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Bài toán 1 : Viết các tập hợp sau.
a)Ư:(6,9,12) d) B(23) ; B(10) ; B(8)
b)Ư(7) ; Ư(18) ; Ư(10) e) B(3) ; B(12) ; B(9)
c)Ư(15) ; Ư(16) ; Ư(250 g) B(18) ; B(20) ; B(14)
\(a)\)
\(Ư (6) = \) \(\left\{1;2;3;6\right\}\)
\(Ư\left(9\right)=\left\{1;3;9\right\}\)
\(Ư\left(12\right)=\left\{1;2;3;4;6;12\right\}\)
\(b)\)
\(Ư\left(7\right)=\left\{1;7\right\}\)
\(Ư\left(18\right)=\left\{1;2;3;6;9;18\right\}\)
\(Ư\left(10\right)=\left\{1;2;5;10\right\}\)
\(c)\)
\(Ư\left(15\right)=\left\{1;3;5;15\right\}\)
\(Ư\left(16\right)=\left\{1;2;4;8;16\right\}\)
\(Ư\left(250\right)=\left\{1;2;5;10;25;50;125;250\right\}\)
\(d)\)
\(B\left(23\right)=\left\{0;23;46;69;...\right\}\)
\(B\left(10\right)=\left\{0;10;20;30;...\right\}\)
\(B\left(8\right)=\left\{0;8;16;24;...\right\}\)
\(e)\)
\(B\left(3\right)=\left\{0;3;6;9;...\right\}\)
\(B\left(12\right)=\left\{0;12;24;36;...\right\}\)
\(B\left(9\right)=\left\{0;9;18;27;...\right\}\)
\(g)\)
\(B\left(18\right)=\left\{0;18;36;54;...\right\}\)
\(B\left(20\right)=\left\{0;20;40;60;...\right\}\)
\(B\left(14\right)=\left\{0;14;28;42;...\right\}\)
Đáp án cần chọn là: B
Ta có:
Ư(10)={1;2;5;10} và Ư(25)={1;5;25}
Vậy ƯC(10;25)={1,5}
a)Ư(6)={1;2;3;6}
Ư(9)={1;3;9}
Ư(6;9)={1;3}
b)Ư(7)={1;7}
Ư(8)={1;2;4;8}
ƯC(7;8)=1
c)Ư(4)={1;2;4}
Ư(6)={1;2;3;6}
Ư(8)={1;2;4;8}
ƯC(4;6;8)={1;2
ƯC
a) Ư (15) = {1;3;5;15}
Ư (27) = {1;3;9;27}
ƯC (15; 27) = {1;3}
b) ƯC (16; 20; 30) = {1;2}
c) BC (25; 39) = {0;975;1950;…}
d) BC (100; 120; 140) = {0;4200;…}
a) Ư(6) = {1;2;3;6}
Ư(9) = {1;3;9}
ƯC(6,9) = {1;3}
b) Ư(7) = {1;7}
Ư(8) = {1;2;4;8}
ƯC(7;8) = {1}
c) ƯC(4;6;8) = { 1;2}
a) Ư (6) = {1; 2; 3; 6}
Ư (9) = {1, 3, 9}
ƯC (6, 9) = {1; 3}.
b) Ư (7) = {1; 7}
Ư (8) = {1; 2; 4; 8}
ƯC (7, 8) = {1}.
c) ƯC (4, 6, 8) = {1, 2}.
a) Ư (6) = {1; 2; 3; 6}, Ư (9) = {1, 3, 9}, ƯC (6, 9) = {1; 3}.
b) Ư (7) = {1; 7}, Ư (8) = {1; 2; 4; 8}, ƯC (7, 8) = {1}.
c) ƯC (4, 6, 8) = {1, 2}.
Bài 31 : \(A=\left\{1;2;3;....;20\right\}\)
\(U\left(5\right)=\left\{1;5\right\}\)
\(U\left(6\right)=\left\{1;2;3;6\right\}\)
\(U\left(10\right)=\left\{1;2;5;10\right\}\)
\(U\left(2\right)=\left\{1;2\right\}\)
\(B\left(5\right)=\left\{5;10;15;20\right\}\)
\(B\left(6\right)=\left\{6;12;18\right\}\)
\(B\left(10\right)=\left\{10;20\right\}\)
\(B\left(12\right)=\left\{12\right\}\)
\(B\left(20\right)=\left\{20\right\}\)
\(\Rightarrow B\in\left\{U\left(2\right);U\left(5\right);U\left(6\right);U\left(10\right);B\left(5\right);B\left(10\right);B\left(12\right);B\left(20\right)\right\}=\left\{1;2;3;5;6;10;12;15;18;20\right\}\)
Bài 33 :
\(U\left(250\right)=\left\{1;2;5;10;25;50;125;250\right\}\)
\(B\left(11\right)=\left\{11;22;33;44;55;66;77;88;99;110;...\right\}\)
Tập hợp tất cả các số có 2 chữ số thuộc về U(250) là
\(\left\{10;25;50\right\}\)
Tập hợp tất cả các số có 2 chữ số thuộc về B(11) là
\(\left\{11;22;33;44;55;66;77;88;99\right\}\)
1)
\(Ư\left(6\right)=\left\{\pm1;\pm2;\pm3;\pm6\right\}\)
\(Ư\left(14\right)=\left\{\pm1;\pm2;\pm7;\pm14\right\}\)
\(Ư\left(17\right)=\left\{\pm1;\pm17\right\}\)
\(Ư\left(1\right)=\left\{\pm1\right\}\)
2)
a)
\(Ư\left(12\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)
b)
\(Ư\left(18\right)=\left\{\pm1;\pm2;\pm3;\pm6;\pm9;\pm18\right\}\)
c)
\(Ư\left(24\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm8;\pm12;\pm24\right\}\)
\(\text{Ta có:}\)\(x>8\)\(\Rightarrow\)\(x\in\left\{12;24\right\}\)
Ư(14)= {1;2;7;14) Ư(25)= {1;5;25} Ư(19)= {1;19}
B(6) ={ 12;18;24;....} B(10) ={10;50;100;200;...}
Ư CỦA 14 = { 1 ; 14 }