Giới thiệu tài liệu
Document consists of six mathematical problems related to geometry, trigonometry, and calculus for high school or college students. The problems involve finding distances between points, calculating the longest path taken by a wooden stick, determining the time taken by a horse to move between two points on a rectangular field, and calculating the cost of building a road inside a playground in a housing complex.
Đối tượng sử dụng
High school and college students studying mathematics, particularly geometry, trigonometry, and calculus.
Nội dung tóm tắt
Problem 1 deals with finding the distance between two points on a rectangle, given their coordinates. Problem 2 involves finding the longest path a thin stick can take without intersecting itself as it moves from one rectangular tank to another at a right angle. In problem 3, we calculate the position of a plane passing over a control tower located at a certain distance from the tower. Problem 4 involves a horse moving on a rectangular field, with different speeds on each side, and calculating the minimum time it takes for the horse to move between two points. Problem 5 concerns building a road within a playground in a housing complex, given its dimensions, the width of the road, and the cost per meter. Lastly, problem 6 involves selecting a random student from a high school who plays the guitar, with the probability of choosing a member of the school's music club calculated based on the assumption that the selected student plays the guitar.
