25.The flowers _________sweet in the botanic garden attract the visitors to the beauty of nature.
A.to smell B.smelling C.smelt D.to be smelt
24.--- I will attend your lecture at 10:00 tomorrow.
--- I am sorry, by then my lecture will have ended and I ______ my guests in my office.
A.is being met B.will meet
C.will be meeting D.will have met
23.He looked around and caught a man ________his hand into the pocket of a passenger.
A.put B.to be putting C.to put D.putting
22.The party, which had been greatly _____, was spoiled by the rude behavior of an uninvited guest.
A.looked forward to B.looked up to
C.look into D.called for
第一节: 单项填空(共15小题;每小题1分,满分15分)
从A、B、C、D四个选项中,选出可以填入空白处的最佳选项。
21.The final _____ of the play will take place on Monday.
A.action B.performance C.view D.sight
22.(本小题满分14分)
已知向量![]()
(I)求证:
;
(II)若存在不等于
的实数
和
,使
满足
。试求此时
的最小值。
21.(本小题满分12分)
某港口海水的深度
(米)是时间
(时)(
)的函数,记为:![]()
已知某日海水深度的数据如下:
|
|
0 |
3 |
6 |
9 |
12 |
15 |
18 |
21 |
24 |
|
|
10.0
|
13.0 |
9.9 |
7.0 |
10.0 |
13.0 |
10.1 |
7.0 |
10.0 |
经长期观察,
的曲线可近似地看成函数
的图象
(I)试根据以上数据,求出函数
的振幅、最小正周期和表达式;
(II)一般情况下,船舶航行时,船底离海底的距离为
米或
米以上时认为是安全的(船舶停靠时,船底只需不碰海底即可)。某船吃水深度(船底离水面的距离)为
米,如果该船希望在同一天内安
全进出港,请问,它至多能在港内停留多长时间(忽略进出港所需时间)?
20.(本小题满分12分)
已知点A、B、C的坐标分别为A(3,0)、B(0,3)、C(cosα,sinα),α∈(
,
).
(I)若|
|=|
|,求角α的值;
(II)若
·
=-1,求
的值.
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