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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

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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

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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

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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

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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

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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,使满足。试求此时的最小值。

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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:

(时)
0
3
6
9
12
15
18
21
24
(米)
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)?

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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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