WOULD RATHER TO

应是would rather do.因为would rather是由would为中心词的,而would是一个情态动词,我们知道,情态动词后面是要接一个动词原形的.
不明白的再问哟!请记得采纳,多谢!would like呢would like是以like为中心的，would接动词原形，这个动词原形就是like。like后面如果再接动词，动词既可以变成doing，也可以变成to do。但would like后面只能是to do。