6. Where would they go next?
A. They would go shopping.
B. They would go to the bank.
C. They would go to a place for a trip.
Conversation 4
5. What happened to the woman’s car?
A. Her car broke down.
B. Her car ran out of petrol.
C. Her car was lent to the man.
4. How is the traffic this time of a year?
A. Drivers drive safely and carefully on the roads.
B. Drivers drive like crazy on the roads.
C. Drivers drive carelessly and defenselessly on the roads.
Conversation 3
3. Who is Susan?
A. The man’s friend. B. The woman’s friend. C. Mary’s friend.
2. What can we learn from the dialogue?
A. The man is good at cooking.
B. The man managed to have dinner with the woman.
C. The man picked up the woman at seven thirty on Friday.
Conversation 2
1. Why can’t the woman go for dinner with the man tonight?
A. Because she has to see her sister.
B. Because she has to watch the film with her sister.
C. Because she has to attend the concert with her sister.
21. 解:(1)是增函数,
当
时,
为增函数,又
为偶函数,
,
.
当时,
综上,………………………………………………5分
(2)当时,有
,
当时,
即
,
,
当时,同理,
,
同样地,及
,得
由的存在性可知,上述不等式在
上必有解.
∵在
上的最小值为
,
,即
①
令,
.
则 由
得
当时,
,
是减函数;当
时,
,
是增函数
∴的最小值是
,又
,
,
,
在
上有唯一解
.……10分
当时,
,当
时,
在
时满足不等式①的最大实数解为
……13分
当,
时,
,在
时,
,在
时,
综上所述,最大整数为4. ……13分
20. 解:(1)当时,
……4分
(2)
单调递增
又
综上
……9分
(3)
………………………………………………13分
19. 解:(1)当时,
,设所求圆的圆心坐标为
圆心
,到直线
的距离为
,则
……………………………………6分
(2)圆心关于
的对称点为
点
到
的距离为
即
……………………………………………………………………12分
18. 解:(1)
四边形
为菱形,
为正三角形.
为
中点,
. 又
.
面
面
,
面
.
(2)设,
面
.
为
与平面
所成的角,
中,
.
当
最短时,
最大,
,
,
.
.
过作
于
,则
面
,过
作
于
,连结
,则
为二面角的平面角.
………………………………12分
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