Look at the way you two blush. What are you arguing about? Teacher, we are arguing about the usage of "You" and "Guo" in the two sections of "Images of Positive Proportional Function" and "Images of Inverse Proportional Function" in the second volume of eighth grade mathematics of Jiangsu Education Press. A said: the meaning of "being" and "passing through" is equivalent. If point P (a, b) is on the image of function y=f (x), and the image of function y=f (x) passes through point P (a, b), there is a conclusion that b=f(a), so their meanings are equivalent. B said: There is a fundamental difference between "being" and "going through". For example, the image position of the inverse proportional function y=x, where k ≠0) can only be said to be "in" the two or four quadrants, but it can't be said to be "passing through" the two or four quadrants, which means that the image of the inverse proportional function intersects with the coordinate axis, but it is actually the inverse proportional function. The image position of the proportional function y=kx can only be said to "pass through" two or four quadrants, but not "in" two or four quadrants. If "in" two or four quadrants, it means that the image of y=kx does not pass through the origin. In fact, the image position of the proportional function y=kx is divided into three places, the second quadrant and the fourth quadrant and the origin. Your arguments are very reasonable, which shows that you can read carefully after class. A is understood from a geometric perspective, and "in" and "over" are equivalent at this time. B understand from the position property of function image. At this time, "being" and "passing" cannot be confused and replaced with each other. In mathematics, "being" means to specify a special position. The point "in" in the above-mentioned functional image and quadrant 2 and quadrant 4 of the image both indicate the designated special position. In mathematics, "passing" represents a regular movement trend, and both the function image "passing" point and the image "passing" two or four quadrants represent regular movement trends, and the laws and trends are embodied in "point" and "two or four quadrants". So "existence" and "experience" are sometimes understood as equivalent, and sometimes they are not.