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
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
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
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
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
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
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…
求.
(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.
21.(12分)已知椭圆(a>b>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y=kx+2(k≠0)与椭圆交于C、D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.
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.
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AB=BC=3,=4,连结,过B点作的垂线交于E,交于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,E、F分别是,CD的中点.
(1)证明:AD⊥;
(2)求AE与所成的角;
(3)证明:面AED⊥面;
(4)设=2,求三棱锥F-的体积.
湖北省互联网违法和不良信息举报平台 | 网上有害信息举报专区 | 电信诈骗举报专区 | 涉历史虚无主义有害信息举报专区 | 涉企侵权举报专区
违法和不良信息举报电话:027-86699610 举报邮箱:58377363@163.com