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性质:反比例函数图象过矩形一边的中点,则一定过矩形邻边的中点.题目:如图1.反比例函数y=k/x(k>0)的图象过矩形OABC的边BC的中点E,则与矩形的边AB相交的点F是AB的中点.证明:连接OE、OF,设CE=a.因为E是矩形OABC的边BC的中点,则BE=a,OA=BC=2a.
Nature: The image of the inverse scale function is over the midpoint of the rectangle side. It must be the midpoint of the rectangle’s neighbor. Title: Figure 1. The image of the inverse scale function y=k/x (k>0) over the edge of the rectangle OABC BC At the middle point E, the point F that intersects the edge AB of the rectangle is the midpoint of AB. Proof: Connect OE, OF, set CE=a. Because E is the midpoint of the edge BC of the rectangle OABC, then BE=a, OA=BC=2a.