"Little Euler Changed the sheepfold" tells that Euler's father designed a rectangular sheepfold with a length of 40 meters and a width of 15 meters. During the construction, it was found that the sheepfold material was missing10m. When his father had a hard choice between adding material and shrinking the sheepfold, little Euler came up with a way. He shortened the length of the rectangular sheepfold by15m and extended the width by10m. After this change, the original rectangular sheepfold became a square with a side length of 25 meters. The circumference of a square is 254= 100 m, which is just less than the circumference of the original rectangle (15+40) 2 =10 m 100 m, so the material is just enough. At the same time, the square area is 2525=625 square meters, which is also larger than the original area of 40 15=600 square meters. Euler's method kills two birds with one stone, which not only saves materials, but also expands the area.
"Math prodigy Hipatia" tells the story of a female mathematician Hipatia 10 when her father took her to measure the height of the pyramid. In the eyes of ordinary people, measuring the height of an object is a very simple and easy thing. But because Hipatia's father is a mathematician, he asked his daughter to use the simplest method to measure, which is not easy. When little Hipatia was walking with his father, he accidentally found that his shadow overlapped with his father's shadow. Therefore, the clever Hipatia thought of indirectly measuring the height of the pyramid by using the method that the height is proportional to the shadow length. Because: human height/human shadow length = pyramid height/pyramid shadow length, we can easily calculate the actual height of the pyramid by measuring the length of the pyramid shadow and the length of the human shadow respectively when the human height is known.
Instead of thinking according to the inherent ideas of ordinary people, Little Euler and Hipatia used their brains to solve problems in life in unexpected ways. Compared with Euler and Hipatia, I feel blushing. Whenever I encounter difficulties and problems in my study, I seldom think in a different way and always consult my mother and teacher directly. By reading the stories of Euler and Hipatia, I deeply realized the importance of diligent thinking, good observation and multi-angle thinking.
Students! When we are troubled by the problems in our study and life, instead of imitating Euler and Hipatia, we should think in a different way, and the problem will probably be solved.