Vector method and complex number method are two important mathematical thinking methods to solve problems in basic mathematics. In addition, with the help of vector method and complex number method to solve problems, we can use the viewpoint of connection and aesthetic point of view to carry out vertical and horizontal connection and extensive Association, reasonably reorganize and integrate the mathematical knowledge and thinking methods of each part, fully display the process of applying vector and complex number, and reflect vector and complex number The beauty of simplicity and structure of complex numbers<br>In this paper, with reference to the existing related works, under the condition of understanding the specific application of vector method and complex number method in basic mathematics, the author realizes the educational teaching value and cultural value of vector method and complex number method, learns the related theoretical knowledge of vector and complex number, and sums up the differences and connections between vector method and complex number method in solving problems from different types of examples<br>
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