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单选题 设G是n个结点、m条边和r个面的连通平面图,则m等于( )

A. n+r-2

B. n-r+2

C. n-r-2

D. n+r+2

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学科：离散数学

时间：2025-07-10 03:40:57

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题目1
单选题
在下述公式中是重言式为( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/a9bc57d991636f3cc7de2f9be964b061.gif">B. <img src="https://tihai-oss-cloud.itihey.com/img/a9bc57d991636f3cc7de2f9be964b061.gif">C. <img src="https://tihai-oss-cloud.itihey.com/img/a9bc57d991636f3cc7de2f9be964b061.gif">D. <img src="https://tihai-oss-cloud.itihey.com/img/a9bc57d991636f3cc7de2f9be964b061.gif">
题目2
单选题
在下述公式中是重言式为( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/7ef81ad7ad9bb1e224bdd09d229ec1f2.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bded632a4a5be3659a1d05272533707a.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/6ad622b95834fada4845af175a6665ba.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/a92c4b7dba64e1cf659b399e6b850acd.png">
题目3
单选题
命题公式 <img src="https://tihai-oss-cloud.itihey.com/img/4576b5131489da066d336df4133b8073.png">中小项的个数为( )
A. 0B. 1C. 2D. 3
题目4
单选题
给定推理 ①<img src="https://tihai-oss-cloud.itihey.com/img/7382a6e786ef6e9e9f5ef479608465e3.png"> P ②<img src="https://tihai-oss-cloud.itihey.com/img/60c17997090d39e63bc667725bc79763.png"> US① ③<img src="https://tihai-oss-cloud.itihey.com/img/50a45941f0adcb802044d8d51c820ade.png"> P ④<img src="https://tihai-oss-cloud.itihey.com/img/3c560d24ee95399543c1bdebbeb39647.png"> ES③ ⑤<img src="https://tihai-oss-cloud.itihey.com/img/59056310f7d2805cb198337afa7cb59b.png"> T②④I ⑥<img src="https://tihai-oss-cloud.itihey.com/img/cefc0d5737e0b0accce4a14c1fdd034b.png"> UG⑤ <img src="https://tihai-oss-cloud.itihey.com/img/1d387fe1a925723bc556aa8e21e12f24.png"> 推理过程中错在( )
A. ① -&gt;②B. ③ -&gt;④C. ④ -&gt;⑤D. ⑤ -&gt;⑥
题目5
单选题
列( )中的运算符都是可交换的
A. <img src="https://tihai-oss-cloud.itihey.com/img/d9d9fd2b1adcef4b2bdcc20c29b280e1.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/66031d62300628e4a8c75eb70653d6b2.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0ec9919df2cebf697391dd95178e4121.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/e070c5ec05192faaaf5523df17357fbb.png">
题目6
单选题
设G是n个结点、m条边和r个面的连通平面图,则m等于( )
A. n+r-2B. n-r+2C. n-r-2D. n+r+2
题目7
单选题
在自然数集N上,下列( )运算是可结合的. (对任意<img src="https://tihai-oss-cloud.itihey.com/img/a788608bcd0034c2cca45ec6243fa156.png">)
A. <img src="https://tihai-oss-cloud.itihey.com/img/f9797b898d3902cbfd2adec4997d9a65.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/4a186636315f7046689cf30904f2b5b7.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a2eeede0c3224f57b273a944e7e9d395.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/e3fcc47beb1a8a3c501ed8066f9b0e4a.png">
题目8
单选题
n个结点的无向完全图<img src="https://tihai-oss-cloud.itihey.com/img/b106c6807e0999471c196ad7e2670816.png">的边数为( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/0c5ca775441b0e92fe2290cef55c9796.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/5e86bc3fbaf364eea5aca6468798134c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/470e5ddf101086e45fb162f4dfe64bc0.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/561c778a1ce2b6215a08962a7f0c2027.png">
题目9
单选题
下列图中( )是根树
A. <img src="https://tihai-oss-cloud.itihey.com/img/e29884316d3dc77f99e32f277c4f55b1.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/371b0bbe21b7f449c899943ba467e6bb.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/47ef59d452d7b169bb759b22919b4bfa.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f433d5372ec95a4e3bf0374e3d8a76fa.png">
题目10
单选题
设G是简单有向图,可达矩阵P(G)刻画下列 ( )关系
A. 点与边B. 边与点C. 点与点D. 边与边
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