u0111i\u1ec3m n\u00e0o n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m c\u00f2n l\u1ea1i?","select":["A. \u0110i\u1ec3m A","B. \u0110i\u1ec3m B","C. \u0110i\u1ec3m M","D. Kh\u00f4ng \u0111i\u1ec3m n\u00e0o n\u1eb1m gi\u1eefa"],"hint":"T\u00ednh MB + AB r\u1ed3i so s\u00e1nh v\u1edbi MA.","explain":"T\u00f3m t\u1eaft:<\/span><br\/> MA = 8cm <br\/> MB = 2cm <br\/> AB = 6cm <br\/> H\u1ecfi \u0111i\u1ec3m n\u00e0o n\u1eb1m gi\u1eefa? <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: AB = 6cm, MB = 2cm <br\/> MB + AB = 2cm + 6cm = 8cm <br\/> M\u00e0 MA = 8cm <br\/> N\u00ean MB + AB = MA <br\/> Do \u0111\u00f3 \u0111i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 A <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. \u0110i\u1ec3m B <\/span> ","column":4}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"1999","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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":"Cho AB = 6cm. \u0110i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B sao cho AC = 2cm. \u0110i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 B sao cho CE = 1,5cm. <br\/> C\u00e2u 1: <\/b> H\u00e3y so s\u00e1nh AC v\u00e0 EB?","select":["A. AC > EB","B. AC < EB","C. AC = EB"],"hint":"T\u00ednh CB sau \u0111\u00f3 t\u00ednh EB","explain":"T\u00f3m t\u1eaft:<\/span><br\/> AB = 6cm <br\/> AC = 2cm <br\/> CE = 1,5cm <br\/> \u0110i\u1ec3m C n\u1eb1m gi\u1eefa 2 \u0111i\u1ec3m A v\u00e0 B <br\/> \u0110i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 B <br\/> So s\u00e1nh AC v\u00e0 EB <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span> <br\/>Ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_D133.png' \/><\/center> <br\/> V\u00ec \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B n\u00ean: <br\/> $\\begin{align*} AC + CB &= AB \\\\ 2cm + CB &= 6cm \\\\ CB &= 6cm - 2cm \\\\ CB &= 4cm \\end{align*}$ <br\/> V\u00ec \u0111i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 B n\u00ean: <br\/> $\\begin{align*} CE + EB &= CB \\\\ 1,5cm +EB &= 4cm \\\\ EB &= 4cm - 1,5cm \\\\ EB &= 2,5cm \\end{align*}$ <br\/> V\u00ec AC = 2cm, EB = 2,5cm m\u00e0 2cm < 2,5cm n\u00ean AC < EB <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: AC < EB <\/span> ","column":4}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2000","post_id":"828","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","options":{"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 AB = 6cm. \u0110i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B sao cho AC = 2cm. \u0110i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 B sao cho CE = 1,5cm. <br\/> C\u00e2u 2: <\/b> H\u00e3y so s\u00e1nh CB v\u00e0 AE?","select":["A. CB > AE","B. CB = AE","C. CB < AE"],"hint":"T\u00ednh AE r\u1ed3i so s\u00e1nh v\u1edbi CB","explain":"T\u00f3m t\u1eaft:<\/span><br\/> AB = 6cm <br\/> AC = 2cm <br\/> CE = 1,5cm <br\/> \u0110i\u1ec3m C n\u1eb1m gi\u1eefa 2 \u0111i\u1ec3m A v\u00e0 B <br\/> \u0110i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 B <br\/> So s\u00e1nh CB v\u00e0 AE <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span> <br\/>Ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_D133.png' \/><\/center> <br\/> V\u00ec \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B <br\/> \u0110i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 B <br\/> $\\Rightarrow$ \u0110i\u1ec3m E n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B <br\/> $\\begin{align*} AE + EB &= AB \\\\ AE + 2,5cm &= 6cm \\\\ AE &= 6cm - 2,5cm \\\\ AE &= 3,5cm \\end{align*}$ <br\/> Theo c\u00e2u 1, CB = 4cm <br\/> V\u00ec CB = 4cm, AE = 3,5cm m\u00e0 3,5cm < 4cm n\u00ean CB > AE <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: CB > AE <\/span> ","column":4}]}]},"correct":"","level":"1","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"}]}