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Classic puzzles and answers of high school mathematics.
1. There are two unevenly distributed incense, and the burning time is one hour. What method can you use to determine the time of 15 minutes?

2, there is a small peach seller: 1 dime a peach, 3 peach stones can be exchanged for 1 peach; You only have 1 yuan. How many peaches can you eat at most?

3. There are three pairs of tigers crossing the river: Aa, Bb, CC; Only ABC and A can row a boat, and only one boat can carry two tigers at a time, but each tiger: A, B and C will be eaten by other big tigers without the protection of the corresponding big tigers. Little tigers don't eat little tigers, and big tigers don't eat big tigers, so design a crossing plan to let these three tigers cross the river safely ... Answer: 1, incense A lights up one end and incense B lights up both ends. By the time incense B burned out, it was already 30 minutes. Then ignite the other end of incense A, and the time from this time to burning A is 15 minutes. 2. You can eat at most 15 peaches: one yuan for 10 peaches, three peaches with nine peach stones, and 1 peach with three peach stones, and finally there are two peach stones left. Borrow a peach pit from a vendor and return it to him after eating. 3.A takes B across the river and A comes back by boat. A takes C across the river and A comes back by boat; BC rowed across the river and Bb rowed back; Aa rowed across the river and Cc rowed back; BC rowed across the river and let a row come back; A takes B across the river and A comes back by boat; A takes C across the river. Mission accomplished. ...