3. As is known to us, Australia is_________ country.
A. a spoken-English B. an English-speaking
C. a speaking-English D. an English-spoken
2. We have every reason to believe that ______ 2012 London Olympic Games will be______ success.
A. /;a B. the; / C. the; a D. a; a
从A,B,C,D四个选项中,选出可以填入空白处的最佳答案。
1. --We have booked a room for today and tomorrow.
--________, Sir.
A. I’m sure B. My pleasure C. It’s all right D. I’ll check
39.如图,在底面是直角梯形的四棱锥S-ABCD中,∠ABC=
(1)求四棱锥S-ABCD的体积;
(2)求面SCD与面SBA所成的二面角的正切值.
37.如上右图,在四棱锥P-ABCD中,底面ABCD是一直角梯形,∠BAD=90°,AD</PGN0301.TXT/PGN>∥BC,AB=BC=a,AD=2a,且PA⊥底面ABCD,PD与底面成30°角.
(1)若AE⊥PD,E为垂足,求证:BE⊥PD;
(2)求异面直线AE与CD所成角的大小(用反三角函数表示).
(1)试用a表示P的坐标;
(2)设A、B是椭圆C1的两个焦点,当a变化时,求△ABP的面积函数S(a)的值域;
(3)记min{y1,y2,…,yn}为y1,y2,…,yn中最小的一个.设g(a)是以椭圆C1的半焦距为边长的正方形的面积,试求函数f(a)=min{g(a),S(a)}的表达式.
36.如下左图,已知正四棱柱ABCD-A1B1C1D1,点E在棱D1D上,截面EAC∥D1B,且面EAC与底面ABCD所成的角为45°,AB=a.
(1)求截面EAC的面积;
(2)求异面直线A1B1与AC之间的距离;
(3)求三棱锥B1-EAC的体积.
35.如图,已知斜三棱柱ABC-A1B1C1的侧面A1ACC1与底面ABC
(1)求侧棱A1A与底面ABC所成的角;
(2)求顶点C到侧面A1ABB1的距离.
34.在正方体ABCD-A1B1C1D1中,E、F分别是BB1、CD的中点.
(1)证明AD⊥D1D;
(2)求AE与D1F所成的角;
(3)证明面AED⊥面A1FD1;
33.在三棱柱ABC-A1B1C1中,AB=AA1=a,E、F分别是BB1、CC1上的点,且BE=a,CF=2a.
(1)求证:面AEF⊥面ACF;
(2)求三棱锥A1-AEF的体积.
32.如图,圆柱的轴截面ABCD是正方形,点E在底面的圆周上,且AF⊥DE,F为垂足.
(1)求证:AF⊥DB;
(2)若V圆柱∶VD-ABE=3π∶1,求直线DE与平面ABCD所成的角.