后跟的介词不同！！！
offer的意思是“给予，提出，出价”；
provide的意思是“提供，供给，为……做准备”，常与for, with一起连用。
offer
vt.
1. 给予,提供;拿出,出示[O1][(+to)]
He offered me a glass of wine.
他端给我一杯酒。
2. 愿意;试图(做某事);提议[Y][+to-v]
They offered to help me.
他们表示愿意帮助我。
He offered to lend me some books.
他表示要借给我几本书。
3. 出(价);开(价)[O1]
We offered him the calculator for US$50.
这计算器我们向他开价五十美元。
4. 贡献;奉献
vi.
1. 提议
2. (机会等)出现
She travels whenever the opportunity offers.
她一有机会就去旅行。
3. 献祭
n.[C]
1. 提供,提议[(+of)][+to-v]
Thank you for your kind offer of help.
感谢你想给予帮助的好意。
2. 出价;报价
provide
vt.
1. 提供[(+for)]
On Sundays his landlady provided dinner as well as breakfast.
星期天,他的女房东不但供给早餐,还供给晚餐。
2. 装备,供给[(+with)]
Somehow she managed to provide her children with food and clothing.
她总算设法使她的孩子有饭吃,有衣穿。
3. 规定[Y][+(that)]
The law provides that these ancient buildings must be preserved.
法律规定,这些古老的建筑应该保存。
4. 准备,预备
5. 【宗】任命...就有俸神职
vi.
1. 抚养,赡养[(+for)]
He tried to earn more money to provide for a large family.
他设法多挣钱以供养一个子女众多的家。
He has a large family to provide for.
他有一大家子人要养活。
2. 作准备;预防[(+for/against)]
3. 规定[(+for)]
The constitution provides for citizens' rights and obligations.
宪法规定了公民的权利与义务
