题目列表(包括答案和解析)
touch
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rely
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loss
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agriculrure
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B.阅读理解:(30分)
Now we can see a man and his wife at the breakfast table. They are not speaking to each other.
They haven’t spoken to each other at the breakfast table for years. The husband is reading his newspaper. We can’t see his face. The wife looks very worried as she gets a cup of tea ready for him. Today she is using a new kind of tea for the first time. The husband picks up his cup. He isn’t interested. He tastes his tea. Suddenly he puts down his newspaper. Something is different! Can it be the tea? He takes another taste. It’s wonderful. He smiles. He looks at his wife and says in surprise, “Doris, when did you cut your hair?” Doris is pleased. She answers, “Two months ago.” Doris asks, “Herbie, when did your hair begin to become white?” He answers, “A long time ago.” Doris says, “We have been together for many years, but we never cared about each other.” Now they aren’t worried any longer. Breakfast is different. Has a new kind of tea changed their lives?
36. This story happens______________________.
A. before breakfast B. after breakfast
C. at home D. in a teahouse
37. In the passage, we can see ________________________.
A. Doris is drinking tea B. Herbie likes the new kind of tea
C. Doris is reading a newspaper D. Herbie is very young and good-looking
38. Herbie and Doris lived ______________ before this day.
A. a wonderful B. an unhappy
C. an enjoyable D. a friendly
39. Which of the following statements is true?
A. They are good friends. B. They have just got married.
C. They like to talk about their hair. D. They are no longer young.
40. From the passage, we think it may be ______________.
A. a radio programme B. a short film
C. a computer game D. a beautiful painting
1.C 2.A 3.B 4.D 5.C 6.B 7.D 8.C 9.B 10.A
11.120° 12.3x+y-1=0 13.
14.10 15.100 16.(1),(4)
17.解:(1)设抛物线
,将(2,2)代入,得p=1. …………4分
∴y2=2x为所求的抛物线的方程.………………………………………………………5分
(2)联立
消去y,得到
. ………………………………7分
设AB的中点为
,则
.
∴ 点
到准线l的距离
.…………………………………9分
而
,…………………………11分
,故以AB为直径的圆与准线l相切.…………………… 12分
(注:本题第(2)也可用抛物线的定义法证明)
18.解:(1)在△ACF中,
,即
.………………………………5分
∴
.又
,∴
.……………………
7分
(2)


. ……………………………14分
(注:用坐标法证明,同样给分)
19.
解法一:(1)连OM,作OH⊥SM于H.
∵SM为斜高,∴M为BC的中点,∴BC⊥OM.
∵BC⊥SM,∴BC⊥平面SMO.
又OH⊥SM,∴OH⊥平面SBC.……… 2分
由题意,得
.
设SM=x,
则
,解之
,即
.………………… 5分
(2)设面EBC∩SD=F,取AD中点N,连SN,设SN∩EF=Q.
∵AD∥BC,∴AD∥面BEFC.而面SAD∩面BEFC=EF,∴AD∥EF.
又AD⊥SN,AD⊥NM,AD⊥面SMN.
从而EF⊥面SMN,∴EF⊥QS,且EF⊥QM.
∴∠SQM为所求二面角的平面角,记为α.……… 7分
由平几知识,得
.
∴
,∴
.
∴
,即所求二面角为
. ……………… 10分
(3)存在一点P,使得OP⊥平面EBC.取SD的中点F,连FC,可得梯形EFCB,
取AD的中点G,连SG,GM,得等腰三角形SGM,O为GM的中点,
设SG∩EF=H,则H是EF的中点.
连HM,则HM为平面EFCB与平面SGM的交线.
又∵BC⊥SO,BC⊥GM,∴平面EFCB⊥平面SGM. …………… 12分
在平面SGM中,过O作OQ⊥HM,由两平面垂直的性质,可知OQ⊥平面EFCB.
而OQ
平面SOM,在平面SOM中,延长OQ必与SM相交于一点,
故存在一点P,使得OP⊥平面EBC. ……………………… 14分
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