问题 填空题

设α和β为不重合的两个平面,给出下列命题:

①若α内的两条相交直线分别平行于β内的两条直线,则α平行于β;

②若α外一条直线l与α内的一条直线平行,则l和α平行;

③设α和β相交于直线l,若α内有一条直线垂直于l,则α和β垂直;

④直线l与α垂直的充分必要条件是l与α内的两条直线垂直.

上面命题中,真命题的序号是    (写出所有真命题的序号). 

答案

①②

命题①是两个平面平行的判定定理,正确;命题②是直线与平面平行的判定定理,正确;命题③中在α内可以作无数条直线与l垂直,但α与β只是相交关系,不一定垂直,错误;命题④中直线l与α垂直可推出l与α内两条直线垂直,但l与α内的两条直线垂直推不出直线l与α垂直,所以命题④不正确.

填空题
阅读理解

“Now I just don’t believe that.” Surely all of us, at some point, have watched a movie and thought: It’s simply badly researched, or, the makers must think we’re fools.

If movies were completely scientifically accurate, they’d probably be as interesting as a Physics 101 lecture. In real life, there are no explosions in space, gas usually doesn’t explode from a lit cigarette, and Bruce Willis / Jackie Chan / Will Smith would most likely be in a coma(昏迷) after getting kicked in the head.

Recently, the British newspaper The Daily Telegraph ran a humorous piece on unconvincing tech moments from some top movies. Let’s see what they are all about.

Telegraph writer Tom Chivers’ first example is from the end-of-the-world movie Independence Day, in which a character comes up with a virus capable of destroying Windows, the computer system the alien(外星人的) spacecraft uses. “It’s a good thing they didn’t have Norton antivirus,” jokes Chivers.

It’s just one case of a movie that takes a lot of license with its science. Another one Chivers mentions is from Star Wars, where glowing beams of light traveling through space look very impressive. The problem is that in space there are no air particles(颗粒) for the light to reflect off. In reality, they’d not be seen, which wouldn’t look so cool on the big screen.

Chivers’ second piece of Star Wars nonsense is the sound the fighters make in the movies: “ the bellow(咆哮) of an elephant mixed with a car driving on a wet road”. But sound needs a medium to travel through, like air. In space, there wouldn’t actually be any sound at all.

Few people would deny that the mind-bending Matrix films make for great viewing, but for Chivers, the science in the movies is a little silly.

And finally: as Chivers points out, DAN is not replaceable. But this bit of elementary genetics passed the makers of the 2002 Bond film Die another Day by. In the film the villain(坏人) has “gene therapy” to change his appearance and his DNA, which is completely impossible.

小题1:What does the text mainly deal with?

A.Plots of some famous movies.

B.Characters in space movies.

C.Popularity of space movies.

D.Mistakes made in some movies.小题2:From the first two paragraphs we can know that some movie makers ____.

A.went against general knowledge of science

B.didn’t pay attention to the viewers’ real demand

C.overestimated viewers’ appreciation of movies.

D.didn’t try their best to improve the quality of the movies.小题3:What does the underlined word “they” in Paragraph 3 refer to?

A.The newspapers.

B.Unconvincing tech moments

C.Some top movies.

D.Heroes in the movies.小题4:We can learn from Paragraph 7 that ____.

A.most people like Matrix films

B.the truth of Matrix films remains in doubt

C.few people think Matrix films silly

D.Chivers thinks science is unacceptable