1.offer to do sth. 主动提出做某事
offer to，在《生活大爆炸》中出现了18次，属于高频用法
No, but I should point out that he did offer to go to counseling, so at least one of you is trying.
没有 但我要指出他提议过做婚姻咨询 所以至少他在努力挽回 ——《生活大爆炸 S11E14》
可指主动提供某事物供考虑、接受或拒绝，或为某物出价，也可指主动提出建议、意见等。还可表示“主动做(某事)”。
He offered to help me .他主动帮助我。
Never offer to teach fish to swim.
别在强人面前逞能。
My mum felt very happy,when I offered to go shopping with her.
当我主动提出和妈妈去购物时，妈妈感到很高兴。
He offers to stand by his equipment, and we in return agree not to violate the integrity of the internal hardware.
他提供设备的保障 我们则保证不开箱亵渎内部硬件 ——《生活大爆炸 S02E17》
offer作“动提供，主动提出；出价”解时，用作及物动词时，接名词、代词或动词不定式作宾语，也可接双宾语，其间接宾语可以转化为介词to的宾语， offer有时还可接以as短语充当补足语的复合宾语，此时的宾语通常为反身代词。
The young man decided to offer to the pretty girl.
这个小伙子决定向那个漂亮的女孩求婚。
常用结构为：offer sb. sth.= offer sth. to sb.给某人某物；给某人提供某物
The company offered me a new chance .公司给我提供过了一次新的机会。
My parents offered me some new books.我的父母给我提供了一些新书。
2.offer sth (to sb) (for sth)
offer sth (to sb) (for sth) | offer sb sth
主动提出；自愿给予
Leonard：We do have Sheldon's old room. If he really needs a place to stay, I guess we should offer it to him.家里的确还有谢尔顿的旧房间 如果他真的需要落脚处 我们可以让给他住 ——《生活大爆炸 S10E18》
- Uh, one dumpling left. Who wants it? - Maybe you should offer it to the pregnant lady. - 还剩一个饺子 谁要吃 - 或许你该让给怀孕的那位女士 ——《生活大爆炸 S11E02》
I've been offered a chance to go up to the International Space Station for three weeks. What are your thoughts on that? 我被NASA选中要去国际空间站待上三个星期 你怎么想 ——《生活大爆炸 S05E05》
3.Offer sb to do sth 主语让某人做某事
Taylor offered him 500 dollars to do the work.
泰勒愿出500元雇他做这件工作。
offer sth to sb / offer sb sth 提供(东西或机会)，供应
offer your hand 伸出手（以便同别人握手）
He offered $4 000 for the car.
他出价4 000元买这辆汽车。
They decided to offer the job to Jo.
他们决定把这份工作给乔。
They decided to offer Jo the job.
他们决定让乔做这件工作。
He did not offer any explanation for his behaviour.
他没有对自己的行为作出任何解释。
on offer / under offer
可买到，可使用/(房屋或其他建筑物)已有买主出价；提供的;待售的;供使用的
More than 20 subjects are on offer at AS level at our college.
本校提供20多门高级证书辅助考试学科。
The activities on offer include sailing and mountain biking.
提供的活动项目有帆船运动和山地骑车。
He took all the freebies that were on offer.
他取了可得的全部免费品。
Some shoppers looked bewildered by the sheer variety of goods on offer.
光是摆在那里的各式商品就让一些购物者晕头转向了。
One problem not mentioned is the unemployed may not have the skills to fill the vacancies on offer.
一个没有提及的问题是，失业人员也许缺乏填补所提供的空职的技能。
Over 40 new books are on offer at 25 per cent off their normal retail price.
超过40种新书降价25%特惠销售。
Over the page you can read all about the six great books on offer.
在下一页上，你可以看到有关6本在售好书的全部信息。
I was impressed by the variety of dishes on offer.
所供应的菜肴之丰盛让我心动。
Lin's eyes moved down the noticeboard that listed all the courses on offer.
林的眼睛顺着布告板往下看,布告板上列出了所有的课程。中考真题- 2018 广州
Prizes worth more than £20 000 are on offer.
优胜者奖品总值逾20 000英镑。
offer of sth/to do sth
主动提议；建议
You can't just turn down offers of work like that.
人家给你工作，你不能就那样一一谢绝呀。
offer做名词,表示”建议;报价; (求学中)录取通知；(就业上) 工作机会。
Who can make an offer to solve the problem?
谁能做出解决这个问题的提议呢？
She had made us an offer too good to refuse.
她开出的条件好得让我们难以回绝。
They are likely to be well disposed to an offer of a separate peace deal.
他们很可能会赞同单独签订和平协议的提案。
Eventually Sam persuaded her to accept an offer of marriage.
最终萨姆说服她接受了求婚。
They made me an offer I couldn't refuse.
他们提出了一个使我不好拒绝的报价。
He has dismissed an offer of compensation.
他拒绝接受赔偿金。
常用搭配：
accept an offer 接受报价或提议
reject an offer 拒绝报价或提议
They have accepted an offer from another firm with a busy revolving door.
他们接受了另外一家频频换人的公司的聘用。