2018春季【贵州电大】[实变函数（省）]形成性测试2阶段性测验（资料）

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【贵州电大】[实变函数（省）]形成性测试2阶段性测验
试卷总分:100    得分:100
第1题,<p>若E&sub;R¹至少有一个内点，则（;;;; ）
m^*E=0
m^*E&gt;0
mE=0
mE&lt;0



第2题,<img width="332" height="28" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/61a953f9-d77c-4959-b400-025c32e2d80f/20161026152923264.jpg" />
空集
{0}
(0,1)
{1}



第3题,<img width="326" height="26" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/4599ac3c-681b-4658-a2d0-9df56c684bc6/20161026153037755.jpg" />
空集
{0}
{(x,y,0)|x²+y²&le;1}
{1}



第4题,设W是[0,1]上的无理数集，则（;;;;;;）
W是可数集
W是开集
W是不可数集
mW=0



第5题,<p><img width="185" height="23" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b-0a52-4abe-9281-388f2510448f/20161026151533562.jpg" />
<img width="58" height="25" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b-0a52-4abe-9281-388f2510448f/20161026151545730.jpg" />
<img width="79" height="30" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b-0a52-4abe-9281-388f2510448f/20161026151556713.jpg" />
<img width="67" height="27" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b-0a52-4abe-9281-388f2510448f/2016102615166853.jpg" />
<img width="102" height="30" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b-0a52-4abe-9281-388f2510448f/20161026151615979.jpg" />



第6题,直线上的有理点集是（;;;; ）
开集
闭集
F_&sigma;型集
不确定



第7题,康托集的基数为（;;;;;;）
0
c
2c
3c



第8题,E是（0，1）中的有理点集，则E&apos;是（;;;;;;）
(0,1)中的无理点集
（0，1）
[0,1]
空集



第9题,不是A的聚点必是A的（;;;;;;）
内点
外点
孤立点
不确定



第10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（;;;; ）
<img width="59" height="19" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/20161026151050167.jpg" />
<img width="99" height="24" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/20161026151059839.jpg" />
<img width="53" height="25" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/2016102615119230.jpg" />
<img width="55" height="20" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f-5c3d-4dd0-b79d-a8b86b6378d9/20161026151119324.jpg" />



第11题,<img width="423" height="22" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/2016102615460513.jpg" />
<img width="175" height="28" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/2016102615472431.jpg" />
<img width="170" height="29" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/20161026154713663.jpg" />
<img width="189" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/20161026154731681.jpg" />
<img width="170" height="24" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531-b01b-492b-ab10-1e64fecd1562/20161026154740651.jpg" />



第12题,<img width="281" height="37" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/094cdcd6-7119-45e6-83e6-631cd08c0060/20161026152526498.jpg" />
空集
1
<p>{0}</p>
<img width="43" height="38" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/094cdcd6-7119-45e6-83e6-631cd08c0060/20161026152552254.jpg" />



第13题,若mE=0，则E是（;;;;;;）
有界集
至多可列集
可列集
以上资料都不对



第14题,设E&sub;Rⁿ,E&sub;F,且F为闭集，则（;;;;;; ）
<img width="48" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39-0826-47e5-985f-a97ede5c8b4e/20161026154345945.jpg" />
<img width="56" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39-0826-47e5-985f-a97ede5c8b4e/20161026154354884.jpg" />
<img width="53" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39-0826-47e5-985f-a97ede5c8b4e/201610261544410.jpg" />
<img width="50" height="18" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39-0826-47e5-985f-a97ede5c8b4e/20161026154413230.jpg" />



第15题,设E₁是(0,1)中的无理点集，E₂是R¹中的有理点集，E₃是康托集，其中基数最小的是（;;;; ）
E₁
E₃
<p>不确定</p>
E₂



第16题,<p><img width="281" height="37" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/42534395-b2f2-43b3-be26-76008645a073/20161026152352444.jpg" />
空集
1
<img width="105" height="34" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/42534395-b2f2-43b3-be26-76008645a073/20161026152413380.jpg" />
<img width="47" height="30" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/42534395-b2f2-43b3-be26-76008645a073/2016102615242320.jpg" />



第17题,任意多个开集的并集是（;;;;;;）
交集
全集
开集
闭集



第18题,(A∩B)&apos;=（;;;;;;）
A&apos;∪B&apos;
A&apos;∩B&apos;
A∪B&apos;
A&apos;∪B



第19题,<img width="276" height="34" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c-4ecd-4cd8-912d-8eadc109b11d/201610261527380.jpg" />
空集
{0}
<img width="105" height="34" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c-4ecd-4cd8-912d-8eadc109b11d/20161026152726620.jpg" />
<img width="43" height="38" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c-4ecd-4cd8-912d-8eadc109b11d/20161026152742158.jpg" />



第20题,设E是[0,1]中的无理点全体，则（;;;;;;）
E是可数集
E是闭集
E中的每一点都是聚点
E是空集



第21题,可列个外测度为零的集合的并集的外测度为（;;;;;;）
0
1
2
3



第22题,<p>若E&sub;R²至少有一个内点，则有（;;;; ）
m^*E=0
m^*E&gt;0
mE=0
mE&lt;0



第23题,<img width="319" height="29" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/49840cc9-2da0-4c5b-8089-d5889913512d/20161026153328953.jpg" />
空集
{0}
{(x,y,0)|x²+y²&le;1}
{1}



第24题,E的孤立点（;;;;;;）属于E。
不属于
属于
有可能属于
不确定



第25题,(A&cap;B)⁰=（;;;; ）
A⁰&cup;B⁰
A¹&cap;B⁰
A⁰&cap;B⁰
A&cap;B



第26题,若E是不可测集，mA=0,E与A的补集的交集是（;;;;;;）
可测集
不可测集
可能可测，也可能不可测
空集



第27题,<img width="296" height="21" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2a-ca5d-4ae6-838f-82e1d2f29079/20161026153935498.jpg" />
<img width="51" height="20" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2a-ca5d-4ae6-838f-82e1d2f29079/20161026154043609.jpg" />
<img width="55" height="23" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2a-ca5d-4ae6-838f-82e1d2f29079/20161026154053718.jpg" />
<img width="56" height="24" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2a-ca5d-4ae6-838f-82e1d2f29079/2016102615412828.jpg" />
<img width="51" height="25" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2a-ca5d-4ae6-838f-82e1d2f29079/20161026154112797.jpg" />



第28题,(A∪B)`=（;;;;;;）
A&apos;∪B&apos;
A&apos;∩B&apos;
A∪B&apos;
A&apos;∪B



第29题,<img width="110" height="26" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/53700d8c-28de-48da-a446-79701c8037ec/20161026153610947.jpg" />
A'&cup;B'
A'&cap;B'
A&cup;B'
<img width="53" height="24" alt="" src="/Attachment/Attachment/Itembank/QuestionAttachments/201610/53700d8c-28de-48da-a446-79701c8037ec/20161026153753253.jpg" />



第30题,<p>若E&sub;R¹至少有一个内点，则（;;;; ）
<p>m^*E可以等于零</p>
m^*E&gt;0
E可能是可数集
E是可数集

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