2022年4月福师《初等数论》考前模拟题答案答案
1.[单选题] 设a,b,c是正整数,则( )A.<img id="PIojbcaitem20210719040210602.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIojbcaitem20210719040210602.png?Expires=1942041729&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=CWtFQchZaSHJzgbJMPgGPyGQLl4%3D" />
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B.<img id="PIldxopitem20210719040210696.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIldxopitem20210719040210696.png?Expires=1942041730&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=5lEOiiSvPmDAoBFa3q9Nl%2BuMvo4%3D" />
C.<img id="PIgvryqitem20210719040210962.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIgvryqitem20210719040210962.png?Expires=1942041731&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=aliH4VNjydpiyk9u02LyAXL5%2FAc%3D" />
D.<img id="PIcduwritem20210719040208263.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIcduwritem20210719040208263.png?Expires=1942041731&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=49rTfGpoTWmVjR6y%2BPgtYgSXR2I%3D" />
答:——A——
2.[单选题] 设k是正奇数,则( )
A.1 ? 2 ? ? ? 8?1k ? 2k ? ? ? 8k
B.1 ? 2 ? ? ? 9?1k ? 2k ? ? ? 9k
C.1 ? 2 ? ? ? 7?1k ? 2k ? ? ? 7k
D.1 ? 2 ? ? ? 5?1k ? 2k ? ? ? 5k
答:——B——
3.[单选题] 用辗转相除法求整数x,y,使得1387x ? 162y = (1387, 162),则( )
A.<img id="PIjcokmitem20210719040210619.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIjcokmitem20210719040210619.png?Expires=1942041730&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=U7kkBkGetoZSD7sFd3WIur%2BHWJM%3D" />
B.<img id="PIxznositem20210719040211418.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxznositem20210719040211418.png?Expires=1942041731&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=56rBYo3q2aRgXDl9jpemWlXRbN4%3D" />
C.<img id="PIjtgcvitem20210719040211644.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIjtgcvitem20210719040211644.png?Expires=1942041730&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lc7ultJUoJ7YhGHkW9ZXIUlTQG0%3D" />
D.<img id="PIwmilditem20210719040211766.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIwmilditem20210719040211766.png?Expires=1942041731&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=YtsC62%2F5AJFcs745IZm5vCWm2gY%3D" />
答:——C——
4.[单选题] <img id="PIbgraxitem20210719040211933.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIbgraxitem20210719040211933.png?Expires=1942041732&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=CB2fNGE5r7RGgSoO8Yf0N%2B1Odps%3D" />( )
A.774
B.516
C.1032
D.258
答:————
5.[单选题] 两整数<img id="PIhsscqitem20210719040212092.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIhsscqitem20210719040212092.png?Expires=1942041731&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Gu7xkvN8LK9fBKUcgx68fsACdTc%3D" />互质的充分与必要条件是( )
A.存在两个整数s,t满足条件<img id="PIsdttvitem20210719040212275.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIsdttvitem20210719040212275.png?Expires=1942041732&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=6jXajACaOrtO2afQqZNwTlwpUCk%3D" />
B.对任意两个整数s,t满足条件<img id="PInwzbfitem20210719040212412.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PInwzbfitem20210719040212412.png?Expires=1942041732&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=zVl%2FEfMdHrDcv%2FN3m0h%2BGbaR2vs%3D" />
C.存在两个正整数s,t满足条件<img id="PIfwraiitem20210719040209799.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIfwraiitem20210719040209799.png?Expires=1942041733&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=a%2FdNmaSrtHWB8D3wn7YUwiU9ry8%3D" />
D.对任意两个正整数s,t满足条件<img id="PIqahsmitem20210719040213068.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIqahsmitem20210719040213068.png?Expires=1942041730&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=e0EB1yZgvcDrjHzrHqObUuMI03c%3D" />
答:————
6.[单选题] 设<img id="PIbvamqitem20210719040213235.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIbvamqitem20210719040213235.png?Expires=1942041730&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=7bib4BPXCndRwFFa7Z3pcsSgLk8%3D" />,且<img id="PIricucitem20210719040213389.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIricucitem20210719040213389.png?Expires=1942041733&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JgPHA4Ty4JRdc54g6ND3lsfAizc%3D" />是奇数,则( )
A.<img id="PImfuhoitem20210719040213547.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PImfuhoitem20210719040213547.png?Expires=1942041733&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=AOhRj9iSDrZHnuSgnv27Na1MH94%3D" />
B.<img id="PItuwufitem20210719040213579.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PItuwufitem20210719040213579.png?Expires=1942041733&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LY6wPaxbVpLFeFHKttYrXtkg%2B%2Fw%3D" />.
C.<img id="PIpslwxitem20210719040213855.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIpslwxitem20210719040213855.png?Expires=1942041733&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=omVkus0e8jB0%2BujM%2BWK2xbC%2F5w0%3D" />
D.<img id="PIbugszitem20210719040214018.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIbugszitem20210719040214018.png?Expires=1942041734&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4mWdv6m%2FDSL8aLyDmvMcx0BIaRU%3D" />
答:————
7.[单选题] 若<img id="PIwoodpitem20210719040214192.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIwoodpitem20210719040214192.png?Expires=1942041734&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HT3LmnledhnmhtiEzVVCjCrpFB8%3D" />是素数,且<img id="PImizunitem20210719040214338.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PImizunitem20210719040214338.png?Expires=1942041734&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=f4VVossRZklvyEa0n5dWgAlPtnw%3D" />不能整除<img id="PIeammgitem20210719040214474.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIeammgitem20210719040214474.png?Expires=1942041734&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GzFrKudRTGQpV9kcDyQZhgbXR7k%3D" />,<img id="PIziccjitem20210719040214590.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIziccjitem20210719040214590.png?Expires=1942041731&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=abAxCUiSjO1w753nbQS8dr%2Bqtwg%3D" />,则( )
A.<img id="PIxtsfwitem20210719040214932.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxtsfwitem20210719040214932.png?Expires=1942041735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=hcXS8MXNrl2YGAK8dJfotLA91GI%3D" />
B.<img id="PIlclziitem20210719040215080.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIlclziitem20210719040215080.png?Expires=1942041735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=VaDbRSHKeSFqh3o1VFEvDH1k%2FgU%3D" />
C.<img id="PIvbyszitem20210719040214605.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIvbyszitem20210719040214605.png?Expires=1942041735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2B9zk5%2BvV5ILWjq4hhvR564wDvQ4%3D" />
D.<img id="PIxgndhitem20210719040215457.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxgndhitem20210719040215457.png?Expires=1942041735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=9e0bKhrRZmgkghFTVndOnRQLXvI%3D" />
答:————
8.[单选题] 若2n ? 1是素数,则n是( )
A.<img id="PIgrrhzitem20210719040212682.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIgrrhzitem20210719040212682.png?Expires=1942041735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2BnSNs74Kl6VDvWIKPHQYz6EKvLM%3D" />
B.<img id="PImukokitem20210719040214793.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PImukokitem20210719040214793.png?Expires=1942041734&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1lTjaNRhJcq9KZ9eR8QhkUhRKRE%3D" />
C.合数
D.素数
答:————
9.[单选题] 以下结论正确的是( )
A.<img id="PIvohpaitem20210719040215945.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIvohpaitem20210719040215945.png?Expires=1942041736&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=DdxrAMqiGbHHwzjf8o0zWErLKRE%3D" />
B.<img id="PIysddvitem20210719040216082.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIysddvitem20210719040216082.png?Expires=1942041736&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2FuMfYczR6U9DKQepXqOhMv8DF3c%3D" />
C.<img id="PIwfuavitem20210719040216268.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIwfuavitem20210719040216268.png?Expires=1942041735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=dsHGYGy4QCd4BE7tJnsg0ju5ieM%3D" />
D.<img id="PIjhjhmitem20210719040216446.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIjhjhmitem20210719040216446.png?Expires=1942041735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=aPFERhDlB%2FGUrN1I2xIANNbmbjk%3D" />
答:————
10.[单选题] 设<img id="PIiinjmitem20210719040213710.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIiinjmitem20210719040213710.png?Expires=1942041736&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Fs8CIyUPwqddkq3r6iQdlKjI2fY%3D" />都是实数,则( )
A.<img id="PIcpzpfitem20210719040216106.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIcpzpfitem20210719040216106.png?Expires=1942041736&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ksndQm9t%2BXNi6yf7wSZhzksNhIU%3D" />
B.<img id="PIibrgfitem20210719040215945.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIibrgfitem20210719040215945.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1UOA0R92W2erm4jIcMhT0XizpBY%3D" />
C.<img id="PIvszjmitem20210719040216971.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIvszjmitem20210719040216971.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=uH2%2FTCL0DF41F4vvFz752ysH7N0%3D" />
D.<img id="PIhowtditem20210719040217234.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIhowtditem20210719040217234.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=if%2F4Wi1AwxqlkOFFOrWCN4GhXAQ%3D" />
答:————
11.[单选题] 313159被7除的余数等于( )
A.4
B.5
C.6
D.7
答:————
12.[单选题] 设<img id="PIrossfitem20210719040217293.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIrossfitem20210719040217293.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gYUT87TCDTT%2BTyNNIL85pFF16Mw%3D" />是整系数多项式,且<img id="PIygwizitem20210719040217573.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIygwizitem20210719040217573.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=r1BSvMxFT8OQF9IkG3vowFBW1vQ%3D" />都不能被<img id="PIxsorcitem20210719040217729.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxsorcitem20210719040217729.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jWYANh7hDHrWsYnJsKle69k7b18%3D" />整除,则( )
A.方程<img id="PItbgxiitem20210719040217846.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PItbgxiitem20210719040217846.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=URogWPnaPezCBaY%2BUVYP6KMupr0%3D" />只有零解
B.方程<img id="PIkxboqitem20210719040217999.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIkxboqitem20210719040217999.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=CHYD%2BI%2FA%2FpuaskjR6PBPAtkUsaU%3D" />有正整数解
C.方程<img id="PIymzrvitem20210719040218145.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIymzrvitem20210719040218145.png?Expires=1942041738&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=fnAGS4B0ieTupPSlfYmo4IPyCWY%3D" />有负整数解
D.方程<img id="PIxwuthitem20210719040218314.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxwuthitem20210719040218314.png?Expires=1942041738&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4rPBNJQwIijIWvLHQkGiJ7YtbsY%3D" />没有整数解
答:————
13.[单选题] <img id="PIxuslhitem20210719040218461.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxuslhitem20210719040218461.png?Expires=1942041735&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rg%2BjF4dzhjtxCF%2BtM9L45Nyhq%2FE%3D" />的个位数字是( )
A.3
B.4
C.5
D.6
答:————
14.[单选题] 如果今天是星期一,问从今天起再过<img id="PIsntruitem20210719040218538.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIsntruitem20210719040218538.png?Expires=1942041738&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ONQSZUmJJ3x0x%2BV510NCowQsJT8%3D" />天是星期几?( )
A.星期四
B.星期五
C.星期三
D.星期二
答:————
15.[单选题] 甲班有学生7人,乙班有学生11人,现有100支铅笔分给这两个班,要使甲班的学生每人分到相同数量的铅笔x,乙班学生每人也分到相同数量的铅笔y,则( )
A.x=4,y=8
B.x=4,y=4
C.x=8,y=4
D.x=8,y=8
答:————
16.[单选题] 设正整数<img id="PIozxjvitem20210719040218794.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIozxjvitem20210719040218794.png?Expires=1942041738&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lRuLndimiP9CT2u8dvP9WIknG0M%3D" />的十进制表示为<img id="PIptlofitem20210719040218934.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIptlofitem20210719040218934.png?Expires=1942041739&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=r2wqRyKOWAoRRtiQu8J8XG2gle8%3D" />,其中<img id="PInnnsjitem20210719040216200.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PInnnsjitem20210719040216200.png?Expires=1942041739&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=dDBMtsBZQ%2BwOIUpErB2aYjAllmc%3D" />,且<br><img id="PIleprjitem20210719040219319.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIleprjitem20210719040219319.png?Expires=1942041739&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=hjHQedeVkM3PL%2BF%2B5Sy9%2BdUoNNM%3D" />,则( )
A.<img id="PIaunhvitem20210719040216561.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIaunhvitem20210719040216561.png?Expires=1942041739&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TSAfN75g%2BaMHxQ7oLgACk%2B80eUI%3D" />的充分必要条件是<img id="PIpvivqitem20210719040216681.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIpvivqitem20210719040216681.png?Expires=1942041736&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QAsApN%2BCJunjL8Au4F95ah46%2BJU%3D" />
B.<img id="PIvxdciitem20210719040216837.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIvxdciitem20210719040216837.png?Expires=1942041739&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=LW%2BeDY%2Bbsdq4d3mgmIWh07UlM8k%3D" />的充分必要条件是<img id="PIilmesitem20210719040219889.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIilmesitem20210719040219889.png?Expires=1942041739&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2FCwZfeNza0NyIkpRLv34H2zFVDE%3D" />
C.<img id="PInhcquitem20210719040220056.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PInhcquitem20210719040220056.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ZTIlCpoXOIblvY9wn0dI3EbTOp8%3D" />的充分必要条件是<img id="PIfgnzditem20210719040220230.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIfgnzditem20210719040220230.png?Expires=1942041739&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=M%2BkT6PyBomap4Fy3n5QMzzqk5%2Fo%3D" />
D.<img id="PIofmdoitem20210719040220372.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIofmdoitem20210719040220372.png?Expires=1942041740&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=xqEv96JHx6ySzXIPawxDrZo6JIs%3D" />的充分必要条件是<img id="PIfrdjuitem20210719040220526.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIfrdjuitem20210719040220526.png?Expires=1942041737&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Fkoxknfjab%2Bd6jXUxuWQVrb%2F0I8%3D" />
答:————
17.[单选题] 若<img id="PImndibitem20210719040217736.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PImndibitem20210719040217736.png?Expires=1942041740&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=XjX2WEnGTie5auL4%2FOcnvsnJPLY%3D" />是奇数,则( )
A.<img id="PIkghdfitem20210719040220688.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIkghdfitem20210719040220688.png?Expires=1942041739&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Z%2FjdBJd%2BxAp5BCR0IcPyEq089Nw%3D" />
B.<img id="PIieqzvitem20210719040220923.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIieqzvitem20210719040220923.png?Expires=1942041741&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jTe%2BIhIBHdl2kEqRsF5QwEahBV0%3D" />
C.<img id="PIrcamsitem20210719040220078.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIrcamsitem20210719040220078.png?Expires=1942041741&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=blPo7Gf%2BNJW7RwrbanL880vgGxU%3D" />
D.<img id="PIuyxytitem20210719040220182.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIuyxytitem20210719040220182.png?Expires=1942041741&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=1ZX7fMNcNNPNoooAJRU%2FM99ceMU%3D" />
答:————
18.[单选题] 设n,k是正整数,则( )
A.nk与nk + 3的个位数字相同
B.nk与nk + 2的个位数字相同
C.nk与nk + 4的个位数字相同
D.nk与nk +14的个位数字相同
答:————
19.[单选题] 以下结论正确的是( )
A.对于任何整数n,m,等式n2 ? (n ? 1)2 = m2 ? 2不可能成立
B.对于任何整数n,m,等式n2 ? (n ? 1)2 = m2 ? 2都成立
C.对于某些整数n,m,等式n2 ? (n ? 1)2 = m2 ? 2能够成立
D.对于某些正整数n,m,等式n2 ? (n ? 1)2 = m2 ? 2能够成立
答:————
20.[单选题] 以下结论正确的是( )
A.3不能整除<img id="PIvollcitem20210719040220692.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIvollcitem20210719040220692.png?Expires=1942041741&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=R2dmJlKAO5JktseTykWR87qIX%2BI%3D" />,n?Z
B.12?n4 ? 2n3 ? 11n2 ? 10n,n?Z
C.若3?a2 ? b2,则3不能整除a
D.若3?a2 ? b2,则3不能整除b
答:————
21.[单选题] 以下结论正确的是( )
A.设<img id="PItoruditem20210719040221499.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PItoruditem20210719040221499.png?Expires=1942041741&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=26V4yW5Hu5d1fYC3tU9wKPFUSnk%3D" />是正奇数,则对任意的正整数<img id="PIhmzzaitem20210719040221631.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIhmzzaitem20210719040221631.png?Expires=1942041741&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=faB8EQYLAJmx%2Bs4A6U%2FIy8ibqfo%3D" />,<img id="PIcjojgitem20210719040221859.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIcjojgitem20210719040221859.png?Expires=1942041740&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=UNCiD%2B3WhrbJBvrYk07DC4CAkUc%3D" />都能整除<img id="PIveajbitem20210719040219069.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIveajbitem20210719040219069.png?Expires=1942041742&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=TyJ6kcLNoYjl%2B5eig6G2fPlQKFI%3D" />
B.设<img id="PIxochditem20210719040222149.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxochditem20210719040222149.png?Expires=1942041742&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=j29DMeLDY9LBdaZRIArbCq1QNyc%3D" />是正奇数,则对某些正整数<img id="PIjikaoitem20210719040222163.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIjikaoitem20210719040222163.png?Expires=1942041742&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=L4x2%2FzQ%2Ber4OOh0R%2Bia7WTFWVMY%3D" />,<img id="PIskkjmitem20210719040222419.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIskkjmitem20210719040222419.png?Expires=1942041741&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=KNwk8yJ3Q7oVBThU2Ho24si0y%2FU%3D" />能整除<img id="PIxrdshitem20210719040222444.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxrdshitem20210719040222444.png?Expires=1942041742&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=4ZX7%2FMntEwvEAn7pQwQgeMJbAZI%3D" />
C.整数<img id="PIjjyriitem20210719040219742.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIjjyriitem20210719040219742.png?Expires=1942041742&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=IFT7fEF4xEGZhBoKGG63jsznznU%3D" />能被1001整除
D.若<img id="PIuqxwsitem20210719040222719.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIuqxwsitem20210719040222719.png?Expires=1942041742&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=HrZMtN8L5BPhsKIemmrm%2FfR271k%3D" />是二个连续的正奇数时,则<img id="PIjsoigitem20210719040222954.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIjsoigitem20210719040222954.png?Expires=1942041743&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=jgK3ij%2BqPx85iLiYSIb7wAYTFKQ%3D" />不能整除<img id="PIlumopitem20210719040222487.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIlumopitem20210719040222487.png?Expires=1942041743&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=pZw3MsbcMeSlu5XBs8cLM%2BVpaz4%3D" />
答:————
22.[单选题] 设<img id="PIpgznditem20210719040223288.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIpgznditem20210719040223288.png?Expires=1942041743&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=JC0pgFlZyUWt%2BYmaFKdNeeNU6ak%3D" />,则( )
A.<img id="PIbdximitem20210719040223413.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIbdximitem20210719040223413.png?Expires=1942041743&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=rM8MigplTJBPO%2F8ptzc9vp3qz%2BQ%3D" />
B.<img id="PIjlrxcitem20210719040222860.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIjlrxcitem20210719040222860.png?Expires=1942041742&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=lZhrzeM%2BoYdabT9COX6cd8kR8zI%3D" />
C.<img id="PIhcxcyitem20210719040223654.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIhcxcyitem20210719040223654.png?Expires=1942041743&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=Eg8gPVuTZQEQbFOq3%2Fxhb14VHmc%3D" />
D.<img id="PIxwwmlitem20210719040223815.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIxwwmlitem20210719040223815.png?Expires=1942041743&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=nyvpzTeIZaq8ZLPryFY1aZ9WhUM%3D" />
答:————
23.[单选题] 若<img id="PIikqdbitem20210719040223997.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIikqdbitem20210719040223997.png?Expires=1942041744&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=NR7f4tsu19hZgsaVVyRlti1Dwko%3D" />,则( )
A.<img id="PIwqnltitem20210719040224121.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIwqnltitem20210719040224121.png?Expires=1942041744&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=8Wu7IpgKtALPDqpT3%2BXTgKyrEnY%3D" />
B.<img id="PIckoqaitem20210719040224264.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIckoqaitem20210719040224264.png?Expires=1942041744&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=ZBQ7ErlzqHAWYNzeRHWHRI2dq1o%3D" />
C.<img id="PIwfxzsitem20210719040224399.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIwfxzsitem20210719040224399.png?Expires=1942041744&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=B3o14mAC0Sov1iFpv20F8oWXvT0%3D" />
D.<img id="PIowyvpitem20210719040221674.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIowyvpitem20210719040221674.png?Expires=1942041744&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=U11ckjP8MNvfZwD9E3zhvJgBfoI%3D" />
答:————
24.[单选题] 设x,y?Z,17?2x ? 3y,则( )
A.17?9x ? 5y
B.17?2x
C.17?3y
D.17?9x
答:————
25.[单选题] 设<img id="PIyvyybitem20210719040224730.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIyvyybitem20210719040224730.png?Expires=1942041744&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BhWzQTgPwdzMO7GTJRvZfjh0c2k%3D" />为正整数,则( ) 天津大学答案无忧答案网整理
A.<img id="PIemnqzitem20210719040224850.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIemnqzitem20210719040224850.png?Expires=1942041744&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=GqvE7Ibu2SMPrZXfc0EG3VXzWBU%3D" />
B.<img id="PIoqmwhitem20210719040225003.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIoqmwhitem20210719040225003.png?Expires=1942041745&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=QQEGuJg2xsyfVv%2Fx01HtGj024hY%3D" />
C.<img id="PIfdweyitem20210719040225211.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIfdweyitem20210719040225211.png?Expires=1942041745&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=iKelwkvb4I54kr6luWdborJCVFw%3D" />
D.<img id="PIunnryitem20210719040225472.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIunnryitem20210719040225472.png?Expires=1942041745&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=gS8i2Pb6wMZp7gcciIVl9kZfe6w%3D" />
答:————
26.[单选题] 以下结论正确的是( )
A.<img id="PIbgnfmitem20210719040222698.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIbgnfmitem20210719040222698.png?Expires=1942041745&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=SldAs0T1V0vf4yJZPBR7%2F3BlVZk%3D" />与<img id="PIwknyoitem20210719040225658.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIwknyoitem20210719040225658.png?Expires=1942041745&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FW%2F3c7IR3DahVml4AwwxgICuMlI%3D" />有相同的最大公约数
B.<img id="PIvedhiitem20210719040225880.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIvedhiitem20210719040225880.png?Expires=1942041745&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=3TU6r2eQ9LNJDm7R%2F6NLplrK8jg%3D" />与<img id="PIhbadyitem20210719040225995.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIhbadyitem20210719040225995.png?Expires=1942041746&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=soEiookpS%2Be19C7YjKGmd8eTFbY%3D" />的最大公约数不相等
C.<img id="PInyaspitem20210719040225471.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PInyaspitem20210719040225471.png?Expires=1942041745&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=74PMwcf1UJSt95ZTpvQDNJeJAwU%3D" />与<img id="PImbojlitem20210719040226286.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PImbojlitem20210719040226286.png?Expires=1942041746&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=AuooO0NcCkFYGrchzwqAX418UQg%3D" />的最小公倍数不相等
D.设<img id="PIeobhaitem20210719040225795.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIeobhaitem20210719040225795.png?Expires=1942041746&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yY6e4olFnPLTVHUC9tNfegA8tgI%3D" />是<img id="PIlamzqitem20210719040226571.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIlamzqitem20210719040226571.png?Expires=1942041746&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=MqTktC0Ugwi3pCdnTDnL%2Fh4PxWs%3D" />的任意一个公倍数,则<img id="PIpvyzpitem20210719040226614.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIpvyzpitem20210719040226614.png?Expires=1942041746&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=BpcrEpWzWhX5qz%2BWwRx9MF3kgVw%3D" />
答:————
27.[单选题] 设a,b,c?N,c无平方因子,a2?b2c,则( )
A.b?a
B.a?b
C.a?c
D.c?a
答:————
28.[单选题] 设a,b是正整数,则( )
A.(a ? b) =b
B.(a ? b) = a
C.(a ? b) = a
D.(a - b) = a
答:————
29.[单选题] 设a,b是正整数,且a < b,使得a ? b = 120,(a, b) = 24, = 144,则( )
A.<img id="PImqhgsitem20210719040226846.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PImqhgsitem20210719040226846.png?Expires=1942041746&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=AsayPJ%2FqJn7NWKYJZWiwdFNcTHA%3D" />
B.<img id="PIgoqftitem20210719040226986.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIgoqftitem20210719040226986.png?Expires=1942041744&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=FJQz7A5Lwn822L%2Buz%2FiMWRGhST4%3D" />
C.<img id="PImwzcaitem20210719040227171.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PImwzcaitem20210719040227171.png?Expires=1942041747&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=aORTteYHtG%2FB4cRyw%2BmZ6G6pDRo%3D" />
D.<img id="PIjvvstitem20210719040227347.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIjvvstitem20210719040227347.png?Expires=1942041746&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=%2B0q%2BLR%2F2l%2BRgNL5cM1zWv%2FdVzDE%3D" />
答:————
30.[单选题] 设<img id="PIkhnfditem20210719040227570.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIkhnfditem20210719040227570.png?Expires=1942041747&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=eD4WJR1%2FA2X6VRSa31EQ%2BkUo4Zc%3D" />为正整数,则( )
A.<img id="PIsnjsmitem20210719040227758.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIsnjsmitem20210719040227758.png?Expires=1942041747&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=yld7I7GhH39uEfn0qVs23iwp%2FS4%3D" />
B.<img id="PIyvpgaitem20210719040227262.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIyvpgaitem20210719040227262.png?Expires=1942041748&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=2kqhU8byAl6RvrnirrcNjwOra%2F0%3D" />
C.<img id="PIqgiyaitem20210719040228066.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIqgiyaitem20210719040228066.png?Expires=1942041748&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=t2S%2Fshao7972lubAxwMHjYYUR8U%3D" />
D.<img id="PIuydoritem20210719040227220.png" src="https://oescdn.open.com.cn/zyglpt/PI/item/2021/0719/PIuydoritem20210719040227220.png?Expires=1942041748&OSSAccessKeyId=gbI8DRLk7JJhLbEw&Signature=W7pOkAGj5tWYWo5KrpDwsC68niE%3D" />
答:————
31.[问答题] 简述模m的完全剩余系的特征,并给出模m的完全剩余系的一个充分必要条件,其中m为正整数
答:————
32.[问答题] 叙述不定方程的定义,并简述n元一次不定方程的一般解的求法.
答:————
33.[问答题] 叙述最大公因数和最小公倍数的定义,并简述二者的联系.
答:————
34.[问答题] 简述欧拉定理和Wilson定理的证明过程中蕴涵的数学思想方法.
答:————
西南大学答案无忧答案网发布
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