高等数学（2）（19秋）形考作业2

adminhan

公式<img id="ODetausTEMP20180523103728595.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODetausTEMP20180523103728595.png?Expires=1842403049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FneBtGNjYAzgGgwuPyoO6yGMmXc%3D" />
A:<img id="ODadyiuTEMP20180523103729196.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODadyiuTEMP20180523103729196.png?Expires=1842403049&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Q3y%2BV88jwgM4czm3m3NRtWdPGjE%3D" />
B:<img id="ODzcljqTEMP20180523103729726.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODzcljqTEMP20180523103729726.png?Expires=1842403050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=MDmVr61PtDIols79DWqENBmdseM%3D" />
C:<img id="ODluwusTEMP20180523103730418.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODluwusTEMP20180523103730418.png?Expires=1842403050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=p83iLtBAsiRWMKyD7j3mOXroK6s%3D" />
D:<img id="ODsxijvTEMP20180523103730904.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODsxijvTEMP20180523103730904.png?Expires=1842403050&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=eTW9lrynbg78pkuOb9p3pV1oSiY%3D" />

判别级数<img id="ODvxlvnTEMP20180523105941840.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvxlvnTEMP20180523105941840.png?Expires=1842404382&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8C7z/MwUWYrEuLG6BlEWDiOv6dw%3D" />的敛散性
A:因<img id="ODqpwbwTEMP20180523105942173.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODqpwbwTEMP20180523105942173.png?Expires=1842404382&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=iEgja%2BWklMpl2nyi1SCemgzL14c%3D" />,故级数收敛
B:因<img id="ODyhoheTEMP20180523105942888.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODyhoheTEMP20180523105942888.png?Expires=1842404382&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jjDQQER%2BlmcCdcQbz20wFkJJ26U%3D" />,故级数收敛
C:因<img id="ODskacwTEMP20180523105943209.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODskacwTEMP20180523105943209.png?Expires=1842404383&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DHW5Bn6a0TIu36evLmOEZt3whho%3D" />故级数发散
D:因为<img id="ODmdfhoTEMP20180523105943164.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODmdfhoTEMP20180523105943164.png?Expires=1842404383&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=mT%2BguDoZdeHQ0aGPwhKz8PKhTGY%3D" />故级数发散

若级数<img id="ODionpgTEMP20180523111615256.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODionpgTEMP20180523111615256.png?Expires=1842405375&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TGi5Ie6Vaekrnd9HrBhjG5HR3rw%3D" />收敛,则<img id="ODilhhhTEMP20180523111615933.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODilhhhTEMP20180523111615933.png?Expires=1842405375&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BHZin14rh4Gxt9kyrhKXnwWTPfo%3D" />
A:为0
B:为1
C:不存在
D:不能确定

公式<img id="ODugubbTEMP20180523103328197.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODugubbTEMP20180523103328197.png?Expires=1842402808&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=3EN6L4hy2KkgQJZN4nIfq08PgHQ%3D" />
A:<img id="ODjueidTEMP20180523103328195.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjueidTEMP20180523103328195.png?Expires=1842402808&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=amY9LrZpi5A6TCMoHO2yE9vu3Eo%3D" />
B:<img id="ODenbeoTEMP20180523103328610.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODenbeoTEMP20180523103328610.png?Expires=1842402809&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4216kk26aMQTsRVmp0aJTRcDnLw%3D" />
C:<img id="ODnrbauTEMP20180523103328942.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODnrbauTEMP20180523103328942.png?Expires=1842402809&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lYZS%2BGf8QfQ4PGDnIn4yN7I14/w%3D" />
D:<img id="ODvutcnTEMP20180523103329878.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvutcnTEMP20180523103329878.png?Expires=1842402810&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=/bn0q8XTXEa8eEYDoYP1iqju95U%3D" />

设<img id="ODdyfppTEMP20180523095409457.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODdyfppTEMP20180523095409457.png?Expires=1842400450&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=iHexprcfeOhUgWQ0GswvsqLuuUI%3D" />,<img id="ODodkhaTEMP20180523095410159.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODodkhaTEMP20180523095410159.png?Expires=1842400450&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jFTNcHHjA%2Bf6I3nhBQOp1vLzY4A%3D" />沿<img id="ODuznflTEMP20180523095410151.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODuznflTEMP20180523095410151.png?Expires=1842400450&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ngm3D9HLQXd7Wfk6icxLt1xBMR4%3D" />从<img id="ODalvhiTEMP20180523095410490.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODalvhiTEMP20180523095410490.png?Expires=1842400450&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=cDjUhz/U3eSH6oNqc5M1BQCiLgk%3D" />到<img id="ODaooizTEMP20180523095410815.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODaooizTEMP20180523095410815.png?Expires=1842400451&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=b9MLdA7Ef5xDEs7HG8m8D%2BrwPe4%3D" />
A:因为<img id="ODlrqqjTEMP20180523095411336.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlrqqjTEMP20180523095411336.png?Expires=1842400452&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=UUDtccdgHk2pAoTXh0VjOpSo6Wo%3D" />,所以曲线积分与路径无关
B:可取折线<img id="ODaqkpeTEMP20180523095411737.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODaqkpeTEMP20180523095411737.png?Expires=1842400452&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=PhNO/IoFCCR4IOFaeQADMC%2BOiIQ%3D" />,<img id="ODhdcbnTEMP20180523095412606.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhdcbnTEMP20180523095412606.png?Expires=1842400452&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=o9L0fgukDSv6TXUln%2BWjUnNxTIg%3D" />,将<img id="ODwxzpfTEMP20180523095412633.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwxzpfTEMP20180523095412633.png?Expires=1842400453&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=caKmWzK/r47Jl%2B4SlHp7ZbaqjpA%3D" />化为定积分计算
C:可取折线<img id="ODgwzzkTEMP20180523095412971.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODgwzzkTEMP20180523095412971.png?Expires=1842400453&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=eC4AnROx5bsqDq4nUqbUrpTQRpY%3D" />,<img id="ODkztdfTEMP20180523095413304.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODkztdfTEMP20180523095413304.png?Expires=1842400453&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zWjdldm9nKbguIey%2BCsL5fxwWb4%3D" />,将<img id="ODgqbisTEMP20180523095413626.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODgqbisTEMP20180523095413626.png?Expires=1842400453&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BGsgYp%2BWkZSW0YAZ2H21xC3d95A%3D" />化为定积分计算
D:可取折线<img id="ODbyupkTEMP20180523095414290.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODbyupkTEMP20180523095414290.png?Expires=1842400454&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=hr1pDepbqb6aBrw6S2WI2GLeUeQ%3D" />,<img id="ODtgjejTEMP20180523095414803.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtgjejTEMP20180523095414803.png?Expires=1842400455&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BkgCkAm/RdDei5luBUe6xVTBjjQ%3D" />,<img id="ODfvtopTEMP20180523095414879.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODfvtopTEMP20180523095414879.png?Expires=1842400455&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NXfGsQvg3Z35rQqk1IWNxkWg1lc%3D" />,将<img id="ODxgfoyTEMP20180523095415534.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODxgfoyTEMP20180523095415534.png?Expires=1842400455&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FgAka%2BkHugXqnzmEuouyEhPuFzs%3D" />化为定积分计算。

若级数<img id="ODqncmeTEMP20180523111612098.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODqncmeTEMP20180523111612098.png?Expires=1842405372&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xl91mz%2BHLt3L%2BprVgar7bhuxDBA%3D" />和正项级数<img id="ODdrrwzTEMP20180523111612423.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODdrrwzTEMP20180523111612423.png?Expires=1842405372&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=/ftxsEn/CbnmvA1Rpp38tjhvQUI%3D" />都收敛,则
A:级数<img id="ODryzkiTEMP20180523111612655.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODryzkiTEMP20180523111612655.png?Expires=1842405373&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=l%2BLaU7nUh0DNiaOqJMM1AKErNT0%3D" />收敛
B:级数<img id="ODyqswvTEMP20180523111612975.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODyqswvTEMP20180523111612975.png?Expires=1842405373&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=PnPPGngsG9/L71lIyel/HOb/kkU%3D" />未必收敛
C:级数<img id="ODlwkqzTEMP20180523111613748.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlwkqzTEMP20180523111613748.png?Expires=1842405373&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=De%2BaHxp0qL6okDuTHkmbkvRK8WU%3D" />收敛
D:级数<img id="ODyanebTEMP20180523111614052.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODyanebTEMP20180523111614052.png?Expires=1842405374&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=eLUJ4zyKiaNVMzNknfqNEB/pyNg%3D" />,未必收敛

已知函数<img id="ODccfldTEMP20180523102011458.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODccfldTEMP20180523102011458.png?Expires=1842402011&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=/KaxzfWm/rb3lDhGcIswWxKyE7M%3D" />在光滑曲面<img id="ODrskxxTEMP20180523102012135.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODrskxxTEMP20180523102012135.png?Expires=1842402012&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=O3mWHo/sjiqZL0s4WhabN7JxxKQ%3D" />:<img id="ODwmffaTEMP20180523102012474.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwmffaTEMP20180523102012474.png?Expires=1842402013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Y%2BLUIoSG67VcQ3PBHr6tnbjXer8%3D" />上连续,<img id="ODrrneyTEMP20180523102012807.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODrrneyTEMP20180523102012807.png?Expires=1842402013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FsyKG/XBaedk6nKD/StKHwRXvyM%3D" />为<img id="ODmrlljTEMP20180523102013145.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODmrlljTEMP20180523102013145.png?Expires=1842402013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gBv%2BbqSiiinVWa/z1fkA1w6Gtrk%3D" />在<img id="ODpvuteTEMP20180523102013797.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODpvuteTEMP20180523102013797.png?Expires=1842402013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gVnBi7iISyxFhkvt1HHroQcHtlM%3D" />面上的投影,如果<img id="ODvdhtgTEMP20180523102013764.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvdhtgTEMP20180523102013764.png?Expires=1842402014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TK/bZ4lOk0VU83dBTwSo9J6cL%2B0%3D" />取后侧,则积分<img id="ODbfiqvTEMP20180523102014088.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODbfiqvTEMP20180523102014088.png?Expires=1842402014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=nq7VOHO37X/TDjyw02b0BmmeU3A%3D" />与<img id="ODpvzmmTEMP20180523102014845.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODpvzmmTEMP20180523102014845.png?Expires=1842402015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=l9Juwc3shX28pk%2BkRHh43N0BoLE%3D" />的关系为:
A:<img id="ODlkqxhTEMP20180523102015515.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlkqxhTEMP20180523102015515.png?Expires=1842402015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Yzi1wH0Cxk12nNJHQHYq5DuronI%3D" />
B:<img id="ODcmyafTEMP20180523102015832.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODcmyafTEMP20180523102015832.png?Expires=1842402015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=bfR%2B7F5MycSDp/YgowiujeM/AwM%3D" />
C:<img id="ODhheweTEMP20180523102015797.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODhheweTEMP20180523102015797.png?Expires=1842402016&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=huQh4TD1hLA1fuPIiR5tlSpNF9Y%3D" />
D:<img id="ODoqkmhTEMP20180523102016481.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODoqkmhTEMP20180523102016481.png?Expires=1842402016&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=AWFGqr%2Bt6SIkyq7%2B0RFVHVfPsRU%3D" />

公式<img id="ODmencqTEMP20180523103337581.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODmencqTEMP20180523103337581.png?Expires=1842402817&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=bxpUPgmm9iEXLM5a01PPQNv//Zo%3D" />
A:<img id="ODlnfalTEMP20180523103337536.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlnfalTEMP20180523103337536.png?Expires=1842402818&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rTYJ6CrtUD73%2BvAjaUL0Ivhatag%3D" />
B:<img id="ODayhycTEMP20180523103338073.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODayhycTEMP20180523103338073.png?Expires=1842402818&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=V7zexCHGw2sz6kko4OTGYwSGzMo%3D" />
C:<img id="ODavakyTEMP20180523103338915.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODavakyTEMP20180523103338915.png?Expires=1842402819&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pTq8EHX6ibpmimRn8oLQD6wtDd0%3D" />
D:<img id="ODwuzhxTEMP20180523103339123.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwuzhxTEMP20180523103339123.png?Expires=1842402819&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=J3vo8l8AawOOMePyCSVkgJZdJ1s%3D" />

正项级数<img id="ODlgzgmTEMP20180523111559703.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlgzgmTEMP20180523111559703.png?Expires=1842405360&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7zHDyTpOvdsNdAzoNUtQMAh2GbI%3D" />收敛是级数<img id="ODnjvetTEMP20180523111600403.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODnjvetTEMP20180523111600403.png?Expires=1842405360&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HCjdGdUZV8daB8/vesEdTsVHrzk%3D" />收敛的。
A:必要条件
B:充分条件
C:充要条件
D:即非充分也非必要

公式<img id="ODlpfkjTEMP20180523103335166.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlpfkjTEMP20180523103335166.png?Expires=1842402816&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ouj9KXHPAzc0sjQAz/VzjGhx/lw%3D" />
A:<img id="ODtecuxTEMP20180523103336004.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtecuxTEMP20180523103336004.png?Expires=1842402816&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=c/14Y%2BmMlpbQUIYU3bDSNlYWbjQ%3D" />
B:<img id="ODlleisTEMP20180523103336329.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlleisTEMP20180523103336329.png?Expires=1842402816&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BqxCRUamTrHl83RguCEerp8ObcA%3D" />
C:<img id="ODfqxssTEMP20180523103336969.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODfqxssTEMP20180523103336969.png?Expires=1842402816&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=AnPjb9MwmfVZInw/re/fSvcFe3Y%3D" />
D:<img id="ODyhgquTEMP20180523103337273.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODyhgquTEMP20180523103337273.png?Expires=1842402817&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=dB1aA8/aKjuklEDza%2Buj0nnPo2k%3D" />

曲面<img id="ODwzvxvTEMP20180523103712936.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwzvxvTEMP20180523103712936.png?Expires=1842403032&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TpQHhKHPt0TemJW2UJgfafR/7kc%3D" />是因曲面<img id="ODvokreTEMP20180523103713284.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODvokreTEMP20180523103713284.png?Expires=1842403033&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2GxpBq/xcUxIIJGB7rdh5gZISV4%3D" />关于<img id="ODxkykhTEMP20180523103713251.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODxkykhTEMP20180523103713251.png?Expires=1842403033&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=58fMhxCKp7CTQX%2BcNJQW4TdXrDQ%3D" />平面对称,又<img id="ODonfwkTEMP20180523103713903.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODonfwkTEMP20180523103713903.png?Expires=1842403034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=regBZkGE9Zpd3K8Gnl6i2tXlWtA%3D" />对<img id="ODqhtujTEMP20180523103714440.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODqhtujTEMP20180523103714440.png?Expires=1842403034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fdeggUmUBsnczoCE3A0ULj08joo%3D" />为偶函数,故:<img id="ODsxknbTEMP20180523103714526.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODsxknbTEMP20180523103714526.png?Expires=1842403034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1RtVBLlf78HrP5/%2Bqdd00l1kCw8%3D" />.
A:对
B:错

<img id="ODajmeyTEMP20180523104019362.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODajmeyTEMP20180523104019362.png?Expires=1842403219&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Wa/o8rKwUpTG%2B5Wpn3KDXZYMrP0%3D" />为曲面<img id="ODwlxgjTEMP20180523104019342.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODwlxgjTEMP20180523104019342.png?Expires=1842403219&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NrswMFg7K%2BRA3gv6SnqzNlo3GM4%3D" />则<img id="ODipzhdTEMP20180523104019659.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODipzhdTEMP20180523104019659.png?Expires=1842403220&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=AeZyezgS36jhVYYSxPFTsAsegIE%3D" />(<img id="ODohetqTEMP20180523104019996.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODohetqTEMP20180523104019996.png?Expires=1842403220&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=vR3ZXcQF0mW2zMwT13EwAwUUIak%3D" />取外侧)
A:对
B:错

<p><span style="font-size:14px;font-family:宋体">设闭区域</span><span style="font-size:14px;font-family:等线;position:relative;top:3px">D</span><span style="font-size:14px;font-family:宋体">由分段光滑的曲线</span><span style="font-size:14px;font-family:等线;position:relative;top:3px">L</span><span style="font-size:14px;font-family:宋体">围城，函数</span><span style="font-size:14px;font-family:等线;position:relative;top:6px">P(x,y)及Q(x,y)</span><span style="font-size:14px;font-family:宋体">在</span><span style="font-size:14px;font-family:等线;position:relative;top:3px">D</span><span style="font-size:14px;font-family:宋体">上具有一阶连续偏导数，且</span><span style="font-size: 14px;"><font face="等线">L</font></span><span style="font-size:14px;font-family:宋体">是</span><span style="font-size:14px;font-family:等线;position:relative;top:3px">D</span><span style="font-size:14px;font-family:宋体">的取正向的边界曲线，则有</span> <span style="font-size:14px;font-family:等线;position:relative;top:9px"><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/OBQR/2018/0523/PIbgbwoOBQR20180523151403486.png?Expires=3419219644&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=lVkQW8BTEBCmpO4OXMGUlatNl0A%3D" title="image.png" alt="image.png"></span><span style="font-size:14px;font-family:宋体">。</span></p>
A:正确
B:错误

设<img id="ODcswbzTEMP20180523100813427.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODcswbzTEMP20180523100813427.png?Expires=1842401293&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=5PGrQPyX9nwr8WVKj0vJjiYqjpI%3D" />为平面闭曲线<img id="ODlmyrmTEMP20180523100813400.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlmyrmTEMP20180523100813400.png?Expires=1842401293&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=o/766QfkTagre668fjC/stZVFmg%3D" />的外法线向量,则<img id="ODzzsyeTEMP20180523100814094.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODzzsyeTEMP20180523100814094.png?Expires=1842401294&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gyrlfC6JQ6RzwgKa7MOi7oP2Nl0%3D" />
A:对
B:错

闭曲面<img id="ODxmiyrTEMP20180523104022416.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODxmiyrTEMP20180523104022416.png?Expires=1842403222&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=T9%2BXpO%2BsNG16Ysv15gRdNKm6tvo%3D" />所围立体体积<img id="ODinwmdTEMP20180523104022739.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODinwmdTEMP20180523104022739.png?Expires=1842403223&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WmRXCumZAyrljL7DWHzUf1up/Kw%3D" />(<img id="ODxqzxlTEMP20180523104023390.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODxqzxlTEMP20180523104023390.png?Expires=1842403223&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=44Fz/oqyJkCmrA8b8Qu01XMtCVI%3D" />取外侧)
A:对
B:错

曲面<img id="ODpqwjcTEMP20180523103320388.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODpqwjcTEMP20180523103320388.png?Expires=1842402800&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1%2BYzi9z/i2fqRV7zJ9sOzhlt888%3D" />是因曲面<img id="ODlyvzjTEMP20180523103320751.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlyvzjTEMP20180523103320751.png?Expires=1842402800&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HONErAW3kr8ojTzCRxd7T/bHEsM%3D" />关于<img id="ODrhqalTEMP20180523103320715.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODrhqalTEMP20180523103320715.png?Expires=1842402801&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=y%2BI5ICWlbm/eUECimETnimtYZT0%3D" />平面对称,又<img id="ODjxrooTEMP20180523103321289.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjxrooTEMP20180523103321289.png?Expires=1842402802&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=RjhI14R45WWxRfjAd8MdtAfWzCw%3D" />对<img id="ODcjutuTEMP20180523103322059.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODcjutuTEMP20180523103322059.png?Expires=1842402802&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jf3AtQ1YD6JfHJ/H7VybIEffMhM%3D" />为偶函数,故:<img id="ODoycsyTEMP20180523103322521.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODoycsyTEMP20180523103322521.png?Expires=1842402803&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=MhEsOhjsqCpCZ6KklK4S6nd5yno%3D" />.
A:对
B:错

<img id="ODctwfiTEMP20180523103714843.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODctwfiTEMP20180523103714843.png?Expires=1842403035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WVUctB9HLPbjNtVmQa4FPjmrP2k%3D" />为曲面<img id="ODlqitdTEMP20180523103715498.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODlqitdTEMP20180523103715498.png?Expires=1842403035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=p5ikiHNhghBJQYb8OlIB2pS2Enc%3D" />则<img id="ODxcprpTEMP20180523103716026.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODxcprpTEMP20180523103716026.png?Expires=1842403036&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=oqWZ9WT1yykbcphwzk73%2BeW20TU%3D" />(<img id="ODiupsgTEMP20180523103715997.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODiupsgTEMP20180523103715997.png?Expires=1842403036&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jOAOVug6aXV9yVr/wxtJ0pVXLPA%3D" />取外侧)
A:对
B:错

<img id="ODnznmlTEMP20180523102002183.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODnznmlTEMP20180523102002183.png?Expires=1842402002&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=0TkMt5s7QjV3pgn4YZMYUEeqPxc%3D" />为曲面<img id="ODjhhubTEMP20180523102002536.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODjhhubTEMP20180523102002536.png?Expires=1842402002&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9jV2Qw0j9VSNS09tKPi1mbDI9R0%3D" />则<img id="ODtenlgTEMP20180523102002936.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODtenlgTEMP20180523102002936.png?Expires=1842402004&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=KHeUZvUbgG%2B/2Am148Ze/eIMUZw%3D" />(<img id="ODsnmchTEMP20180523102004317.png" src="http://ccm2cdn.open.com.cn/zyglpt/OD/TEMP/2018/0523/ODsnmchTEMP20180523102004317.png?Expires=1842402005&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QDO4j7kEJEsAcj7hWsG6gg/7tyA%3D" />取外侧)
A:对
B:错

<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/GOVK/2018/0523/PIszudgGOVK20180523171344373.png?Expires=3419226826&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=TjSyv/mrRsEsJ54SeQ560k%2BGn5Y%3D" title="image.png" alt="image.png"></p>
A:正确
B:错误

<p><img src="http://ccm2cdn.open.com.cn/zyglpt/PI/WNXX/2018/0523/PIaunmcWNXX20180523162118994.png?Expires=3419223680&amp;OSSAccessKeyId=gbI8DRLk7JJhLbEw&amp;Signature=PXMcJKpAnxo/xFb2DwZZytoJjMM%3D" title="image.png" alt="image.png"></p>
A:正确
B:错误