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2021年秋季《实变函数（省）》02任务1.[单选题] (A∩B)<sup>0</sup>=（ ）
A.A<sup>0</sup>∪B<sup>0</sup> B.A<sup>1</sup>∩B<sup>0</sup>
C.A<sup>0</sup>∩B<sup>0</sup>
D.A∩B 答:——C——
2.[单选题] 若E是不可测集，mA=0,E与A的补集的交集是（ ）
A.可测集
B.不可测集
C.可能可测，也可能不可测
D.空集
答:——B——3.[单选题] <img width="281" height="37" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/42534395-b2f2-43b3-be26-76008645a073/20161026152352444.jpg" />
A.空集
B.1
C.<img width="105" height="34" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/42534395-b2f2-43b3-be26-76008645a073/20161026152413380.jpg" />
D.<img width="47" height="30" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/42534395-b2f2-43b3-be26-76008645a073/2016102615242320.jpg" /> 答:——A——
4.[单选题] E是（0，1）中的有理点集，则E'是（ ）
A.(0,1)中的无理点集 B.（0，1）
C.[0,1]
D.空集
答:————5.[单选题] <img width="319" height="29" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/49840cc9-2da0-4c5b-8089-d5889913512d/20161026153328953.jpg" />
A.空集 B.{0}
C.{(x,y,0)|x<sup>2</sup>+y<sup>2</sup>≤1}
D.{1}
答:————
6.[单选题] 设E<sub>1</sub>是(0,1)中的无理点集，E<sub>2</sub>是R<sup>1</sup>中的有理点集，E<sub>3</sub>是康托集，其中基数最小的是（ ）
A.E<sub>1</sub>
B.E<sub>3</sub> C.不确定
D.E<sub>2</sub> 答:————
7.[单选题] <img width="276" height="34" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c-4ecd-4cd8-912d-8eadc109b11d/201610261527380.jpg" />
A.空集
B.{0}
C.<img width="105" height="34" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c-4ecd-4cd8-912d-8eadc109b11d/20161026152726620.jpg" /> D.<img width="43" height="38" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c-4ecd-4cd8-912d-8eadc109b11d/20161026152742158.jpg" />
答:————
8.[单选题] 可列个外测度为零的集合的并集的外测度为（ ）
A.0
B.1 C.2
D.3
答:————
9.[单选题] 若<img width="53" height="23" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/2016102615920668.jpg" />是开集，则（ ） A.<img width="59" height="19" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/20161026151050167.jpg" />
B.<img width="99" height="24" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/20161026151059839.jpg" />
C.<img width="53" height="25" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/2016102615119230.jpg" />
D.<img width="55" height="20" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/20161026151119324.jpg" />
答:————10.[单选题] <img width="423" height="22" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/2016102615460513.jpg" />
A.<img width="175" height="28" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/2016102615472431.jpg" />
B.<img width="170" height="29" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/20161026154713663.jpg" />
C.<img width="189" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/20161026154731681.jpg" />
D.<img width="170" height="24" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/20161026154740651.jpg" /> 答:————
11.[单选题] 若mE=0，则E是（ ）
A.有界集
B.至多可列集 C.可列集
D.以上答案都不对 答:————
12.[单选题] 若E⊂R<sup>1</sup>的外测度为零，则（ ） A.E一定是不可数集
B.E一定是可测集
C.E不一定是可数集 D.mE=0
答:————
13.[单选题] 设W是[0,1]上的无理数集，则（ ） A.W是可数集
B.W是开集 C.W是不可数集
D.mW=0
答:————14.[单选题] 不是A的聚点必是A的（ ）
A.内点
B.外点 C.孤立点
D.不确定
答:————
15.[单选题] 若A为开集，则A的补集为（ ）
A.闭集
B.开集
C.全集 D.子集
答:————
16.[单选题] <img width="326" height="26" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/4599ac3c-681b-4658-a2d0-9df56c684bc6/20161026153037755.jpg" />
A.空集
B.{0} C.{(x,y,0)|x<sup>2</sup>+y<sup>2</sup>≤1}
D.{1}
答:————
17.[单选题] 若E⊂R<sup>1</sup>的外测度为零，则（ ）
A.E一定是可数集
B.E不是可测集
C.E不一定是可数集 D.mE=0
答:————18.[单选题] 若E⊂R<sup>2</sup>至少有一个内点，则有（ ）
A.m<sup>*</sup>E=0
B.m<sup>*</sup>E>0 C.mE=0
D.mE<0
答:————19.[单选题] 设A是闭集，B是开集，则A\B是（ ）
A.开集
B.闭集
C.完备集
D.不确定 答:————
20.[单选题] 任意多个开集的并集是（ ） A.交集
B.全集 C.开集
D.闭集 答:————
21.[单选题] 设P是康托集，则（ ）
A.P是可数集
B.P是开集 C.mP=0
D.mP=1
答:————
22.[单选题] 设E⊂R<sup>n</sup>,E⊂F,且F为闭集，则（ ）
A.<img width="48" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39-0826-47e5-985f-a97ede5c8b4e/20161026154345945.jpg" />
B.<img width="56" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39-0826-47e5-985f-a97ede5c8b4e/20161026154354884.jpg" />
C.<img width="53" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39-0826-47e5-985f-a97ede5c8b4e/201610261544410.jpg" />
D.<img width="50" height="18" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39-0826-47e5-985f-a97ede5c8b4e/20161026154413230.jpg" /> 答:————
23.[单选题] <img width="332" height="28" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/61a953f9-d77c-4959-b400-025c32e2d80f/20161026152923264.jpg" />
A.空集 B.{0}
C.(0,1)
D.{1} 答:————
24.[单选题] 康托集的基数为（ ）
A.0
B.c
C.2c D.3c
答:————
25.[单选题] (A∪B)`=（ ）
A.A'∪B' B.A'∩B'
C.A∪B'
D.A'∪B
答:————26.[单选题] (A∩B)'=（ ）
A.A'∪B' B.A'∩B'
C.A∪B'
D.A'∪B 答:————
27.[单选题] 设E是[0,1]中的无理点全体，则（ ）
A.E是可数集
B.E是闭集
C.E中的每一点都是聚点 D.E是空集
答:————
28.[单选题] <img width="110" height="26" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/53700d8c-28de-48da-a446-79701c8037ec/20161026153610947.jpg" />
A.A'∪B' B.A'∩B'
C.A∪B'
D.<img width="53" height="24" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/53700d8c-28de-48da-a446-79701c8037ec/20161026153753253.jpg" />
答:————
29.[单选题] <img width="281" height="37" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/094cdcd6-7119-45e6-83e6-631cd08c0060/20161026152526498.jpg" /> A.空集
B.1
C.{0}
D.<img width="43" height="38" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/094cdcd6-7119-45e6-83e6-631cd08c0060/20161026152552254.jpg" /> 答:————
30.[单选题] 若E⊂R<sup>1</sup>至少有一个内点，则（ ）
A.m<sup>*</sup>E可以等于零
B.m<sup>*</sup>E>0
C.E可能是可数集 D.E是可数集
答:————
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