Test center: intellectual problems.
Special topic: Special topic of traditional application problems.
According to the meaning of the question, there is a tailless fish, two headless fish and three and a half fish. There is no such fish in real life, so Xiaojun caught 0 fish.
Answer:? Solution: Because there is a tailless fish, two headless fish and three and a half fish, there is no such fish in real life.
So Xiaojun * * * caught 0 fish.
Comments: To solve this problem, we should combine it with real life, and we can't just treat superficial phenomena as mathematical problems.
Classic puzzle classic
Puzzle 1 (pirates divide gold coins)-After five pirates grab 100 gold coins, discuss how to distribute them fairly. They agreed on the distribution principle is:
(1) Draw lots to determine each person's distribution sequence number (1, 2, 3, 4, 5);
(2) Pirates who draw lots. 1 Propose a distribution plan, and then five people will vote. If the plan is agreed by more than half of the people, it will be distributed according to his plan, otherwise 1 will be thrown into the sea to feed sharks;
(3) If 1 is thrown into the sea, No.2 puts forward the allocation plan, and then four people are left to vote. If and only if more than half of the people agree, they will be allocated according to his proposal, otherwise they will be thrown into the sea;
4 and so on.
Assuming that every pirate is extremely intelligent and rational, they can make strict logical reasoning and rationally judge their own gains and losses, that is, they can get the most gold coins on the premise of saving their lives.
At the same time, assuming that the results of each round of voting can be implemented smoothly, what distribution scheme should the pirates who have drawn 1 put forward to avoid being thrown into the sea and get more gold coins?
Puzzle 2 (guessing cards) Mr. S, Mr. P, Mr. Q They know that there are 16 playing cards in the desk drawer: hearts A, spades Q, J, flowers 8, 4, 2, 7, 3, K, Q, 5, 4, 6 diamonds A, 5.
Professor John chooses a card from 16 card, tells Mr. P the number of points in this card, and tells Mr. Q the color of this card. At this time, Professor John asked Mr. P and Mr. Q: Can you infer what this card is from the known points or colors? So, Mr. S heard the following conversation:
Mr. P: I don't know this card.
Mr q: I know you don't know this card.
Sir: Now I know this card.
Mr. Q: I know that, too.
After listening to the above conversation, Mr. S thought about it and correctly deduced what this card was.
Excuse me: What kind of card is this? Puzzle 3 (burning rope problem)