【摘要】 探究了定积分定义的教学设计，从中国故事出发，以直线代替曲线和极限思想，抽象出求曲边梯形面积的数学模型，引出定积分的定义，并进一步从数形结合的角度，总结出定积分的几何意义和性质，最后理论联系实际，用MATLAB演示拱形桥面积的计算过程．在专业知识的授课过程中结合课程思政，着力启发学生严密的科学思维方法，落实育人为本，提高学生的数学素养．更多还原

【Abstract】 This paper explores the teaching design of the definition of definite integral. Starting from a Chinese story, the mathematical model of calculating the area of a trapezoid with a curved side is abstracted by replacing the idea of a curve with a straight line and the idea of limit,which leads to the definition of definite integral. The geometric significance and properties of definite integral are then summarized from the perspective of combining numbers and shapes. Finally,the calculation process of the area of an arch bridge is demonstrated by MATLAB. In the process of teaching professional knowledge with ideological and political education, it is imperative to inspire students to adopt rigorous scientific thinking methods, implement people-oriented education, and improve students’ mathematical literacy.更多还原