A line segment connecting any two points on a circle is called a chord. A circle divided by a diameter and a chord can get up to 4 pieces. If two diameters are separated by a chord, you can get as many as seven pieces.
A circle divided by three diameters and a chord can get at most 10; If you divide by five diameters and one chord, you can get 16 at most; If you want to divide a circle into 3 1 blocks, you need at least 10 diameters and a chord. You found the law of 3N+ 1.
Five, solve the problem (this kind of big problem should explain the process, formula and figures in detail)
1. It takes about 365 days for the sun to go around the earth, which is four times longer than that of Mercury and 13 days longer. Mercury takes about (365- 13)/4 = 88 days to orbit the sun.
There are 36 stamps in Xiao Fang, accounting for three-quarters of the number of small red stamps. Xiaohua has one third more stamps than Xiao Fang. (1) Xiaohong has 36 (3/4) = 48 stamps (2) Xiaohua has 36 × (1+ 1/3) = 48 stamps.
3. Uncle Li opened a flower shop, each bouquet of lilies 10. The purchase price is 55 yuan per bundle, and the retail price is 8 yuan per bundle. When selling 10 lily, Uncle Li Can earns 8× 10-55=25 yuan.
Xiao Ming marches 40 meters per minute, and Xiao Fang marches 60 meters per minute. Four Seasons Pavilion is 900 meters away from Moon Lake, 600 meters away from bonsai garden, and Moon Lake is 500 meters away from bonsai garden.
(1) Xiaoming and Xiao Fang set out from Sijige at the same time and went to Moon Lake and Taoyuan respectively. When Xiao Fang arrived at Taoyuan, Xiao Ming traveled (600/60) × 40 = 400km.
(2) After arriving at the destination, the two people set off from Moon Lake and bonsai garden at the same time, face to face, 500/(60+40) = meet in 5 minutes.
5. A formula of fruit juice: 300g orange meat, 1500ml lemonade, and 750ml orange juice is enough for 6 people.
(1) It takes (1500/6) × 10 = 2500ml lemon to make10 people's juice.
(2) Xiao Ming made it according to this formula, using 2 liters of orange juice. He did enough for 2000/(750/6) = 16 people to drink.