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东北师范大学《大学英语(一)高起专》15春在线作业2答案

东北师范大学《大学英语(一)高起专》15春在线作业2答案
东北师范大学《大学英语(一)高起专》15春在线作业2答案

大学英语(一)高起专《大学英语(一)高起专》15春在线作业2

一,单选题

1. The manager accused one of the hotel servants ______ stealing the money.

A. for

B. with

C. of

D. about

?

正确答案:C

1. If you go by train you can have quite ______ comfortable journey.

A. the

B. one

C. a

D. that

?

正确答案:C

2. You ______ your seats today if you want to go to the game.

A. had better to reserve

B. had better reserve

C. had to better reserve

D. had to reserve better

?

正确答案:B

2. Either the dean or the principal ______ the meeting.

A. attends

B. attend

C. are attending

D. have attended

?

正确答案:A

3. Every man and woman eighteen years of age or older is eligible to vote for the candidate of ______.

A. his choice

B. their choice

C. the choice of him

D. the choice of theirs

?

正确答案:A

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(3) (){}b c c a b a c c b b a a R r ,,,,,,,,,,,= (){}c b c a c c a a b b a a a R s ,,,,,,,,,,,= (){} R b c a b a a a R t ==,,,,,, 二、证明题(每小题15分,共75分。) 1.证明等价式 :()()()()C Q P A C Q P A C A Q P →?∧=∨∨→∧→∧∧。 证明等价式: ()()()()C Q P A C Q P A C A Q P →?∧=∨∨→∧→∧∧ 证明: ()() ()()() ()() ()()()()()()()()()()()()()()()()()()()()()C Q P A C Q P Q P A C Q P Q P A C Q P Q P A C Q P Q P A C Q P A Q P A C Q P A C Q P A C Q P A C A Q P C Q P A C A Q P →?∧=→?∧?∨∧∧=→∨∧?∨??∧=→∨∧?∨?∨??=∨∨∧?∨?∨?=∨∨∨?∧?∨?∨?=∨∨∨?∧∨?∨?∨?=∨∨∨?∧∨∧∧?=∨∨→∧→∧∧ 2. 证明:树是一个偶图。 证明:树是一个偶图。 证明:设E V T ,=是一棵树,对任意的V u ∈,令 {}为奇数之间的基本通路的长度与u v V v V ∈=1 {}为偶数之间的基本通路的长度与u v V v V ∈=2 (1) 因为T 是连通的,所以对任意的V v ∈,必有1V v ∈或2V v ∈,因此V V V =?21,(2) 因为T 是树,v 与u 之间的基本通路有且只有一条,所以Φ=?21V V , (3) 因为T 是树,T 中无回路,所以1V 或2V 中的任意的两个顶点不可能是相邻的。 综上,T 是一个偶图。

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