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弹道曲线是炮弹飞行的轨迹,这是一种很重要的曲线。高中数学课本《平面解析几何》(甲种本)全一册(以下简称《课本》)156贞。以弹道曲线为例,引进了曲线的参数方程这一概念,并相应配备了例题、习题和复习参考题,要求学生掌握炮弹的运行时间、射程、射高的计算方法。本文拟在直角坐标系中,用初等的方法讨论弹道曲线的若干问题,旨在沟通数学与
The ballistic curve is the trajectory of the projectile flight. This is a very important curve. High school mathematics textbook “Analysis of Plane Geometry” (A type of book) is a book (hereinafter referred to as “textbook”) 156 zhen. Taking the ballistic curve as an example, the concept of the parametric equation of the curve is introduced, and examples, exercises, and review reference questions are provided accordingly. The students are required to grasp the calculation methods of the running time, range, and shot height of the projectile. This article intends to discuss some issues of the ballistic curve in the Cartesian coordinate system with an elementary method, aiming to communicate mathematics and