First, multiple-choice questions: This big question is a small question of *** 10, with 5 points for each small question and 50 points for * * *. Of the four options given in each question, only one meets the requirements of the topic. Please put the code of the correct answer in brackets after the question.
1. As we all know, three elements in a set can form three sides of a triangle.
Then this triangle must not be ()
A. Right triangle B. Acute triangle
C. blunt triangle D. isosceles triangle
2. The solution set of equations is ()
A.{x =2，y= 1} B.{2， 1} C.{(2， 1)} D。
3. There are four propositions as follows: ① Empty set; 2 If, then;
③ The set has two elements; ④ A set is a finite set.
The number of correct propositions is ()
A.0 B. 1 C.2 D.3
4. If yes, the set number m that meets the condition is ()
A.4 B.3 C.2 D. 1
5. Known, then the relationship is ()
A.b . C . M∩P = d . M . P
6. Given that sets A, B and C satisfy A∪B=A∪C, then (1) A ∪ B = A ∪ C (2) A = B.
(3) The serial number of the correct proposition in A ∩ (Rb) = A ∩ (RC) (4) (RA) ∩ B = (RA) ∩ C is ().
A.( 1) B.(2) C.(3) D.(4)
7. In the following propositions,
(1) If set A is the proper subset of set B, there is at least one element in set B.
(2) If set A is a subset of set B, the elements of set A are less than those of set B. ..
(3) If set A is a subset of set B, then the elements of set A are not more than those of set B. ..
(4) If set A is a subset of set B, then sets A and B cannot be equal.
The number of wrong propositions is: ()
A.0 B. 1 C.2 D.3
8. A known set consists of all the elements in the set.
The number * * * has ()
1。
9. Setup, assembly,
Then the relationship with the set is ()
A.B.
C.D.
10. As shown on the right, I is the complete set, and M, P and S are subsets of I. ..
The set represented by the shaded part is ()
A.(M∩P)∩S b .(M∩P)∩S
C.(M∩P)∩(I S)d .(M∩P)∩(I S)
Second, fill in the blanks: 5 points for each question, ***4 questions. Please fill in the answer on the horizontal line of the question.
1 1. It is known that ∈R, ×≠0 is a set with possible values as elements, which can be expressed as follows through enumeration.
= 。
12. Let a set satisfy AB, then the value range of real number A is.
13. Definition, if, then n-m =.
14. As shown in the figure on the right (1), the points in the shaded part (including the boundary) serve as a set of elements.
Described as follows:
Please write the shaded part in figure (2) on the right.
Point (no external boundary, but axis)
A collection of elements.
.
Iii. Answer: There are ***6 questions in this big question, with ***80 points. The solution should be written in words, proof process or calculation steps.
15. (The full score of this small question is 12)
The following sets are known:
( 1)={n | n = 2k+ 1，kN，K5 }；
(2)={x | x = 2k，kN，k3 }；
(3) = {x | x = 4k+ 1, or x = 4k- 1, kk3 }；;
Q: (i) Represent the above set by enumeration;
(ii) For a set, if kZ, then what sets do, respectively? And explain the relationship with.
16. (The full score of this small question is 12)
In 2003, the school held a school sports meeting. Let A={x|x is a classmate who participated in the 100m race}, B={x|x is a classmate who participated in the 200m race}, and C={x|x is a classmate who participated in the 4x 100m relay race}. School regulations: each student can only participate in two activities at most. According to statistics, there are 13 students in Class 18, Senior High School. Eight of them participated in the 4×100m relay race, six participated in the100m race and five participated in the 200m race. Three people participated in the 4×100m relay race and100m race, and two people participated in the 4×100m relay race and 200m race.
Q: (1) How many students participated in the 100 meter and 200 meter competitions at the same time?
(2) How many students only participated in the 200-meter race?
(3) How many students only participated in the 100 meter race?
17. (The full score of this small question is 14)
A known group, in which,
If, be realistic about the numerical range.