Question

would you like to和would you like的区别

would you like to go to school with me和would you like some coffee。
是不是原型就是would you like ，只不过前者加to表示目的？

Answer 1

would like+名词或代词时，表示的是“具体要”某样东西
would like+动词不定式（to do sth.）时，表示“愿望，喜爱”，常用于有礼貌地提出邀请，请求或建议。
至于would you like to和would you like的区别，则是前者to后面跟动词，即would like+动词不定式。would you like就是would like+名词。

Answer 2

would you like to 后面加动词，如果后面加名词的话就是would you like

Answer 3

前者to后面接动词
后者直接接名词
would you like sth to eat?
would you like some desert?
个人认为只是这个差别