1.1. Tập hợp. Phần tử của tập hợp
Học sinh luyện tập nắm vững kiến thức Tập hợp. Phần tử của tập hợp
Làm xong biết đáp án và cách giải chi tiết
Học sinh có thể hỏi và trao đổi lại nếu không hiểu
Xem lại lý thuyết, lưu bài tập và note lại các chú ý
Biết điểm yếu và có giải pháp cải thiện.
1.1. Tập hợp. Phần tử của tập hợp
Chọn đáp án đúng nhất
Viết tập hợp D các số tự nhiên tận cùng bằng 0, lớn hơn 10 nhưng nhỏ hơn hoặc bằng 50.
D = {20 ; 30 ; 40; 50}.
Gợi ý
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Chọn đáp án đúng nhất
Viết tập hợp các số tự nhiên lớn hơn 14, nhỏ hơn 45 và có chứa chữ số 3. Các số 13 ; 25 ; 53 có
thuộc tập hợp ấy không?
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Số 13 và 25 thuộc tập hợp còn số 53 không thuộc tập hợp đó.
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Các số 13, 25 và 35 đều thuộc tập hợp.
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Các số 13, 25, 35 đều không thuộc tập hợp.
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Chỉ có số 53 thuộc tập hợp đó.
Các số 13, 25, 35 đều không thuộc tập hợp.
Các số 13, 25, 35 đều không thuộc tập hợp.
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Tập hợp đó là: {23; 30 ;31 ;32 ;33 ;34 ;35 ;36 ;37 ;38 ;39 ;43}
Các số 13 ; 25 ; 53 không thuộc tập hợp này.
Gợi ý
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Chọn đáp án đúng nhất
Cho E là tập hợp các số tự nhiên lớn hơn 13 và nhỏ hơn 21.
Gợi ý
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Chọn đáp án đúng nhất
Một năm gồm bốn quý. Viết tập hợp A các tháng của quý một trong năm.
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A = {tháng giêng, tháng hai, tháng năm}
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A = {tháng giêng, tháng hai, tháng ba}
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A = {tháng hai, tháng ba, tháng sáu}
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A = {tháng tư, tháng năm, tháng sáu}
A = {tháng giêng, tháng hai, tháng ba}
A = {tháng giêng, tháng hai, tháng ba}
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Quý một gồm các tháng: tháng một (tháng giêng), tháng hai, tháng ba
A = {tháng giêng, tháng hai, tháng ba}
Gợi ý
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Chọn đáp án đúng nhất
Viết tập hợp các chữ cái trong từ “HÌNH HỌC”.
{H; I; N; O; C}
{H; I; N; O; C}
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Gợi ý
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Chọn đáp án đúng nhất
Viết tập các số tự nhiên có hai chữ số mà tổng các chữ số bằng 6.
{15; 24; 33; 42; 51; 60}
{15; 24; 33; 42; 51; 60}
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Vậy tập hợp phải tìm là: {15; 24; 33; 42; 51; 60}
Gợi ý
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Chọn đáp án đúng nhất
Cho tập hợp B các số tự nhiên lớn hơn 2 và nhỏ hơn 7. Viết tập hợp B bằng cách liệt kê các phần tử.
B = {3; 4; 5; 6}
B = {3; 4; 5; 6}
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Các số tự nhiên lớn hơn 2 và nhỏ hơn 7 là: 3; 4; 5; 6.
B = {3; 4; 5; 6}
Gợi ý
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Chọn đáp án đúng nhất
Tập hợp P gồm các số tự nhiên lớn hơn 50 và không lớn hơn 57. Kết luận nào sau đây sai?
58 ∈ P
58 ∈ P
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Tập hợp P gồm các số tự nhien lớn hơn 50 và không lớn hơn 57 là 51; 52; 53; 54; 55; 56; 57.
Nên tập hợp đó là P = {51; 52; 53; 54; 55; 56; 57}
Vậy 58 ∉ P
Gợi ý
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Chọn đáp án đúng nhất
Tập hợp C các số chẵn lớn hơn 10 và nhỏ hơn hoặc bằng 20.
C = {12; 14; 16; 18; 20}.
C = {12; 14; 16; 18; 20}.
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Tập hợp C = {12; 14; 16; 18; 20}.
Gợi ý
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Chọn đáp án đúng nhất
Viết tập hợp B các tháng (dương lịch) có ít hơn 30 ngày.
B = {tháng hai}
Gợi ý
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Chọn đáp án đúng nhất
Tập hợp
A = {23; 24; 25; 26; 27}
A = {23; 24; 25; 26; 27}
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Các số lớn hơn 22 và nhỏ hơn bằng 27 là 23; 24; 25; 26; 27
Nên tập hợp cần tìm là A = {23; 24; 25; 26; 27}.
Gợi ý
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Chọn đáp án đúng nhất
Cho tập hợp A = {1; 2; 3; 4} và tập hợp B = {3; 4; 5}. Tập hợp C gồm các phần tử vừa thuộc tập hợp A, vừa thuộc tập hợp B là:
C = {3; 4}
C = {3; 4}
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Các phần tử thuộc tập hợp A lẫn tập hợp B là 3;4.
Nên tập hợp cần tìm là C = {3; 4}
Gợi ý
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Chọn đáp án đúng nhất
Viết tập hợp A = {16; 17; 18; 19} dưới dạng chỉ ra tính chất đặc trưng.
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Các số tự nhiên lớn hơn 15 và nhỏ hơn 20 là: 16; 17; 18; 19.
Nên
Gợi ý
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Chọn đáp án đúng nhất
Cho tập hợp A = {1; 2; 3; 4} và tập hợp B = {3; 4; 5}. Tập hợp C gồm các phần tử thuộc tập A nhưng không thuộc tập hợp B là?
C = {1; 2}
C = {1; 2}
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Các phần tử thuộc tập hơp A mà không thuộc tập hợp B là 1; 2
Nên tập hợp cần tìm là C = {1; 2}
Gợi ý
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Chọn đáp án đúng nhất
Viết tập hợp P các chữ cái khác nhau trong cụm từ: “HỌC SINH”.
P = {H; O; C; S; I; N}
P = {H; O; C; S; I; N}
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Các chữ cái khác nhau trong cụm từ “HOC SINH” là: H; O; C; S; I; N.
Nên P = {H; O; C; S; I; N}
Gợi ý
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Chọn đáp án đúng nhất
Các viết tập hợp nào sau đây đúng?
A = {1; 2; 3; 4}
A = {1; 2; 3; 4}
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Các viết tập hợp được viết theo cách liệt kê các phần tử của tập hợp.
Nên cách viết đúng là A = {1; 2; 3; 4}
Gợi ý
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Chọn đáp án đúng nhất
Cho B = {2; 3; 4; 5}. Chọn khẳng định sai trong các khẳng định dưới đây:
6 ∈ B
6 ∈ B
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Áp dụng cách sử dụng kí hiệu ∈:
+ 2 ∈ A đọc là 2 thuộc A hoặc là 2 thuộc phần tử của A.
+ 6 ∉ A đọc là 6 không thuộc A hoặc là 6 không là phần tử của A.
Ta thấy 6 không là phần tử của tập hợp B nên 6 ∉ B.
Gợi ý
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Chọn đáp án đúng nhất
Viết tập hợp Q gồm tất cả các số tròn chục có hai chữ số và chia hết cho 3.
Q = {30; 60; 90}
Q = {30; 60; 90}
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Các số tròn chục có hai chữ số chia hết cho 3 là: 30; 60; 90.
Vậy Q = {30; 60; 90}
Gợi ý
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Chọn đáp án đúng nhất
Viết tập hợp A các số tự nhiên lớn hơn 5 và nhỏ hơn 10.
A = {6; 7; 8; 9}
A = {6; 7; 8; 9}
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Viết tập hợp A dưới dạng liệt kê các phân tử.
Tập hợp A gồm các phần tử lớn hơn 5 và nhỏ hơn 10 nên A = {6; 7; 8; 9}.
Gợi ý
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Chọn đáp án đúng nhất
Hãy viết tập hợp sau bằng cách liệt kê các phần tử của tập hợp:
M = {15; 26; 37; 48; 59}
M = {15; 26; 37; 48; 59}
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Ta có: 4 = 9 – 5 = 8 – 4 = 7 – 3 = 6 – 2 = 5 – 1.
Vậy ta viết được các số có hai chữ số mà có hiệu giữa chữ số hàng đơn vị với chữ số hàng chục là 4 là:
59; 48; 37; 26; 15.
M = {15; 26; 37; 48; 59}
Gợi ý
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