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反比例函数一般可表示为y=k/x(k是常数k≠0).反比例函数解析式也可写成y=kx~(-1)的形式,自变量x的取值范围是x≠0的一切实数,函数值取值范围也是x≠0的一切实数反比例函数的图象是双曲线,它有两个分支,这两个分支分别位于第一第三象限或第二第四象限,它们关于原点对称,由于自变量x≠0函数值y≠0,因此它的图象与x轴y轴都没有交点,即双曲线的两个分支无限接近坐标轴,但永远与坐标轴不相交.本文对反比例的图象与性质,反比例函数与一次函数的图象的综合应用,反比例函数图象与有关面积问题举例探讨,供读者参考.
Inverse general function can be expressed as y = k / x (k is constant k ≠ 0). The inverse proportion function analytic formula can also be written as y = kx ~ (-1) form, the value of the argument x is x ≠ 0 All real numbers, the range of function values is also x ≠ 0 The image of all real inverse function is a hyperbola, it has two branches, the two branches are located in the first third quadrant or the second fourth quadrant, respectively, They are symmetric about the origin. Since the independent variable x ≠ 0 has the function value y ≠ 0, its image has no intersection with the x-axis and y-axis. That is, the two branches of the hyperbola are infinitely close to the coordinate axis but never intersect the coordinate axes In this paper, the inverse proportion of the image and the nature of the inverse function and the linear function of the image of the integrated application of inverse proportion function images and related area problems for example to explore for readers reference.