The Union Jack was the name of the flag made when England,Scotland and Ireland joined together to make one country.
2024届高考数学一轮复习第一章集合与常用逻辑用语第一
节集合课时作业
课时作业
A组——基础对点练
1．(2017·高考天津卷)设集合A＝{1,2,6}，B＝{2,4}，C＝{1,2,3,4}，则(A∪B)∩C＝( ) A．{2} C．{1,2,4,6}
B．{1,2,4} D．{1,2,3,4,6}
解析：由题意知A∪B＝{1,2,4,6}， ∴(A∪B)∩C＝{1,2,4}． 答案：B
2．(2024·成都市模拟)设集合A＝{0,1}，B＝{x|(x＋2)(x－1)＜0，x∈Z}，则A∪B＝( ) A．{－2，－1,0,1} C．{0,1}
B．{－1,0,1} D．{0}
解析：因为集合A＝{0,1}，B＝{x|(x＋2)(x－1)＜0，x∈Z}＝{－1,0}，所以A∪B＝{－1,0,1}．故选B. 答案：B
3．设集合A＝{x|x＜2}，B＝{y|y＝2x－1}，则A∩B＝( ) A．(－∞，3) C．(－∞，2)
B．[2,3) D．(－1,2)
解析：A＝{x|x＜2}，因为y＝2x－1＞－1，所以B＝{y|y＝2x－1}＝(－1，＋∞)，所以A∩B＝(－1,2)，故选D.
Sailors used to speak of a “jack” when they meant a flag which was set near the bow of a sailing ship.The flag showed the country to which the ship belonged.The Union Jackbecame the flag of Great Britain.1 / 9
The Union Jack was the name of the flag made when England,Scotland and Ireland joined together to make one country.
答案：D
4．设a，b∈R，集合{1，a＋b，a}＝，则b－a＝( ) A．1 C．2
B．－1 D．－2
解析：根据题意，集合{1，a＋b，a}＝，又∵a≠0，∴a＋b＝0，即a＝－b，∴＝－1，b＝1.故a＝－1，b＝1，则b－a＝2.故选C. 答案：C
5．已知集合A＝{－2，－1,0,1,2,3}，B＝{x|＜0}，则A∩B＝( ) A．{－2，－1,0,1,2,3} C．{－1,2}
B．{－1,0,1,2} D．{0,1}
解析：由题意，得B＝{x|－1＜x＜2}，所以A∩B＝{0,1}，故选D. 答案：D
6．已知集合A＝{1,2,3,4}，B＝{y|y＝3x－2，x∈A}，则A∩B＝( ) A．{1} C．{1,3}
B．{4} D．{1,4}
解析：由题意，得B＝{1,4,7,10}，∴A∩B＝{1,4}． 答案：D
7．(2024·长沙市模拟)已知集合P＝{x|－2 016≤x≤2 017}，Q＝{x|＜1}，则P∩Q＝( ) A．(2 016,2 017) C．[2 016,2 017)
B．(2 016,2 017] D．(－2 016,2 017)
解析：由已知可得Q＝{x|0≤2 017－x＜1}＝(2 016，2 017]，则P∩Q＝(2 016,2 017]． 答案：B
8．(2024·石家庄模拟)函数y＝与y＝ln(1－x)的定义域分别为M，
Sailors used to speak of a “jack” when they meant a flag which was set near the bow of a sailing ship.The flag showed the country to which the ship belonged.The Union Jackbecame the flag of Great Britain.2 / 9
The Union Jack was the name of the flag made when England,Scotland and Ireland joined together to make one country.
N，则M∪N＝( ) A．(1,2]
C．(－∞，1]∪[2，＋∞)
B．[1,2]
D．(－∞，1)∪[2，＋∞)
解析：使有意义的实数x应满足x－2≥0，∴x≥2，∴M＝[2，＋∞)，y＝ln(1－x)中x应满足1－x＞0，∴x＜1，∴N＝(－∞，1)，所以M∪N＝(－∞，1)∪[2，＋∞)，故选D. 答案：D
9．(2024·沈阳市模拟)设全集U＝R，集合A＝{x|x≥2}，B＝{x|0≤x＜6}，则集合(?UA)∩B＝( ) A．{x|0＜x＜2} C．{x|0≤x＜2}
B．{x|0＜x≤2} D．{x|0≤x≤2}
解析：∵U＝R，A＝{x|x≥2}，∴?UA＝{x|x＜2}．又B＝{x|0≤x＜6}，∴(?UA)∩B＝{x|0≤x＜2}．故选C. 答案：C
10．(2017·天津模拟)设集合M＝{0,1,2}，N＝{x|x2－3x＋2≤0}，则M∩N＝( ) A．{1} C．{0,1}
B．{2} D．{1,2}
解析：N＝{x|x2－3x＋2≤0}＝{x|1≤x≤2}，又M＝{0,1,2}，所以M∩N＝{1,2}． 答案：D
11．已知集合A＝{1,2,3,4}，B＝{x|x＝n2，n∈A}，则A∩B＝( ) A．{1,4} C．{9,16}
B．{2,3} D．{1,2}
解析：n＝1,2,3,4时，x＝1,4,9,16，∴集合B＝{1,4,9,16}，∴A∩B
Sailors used to speak of a “jack” when they meant a flag which was set near the bow of a sailing ship.The flag showed the country to which the ship belonged.The Union Jackbecame the flag of Great Britain.3 / 9
2024届高考数学一轮复习第一章集合与常用逻辑用语第一节集合课时作业
