2022年4月福师《数学分析选讲》考前模拟题答案参考
1.[单选题] 设<img id="PIliqziitem20210721123332723.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIliqziitem20210721123332723.png?Expires=1942202012&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=qFe5gwL9ZYbA7ObpyQ5MDh3hBow%3D" />,则当<img id="PIikuqcitem20210721123330674.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIikuqcitem20210721123330674.png?Expires=1942202010&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BBPwdd9HDxCIhMBKWTU62KT%2Fux0%3D" />时,有( ).A.<br> <img id="PIapyrhitem20210721123333289.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIapyrhitem20210721123333289.png?Expires=1942202013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=0FjazL2BgV4wvacy01whO3cHwoI%3D" />与<img id="PIyvppqitem20210721123333427.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIyvppqitem20210721123333427.png?Expires=1942202013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=x%2BPtOQsXz9LG0CqByq%2Fb1md4CjI%3D" />是等价无穷小
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B.<br><img id="PIadkscitem20210721123333555.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIadkscitem20210721123333555.png?Expires=1942202013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zskugV3zLpMcSy3%2BSlvm0gS%2F5gk%3D" />与<img id="PIkrvfaitem20210721123333769.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIkrvfaitem20210721123333769.png?Expires=1942202013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=avnYUr2dawik7Rswg639ZucdUlE%3D" />同阶但非是等价无穷小
C.<br><img id="PIhncxbitem20210721123333450.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIhncxbitem20210721123333450.png?Expires=1942202013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=mZv7CNsP3z3qeaDLA4XHfUd8Sx8%3D" />是比<img id="PIajbphitem20210721123334079.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIajbphitem20210721123334079.png?Expires=1942202014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zKrxYoOP%2BCsAti86nvlV5432STA%3D" />高阶的无穷小
D.<br><img id="PImeswbitem20210721123334270.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImeswbitem20210721123334270.png?Expires=1942202013&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1ejaFHfJUYcgSMw7LuiDGnm60To%3D" />是比<img id="PIovumbitem20210721123332204.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIovumbitem20210721123332204.png?Expires=1942202014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=RMn0sgeCSJ9L6K2gbLzuZtK9rtQ%3D" />低阶的无穷小
答:——B——
2.[单选题] 设函数<img id="PIdfmeditem20210721123334600.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIdfmeditem20210721123334600.png?Expires=1942202014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=c3Y9r0tjFweIHirGGR38EUcA168%3D" />,则<img id="PIzrqgoitem20210721123334814.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIzrqgoitem20210721123334814.png?Expires=1942202014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=O%2B%2FZ1NLc8L4WKiszMrIgzmcKqRc%3D" />是<img id="PIylllvitem20210721123334953.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIylllvitem20210721123334953.png?Expires=1942202014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=RfRIRCPPLls4fIO6XflTu6lgNpM%3D" />的( )
A.可去间断点
B.第二类间断点
C.跳跃间断点
D.连续点
答:——C——
3.[单选题] <img id="PIuitlnitem20210721123334366.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIuitlnitem20210721123334366.png?Expires=1942202014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=qeMJoqCyWXh0%2F1RAoCnLXzA3FZc%3D" />等于( ).
A.<br> <img id="PIzpyjritem20210721123335327.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIzpyjritem20210721123335327.png?Expires=1942202014&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HD0n25%2F8i25Ul3fG9szg6Xpnn78%3D" />
B.<br><img id="PIfixibitem20210721123335487.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIfixibitem20210721123335487.png?Expires=1942202015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ADyV1e97sGiHxuysrykUMlTshbU%3D" />
C.<br><img id="PIzorhfitem20210721123335635.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIzorhfitem20210721123335635.png?Expires=1942202015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=impevp0J5H6cJFNLrSjKY3TxCSk%3D" />
D.<br><img id="PIevfdxitem20210721123335008.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIevfdxitem20210721123335008.png?Expires=1942202015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8DPZcK1xYKFM4XNRa4T1e3EGCPo%3D" />
答:——B——
4.[单选题] <img id="PIpmzexitem20210721123335875.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIpmzexitem20210721123335875.png?Expires=1942202015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VUpEBknLz8V%2BfkmnjHY5tvlqmrU%3D" />在点<img id="PIhrpyxitem20210721123336041.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIhrpyxitem20210721123336041.png?Expires=1942202016&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BP8%2BTWaz1aJw8UEgIq0y3QTAX5U%3D" />处偏导数连续是<img id="PIgbydcitem20210721123335449.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIgbydcitem20210721123335449.png?Expires=1942202016&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=sLaijIPHoucLWgSZ62VuIOi2tq4%3D" />在该点连续的( )条件.
A.充分非必要
B.必要非充分
C.充分必要
D.既不充分也不必要
答:————
5.[单选题] 如果级数<img id="PIttxwmitem20210721123336318.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIttxwmitem20210721123336318.png?Expires=1942202016&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rPtCcWfIyAafqw7dLSAhM2%2FAm8A%3D" />和<img id="PIalsljitem20210721123334213.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIalsljitem20210721123334213.png?Expires=1942202015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WjLViCMSzdF55D37IziZPdy3wcQ%3D" />均发散,则以下说法<span style="text-decoration: underline;">正确</span>的是( ).
A.<br> <img id="PIyesaiitem20210721123336659.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIyesaiitem20210721123336659.png?Expires=1942202015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=r0ooHvv%2BDMs2cE8IkgyHllifoWo%3D" />一定都收敛
B.<br> <img id="PIdlklwitem20210721123336822.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIdlklwitem20210721123336822.png?Expires=1942202016&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GBf0ueirf%2BptM6D3YxEbip9wVCs%3D" />一定都发散
C.<br> <img id="PIiwoqmitem20210721123336911.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIiwoqmitem20210721123336911.png?Expires=1942202017&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NGPuTHBdD8G9PZYfZ87Kcd4YVuw%3D" />可能收敛,但<img id="PIlqqctitem20210721123337178.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIlqqctitem20210721123337178.png?Expires=1942202017&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DaQrUw5ckgCk96M7EoDxNT3nD4A%3D" />一定发散
D.<br> <img id="PIxmfytitem20210721123337333.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIxmfytitem20210721123337333.png?Expires=1942202017&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JjtZmXNbQNi7KD4qtJEentT3EEk%3D" />都可能收敛
答:————
6.[单选题] 设<img id="PItkqieitem20210721123337544.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItkqieitem20210721123337544.png?Expires=1942202017&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ov55MSRaZ64HM2QmFmbGJZsiVJw%3D" />,则当<img id="PIvuhjgitem20210721123336983.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIvuhjgitem20210721123336983.png?Expires=1942202015&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8u1SEFK5RARFBz%2FeJJLqdNuyYEc%3D" />时,有( )
A.<img id="PIfzbnaitem20210721123335837.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIfzbnaitem20210721123335837.png?Expires=1942202018&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Bizh4r8WWERr2j2wAWWUZc8YBwg%3D" />与<img id="PIvuehnitem20210721123338234.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIvuehnitem20210721123338234.png?Expires=1942202018&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=b6JRHob2WVVmpszuULzYv2STeU4%3D" />是等价无穷小
B.<img id="PIxowrfitem20210721123337608.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIxowrfitem20210721123337608.png?Expires=1942202016&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xELm0y%2BormLYtuzUBdwwF0M1CgE%3D" />与<img id="PIltfibitem20210721123338451.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIltfibitem20210721123338451.png?Expires=1942202018&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=MQX5axiTVxjOI9eVU37KKyPjFaI%3D" />是同阶但非等价无穷小
C.<img id="PIbzyvvitem20210721123338681.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbzyvvitem20210721123338681.png?Expires=1942202018&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IOvWdVtfQcCsilLS830rSGzD5RQ%3D" />是比<img id="PInzsviitem20210721123338959.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PInzsviitem20210721123338959.png?Expires=1942202018&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=wCLlWZAvNQinmZrslma%2BhH0wI1A%3D" />高阶的无穷小
D.<img id="PIejzckitem20210721123338671.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIejzckitem20210721123338671.png?Expires=1942202018&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=sBq0BR6Rfm%2F2uvaFDQp0aI2LaFo%3D" />是比<img id="PInxbmritem20210721123338897.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PInxbmritem20210721123338897.png?Expires=1942202019&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zQxoPwnOOf81MK5xk9IuMoEaeP0%3D" />低阶的无穷小
答:————
7.[单选题] 设函数<img id="PIbacesitem20210721123339554.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbacesitem20210721123339554.png?Expires=1942202019&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QTdRkKHQJwfHFkJQPiNAfB01M3Y%3D" />在<img id="PIxsahlitem20210721123339653.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIxsahlitem20210721123339653.png?Expires=1942202019&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=q7sT61UxKi6l37TRmLgFL%2FiQ3YQ%3D" />处可导,且<img id="PIbiyimitem20210721123337612.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbiyimitem20210721123337612.png?Expires=1942202017&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4xq12H9GPUNqIyYAld9PEQx0nBU%3D" />,则<img id="PIssyoritem20210721123340008.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIssyoritem20210721123340008.png?Expires=1942202020&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2YhiFUuKXpAJnIb3cXNWZQ2McEE%3D" />( )
A.<img id="PIcasrditem20210721123339634.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIcasrditem20210721123339634.png?Expires=1942202020&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Km1QBxiq2zwXHqlylrZ%2FEU9C0nI%3D" />
B.<img id="PIpetklitem20210721123340295.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIpetklitem20210721123340295.png?Expires=1942202020&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=5wtETz4G%2BTJK4KKtpxGpbcoNJgw%3D" />
C.<img id="PInrezsitem20210721123340406.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PInrezsitem20210721123340406.png?Expires=1942202020&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Y3FNIStG%2BQDJvqBsvPBDP5bKybk%3D" />
D.<img id="PIevbrwitem20210721123340617.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIevbrwitem20210721123340617.png?Expires=1942202020&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HBHyK%2Bhyo1OAgTp14yqwV7arc7s%3D" />
答:————
8.[单选题] <img id="PIbusijitem20210721123340018.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbusijitem20210721123340018.png?Expires=1942202020&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=iv%2BJ7E9N%2BAQaslHrtBola8c6cmw%3D" />等于( )
A.<br> <img id="PImnssoitem20210721123340930.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImnssoitem20210721123340930.png?Expires=1942202021&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Q23bifuT90QDiACdLjxczWVYbJg%3D" />
B.<br> <img id="PIoisqoitem20210721123341081.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIoisqoitem20210721123341081.png?Expires=1942202021&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WgCp7fRaw2wdQyYJlCm%2F5Mgo0oY%3D" />
C.<br> <img id="PIiyrxgitem20210721123341212.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIiyrxgitem20210721123341212.png?Expires=1942202019&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=PWfCnxO87RXCcagy6wWv5pOzhGc%3D" />
D.<br> <img id="PImdqbcitem20210721123341345.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImdqbcitem20210721123341345.png?Expires=1942202021&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=36%2F1YYKbA8Q6%2FcYwgON6IcWsG8Y%3D" />.
答:————
9.[单选题] 设<img id="PIslggnitem20210721123341477.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIslggnitem20210721123341477.png?Expires=1942202021&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=46yGVKfTy%2F00RL6FNloxVsbqXQ8%3D" />在<img id="PIvganfitem20210721123341618.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIvganfitem20210721123341618.png?Expires=1942202021&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=qe4IPjnWjtcvLU7M3kXmXPOyFIc%3D" />上连续,则<img id="PIrqxeiitem20210721123341798.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIrqxeiitem20210721123341798.png?Expires=1942202021&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=OTnyc3ImkckVY%2Bh8tX%2FiLhEbGG8%3D" />等于( )
A.<img id="PInqargitem20210721123341889.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PInqargitem20210721123341889.png?Expires=1942202022&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VazH5ciz2ZDBOwqN7rvxM4lljDc%3D" />
B.<img id="PImpawmitem20210721123342216.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImpawmitem20210721123342216.png?Expires=1942202021&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=B16znPHHq3unEEJdstLWkNjn%2FR8%3D" />
C.<img id="PIufctkitem20210721123341589.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIufctkitem20210721123341589.png?Expires=1942202022&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Wr2%2BSvrdpR5iyl6VJ%2Few5ARVG18%3D" />
D.<img id="PIjnnhsitem20210721123342484.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjnnhsitem20210721123342484.png?Expires=1942202020&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=v%2FmDYpodnXt90y%2Bdppw5T%2Bowyb0%3D" />
答:————
10.[单选题] 下列结论正确的是( ).
A.<br>若<img id="PIokaenitem20210721123342658.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIokaenitem20210721123342658.png?Expires=1942202022&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TxREmdauQBWbWOkY26y4GnFM9cM%3D" />和<img id="PIptztvitem20210721123342809.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIptztvitem20210721123342809.png?Expires=1942202022&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JyWgPLV50v%2BBJDRvFs4bEz7SH3g%3D" />均发散,则<img id="PIgglqoitem20210721123342237.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIgglqoitem20210721123342237.png?Expires=1942202023&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=R3yHf9S%2FnueHUxsNvrCwuRgBzAI%3D" />一定发散;
B.<br> 若<img id="PIlicfnitem20210721123342371.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIlicfnitem20210721123342371.png?Expires=1942202023&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=nXYgzNPrKNrxHtqCDMG49Yslkyw%3D" />发散,<img id="PIypagqitem20210721123342753.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIypagqitem20210721123342753.png?Expires=1942202023&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ev8Ni0ZM%2Fm6HCgjcD6lWLHNw7E0%3D" />发散,则<img id="PIoztkgitem20210721123342644.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIoztkgitem20210721123342644.png?Expires=1942202023&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=p1cVuUeObZ0uvPWKp0uxrsrOLxs%3D" />一定发散;
C.<br> 若<img id="PItepdbitem20210721123343751.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItepdbitem20210721123343751.png?Expires=1942202023&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TnJfOrFD4nWGeztP9kJFz0r57R8%3D" />发散,<img id="PImvcriitem20210721123341755.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImvcriitem20210721123341755.png?Expires=1942202024&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7oqKUEDixnSAlvx8%2B2Z19VkYj3g%3D" />发散,则<img id="PIsltdyitem20210721123344119.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIsltdyitem20210721123344119.png?Expires=1942202024&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jbwka4Yc7FZKBzgpWXiUzSuv%2F9g%3D" />一定发散;
D.<br> 若<img id="PIapvqiitem20210721123344246.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIapvqiitem20210721123344246.png?Expires=1942202022&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JZFjrhBAlHi51c3TwytbeB4dSKE%3D" />收敛,<img id="PIjrqjkitem20210721123344411.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjrqjkitem20210721123344411.png?Expires=1942202024&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xf1i1AroeKSlb2xvRyxbginxP1o%3D" />发散,则<img id="PIrppspitem20210721123343802.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIrppspitem20210721123343802.png?Expires=1942202022&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FNgkq9guyXsXNyEr7BBGoZHeBtg%3D" />一定发散.
答:————
11.[单选题] <img id="PIratboitem20210721123343943.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIratboitem20210721123343943.png?Expires=1942202024&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=EQY%2BaalyIjh0tjFzckG5tga6rUg%3D" />等于( )
A.<br> <img id="PIvatwoitem20210721123344821.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIvatwoitem20210721123344821.png?Expires=1942202024&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=D4Vl2k16W939%2BmJAbF0moADl0WI%3D" />
B.<br> <img id="PIjnznbitem20210721123344908.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjnznbitem20210721123344908.png?Expires=1942202025&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YRl%2B53A41NxbMeJDezp0sdZnSSQ%3D" />
C.<br> <img id="PItxbyeitem20210721123345111.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItxbyeitem20210721123345111.png?Expires=1942202025&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7oZp2fNj2v%2FvBSR6hKLKl%2Bluat8%3D" />
D.<br> <img id="PIppvtsitem20210721123345224.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIppvtsitem20210721123345224.png?Expires=1942202025&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=D2Nj0qPsXr8xVHbhb5xMxI4vLLc%3D" />.
答:————
12.[单选题] 函数<img id="PIokiyuitem20210721123345423.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIokiyuitem20210721123345423.png?Expires=1942202024&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=vxo5AksGnOek1mHXFs3%2FcRBFnaA%3D" />单调增加且图形为凹的区间是( ).
A.<img id="PItxvtgitem20210721123345133.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItxvtgitem20210721123345133.png?Expires=1942202025&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BzAbr8hagnqyxP0XlqSqs18me6o%3D" />
B.<img id="PIooontitem20210721123345835.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIooontitem20210721123345835.png?Expires=1942202026&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kXwtJ6wGmAYN3LVP2CivZMwStOE%3D" />
C.<img id="PIzpkkaitem20210721123346256.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIzpkkaitem20210721123346256.png?Expires=1942202025&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QxaB6OBp7x1%2BgO9kDrushZbU9pM%3D" />
D.<img id="PIjikuuitem20210721123346670.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjikuuitem20210721123346670.png?Expires=1942202024&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=UyUp2leoASEakvcOho6454EVzUU%3D" />
答:————
13.[单选题] 设二元函数<img id="PIltxjmitem20210721123346733.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIltxjmitem20210721123346733.png?Expires=1942202026&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ef4WCw6By9WyoU3cE4vy6XK6fUk%3D" />存在偏导数,则<img id="PIpeaamitem20210721123346939.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIpeaamitem20210721123346939.png?Expires=1942202026&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=oCGOGQ%2Bt6TWEMeRTiPutqGAWmdY%3D" />(
A.0
B.<img id="PIwrefbitem20210721123346519.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIwrefbitem20210721123346519.png?Expires=1942202027&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=344RD4WYRlJIpfBxu%2FIdWMDINUQ%3D" />
C.<img id="PIjkjsbitem20210721123347156.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjkjsbitem20210721123347156.png?Expires=1942202026&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=CK1pgRi3sJOLFzZnGffnBPS4tyo%3D" />
D.<img id="PIutfykitem20210721123345074.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIutfykitem20210721123345074.png?Expires=1942202026&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=g%2B6OvVcgdw9cvpPP9vbKgXNbyaY%3D" />
答:————
14.[单选题] 若<img id="PIsfcqgitem20210721123347436.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIsfcqgitem20210721123347436.png?Expires=1942202026&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=hyXSrnGrU4OQ4G%2FxT3VdWh6KSx0%3D" />,则<img id="PIcbmoeitem20210721123345342.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIcbmoeitem20210721123345342.png?Expires=1942202027&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QOrhf047VrTZZ6P9t8ggRf3RXGI%3D" />=( )
A.<img id="PIzakyditem20210721123347709.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIzakyditem20210721123347709.png?Expires=1942202027&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zDPVxR3YilpAYPhCbcG0WsQv%2FSE%3D" />
B.<img id="PIdzfwuitem20210721123347825.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIdzfwuitem20210721123347825.png?Expires=1942202027&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DJ8qFeVd%2FnyxOKcFaIM6qj9lou0%3D" />
C.<img id="PIogzhmitem20210721123347456.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIogzhmitem20210721123347456.png?Expires=1942202028&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NJREgn%2BzZZWBnpWe6UmfrlLezVA%3D" />
D.<img id="PIerihtitem20210721123347578.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIerihtitem20210721123347578.png?Expires=1942202028&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=618quwyXxurPeN4uWwwgc9hT14w%3D" />
答:————
15.[单选题] 部分和数列<img id="PIofsqaitem20210721123347477.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIofsqaitem20210721123347477.png?Expires=1942202028&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=wHQ25kpfqqLxCiLuOon%2BDo%2FhW0E%3D" />有界是正项级数<img id="PIlpuaoitem20210721123346118.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIlpuaoitem20210721123346118.png?Expires=1942202027&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yUADFPddcCeFkiEtAUqToMaiwIs%3D" />收敛的( )条件,则( )
A.充分非必要
B.必要非充分
C.充分必要
D.非充分非必要
答:————
16.[单选题] 当<img id="PIxkbgbitem20210721123348483.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIxkbgbitem20210721123348483.png?Expires=1942202028&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=aN42kYyiG6YY5kTXAYoxc3kz%2FfY%3D" />时,<img id="PIrfqcvitem20210721123348119.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIrfqcvitem20210721123348119.png?Expires=1942202028&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=45qOYKT6w5R2hwdnmKsV%2FYJit1s%3D" />与<img id="PIuhviqitem20210721123348251.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIuhviqitem20210721123348251.png?Expires=1942202028&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ScnLDfpm8vPyfoJvLlr7bh5L6kQ%3D" />比较是( ).
A.等价无穷小
B.高阶无穷小
C.低阶无穷小
D.同阶无穷小
答:————
17.[单选题] 设<img id="PIwexrxitem20210721123348906.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIwexrxitem20210721123348906.png?Expires=1942202028&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=OpS2y2ttC0HDHUEODhFBW8I8Bvw%3D" />,则方程<img id="PIzkhxsitem20210721123349031.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIzkhxsitem20210721123349031.png?Expires=1942202029&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2FKk%2Fhcspyk0Ix6TJ%2Fsp4YZKs7Ok%3D" />( ).
A.在<img id="PIbcbqbitem20210721123346962.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbcbqbitem20210721123346962.png?Expires=1942202027&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=X1FPTHUDYdUhLZEq3%2BxI3oQjKIU%3D" />内没有实根
B.在<img id="PIhnjhuitem20210721123349293.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIhnjhuitem20210721123349293.png?Expires=1942202029&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gfkw5gyJZfPST02fwJ4VVFysmhA%3D" />内没有实根
C.在<img id="PIqximritem20210721123349500.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIqximritem20210721123349500.png?Expires=1942202029&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YOdI2RfNs0y4%2FtQMbPoDPm4Ec4s%3D" />内有两个不同的实根
D.在<img id="PIadtneitem20210721123349670.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIadtneitem20210721123349670.png?Expires=1942202029&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=91R%2FgBc58j7Iz0lt0ni5eyeURm8%3D" />内有两个不同的实根
答:————
18.[单选题] 设<img id="PIkvhvfitem20210721123349910.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIkvhvfitem20210721123349910.png?Expires=1942202029&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TV3q%2BbRiqQNFY%2B73e1%2BAGPFQeUE%3D" />,则<img id="PImqlgjitem20210721123350064.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImqlgjitem20210721123350064.png?Expires=1942202030&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HP7KBnBnPaY3r5mdSnbOy0yXM3M%3D" />在<img id="PIeyscsitem20210721123349477.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIeyscsitem20210721123349477.png?Expires=1942202030&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=n5RTMZEgxwIQJs4FzrxUZozSths%3D" />处的( ).
A.左右导数都存在
B.左导数存在,右导数不存在
C.左右导数都不存在
D.左导数不存在,右导数存在
答:————
19.[单选题] 设<img id="PIcqhtlitem20210721123350374.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIcqhtlitem20210721123350374.png?Expires=1942202030&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TxhZ%2BPzXBMJ4HvY9IdWV%2Bns4iJo%3D" />和<img id="PIqysvuitem20210721123350031.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIqysvuitem20210721123350031.png?Expires=1942202029&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=chPS0280Cr%2Fr%2F9ZesDKYaflBc4s%3D" />均为区间<img id="PIojqdgitem20210721123350157.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIojqdgitem20210721123350157.png?Expires=1942202030&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pUvS7FVwlbG9VFd4VgCT6R%2FqtEU%3D" />内的可导函数,则在<img id="PIijadyitem20210721123348659.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIijadyitem20210721123348659.png?Expires=1942202030&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NMleFr6sP3z17sMcGGdYAkyfqNE%3D" />内,下列结论正确的是
A.若<img id="PIbmdmfitem20210721123351021.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbmdmfitem20210721123351021.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1KiIUjfo0mAMPH7wlMHX0Bo%2Fd6E%3D" />, 则<img id="PIdccpmitem20210721123351086.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIdccpmitem20210721123351086.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=w71d60DeYcRGeIsO1lQBqPvDTNo%3D" />
B.若<img id="PIviyhritem20210721123351291.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIviyhritem20210721123351291.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BmFZmPH0J6Y%2FP4erSouvNOOZaPw%3D" />,则<img id="PIktcomitem20210721123350934.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIktcomitem20210721123350934.png?Expires=1942202030&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WHnHrltUfNfVteLKapiTtT6dnp4%3D" />
C.若<img id="PIozgamitem20210721123351527.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIozgamitem20210721123351527.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Vk4O%2FCP3tm784SB%2FSxgSZ45XCNE%3D" />,则 <img id="PItymjfitem20210721123350922.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItymjfitem20210721123350922.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ibYZvSsWBdsAuYdpSS8U%2BP3gkIU%3D" />
D.若<img id="PIkciohitem20210721123351795.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIkciohitem20210721123351795.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xfQIP5IKe9VgywR53H8N3JKdIeQ%3D" />,则<img id="PIrqvafitem20210721123351250.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIrqvafitem20210721123351250.png?Expires=1942202032&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DsHSLonbmjQyhvyOswV7czBK3jA%3D" />
答:————
20.[单选题] <img id="PIamwfnitem20210721123352172.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIamwfnitem20210721123352172.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pk2L49EW52t19%2FKsZMgOkY4or4U%3D" />在<img id="PIxbrkfitem20210721123352271.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIxbrkfitem20210721123352271.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lJ9zCQh29COYCdDkurylArimOKw%3D" />有界是<img id="PIuuoabitem20210721123351937.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIuuoabitem20210721123351937.png?Expires=1942202032&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=boOaZzv22zk%2F7lMhJpuiPbSEDEU%3D" />在<img id="PIaolfmitem20210721123352617.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIaolfmitem20210721123352617.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jCl5miLdb%2Bc4aptxPn18zkYwrc4%3D" />可积的( ).
A.充分非必要条件
B.必要非充分条件
C.充分且必要条件
D.既非充分又非必要条件
答:————
21.[单选题] 设<img id="PImcnvkitem20210721123352806.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImcnvkitem20210721123352806.png?Expires=1942202032&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1uOowAbIwxFYFRSCtnCjUGFniJ8%3D" />为可导函数,且满足<img id="PIqvhwuitem20210721123352967.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIqvhwuitem20210721123352967.png?Expires=1942202033&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=M0aDUhe%2FymE%2Fxhc6e4opDKXnHIk%3D" />, 那么曲线<img id="PIyvqgsitem20210721123352353.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIyvqgsitem20210721123352353.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=eFhDbjGKSPRgUN822dGPyZ6JIno%3D" />在点<img id="PIrllnritem20210721123353375.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIrllnritem20210721123353375.png?Expires=1942202033&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YfC2X%2BbQyTWrrnTcr7yevtg2NG0%3D" /> 处的切线斜率为 ( )
A.<img id="PIayoaiitem20210721123353438.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIayoaiitem20210721123353438.png?Expires=1942202033&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WpXsdh74AMBeFtnOGdjdHCJpPR0%3D" />
B.<img id="PIjrkchitem20210721123353622.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjrkchitem20210721123353622.png?Expires=1942202033&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yIzC%2FsazhJNrd2xUA%2BHJmIGDyME%3D" />
C.<img id="PIjqwbcitem20210721123353766.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjqwbcitem20210721123353766.png?Expires=1942202031&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8RlGbt9ZQOfrLMWaj5eUzlpnBIc%3D" />
D.<img id="PIsyplbitem20210721123353954.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIsyplbitem20210721123353954.png?Expires=1942202034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=znPf5WTZjsCi1YrRzPXl183MwzU%3D" />
答:————
22.[判断题] 若<img id="PIupkofitem20210721123354156.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIupkofitem20210721123354156.png?Expires=1942202034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lYOcUV7XSuSSUsMaMwypoHtfwZ8%3D" />不是无穷大量,则<img id="PIlfgisitem20210721123353812.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIlfgisitem20210721123353812.png?Expires=1942202033&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yUO7py9H6GjFmyAA71Veug3s2vg%3D" />必存在收敛子列. ( )
A.对
B.错
答:————
23.[判断题] <img id="PIphrititem20210721123353738.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIphrititem20210721123353738.png?Expires=1942202034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9JQ8mR0AYdvp4tA310RJa7%2BwO%2Bo%3D" />在<img id="PIsytzbitem20210721123354678.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIsytzbitem20210721123354678.png?Expires=1942202034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=AcuT2Xzg4Fj0tH4uiHmhs7iZYZ0%3D" />上连续是<img id="PIzbmojitem20210721123354821.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIzbmojitem20210721123354821.png?Expires=1942202034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LL5gbU7JCA9EaybccBEK7CZxGw8%3D" />存在的充要条件 . ( )
A.对
B.错
答:————
24.[判断题] 若<img id="PIvmnthitem20210721123355030.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIvmnthitem20210721123355030.png?Expires=1942202035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=e1zT1k8w1E6wQgqT%2Be82pdCYvzs%3D" />是初等函数,其定义域为<img id="PItfzbyitem20210721123355167.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItfzbyitem20210721123355167.png?Expires=1942202035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=OLHNrL3oM0sG5b2e5vZiXzJBZi8%3D" />,<img id="PIjmoqfitem20210721123355539.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjmoqfitem20210721123355539.png?Expires=1942202034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7NMXUgKwP%2FJFK9idadiiy7XH9h4%3D" />,则<img id="PIvamqhitem20210721123355705.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIvamqhitem20210721123355705.png?Expires=1942202035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ZY4b85mc0Q%2Ff5SaHa1d14DRxwV0%3D" /> .( )
A.对
B.错
答:————
25.[判断题] 若<img id="PIgiyrqitem20210721123355886.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIgiyrqitem20210721123355886.png?Expires=1942202035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QvcOANI3k%2BvHPxuKRvXWG3PJXoc%3D" />,级数<img id="PIvfpslitem20210721123355952.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIvfpslitem20210721123355952.png?Expires=1942202035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=SgzLL7K1zFeO6uKanThQLKwRaMY%3D" />收敛,则<img id="PIhiqopitem20210721123355592.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIhiqopitem20210721123355592.png?Expires=1942202036&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8bWfnPUPc%2BUuxKE0Ao3cKkwyZdg%3D" />不一定收敛.( )
A.对
B.错
答:————
26.[判断题] 已知函数<img id="PIyfgjuitem20210721123356239.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIyfgjuitem20210721123356239.png?Expires=1942202036&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2iPLfrM0eiIYdwxkdSfCH88WOTo%3D" />在点<img id="PIertjfitem20210721123356342.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIertjfitem20210721123356342.png?Expires=1942202035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=j4VcUPEU%2B%2BfXhszXx5ADpRMrD8g%3D" />的某个邻域内连续,且<img id="PIswfbwitem20210721123356016.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIswfbwitem20210721123356016.png?Expires=1942202034&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=PGL8pZBi%2F%2FN5sbRXVj%2F3t8%2BGIoE%3D" />,则点<img id="PIbyaiiitem20210721123356641.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbyaiiitem20210721123356641.png?Expires=1942202036&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=UHFp4QJV6gFgaFXyDyJRO0YZFEY%3D" />是<img id="PIsmyyzitem20210721123356830.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIsmyyzitem20210721123356830.png?Expires=1942202036&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VCir93eDyWXYazT%2FCXmeEXIfz3c%3D" />的极小值点. ( )
A.对
B.错
答:————
27.[判断题] 若<img id="PItrbgiitem20210721123356926.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItrbgiitem20210721123356926.png?Expires=1942202037&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Wm0xxhy1XoLmWNb%2BkXsunoipfMg%3D" />不是无穷大量,则<img id="PIyduhfitem20210721123357122.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIyduhfitem20210721123357122.png?Expires=1942202037&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2CUPc7s0p1zEmZvoa%2BiL1SHoNNQ%3D" />任一子列均不是无穷大量. ( )
A.对
B.错
答:————
28.[判断题] 若函数<img id="PIgjmflitem20210721123356735.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIgjmflitem20210721123356735.png?Expires=1942202037&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WX1VNiH31XUTDKDnPEzz4o16tpI%3D" />在<img id="PIektmmitem20210721123356622.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIektmmitem20210721123356622.png?Expires=1942202035&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=0o9yYqAxL3qDJw2FDIe7f35M9PA%3D" />上可积,则<img id="PIxoluxitem20210721123357540.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIxoluxitem20210721123357540.png?Expires=1942202037&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=XY5fj10SC7Z%2Bki4YC6BqvKgFyhs%3D" />在<img id="PIlrdlditem20210721123356955.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIlrdlditem20210721123356955.png?Expires=1942202037&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Z2JuOH9H7iG6ExUzeTQsk7XmwgY%3D" />上也可积. ( )
A.对
B.错
答:————
29.[判断题] 当<img id="PIexumuitem20210721123357869.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIexumuitem20210721123357869.png?Expires=1942202038&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BQMxge5Ffef6ClKmRyBtTWgIQlY%3D" />时,<img id="PIaflfhitem20210721123357578.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIaflfhitem20210721123357578.png?Expires=1942202038&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TaYdm0A4B08ntLtTYFzsk1ML1Ws%3D" />不以A为极限,则存在<br><img id="PIlnffoitem20210721123358301.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIlnffoitem20210721123358301.png?Expires=1942202038&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8fcFX06n1EX%2B%2FD5JLRlqPPCu5Qk%3D" />,使<img id="PIxkhfsitem20210721123358425.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIxkhfsitem20210721123358425.png?Expires=1942202037&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yk0H7FS3%2Fniuy2FXDdwAr4lVU8U%3D" />不以A为极限.( )
A.对
B.错
答:————
30.[判断题] 若<img id="PIzilfaitem20210721123356361.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIzilfaitem20210721123356361.png?Expires=1942202037&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TNEteaP5mvj%2BcAtuhphDdWoQPJU%3D" />,则级数<img id="PIjtgcritem20210721123356473.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjtgcritem20210721123356473.png?Expires=1942202038&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kRrxZUjJUzxj3ujiy%2FHd7qN%2Buew%3D" />收敛但和不一定是0 . ( )
A.对
B.错
答:————
31.[判断题] 对<img id="PIuonwritem20210721123358088.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIuonwritem20210721123358088.png?Expires=1942202038&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IsDRkVn%2Fd5wVi8zCCkhK69jQO5Q%3D" />,偏导数连续,则全微分存在. ( )
A.对
B.错
答:————
32.[判断题] 若<img id="PIgagxditem20210721123359206.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIgagxditem20210721123359206.png?Expires=1942202039&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BxMCdkdNNS9F4ciD2EjFxvHCb48%3D" />不是无穷大量,则<img id="PIkjhpiitem20210721123359374.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIkjhpiitem20210721123359374.png?Expires=1942202038&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kwI2d9sY8A4r8GIwiKb3Xfkwj8k%3D" />必存在有界子列. ( )
A.对
B.错
答:————
33.[判断题] 若<img id="PIjztgmitem20210721123359528.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIjztgmitem20210721123359528.png?Expires=1942202039&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=oPa6hRvwFkg9dmOm3Qps1W1tSko%3D" />在点<img id="PImlhhyitem20210721123359641.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImlhhyitem20210721123359641.png?Expires=1942202039&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rxy3gbMePveXELMJuw9G9QojysI%3D" />连续,则<img id="PItfiigitem20210721123359314.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItfiigitem20210721123359314.png?Expires=1942202039&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=kBabUvhdK5b%2FXQ6HLQvKbIvB4ys%3D" />在<img id="PIuyvbsitem20210721123359929.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIuyvbsitem20210721123359929.png?Expires=1942202040&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=OJtilB60aE5W3nwDUoOzTDNv30E%3D" />既是右连续,又是左连续. ( )
A.对
B.错
答:————
34.[判断题] 函数<img id="PIiefwnitem20210721123400149.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIiefwnitem20210721123400149.png?Expires=1942202038&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=A6%2FyiTVSdjak4d%2BIS0gNX4cjm7I%3D" />展开成x的幂级数为<img id="PIicftlitem20210721123400338.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIicftlitem20210721123400338.png?Expires=1942202040&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ZW1ngGSyJepiZ2DyqwK0KXTrj8I%3D" />. ( )
A.对
B.错
答:————
35.[判断题] 二元函数<img id="PItfxrkitem20210721123400626.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PItfxrkitem20210721123400626.png?Expires=1942202040&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LMF0c9SqSmEqMa8be%2Fe0vVbnLyE%3D" />,在点<img id="PIfbccaitem20210721123400862.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIfbccaitem20210721123400862.png?Expires=1942202040&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=M0lIKCSfhISJKnQPeAOvxNjJhEQ%3D" />处连续,偏导数存在.
A.对
B.错
答:————
36.[填空题] 若<img id="PIxebgeitem20210721123358796.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIxebgeitem20210721123358796.png?Expires=1942202041&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=6rqh0YKuD09BeI2hu5IiepRqx9c%3D" />,则<img id="PIlnituitem20210721123401206.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIlnituitem20210721123401206.png?Expires=1942202041&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TSDoPOgOpfoYppTm7ziLc48%2F3v8%3D" />的值为<span style="text-decoration: underline;">##</span>
答:————
37.[填空题] 设<img id="PIovchditem20210721123400842.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIovchditem20210721123400842.png?Expires=1942202041&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jA8lmOWXI4dyUT7vnoJb%2FIaZkrI%3D" />收敛,则<img id="PIoowvyitem20210721123401514.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIoowvyitem20210721123401514.png?Expires=1942202041&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=K%2Bm3T%2BFcHrDs0gyIt9WarFdQX44%3D" />=<span style="text-decoration: underline;">##</span>
答:————
38.[填空题] 级数<img id="PIaftpkitem20210721123401006.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIaftpkitem20210721123401006.png?Expires=1942202041&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=z57TMFRlsF3acY4X1vIlK7ALKdU%3D" />的收敛区间是<span style="text-decoration: underline;">##</span>
答:————
39.[填空题] 设<img id="PIbqwzkitem20210721123401937.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbqwzkitem20210721123401937.png?Expires=1942202042&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zzqteR8%2Fkg%2FZocgPSZY0VRMWDYY%3D" />收敛,则<img id="PIevkihitem20210721123401375.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIevkihitem20210721123401375.png?Expires=1942202042&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=WbFWusAa8V9ep1ab4NYWB%2BfHssc%3D" />=<span style="text-decoration: underline;"> </span><span style="text-decoration: underline;">##</span>
答:————
40.[填空题] <img id="PIwxdecitem20210721123402313.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIwxdecitem20210721123402313.png?Expires=1942202042&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=5U3KOzncIJqjH5P6QWBWI9SngZI%3D" /><span style="text-decoration: underline;">##</span>.
答:————
41.[填空题] 级数<img id="PIawqrxitem20210721123402463.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIawqrxitem20210721123402463.png?Expires=1942202042&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FD87H6YD%2FSOyauz4YbbNdKjVHgc%3D" />的收敛区间是##
答:————
42.[填空题] 广义积分<img id="PIceztiitem20210721123402617.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIceztiitem20210721123402617.png?Expires=1942202042&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NtIZbaH2i5LqLjZI2i%2FbBzcdVY0%3D" />,则<img id="PIepyaiitem20210721123400611.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIepyaiitem20210721123400611.png?Expires=1942202042&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=OdxNtqARb7G8vy3Ta70CAbWhgi0%3D" /><span style="text-decoration: underline;">##</span>
答:————
43.[填空题] <img id="PIamiqbitem20210721123403012.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIamiqbitem20210721123403012.png?Expires=1942202042&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8lFHmXFSPZtGtJvTYRm2W9UqCaA%3D" /><span style="text-decoration: underline;">##</span>
答:————
44.[填空题] 设<img id="PIbphtjitem20210721123402389.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbphtjitem20210721123402389.png?Expires=1942202043&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=tIuDnSiOODj9q5NcZtxRGR0MnQk%3D" />,则<img id="PIrspgoitem20210721123403309.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIrspgoitem20210721123403309.png?Expires=1942202043&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=mnBDLCUpfUqhvbmMCjUw7qsMzuk%3D" /><span style="text-decoration: underline;">##</span>.
答:————
45.[问答题] <img id="PIicpcqitem20210721123403470.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIicpcqitem20210721123403470.png?Expires=1942202043&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=mug0uc63vRGI%2BJ89FNkBhEeMe5U%3D" />.
答:————
46.[问答题] 求<img id="PIsnbojitem20210721123403123.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIsnbojitem20210721123403123.png?Expires=1942202041&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TA%2BTTKimIgGq%2BncDSbfDVXNC%2BRo%3D" /> 的导数.
答:————
47.[问答题] 求积分<img id="PImvstaitem20210721123404953.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PImvstaitem20210721123404953.png?Expires=1942202044&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=S5xROiHE7HjsZCOoPXa2HElQWyg%3D" />.
答:————
48.[问答题] 将函数<img id="PIsclqyitem20210721123405801.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIsclqyitem20210721123405801.png?Expires=1942202045&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HQbAwhQbJLMsLcpGXuQ5SVK2d3s%3D" />展成<img id="PIbshqeitem20210721123405915.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIbshqeitem20210721123405915.png?Expires=1942202043&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=wlJOdsd82maFkU00jmNw3RV5OcM%3D" />的幂级数.
答:————
49.[问答题] <img id="PIgqdlritem20210721123406575.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0721/PIgqdlritem20210721123406575.png?Expires=1942202046&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NE34k72xNGth9qvDm4vO7%2FijlIQ%3D" />. (请说明理由)
答:————
50.[问答题] 叙述一元函数可导,可微,连续的关系.
答:————
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