2. socks. There are five pairs of socks of different colors in the drawer, and the lights are not turned on. How many socks of the same color do you need to pull out?
3. Egg problem: Xiao Zhang sells eggs and a basket of eggs. The first person comes to buy half, and Xiao Zhang gives him the other half. The second man bought another half, and Xiao Zhang gave him another egg. The third man bought another half egg, and Xiao Zhang gave him another one. The fourth man came to buy half, and Xiao Zhang gave him another one, just after buying the eggs! How many eggs has Xiao Zhang always had?
4 table problem, a square table, how many corners are there after cutting off a corner?
5. Cut tofu: Cut a piece of tofu three times. How many pieces can you cut at most?
6 cut watermelon problem: cut 7 petals with three knives and leave 8 skins after eating. How to cut?
7. Bamboo pole problem: Can a 5-meter-long bamboo pole pass through the door of 1 meter?
8. Paper box problem: Can a square box with a side length of one meter put down a stick of 1.5m?
9. Clock problem: 12 hours, how many times does the clock and minute hand repeat?
10. origami problem: a piece of paper with a thickness of 1mm is folded in half 1000 times. How high is the thickness?
Mathematics in the game
One day, Sister Xixi played a game for us: two people counted from 1 to 10 in turn, and only counted to 1, 2 or 3 at a time. Whoever reports 10 first wins.
Everyone wants to "knock down" each other, but how can they win 100%? This question has been echoing in my mind, which makes me puzzled.
After returning home, I picked ten stones in a small basket for a novice to operate. I called my father and asked him to play this game with me. I found a pen and a notebook and recorded every step I did. The rule is this: my father and I take turns to take stones, up to three, and at least 1. Whoever gets the last one wins.
I lost the first game. It turned out that my father took it first, and my father made me lose "miserably" in the shortest time; I won the second game first, and I really won. ...
I read the record several times, and finally found that I added up the largest and smallest numbers: 1+3 = 4, and divided the total number of stones by the sum of the largest and smallest numbers, which is 10 ÷ 4 = 2...2. If there is a remainder, I will take it first, and the remainder is only a few stones. If there is no remainder, I will take it first. Now that the remainder is 2, I will take 2 stones, and the sum of the remaining stones and the opponent is a divisor of 3, so I can win.
In order to ensure the accuracy of the answer, I took 28 stones and played with my father again. With the above rules, I am invincible! ! !
It turns out that mathematics is everywhere in life, and they are waiting for you to discover. Baidu can find it at once.