很高兴回答你的问题
entrance作动词时常用于被动语态 entrance by / with sth 使某人狂喜,着迷 所以这道题正确答案是with
entrance 做名词时,entrance into / onto 进来,进入 the man's entrance into office这个男人就职 ; entrance ( to )入口,通道 Where's the entrance to the cave?这个洞穴的出口在哪里?