Bài tập trung bình bài Số phần tử của tập hợp. Tập hợp con

Home Lớp 6 Toán lớp 6 sách cũ Số phần tử của tập hợp. Tập hợp con Bài tập trung bình

{"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 t\u1eadp h\u1ee3p C = {10; 20; 30;...; 300}. <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang:","select":["A. $ 320 \\in C$ ","B. T\u1eadp h\u1ee3p C c\u00f3 30 ph\u1ea7n t\u1eed ","C. {20; 30} $\\in C$ ","D. T\u1eadp h\u1ee3p C c\u00f3 4 ph\u1ea7n t\u1eed "],"hint":"X\u00e9t t\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng c\u1ee7a c\u00e1c ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p sau \u0111\u00f3 x\u00e9t t\u1eebng \u0111\u00e1p \u00e1n","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> V\u00ec t\u1eadp h\u1ee3p C g\u1ed3m c\u00e1c ph\u1ea7n t\u1eed c\u00e1ch nhau 10 \u0111\u01a1n v\u1ecb, ph\u1ea7n t\u1eed nh\u1ecf nh\u1ea5t l\u00e0 10, ph\u1ea7n t\u1eed l\u1edbn nh\u1ea5t l\u00e0 300 <br\/> N\u00ean \u0111\u00e1p \u00e1n A sai <br\/> X\u00e9t c\u00e1c \u0111\u00e1p \u00e1n B, C, D xem \u0111\u00e1p \u00e1n n\u00e0o \u0111\u00fang<br\/> T\u1eadp h\u1ee3p C g\u1ed3m c\u00e1c s\u1ed1 tr\u00f2n ch\u1ee5c kh\u00f4ng nh\u1ecf h\u01a1n 10 v\u00e0 kh\u00f4ng l\u1edbn h\u01a1n 300<br\/> <br\/><\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> Nh\u1eadn x\u00e9t: T\u1eadp h\u1ee3p A g\u1ed3m c\u00e1c s\u1ed1 tr\u00f2n ch\u1ee5c t\u1eeb 10 \u0111\u1ebfn 300 <br\/>A - Kh\u1eb3ng \u0111\u1ecbnh $ 320 \\in C$ l\u00e0 SAI <\/b> v\u00ec 320 > 300 <br\/> B - Kh\u1eb1ng \u0111\u1ecbnh ''T\u1eadp h\u1ee3p C c\u00f3 30 ph\u1ea7n t\u1eed'' l\u00e0 \u0110\u00daNG <\/b> <br\/>V\u00ec s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p C l\u00e0: (300 - 10) : 10 + 1 = 30 ph\u1ea7n t\u1eed <br\/> C - Kh\u1eb3ng \u0111\u1ecbnh {20; 30} $\\in A$ l\u00e0 SAI <\/b> <br\/> V\u00ec k\u00ed hi\u1ec7u ''$\\in$'' ch\u1ec9 ph\u1ea7n t\u1eed n\u00e0o \u0111\u00f3 thu\u1ed9c 1 t\u1eadp h\u1ee3p ch\u1ee9 kh\u00f4ng ph\u1ea3i ch\u1ec9 t\u1eadp n\u00e0y thu\u1ed9c t\u1eadp kia<br\/> D - Kh\u1eb3ng \u0111\u1ecbnh ''T\u1eadp h\u1ee3p C c\u00f3 4 ph\u1ea7n t\u1eed'' l\u00e0 SAI <\/b> <br\/> V\u00ec trong t\u1eadp h\u1ee3p C c\u00f3 ph\u1ea7n t\u1eed 30 ph\u1ea7n t\u1eed<br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B<\/span>","column":2}]}],"id_ques":121},{"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 t\u1eadp h\u1ee3p D = {5; 10; 15; 20;...; 80}. <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang:","select":["A. $30 \\in D$ ","B. $ 42 \\in D$ ","C. T\u1eadp h\u1ee3p D c\u00f3 5 ph\u1ea7n t\u1eed ","D. $37 \\in D$ "],"hint":"X\u00e9t t\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng c\u1ee7a c\u00e1c ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p sau \u0111\u00f3 x\u00e9t t\u1eebng \u0111\u00e1p \u00e1n","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> M\u1ed9t ph\u1ea7n t\u1eed ch\u1ec9 c\u00f3 $\\in$ ho\u1eb7c $\\notin$ t\u1eadp h\u1ee3p kia <br\/> C\u00f2n 1 t\u1eadp h\u1ee3p th\u00ec ho\u1eb7c $\\subset$ ho\u1eb7c $\\not\\subset$ t\u1eadp h\u1ee3p kia <br\/> V\u1eady kh\u1eb3ng \u0111\u1ecbnh B sai ta ch\u1ec9 x\u00e9t kh\u1eb3ng \u0111\u1ecbnh A, C v\u00e0 D <br\/> T\u1eadp h\u1ee3p D g\u1ed3m c\u00e1c s\u1ed1 chia h\u1ebft cho 5 kh\u00f4ng nh\u1ecf h\u01a1n 5 v\u00e0 kh\u00f4ng l\u1edbn h\u01a1n 80<br\/> <br\/><\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/>Nh\u1eadn x\u00e9t: T\u1eadp h\u1ee3p D g\u1ed3m c\u00e1c s\u1ed1 chia h\u1ebft cho 5 kh\u00f4ng nh\u1ecf h\u01a1n 5 v\u00e0 kh\u00f4ng l\u1edbn h\u01a1n 80<br\/> A - Kh\u1eb3ng \u0111\u1ecbnh $30 \\in D$ l\u00e0 \u0110\u00daNG <\/b> <br\/> V\u00ec 30 chia h\u1ebft cho 5 v\u00e0 5 < 30 < 80<br\/> B - Kh\u1eb1ng \u0111\u1ecbnh ''42 $\\in D$'' l\u00e0 SAI <\/b> <br\/>V\u00ec 42 kh\u00f4ng chia h\u1ebft cho 5<br\/> C - Kh\u1eb3ng \u0111\u1ecbnh ''t\u1eadp h\u1ee3p D c\u00f3 5 ph\u1ea7n t\u1eed'' l\u00e0 SAI <\/b> <br\/> V\u00ec s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p D l\u00e0: (80 - 5) : 5 + 1 =16 ph\u1ea7n t\u1eed<br\/> D - Kh\u1eb3ng \u0111\u1ecbnh ''37 $\\in D$'' l\u00e0 SAI <\/b> <br\/> V\u00ec 37 kh\u00f4ng chia h\u1ebft cho 5<br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A<\/span>","column":2}]}],"id_ques":122},{"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 t\u1eadp h\u1ee3p G = {3; 6; 9; 12;...; 48}. <br\/> Kh\u1eb3ng \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang:","select":["A. $35 \\in G$ ","B. {47} $\\subset G$ ","C. $27 \\in G$ ","D. T\u1eadp h\u1ee3p G g\u1ed3m 48 ph\u1ea7n t\u1eed "],"hint":"X\u00e9t t\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng c\u1ee7a c\u00e1c ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p sau \u0111\u00f3 x\u00e9t t\u1eebng \u0111\u00e1p \u00e1n","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> Ta th\u1ea5y t\u1eadp h\u1ee3p G g\u1ed3m c\u00e1c s\u1ed1 chia h\u1ebft cho 3 kh\u00f4ng nh\u1ecf h\u01a1n 3 v\u00e0 kh\u00f4ng l\u1edbn h\u01a1n 48<br\/> D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng c\u1ee7a c\u00e1c ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p \u0111\u1ec3 x\u00e9t xem \u0111\u00e1p \u00e1n n\u00e0o \u0111\u00fang <br\/> S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p b\u1eb1ng (s\u1ed1 cu\u1ed1i - s\u1ed1 \u0111\u1ea7u) : kho\u1ea3ng c\u00e1ch + 1<br\/> <br\/><\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/>Nh\u1eadn x\u00e9t: Ta th\u1ea5y t\u1eadp h\u1ee3p G g\u1ed3m c\u00e1c s\u1ed1 chia h\u1ebft cho 3 kh\u00f4ng nh\u1ecf h\u01a1n 3 v\u00e0 kh\u00f4ng l\u1edbn h\u01a1n 48<br\/> A - Kh\u1eb3ng \u0111\u1ecbnh $35 \\in G$ l\u00e0 SAI <\/b> <br\/> V\u00ec 35 kh\u00f4ng chia h\u1ebft cho 3<br\/> B - Kh\u1eb1ng \u0111\u1ecbnh ''{47} $\\subset G$'' l\u00e0 SAI <\/b> <br\/>V\u00ec 47 kh\u00f4ng chia h\u1ebft cho 3<br\/> C - Kh\u1eb3ng \u0111\u1ecbnh ''$27 \\in G$'' l\u00e0 \u0110\u00daNG <\/b> <br\/> V\u00ec 27 chia h\u1ebft cho 3 v\u00e0 3 < 27 < 48 <br\/> D - Kh\u1eb3ng \u0111\u1ecbnh ''T\u1eadp h\u1ee3p G c\u00f3 48 ph\u1ea7n t\u1eed'' l\u00e0 SAI <\/b> <br\/> V\u00ec s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p G l\u00e0: (48 - 3) : 3 + 1 = 16 ph\u1ea7n t\u1eed<br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C<\/span>","column":2}]}],"id_ques":123},{"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 hai t\u1eadp h\u1ee3p: $A = \\left\\{ x \\in \\mathbb {N}^ {*}| x < 6\\right\\}<br\/>$; B = {x; y} <br\/> Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 bao nhi\u00eau t\u1eadp h\u1ee3p m\u1ed7i t\u1eadp h\u1ee3p g\u1ed3m 1 ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 1 ph\u1ea7n t\u1eed thu\u1ed9c B","select":["A. 8 ","B. 9 ","C. 10","D. 12"],"hint":"Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p m\u1ed7i t\u1eadp t\u1eadp l\u1ea5y 1 ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 1 ph\u1ea7n t\u1eed thu\u1ed9c B","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> Vi\u1ebft t\u1eadp h\u1ee3p A d\u01b0\u1edbi d\u1ea1ng li\u1ec7t k\u00ea ph\u1ea7n t\u1eed <br\/> Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p m\u1ed7i t\u1eadp h\u1ee3p l\u1ea5y 1 ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 1 ph\u1ea7n t\u1eed thu\u1ed9c B <br\/> \u0110\u1ebfm s\u1ed1 l\u01b0\u1ee3ng t\u1eadp h\u1ee3p<br\/> <br\/><\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> Ta c\u00f3: A = {1; 2; 3; 4; 5}<br\/> Ta vi\u1ebft \u0111\u01b0\u1ee3c c\u00e1c t\u1eadp h\u1ee3p m\u00e0 m\u1ed7i t\u1eadp h\u1ee3p g\u1ed3m 1 ph\u1ea7n t\u1eed thu\u1ed9c A, m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c B nh\u01b0 sau: <br\/> {1; x}, {2; x}, {3; x}, {4; x}, {5; x}, {1; y}, {2; y}, {3; y}, {4; y}, {5; y} <br\/> V\u1eady ta vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 10 t\u1eadp h\u1ee3p<br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C<br\/><\/span> Nh\u1eadn x\u00e9t: Cho t\u1eadp h\u1ee3p A c\u00f3 n ph\u1ea7n t\u1eed, t\u1eadp h\u1ee3p B c\u00f3 m ph\u1ea7n t\u1eed. C\u00f3 n.m t\u1eadp h\u1ee3p m\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p A, m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p B <\/i><\/span>","column":2}]}],"id_ques":124},{"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 hai t\u1eadp h\u1ee3p: $A = \\left\\{ x \\in \\mathbb {N}| 18 \\leq x \\leq 20\\right\\}$<br\/>; B = {m; n; p; q} <br\/> Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 bao nhi\u00eau t\u1eadp h\u1ee3p m\u1ed7i t\u1eadp h\u1ee3p g\u1ed3m 1 ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 1 ph\u1ea7n t\u1eed thu\u1ed9c B","select":["A. 11 ","B. 12","C. 13","D. 14"],"hint":"Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p m\u1ed7i t\u1eadp t\u1eadp l\u1ea5y 1 ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 1 ph\u1ea7n t\u1eed thu\u1ed9c B","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> Vi\u1ebft t\u1eadp h\u1ee3p A d\u01b0\u1edbi d\u1ea1ng li\u1ec7t k\u00ea ph\u1ea7n t\u1eed <br\/> \u0110\u1ebfm s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p A <br\/> C\u00f3 n.m t\u1eadp h\u1ee3p m\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p A, m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p B <br\/> <br\/><\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> Ta c\u00f3: A = {18; 19; 20}<br\/> V\u00ec t\u1eadp h\u1ee3p A c\u00f3 3 ph\u1ea7n t\u1eed, t\u1eadp h\u1ee3p B c\u00f3 4 ph\u1ea7n t\u1eed <br\/> N\u00ean c\u00f3 4 . 3 = 12 t\u1eadp h\u1ee3p m\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p A v\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p B <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B<br\/><\/span>","column":2}]}],"id_ques":125},{"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 hai t\u1eadp h\u1ee3p: $A = \\left\\{ x \\in \\mathbb {N}| 30 < x < 40 \\right\\}$<br\/>; B = {c; d} <br\/> Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 bao nhi\u00eau t\u1eadp h\u1ee3p m\u1ed7i t\u1eadp h\u1ee3p g\u1ed3m 1 ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 1 ph\u1ea7n t\u1eed thu\u1ed9c B","select":["A. 14 ","B. 16","C. 18","D. 20"],"hint":"Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p m\u1ed7i t\u1eadp t\u1eadp l\u1ea5y 1 ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 1 ph\u1ea7n t\u1eed thu\u1ed9c B","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> Vi\u1ebft t\u1eadp h\u1ee3p A d\u01b0\u1edbi d\u1ea1ng li\u1ec7t k\u00ea ph\u1ea7n t\u1eed <br\/> C\u00e1ch 1:<\/span> <br\/>Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p m\u1ed7i t\u1eadp h\u1ee3p l\u1ea5y 1 ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 1 ph\u1ea7n t\u1eed thu\u1ed9c B <br\/> \u0110\u1ebfm s\u1ed1 l\u01b0\u1ee3ng t\u1eadp h\u1ee3p<br\/>C\u00e1ch 2:<\/span> T\u1eadp h\u1ee3p A c\u00f3 n ph\u1ea7n t\u1eed, t\u1eadp h\u1ee3p B c\u00f3 m ph\u1ea7n t\u1eed <br\/>Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 m.n t\u1eadp h\u1ee3p m\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c A m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c B <br\/><\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> C\u00e1ch 2:<br\/> Ta c\u00f3: A = {31; 32; 33; 34; 35; 36; 37; 38; 39} <br\/> Ta th\u1ea5y t\u1eadp h\u1ee3p A c\u00f3 9 ph\u1ea7n t\u1eed, t\u1eadp h\u1ee3p B c\u00f3 2 ph\u1ea7n t\u1eed <br\/>Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 s\u1ed1 t\u1eadp h\u1ee3p m\u00e0 m\u1ed7i t\u1eadp h\u1ee3p g\u1ed3m 1 ph\u1ea7n t\u1eed thu\u1ed9c A m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c B l\u00e0: 9. 2 = 18 t\u1eadp h\u1ee3p <br\/>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C<br\/><\/span> Nh\u1eadn x\u00e9t: Cho t\u1eadp h\u1ee3p A c\u00f3 n ph\u1ea7n t\u1eed, t\u1eadp h\u1ee3p B c\u00f3 m ph\u1ea7n t\u1eed. C\u00f3 n.m t\u1eadp h\u1ee3p m\u00e0 m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p A, m\u1ed9t ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p B <\/i><\/span>","column":2}]}],"id_ques":126},{"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 3 s\u1ed1 t\u1ef1 nhi\u00ean 4; 5; 6. T\u1eadp h\u1ee3p C g\u1ed3m c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 hai ch\u1eef s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c t\u1eeb 3 s\u1ed1 tr\u00ean<br\/> V\u1eady t\u1eadp h\u1ee3p C g\u1ed3m:","select":["A. 5 ph\u1ea7n t\u1eed ","B. 6 ph\u1ea7n t\u1eed ","C. 8 ph\u1ea7n t\u1eed ","D. 9 ph\u1ea7n t\u1eed "],"hint":"Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 bao nhi\u00eau s\u1ed1 c\u00f3 hai ch\u1eef s\u1ed1 t\u1eeb 3 s\u1ed1 4; 5; 6","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> Vi\u1ebft c\u00e1c s\u1ed1 c\u00f3 hai ch\u1eef s\u1ed1 t\u1eeb 2 s\u1ed1 4; 5; 6 <br\/> S\u1ed1 l\u01b0\u1ee3ng s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c ch\u00ednh l\u00e0 s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p <\/span><br\/><br\/>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> Vi\u1ebft \u0111\u01b0\u1ee3c c\u00e1c s\u1ed1 c\u00f3 hai ch\u1eef s\u1ed1 t\u1eeb 3 s\u1ed1 4; 5; 6 l\u00e0: 45; 46; 44; 55; 54; 56; 66; 65; 64 <br\/> Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 9 s\u1ed1 n\u00ean t\u1eadp h\u1ee3p C c\u00f3 9 ph\u1ea7n t\u1eed <br\/>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D<\/span>","column":2}]}],"id_ques":127},{"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 3 s\u1ed1 t\u1ef1 nhi\u00ean 7; 8; 0. T\u1eadp h\u1ee3p D g\u1ed3m c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean c\u00f3 ba ch\u1eef s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c t\u1eeb 3 s\u1ed1 tr\u00ean<br\/> V\u1eady t\u1eadp h\u1ee3p D g\u1ed3m:","select":["A. 12 ph\u1ea7n t\u1eed ","B. 15 ph\u1ea7n t\u1eed ","C. 18 ph\u1ea7n t\u1eed ","D. 10 ph\u1ea7n t\u1eed "],"hint":"Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 bao nhi\u00eau s\u1ed1 c\u00f3 ba ch\u1eef s\u1ed1 t\u1eeb 3 s\u1ed1 7; 8; 0","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> Vi\u1ebft c\u00e1c s\u1ed1 c\u00f3 ba ch\u1eef s\u1ed1 t\u1eeb 3 s\u1ed1 7; 8; 0 <br\/> S\u1ed1 l\u01b0\u1ee3ng s\u1ed1 vi\u1ebft \u0111\u01b0\u1ee3c ch\u00ednh l\u00e0 s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p D<\/span><br\/><br\/>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> Ta c\u00f3 2 c\u00e1ch \u0111\u1ec3 l\u1ea5y ch\u1eef s\u1ed1 h\u00e0ng tr\u0103m l\u00e0 7 v\u00e0 8 <br\/> C\u00f3 3 c\u00e1ch ch\u1ecdn ch\u1eef s\u1ed1 h\u00e0ng ch\u1ee5c l\u00e0: 7; 8; 0 <br\/> C\u00f3 3 c\u00e1ch ch\u1ecdn ch\u1eef s\u1ed1 h\u00e0ng \u0111\u01a1n v\u1ecb l\u00e0: 7; 8; 0<br\/> Vi\u1ebft \u0111\u01b0\u1ee3c t\u1ea5t c\u1ea3 2.3.3 = 18 s\u1ed1 c\u00f3 3 ch\u1eef s\u1ed1 t\u1eeb 3 s\u1ed1 7; 8; 0 <br\/>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C<\/span>","column":2}]}],"id_ques":128},{"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 h\u00ecnh v\u1ebd: <br\/> <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai3/lv2/img\/D613_TB201.png' \/><\/center> <br\/>C\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p P v\u00e0 t\u1eadp h\u1ee3p Q l\u00e0:","select":["A. {z; a; c} ","B. $\\varnothing$ ","C. {a; b; z} ","D. {b; x} "],"hint":"C\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p P v\u00e0 t\u1eadp h\u1ee3p Q ch\u00ednh l\u00e0 c\u00e1c ph\u1ea7n t\u1eed n\u1eb1m trong ph\u1ea7n giao nhau c\u1ee7a hai v\u00f2ng tr\u00f2n","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> Nh\u00ecn v\u00e0o h\u00ecnh v\u1ebd ta th\u1ea5y c\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c c\u1ea3 hai t\u1eadp h\u1ee3p ch\u00ednh l\u00e0 c\u00e1c ph\u1ea7n t\u1eed n\u1eb1m trong ph\u1ea7n giao nhau c\u1ee7a hai v\u00f2ng tr\u00f2n<br\/> <br\/><\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> C\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c P v\u00e0 Q ch\u00ednh l\u00e0 c\u00e1c ph\u1ea7n t\u1eed n\u1eb1m trong ph\u1ea7n h\u00ecnh m\u00e0u v\u00e0ng <br\/><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai3/lv2/img\/D613_TB2011.png' \/><\/center><br\/> C\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c P v\u00e0 thu\u1ed9c Q l\u00e0: a; b; z <br\/>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C<\/span>","column":2}]}],"id_ques":129},{"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='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai3/lv2/img\/D613_TB202.png' \/><\/center> <br\/>C\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p A v\u00e0 t\u1eadp h\u1ee3p B l\u00e0:","select":["A. {g\u00e0} ","B. {7; 943} ","C. {359; d; th\u1ecf} ","D. {359; d; 7} "],"hint":"C\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c t\u1eadp h\u1ee3p A v\u00e0 t\u1eadp h\u1ee3p B ch\u00ednh l\u00e0 c\u00e1c ph\u1ea7n t\u1eed n\u1eb1m trong ph\u1ea7n giao nhau c\u1ee7a hai v\u00f2ng tr\u00f2n","explain":"H\u01b0\u1edbng d\u1eabn: <\/span> <br\/> Nh\u00ecn v\u00e0o h\u00ecnh v\u1ebd ta th\u1ea5y c\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c c\u1ea3 hai t\u1eadp h\u1ee3p ch\u00ednh l\u00e0 c\u00e1c ph\u1ea7n t\u1eed n\u1eb1m trong ph\u1ea7n giao nhau c\u1ee7a hai v\u00f2ng tr\u00f2n<br\/> <br\/><\/span>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> C\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 B ch\u00ednh l\u00e0 c\u00e1c ph\u1ea7n t\u1eed n\u1eb1m trong ph\u1ea7n h\u00ecnh m\u00e0u xanh l\u00e1 c\u00e2y <br\/><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai3/lv2/img\/D613_TB2021.png' \/><\/center><br\/> C\u00e1c ph\u1ea7n t\u1eed thu\u1ed9c A v\u00e0 thu\u1ed9c B l\u00e0: 359; 7; z <br\/>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D<\/span>","column":2}]}],"id_ques":130},{"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 t\u1eadp h\u1ee3p A = {a; b; c; d} <br\/> S\u1ed1 t\u1eadp h\u1ee3p con c\u00f3 2 ph\u1ea7n t\u1eed c\u1ee7a A l\u00e0:","select":["A. 3 ","B. 4 ","C. 5 ","D. 6 "],"hint":"Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p con c\u00f3 2 ph\u1ea7n t\u1eed c\u1ee7a A","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p con c\u00f3 2 ph\u1ea7n t\u1eed c\u1ee7a A<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> C\u00e1c t\u1eadp h\u1ee3p con c\u00f3 2 ph\u1ea7n t\u1eed c\u1ee7a A l\u00e0: {a; b}, {a; c}, {a; d}, { b; c}, {b; d}, {c; d} <br\/> V\u1eady M c\u00f3 t\u1ea5t c\u1ea3 6 t\u1eadp h\u1ee3p con m\u00e0 m\u1ed7i t\u1eadp h\u1ee3p c\u00f3 2 ph\u1ea7n t\u1eed<br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D<\/span> ","column":2}]}],"id_ques":131},{"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 t\u1eadp h\u1ee3p M = {1; 2; 3} <br\/> S\u1ed1 t\u1eadp h\u1ee3p con c\u00f3 2 ph\u1ea7n t\u1eed c\u1ee7a M l\u00e0:","select":["A. 3 ","B. 2 ","C. 5 ","D. 4"],"hint":"Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p con c\u00f3 2 ph\u1ea7n t\u1eed c\u1ee7a M","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/>Li\u1ec7t k\u00ea c\u00e1c t\u1eadp h\u1ee3p con c\u00f3 2 ph\u1ea7n t\u1eed c\u1ee7a M<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> C\u00e1c t\u1eadp h\u1ee3p con c\u00f3 2 ph\u1ea7n t\u1eed c\u1ee7a M l\u00e0: {1; 2}, {1; 3}, {2; 3}<br\/> V\u1eady M c\u00f3 t\u1ea5t c\u1ea3 3 t\u1eadp h\u1ee3p con m\u00e0 m\u1ed7i t\u1eadp h\u1ee3p c\u00f3 2 ph\u1ea7n t\u1eed<br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A<\/span> ","column":2}]}],"id_ques":132},{"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":"C\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean l\u1ebb nh\u1ecf h\u01a1n 14 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng t\u1eadp h\u1ee3p l\u00e0:","select":["A. A = {0; 1; 3; 5; 7; 9; 13; 11} ","B. A = {1; 5; 7; 9; 12; 13} ","C. A = {1; 3; 5; 8; 11; 13} ","D. A = {1; 5; 3; 7; 9; 11; 13}"],"hint":"Li\u1ec7t k\u00ea t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 l\u1ebb nh\u1ecf h\u01a1n 14 v\u00e0 \u0111\u1ed1i chi\u1ebfu c\u00e1c \u0111\u00e1p \u00e1n","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Li\u1ec7t k\u00ea t\u1ea5t c\u1ea3 c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean l\u1ebb nh\u1ecf h\u01a1n 14 v\u00e0 \u0111\u1ed1i chi\u1ebfu c\u00e1c \u0111\u00e1p \u00e1n<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> C\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean l\u1ebb nh\u1ecf h\u01a1n 14 l\u00e0: 1; 3; 5; 7; 9; 11; 13 <br\/> A - Kh\u1eb3ng \u0111\u1ecbnh '' A = {0; 1; 3; 5; 7; 9; 13; 11}'' l\u00e0 SAI <\/b> v\u00ec 0 kh\u00f4ng ph\u1ea3i s\u1ed1 l\u1ebb <br\/> B - Kh\u1eb3ng \u0111\u1ecbnh ''A = {1; 5; 7; 9; 12; 13}'' l\u00e0 SAI <\/b> v\u00ec 12 kh\u00f4ng ph\u1ea3i s\u1ed1 l\u1ebb <br\/> C - Kh\u1eb3ng \u0111\u1ecbnh ''A = {1; 3; 5; 8; 11; 13}'' l\u00e0 SAI <\/b> v\u00ec 8 kh\u00f4ng ph\u1ea3i s\u1ed1 l\u1ebb <br\/> D -Kh\u1eb3ng \u0111\u1ecbnh ''A = {1; 5; 3; 7; 9; 11; 13}'' l\u00e0 \u0110\u00daNG <\/b> <br\/>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D<\/span>","column":2}]}],"id_ques":133},{"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":"C\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean tr\u00f2n ch\u1ee5c c\u00f3 hai ch\u1eef s\u1ed1 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng t\u1eadp h\u1ee3p l\u00e0:","select":["A. M = {10; 20; 35; 40; 50; 60; 70; 80; 90} ","B. M = {10; 20; 30; 40; 49; 60; 70; 80; 90} ","C. $M = \\left\\{ \\overline{a0}, a \\in \\mathbb{N^*} \\right\\}$ ","D. M = {10; 20; 30; 40; 50; 60; 70; 81; 90}"],"hint":"C\u00e1c s\u1ed1 tr\u00f2n ch\u1ee5c c\u00f3 hai ch\u1eef s\u1ed1 l\u00e0 c\u00e1c s\u1ed1 c\u00f3 d\u1ea1ng $\\overline{a0}$ v\u1edbi a l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean ","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> C\u00e1c s\u1ed1 tr\u00f2n ch\u1ee5c c\u00f3 hai ch\u1eef s\u1ed1 l\u00e0 c\u00e1c s\u1ed1 c\u00f3 d\u1ea1ng $\\overline{a0}$ v\u1edbi a l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> A - Kh\u1eb3ng \u0111\u1ecbnh ''M = {10; 20; 35; 40; 50; 60; 70; 80; 90}'' l\u00e0 SAI <\/b> v\u00ec 35 kh\u00f4ng ph\u1ea3i s\u1ed1 tr\u00f2n ch\u1ee5c <br\/> B - Kh\u1eb3ng \u0111\u1ecbnh ''M = {10; 20; 30; 40; 49; 60; 70; 80; 90}'' l\u00e0 SAI <\/b> v\u00ec 49 kh\u00f4ng ph\u1ea3i s\u1ed1 tr\u00f2n ch\u1ee5c<br\/> C - Kh\u1eb3ng \u0111\u1ecbnh ''$M = \\left\\{ \\overline{a0}, a \\in \\mathbb{N^*} \\right\\}$'' l\u00e0 \u0110\u00daNG <\/b> <br\/> D - Kh\u1eb3ng \u0111\u1ecbnh ''M = {10; 20; 30; 40; 50; 60; 70; 81; 90}'' l\u00e0 SAI <\/b> v\u00ec 81 kh\u00f4ng ph\u1ea3i s\u1ed1 tr\u00f2n ch\u1ee5c<br\/>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C<\/span>","column":2}]}],"id_ques":134},{"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":"C\u00e1c s\u1ed1 chia h\u1ebft cho 5 v\u00e0 nh\u1ecf h\u01a1n 50 \u0111\u01b0\u1ee3c vi\u1ebft d\u01b0\u1edbi d\u1ea1ng t\u1eadp h\u1ee3p l\u00e0:","select":["A. A = {5; 10; 15; 20; 25; 30; 38; 40; 42; 45} ","B. A = {0; 5; 10; 15; 20; 25; 30; 35; 40; 45} ","C. A = {5; 10; 15; 24; 30; 35; 40}","D. A = {5; 10; 15; 20; 25; 31; 35; 40; 45}"],"hint":"Li\u1ec7t k\u00ea c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean chia h\u1ebft cho 5 v\u00e0 nh\u1ecf h\u01a1n 50 r\u1ed3i \u0111\u1ed1i chi\u1ebfu c\u00e1c \u0111\u00e1p \u00e1n","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Li\u1ec7t k\u00ea c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean chia h\u1ebft cho 5 v\u00e0 nh\u1ecf h\u01a1n 50 r\u1ed3i \u0111\u1ed1i chi\u1ebfu c\u00e1c \u0111\u00e1p \u00e1n<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/>C\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean chia h\u1ebft cho 5 v\u00e0 nh\u1ecf h\u01a1n 50 l\u00e0: 0; 5; 10; 15; 20; 25; 30; 35; 40; 45<br\/> A - Kh\u1eb3ng \u0111\u1ecbnh ''A = {5; 10; 15; 20; 25; 30; 38; 40; 42; 45}'' l\u00e0 SAI <\/b> v\u00ec 38 kh\u00f4ng chia h\u1ebft cho 5 <br\/> B - Kh\u1eb3ng \u0111\u1ecbnh ''A = {0; 5; 10; 15; 20; 25; 30; 35; 40; 45}'' l\u00e0 \u0110\u00daNG <\/b> <br\/> C - Kh\u1eb3ng \u0111\u1ecbnh ''A = {5; 10; 15; 24; 30; 35; 40}'' l\u00e0 SAI <\/b> v\u00ec 24 $\\not \\vdots$ 5 <br\/> D - Kh\u1eb3ng \u0111\u1ecbnh ''A = {5; 10; 15; 20; 25; 31; 35; 40; 45}'' l\u00e0 SAI <\/b> v\u00ec 31 kh\u00f4ng chia h\u1ebft cho 5<br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B<\/span>","column":2}]}],"id_ques":135},{"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 B = {1; 2; 3}.<br\/> \u0110\u00e1p \u00e1n n\u00e0o sau \u0111\u00e2y g\u1ed3m t\u1ea5t c\u1ea3 c\u00e1c t\u1eadp h\u1ee3p con c\u1ee7a B","select":["A. {1}, {2}, {3}, $\\varnothing$; {1; 2; 3} ","B. {1}, {2}, {3}, $\\varnothing$ ","C. {1; 2; 3}, {1}, {2}, {3}, {1; 2}, {1; 3}, {2; 3}, $\\varnothing$ ","D. {1}, {2}, {3}, {1; 2; 3} "],"hint":"Vi\u1ebft c\u00e1c t\u1eadp h\u1ee3p con c\u00f3 1 ph\u1ea7n t\u1eed, hai ph\u1ea7n t\u1eed, ba ph\u1ea7n t\u1eed v\u00e0 kh\u00f4ng c\u00f3 ph\u1ea7n t\u1eed n\u00e0o c\u1ee7a B<br\/> Ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0 \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Vi\u1ebft c\u00e1c t\u1eadp h\u1ee3p con c\u00f3 1 ph\u1ea7n t\u1eed, hai ph\u1ea7n t\u1eed, ba ph\u1ea7n t\u1eed v\u00e0 kh\u00f4ng c\u00f3 ph\u1ea7n t\u1eed n\u00e0o c\u1ee7a B <br\/> \u0110\u1ed1i chi\u1ec1u v\u00e0 ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0 \u0111\u1ea7y \u0111\u1ee7 nh\u1ea5t<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> C\u00e1c t\u1eadp h\u1ee3p con c\u1ee7a c\u00f3 m\u1ed9t ph\u1ea7n t\u1eed c\u1ee7a B l\u00e0: {1}, {2}, {3}<br\/> C\u00e1c t\u1eadp h\u1ee3p con c\u00f3 hai ph\u1ea7n t\u1eed c\u1ee7a B l\u00e0: {1; 2}, {1; 3}, {2; 3}<br\/> C\u00e1c t\u1eadp h\u1ee3p con kh\u00f4ng c\u00f3 ph\u1ea7n t\u1eed n\u00e0o c\u1ee7a A l\u00e0: $\\varnothing$ <br\/> T\u1eadp h\u1ee3p con c\u00f3 3 ph\u1ea7n t\u1eed c\u1ee7a B l\u00e0: {1; 2; 3} <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang v\u00e0 \u0111\u1ea7y \u0111\u1ee7 l\u00e0: C<\/span>","column":2}]}],"id_ques":136},{"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 C = {0; a} <br\/> T\u1eadp h\u1ee3p g\u1ed3m c\u00e1c t\u1eadp h\u1ee3p con c\u1ee7a C c\u00f3 bao nhi\u00eau ph\u1ea7n t\u1eed?","select":["A. 3 ph\u1ea7n t\u1eed ","B. 4 ph\u1ea7n t\u1eed ","C. 5 ph\u1ea7n t\u1eed","D. 6 ph\u1ea7n t\u1eed"],"hint":" C c\u00f3 t\u1ea5t c\u1ea3 bao nhi\u00eau t\u1eadp h\u1ee3p con?","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> Vi\u1ebft c\u00e1c t\u1eadp h\u1ee3p con c\u00f3 1 ph\u1ea7n t\u1eed, hai ph\u1ea7n t\u1eed v\u00e0 kh\u00f4ng c\u00f3 ph\u1ea7n t\u1eed n\u00e0o c\u1ee7a C <br\/> \u0110\u1ebfm xem C c\u00f3 t\u1ea5t c\u1ea3 bao nhi\u00eau t\u1eadp h\u1ee3p con th\u00ec \u0111\u00f3 ch\u00ednh l\u00e0 s\u1ed1 c\u1ea7n ch\u1ecdn<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> C\u00e1c t\u1eadp h\u1ee3p con c\u1ee7a C l\u00e0: {0}, {a}, {0; a}, $\\varnothing$ <br\/> C c\u00f3 t\u1ea5t c\u1ea3 4 t\u1eadp h\u1ee3p con <br\/> N\u00ean t\u1eadp h\u1ee3p g\u1ed3m c\u00e1c t\u1eadp h\u1ee3p con c\u1ee7a C c\u00f3 4 ph\u1ea7n t\u1eed <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: B<\/span>","column":2}]}],"id_ques":137},{"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":"\u0110\u1ec3 \u0111\u00e1nh s\u1ed1 1 quy\u1ec3n s\u00e1ch 50 trang ng\u01b0\u1eddi ta \u0111\u00e1nh s\u1ed1 trang t\u1eeb 1 \u0111\u1ebfn 50. H\u1ecfi ph\u1ea3i d\u00f9ng t\u1ea5t c\u1ea3 bao nhi\u00eau ch\u1eef s\u1ed1? <br\/> \u0110\u00e1p \u00e1n l\u00e0:","select":["A. 50 ch\u1eef s\u1ed1 ","B. 100 ch\u1eef s\u1ed1 ","C. 90 ch\u1eef s\u1ed1","D. 91 ch\u1eef s\u1ed1"],"hint":" T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 trang t\u1eeb 1 - 9, sau \u0111\u00f3 t\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e0nh s\u1ed1 trang t\u1eeb 10 - 50 \u0111em c\u1ed9ng l\u1ea1i","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 trang t\u1eeb 1 - 9 <br\/> B\u01b0\u1edbc 2: <\/b> T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 trang t\u1eeb 10 - 50 <br\/> B\u01b0\u1edbc 3: <\/b> T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 ph\u1ea3i d\u00f9ng \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 quy\u1ec3n s\u00e1ch 50 trang<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> S\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 trang t\u1eeb 1 - 9 l\u00e0: <br\/> 9 . 1 = 9 (ch\u1eef s\u1ed1) <br\/> T\u1eeb trang 10 \u0111\u1ebfn trang 50 c\u00f3 s\u1ed1 trang l\u00e0: 50 - 10 + 1 = 41 trang <br\/> V\u00ec c\u00e1c trang n\u00e0y l\u00e0 s\u1ed1 c\u00f3 2 ch\u1eef s\u1ed1 n\u00ean c\u1ea7n d\u00f9ng s\u1ed1 ch\u1eef s\u1ed1 l\u00e0: <br\/> 41 . 2 = 82 (ch\u1eef s\u1ed1) <br\/> \u0110\u1ec3 \u0111\u00e1nh s\u1ed1 trang t\u1eeb 1 - 50 c\u1ea7n s\u1ed1 ch\u1eef s\u1ed1 l\u00e0: <br\/> 9 + 82 = 91 (ch\u1eef s\u1ed1) <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D. 91 ch\u1eef s\u1ed1<\/span>","column":2}]}],"id_ques":138},{"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":"T\u1eadp h\u1ee3p H g\u1ed3m c\u00e1c s\u1ed1 c\u00f3 hai ch\u1eef s\u1ed1 chia h\u1ebft cho 5.<br\/>V\u1eady t\u1eadp h\u1ee3p H g\u1ed3m:","select":["A. 50 ph\u1ea7n t\u1eed","B. 40 ph\u1ea7n t\u1eed ","C. 20 ph\u1ea7n t\u1eed","D. 18 ph\u1ea7n t\u1eed"],"hint":" T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 c\u1ee7a d\u00e3y c\u00e1ch \u0111\u1ec1u 5 \u0111\u01a1n v\u1ecb t\u1eeb s\u1ed1 nh\u1ecf nh\u1ea5t c\u00f3 2 ch\u1eef s\u1ed1 chia h\u1ebft cho 5 \u0111\u1ebfn s\u1ed1 l\u1edbn nh\u1ea5t c\u00f3 2 ch\u1eef s\u1ed1 chia h\u1ebft cho 5","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> T\u1eadp h\u1ee3p H g\u1ed3m c\u00e1c s\u1ed1 c\u00f3 hai ch\u1eef s\u1ed1 chia h\u1ebft cho 5 hay t\u1eadp h\u1ee3p H bao g\u1ed3m 1 d\u00e3y c\u00e1c s\u1ed1 c\u00e1ch \u0111\u1ec1u 5 \u0111\u01a1n v\u1ecb b\u1eaft \u0111\u1ea7u t\u1eeb s\u1ed1 nh\u1ecf nh\u1ea5t c\u00f3 hai ch\u1eef s\u1ed1 chia h\u1ebft cho 5 v\u00e0 k\u1ebft th\u00fac l\u00e0 s\u1ed1 l\u1edbn nh\u1ea5t c\u00f3 hai ch\u1eef s\u1ed1 chia h\u1ebft cho 5 <br\/> T\u00ecm s\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a H theo c\u00f4ng th\u1ee9c t\u00ednh s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y c\u00e1ch \u0111\u1ec1u: <br\/> S\u1ed1 s\u1ed1 h\u1ea1ng = (s\u1ed1 h\u1ea1ng cu\u1ed1i - s\u1ed1 h\u1ea1ng \u0111\u1ea7u) : kho\u1ea3ng c\u00e1ch + 1<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a t\u1eadp h\u1ee3p H g\u1ed3m c\u00e1c s\u1ed1 c\u00f3 hai ch\u1eef s\u1ed1 chia h\u1ebft cho 5 <br\/> Hay ch\u00ednh l\u00e0 s\u1ed1 s\u1ed1 h\u1ea1ng c\u1ee7a d\u00e3y: 10, 15, 20, 25,....., 95 <br\/>(S\u1ed1 nh\u1ecf nh\u1ea5t c\u00f3 hai ch\u1eef s\u1ed1 chia h\u1ebft cho 5 l\u00e0 10, s\u1ed1 l\u1edbn nh\u1ea5t c\u00f3 hai ch\u1eef s\u1ed1 chia h\u1ebft cho 5 l\u00e0 95)<br\/> T\u1eadp h\u1ee3p H c\u00f3 s\u1ed1 ph\u1ea7n t\u1eed l\u00e0: <br\/> (95 - 10): 5 + 1 = 18 (ph\u1ea7n t\u1eed) <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D. 18 ph\u1ea7n t\u1eed<\/span>","column":2}]}],"id_ques":139},{"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":"\u0110\u1ec3 \u0111\u00e1nh s\u1ed1 cho 1 d\u00e3y ph\u1ed1 g\u1ed3m 352 c\u0103n h\u1ed9 ng\u01b0\u1eddi ta d\u00f9ng c\u00e1c s\u1ed1 t\u1eeb 1 - 352. H\u1ecfi ph\u1ea3i d\u00f9ng t\u1ea5t c\u1ea3 bao nhi\u00eau ch\u1eef s\u1ed1 <br\/> \u0110\u00e1p \u00e1n l\u00e0:","select":["A. 945 ch\u1eef s\u1ed1 ","B. 956 ch\u1eef s\u1ed1 ","C. 948 ch\u1eef s\u1ed1","D. 957 ch\u1eef s\u1ed1"],"hint":" T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 c\u0103n h\u1ed9 t\u1eeb 1 - 9, t\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e0nh s\u1ed1 c\u0103n h\u1ed9 t\u1eeb 10 - 99, t\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 c\u0103n h\u1ed9 t\u1eeb 100 - 352 sau \u0111\u00f3 \u0111em c\u1ed9ng l\u1ea1i","explain":"H\u01b0\u1edbng d\u1eabn:<\/span><br\/> B\u01b0\u1edbc 1: <\/b> T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 c\u0103n h\u1ed9 t\u1eeb 1 - 9 <br\/> B\u01b0\u1edbc 2: <\/b> T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 c\u0103n h\u1ed9 t\u1eeb 10 - 99 <br\/> B\u01b0\u1edbc 3: <\/b> T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 nh\u00e0 t\u1eeb 100 - 352 <br\/> B\u01b0\u1edbc 4: <\/b>T\u00ecm s\u1ed1 ch\u1eef s\u1ed1 ph\u1ea3i d\u00f9ng \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 s\u1ed1 cho d\u00e3y ph\u1ed1 352 c\u0103n h\u1ed9<\/span> <br\/><br\/>B\u00e0i gi\u1ea3i:<\/span> <br\/> <br\/> S\u1ed1 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 t\u1eeb 1 - 9 l\u00e0: <br\/> 9 . 1 = 9 (ch\u1eef s\u1ed1) <br\/> T\u1eeb c\u0103n h\u1ed9 s\u1ed1 10 \u0111\u1ebfn c\u0103n h\u1ed9 s\u1ed1 99 c\u00f3: 99 - 10 + 1 = 90 (c\u0103n h\u1ed9) <br\/> V\u00ec c\u00e1c c\u0103n h\u1ed9 n\u00e0y \u0111\u1ec1u d\u00f9ng s\u1ed1 c\u00f3 2 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 n\u00ean c\u1ea7n: <br\/> 90 . 2 = 180 (ch\u1eef s\u1ed1) <br\/> T\u1eeb c\u0103n h\u1ed9 s\u1ed1 100 \u0111\u1ebfn c\u0103n h\u1ed9 s\u1ed1 352 c\u00f3: 352 - 100 + 1 = 253 (c\u0103n h\u1ed9) <br\/> V\u00ec c\u00e1c c\u0103n h\u1ed9 n\u00e0y \u0111\u1ec1u d\u00f9ng s\u1ed1 c\u00f3 3 ch\u1eef s\u1ed1 \u0111\u1ec3 \u0111\u00e1nh s\u1ed1 n\u00ean c\u1ea7n: <br\/> 253 . 3 = 759 (ch\u1eef s\u1ed1) <br\/>\u0110\u1ec3 \u0111\u00e1nh s\u1ed1 cho khu ph\u1ed1 g\u1ed3m 352 c\u0103n h\u1ed9 c\u1ea7n: <br\/> 9 + 180 + 759 = 948 (ch\u1eef s\u1ed1) <br\/> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: C. 948 ch\u1eef s\u1ed1<\/span>","column":2}]}],"id_ques":140}],"lesson":{"save":0,"level":2}}

Điểm của bạn.

Câu hỏi này theo dạng chọn đáp án đúng, sau khi đọc xong câu hỏi, bạn bấm vào một trong số các đáp án mà chương trình đưa ra bên dưới, sau đó bấm vào nút gửi để kiểm tra đáp án và sẵn sàng chuyển sang câu hỏi kế tiếp

Trả lời đúng trong khoảng thời gian quy định bạn sẽ được + số điểm như sau:
Trong khoảng 1 phút đầu tiên	+ 5 điểm
Trong khoảng 1 phút -> 2 phút	+ 4 điểm
Trong khoảng 2 phút -> 3 phút	+ 3 điểm
Trong khoảng 3 phút -> 4 phút	+ 2 điểm
Trong khoảng 4 phút -> 5 phút	+ 1 điểm

Quá 5 phút: không được cộng điểm

Tổng thời gian làm mỗi câu (không giới hạn)

Điểm của bạn.

Bấm vào đây nếu phát hiện có lỗi hoặc muốn gửi góp ý

Em chưa làm xong câu này