一、教学内容分析课题:定积分的背景—面积和路程问题课型:新授课教材:《普通高中课程标准数学教科书·数学选修2-2》(北师大版)教材分析:本节的主要内容是展现定积分的实际背景,形成定积分的概念。教材设计了3个实例:求曲边梯形的面积、根据物体运动的速度求路程、求物体拉力做的功。通过这些问题的解决,总结这些问题的解决思路:即通过分割求和、加细、减小误差,然后再提高精确度的过程,这个过程是定积分思想的核心,为定积 First, the teaching content analysis topics: the background of the definite integral - area and distance problems Course Type: New teaching materials: “ordinary high school curriculum standard mathematics textbooks, mathematics elective 2-2” (Beijing Normal University) Teaching material analysis: The main section of this section Content is to show the actual background of definite integral, forming the concept of definite integral. Textbook design of three examples: seeking trapezoidal area, according to the speed of the object to find the distance, find the object to do the work force. Through the solution of these problems, the solutions to these problems are summarized as follows: that is, the process of dividing the summation, increasing the fine, reducing the error and then increasing the precision. This process is the core of the definite integral idea,