Being sick ,I stayed at home.
可以 改为：I stayed at home because of sickness.
或 I stayed at home because I was sick.
用for 不妥 介词for 一般表示目的.连词for表示 所判断的原因 不是必然的原因
Not knowing her address,I can't write to her.
不 可 改为：I can't write to her for not knowing her address
Having eaten too much,he couldn’t go to
sleep.
不 可 改为：He couldn’t go to sleep for having eaten too much.