问题1用一根2米长的铁丝围成一个矩形,当长与宽分别是多少时,所围成的矩形的面积最大?在初中阶段,这个问题是一道很好的二次函数建模的问题.可设矩形的长为x米,宽则为(1-x)米,并设矩形的面积为y,可得y与x之间的函数关系式.所以当x=1/2时,y有最大值,即围成正方形时,面积最大.本题在解决时,利用了二次函数这一代 QUESTION 1 With a 2-meter-long wire surrounded by a rectangle, when the length and width, respectively, the maximum area enclosed by the rectangle? In the junior high school stage, this problem is a good quadratic function modeling The problem is that a rectangle of length x meters and a width of (1-x) meters can be set, and the area of ​​the rectangle is y, the function between y and x can be obtained. So when x = 1/2, y has the maximum value, that is, when the square is formed, the area is the largest. This problem is solved by using the quadratic function generation