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 nâng cao

{"common":{"save":0,"post_id":"829","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"2001","post_id":"829","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank_random","content":"","correct":[[["6"],["2"]]],"list":[{"point":10,"width":50,"type_input":"","ques":"Tr\u00ean tia Ox l\u1ea5y hai \u0111i\u1ec3m M, N sao cho OM = 3cm v\u00e0 \u0111i\u1ec3m N sao cho ON = 7cm. L\u1ea5y \u0111i\u1ec3m P sao cho MP = 2cm. T\u00ednh PN. <br\/> PN = _input_ cm ho\u1eb7c PN = _input_cm ","hint":"V\u1ebd h\u00ecnh th\u1ec3 hi\u1ec7n 2 tr\u01b0\u1eddng h\u1ee3p O, P n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi M ho\u1eb7c O, P n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi M","explain":" H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> V\u1ebd h\u00ecnh hai tr\u01b0\u1eddng h\u1ee3p <br\/> Tr\u01b0\u1eddng h\u1ee3p O, P n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi M <br\/> Tr\u01b0\u1eddng h\u1ee3p O, P n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi M <br\/> B\u01b0\u1edbc 2: <\/b> T\u00ednh PN = ? Tr\u01b0\u1eddng h\u1ee3p O, P n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi M <br\/> B\u01b0\u1edbc 3: <\/b> T\u00ednh PN = ? Tr\u01b0\u1eddng h\u1ee3p O, P n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M <\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> T\u00f3m t\u1eaft: <\/b> <br\/> Cho M thu\u1ed9c tia Ox <br\/> OM = 3cm <br\/> ON = 7cm <br\/> P $\\in$ Ox sao cho MP = 2cm <br\/> T\u00ednh PN = ?<\/span> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> Tr\u01b0\u1eddng h\u1ee3p 1: <\/b> \u0110i\u1ec3m O v\u00e0 \u0111i\u1ec3m P n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M <br\/> <center><img src='img\/H615_K101.png' \/><\/center> <br\/> V\u00ec hai \u0111i\u1ec3m M, N c\u00f9ng thu\u1ed9c tia Ox <br\/> OM = 3cm, ON = 7cm; 3cm < 7cm n\u00ean OM < ON <br\/> $\\Rightarrow$ \u0110i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O v\u00e0 N <br\/> $\\begin{align*} \\Rightarrow OM + MN &= ON \\\\ 3cm + MN &= 7cm \\\\ MN &= 7cm - 3cm \\\\ MN &= 4cm \\end{align*}$ <br\/> V\u00ec hai \u0111i\u1ec3m O, P n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M m\u00e0 \u0111i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O v\u00e0 N <br\/> N\u00ean \u0111i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m P v\u00e0 N <br\/> $\\begin{align*} \\Rightarrow PN &= PM + MN \\\\ PN &= 2cm + 4cm \\\\ PN &= 6cm\\end{align*}$ <br\/> Tr\u01b0\u1eddng h\u1ee3p 2: <\/b> \u0110i\u1ec3m O v\u00e0 P n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M <br\/> <center><img src='img\/H615_K102.png' \/><\/center> <br\/> V\u00ec O v\u00e0 P n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M n\u00ean M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O v\u00e0 P <br\/> $\\begin{align*} \\Rightarrow OM + MP &= OP \\\\ 3cm + 2cm &= OP \\\\ OP &= 5cm \\end{align*}$ <br\/> V\u00ec OP = 5cm, ON = 7cm <br\/> M\u00e0 5cm < 7cm n\u00ean OP < ON <br\/> $\\Rightarrow$ \u0110i\u1ec3m P n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O v\u00e0 N <br\/> $\\begin{align*} \\Rightarrow OP + PN &= ON \\\\ 5cm + PN &= 7cm \\\\ PN &= 7cm - 5cm \\\\ PN &= 2cm \\end{align*}$ <br\/> V\u1eady PN = 2cm ho\u1eb7c PN = 6cm <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2002","post_id":"829","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","content":"","correct":[[["9"]]],"list":[{"point":10,"width":50,"type_input":"","ques":"Tr\u00ean \u0111\u01b0\u1eddng th\u1eb3ng d l\u1ea5y 4 \u0111i\u1ec3m A, B, C, D sao cho \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B, \u0111i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 D. Bi\u1ebft AD = 12cm, AC = BD, AC = 3cm. T\u00ednh CD = ? <br\/> \u0110\u00e1p \u00e1n l\u00e0: CD = _input_ cm ","hint":"","explain":" H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> T\u00ednh CB = ? <br\/> B\u01b0\u1edbc 2: <\/b> T\u00ednh CD = ? <\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> T\u00f3m t\u1eaft: <\/b> <br\/> Cho 4 \u0111i\u1ec3m A, B, C, D thu\u1ed9c \u0111\u01b0\u1eddng th\u1eb3ng d <br\/> \u0110i\u1ec3m C n\u1eb1m gi\u1eefa 2 \u0111i\u1ec3m A v\u00e0 B <br\/> \u0110i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 D <br\/> AD = 12cm <br\/> AC = BD <br\/> AC = 3cm <br\/> T\u00ednh CD = ? <\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_K104.png' \/><\/center> <br\/> V\u00ec \u0111i\u1ec3m C n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 B, \u0111i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 D <br\/> N\u00ean \u0111i\u1ec3m C v\u00e0 \u0111i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 D <br\/>$\\begin{align*} AC + CB + BD &= AD \\\\ 3cm + CB + 3cm &= 12cm \\\\ CB &= 12cm - 3cm - 3cm \\\\ CB &= 6cm \\end{align*}$ <br\/> V\u00ec \u0111i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m C v\u00e0 D n\u00ean ta c\u00f3: <br\/> $\\begin{align*} CD &= CB + BD \\\\ CD &= 6cm + 3cm \\\\ CD &= 9cm \\end{align*}$ <br\/> V\u1eady CD = 9cm <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2003","post_id":"829","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","content":"","correct":[[["11175"]]],"list":[{"point":10,"width":80,"type_input":"","ques":"Cho 150 \u0111i\u1ec3m trong \u0111\u00f3 kh\u00f4ng c\u00f3 3 \u0111i\u1ec3m n\u00e0o th\u1eb3ng h\u00e0ng. Bi\u1ebft c\u1ee9 hai \u0111i\u1ec3m n\u1ed1i v\u1edbi nhau \u0111\u01b0\u1ee3c m\u1ed9t \u0111o\u1ea1n th\u1eb3ng. H\u1ecfi v\u1ebd \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 bao nhi\u00eau \u0111o\u1ea1n th\u1eb3ng? <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ \u0111o\u1ea1n th\u1eb3ng ","hint":"S\u1ed1 \u0111o\u1ea1n th\u1eb3ng = $\\dfrac{n . (n - 1)}{2}$","explain":" H\u01b0\u1edbng d\u1eabn:<\/span><br\/> V\u00ec m\u1ed7i \u0111i\u1ec3m n\u1ed1i v\u1edbi 1 \u0111i\u1ec3m kh\u00e1c \u0111\u01b0\u1ee3c 1 \u0111o\u1ea1n th\u1eb3ng <br\/> N\u00ean 1 \u0111i\u1ec3m n\u1ed1i v\u1edbi n \u0111i\u1ec3m \u0111\u01b0\u1ee3c n - 1 \u0111o\u1ea1n th\u1eb3ng <br\/> n \u0111i\u1ec3m n\u1ed1i v\u1edbi nhau \u0111\u01b0\u1ee3c <br\/> $\\dfrac{n.(n - 1)}{2}$ <br\/> (V\u00ec m\u1ed7i \u0111o\u1ea1n th\u1eb3ng \u0111\u00e3 \u0111\u01b0\u1ee3c t\u00ednh 2 l\u1ea7n n\u00ean k\u1ebft qu\u1ea3 \u0111em chia 2) <\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> V\u00ec qua 2 \u0111i\u1ec3m v\u1ebd \u0111\u01b0\u1ee3c m\u1ed9t \u0111o\u1ea1n th\u1eb3ng <br\/> N\u00ean qua 150 \u0111i\u1ec3m v\u1ebd \u0111\u01b0\u1ee3c s\u1ed1 \u0111o\u1ea1n th\u1eb3ng l\u00e0: <br\/> $\\dfrac{150 . (150 - 1)}{2}$ = 11175 (\u0111o\u1ea1n th\u1eb3ng) <br\/> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 11175 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2004","post_id":"829","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","content":"","correct":[[["16"]]],"list":[{"point":10,"width":50,"type_input":"","ques":"Cho n \u0111i\u1ec3m ph\u00e2n bi\u1ec7t. C\u1ee9 qua hai \u0111i\u1ec3m ta k\u1ebb m\u1ed9t \u0111o\u1ea1n th\u1eb3ng. Trong n \u0111i\u1ec3m kh\u00f4ng c\u00f3 3 \u0111i\u1ec3m n\u00e0o th\u1eb3ng h\u00e0ng. T\u00ednh n bi\u1ebft v\u1ebd \u0111\u01b0\u1ee3c 120 \u0111o\u1ea1n th\u1eb3ng. <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ \u0111i\u1ec3m ","hint":"T\u00ednh n theo c\u00f4ng th\u1ee9c: S\u1ed1 \u0111o\u1ea1n th\u1eb3ng = $\\dfrac{n . (n - 1)}{2}$","explain":" B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> V\u00ec qua 2 \u0111i\u1ec3m v\u1ebd \u0111\u01b0\u1ee3c m\u1ed9t \u0111o\u1ea1n th\u1eb3ng <br\/> N\u00ean qua n \u0111i\u1ec3m v\u1ebd \u0111\u01b0\u1ee3c s\u1ed1 \u0111o\u1ea1n th\u1eb3ng l\u00e0: <br\/> $\\dfrac{n . (n - 1)}{2}$ \u0111o\u1ea1n th\u1eb3ng <br\/> M\u00e0 s\u1ed1 \u0111o\u1ea1n th\u1eb3ng v\u1ebd \u0111\u01b0\u1ee3c l\u00e0 120 \u0111o\u1ea1n th\u1eb3ng n\u00ean ta c\u00f3: <br\/> $\\begin{align*}\\dfrac{n . (n - 1)}{2} &= 120 \\\\ n . (n - 1) &= 120 . 2 \\\\ n . (n - 1) &= 240 \\\\ n . (n - 1) &= 16 . 15 \\end{align*}$<br\/> $\\Rightarrow$ n = 16 hay qua 16 \u0111i\u1ec3m v\u1ebd \u0111\u01b0\u1ee3c 120 \u0111o\u1ea1n th\u1eb3ng <br\/> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 16 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2005","post_id":"829","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","content":"","correct":[[["190"]]],"list":[{"point":10,"width":50,"type_input":"","ques":"Cho 20 \u0111o\u1ea1n th\u1eb3ng trong \u0111\u00f3 m\u1ed7i \u0111o\u1ea1n th\u1eb3ng \u0111\u1ec1u c\u1eaft c\u00e1c \u0111o\u1ea1n th\u1eb3ng c\u00f2n l\u1ea1i, kh\u00f4ng c\u00f3 3 \u0111o\u1ea1n th\u1eb3ng n\u00e0o \u0111\u1ed3ng quy. T\u00ednh s\u1ed1 giao \u0111i\u1ec3m? <br\/> \u0110\u00e1p \u00e1n l\u00e0: _input_ giao \u0111i\u1ec3m ","hint":" S\u1ed1 giao \u0111i\u1ec3m = $\\dfrac{n . (n - 1)}{2}$","explain":" H\u01b0\u1edbng d\u1eabn:<\/span><br\/>V\u00ec 2 \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft nhau t\u1ea1o ra m\u1ed9t giao \u0111i\u1ec3m <br\/> N\u00ean 1 \u0111o\u1ea1n th\u1eb3ng c\u1eaft n \u0111o\u1ea1n th\u1eb3ng kh\u00e1c t\u1ea1o ra n - 1 giao \u0111i\u1ec3m <br\/> N\u00ean n \u0111o\u1ea1n th\u1eb3ng c\u1eaft nhau trong \u0111\u00f3 kh\u00f4ng c\u00f3 3 \u0111o\u1ea1n th\u1eb3ng n\u00e0o \u0111\u1ed3ng quy t\u1ea1o ra: $\\dfrac{n . (n - 1)}{2}$ giao \u0111i\u1ec3m <\/span> <br\/><br\/> B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> V\u00ec 2 \u0111o\u1ea1n th\u1eb3ng c\u1eaft nhau t\u1ea1o ra m\u1ed9t giao \u0111i\u1ec3m <br\/> N\u00ean 20 \u0111o\u1ea1n th\u1eb3ng c\u1eaft nhau kh\u00f4ng c\u00f3 3 \u0111o\u1ea1n th\u1eb3ng n\u00e0o \u0111\u1ed3ng quy t\u1ea1o ra s\u1ed1 giao \u0111i\u1ec3m l\u00e0: <br\/> $\\dfrac{20 . (20 - 1)}{2} = 190$ (giao \u0111i\u1ec3m) <br\/> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 190 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2006","post_id":"829","mon_id":"0","chapter_id":"0","question":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","options":{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["t","t","t","f"]],"list":[{"point":10,"image":"","col_name":["Kh\u1eb3ng \u0111\u1ecbnh","\u0110\u00fang","Sai"],"arr_ques":[" N\u1ebfu hai \u0111i\u1ec3m M, N c\u00f9ng thu\u1ed9c tia Ox sao cho OM < ON th\u00ec \u0111i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O v\u00e0 N "," N\u1ebfu hai \u0111i\u1ec3m M v\u00e0 N c\u00f9ng thu\u1ed9c tia Ox sao cho OM < ON th\u00ec OM + MN = ON","N\u1ebfu hai \u0111i\u1ec3m M, N c\u00f9ng thu\u1ed9c tia Ox sao cho OM < ON th\u00ec hai \u0111i\u1ec3m O v\u00e0 N n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M ","N\u1ebfu hai \u0111i\u1ec3m M, N c\u00f9ng thu\u1ed9c tia Ox sao cho OM < ON th\u00ec tia OM v\u00e0 tia ON l\u00e0 hai tia ph\u00e2n bi\u1ec7t"],"hint":"","explain":[" \u0110\u00daNG <\/b>v\u00ec: N\u1ebfu hai \u0111i\u1ec3m M, N c\u00f9ng thu\u1ed9c tia Ox th\u00ec OM v\u00e0 ON l\u00e0 hai tia tr\u00f9ng nhau m\u00e0 OM < ON n\u00ean \u0111i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O v\u00e0 N","<br\/> \u0110\u00daNG <\/b>v\u00ec: Theo c\u00e2u tr\u00ean \u0111\u00e3 ch\u1ec9 ra \u0111i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O v\u00e0 N n\u00ean OM + MN = ON ","<br\/> \u0110\u00daNG <\/b> v\u00ec: \u0110i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O v\u00e0 N n\u00ean hai \u0111i\u1ec3m O, N n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M ","<br\/> SAI <\/b> v\u00ec: Hai tia OM, ON c\u00f3 chung g\u1ed1c O <br\/> Hai \u0111i\u1ec3m M, N c\u00f9ng thu\u1ed9c tia Ox n\u00ean OM, ON c\u00f9ng thu\u1ed9c n\u1eeda \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ee9a tia Ox <br\/> N\u00ean hai tia OM v\u00e0 ON l\u00e0 hai tia tr\u00f9ng nhau"]}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2007","post_id":"829","mon_id":"0","chapter_id":"0","question":"Tr\u00ean tia Bt x\u00e1c \u0111\u1ecbnh 2 \u0111i\u1ec3m A v\u00e0 D sao cho BA = 15cm, BD = 27cm. H\u00e3y s\u1eafp x\u1ebfp c\u00e1c c\u00e2u sau \u0111\u1ec3 ch\u1ee9ng t\u1ecf \u0111i\u1ec3m A n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m B v\u00e0 D.","options":{"time":24,"part":[{"title":"Tr\u00ean tia Bt x\u00e1c \u0111\u1ecbnh 2 \u0111i\u1ec3m A v\u00e0 D sao cho BA = 15cm, BD = 27cm. H\u00e3y s\u1eafp x\u1ebfp c\u00e1c c\u00e2u sau \u0111\u1ec3 ch\u1ee9ng t\u1ecf \u0111i\u1ec3m A n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m B v\u00e0 D.","title_trans":"","temp":"sequence","correct":[[[2],[3],[1],[4]]],"list":[{"point":10,"image":"","left":["$\\Rightarrow$ Tia BA v\u00e0 tia BD tr\u00f9ng nhau ","Ta c\u00f3: BA = 15cm, BD = 27cm m\u00e0 15cm < 27cm n\u00ean BA < BD","Hai \u0111i\u1ec3m A v\u00e0 D c\u00f9ng thu\u1ed9c tia Bt","$\\Rightarrow$ \u0110i\u1ec3m A 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='img\/H615_K106.png' \/><\/center> <br\/> V\u00ec hai \u0111i\u1ec3m A, D c\u00f9ng thu\u1ed9c tia Bt <br\/> $\\Rightarrow$ tia BA v\u00e0 tia BD tr\u00f9ng nhau <br\/>Ta l\u1ea1i c\u00f3: BA = 15cm, BD = 27cm m\u00e0 15cm < 27cm n\u00ean BA < BD <br\/> $\\Rightarrow$ \u0110i\u1ec3m A n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m B v\u00e0 D"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2008","post_id":"829","mon_id":"0","chapter_id":"0","question":"Tr\u00ean tia Ay x\u00e1c \u0111\u1ecbnh 2 \u0111i\u1ec3m B v\u00e0 C sao cho AB = 5cm, AC = 7cm. H\u00e3y s\u1eafp x\u1ebfp c\u00e1c c\u00e2u sau \u0111\u1ec3 ch\u00fang t\u1ecf BA v\u00e0 BC l\u00e0 hai tia \u0111\u1ed1i nhau.","options":{"time":24,"part":[{"title":"Tr\u00ean tia Ay x\u00e1c \u0111\u1ecbnh 2 \u0111i\u1ec3m B v\u00e0 C sao cho AB = 5cm, AC = 7cm. H\u00e3y s\u1eafp x\u1ebfp c\u00e1c c\u00e2u sau \u0111\u1ec3 ch\u00fang t\u1ecf BA v\u00e0 BC l\u00e0 hai tia \u0111\u1ed1i nhau.","title_trans":"","temp":"sequence","correct":[[[2],[1],[3],[4]]],"list":[{"point":10,"image":"","left":["Ta c\u00f3: AB = 5cm; AC = 7cm m\u00e0 5cm < 7cm n\u00ean AB < AC ","V\u00ec B, C c\u00f9ng thu\u1ed9c tia Ay n\u00ean AB v\u00e0 AC l\u00e0 hai tia tr\u00f9ng nhau","N\u00ean \u0111i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C","$\\Rightarrow$ Tia BA v\u00e0 tia BC l\u00e0 hai tia \u0111\u1ed1i nhau"],"top":70,"hint":"","explain":"Ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_K108.png' \/><\/center> <br\/> V\u00ec hai \u0111i\u1ec3m B, C c\u00f9ng thu\u1ed9c tia Ay n\u00ean AB v\u00e0 AC l\u00e0 hai tia tr\u00f9ng nhau <br\/> Ta l\u1ea1i c\u00f3: AB = 5cm, AC = 7cm m\u00e0 5cm < 7cm n\u00ean AB < AC <br\/> $\\Rightarrow$ \u0110i\u1ec3m B n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m A v\u00e0 C <br\/> $\\Rightarrow$ Tia BA v\u00e0 tia BC l\u00e0 hai tia \u0111\u1ed1i nhau"}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2009","post_id":"829","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":10,"ques":"Tr\u00ean m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng cho 4 \u0111i\u1ec3m M, N, P, Q sao cho \u0111i\u1ec3m P n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N; \u0111i\u1ec3m N n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m P v\u00e0 Q. Bi\u1ebft MN = 6cm, MQ = 10cm, NP = 2cm. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y sai? ","select":["A. MN = PQ","B. MP > PN","C. MP = QN","D. NQ < NP"],"hint":"T\u00ednh PQ, NQ, MP r\u1ed3i so s\u00e1nh v\u00e0 ch\u1ecdn \u0111\u00e1p \u00e1n sai","explain":" T\u00f3m t\u1eaft: <\/b> <br\/> 4 \u0111i\u1ec3m M, N, P, Q c\u00f9ng thu\u1ed9c m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng <br\/> \u0110i\u1ec3m P n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M, N <br\/> \u0110i\u1ec3m N n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m P, Q <br\/> MN = 6cm <br\/> MQ = 10cm <br\/> NP = 2cm <br\/> H\u00e3y ch\u1ecdn \u0111\u00e1p \u00e1n sai? <br\/><br\/> <\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> <center><img src='img\/H615_K110.png' \/><\/center><br\/> V\u00ec \u0111i\u1ec3m P n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 N n\u00ean ta c\u00f3: <br\/> $\\begin{align*} MP + PN &= MN \\\\ MP + 2cm &= 6cm \\\\ MP &= 6cm - 2cm \\\\ MP &= 4cm \\end{align*}$ <br\/> V\u00ec \u0111i\u1ec3m P n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M, N; \u0111i\u1ec3m N n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m P, Q n\u00ean \u0111i\u1ec3m N n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M, Q <br\/> $\\begin{align*} MN + NQ &= MQ \\\\ 6cm + NQ &= 10cm \\\\ NQ &= 10cm - 6cm \\\\ NQ &= 4cm \\end{align*}$ <br\/> V\u00ec \u0111i\u1ec3m N n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m P v\u00e0 Q n\u00ean ta c\u00f3: <br\/> $\\begin{align*} PQ &= PN + NQ \\\\ PQ &= 2cm + 4cm \\\\ PQ &= 6cm \\end{align*}$ <br\/> Ta c\u00f3: MN 6cm, PQ = 6cm n\u00ean MN = PQ <br\/> MP = 4cm, PN = 2cm n\u00ean MP > PN <br\/> MP = 4cm, QN = 4cm n\u00ean MP = QN <br\/> NQ = 4cm, NP = 2cm m\u00e0 4cm > 2cm n\u00ean NQ > NP v\u1eady kh\u1eb3ng \u0111\u1ecbnh NQ < NP l\u00e0 sai <\/b> <br\/> V\u1eady \u0111\u00e1p \u00e1n sai l\u00e0: D<\/span> ","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"},{"id":"2010","post_id":"829","mon_id":"0","chapter_id":"0","question":"","options":{"time":24,"part":[{"title":"","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":10,"ques":"H\u00e3y ch\u1ecdn c\u00e2u tr\u1ea3 l\u1eddi \u0111\u00fang nh\u1ea5t. <br\/> Cho M, N l\u00e0 hai \u0111i\u1ec3m tr\u00ean tia Ox, bi\u1ebft OM = 6cm, MN = 2cm. Th\u00ec: ","select":["A. ON = 4cm","B. ON = 8cm","C. ON = 4cm ho\u1eb7c ON = 8cm","D. ON = 12cm ho\u1eb7c ON = 4cm"],"hint":"C\u00f3 hai tr\u01b0\u1eddng h\u1ee3p, v\u1ebd h\u00ecnh r\u1ed3i t\u00ednh ON","explain":" T\u00f3m t\u1eaft: <\/b> <br\/> M, N thu\u1ed9c tia Ox <br\/> OM = 6cm <br\/> MN = 2cm <br\/> ON = ? <br\/><br\/> <\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3 h\u00ecnh v\u1ebd: <br\/> Tr\u01b0\u1eddng h\u1ee3p 1: <\/b> Hai \u0111i\u1ec3m O, N n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M <br\/> <center><img src='img\/H615_K111.png' \/><\/center><br\/> V\u00ec O, N n\u1eb1m c\u00f9ng ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M; MN = 2cm, MO = 6cm m\u00e0 2cm < 6cm n\u00ean MN < MO <br\/> $\\Rightarrow$ \u0110i\u1ec3m N n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m M v\u00e0 O <br\/> $\\begin{align*} ON + MN &= OM \\\\ ON + 2cm &= 6cm \\\\ ON &= 6cm - 2cm \\\\ ON &= 4cm \\end{align*}$ <br\/> Tr\u01b0\u1eddng h\u1ee3p 2: <\/b> Hai \u0111i\u1ec3m O, N n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M <br\/> <center><img src='img\/H615_K112.png' \/><\/center> <br\/> V\u00ec hai \u0111i\u1ec3m O, N n\u1eb1m kh\u00e1c ph\u00eda \u0111\u1ed1i v\u1edbi \u0111i\u1ec3m M n\u00ean \u0111i\u1ec3m M n\u1eb1m gi\u1eefa hai \u0111i\u1ec3m O, N <br\/> $\\begin{align*} \\Rightarrow ON &= OM + MN \\\\ ON &= 6cm + 2cm \\\\ ON &= 8cm \\end{align*}$ <br\/> V\u1eady ON = 4cm ho\u1eb7c ON = 8cm <br\/> \u0110\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t l\u00e0: C <\/span> ","column":2}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:57"}]}