区别如下

(1)at home带有一种感情色彩,使用比较广泛,是泛指,可以独立成文,介词后面不能再加其它限定词。

She educated her younger daughter at home.
她在自己家里教育她的小女儿。

You'll never see life if you stay at home forever.
如果你一直呆在家里，就永远不会有生活经验。

Come in and make yourself at home.
请进，别客气。

He was at home just now.
他刚才在家。

Please make yourself at home.
请别客气。

He is at home.
他在家里。

They would rather go fishing than stay at home.
他们宁愿去钓鱼，也不愿待在家里

(2)in the home则在特定的情况下才能用,强调具体建筑物体的位置,带有特指的意思.介词后可以加其它限定词。

Sale in the home market rise by22%.

国内市场的销售量提高了22％。

This machine has a universal use in the home.

这种机器在家庭中有广泛的用途。

He had the fixed idea that a woman's place was in the home.

他有个成见，认为女人的天地是在家里。

What method can treat myopia in the home?

有什么方法可以在家治疗近视呀？

He takes care of everything in the home.

家里所有的事情他都能把揽上。

On July 13, cai Erci is arrested in the home.

7月13日，蔡尔兹在家中被捕。