關於英文的問題!

at the cost of mean that :
1)犧性
2)以....為犧性
3)以...為代價
at the expense of mean that:
1)由...支付費用
2)以...為代價

at the cost of 除左以...為代價的意思外,仲有以...為犧牲的意思.
at the expense of就淨得以...為代價的意思.