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6. Boys are supposed to have at least a high school education to adapt to the present society, and the more college course they have, _________.

A. the better        B. the worse       C. the less      D. the fewer

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5. It is reported that the footballer ran out of breath and suddenly dropped ________ right then and there.

A. deadly           B. died          C. death         D. dead 

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4. As for the food in our school, we just eat what is served in the caferia every day, _________ is all we can get.

  A. and which          B. and that       C. and what      D. that

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3. Our hard work in Senior Three may not pay off, but never give up your learning. Just  _________ it.

A. go for         B. go with       C. go by         D. go over

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2. Some people prefer to work and live in Chengdu, for the price of an apartment is less than half of ________ of big cities like Beijing, Shanghai, and Guangzhou.

A. it            B. what         C. that          D. one

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第一节   语法和词汇知识(共20小题;每小题1分,满分20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,并在答题卡上将该项涂黑。

1. Nowadays there has been ______ program on TV about what great changes have taken place in Macao in _______ past ten years.

A. a; a            B. a; the         C. the; the       D. the; a

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22.(14分)(理)已知函数,数列{}是公差为d的等差数列,数列{}是公比为q的等比数列(q≠1,),若

(1)求数列{}和{}的通项公式;

(2)设数列{}的前n项和为,对都有 

 (文)设数列{}的前n项和为,且

(1)设,求证:数列{}是等比数列;

(2)设,求证:数列{}是等差数列

(3)求

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21.(12分)已知椭圆(ab>0)的离心率,过点A(0,-b)和B(a,0)的直线与原点的距离为

(1)求椭圆的方程.

 (2)已知定点E(-1,0),若直线ykx+2(k≠0)与椭圆交于CD两点.问:是否存在k的值,使以CD为直径的圆过E点?请说明理由.

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20.(12分)某渔业公司年初用98万元购买一艘捕鱼船,第一年各种费用为12万元,以后每年都增加4万元,每年捕鱼收益50万元.

(1)问第几年开始获利?

 (2)若干年后,有两种处理方案:

 方案一:年平均获利最大时,以26万元出售该渔船

 方案二:总纯收入获利最大时,以8万元出售该渔船.问哪种方案合算.

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18.(12分)在一次由三人参加的围棋对抗赛中,甲胜乙的概率为0.4,乙胜丙的概率为0.5,丙胜甲的概率为0.6,比赛按以下规则进行;第一局:甲对乙;第二局:第一局胜者对丙;第三局:第二局胜者对第一局败者;第四局:第三局胜者对第二局败者,求:

(1)乙连胜四局的概率;

(2)丙连胜三局的概率.

 注意:考生在(19甲)、(19乙)两题中选一题作答,如果两题都答,只以(19甲)计分.

 19甲.(12分)已知长方体ABCD-中,棱ABBC=3,=4,连结,过B点作的垂线交E,交F

 (1)求证:⊥平面EBD

 (2)求ED与平面所成角的大小;

 (3)求二面角E-BD-C的大小.

 19乙.(12分)如图,在正方体ABCD-中,EF分别是CD的中点.

 (1)证明:AD

 (2)求AE所成的角;

 (3)证明:面AED⊥面

 (4)设=2,求三棱锥F-的体积

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