21秋西南大学0346 初等数论在线作业百分
0346 初等数论1.[单选题] 下面的（ ）是不定方程2x+3y=10的一个解。
A.x=1,y=2
B.x=1,y=1
C.x=2,y=1
D.x=2,y=2
2.[单选题] 使<img class="kfformula" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALIAAAAuCAYAAACMLkNQAAAIq0lEQVR4Xu2bB8w1VRGGnx8InRCalBBQegsQihAQREUITbr0FhRQIVQNKKAGpEhTUEBCCR1UlBJChNAhgASpQsDQQ2/SBImoeZI5yWbZvd/N/rv73e9yTvLnT767e86ZOe/MvDNzdhp5ZA2MgQamjYEMWYSsATKQMwjGQgMZyGNxjFmIDOSMgbHQQAbyWBxjFiIDOWNgLDSQgTwWx5iFyEDOGBgLDWQgj8UxZiEykDMGxkIDGchjcYxZiAzkbjAwAzAr8K9uph/pWZX7P/Gvt41mILev6jmAHwDXAU+0P/3Iz7gg8D3gt8Abfe02A7ldTc8EHAD8Dbi93amn1GzLA7sCxwEf9rHzDOR2tbwRsAbwy75Dawti6EV3AlYFHgV2Bp4HZgd+Eh725SHXEVe7ALMB5wL/G/K9xo/1DWQVtQ5wToTd/wILhdAfAGeFJIanQ4ClgGtDIe8DWrrh6jfAp42lbvbiwsDPgQuBuyum+AJwAnAM8GyzJSb9rQWAy4DngAOD488HXAq8B1wOvFOzS2UW+GnMA5wCnAg82bVkfQNZK72kJJTC/xS4Avh3/LZ5KHF9YENg71DGuqEcvcUzXSsHWBrYAVgMmBnYA/hKDZC3CW8m2Ps2srZUsXpw+5OA02JSnYln4291wzP0bMsG7rnNHXN16pUnA8j/BF4HTIpeA54GPilp6OvhFbTmu4DTIzyprB2BPYG32jq9IefRiNxLFZANoaeGkVZ56yGXmPTHdo+I81XgjtiNAN44oo0RtDykUuqmKkquCBwdye+bXUo3GUA2bA1z2CtHmPsucA8wS3DPdyPE9+31BgF52UhsTPSG5ZFdnmuTuY04UqO1CvzYeYyK6v6mikmlIgcBJ9dQjrkC4FLGe5tsath3RhnI34oKgF7iFeBLwMXAUeHB/xGefVhZp/e5QUD+JvDtAq+c3rUm4/3Ej9W15UNzEofRRqdRjppWaL4P3AY8UrNh8SVtdM7fdSnUqAJ5xkiazJgPBz4Orrot8CNg60gYi6Ududj5gFy1yXg41qhLTAYBeV8gJYNVXNDk1eTpo/Bu0hBllHNLs0yMlgPkpkYsvaAU5u/ApsDNwB8HVEI8xy8D2wMPAoLSJE1PWBUh9LDmIWtHhWIJ4K9RYSjy40F6lH6YqP9+gqqEjkjZdECdRdHJALKH6aHLcbVylWlWrFUnEHiwgvLq4Gwq1IqFlYwXgL+E4psAtuk7g4DsIVl1SQlScQ11LOUwtEqLrgTujCqAoVzPp8H+GpgzqjmCShnVh97eSskWwAMVmzfX0Njnjf+dzzW/A2wGaGTmImn4/C/ibxqUCbbUyH2tAlhCrKIRxaU1lP1iz1YzBg0jq8Z4cBhyU/0PfG8ygGwWbJ1VQDu+GGHH4vkoNxHqgGzoFcCCU4Msj/njEAXtMlEVEKhFgCV+6mHvFvMko07r2mAoz29414hMyATuq4XF9YJ6Sw3kvPi7zx8aJVBzD6OBIxnSCiV+XAWeZCQ6oj8NgUr3f0TIVVe6G2KawY/0DeSqPrx7sOC+JlBU7nQL1/IETYFsg8F3bdlayrOUpYe6obA/aZGNA+mGJavigad3ipWE9OqWkTdYxSmDKnnZW8JTG/2+Afw5DCuB27nq+HGVCo2mOqIjS3XjOnUru8ZmxamzSlPfQK4T1vBzzZBhrWV8Dj1dUyCnBRLvF5Cpa5Z+S6CTSlmHTt44JUvSi/I70i/BKP8u/+a8UrYbA+h6YecUgM4ll5Z/p1FVPx50VtKc1DCZSIGfKyAnkMi7mma3HuwFgF6qyWia7CVaIH+tohZpL+7PqsvbpaqAvwsuQefe7WSmkTy1nqzMMRP4rq8BVWo+mVdIfRaPcqbJnzREvp5GenYifpxklRcXDW6Qvj1bS3TlNZucUe07fXlk1zF73SAK5C+WdpSAbPHcFu8ojomSPa8uHj9g49bFrTxobOXn5JB7AduVSlkJrD+sMJJEOX5cMV+quet5t4rEOHloGxfFCkJd/bhKlEViHxpbVWJb9Y5Gst64JHtyY/vugsEw+HhJ4jqPNEqAHgRkD8su1qASUx19smkgfzZpLHstvbAlOkH7FLB/JJUPAWm+qiTQmrv3Iu6PcqWJddq/811UUKzJqJHCOyzWj23HC/oihy5TkCrDqjsrk1rvoXTqoPryyAqpx3kpQmhR6JTs2ZY2Y/eZURyDgOzBG8JNVoshO8mR+LFJnqAs1qrTXQapRdEQEsAtj8lH9bICTU9o/VzD+UN044rAtDJhOc7EziQwXeRJPNw6cZECqXfvv1hzFmwapdWMqhJccjhVxlN1Zsnb3xflvc7OtU8gmxnLq84EHguJXP9rcRiHFfr7TQSezIaImfyvgjZVNVQS11WustdN4PAOibXcNNI71tePjc6h5bVUokyltCUjbAtuv0wx4kkp1KfdzzQ0BOvHfrWSLjatBOhdrRhZHrwKkKpIP+zGlUfi0sMCWW+fDKSu+9fkrD/zTp9AdnGL8SrBiyZe+7Oj5OF4rdNGx6gNO1cCTO8o4OR61ov1VjYeLKW5fz2urVhDflVtddHgxv52dqkTJi82ybXsVrwGqS5cUw/u/WD15Vcnxc6hdMTWuFTCtb0n4bNWgKoutNs0KbafBauVkk2CS2uE1rjtJFYNnY7NGenJrUMclt1GDVeK1OkF+76BPITsU/aR3g5timhoIuNuVYwM5PbUaej+WTQ60hXI9mafejPJyaU33o3prKOX1JKB3C5AvA+yT9CMie4gtLvyaM0mf5dry+d7uXaQgdw+AOzcrQacMQW/22tDG2LKvMJhDtHplyHZI7dxZNVzeJB+nmUFwRtsn7ehEZt8eqej6ouSTvSRPXInas2T9q2BDOS+NZ7X60QDGcidqDVP2rcGMpD71nherxMNZCB3otY8ad8ayEDuW+N5vU40kIHciVrzpH1rIAO5b43n9TrRQAZyJ2rNk/atgf8DXwjqPotzsAcAAAAASUVORK5CYII=" data-latex="{5}^{n}\equiv 1(mod7)"/>成立的最小正整数n等于（ ）。
A.C.2
B.13
C.3
D.6
3.[单选题] 72关于模13与下面的（ ）同余。
A.-5
B.6
C.5
D.-6
4.[单选题] 若(a,b)=1，则(a+b,b)=（ ）。
A.a
B.|b|
C.1
D.b
5.[单选题] 若a，b均为偶数，则ab-a-b为（ ）。
A.偶数
B.负整数
C.正整数
D.奇数
6.[单选题] 下面的（）是模6的一个简化剩余系。
A.1,11
B.13,19
C.3,19
D.4,17
7.[单选题] 下面的---（ ）是模12的一个简化剩余系。
A.1，–1，2，–2
B.0，1，5，7
C.25，27，13，–1
D.1，5，7，11
8.[单选题] 下面的（ ）能被3整除，也能被9整除。
A.223
B.423
C.323
D.123
9.[单选题] 能同时被4，5，6整除的最小的正整数是（ ）。
A.E.30
B.60
C.90
D.120
10.[单选题] 同余式<img class="kfformula" src="data:image/png;base64,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" data-latex="4x\equiv 4(mod14)"/>有( )个解。
A.B.0
B.2
C.14
D.4
11.[单选题] -12与10的最大公因数是( )。
A.2
B.1
C.-1
D.-2
12.[单选题] 已知a除以8的余数是5,b除以8的余数是6,则a+b除以8的余数是（ ）。
A.11
B.6
C.5
D.3
13.[单选题] 使<img class="kfformula" src="data:image/png;base64,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" data-latex="{4}^{n}\equiv 1(mod5)"/>成立的最小正整数n等于（ ）。
A.A.2
B.4
C.3
D.1
14.[单选题] 712被13除的余数是( )。
A.0
B.1
C.12
D.7
15.[单选题] 下面的整数是合数的是（ ）。
A.31
B.63
C.43
D.23
16.[单选题] 在1到50这五十个正整数中质数共有( )个。
A.16
B.13
C.15
D.14
17.[单选题] 模7的绝对最小完全剩余系是( )。
A.-7，-6，-5，-4，-3，-2，-1
B.1，2，3，4，5，6，7
C.-3，-2，-1，0，1，2，3
D.0，1，2，3，4，5，6
18.[单选题] 下面的整数能被9整除的是（ ）。
A.2246
B.7246
C.6246
D.3246
19.[单选题] 能同时被2，3，4，5整除的最小的正整数是( )。
A.90
B.60
C.30
D.120
20.[单选题] 下面四个数中是合数的是（ ）。
A.27
B.7
C.37
D.17
21.[单选题] 3对模26的指数是（ ）。
A.2
B.3
C.6
D.1
22.[单选题] 整数35的正因数有（ ）个。
A.4
B.8
C.6
D.2
23.[单选题] 若m能被3整除，n也能被3整除，则m+n必能被( )。
A.9
B.3
C.2
D.0
24.[单选题] 下列说法错误的是( )。
A.两个整数的和是整数
B.两个整数的积是整数
C.两个整数的差是整数
D.两个整数的商是整数
25.[单选题] 下列数是质数的是（ ）。
A.D.52
B.53
C.50
D.51
26.[单选题] 下面的整数能满足同余式<img class="kfformula" src="data:image/png;base64,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" data-latex="2x\equiv 1(mod\, 7)"/>的是（ ）。
A.2
B.4
C.3
D.1
27.[判断题] 二次同余式<img class="kfformula" src="data:image/png;base64,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" data-latex="{x}^{2}\equiv a(modm)"/>有解时，一定是两个解。
A.正确
B.错误
28.[判断题] 若正整数m的个位数是5，则m必为合数。
A.正确
B.错误
29.[判断题] 设x,y是正实数，若x>y，则{x}>{y}。
A.正确
B.错误
30.[判断题] a是大于1的整数，则a的大于1的最小的因数一定是质数。
A.正确
B.错误
31.[判断题] 不定方程2x+4y+6z=5无整数解。
A.正确
B.错误
32.[判断题] 若m与n互质，则5m与7n也互质。
A.正确
B.错误
33.[判断题] 若同余式<img class="kfformula" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMEAAAArCAYAAADBnex4AAAJkUlEQVR4Xu2bd6y1RRHGfygWUGIl2CKKxt57sIAKJhorig2UiBXsjdil2AHB3hVQsQQISjGCoihGIbEhFtBEjb1R7BIs+X2ZIZvNe8o9Oe9+5/Ps/vORe++75Zl5ZmeeWbaij47AmiOw1Zqfvx+/I0AnQXeCtUegk2DtXaAD0EnQfWDtEegkWHsX6AB0EnQfWHsEOgnW3gU6AJ0E3QfWHoFOgrYusC3wT+A/bZfdIlbTF7cB/gH8t+WOOwnaoC3OjwS2Bo5rbeQ2R1zKKvcDbg18CLhsKTPOMUknwRwgLeFPdgHuAryjpXGXsO/WU+iPj49FP9kqWHQSbNzMuwGvAO4I/At4GPDNKdPcEHg1cCDw240vt1m/uAnwRuDOwC2BFwFHjLyjqwGvAz4CnDvyWpum7yRYDGVz+7cBOskTgT9MmOaKwAHA+cAJiy21El89GTga8Eb7SoMd3QN4UmBnjTDq6CRYDN4dgWOBs4GXAZdOmOamwOuBFwO/WWypzf7VlYE3AfcMwv+8wY68DbxxPgicM/Z6nQSLIXxv4HPAc4BjpkyxF5BEaKp4LHaswa+2D8L/DHg+8Pclzj1tqqcC148gMip2nQSLWfSZwGtn1APKfUaz44HTF1tmJb66K3AScGiDeqA88B2AVwLPAi4aE4lOgo2jm859sxn1wA2AdwEvB3608WVW5ousBx7UmMzeQO+PYDNqgbw5SGAx+TTgl6Gb/wq4ENghisdaH94O2DeUmNsBXwBOAR4e31wn5vpoJT9eA/gwsMeC7vRd4HFR1JZT6Nwfj59/Gbhu7O02wFuBX8QfG8kOAp4xoXAW+0eHLp41xpnAroCF4U+AB0RO7NmuBTwB+Fs0lW4LvKFYb+iYKjoWmGJt3XJ74L0DZ8pvtc3Tgd+FbTzLzrEfBYCyHtBepkcWrleJsysE7AP8PvZ7q7hBTKXsAdwH+D7wEOCL0TOZ1A9I8eHTY5OvNQkEQrnQYlJZ0fVfCBwOaOhnA38prGmBpBz5MeCHgI6lY38DOA3QCd8C3C30ZR1n7HGvWPsHsd+UR02RHgj4r9e3dcMLgvCXDGzKWkGHUYJUQdod+BbwWeBLoZGL18kRDSWbOBkwDAzeMn+cUJjblNOZlXOfBxhoHEZziWlQEc9ypG20x3lAKlsSrbaNdntu2MGzfQr4KvDnKKK1YTrx1WMtC9zPx7k8q2rTNHk5C3LxNeiMNlqSwE6g2u8741BZ7OgsZwU5VFLKIsjI96dwOkG4URRpGt/CSYCd83tBltHltHBy8+PHFPtyb1ks62iS1KL4vkHyoX35eyOm0V/1xdvR/PcTBQaZj0sOf599hkzJjNzOI0Y5tKlOvl/cAqWzZ5H79SDDv+OjtI3NvNLhJIb7q/sDElKyuO9bRM2gkxsAvEUc6cT+nbeR89Y233uGgxswvSkMFKONViQo82hzzFIuNK35DPCIiIJ5WKOdAGqYLIzSKQ6LIm1U1WAA9atGNDb10fl+XfxNOkwadhoJrgS8JAht9DTSXhw3S3lrJDamTWWfwdTIb8SxVmy8FX2a8fYBjEwddUYjtaRyLW9bA5MBprbNpHrgTkF6byNTRru7pjgqZjlMR5U4vVEMWGVxm9/M6jtIAschozGgYbPMHPdE4KiI+BmBBMgDPhR47BwFpI5latS6SEsbZD3w7YE0xChovm3b3/Rg1k2Qc5ri6bTvqdQXA5TqiLjU2Jhrmyt7C5YdXHNz08M9J6QaNw+H9UYxOuuYaRsd1lQpbTNPfyDtpzPXNYP1iDhod+fNgOW5VNZMiepval//vyKBEd2isY72GS08fEamSaSfxyjlt0ZLncQ1FxlDhXHeRBr1fcWkQ85nFDc6evZpaVpGxZrYmfd7i9bYOLfB4MHA14p9ZIGtlj/Uyc6UTYfPJt8k25jyeNvYDa9rtVwybyTrlPpvdHLrtkk2N4WbhY0k+OvY0myLdChTCEExjy7lroyCdl/LaDHktKUqMwu8RZx+nm902A/ETWTenyOdz3w4r34dTnk0I+7Q/BlJJYA3SFnYZ9TWkXSGOkKbxzu39VGOLNp1XrvUPtvOUYoQmV5Ns808/YG0n8Gmzts9+1MGbJ7zvnRGPZAptAX3Fl8YT9PVy3rAhoyKw6mVM6QRM4oJXhmFLQCNhqNqybEJUxzXr6VTZVhTPZ3S+sZhOqCy4pnK2qEkQ96E3hTzRtIknPm3QkK+XzIN0inF0dSqzqON2j5Rdpi6GeGn2aZMPc8Ilcm0LSVg50n7beQWM4CpionhBdF119G/U0WJvAm1dXnbzROsNvQ3LW6CzG3ViEslI9+HGL3MeS3ylAo1psWiIPnfKiYaPKXUspjyhaZS4JtnpBwbAmXKH0tEH855Dh/FOXQuDaVTuX91/Py5TqejTnplmpHUpxe1MjYpkmaakTg8KvBSd/eZgXPpNHUe7p5fFXvP/cyyjfWCdsjURTUoJey8xUz56qAw6RZLx/b1rQW9aaTkt65J3BJ+yS7WCgijSt8tSOChVCxUIEwVbJZ4eN/daNDrBYhGxbsD747fq4n7XNlvBE292waRKolOZxQTQBtntebtmmM0y9Lhvf4lpnq8aYf78t/yNalOYgEoWSZd59OUMZWXaw+kU35zcGCmumNUFVudSHsqK+uURnsLYH92f+A1UQeUadwk2+wfKZ/ns7aQrDeOGiuddFo9l0RNkaD+xlvb59IGP/eoDFsPA46NRv2k7B0tK6BdPk8rEqQhNKCat40iZTULqnxnf4UgQDqShFBu1GjXDKVBQ+j46txq3hLix0tHZfqEO4VhNKTO7/5saEnUetg8U/myCB36vbec/8eZDlt2YyWbTUGju2QopWCxkFymJQYTi9ySfDquTuja9l/sEouzeJf9hNzrkG1sZEmqtI3dZgOPMm4OJVWDgTZQFSv3aO3n2Qxg9atT9yZJ7e38NNK3WurO+kWSZwo3mplbkWC0A6z4xDrzkZHWeQP2MR8CpnVmAkrEEmXU0UkwKrybJlciVNe3wZcKz/irbtkrWL8o0drwG70h2kkwvrMoAJi+qOu3ULDGP9G4Kyh2+F7MuiefYIy6YifBqPBePrkvLlU5vA2aGLbNsZa+Sv1gcukLDE3YSdAE5k2LKPkpJ1rwDhXJ7XaymispjKgm2alvWj91EqymQ/RdNUSgk6Ah2H2p1USgk2A17dJ31RCBToKGYPelVhOBToLVtEvfVUMEOgkagt2XWk0EOglW0y59Vw0R6CRoCHZfajUR6CRYTbv0XTVE4H9R9EVKIcR6ZQAAAABJRU5ErkJggg==" data-latex="ax\equiv b(modm)"/>无解，则a与m的最大公因数不整除b。
A.正确
B.错误
34.[判断题] 设a,b,c为整数，若abc为偶数，则a,b,c三个都是偶数。
A.正确
B.错误
35.[判断题] 设a,b,m都是正整数，则(am，bm)=(a，b)m。
A.正确
B.错误
36.[判断题] 若（a,b）=1，（c,d）=1，则（a+c,b+d）=1。
A.正确
B.错误
37.[判断题] 二次同余式<img class="kfformula" src="data:image/png;base64,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" data-latex="{x}^{2}\equiv 0(modm)"/>总是有解的。
A.正确
B.错误
38.[判断题] 不论m，n是什么整数，4m+1与4n-1一定不相等。
A.正确
B.错误
39.[判断题] 如果x是正实数，那么是正整数。
A.正确
B.错误
40.[判断题] 若a,b都是c的倍数，则a-b也是c的倍数。
A.正确
B.错误
41.[判断题] 若a与b关于模m同余，则ab一定是m的倍数。
A.正确
B.错误
42.[判断题] 设a为整数，若2不整除a，则a为奇数。
A.正确
B.错误
43.[判断题] 在a+b+c+m+n=0中，只要有4项是整数，则剩下的一项也是整数。
A.正确
B.错误
44.[判断题] 若不定方程ax+by=c有整数解，则不定方程bx-ay=c也有整数解。
A.正确
B.错误
45.[判断题] 设a，b是正整数，d是a与b的最大公因数，则d一定小于a，也小于b。
A.正确
B.错误
46.[判断题] 一个偶数除以4的余数只能为0，或2。
A.正确
B.错误
47.[判断题] 如果15能整除mn，那么15必整除m,n之一。
A.正确
B.错误
48.[判断题] 任何两个偶数关于模2都是同余的。
A.正确
B.错误
49.[判断题] 设a是大于1的整数，p是a的小于a的最大的正因数，则p是质数。
A.正确
B.错误
50.[判断题] 若(a,b)=1，则同余式<img class="kfformula" src="data:image/png;base64,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" data-latex="ax\equiv b(modm)"/>必有解。
A.正确
B.错误
51.[判断题] 若a,b,c是一组勾股数，则8a,8b,8c也是一组勾股数。
A.正确
B.错误
52.[判断题] 若不定方程3x+6y=c有整数解，则不定方程3x+6y=2c也有整数解。
A.正确
B.错误
53.[主观填空题] 18与60的最小公倍数是 。
A.
54.[主观填空题] +[-9.3] = 。
A.
55.[主观填空题] 模7的绝对最小完全剩余系为 。
A.
56.[主观填空题] 156的标准分解式为 。
A.
57.[主观填空题] 26的欧拉函数值等于 。
A.
58.[主观填空题] 176的标准分解式为 。
A.
59.[问答题] 求不定方程3x - 4y = 1的一切整数解。
A.
60.[问答题] 设x，y均为整数，证明：若7|x +2y，则7|10x + 6y。
A.
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