By studying that the secant slope and the tangent slope of the quadratic function are equal,that is,the secant and the tangent are parallel to each other,the obtained condition is that the average value of the transverse coordinate value of the intersection point of the quadratic function and the secant is equal to the transverse coordinate value of the tangent point of the quadratic function.Furthermore,this"Parallel"property of the quadratic function is extended to the higher order polynomial.By means of the numerical mean difference method,the conclusion that the"Parallel"property of the cutting line of the quadratic function is extended to the higher order polynomial is proved,which is related to the highest order of the higher order polynomial.
SecantTangent"Parallel"propertyMumerical Mean difference MethodHigher order polynomialHighest order
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