所以r?66a,于是,中截面M到底面的距离为a,则O到平面M的距离为126666a?a?a. 6121210.B.构造凸四边形,凸四边形对角线的交点在凸四边形内.最多其有C4?C5=60. 11.D.设x?□,y?△,则4x?y?30.
30(?221x111)?(4x?y)(?) yxyy4x?5?(?)xyy4x?5?2?9.xy
取等号时,有
y4x?,即x?5,y?10. xy12.B.设t分钟后水箱内的水量为y升,则由题设知,
289?17?y?200?34t?2t?2?t???200??t?0?,
2?2?22当t?1728929?8.5时,y取最小值,此时共放浴用水34?8.5?289升,而?4,26565故一次至多可供4人洗浴. 二、填空题 13.
1.记右下角的顶点为D,显然有 ???ACB??ACD??BCD,于是 73?2t?AnCD??B?CD??a1?3?21.? 7 ta?n?14.0或2.若x?0或y?0,则一定有x?y?0,从而有x?y?0.若x?0且y?0,
对2?18?6取以6为底的对数,得xlog62?ylog618?xy, 于是x?log618,y?log62.故有x?y?log618?log62?log636?2.
xyxy