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20春福师《初等数论》在线作业二题目及答案

福师《初等数论》在线作业二
1.[单选题] 整数p,q互素,则p+q一定与()互素
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    A.p-q
    B.p*q
    C.p^2+q^2
    D.p!+q!
    答:——B——
2.[单选题] 被3除余1,被5除余4,被11除余5的最小正整数一定处于()的区间
    A.
    B.
    C.
    D.
    答:——D——
3.[单选题] 同余方程x^4-x^3+x^2-x-1≡0(mod 5)的解的个数是()
    A.0
    B.1
    C.2
    D.3
    答:——A——
4.[单选题] <p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061009/1ff29ea4.JPG" /></p><p>。</p>
    A.A
    B.B
    C.C
    D.D
    答:————
5.[单选题] <p>题见下图</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061009/2d1dbe7a.JPG" /></p>
    A.A
    B.B
    C.C
    D.D
    答:————
6.[单选题] 。<img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/c587924a.GIF" />
    A.A
    B.B
    C.C
    D.D
    答:————
7.[单选题] <p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/9437c50c.GIF" /></p><p>。</p>
    A.A
    B.B
    C.C
    D.D
    答:————
8.[单选题] <p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/513ae43b.GIF" /></p><p>。</p>
    A.A
    B.B
    C.C
    D.D
    答:————
9.[单选题] 同余方程x^7+3x^6+3x^5+x+2&equiv;0(mod 5)的解的个数是()
    A.1
    B.2
    C.3
    D.4
    答:————    q16478 6164 0
10.[单选题] <p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/fbeabafe.GIF" /></p><p>。</p>
    A.A
    B.B
    C.C
    D.D
    答:————
11.[单选题] 10^1000的缩剩余系与完全剩余系中元素个数之比是()
    A.1/5
    B.1/2
    C.2/5
    D.4/5
    答:————
12.[单选题] 100!的末尾0的个数是()
    A.20
    B.21
    C.24
    D.25
    答:————
13.[单选题] 被3除余2,被5除余3,被7除余2的最小正整数一定处于()的区间
    A.
    B.
    C.
    D.
    答:————
14.[单选题] <p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20061009/90406e5d.JPG" /></p><p>。</p>
    A.A
    B.B
    C.C
    D.D
    答:————
15.[单选题] p为素数是2^p-1为素数的()
    A.充分条件
    B.必要条件
    C.充要条件
    D.既非充分也非必要条件
    答:————
16.[单选题] 恰有10个正约数的最小正整数是()
    A.24
    B.48
    C.96
    D.162
    答:————
17.[单选题] a,b大于1且互素,则不定方程ax-by=ab的正整数解的个数是()
    A.0
    B.1
    C.2
    D.无穷
    答:————
18.[单选题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/9d5deb67.GIF" /></p>
    A.A
    B.B
    C.C
    D.D
    答:————
19.[单选题] <p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/c7ee04e4.GIF" /></p><p>。</p>
    A.A
    B.B
    C.C
    D.D
    答:————
20.[单选题] k是正整数,则k^2+k+1()完全平方数
    A.一定是
    B.一定不是
    C.有可能是有可能不是
    D.无法判断
    答:————
21.[单选题] 不定方程a^2+b^2=c^2+d^2的互素正整数解组个数是()
    A.0
    B.1
    C.有限
    D.无穷
    答:————
22.[单选题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/6dbb91e8.GIF" /></p>
    A.A
    B.B
    C.C
    D.D
    答:————
23.[单选题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/4327eac5.GIF" /></p>
    A.A
    B.B
    C.C
    D.D
    答:————
24.[单选题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/cf3435ca.GIF" /></p>
    A.A
    B.B
    C.C
    D.D
    答:————
25.[单选题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/singleselect/fsteacher9/20060930/8e153f2e.GIF" /></p>
    A.A
    B.B
    C.C
    D.D
    答:————
26.[判断题] <span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片<img height="32" alt="" width="84" src="http://file.open.com.cn/ItemDB/11175/656a7450-d64f-4022-a996-7550516116cd/20081015195752461.JPG" /></span>
    A.错误
    B.正确
    答:————
27.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/015cc7d2.JPG" /></p>
    A.错误
    B.正确
    答:————
28.[判断题] <span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片<img height="33" alt="" width="174" src="http://file.open.com.cn/ItemDB/11175/57b065b2-c47c-405e-a782-5c164c0a21eb/20081015195457244.JPG" /></span>
    A.错误
    B.正确
    答:————
29.[判断题] <span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片<img height="20" alt="" width="172" src="http://file.open.com.cn/ItemDB/11175/91756717-532b-4a29-9dc5-b6bd45c3abd6/20081015195917617.JPG" /></span>
    A.错误
    B.正确
    答:————
30.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/a8875f3c.JPG" /></p>
    A.错误
    B.正确
    答:————
31.[判断题] <span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片 <img height="83" alt="" width="328" src="http://file.open.com.cn/ItemDB/11175/d23f8770-6ce6-4df5-a306-f7ccf18a2d0d/2008101520328319.JPG" /></span>
    A.错误
    B.正确
    答:————
32.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/54599fc4.JPG" /></p>
    A.错误
    B.正确
    答:————
33.[判断题] <span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片 <img height="28" alt="" width="315" src="http://file.open.com.cn/ItemDB/11175/db81bc51-af2e-40ca-96c0-5f40c6497486/2008101520234194.JPG" /></span>
    A.错误
    B.正确
    答:————
34.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061009/1bdd9132.JPG" /></p>
    A.错误
    B.正确
    答:————
35.[判断题] <span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片 <img height="28" alt="" width="224" src="http://file.open.com.cn/ItemDB/11175/11f93403-f21a-48a1-89c8-09c4e159b755/20081015195946383.JPG" /></span>
    A.错误
    B.正确
    答:————
36.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/bb835916.JPG" /></p>
    A.错误
    B.正确
    答:————
37.[判断题] <span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片 <img height="63" alt="" width="369" src="http://file.open.com.cn/ItemDB/11175/3a95e136-0737-4e5b-83d0-57d317c5628e/2008101520424443.JPG" /></span>
    A.错误
    B.正确
    答:————
38.[判断题] <p>题见下图</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/9795c46d.JPG" /></p>
    A.错误
    B.正确
    答:————
39.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061009/9404a975.JPG" /></p>
    A.错误
    B.正确
    答:————
40.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/ec36e082.JPG" /></p>
    A.错误
    B.正确
    答:————
41.[判断题] <p>题见下图</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/cbc71575.JPG" /></p>
    A.错误
    B.正确
    答:————
42.[判断题] <p>题见下图</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/14665508.JPG" /></p>
    A.错误
    B.正确
    答:————
43.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061009/8dd551cc.JPG" /></p>
    A.错误
    B.正确
    答:————
44.[判断题] <span style="FONT-SIZE: 10.5pt; FONT-FAMILY: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">题面见图片 <img height="36" alt="" width="478" src="http://file.open.com.cn/ItemDB/11175/211528a7-17c6-4cb0-a958-127953e338ba/2008101520356522.JPG" /></span>
    A.错误
    B.正确
    答:————
45.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061009/00a3f03a.JPG" /></p>
    A.错误
    B.正确
    答:————
46.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061009/28d12c62.JPG" /></p>
    A.错误
    B.正确
    答:————
47.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061009/9ccd6a41.JPG" /></p>
    A.错误
    B.正确
    答:————
48.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061009/72f9d34b.JPG" /></p>
    A.错误
    B.正确
    答:————
49.[判断题] <p>题见图片</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061009/12b886ae.JPG" /></p>
    A.错误
    B.正确
    答:————
50.[判断题] <p>题见下图</p><p><img alt="" src="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/32697bfd.JPG" /></p>
    A.错误
    B.正确
    答:————

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