问题 填空题

已知平面α,β,γ,直线l,m满足:α⊥γ,γ∩α=m,γ∩β=l,l⊥m,那么①m⊥β;     ②l⊥α;    ③β⊥γ;     ④α⊥β.

可由上述条件可推出的结论有______(请将你认为正确的结论的序号都填上).

答案

若α⊥γ,γ∩α=m,γ∩β=l,l⊥m,

由于β⊥γ不一定成立,故①m⊥β、③β⊥γ错误;

根据面面垂直的性质我们可得l⊥α,即②正确;

再由面面垂直的判定定理可得α⊥β,即④正确;

故答案为:②④.

单项选择题 案例分析题
完形填空
One day a stranger came to the nearest village and asked where he could find wild pigs. Somebody told him, and he went off. He had no 36 with him, and the village people  37 what he was going to 38 with the pigs.
When he came back a few months later and said that he had 39 all the pigs, the villagers were still more surprised, but some of them agreed to go with him 40 he asked for help in bringing the pigs out. They wanted to see whether he was telling 41 .
They soon discovered 42 he was. All the pigs were inside the enclosure(围栏) which had a fence round it and a 43 in one of its sides.
44 did you do it?” they asked the stranger.
“ well, it was quite easy really,” he answered. “ I began by 45 some Indian corn. 46, they would not touch it, but after a few weeks, some of the younger pigs 47 to run out of the bushes, take some of the corn quickly, and then run back. Soon all the pigs were eating the corn I 48 out there. Then I began to build a fence round the corn. At first it was very 49, but little by little I built it higher and higher without 50 the pigs away. When I saw that they were 51 me to bring the corn each day 52 going and searching for their own food  53 they had done in the past, I can 54 one day while they were all eating inside the enclosure. I can catch any animal in the world in the same way if I can get it into the habit of 55 me for its food.
小题1:
A.money
B.food
C.tools
D.guns
小题2:
A.understood
B.surprised
C.wondered
D.knew
小题3:
A.say
B.do
C.treat
D.fight
小题4:
A.bought
B.found
C.seen
D.caught
小题5:
A.and
B.so
C.then
D.when
小题6:
A.a story
B.the truth
C.a joke
D.a bad word
小题7:
A.that
B.what
C.who
D.how
小题8:
A.gun
B.hole
C.gate
D.window
小题9:
A.How
B.Why
C.When
D.Where
小题10:
A.looking
B.growing
C.getting in
D.putting out
小题11:
A.After all
B.At first
C.By and by
D.Above all
小题12:
A.began
B.risked
C.tried
D.decided
小题13:
A.had taken
B.had lain
C.had laid
D.had lied
小题14:
A.low
B.slow
C.shabby
D.small
小题15:
A.driving
B.frightening
C.sending
D.shooting
小题16:
A.looking at
B.interesting in
C.searching for
D.waiting for
小题17:
A.besides
B.except
C.instead of
D.because of
小题18:
A.as
B.though
C.since
D.it
小题19:
A.shoot it
B.shoot them
C.shut them
D.shut it
小题20:
A.satisfying with
B.living on
C.depending on
D.asking for