数学创新题以问题为核心,以探究为途径,以发现为目的,为高层次思维创造了条件.数学创新题是挖掘、提炼数学思想、方法,充分展示应用数学思想解题的良好载体.现把一次函数中的创新题型列举如下,供同学们学习时参考.一、新定义例1(2013年舟山卷)对于点A(x1,y1),B(x2,y2),定义一种运算:A⊕B=(x1+x2)+(y1+y2).例如,A(-5,4),B(2,-3),A⊕B=(-5+2)+(4-3)=-2.若互不重合的四点C,D,E,F,满足C⊕D=D⊕E=E⊕F=F⊕D,则C,D,E,F四点(). Mathematical innovation is the key to the problem, to explore as a means of discovery, for the purpose of creating conditions for high-level thinking.Mathematical innovation is the excavation, refining mathematical ideas and methods, fully demonstrate the application of mathematical thinking to solve the problem of good carrier. A new definition of the type of function listed below, for students to learn reference. A new definition of Example 1 (2013 Zhoushan Juan) For the point A (x1, y1), B (x2, y2), define an operation : A⊕B = x1 + x2 + y1 + y2 For example, A (-5,4), B (2, -3), A⊕B = (- 5 + 2) + ) = - 2. If the four points C, D, E, F that do not coincide with each other satisfy C⊕D = D⊕E = E⊕F = F⊕D, then C, D, E, F four points ().