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《数学通报》2006年第10期的文章《重视高中女生数学能力培养教学举措初探》中指出:“如何求函数y=x/(1-x3)的图象与其反函数(图象)的交点坐标?引导学生从反函数的性质考虑问题,利用原函数与反函数的图象交点落在直线y=x上,那么不必求出反函数,只需解方程x=x/(1-x3)即可迅速获
The article “Emphasize the importance of valuing high school girls’ mathematics ability to develop teaching in high school” was published in the 10th issue of Mathematics Bulletin: “How to find the intersection of the image of function y=x/(1-x3) and its inverse function (image). Coordinates guide students to consider problems from the nature of the inverse function, using the intersection of the image of the original function and the inverse function on the line y=x, then do not have to find the inverse function, just solve the equation x=x/(1-x3) You can get it quickly