贵州电大2018年秋季[实变函数（省）]形成性考试2阶段性测验

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【贵州电大】[实变函数（省）]形成性考试2阶段性测验
试卷总分100得分100贵州电大阶段性测验答案

第1题&ltp&gt若E&ampsubR&ltsup&gt1&lt/sup&gt至少有一个内点，则（）
m&ltsup&gt*&lt/sup&gtE=0
m&ltsup&gt*&lt/sup&gtE&ampgt0
mE=0
mE&amplt0
第2题设E&ampsubR&ltsup&gtn&lt/sup&gtE&ampsubF且F为闭集，则（）
&ltimgwidth=&quot48&quotheight=&quot21&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39082647e5985fa97ede5c8b4e/20161026154345945.jpg&quot/&gt
&ltimgwidth=&quot56&quotheight=&quot21&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39082647e5985fa97ede5c8b4e/20161026154354884.jpg&quot/&gt
&ltimgwidth=&quot53&quotheight=&quot21&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39082647e5985fa97ede5c8b4e/201610261544410.jpg&quot/&gt
&ltimgwidth=&quot50&quotheight=&quot18&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/69b24f39082647e5985fa97ede5c8b4e/20161026154413230.jpg&quot/&gt
第3题E的孤立点（）属于E。
不属于
属于
有可能属于
不确定
第4题若&ltimgwidth=&quot53&quotheight=&quot23&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f5c3d4dd0b79da8b86b6378d9/2016102615920668.jpg&quot/&gt是开集，则（）
&ltimgwidth=&quot59&quotheight=&quot19&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f5c3d4dd0b79da8b86b6378d9/20161026151050167.jpg&quot/&gt
&ltimgwidth=&quot99&quotheight=&quot24&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f5c3d4dd0b79da8b86b6378d9/20161026151059839.jpg&quot/&gt
&ltimgwidth=&quot53&quotheight=&quot25&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f5c3d4dd0b79da8b86b6378d9/2016102615119230.jpg&quot/&gt
&ltimgwidth=&quot55&quotheight=&quot20&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/9b89a19f5c3d4dd0b79da8b86b6378d9/20161026151119324.jpg&quot/&gt
第5题任意多个开集的并集是（）
交集
全集
开集
闭集
第6题(A∩B)&ampapos=（）
A&ampapos∪B&ampapos
A&ampapos∩B&ampapos
A∪B&ampapos
A&ampapos∪B
第7题(A&ampcapB)&ltsup&gt0&lt/sup&gt=（）
A&ltsup&gt0&lt/sup&gt&ampcupB&ltsup&gt0&lt/sup&gt
A&ltsup&gt1&lt/sup&gt&ampcapB&ltsup&gt0&lt/sup&gt
A&ltsup&gt0&lt/sup&gt&ampcapB&ltsup&gt0&lt/sup&gt
A&ampcapB
第8题若A为开集，则A的补集为（）
闭集
开集
全集
子集
第9题&ltimgwidth=&quot296&quotheight=&quot21&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2aca5d4ae6838f82e1d2f29079/20161026153935498.jpg&quot/&gt
&ltimgwidth=&quot51&quotheight=&quot20&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2aca5d4ae6838f82e1d2f29079/20161026154043609.jpg&quot/&gt
&ltimgwidth=&quot55&quotheight=&quot23&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2aca5d4ae6838f82e1d2f29079/20161026154053718.jpg&quot/&gt
&ltimgwidth=&quot56&quotheight=&quot24&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2aca5d4ae6838f82e1d2f29079/2016102615412828.jpg&quot/&gt
&ltimgwidth=&quot51&quotheight=&quot25&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/078a7f2aca5d4ae6838f82e1d2f29079/20161026154112797.jpg&quot/&gt
第10题&ltimgwidth=&quot281&quotheight=&quot37&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/094cdcd6711945e683e6631cd08c0060/20161026152526498.jpg&quot/&gt
空集
1
&ltp&gt{0}&lt/p&gt
&ltimgwidth=&quot43&quotheight=&quot38&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/094cdcd6711945e683e6631cd08c0060/20161026152552254.jpg&quot/&gt
第11题直线上的有理点集是（）
开集
闭集
F&ltsub&gt&ampsigma&lt/sub&gt型集
不确定
第12题(A∪B)`=（）
A&ampapos∪B&ampapos
A&ampapos∩B&ampapos
A∪B&ampapos
A&ampapos∪B
第13题&ltp&gt&ltimgwidth=&quot185&quotheight=&quot23&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b0a524abe9281388f2510448f/20161026151533562.jpg&quot/&gt
&ltimgwidth=&quot58&quotheight=&quot25&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b0a524abe9281388f2510448f/20161026151545730.jpg&quot/&gt
&ltimgwidth=&quot79&quotheight=&quot30&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b0a524abe9281388f2510448f/20161026151556713.jpg&quot/&gt
&ltimgwidth=&quot67&quotheight=&quot27&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b0a524abe9281388f2510448f/2016102615166853.jpg&quot/&gt
&ltimgwidth=&quot102&quotheight=&quot30&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/5476b38b0a524abe9281388f2510448f/20161026151615979.jpg&quot/&gt
第14题&ltimgwidth=&quot276&quotheight=&quot34&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c4ecd4cd8912d8eadc109b11d/201610261527380.jpg&quot/&gt
空集
{0}
&ltimgwidth=&quot105&quotheight=&quot34&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c4ecd4cd8912d8eadc109b11d/20161026152726620.jpg&quot/&gt
&ltimgwidth=&quot43&quotheight=&quot38&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/eafe856c4ecd4cd8912d8eadc109b11d/20161026152742158.jpg&quot/&gt
第15题若E&ampsubR&ltsup&gt1&lt/sup&gt的外测度为零，则（）
E一定是可数集
E不是可测集
E不一定是可数集
mE=0
第16题&ltimgwidth=&quot423&quotheight=&quot22&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531b01b492bab101e64fecd1562/2016102615460513.jpg&quot/&gt
&ltimgwidth=&quot175&quotheight=&quot28&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531b01b492bab101e64fecd1562/2016102615472431.jpg&quot/&gt
&ltimgwidth=&quot170&quotheight=&quot29&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531b01b492bab101e64fecd1562/20161026154713663.jpg&quot/&gt
&ltimgwidth=&quot189&quotheight=&quot21&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531b01b492bab101e64fecd1562/20161026154731681.jpg&quot/&gt
&ltimgwidth=&quot170&quotheight=&quot24&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/3c2b9531b01b492bab101e64fecd1562/20161026154740651.jpg&quot/&gt
第17题&ltimgwidth=&quot110&quotheight=&quot26&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/53700d8c28de48daa44679701c8037ec/20161026153610947.jpg&quot/&gt
A&ampcupB
A&ampcapB
A&ampcupB
&ltimgwidth=&quot53&quotheight=&quot24&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/53700d8c28de48daa44679701c8037ec/20161026153753253.jpg&quot/&gt
第18题设E是[01]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19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20题设E&ltsub&gt1&lt/sub&gt是(01)中的无理点集，E&ltsub&gt2&lt/sub&gt是R&ltsup&gt1&lt/sup&gt中的有理点集，E&ltsub&gt3&lt/sub&gt是康托集，其中基数最小的是（）
E&ltsub&gt1&lt/sub&gt
E&ltsub&gt3&lt/sub&gt
&ltp&gt不确定&lt/p&gt
E&ltsub&gt2&lt/sub&gt
第21题若E&ampsubR&ltsup&gt1&lt/sup&gt的外测度为零，则（）
E一定是不可数集
E一定是可测集
E不一定是可数集
mE=0
第22题&ltimgwidth=&quot326&quotheight=&quot26&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/4599ac3c681b4658a2d09df56c684bc6/20161026153037755.jpg&quot/&gt
空集
{0}
{(xy0)|x&ltsup&gt2&lt/sup&gt+y&ltsup&gt2&lt/sup&gt&ample1}
{1}
第23题康托集的基数为（）
0
c
2c
3c
第24题设P是康托集，则（）
P是可数集
P是开集
mP=0
mP=1
第25题若E是不可测集，mA=0E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26题&ltimgwidth=&quot319&quotheight=&quot29&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/49840cc92da04c5b8089d5889913512d/20161026153328953.jpg&quot/&gt
空集
{0}
{(xy0)|x&ltsup&gt2&lt/sup&gt+y&ltsup&gt2&lt/sup&gt&ample1}
{1}
第27题&ltp&gt若E&ampsubR&ltsup&gt1&lt/sup&gt至少有一个内点，则（）
&ltp&gtm&ltsup&gt*&lt/sup&gtE可以等于零&lt/p&gt
m&ltsup&gt*&lt/sup&gtE&ampgt0
E可能是可数集
E是可数集
第28题若mE=0，则E是（）
有界集
至多可列集
可列集
以上答案都不对
第29题&ltimgwidth=&quot332&quotheight=&quot28&quotalt=&quot&quotsrc=&quot/Attachment/Attachment/Itembank/QuestionAttachments/201610/61a953f9d77c4959b400025c32e2d80f/20161026152923264.jpg&quot/&gt
空集
{0}
(01)
{1}
第30题设A是闭集，B是开集，则A\B是（）
开集
闭集
完备集
不确定

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