Question

如图,圆柱内有一个三棱柱ABC-A1B1C1,三棱柱底面为圆柱底面的的内接三角形,AB为圆o直径,AA1=AC=CB=2

Answer 1

存在,

因为A1B1⊥OO1,C1O⊥A1B1,

所以A1B1⊥面OO1C1C,

所以A1B1⊥C1O,

因为B1M⊥C1O,

所以C1O⊥面A1B1M,

所以C1O⊥O1M,

如图,依题意可知O1C1=√2,OO1=2,

△OO1C1∽△O1C1M,

所以OO1/O1C1=O1C1/C1M,

解得C1M=1,.