Because of the special position of the course "Image and Properties of Exponential Function", in the teaching design of this course, I try to make students not only understand and simply apply the knowledge of exponential function, but also expect to guide students to master the general ideas and methods of learning the image properties of elementary functions, so as to prepare for learning other functions in the future, so as to achieve the purpose of cultivating students' learning ability. According to my own teaching mode of "induced thinking and inquiry" and "situational teaching mode",

Create a problem scenario. Let students draw the images of exponential function y=2x and y=( 1/2)x first, so as to arouse students' initiative, stimulate their inquiry psychology and introduce the topic smoothly. This exercise is only to prepare for learning the images with cardinality greater than 1 and cardinality greater than 0 but less than 1 in the exponential function.

2. Strengthen the understanding and application of "images and properties of exponential function", and guide students to study its properties by combining the images of exponential function y=2x and y=( 1/2)x, and then expand to study the images and properties of general exponential function, so that students can fully experience the process of knowledge generation and apply it to specific mathematical problems.

3. Highlight the role of images. In the process of mathematics learning, graphics always make us an important auxiliary means. A mathematician once said, "If the number deviates from the shape, it is not so intuitive, but if the number deviates from the shape, it is difficult to be subtle." When studying the image and properties of exponential function, the properties are directly obtained from the image observation, so the image plays a major role.

4. Pay attention to the connection between mathematics and life and practice. The essence of mathematics comes from life and serves practice. In the introduction of classroom teaching, the explanation of examples and the expansion of extracurricular knowledge, the mathematical problems in life closely related to exponential function are introduced, so that students can understand the role of mathematics as a basic subject and cultivate their awareness of mathematical application.