How to help students master the images and properties of trigonometric functions

Pay great attention to the role of games when making introductions in class. Martin gardner, a western educator, once said that the best way to awaken students is to provide them with attractive games, puzzles, magic tricks, jokes, paradoxes, limericks and so on. And guide them to participate in the tasks to be completed in this section. There are methods to guide the class, but there is no fixed method, because people are different from time to time. The goal is to arouse the enthusiasm of students in classroom learning and arouse their thinking.

Making trigonometric function images is done by students themselves, and teachers and students cooperate. In order to deepen students' impression, we should try our best to give them the feeling that this image was accomplished by him independently. Teachers should infiltrate the standard images of sine function, cosine function and tangent function, and how to get the general function images of y=Asin(wx+), y=Acos(wx+) and y=Atan(wx+).

Let the students observe the image carefully, say several important properties of the image, and understand the function of the key points in the trigonometric function image.

Let students think about how to use images to get the properties of trigonometric functions, and do it by themselves to experience the interaction between images and the properties of functions. In addition, we should use the power of competition mechanism and evaluation to motivate students in time. And let the students summarize the basic steps of two-point drawing.