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2015-2016-1期中考试试卷

2015-2016-1期中考试试卷
2015-2016-1期中考试试卷

2015-2016-1《数据结构》期中考试试卷

CDABA BDCCC BACDB DADDB BCCDC CDABC BCACC

一、选择题(每题2分,共70分)

1.具有线性结构的数据结构是()

A.树B.图

C.栈和队列D.广义表

2. 下面几种算法时间复杂度阶数中,值最大的是()

A.O(nlog2n)

B.O(n2)

C.O(n)

D.O(2n)

3.下述哪一条是顺序存储结构的优点?()

A.存储密度大 B.插入运算方便 C.删除运算方便 D.可方便地用于各种逻辑结构的存储表示

4.下面关于线性表的叙述中,错误的是哪一个?()

A.线性表采用顺序存储,必须占用一片连续的存储单元。

B.线性表采用顺序存储,便于进行插入和删除操作。

C.线性表采用链接存储,不必占用一片连续的存储单元。

D.线性表采用链接存储,便于插入和删除操作。

5.若某线性表最常用的操作是存取任一指定序号的元素和在最后进行插入和删除运算,则利用()存储方式最节省时间。

A.顺序表 B.双链表 C.带头结点的双循环链表 D.单循环链表6.链表不具有的特点是()

A.插入、删除不需要移动元素 B.可随机访问任一元素

C.不必事先估计存储空间 D.所需空间与线性长度成正比

7. 下列关于队列的叙述中,错误

..的是( )

A.队列是一种先进先出的线性表

B.队列是一种后进后出的线性表

C.循环队列中进行出队操作时要判断队列是否为空

D.在链队列中进行入队操作时要判断队列是否为满

8. 若长度为n的线性表采用顺序存储结构,在其第i个位置插入一个新元素的算法的时间复杂度为()(1<=i<=n+1)。

A. O(0)

B. O(1)

C. O(n)

D. O(n2)

9. 对于顺序存储的线性表,访问结点和增加、删除结点的时间复杂度为()。

A.O(n) O(n) B. O(n) O(1) C. O(1) O(n) D. O(1) O(1) 10.在双向链表指针p的结点前插入一个指针q的结点操作是()。

A. p->Llink=q;q->Rlink=p;p->Llink->Rlink=q;q->Llink=q;

B. p->Llink=q;p->Llink->Rlink=q;q->Rlink=p;q->Llink=p->Llink;

C. q->Rlink=p;q->Llink=p->Llink;p->Llink->Rlink=q;p->Llink=q;

D. q->Llink=p->Llink;q->Rlink=q;p->Llink=q;p->Llink=q;

11.一个向量第一个元素的存储地址是100,每个元素的长度为2,则第5个元素的地址是( )

(A)110 (B)108 (C)100 (D)120

12. 链接存储的存储结构所占存储空间:( )

(A)分两部分,一部分存放结点值,另一部分存放表示结点间关系的指针

(B)只有一部分,存放结点值

(C)只有一部分,存储表示结点间关系的指针

(D)分两部分,一部分存放结点值,另一部分存放结点所占单元数

13.单链表的存储密度( )

(A)大于1;(B)等于1;(C)小于1;(D)不能确定

14.若元素的入栈顺序为1,2,3....,n,如果第2个出栈的元素是n,则输出的第i(1<=i<=n)

个元素是( )

A.n-i

B.n-i+l

C.n-i+2

D.无法确定

15.假设以数组A[60]存放循环队列的元素,其头指针是front=47,当前队列有50个元素,则队列的尾指针值为()

A.3 B.37

C.50 D.97

16.下列关于队列的叙述中,错误

..的是( )

A.队列是一种先进先出的线性表

B.队列是一种后进后出的线性表

C.循环队列中进行出队操作时要判断队列是否为空

D.在链队列中进行入队操作时要判断队列是否为满

17.一个队列的输入序列是A,B,C,D,则该队列的输出序列是( )

A.A,B,C,D

B.B,C,D,A

C.D,C,B,A

D.C,D,B,A

18.队列的特点是()

A.允许在表的任何位置进行插入和删除

B.只允许在表的一端进行插入和删除

C.允许在表的两端进行插入和删除

D.只允许在表的一端进行插入,在另一端进行删除

19.已知循环队列的存储空间大小为m,队头指针front指向队头元素,队尾指针rear指向

队尾元素的下一个位置,则向队列中插入新元素时,修改指针的操作是()

A.rear=(rear-1)%m;

B.front=(front+1)%m;

C.front=(front-1)%m;

D.rear=(rear+1)%m;

20.设栈的初始状态为空,元素1、2、3、4、5、6依次入栈,得到的出栈序列是(2,4,3,6,5,1),则栈的容量至少是( )

A.2

B.3

C.4

D..6

21.若栈的进栈序列为1,2,3,4,5,则经过出入栈操作不可能

...获得的出栈序列是( ) A.4,5,3,2,1 B.4,3,5,1,2

C.1,2,3,4,5 D.5,4,3,2,1

22.已知一个栈的入栈序列是1,2,3,…,n,其输出序列为p l,p2,p3….,p n,若p1是n,则p i是()

A.i

B.n-i

C.n-i+l

D.不确定

23.设有一个10阶的下三角矩阵A,采用行优先压缩存储方式,a ll为第一个元素,其存储地址为1000,每个元素占一个地址单元,则a85的地址为()

A.1012 B.1017

C.1032 D.1039

24.A是7×4的二维数组,按行优先方式顺序存储,元素A[0][0]的存储地址为1 000,若每个元素占2个字节,则元素A[3][3]的存储地址为( )

A.1015 B.1016

C.1028 D.1030

25.已知10×12的二维数组A,按“行优先顺序”存储,每个元素占1个存储单元,已知A[1][1]的存储地址为420,则A[5][5]的存储地址为()

A.470

B.471

C.472

D.473

26. 由三个结点可以构造出多少种不同的二叉树( )

A)3 B)4

C)5 D)6

27.在一棵深度为k的完全二叉树中,所含结点个数至少( )。

A)2k B) 2k+1

C)2k-1 D) 2k-1

28. 如图所示的4棵二叉树中,()不是完全二叉树。

29. 设一棵二叉树中有3个叶子结点,有8个度为1的结点,则该二叉树中总的结点数是( )。

A)12 B)13 C)14 D)15

30. 树中所有结点的度等于所有结点数加()

A.0

B.1

C.-1

D.2

31. 在一棵树中,每个结点最多有()个前驱结点。

A.0

B.1

C.2

D.任意多个

32.在一棵具有n个结点的二叉树的第i层上,最多具有()个结点。

A.2i

B. 2i+1

C. 2i-1

D. 2n

33. 在一棵二叉树上第5层的结点数最多为()

A.16

B.15

C.8

D.32

34. 下列关于二叉树的说法正确的是( ) 。

A)一颗二叉树中的结点个数大于0

B)二叉树中任何一个结点要么是叶子,要么恰有两个子女

C)一棵二叉树中叶子结点的个数等于度为2的结点个数加1

D)二叉树中任何一个结点的左子树和右子树上的结点个数一定相等。

35. 在一棵完全二叉树中,若编号从1开始,编号为i的结点存在右孩子,则右孩子结点的编号为()

A.2i

B.2i-1

C.2i+1

D.2i+2

顺序(n-1)/2 99和6 n-i+1 XSXXSSXXSS M-1 栈顶删除

front=(front+1)%m 17 和33 138 2h-1 2k-1和2k-1

二、填空题(每空2分,共30分)

1.当线性表的元素总数基本稳定,且很少进行插入和删除操作,但要求以最快的速度存取线性表中的元素时,应采用_______存储结构。

2.线性表L=(a1,a2,…,an)用数组表示,假定删除表中任一元素的概率相同,则删除一个元素平均需要移动元素的个数是________。

3.设二叉树根结点的层次为0,对含有100个结点的二叉树,可能的最大树深度和最小树深分别是 _______ 。

4.在一个长度为n的顺序表中第i个元素(1<=i<=n)之前插入一个元素时,需向后移动_____ ___个元素。

5.用X代表进栈操作,S代表出栈操作。给出利用栈将字符串"a*b-c"改变为"ab*c-"的操作

步骤___________。例如:将"ABC"改变为"BCA",则其操作步骤为XXSXSS。

6.顺序栈存放在S[m]中,S[0]为栈底,栈顶指针top初始值为-1,则栈满的条件是top= _________。

7.在栈结构中,允许插入和删除的一端称为______。

8.队列只能在队尾进行插入操作,在队首进行__________操作。

9.设循环队列存放在向量data[0..m-l]中,在出队操作后,队头指针front变化为______

_____。

10.设循环队列的容量为50(序号从0到49),现经过一系列的入队和出队运算后,有

①front=11,rear=29;②front=29,rear=11;在这两种情况下,循环队列中的元素个数分别是_____和______。

11.若二维数组a[4][5]的基地址是100,每个元素占用2个存储单元,以行存储,则数组

a中最后一个元素的存储地址是________。

12.设二叉树的深度为h,且只有度为0和2的结点,则此二叉树中所含结点数最多为________。

13.深度为k完全二叉树至少有________个结点,至多有________ 个结点。

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