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高等数学(2)(19秋)形考作业3

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发表于 2020-8-8 19:06:13 | 显示全部楼层 |阅读模式
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设<img id="ODzvshuTEMP20180523105808919.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODzvshuTEMP20180523105808919.png?Expires=1842404289&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fDCvalnd6vszKo7NqBUxZ%2Bzh6so%3D" />,则级数<img id="ODaxnxdTEMP20180523105809700.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODaxnxdTEMP20180523105809700.png?Expires=1842404289&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=h0Cl1XSSEGmZNIK87qK54exvweU%3D" />。
A:发散
B:条件收敛
C:绝对收敛
D:收敛性和<img id="ODmqjssTEMP20180523105810266.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODmqjssTEMP20180523105810266.png?Expires=1842404290&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=3CnXh/pS3GtEe5sUrXKbAI6Xk1Y%3D" />有关

公式<img id="ODuzeimTEMP20180523104439584.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODuzeimTEMP20180523104439584.png?Expires=1842403479&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=S4CzBclLbqTHiJXPK%2BqpdC8ZLto%3D" />
A:<img id="ODkhljcTEMP20180523104440268.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODkhljcTEMP20180523104440268.png?Expires=1842403480&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=UP4QLunIPEQK8JuofUZti35XeUE%3D" />
B:<img id="ODpvjenTEMP20180523104440234.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODpvjenTEMP20180523104440234.png?Expires=1842403480&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rlfOZoK75qSG3SFQVNllQoNUMtE%3D" />
C:<img id="ODvuthfTEMP20180523104440905.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvuthfTEMP20180523104440905.png?Expires=1842403481&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BCEjdH6Y4kJiILe5eex1yp71%2B4E%3D" />
D:<img id="ODkluhzTEMP20180523104440872.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODkluhzTEMP20180523104440872.png?Expires=1842403481&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=U3Om7/oAc1Wqy4nHD6VE7rEW7rA%3D" />

当()时,正项级数<img id="ODjommuTEMP20180523105803587.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjommuTEMP20180523105803587.png?Expires=1842404283&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BKA%2B0n/cZdfDa5DTzPMdcGW/oBY%3D" />收敛。
A:级数<img id="ODkcpjrTEMP20180523105803917.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODkcpjrTEMP20180523105803917.png?Expires=1842404283&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jeE7gImCCP9IG8I1fyLqxi3oYP8%3D" />收敛
B:<img id="ODzevjaTEMP20180523105804221.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODzevjaTEMP20180523105804221.png?Expires=1842404284&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=oDRg424Ixh5p3vubcaAf9maE4Xw%3D" />
C:<img id="ODvvxbhTEMP20180523105804513.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvvxbhTEMP20180523105804513.png?Expires=1842404284&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=sAS4d53G7brQMSSRDfOV9XK9NXU%3D" />且<img id="ODklnouTEMP20180523105804832.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODklnouTEMP20180523105804832.png?Expires=1842404284&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=P5hox1Q3ijs3kRZwiF8NlJppWb0%3D" />
D:级数<img id="ODkxgaaTEMP20180523105804788.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODkxgaaTEMP20180523105804788.png?Expires=1842404285&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2xfFEMsNIGeyQ139AltrerO//cE%3D" />收敛

若级数<img id="ODqewpvTEMP20180523110849093.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODqewpvTEMP20180523110849093.png?Expires=1842404929&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=cKXtSkmxK2fQibT5YLDlJOHKDfE%3D" />和级数<img id="ODhvlywTEMP20180523110849044.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhvlywTEMP20180523110849044.png?Expires=1842404929&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=S3F8AvR09UjNI7I8ODAvWFTkKxs%3D" />都发散,则。
A:级数<img id="ODlmktyTEMP20180523110849362.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlmktyTEMP20180523110849362.png?Expires=1842404930&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=va01gQyZw4kHRZJIDTGuiX24WwQ%3D" />必收敛
B:级数<img id="ODtndhhTEMP20180523110850028.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtndhhTEMP20180523110850028.png?Expires=1842404929&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IiWQMBvIej%2BxemV2CXnbG%2B/YUEE%3D" />必发散
C:级数<img id="ODuadhiTEMP20180523110850328.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODuadhiTEMP20180523110850328.png?Expires=1842404930&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=s2vbBNRctYFyt1isp09%2B6EnxyRY%3D" />必发散
D:级数<img id="ODlnbniTEMP20180523110850376.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlnbniTEMP20180523110850376.png?Expires=1842404931&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=cXip6XwhGhGhCHi9JWb5gpRdcAI%3D" />必发散

设<img id="ODknwzqTEMP20180523093526926.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODknwzqTEMP20180523093526926.png?Expires=1842399327&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=mu669qciaNBWn9jMAPOpNfOv3c8%3D" />,<img id="ODggwrwTEMP20180523093527593.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODggwrwTEMP20180523093527593.png?Expires=1842399327&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=714jsPwB1WcHHelzWjnWU4nkgVc%3D" />沿<img id="ODrygihTEMP20180523093528239.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODrygihTEMP20180523093528239.png?Expires=1842399328&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=RmIiKrwHCYfTGZlL8m6S6ujmBRg%3D" />从<img id="ODugsoqTEMP20180523093528266.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODugsoqTEMP20180523093528266.png?Expires=1842399329&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rSVSCbTYGXOErf82yyHp1A3gySs%3D" />到<img id="ODwbkecTEMP20180523093529930.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwbkecTEMP20180523093529930.png?Expires=1842399330&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yHGD6LY1uNyqgMQJHwMFbSCqXFM%3D" />
A:<img id="ODvmmrnTEMP20180523093530387.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvmmrnTEMP20180523093530387.png?Expires=1842399331&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=3mocjKk6iynwNeBYyLHc6pKED8I%3D" />,<img id="ODvxcvcTEMP20180523093531481.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvxcvcTEMP20180523093531481.png?Expires=1842399331&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LqwJMevElHDzs79yGmYaDA4kZsM%3D" />曲线积分与路径无关
B:可取折线<img id="ODxysrjTEMP20180523093531797.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODxysrjTEMP20180523093531797.png?Expires=1842399331&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=uPB%2B1fyyDUHkYS8vLW1vI4IMvCw%3D" />,<img id="ODeshjjTEMP20180523093532133.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODeshjjTEMP20180523093532133.png?Expires=1842399332&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=02VUs7kQtPPQ%2Bjb5lSkNYSrC1xA%3D" />,将<img id="ODjxdgrTEMP20180523093532688.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjxdgrTEMP20180523093532688.png?Expires=1842399333&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=5Joi6XwKlAWW2mcJoqODhTo%2BHHw%3D" />化为定积分计算
C:可取折线<img id="ODtenteTEMP20180523093532815.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtenteTEMP20180523093532815.png?Expires=1842399333&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=CpMAGH%2BJ6m79F7jm0EaOMXw9nYY%3D" />,<img id="ODfeogkTEMP20180523093533343.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODfeogkTEMP20180523093533343.png?Expires=1842399333&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IYnRQP47Utlywbm1FFMkCkN%2B8fM%3D" />,将<img id="ODhqexnTEMP20180523093533693.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhqexnTEMP20180523093533693.png?Expires=1842399334&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=dlwWR5NHU6Sg1V9sKRMmbYzJiVk%3D" />化为定积分计算
D:可取折线<img id="ODqtpwjTEMP20180523093534592.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODqtpwjTEMP20180523093534592.png?Expires=1842399334&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=o2SSxiKxX25Qz1F3pUbw3ABSICE%3D" />,<img id="ODfpgwcTEMP20180523093534905.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODfpgwcTEMP20180523093534905.png?Expires=1842399335&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=3ekWhBMLyYiuG2xKq8AWIC5IEPs%3D" />,<img id="ODdivlcTEMP20180523093535213.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODdivlcTEMP20180523093535213.png?Expires=1842399335&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=/5GpOsS83%2BHLyoSVTY9vABqq0xI%3D" />,将<img id="ODcwojoTEMP20180523093535470.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODcwojoTEMP20180523093535470.png?Expires=1842399336&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=l4FYN7c0aoZJRNATQzfDRvJ2dKM%3D" />化为定积分计算。

设<img id="ODwllshTEMP20180523095850075.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwllshTEMP20180523095850075.png?Expires=1842400730&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1v6bmS3GhDbYMOFsQa5H6r9RoRY%3D" />,<img id="ODpoqtaTEMP20180523095850902.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODpoqtaTEMP20180523095850902.png?Expires=1842400730&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1i9D5xEtiJBI4hX0fqSrQ8nwRjo%3D" />沿<img id="ODcihtjTEMP20180523095851301.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODcihtjTEMP20180523095851301.png?Expires=1842400731&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IHIEicO05VC%2BcrdrT8jD3biA23M%3D" />从<img id="ODrxkppTEMP20180523095851608.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODrxkppTEMP20180523095851608.png?Expires=1842400731&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yrRMpIMwZ%2B64q5AhKXrdUxv8xOo%3D" />到<img id="ODjacwnTEMP20180523095851597.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjacwnTEMP20180523095851597.png?Expires=1842400732&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yfNXj6UhVQP//%2BeGfSQ21nRrZYE%3D" />
A:因为<img id="ODknjmnTEMP20180523095851931.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODknjmnTEMP20180523095851931.png?Expires=1842400732&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=tE3Hmqpt1Gdmdy6SLYqO/5a4AE8%3D" />,所以曲线积分与路径无关
B:可取折线<img id="ODgnsekTEMP20180523095852289.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODgnsekTEMP20180523095852289.png?Expires=1842400732&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=bkjDmNQARoAZNUUZiu3sWZn%2BuWo%3D" />,<img id="ODahzkrTEMP20180523095852940.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODahzkrTEMP20180523095852940.png?Expires=1842400732&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7hTw4eaJLHYiD1NlXn1Hfw/VBt8%3D" />,将<img id="ODptwhcTEMP20180523095852932.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODptwhcTEMP20180523095852932.png?Expires=1842400733&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Tvm1LU3UzL9c7eCByRhm0Vbg/bg%3D" />化为定积分计算
C:可取折线<img id="ODquhpuTEMP20180523095853731.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODquhpuTEMP20180523095853731.png?Expires=1842400733&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=InrbBkE9YbH3VUzZvVcFFJfwPf0%3D" />,<img id="ODthxjtTEMP20180523095853809.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODthxjtTEMP20180523095853809.png?Expires=1842400734&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=RMnQZbCjF0LmWt%2B/m/Fn/FHnngQ%3D" />,将<img id="ODtmdtzTEMP20180523095854144.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtmdtzTEMP20180523095854144.png?Expires=1842400734&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DvKyTnLyV%2BWnTsvzcapTB4xcjAg%3D" />化为定积分计算
D:可取折线<img id="ODhmoyoTEMP20180523095854471.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhmoyoTEMP20180523095854471.png?Expires=1842400735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=D3yIV3ok38kwrCbwKM6uTs/6Db8%3D" />,<img id="ODdxbhuTEMP20180523095855124.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODdxbhuTEMP20180523095855124.png?Expires=1842400735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gli5HkXNAL6VSovjwPsrU5lBMew%3D" />,<img id="ODzhgneTEMP20180523095855428.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODzhgneTEMP20180523095855428.png?Expires=1842400735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=OoOQmbvx6Kbc3pGTOGv0XLpwR6I%3D" />,将<img id="ODqqaiuTEMP20180523095855418.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODqqaiuTEMP20180523095855418.png?Expires=1842400736&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Coh2zL6K4DvD6Ydp5wvBAwFdJyA%3D" />化为定积分计算。

下面结论正确的是。
A:若级数<img id="ODzrezwTEMP20180523111603078.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODzrezwTEMP20180523111603078.png?Expires=1842405363&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Qi/97GQUeqfo%2BwOA8JrAiLGRqzE%3D" />,<img id="ODptwtwTEMP20180523111603374.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODptwtwTEMP20180523111603374.png?Expires=1842405364&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=awl8tb2ZWn6qw6zr7Jpx9UgBu%2BY%3D" />均收敛,则<img id="ODdubpoTEMP20180523111603665.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODdubpoTEMP20180523111603665.png?Expires=1842405363&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7A59w3Ln04Y/epiwlwjTQ7nZSgI%3D" />收敛
B:若级数<img id="ODwnbugTEMP20180523111604357.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwnbugTEMP20180523111604357.png?Expires=1842405364&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rC9VQT3JTB/Ih4Tl3whBTPKiulA%3D" />收敛,则级数<img id="ODapmrlTEMP20180523111604662.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODapmrlTEMP20180523111604662.png?Expires=1842405364&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8mITIK9EJkTQ%2BedkQM1TCES/zbE%3D" />,<img id="ODfhdxuTEMP20180523111604953.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODfhdxuTEMP20180523111604953.png?Expires=1842405365&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LZFkgtyTGQXnrIUMoOUDl2jqs2c%3D" />均收敛
C:若级数<img id="ODhudcuTEMP20180523111605102.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhudcuTEMP20180523111605102.png?Expires=1842405365&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ymi82WrwhLH3ouzg2DOQU%2BiAfBY%3D" />发散,则<img id="ODwvhhvTEMP20180523111605799.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwvhhvTEMP20180523111605799.png?Expires=1842405366&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ZBw5GCN8owlhHbsvs3u0nbW3OUU%3D" />
D:若级数<img id="ODhtyijTEMP20180523111605907.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhtyijTEMP20180523111605907.png?Expires=1842405366&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JHqfLaf9IbdSN2D7Dgc8u%2Bwzecc%3D" />收敛,且<img id="ODjcqxbTEMP20180523111606235.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjcqxbTEMP20180523111606235.png?Expires=1842405366&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=N%2BzPh6Oy8KwNtn5FZX9wNVibsJI%3D" />,则级数<img id="ODtlpqaTEMP20180523111606550.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtlpqaTEMP20180523111606550.png?Expires=1842405367&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2iAi3hiPZFcNURcBovAWKhJxNyI%3D" />收敛

<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/MCOV/2018/0523/PInhomrMCOV20180523145106880.png?Expires=3419218269&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=W8xQnWnViTTM2J/YSUOL7qcjvPo%3D" title="image.png" alt="image.png"></p>
A:<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/VWXS/2018/0523/PIahulwVWXS20180523145153476.png?Expires=3419218314&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=yK%2Bt6ttTPUlzBpIJCEU5Ambo2IM%3D" title="image.png" alt="image.png"></p>
B:<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/FLQI/2018/0523/PIksalqFLQI20180523145212185.png?Expires=3419218333&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=mzDDYKPohOCnMKYYzf/9TfEF9Z4%3D" title="image.png" alt="image.png"></p>
C:<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/TOYY/2018/0523/PIyzownTOYY20180523145230831.png?Expires=3419218352&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=RxFnJSHMfYGWjMU78nB6XPGJQJ8%3D" title="image.png" alt="image.png"></p>
D:<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/DFCE/2018/0523/PIurjzvDFCE20180523145252636.png?Expires=3419218372&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=MNxICnUHQjQvB4/I762CqxSbH2U%3D" title="image.png" alt="image.png"></p>

公式<img id="ODlmlszTEMP20180523104430711.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlmlszTEMP20180523104430711.png?Expires=1842403471&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=g5FnwQhHvPcwCNbml4gdjDR1ib0%3D" />
A:<img id="ODkpyekTEMP20180523104431395.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODkpyekTEMP20180523104431395.png?Expires=1842403471&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=qrHxIX5ZW%2B7J66qE0z4UvqZAA%2Bk%3D" />
B:<img id="ODtobruTEMP20180523104431392.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtobruTEMP20180523104431392.png?Expires=1842403471&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VDY6vrab2oFG6FV3Lq%2Byrn7631g%3D" />
C:<img id="ODlgdnsTEMP20180523104432125.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlgdnsTEMP20180523104432125.png?Expires=1842403472&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=uh8kTzZG3scP5IG%2ByMbw1qVRqWY%3D" />
D:<img id="ODdznooTEMP20180523104432208.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODdznooTEMP20180523104432208.png?Expires=1842403473&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=SRbDBrDaoxFpm8tRi61QxXLNVUA%3D" />

看<img id="ODaddvuTEMP20180523104035791.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODaddvuTEMP20180523104035791.png?Expires=1842403235&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=vfjSLL39tZp6Vjn25SP8tYVGojA%3D" />其中<img id="ODekjxjTEMP20180523104036106.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODekjxjTEMP20180523104036106.png?Expires=1842403236&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=0Bk3ZIDrqBQHtfn4qEwej1WbeL4%3D" />为下半球面:<img id="ODwsdtnTEMP20180523104036349.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwsdtnTEMP20180523104036349.png?Expires=1842403236&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Qa0XqdPnERV4HoK0yj29mtsTuYE%3D" />的上侧,则<img id="ODofveaTEMP20180523104037044.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODofveaTEMP20180523104037044.png?Expires=1842403237&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=eFwd%2B8HHdNi%2BvZ8MI5Oo5sqfTmA%3D" />值为:
A:<img id="ODrvhelTEMP20180523104037406.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODrvhelTEMP20180523104037406.png?Expires=1842403237&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kCgujrNd8kMM8X2qIU7fN50zNIM%3D" />
B:<img id="ODoclmsTEMP20180523104037714.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODoclmsTEMP20180523104037714.png?Expires=1842403237&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GLh5EZ97eFTOv4cy8SDyJUAxXDE%3D" />
C:<img id="ODjosuhTEMP20180523104037685.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjosuhTEMP20180523104037685.png?Expires=1842403238&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9m%2BcJjjEm1MtQenOyfowuRySkGE%3D" />
D:<img id="ODpnjepTEMP20180523104038031.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODpnjepTEMP20180523104038031.png?Expires=1842403238&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=MIntBRY4BuixHxy21ATz5R6qsdU%3D" />

闭曲面<img id="ODpqrcpTEMP20180523103326863.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODpqrcpTEMP20180523103326863.png?Expires=1842402807&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=i/a3B/hVrdn7ulZYE2xZVrqqJPU%3D" />所围立体体积<img id="ODnokrqTEMP20180523103327135.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODnokrqTEMP20180523103327135.png?Expires=1842402807&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=67s4FOJ6BKe%2B357mBKxVmhlk9y4%3D" />(<img id="ODrbrklTEMP20180523103327504.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODrbrklTEMP20180523103327504.png?Expires=1842402807&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=0zIpW4vhCW0B0Wl/d9z71jVZo0E%3D" />取外侧)
A:对
B:错

曲面<img id="ODwzfmpTEMP20180523103909537.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwzfmpTEMP20180523103909537.png?Expires=1842403149&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Lq3vJUON7IoD3Px9WI8khUYSDqk%3D" />是因曲面<img id="ODgtwpjTEMP20180523103910289.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODgtwpjTEMP20180523103910289.png?Expires=1842403150&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=0wLpqdI6pwjryXPWU1A2FgGZ9TQ%3D" />关于<img id="ODvjqecTEMP20180523103910252.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvjqecTEMP20180523103910252.png?Expires=1842403150&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zFq0keoxe3mY3hg3oyyROO8Pk/4%3D" />平面对称,又<img id="ODlwyzyTEMP20180523103910562.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlwyzyTEMP20180523103910562.png?Expires=1842403151&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7IrX1OURmVyIN%2BB5N/AGoZjRVBA%3D" />对<img id="ODjpcgsTEMP20180523103911215.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjpcgsTEMP20180523103911215.png?Expires=1842403151&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=6bxEiSbUlHpGOx19GLlivrFF844%3D" />为偶函数,故:<img id="ODmrrjpTEMP20180523103911198.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODmrrjpTEMP20180523103911198.png?Expires=1842403152&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jpuU7a1j%2B9vzK42p3VmEG26x80I%3D" />.
A:对
B:错

<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/ZTON/2018/0523/PIlcfjlZTON20180523163856448.png?Expires=3419224737&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=0HCnDFPv1HSHcbZyfo86yUUVjW8%3D" title="image.png" alt="image.png"></p>
A:正确
B:错误

<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/JHXL/2018/0523/PIgwgpcJHXL20180523170912382.png?Expires=3419226552&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=lmHV9ID4tcRSEKGFRZiCmmQnDJE%3D" title="image.png" alt="image.png"></p>
A:正确
B:错误

<img id="ODhnvfzTEMP20180523103912400.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhnvfzTEMP20180523103912400.png?Expires=1842403152&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=/LbBjVZL/8w0P%2B3yemvhObHPRWM%3D" />为曲面<img id="ODnqvlgTEMP20180523103912380.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODnqvlgTEMP20180523103912380.png?Expires=1842403152&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=27XC5iyLtZlp/EY75XiIQXPzcZU%3D" />则<img id="ODhyatqTEMP20180523103912697.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhyatqTEMP20180523103912697.png?Expires=1842403153&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=iWlcOpPYYfft2JbDIEKDsdplo7k%3D" />(<img id="ODwybwlTEMP20180523103913360.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwybwlTEMP20180523103913360.png?Expires=1842403153&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9L09b5RFpEVGfX8Ej7pGouOW3ZY%3D" />取外侧)
A:对
B:错

<img id="ODogaymTEMP20180523102106443.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODogaymTEMP20180523102106443.png?Expires=1842402066&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=U00PyqPyeMb%2BUSqW0A0tfRFPrto%3D" />为曲面<img id="ODwqoraTEMP20180523102106776.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwqoraTEMP20180523102106776.png?Expires=1842402067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=wvh9d6rWm7fz%2BJXnSoKpY8xfiNQ%3D" />为球面外法线方向余弦,则有:<img id="ODoxoouTEMP20180523102107452.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODoxoouTEMP20180523102107452.png?Expires=1842402067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=/iITinHKXEIS9anhI7T6BOonanc%3D" />,其中<img id="ODlepfbTEMP20180523102107727.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlepfbTEMP20180523102107727.png?Expires=1842402067&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=24V0%2BfOU73bc22FS17TjSwUz82M%3D" />为在<img id="ODhzckdTEMP20180523102108273.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhzckdTEMP20180523102108273.png?Expires=1842402068&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DhK8WHtVRKiz3c3t11T9FDk1Tkg%3D" />面上的投影区域.
A:对
B:错

<img id="ODnguocTEMP20180523103324462.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODnguocTEMP20180523103324462.png?Expires=1842402804&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Szca7ORUip8r/W10LBtuhF0ltcc%3D" />为曲面<img id="ODtznuzTEMP20180523103324791.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtznuzTEMP20180523103324791.png?Expires=1842402805&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=c1dWoHJ13Lcsz/JY8wiHwuHcfCw%3D" />为球面外法线方向余弦,则有:<img id="ODfrharTEMP20180523103325460.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODfrharTEMP20180523103325460.png?Expires=1842402805&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=tmvfFmpZGfeFnpRkB%2BZd/kwU9nI%3D" />,其中<img id="ODfxymkTEMP20180523103325777.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODfxymkTEMP20180523103325777.png?Expires=1842402805&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=SLZTbWEr0QNpRVNxemd3xglX1O0%3D" />为在<img id="ODxavosTEMP20180523103326287.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODxavosTEMP20180523103326287.png?Expires=1842402806&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=dWuFIY/cSrBTU5UiqSPCMmlHdw8%3D" />面上的投影区域.
A:对
B:错

<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/KBCM/2018/0523/PIumolzKBCM20180523153410464.png?Expires=3419220851&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=oQXqdVhQKwalPSVAHSuxF/I3Fqk%3D" title="image.png" alt="image.png"></p>
A:正确
B:错误

若在复连通区域<img id="ODydyiiTEMP20180523100816061.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODydyiiTEMP20180523100816061.png?Expires=1842401296&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=RV7QPJ0bwcO2OfOLbd8iLtYH0eY%3D" />内有<img id="ODnwrkzTEMP20180523100816112.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODnwrkzTEMP20180523100816112.png?Expires=1842401296&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2fn%2Bv9OfIHUIdC3eDCF2kEvZ%2BXY%3D" />,则沿<img id="ODazyjpTEMP20180523100816462.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODazyjpTEMP20180523100816462.png?Expires=1842401296&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=H8VZXYpR0W/AEZLW7Cm9Ly4u61M%3D" />内任一闭曲线<img id="ODzklcuTEMP20180523100816806.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODzklcuTEMP20180523100816806.png?Expires=1842401297&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=SYJJZmijkkvGIXAUCJJx6CwqQ8A%3D" />,<img id="ODnjdluTEMP20180523100817448.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODnjdluTEMP20180523100817448.png?Expires=1842401297&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=MsWiZhfqShx4zdSx7kP1QkQdOAg%3D" />
A:对
B:错

<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/VJXP/2018/0523/PIdhdmxVJXP20180523155313801.png?Expires=3419221994&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=cO2DyTnQiKrq1GT6GqTA8%2BPvHs8%3D" title="image.png" alt="image.png"></p>
A:正确
B:错误

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