In short, conversion is a purposeful transformation.

Transformation thought refers to the process of a problem from difficult to easy, from complex to simple, from complex to simple, which is the abbreviation of transformation and solution.

In the process of solving problems, mathematicians often do not directly solve the original problems, but transform and transform the problems until they are classified as solved or easily solved. After some changes, the problem to be solved is simplified to another problem *, and then the original problem can be solved by solving the problem * and applying the solution result to the original problem. This solution to the problem is called reduction.

Induction is the basic thinking method to analyze and solve problems. In mathematics, the usual practice is to simplify a non-basic problem into a familiar basic problem by decomposition, deformation, replacement, or translation, rotation and expansion. To find a solution. For example, after learning the knowledge of linear equation of one variable and factorization, we can learn quadratic equation of one variable through factorization. It is solved by simplifying it into a linear equation of one variable. Later, when we were studying a special one-dimensional higher-order equation, we solved it by simplifying it into one-dimensional linear equation and one-dimensional quadratic equation. We have a similar method for unary inequality. For example, in plane geometry, after learning the related theorems such as the calculation of the sum and area of the internal angles of triangles, the calculation of the sum and area of the internal angles of N-polygons is also solved by splitting and splicing into several triangles. After we have learned the most basic and simple knowledge of conic curve, the research on general conic curve is also realized by translating or rotating the coordinate axis to make it become a basic conic curve (in the new coordinate system). Other examples, such as geometric problems turned into algebraic problems, solid geometric problems turned into plane geometric problems, and trigonometric functions of arbitrary angles turned into acute trigonometric functions, are even more. Mastering the thinking method of transformation is of great significance to mathematics learning. In short, the transformation principle is to transform the unknown into the known, the complex into the simple, the abstract into the concrete, the general into the special and the non-basic into the basic knowledge, so as to get the correct answer.