平面坐标系内图形的面积计算常见于各类试题,本文仅探究正比例函数和与之平行的一次函数、反比例函数的图象,以及坐标轴形成的梯形面积的计算问题.这一问题联系的知识点较多,解法过程也较为有趣,通过学习可激发学生的学习兴趣,培养学生探究问题、解决问题的思维能力.笔者拟探索这类问题的一般形式与解题方法,供师生们交流参考. The calculation of the area of ​​the figure in the plane coordinate system is common in all kinds of examination questions. This article only explores the calculation of the proportional function and its parallel first-order and inverse-proportion function images and the trapezoidal area formed by the coordinate axes. More points, the solution process is also more interesting, through learning can stimulate students’ interest in learning, training students to explore problems and solve the problem of thinking ability.The author intends to explore the general form of such problems and problem solving methods for teachers and students exchange reference .