What are the math problems in Mid-Autumn Festival?

The math problems related to Mid-Autumn Festival are as follows:

1, distribution of moon cakes: suppose there are three moon cakes and they are distributed to four people. How many moon cakes does each person get? This problem can be solved by division, that is, 3÷4=0.75, then everyone can get 0.75 moon cakes.

2. Moon profit and loss problem: During the Mid-Autumn Festival, the moon is the roundest, so how did the moon change from a new moon to a full moon in one month? This problem can be solved by observation and calculation. We can divide a month into four stages: new moon, first quarter moon, full moon and last quarter moon. Through observation and calculation, we can get the changing law of the moon in a month.

3. The shadow of the moon: During the Mid-Autumn Festival, the height angle of the moon is about 45 degrees. So in a circular playground, a person stands in the center of the playground. How long is his shadow? This problem can be solved by trigonometric function. Let the radius of the playground be r, then the length of the shadow is 2r× sin (45) = √ 2r.

4. The illumination of the moon: During the Mid-Autumn Festival, the illumination area of the moon is the largest. So in a circular playground, what is the moonlight area that a person can see when standing in the center of the playground? This problem can be solved by the area formula of geometric figures. Let the playground radius be r, then the moonlight area is πr? ×sin(45 )≈0.785r？ .

Beautiful implication of Mid-Autumn Festival

1, Mid-Autumn Festival symbolizes family reunion and happiness. This festival emphasizes the connection and emotional communication between family members. During the Mid-Autumn Festival, people put aside their busy work, go home to reunite with their families and enjoy family happiness. This tradition of reunion reflects China culture's emphasis on family and affection.

Mid-Autumn Festival symbolizes harvest and abundance. This festival is closely related to agricultural production. In ancient times, farmers harvested crops in autumn, so the Mid-Autumn Festival symbolizes harvest and abundance. During the Mid-Autumn Festival, people hold a series of celebration activities, such as enjoying the moon, eating moon cakes and solve riddles on the lanterns, to celebrate the joy of harvest.