问题 填空题

已知各顶点都在同一个球面上的正四棱锥高为3,体积为6,则这个球的表面积是_____.

答案

16π

题目分析:正四棱锥的高为3,体积为6,易知底面面积为6,边长为

正四棱锥P-ABCD的外接球的球心在它的高PO1上,

记为O,PO=AO=R,PO1=3,OO1=3-R,

在Rt△AO1O中,AO1=,AC=,由勾股定理R2=3+(3-R)2得R=2,

∴球的表面积S=16π。

点评:中档题,关键是确定出球心的位置,利用直角三角形列方程式求解球的半径.

改错题

短文改错(共10小题;每小题1.5分,满分15分)

此题要求改正所给短文中的错误。对标有题号的每一行做出判断。如无错误,在该行右边的横线上划一个勾(V);如果有错误(每行只有一个错误),则按下列情况改正:

此行多一个词:把多余的词用斜线(/)划掉,在该行右边的横线上写出该词,并也用斜线划掉。

此行缺一个词:在缺词处加一个漏字符号(∧),在该行右边的横线上写出该加的词。

此行错一个词:在错的词下划一横线,该行右边的横线上写出改正后的词。

注意:原行没有错的不要改。

Dear Mr. Donforth,

I’m writing to ask you come to our class for a visit. I’ve    76. __________

heard that you have been to Greece. In our Greece unit, we       77. __________

have been learning about it’s rich culture and long history.  78. __________

Since you have visited Greece several times, so I would like to  79. __________

know whether you have seen the old buildings here. We have     80. _________

learned a lot from the text book, but I believe you personal       81. __________

experience will be a lot better. Your knowledges of Greece can 82. __________

help the whole class. Could you share your experiences for       83. __________

us? It will be surely exciting and rewarding. I hoped that you    84. __________

think about my request and visit us as soon as possibly.               85. __________

判断题