would prefer和would rather有他吗什么区别？气死我了。。求详细解答。。不懂得

意思上两个单词没有区别，其区别在于句型和不同语法规定

I prefer this to that
I prefer doing this to that
I prefer doing this to doing that
I would prefer this instead of that
I would rather do this than that
I would rather be doing this than that
I would rather be doing this than doing that
上面是几个语法正确的句型。

请看例句：
I would prefer to have dinner at 6 pm. instead of 7 pm.
I would rather have dinner at 6 pm. than at 7 pm.
两句意思一样。

我是加拿大人，前英语老师

有区别的.

Rather 后面直接跟动词，而Prefer后面要加不定式（to+动词）

你图片里的第一个问题如果用两种方式分别回答应该是：
I would rather have the appointment at 10.或者I would prefer to have the appointment at 10.

更详细具体的解释：
Rather and Prefer are words used to show a choice from
different options.

For example:

1.Would you rather eat pizza or pasta?

I would rather eat pizza

2.Would you prefer to eat pizza or pasta?

I would prefer to eat pizza.

The structure of these sentences are the same except for one
small difference:
Would Rather is followed by a base verb and Would Prefer is
followed by an infinitive.

1.Subject + Would + Rather + Base Verb

I would rather live in a warm country.

I would rather go to a different restaurant.

2.Subject + Would + Prefer + To + Verb

I would prefer to live in a warm country.

She would prefer to meet on Monday

以would prefer to do sth（后面的to do形式不受would 影响，是prefer to do用法）. would rather do sth.（would 后面用动词原形，而rather只是个副词而已）