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2018年全国各地高考数学试题及解答分类汇编大全
(01集合)
一、选择题:
1.(2018北京文)已知集合A??xx?2?,B??–2,0,1,2?,则AIB?( )
A.?0,1? B.?–1,0,1? C.?–2,0,1,2? D.?–1,0,1,2?
1.【答案】A
【解析】Qx?2,??2?x?2,因此AIB???2,0,1,2?I??2,2???0,1?,故选A. 2.(2018北京理)已知集合A={x||x|<2},B={–2,0,1,2},则AB=( )
(A){0,1} (B){–1,0,1} (C){–2,0,1,2} (D){–1,0,1,2} 2.【答案】A
【解析】Qx?2,??2?x?2,因此AIB???2,0,1,2?I??2,2???0,1?,故选A.
3.(2018浙江)已知全集U={1,2,3,4,5},A={1,3},则eUA=( ) A.? B.{1,3} C.{2,4,5} D.{1,2,3,4,5}
3.答案:C
解答:由题意知CUA?{2,4,5}.
4.(2018天津文)设集合A?{1,2,3,4},B?{?1,0,2,3},C?{x?R|?1?x?2},则(AB)C?( )
(A){?1,1} (B){0,1} (C){?1,0,1} (D){2,3,4} 4.【答案】C
【解析】由并集的定义可得AB???1,0,1,2,3,4?,
结合交集的定义可知:?AB?C???1,0,1?.故选C.
5 (2018天津理)设全集为R,集合A?{x0?x?2},B?{xx?1},则AI(eRB)? ((A) {x0?x?1} (B) {x0?x?1} (C) {x1?x?2} (D) {x0?x?2} 5.【答案】B
【解析】由题意可得eRB??xx?1?,结合交集的定义可得A?eRB???0?x?1?,
故选B.
6.(2018全国新课标Ⅰ文)已知集合A??0,2?,B???2,?1,0,1,2?,则AB?( A.?0,2? B.?1,2? C.?0?
D.??2,?1,0,1,2? 6.答案:A
解答:A?B?{0,2},故选A.
7.(2018全国新课标Ⅰ理)已知集合A??xx2?x?2?0?,则eRA?( )
A.?x?1?x?2? B.?x?1?x?2?
C.?x|x??1??x|x?2?
D.?x|x??1??x|x?2?
)
)7. 答案:B
解答:A?{x|x?2或x??1},则CRA?{x|?1?x?2}.
8.(2018全国新课标Ⅱ文)已知集合A??1,3,5,7?,B??2,3,4,5?,则AA.?3?
B.?5?
C.?3,5?
D.?1,2,3,4,5,7?
B?( )
8.【答案】C
【解析】A??1,3,5,7?,B??2,3,4,5?,?AB??3,5?,故选C.
229.(2018全国新课标Ⅱ理)已知集合A??x,y?x?y≤3,x?Z,y?Z,则A中元素的个数为
??( )
A.9 B.8 C.5 D.4 9.【答案】A
【解析】Qx2?y2?3,?x2?3,Qx?Z,?x??1,0,1, 当x??1时,y??1,0,1;当x?0时,y??1,0,1; 当x??1时,y??1,0,1;所以共有9个,故选A.
1,2?,则A10.(2018全国新课标Ⅲ文、理)已知集合A??x|x?1≥0?,B??0,A.?0? B.?1?
C.?1,2?
B?( )
1,2? D.?0,
10.答案:C
解答:∵A?{x|x?1?0}?{x|x?1},B?{0,1,2},∴A
B?{1,2}.故选C.
二、填空题:
1.(2018江苏)已知集合A?{0,1,2,8},B?{?1,1,6,8},那么AB? ▲ .
1.【答案】?1,8?
【解析】由题设和交集的定义可知,AB??1,8?.
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