【一】on one’s own有以下2个意思

【1】(英文解释：without anyone else) 独自；单独

I'm all on my own today.今天就我一个人。

She lives on her own.她一个人生活。

【2】(英文解释：without any help from other people)独立地

He did it on his own.这件事他独立完成了。

 I work best on my own.  我独立工作的时候效果最好。

【二】alone (英文解释：without any other people) 独自

I don't like going out alone at night.我不喜欢夜晚单独外出。

He lives alone.他独居独处。

Finally the two of us were alone together .最后只有我们两人在一起。

She was sitting all alone in the hall.她一个人坐在大厅里。

【三】by oneself有以下2个意思

【1】(英文解释：without anyone else)  独自地，单独地，独立地

I live by myself.我自己一个人生活。

【2】(英文解释：without any help from other people) 独立地

I painted the room all by myself.我独自一人粉刷了屋子。

备注：以上“on one’s own, alone, by oneself”在句中作“方式状语”可以替换表达意思相同。

She lives on her own.她一个人生活。

She lives alone.她独居独处。

She live by myself.她自己一个人生活。

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