{"segment":[{"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 tam gi\u00e1c $ABC$ c\u00f3 $AC > AB$. Khi \u0111\u00f3:","select":["A. $\\widehat{B} = \\widehat{C}$ ","B. $\\widehat{B} > \\widehat{C}$","C. $\\widehat{B} < \\widehat{C}$"],"hint":"D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh l\u1edbn h\u01a1n","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D01.png' \/><\/center> <br\/> Trong $\\triangle{ABC}$ c\u00f3 $AC > AB$ <br\/> N\u00ean theo \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n th\u00ec $\\widehat{B} > \\widehat{C}$ <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":3}]}],"id_ques":1801},{"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 tam gi\u00e1c $ABC$ c\u00f3 $\\widehat{A} > \\widehat{B}$. Khi \u0111\u00f3:","select":["A. $BC > AC$ ","B. $BC = AC$","C. $BC < AC$"],"hint":"D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd v\u1ec1 c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c l\u1edbn h\u01a1n","explain":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D02.png' \/><\/center> <br\/> Trong $\\triangle{ABC}$ c\u00f3 $\\widehat{A} > \\widehat{B}$ <br\/> N\u00ean theo \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n th\u00ec $BC > AC$ <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":3}]}],"id_ques":1802},{"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":"Trong m\u1ed9t tam gi\u00e1c, \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh nh\u1ecf nh\u1ea5t l\u00e0 g\u00f3c g\u00ec?","select":["A. G\u00f3c vu\u00f4ng ","B. G\u00f3c nh\u1ecdn","C. G\u00f3c t\u00f9"],"hint":"","explain":" Theo \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong m\u1ed9t tam gi\u00e1c th\u00ec g\u00f3c \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh nh\u1ecf nh\u1ea5t ph\u1ea3i l\u00e0 g\u00f3c nh\u1ecf nh\u1ea5t <br\/> M\u00e0 g\u00f3c nh\u1ecf nh\u1ea5t trong tam gi\u00e1c l\u00e0 g\u00f3c nh\u1ecdn <br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B. G\u00f3c nh\u1ecdn<\/span> ","column":3}]}],"id_ques":1803},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["B","CBA","ABC"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Cho h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D09.png' \/><\/center> <br\/> G\u00f3c l\u1edbn nh\u1ea5t l\u00e0 g\u00f3c _input_ ","hint":"","explain":" V\u00ec: $6cm < 8cm < 13cm$ n\u00ean $BC < AB < AC$ <br\/> $\\Rightarrow$ $\\widehat{A} < \\widehat{C} < \\widehat{B}$ (\u0111\u1ecbnh l\u00fd quan h\u1ec7 gi\u1eefa g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) <br\/> V\u1eady g\u00f3c l\u1edbn nh\u1ea5t l\u00e0 g\u00f3c $B$ <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0 : $B$ <\/span> "}]}],"id_ques":1804},{"time":24,"part":[{"title":"\u0110i\u1ec1n \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["C","BCA","ACB"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Cho h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D10.png' \/><\/center> <br\/> G\u00f3c nh\u1ecf nh\u1ea5t l\u00e0 g\u00f3c _input_ ","hint":"","explain":" V\u00ec: $5cm < 7cm < 10cm$ n\u00ean $AB < BC < AC$ <br\/> $\\Rightarrow$ $\\widehat{C} < \\widehat{A} < \\widehat{B}$ (\u0111\u1ecbnh l\u00fd quan h\u1ec7 gi\u1eefa g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) <br\/> V\u1eady g\u00f3c nh\u1ecf nh\u1ea5t l\u00e0 g\u00f3c $C$ <br\/> <span class='basic_pink'> \u0110\u00e1p \u00e1n c\u1ea7n \u0111i\u1ec1n l\u00e0 : $C$ <\/span> "}]}],"id_ques":1805},{"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 tam gi\u00e1c $MNP$ vu\u00f4ng t\u1ea1i $M$, \u0111i\u1ec3m $I$ n\u1eb1m gi\u1eefa $M$ v\u00e0 $P$. So s\u00e1nh c\u00e1c \u0111\u1ed9 d\u00e0i $NI$ v\u00e0 $NP$.","select":["A. $NI = NP$ ","B. $NI > NP$","C. $NI < NP$"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> So s\u00e1nh g\u00f3c $M$ v\u1edbi g\u00f3c $P$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> So s\u00e1nh g\u00f3c $NIP$ v\u1edbi g\u00f3c $M$, g\u00f3c $NIP$ v\u1edbi g\u00f3c $P$ <br\/> <b> B\u01b0\u1edbc 3: <\/b> So s\u00e1nh $NI$ v\u00e0 $NP$ d\u1ef1a v\u00e0o vi\u1ec7c so s\u00e1nh g\u00f3c \u0111\u1ed1i di\u1ec7n <br\/><br\/> <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/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D03.png' \/><\/center> <br\/> V\u00ec $\\triangle{MNP}$ vu\u00f4ng t\u1ea1i $M$ n\u00ean $\\widehat{M} > \\widehat{P}$ (1) <br\/> C\u00f3 $\\widehat{NIP}$ l\u00e0 g\u00f3c ngo\u00e0i c\u1ee7a $\\triangle{NMI}$ <br\/> $\\Rightarrow$ $\\widehat{NIP} = \\widehat{M} + \\widehat{MNI}$ hay $\\widehat{NIP} > \\widehat{M}$ (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow \\widehat{NIP} > \\widehat{P}$ <br\/> X\u00e9t tam gi\u00e1c $NIP$ c\u00f3 $\\widehat{NIP} > \\widehat{P}$ <br\/> $\\Rightarrow NP > NI$ (\u0111\u1ecbnh l\u00fd v\u1ec1 c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c l\u1edbn h\u01a1n) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. $NI < NP$ <\/span> ","column":3}]}],"id_ques":1806},{"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 $\\triangle{ABC}$ c\u00f3 $AB = 4cm$; $BC = 7cm$; $AC = 9cm$. So s\u00e1nh c\u00e1c g\u00f3c c\u1ee7a tam gi\u00e1c $ABC$. ","select":["A. $\\widehat{A} > \\widehat{B} > \\widehat{C} $ ","B. $ \\widehat{A} < \\widehat{B} < \\widehat{C} $","C. $ \\widehat{C} < \\widehat{A} < \\widehat{B}$ ","D. $\\widehat{B} < \\widehat{A} < \\widehat{C} $ "],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D04.png' \/><\/center> <br\/> Ta c\u00f3: $4cm < 7cm < 9cm$ n\u00ean $AB < BC < AC$ <br\/> $\\Rightarrow \\widehat{C} < \\widehat{A} < \\widehat{B}$ (g\u00f3c \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh l\u1edbn h\u01a1n) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}],"id_ques":1807},{"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 $\\triangle{ABC}$ vu\u00f4ng t\u1ea1i $A$ c\u00f3 $AB = 4cm$, $BC = 5cm$. So s\u00e1nh c\u00e1c g\u00f3c c\u1ee7a tam gi\u00e1c $ABC$. ","select":["A. $\\widehat{A} > \\widehat{B} > \\widehat{C} $ ","B. $ \\widehat{A} < \\widehat{B} < \\widehat{C} $","C. $ \\widehat{B} < \\widehat{C} < \\widehat{A}$ ","D. $\\widehat{B} < \\widehat{A} < \\widehat{C} $ "],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd Pitago t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh $AC$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n so s\u00e1nh c\u00e1c g\u00f3c c\u1ee7a tam gi\u00e1c $ABC$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> V\u00ec $\\triangle{ABC}$ vu\u00f4ng t\u1ea1i $A$ n\u00ean theo \u0111\u1ecbnh l\u00fd Pitago ta c\u00f3: <br\/> $\\begin{align} AB^2 + AC^2 &= BC^2 \\\\ 4^2 + AC^2 &= 5^2 \\\\ AC^2 &= 9 \\\\ \\Rightarrow AC &= 3(cm) \\end{align}$ <br\/> V\u00ec $3cm < 4cm < 5cm$ n\u00ean $ AC < AB < BC$ <br\/> $\\Rightarrow \\widehat{B} < \\widehat{C} < \\widehat{A}$ (\u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}],"id_ques":1808},{"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":"So s\u00e1nh c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c $ABC$, bi\u1ebft $\\widehat{A} = 100^{o}$; $\\widehat{B} = 50^{o}$. ","select":["A. $AC < AB < BC$ ","B. $ AB = AC < BC $","C. $ BC < AB < AC $","D. $AB < AC < BC $ "],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh s\u1ed1 \u0111o g\u00f3c $C$ d\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd t\u1ed5ng ba g\u00f3c trong m\u1ed9t tam gi\u00e1c <br\/> <b> B\u01b0\u1edbc 2: <\/b> So s\u00e1nh c\u00e1c c\u1ea1nh c\u1ee7a $\\triangle{ABC}$ d\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd v\u1ec1 c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c l\u1edbn h\u01a1n <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D05.png' \/><\/center> <br\/> Theo \u0111\u1ecbnh l\u00fd t\u1ed5ng 3 g\u00f3c trong m\u1ed9t tam gi\u00e1c ta c\u00f3: <br\/> $\\begin{align} \\widehat{A} + \\widehat{B} + \\widehat{C} &= 180^{o} \\\\ 100^{o} + 50^{o} + \\widehat{C} &= 180^{o} \\\\ 150^{o} + \\widehat{C} &= 180^{o} \\\\ \\widehat{C} &= 180^{o} - 150^{o} \\\\ \\widehat{C} &= 30^{o} \\end{align}$ <br\/> V\u00ec $ 30^{o} < 50^{o} < 100^{o}$ $\\Rightarrow \\widehat{C} < \\widehat{B} < \\widehat{A}$<br\/> $\\Rightarrow AB < AC < BC$ (\u0111\u1ecbnh l\u00fd v\u1ec1 c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c l\u1edbn h\u01a1n) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> ","column":2}]}],"id_ques":1809},{"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":"Tam gi\u00e1c $ABC$ c\u00e2n t\u1ea1i $A$ c\u00f3 s\u1ed1 \u0111o g\u00f3c $A$ l\u1edbn h\u01a1n $60^{o}$. H\u00e3y so s\u00e1nh $AB$ v\u00e0 $BC$. ","select":["A. $AB > BC$ ","B. $ AB = BC $","C. $ AB < BC $"],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd t\u1ed5ng ba g\u00f3c trong m\u1ed9t tam gi\u00e1c so s\u00e1nh $\\widehat{A}$ v\u1edbi $\\widehat{C}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c so s\u00e1nh $AB$ v\u00e0 $BC$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Tam gi\u00e1c $ABC$ c\u00e2n t\u1ea1i $A$ $\\Rightarrow AB = AC, \\widehat{B} = \\widehat{C}$ <br\/> Ta c\u00f3: $\\widehat{A} + \\widehat{B} + \\widehat{C} = 180^{o}$ m\u00e0 $\\widehat{A} > 60^{o}$ <br\/> N\u00ean $\\widehat{B} + \\widehat{C} < 180^{o} - 60^{o} = 120^{o}$ <br\/> $\\Rightarrow$ $\\widehat{B} = \\widehat{C} < 60^{o} < \\widehat{A}$ <br\/> $\\Rightarrow$ $AB < BC$ (\u0111\u1ecbnh l\u00fd v\u1ec1 c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c l\u1edbn h\u01a1n) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":3}]}],"id_ques":1810},{"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":"Tam gi\u00e1c $ABC$ vu\u00f4ng t\u1ea1i $A$, bi\u1ebft $\\widehat{C} < 45^{o}$ . H\u00e3y so s\u00e1nh ba c\u1ea1nh c\u1ee7a tam gi\u00e1c $ABC$. ","select":["A. $AB > BC > AC$ ","B. $ AC < BC < AB$","C. $ AB < BC < AC $","D. $AB < AC < BC$ "],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd t\u1ed5ng ba g\u00f3c trong m\u1ed9t tam gi\u00e1c so s\u00e1nh c\u00e1c g\u00f3c c\u1ee7a tam gi\u00e1c $ABC$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> D\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c so s\u00e1nh c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c $ABC$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> $\\triangle{ABC}$ c\u00f3: $\\widehat{A} = 90^{o}; \\widehat{C} < 45^{o}$ <br\/> $\\widehat{A} + \\widehat{B} + \\widehat{C} = 180^{o}$ (\u0111\u1ecbnh l\u00fd t\u1ed5ng ba g\u00f3c trong tam gi\u00e1c) <br\/> $\\Rightarrow \\widehat{B} + \\widehat{C} = 90^{o}$ <br\/> V\u00ec $\\widehat{C} < 45^{o}$ n\u00ean $\\widehat{B} > 45^{o}$ <br\/> $\\Rightarrow \\widehat{C} < \\widehat{B} < \\widehat{A}$ <br\/> $\\Rightarrow AB < AC < BC$ (\u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> ","column":2}]}],"id_ques":1811},{"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":"Tam gi\u00e1c $MNP$ c\u00f3 $\\widehat{M} = 80^{o}; \\widehat{N} = 40^{o}$ . H\u00e3y so s\u00e1nh ba c\u1ea1nh c\u1ee7a tam gi\u00e1c $MNP$. ","select":["A. $NP > MN > MP$ ","B. $ NP > MP > MN$","C. $MN > MP > NP $","D. $MN > NP > MN$ "],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ednh s\u1ed1 \u0111o g\u00f3c $P$ d\u1ef1a v\u00e0o \u0111\u1ecbnh l\u00fd t\u1ed5ng 3 g\u00f3c trong tam gi\u00e1c <br\/> <b> B\u01b0\u1edbc 2: <\/b> So s\u00e1nh c\u00e1c c\u1ea1nh c\u1ee7a tam gi\u00e1c $MNP$ <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Tam gi\u00e1c $MNP$ c\u00f3: <br\/> $\\begin{align} \\widehat{M} + \\widehat{N} + \\widehat{P} &= 180^{o} (\\text{t\u1ed5ng} \\hspace{0,2cm} \\text{ba} \\hspace{0,2cm} \\text{g\u00f3c} \\hspace{0,2cm} \\text{trong} \\hspace{0,2cm} \\text{tam} \\hspace{0,2cm} \\text{gi\u00e1c}) \\\\ 80^{o} + 40^{o} + \\widehat{P} &= 180^{o} \\\\ 120^{o} + \\widehat{P} &= 180^{o} \\\\ \\widehat{P} &= 180^{o} - 120^{o} \\\\ \\widehat{P} &= 60^{o} \\end{align}$ <br\/> V\u00ec $80^{o} > 60^{o} > 40^{o}$ n\u00ean $\\widehat{M} > \\widehat{P} > \\widehat{N}$ <br\/> $\\Rightarrow NP > MN > MP$ (\u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A <\/span> ","column":2}]}],"id_ques":1812},{"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":"Tam gi\u00e1c $MNP$ c\u00f3 $\\widehat{M}$ l\u00e0 g\u00f3c t\u00f9, $\\widehat{N} > \\widehat{P}$. Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang? ","select":["A. $MN > MP > NP$ ","B. $ MP > MN > NP$","C. $NP > MN > MP$","D. $NP > MP > MN$ "],"hint":"","explain":" Trong tam gi\u00e1c $MNP$ c\u00f3 $\\widehat{M}$ l\u00e0 g\u00f3c t\u00f9 <br\/> N\u00ean $\\widehat{M}$ l\u00e0 g\u00f3c l\u1edbn nh\u1ea5t trong tam gi\u00e1c (1) <br\/> M\u1eb7t kh\u00e1c ta c\u00f3: $\\widehat{N} > \\widehat{P}$ (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow \\widehat{M} > \\widehat{N} > \\widehat{P}$ <br\/> $\\Rightarrow NP > MP > MN$ (\u0111\u1ecbnh l\u00fd quan h\u1ec7 gi\u1eefa g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> ","column":2}]}],"id_ques":1813},{"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='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D11.png' \/><\/center> <br\/> Lan kh\u1eb3ng \u0111\u1ecbnh: \" $\\widehat{M} < \\widehat{K} < \\widehat{L}$ \". <b> \u0110\u00fang <\/b> hay <b> sai <\/b>? ","select":["A. \u0110\u00daNG ","B. SAI"],"hint":"","explain":" Theo h\u00ecnh v\u1ebd ta c\u00f3: $KL = x$, $LM = 2x$, $KM = 2x + 1$ <br\/> V\u00ec $x < 2x < 2x + 1$ n\u00ean $KL < LM < KM$ <br\/> $\\Rightarrow$ $\\widehat{M} < \\widehat{K} < \\widehat{L}$ (\u0111\u1ecbnh l\u00fd quan h\u1ec7 gi\u1eefa g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) <br\/> V\u1eady Lan kh\u1eb3ng \u0111\u1ecbnh \"$ \\widehat{M} < \\widehat{K} < \\widehat{L}$ \" l\u00e0 <span class='basic_pink'> \u0110\u00daNG <\/span> ","column":2}]}],"id_ques":1814},{"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":"Tam gi\u00e1c $ABC$ c\u00f3 chu vi l\u00e0 $45cm$, $AB : AC : BC = 2 : 3 : 4$. Nh\u01b0 v\u1eady g\u00f3c nh\u1ecf nh\u1ea5t trong tam gi\u00e1c \u0111\u00f3 l\u00e0: ","select":["A. $\\widehat{BAC}$ ","B. $ \\widehat{ACB}$","C. $\\widehat{ABC}$","D. C\u1ea3 ba \u0111\u00e1p \u00e1n tr\u00ean \u0111\u1ec1u sai "],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> L\u1eadp t\u1ec9 l\u1ec7 th\u1ee9c v\u1ec1 ba c\u1ea1nh c\u1ee7a tam gi\u00e1c <br\/> <b> B\u01b0\u1edbc 2: <\/b> D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t c\u1ee7a d\u00e3y t\u1ec9 s\u1ed1 b\u1eb1ng nhau t\u00ednh s\u1ed1 \u0111o ba c\u1ea1nh c\u1ee7a tam gi\u00e1c <br\/> <b> B\u01b0\u1edbc 3: <\/b> So s\u00e1nh c\u00e1c g\u00f3c c\u1ee7a tam gi\u00e1c $ABC$ xem g\u00f3c n\u00e0o l\u1edbn nh\u1ea5t <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3: $AB : AC : BC = 2 : 3 : 4$ $\\Rightarrow \\dfrac{AB}{2} = \\dfrac{AC}{3} = \\dfrac{BC}{4}$ <br\/> Theo t\u00ednh ch\u1ea5t c\u1ee7a d\u00e3y t\u1ec9 s\u1ed1 b\u1eb1ng nhau ta c\u00f3: <br\/> $\\dfrac{AB}{2} = \\dfrac{AC}{3} = \\dfrac{BC}{4} = \\dfrac{AB + AC + BC}{2 + 3 + 4} = \\dfrac{45}{9} = 5$ <br\/> $\\Rightarrow $ $\\begin{cases} AB = 2 . 5 = 10 (cm) \\\\ AC = 3 . 5 = 15 (cm) \\\\ BC = 4 . 5 = 20 (cm) \\end{cases}$ <br\/> V\u00ec $10 < 15 < 20$ n\u00ean $AB < AC < BC$ <br\/> $\\Rightarrow \\widehat{C} < \\widehat{B} < \\widehat{A}$ hay g\u00f3c nh\u1ecf nh\u1ea5t l\u00e0 $\\widehat{ACB}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B <\/span> ","column":2}]}],"id_ques":1815},{"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":"Tam gi\u00e1c $ABC$ c\u00f3 chu vi l\u00e0 $30cm$, $AB : AC : BC = 3 : 5 : 7$. So s\u00e1nh c\u00e1c g\u00f3c c\u1ee7a tam gi\u00e1c $ABC$. ","select":["A. $\\widehat{A} < \\widehat{B} < \\widehat{C}$ ","B. $ \\widehat{A} < \\widehat{C} < \\widehat{B}$","C. $\\widehat{C} < \\widehat{B} < \\widehat{A}$","D. $\\widehat{C} < \\widehat{A} < \\widehat{B}$ "],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> L\u1eadp t\u1ec9 l\u1ec7 th\u1ee9c v\u1ec1 ba c\u1ea1nh c\u1ee7a tam gi\u00e1c <br\/> <b> B\u01b0\u1edbc 2: <\/b> D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t c\u1ee7a d\u00e3y t\u1ec9 s\u1ed1 b\u1eb1ng nhau t\u00ednh s\u1ed1 \u0111o ba c\u1ea1nh c\u1ee7a tam gi\u00e1c <br\/> <b> B\u01b0\u1edbc 3: <\/b> So s\u00e1nh c\u00e1c g\u00f3c c\u1ee7a tam gi\u00e1c $ABC$ xem g\u00f3c n\u00e0o l\u1edbn nh\u1ea5t <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Theo \u0111\u1ec1 b\u00e0i ta c\u00f3: $AB : AC : BC = 3 : 5 : 7$ $\\Rightarrow \\dfrac{AB}{3} = \\dfrac{AC}{5} = \\dfrac{BC}{7}$ <br\/> Theo t\u00ednh ch\u1ea5t c\u1ee7a d\u00e3y t\u1ec9 s\u1ed1 b\u1eb1ng nhau ta c\u00f3: <br\/> $\\dfrac{AB}{3} = \\dfrac{AC}{5} = \\dfrac{BC}{7} = \\dfrac{AB + AC + BC}{3 + 5 + 7} = \\dfrac{30}{15} = 2$ <br\/> $\\Rightarrow $ $\\begin{cases} AB = 3 . 2 = 6 (cm) \\\\ AC = 5 . 2 = 10 (cm) \\\\ BC = 7 . 2 = 14 (cm) \\end{cases}$ <br\/> V\u00ec $6 < 10 < 14$ n\u00ean $AB < AC < BC$ <br\/> $\\Rightarrow \\widehat{C} < \\widehat{B} < \\widehat{A}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C <\/span> ","column":2}]}],"id_ques":1816},{"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":"Tam gi\u00e1c $MNP$ c\u00f3 $MN = 5cm$, $NP = 6cm$, $MP = 7cm$. G\u1ecdi $\\widehat{M_{1}}$, $\\widehat{N_{1}}$, $\\widehat{P_{1}}$ theo th\u1ee9 t\u1ef1 l\u00e0 g\u00f3c ngo\u00e0i t\u1ea1i \u0111\u1ec9nh $M, N, P$ c\u1ee7a tam gi\u00e1c \u0111\u00f3. Trong c\u00e1c kh\u1eb3ng \u0111\u1ecbnh sau kh\u1eb3ng \u0111\u1ecbnh n\u00e0o \u0111\u00fang? ","select":["A. $\\widehat{M_{1}} < \\widehat{N_{1}} < \\widehat{P_{1}}$ ","B. $ \\widehat{P_{1}} < \\widehat{N_{1}} < \\widehat{M_{1}}$","C. $\\widehat{M_{1}} > \\widehat{P_{1}} < \\widehat{N_{1}}$","D. $\\widehat{N_{1}} < \\widehat{M_{1}} < \\widehat{P_{1}}$ "],"hint":"","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> So s\u00e1nh c\u00e1c g\u00f3c $M, N, P$ c\u1ee7a tam gi\u00e1c <br\/> <b> B\u01b0\u1edbc 2: <\/b> So s\u00e1nh c\u00e1c g\u00f3c $\\widehat{M_{1}}, \\widehat{N_{1}}, \\widehat{P_{1}}$ <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D06.png' \/><\/center> <br\/> V\u00ec $5cm < 6cm < 7cm$ n\u00ean $MN < NP < MP$ <br\/> $\\Rightarrow \\widehat{P} < \\widehat{M} < \\widehat{N}$ (\u0111\u1ecbnh l\u00fd g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) (1) <br\/> V\u00ec $\\widehat{M_{1}}, \\widehat{N_{1}}, \\widehat{P_{1}}$ l\u00e0 c\u00e1c g\u00f3c ngo\u00e0i c\u1ee7a tam gi\u00e1c $MNP$ n\u00ean ta c\u00f3: <br\/> $\\begin{cases} \\widehat{M_{1}} = \\widehat{MNP} + \\widehat{MPN} \\\\ \\widehat{N_{1}} = \\widehat{NMP} + \\widehat{MPN} \\\\ \\widehat{P_{1}} = \\widehat{NMP} + \\widehat{MNP} \\end{cases}$ (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow$ $\\widehat{N_{1}} < \\widehat{M_{1}} < \\widehat{P_{1}}$ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D <\/span> ","column":2}]}],"id_ques":1817},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["t","t","f"]],"list":[{"point":5,"image":"","col_name":["Kh\u1eb3ng \u0111\u1ecbnh","\u0110\u00fang","Sai"],"arr_ques":[" Trong m\u1ed9t tam gi\u00e1c t\u00f9, c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c t\u00f9 l\u00e0 c\u1ea1nh l\u1edbn nh\u1ea5t ","Trong m\u1ed9t tam gi\u00e1c, \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh nh\u1ecf nh\u1ea5t l\u00e0 g\u00f3c nh\u1ecdn "," Trong m\u1ed9t tam gi\u00e1c, \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh l\u1edbn nh\u1ea5t l\u00e0 g\u00f3c t\u00f9"],"hint":"","explain":[" \u0110\u00daNG v\u00ec: Trong tam gi\u00e1c g\u00f3c t\u00f9 l\u00e0 g\u00f3c l\u1edbn nh\u1ea5t. <br\/> Do \u0111\u00f3 c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c t\u00f9 l\u00e0 c\u1ea1nh l\u1edbn nh\u1ea5t (theo \u0111\u1ecbnh l\u00fd v\u1ec1 g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) "," <br\/> \u0110\u00daNG v\u00ec: V\u00ec g\u00f3c nh\u1ecf nh\u1ea5t trong tam gi\u00e1c l\u00e0 g\u00f3c nh\u1ecdn, n\u00ean \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh nh\u1ecf nh\u1ea5t l\u00e0 g\u00f3c nh\u1ecdn ","<br\/> SAI v\u00ec: Trong tam gi\u00e1c nh\u1ecdn \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh l\u1edbn nh\u1ea5t l\u00e0 g\u00f3c nh\u1ecdn <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D07.png' \/><\/center> "]}]}],"id_ques":1818},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00fang hay sai","title_trans":"","temp":"true_false","correct":[["t","f","f"]],"list":[{"point":5,"image":"","col_name":["Kh\u1eb3ng \u0111\u1ecbnh","\u0110\u00fang","Sai"],"arr_ques":[" Trong tam gi\u00e1c vu\u00f4ng, c\u1ea1nh huy\u1ec1n l\u00e0 c\u1ea1nh l\u1edbn nh\u1ea5t ","Trong m\u1ed9t tam gi\u00e1c, c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c nh\u1ecdn l\u00e0 c\u1ea1nh nh\u1ecf nh\u1ea5t "," Trong m\u1ed9t tam gi\u00e1c, \u0111\u1ed1i di\u1ec7n c\u1ea1nh l\u1edbn nh\u1ea5t l\u00e0 g\u00f3c vu\u00f4ng"],"hint":"","explain":[" \u0110\u00daNG v\u00ec g\u00f3c nh\u1ecf nh\u1ea5t trong tam gi\u00e1c l\u00e0 g\u00f3c nh\u1ecdn, n\u00ean \u0111\u1ed5i di\u1ec7n v\u1edbi c\u1ea1nh nh\u1ecf nh\u1ea5t l\u00e0 g\u00f3c nh\u1ecdn "," <br\/> SAI v\u00ec n\u1ebfu trong tam gi\u00e1c c\u00f3 c\u1ea3 ba g\u00f3c \u0111\u1ec1u l\u00e0 g\u00f3c nh\u1ecdn th\u00ec c\u1ea1nh l\u1edbn nh\u1ea5t c\u0169ng l\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c nh\u1ecdn ","<br\/> SAI v\u00ec c\u00f3 tam gi\u00e1c c\u1ea3 ba g\u00f3c \u0111\u1ec1u l\u00e0 g\u00f3c nh\u1ecdn th\u00ec c\u1ea1nh l\u1edbn nh\u1ea5t c\u0169ng \u0111\u1ed1i di\u1ec7n v\u1edbi g\u00f3c nh\u1ecdn ho\u1eb7c trong tam gi\u00e1c t\u00f9 th\u00ec g\u00f3c \u0111\u1ed1i di\u1ec7n v\u1edbi c\u1ea1nh l\u1edbn nh\u1ea5t l\u00e0 g\u00f3c t\u00f9 "]}]}],"id_ques":1819},{"time":24,"part":[{"title":"\u0110i\u1ec1n d\u1ea5u th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[[">"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" Cho h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/hinhhoc/bai17/lv1/img\/H7C3B17_D08.png' \/><\/center> <br\/> Bi\u1ebft $AB = CB$. H\u00e3y \u0111i\u1ec1n d\u1ea5u $\">\"$, $\"<\"$ ho\u1eb7c $\"=\"$ th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng. <br\/> $AB$ _input_ $BD$ ","hint":"So s\u00e1nh g\u00f3c $C_{2}$ v\u00e0 g\u00f3c $D_{3}$ sau \u0111\u00f3 so s\u00e1nh g\u00f3c $A_{1}$ v\u00e0 g\u00f3c $D_{3}$. T\u1eeb \u0111\u00f3 ta so s\u00e1nh \u0111\u01b0\u1ee3c $AB$ v\u00e0 $BD$","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> So s\u00e1nh g\u00f3c $C_{2}$ v\u00e0 g\u00f3c $D_{3}$ b\u1eb1ng c\u00e1ch x\u00e9t g\u00f3c ngo\u00e0i c\u1ee7a tam gi\u00e1c $BDC$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> So s\u00e1nh g\u00f3c $A_{1}$ v\u00e0 g\u00f3c $D_{3}$ r\u1ed3i so s\u00e1nh $AB$ v\u00e0 $BD$ d\u1ef1a v\u00e0o quan h\u1ec7 gi\u1eefa g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> X\u00e9t tam gi\u00e1c $BDC$ c\u00f3 $\\widehat{D_{3}}$ l\u00e0 g\u00f3c ngo\u00e0i t\u1ea1i \u0111\u1ec9nh $D$ <br\/> $\\Rightarrow$ $\\widehat{D_{3}} = \\widehat{C_{2}} + \\widehat{DBC}$ (\u0111\u1ecbnh l\u00fd g\u00f3c ngo\u00e0i c\u1ee7a tam gi\u00e1c) <br\/> Hay $\\widehat{D_{3}} > \\widehat{C_{2}}$ (1) <br\/> M\u1eb7t kh\u00e1c ta c\u00f3: $AB = CB$ (gt) <br\/> $\\Rightarrow$ $\\triangle{ABC}$ c\u00e2n t\u1ea1i $B$ (\u0111\u1ecbnh ngh\u0129a tam gi\u00e1c c\u00e2n) <br\/> $\\Rightarrow$ $\\widehat{A_{1}} = \\widehat{C_{2}}$ (t\u00ednh ch\u1ea5t tam gi\u00e1c c\u00e2n) (2) <br\/> T\u1eeb (1) v\u00e0 (2) $\\Rightarrow$ $\\widehat{D_{3}} > \\widehat{A_{1}}$ <br\/> $\\Rightarrow$ $AB > BD$ (\u0111\u1ecbnh l\u00fd quan h\u1ec7 gi\u1eef g\u00f3c v\u00e0 c\u1ea1nh \u0111\u1ed1i di\u1ec7n trong tam gi\u00e1c) <br\/> <span class='basic_pink'> V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0 d\u1ea5u: $>$ <\/span> "}]}],"id_ques":1820}],"lesson":{"save":0,"level":1}}