Students often encounter very complicated algebraic problems in math exercises and exams. If students spend a lot of time on calculation, it will affect the study of other knowledge sectors. In particular, filling in the blanks, single choice and other issues will waste students' problem-solving time to a certain extent and affect students' problem-solving efficiency. Therefore, teachers should guide students to use the idea of combining numbers and shapes to solve problems, correctly allocate the time for solving problems, and adjust students' thinking of solving problems, so that students can correctly answer questions in a short time, and when they encounter related mathematical problems, they can turn them into geometric figures, making it easier to get the answers to the questions.

For example, when teaching inverse proportional function, there is an example: P is the inverse proportional function y = 5/x, a moving point in the first quadrant branch, PA is perpendicular to the X axis, and with the increasing of X, what will happen to the area of triangle APO? This is a typical example. Teachers can guide students to use the idea of combining numbers with shapes and turn it into concrete geometric images to solve problems. Finally, we know that the triangle APO is a right triangle and will not change with the change of point P, and then we verify that the area is unchanged and get the answer.