Random Point Distribution in Rectangle

This example demonstrates the probability distribution of random points selected within a rectangle. The core mathematical concepts include geometric properties of rectangles, perimeter calculation, and probability analysis of random processes. Construction highlights: ①Use Polygon command to draw rectangle ABCD; ②Calculate rectangle perimeter with Perimeter command; ③Generate random points inside the rectangle using PointIn command; ④Observe statistical characteristics of point distribution possibly by controlling the number of random points with sliders. This example is suitable for secondary school mathematics teaching of probability and geometry, helping students understand the application of random simulation methods in geometric probability.