would rather\prefer\would like 的区别

would rather\prefer\would like 的区别
would rather do sth than do sth\i would rather to do sth than do sth\would rather doing sth than doing sth
prefer sth to sth
prefer to do sth than do sth\prefer to do sth rather than do sth\prefer doing sth than doing sth\prefer doing sth rather than doing sth \prefer doing sth to doing sth
would like to do sth rather than do sth\would like do sth rather than do sth would like to do sth than do sth \would like doing sth than doing sth \would like sth to sth\would like sth than sth
这些句子中哪些对,为什么?
rather是什么词性,和prefer \like 有什么区别,请说明其详细含义及其用法,这3种句式正确用于比较都有哪些用法,为什么?
回答全面的酌情在加5-50分