1. Delusions¹ of grandeur²: the belief that one is important or powerful³. 自以为重要或有权势的幻念

Example:
Arrogant⁴ Tony seemed to have suffered from delusions of grandeur.

2. Deluged⁵ with something: filled or covered with something. 充满

Examples:
1>. The speaker was deluged with questions from the audience.
2>. Jim's company was deluged with orders for its new products.

3. Educated⁶ guess: a guess based on knowledge or past experience. 凭知识或经验的猜测

Example:
I don't know the exact price of a big car from Italy, but at an educated guess, I would say it should be more expensive than a Japanese car.

4. Egg someone on (to do something): encourage someone strongly, especially to do something wrong. 怂恿

Examples:
1>. He wouldn't have thrown the stone if his friends hadn't egged him on.
2>. She egged her husband on to quit the job and start his own business.

5. Either way/in either case: in one case or the other. 任何一种情况

Example:
One can get there by air or by sea, but either way, it is a long journey.

6. Eke⁷ out something: cause a small supply to last longer by adding something else with special reference⁸ to one's income. 补足

Example:
A person with big expenses may be forced to eke out his income by doing some extra work.

7. Fall into disuse: in a state of no longer being used. 废而不用

Example:
The small airport could not cope⁹ with the increasing demands and gradually¹⁰ fell into disuse.

8. Fall into oblivion: become forgotten. 遗忘

Example:
No matter how wonderful a person is, after his death, his name will quickly fall into oblivion.

9. Fall off:
become smaller in number or amount. 数量减少

Example:
The demand for new cars has suddenly fallen off.

10. Fall through: (of plans, etc.) fail. 失败

Example:
For some reasons, their plan to visit Europe fell through.

11. Fan out: spread out in the shape of a fan. 散开

Example:
The crowd fanned out across the green field.