问题 填空题

一个项数为偶数的等比数列,首项是1,且所有奇数项之和是85,所有偶数项之和是170,则此数列共有______项.

答案

设等比数列项数为2n项,所有奇数项之和为S,所有偶数项之和为S

则S=85,S=170,所以q=

S
S
=2,

∴S=

a1(1-q2n)
1-q2
=85,解得n=4,

这个等比数列的项数为8,

故答案为:8

完形填空

Ⅱ语言知识及应用(共两节,满分45分)

第一节 完形填空(共15小题;每小题2分,满分30分)

阅读下面短文,掌握其大意,然后从16—30各题所给的A、B、C和D项中,选出最佳选项,并在答题卡上将该项涂黑。

Mrs. Williams became a foster grandparent to Mary when she was nine years old. At first Mary was ___16   . She was afraid because Mrs. Williams was a stranger. But she came to see Mary every day. Gradually, she began to   17   Mrs. William.

At last Mary let Mrs. Williams do things for her. She came at lunchtime and fed her. One day she   18  _ her the spoon and guided it to her    19   . She told her she must learn to feed herself.

"Most of the   20   ended up on us instead of in Mary's mouth.” Mrs. Williams remembers. “But it was a ___21    for Mary. Mary learned to feed herself in a few months.”

Then Mary was ready for more treatment. Thanks to Mrs. Williams, after she had learned to do one simple thing, she could learn to do other simple things. Mrs. Williams was   22   to help with Mary's _  23   .

To become foster grandparents, people must be at least sixty-five years old and in good __24   . They must be willing to give their   25   to disabled children. They are volunteers, so they are not paid.

Mrs. Williams  26   for most foster grandparents when she says, “We all benefit. The  ___27   children benefit because we help them live more useful lives. And we benefit because we know the children   28    us and love us. For any   29  , there is no greater __30   than that!”

16. A. sorry           B. glad                 C. surprised                  D. shy

17. A. know         B. realize               C. recognize                D. trust

18. A. awarded          B. handed             C. returned                        D. hit

19. A. nose               B. eye                 C. mouth               D. ear

20. A. supper              B. dinner                     C. lunch                 D. breakfast

21. A. job                 B. start              C. invention              D. help

22. A. trained            B. forced              C. afraid               D. tired

23. A. treatment       B. medicine            C. food                D. drink

24. A. wealth             B. health              C. position              D. heart

25. A. money             B. life                  C. house               D. time

26. A. tells                B. speaks             C. announces                       D. informs

27. A. poor                B. sick                C. disabled                         D. unhealthy

28. A. help               B. need               C. treat                D. touch

29. A. place             B. person             C. time                            D. chance

30. A. progress          B. responsibility         C. happiness              D. work

选择题