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在二维空间,实数与坐标平面上的点建立了一一对应的关系,进而可以使函数解析式与函数图像、方程与曲线建立起一一对应关系,使数量的研究可以转化为图形性质的研究。1.利用函数的图像解决方程问题利用函数y=f(x)的图像与x轴交点的横坐标是方程f(x)=0的实根.根据函数y=f(x)与x轴的交点情况,就可以确定方程f(x)=0的实根的情况,即通过f(x)=0与y=f(x)的相互转化,利用函数y=f(x)的图像可以直观解决问题.例1.a为何值时,方程2a2x2+2ax+1-a2=0的两根在(-1,1)之内?
In two-dimensional space, the real numbers and the coordinates of the plane to establish a one-to-one correspondence between the points, which can make the function analytic and function images, equations and curves to establish a one-to-one correspondence so that the number of studies can be transformed into a graphical nature the study. 1. Image-Solving Equation Problems Using Functions The abscissa of the point of intersection of the image with the x axis using the function y = f (x) is the real root of the equation f (x) = 0. According to the function y = f (X) = 0, that is, the image using the function y = f (x) can be directly visualized through the mutual conversion of f (x) = 0 and y = f Solve the problem Example 1.a Why the value, the equation 2a2x2 +2 ax + 1-a2 = 0 two within (-1,1)?