问题 填空题
将一张长为
2
a,宽为a(a>0)的长方形纸张对折得2开纸,将折叠后的2开纸再对折得4开纸,…,依次继续对折5次后得32开纸,且使原纸张与2开纸,4开纸,…,32开纸,皆是相似长方形,则32开纸的长×宽是______.
答案

如图所示,∵原长方形的长与宽的之比为

2
a
a
=
2

对折后的2开纸的长与宽之比为

a
2
a
2
=
2

∴原长方形纸与2开、4开、8开、16开、32开的长方形纸都是长与宽之比为

2
的相似长方形,

如图,32开纸中,长=

a
22
=
1
4
a,宽=
2
a
23
=
2
8
a,

∴长×宽=

1
4
2
8
a.

故答案为:

1
4
2
8
a.

阅读理解

◇ Share Flats Happy Valley big flat, 1 room ready for use immediately. Quiet and convenient, fully furnished, park view. $6, 800 including bills with maid. Female nonsmoker. No pet. Sara 25720836 or 10077809.

◇ Moving Sale 2 armchairs, red/brown at $400 each; coffee table, black, wood, $800; oil painting, big, $900; Tianjin carpet, green 3×7, $600; double bed, $500; mirror, big, square, $500; fridge, big, double-door, $1000; old pictures, $140, up, each; plants, big and small. Tel: Weekend, 2521-6011/Weekday, 2524-5867.

◇ Part-time Laboratory Assistant Wanted Required by busy electronics(电子) company to help with development of computer. Should have an electronics degree and some practical experience of working in an electronics laboratory. Hours 9:30 a.m.-1:00 p.m. Mon.-Fri. Fourteen days paid leave. Salary ¥6598-10230 dependent on experience. Letter of application to: Mrs. G Chan, NOVA ELECTRONICS, 45 Gordon Rd, Hung Hom Kowloon.

小题1:The one who put on the first ad probably wants to _______.

A.rent(租) a beautiful flat of her own in Happy Valley

B.find another lady to share the cost to rent a flat

C.share her room in a flat with whoever has no pet

D.take on a maid to look after herself and the flat小题2:according to the ads, you may _______.

A.buy an old picture for $150

B.call at 25720836 and see a beautiful park

C.buy two armchairs for $ 400

D.hire a maid by paying $6 800小题3:If you want to buy some old furniture, you should_______.

A.get in touch with NOVA ELECTRONICS

B.call at 2524-5867 any day except Monday

C.do it before you move to another place

D.call at either 2524-5867 on Monday or 2521-6011 on Saturday小题4:Once you can get a part-time job in NOVA ELECTRONICS, _______.

A.you have to work at least 4 hours a day

B.you should write a letter to Mrs. G Chan

C.you will be given 14 days off each year besides weekends

D.you will get no more than $6 598 each month

判断题