问题 选择题

一条直线若同时平行于两个相交平面,则这条直线与这两个平面的交线的位置关系是( )

A.异面

B.平行

C.相交

D.不确定

答案

答案:B

如图所示,直线a∥α,a∥β,α∩β=b,求证a∥b.只需考虑线面平行的性质定理及平行公理即可.

解:由a∥α得,经过a的平面与α相交于直线c,

则a∥c,

同理,设经过a的平面与β相交于直线d,

则a∥d,由平行公理得:c∥d,

则c∥β,又c?α,α∩β=b,所以c∥b,

又a∥c,所以a∥b.

故答案为B.

阅读理解
第1至5题是音乐方面的一些信息。阅读下面的音乐会信息(A、B、C、D、E和F),选出与音乐会
相对应的信息。选项中有一项是多余选项。
     ( )1. His platinum albums such as "You Make Me Happy and Sad" "Flowery Heart" "Music Brings Us
Together" and "Emil & Friends" have brought him numerous awards in Singapore, and China's Taiwan and
Hong Kong.
     ( )2. Jonathan Lee represents the creative spirit of the past 20 years in Taiwan and many renowned
singers like Sarah Chan (Chen Sbuhua), Sandy Lam (Lin Yilian), Emil Chau (Zhou Huajian) and Karen Mok
(Mo Wenwei) draw great inspiration from Lee's works. 
     ( )3. Jasmine Leong is a Malaysian singer who is very popular on the Taiwan music scene. Focusing
on lyrical songs, Leong's Beijing performance will also tap into rock & roll music. 
     ( )4. To remember Henrik Ibsen, with pianist Wolfgang Plagge, violinist Annar Folles and soprano Gao
Xia, the Norwegian Ibsen Trio will present the classic works of the celebrated playwright.
     ( )5. The mix of musical treats for children in Beijing includes various kinds of art forms, including
Western classical music and Chinese traditional music, as well as puppet plays, crosstalk shows, and highlights
of Chinese local operas such as Peking Operas and Kunqu Operas.
                                                  A
Commemorative show: To mark the 100th\anniversary of the birth
of Norwegian playwright Henrik Ibsen, the founder of modern prose
drama, a concert titled "Nora's Songs" will be given.
Time: 7:30 pm, March 20
Place: Peking University Concert Hall
Tel: 6275-2279, 6275-9637
                                                 B
Feel the mood: Jonathan Lee will host his 2006 concert in Beijing
As the master of music in Taiwan, Lee is famous for his unique
annotation of love, mood and life.
Time: 7:30 pm, March 24, 25
Place: Capital Gymnasium, Baishiqiao Lu, Haidian District
Tel: 6835-4020
                                                C
Chamber music: The chamber concert series of China Philharmonic
Symphony Orchestra will greet audiences with a woodwind quintet,
a string quartet plus Bach's piano concert and suite.
Time: 7:30 pm, March 25
Place: The Concert Hall of the Central Conservatory of Music, 43
Baojiajie, Xicheng District
Tel: 6641-4759, 6642-5744
                                                D
Pop star: Singer and composer Emil Chau, one of the most
admired music idols in China and Southeast Asia, will perform a
solo concert in Beijing. Chau was born in Hong Kong and attended
college in Taiwan. He has released more than 30 albums in
Mandarin, Cantonese and English.
Time: 7:30 pm, March 31
Place: Capital Gymnasium, Baishiqiao Lu, Haidian District
Tel: 6833-5552
                                                E
Music for children: Some 50 colourful music-related performances
will be staged until August 28 in an "Open the Door to Music"
series of concerts, in a move to foster Chinese children's taste for
art. The concert series will be held in several venues, sponsored by
the Forbidden City Concert Hall and supported by the Beijing
Municipal Culture Bureau.
Tickets: 8-95 yuan (US$1-12)
Time/date: 2 pm or 7:30 pm, July 20-August 28
Location: mainly in the Forbidden City Concert Hall in Zhongshan
Park, some in Peking University Hall in Haidian District and in
the China Puppet Art Theatre and Poly Theatre
Tel: 6506-5343, 6506-5345
                                                F
Beautiful timbre: Jasmine Leong will meet her Beijing fans next
month. Singing with beautiful timbre, Leong will present a series of
love stories to the audience. To highlight the theme of love, 200
sets of lover's tickets, valued at l,800 yuan will be presented.
Tickets: 180-980 yuan (US$22-121)
Time/date: 7:30 pm, September 9
Location: Workers' Gymnasium, Gongti Beilu, Chaoyang District
Tel: 6501-6655
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