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一、问题提出《中小学数学》(初中版)2013年第4期刊载了朱月红的《由两次考试的“狼题”想到的》,文中的一道“狼题”引起了笔者的关注.原题再现如图1,已知一次函数y_1=kx+b图象与x轴相交于点A,与反比例函数y_2=c/x的图象相交于B(-1,5)、C(5/2,d)两点.点P(m、n)是一次函数y_1=kx+b的图象上的动点.设m=1-a,如果在两个实数m与n之间(不包括m和n)有且只有一个整数,求实数a的取值范围.此题选编自2012年江苏省泰州市中考压轴题,作者在其文中提到此题引起的争议很大,普遍认为超图1
First, the question put forward “primary and secondary mathematics” (junior high school edition) in 2013 the fourth issue of Zhu Yuehong “by the two exams” wolf “thought ” in the article “wolf ” caused the author The original title is reproduced as shown in Fig. 1. It is known that the image of the primary function y_1 = kx + b intersects with the x axis at the point A and intersects the image of the inverse proportion function y_2 = c / x at B (-1,5) The point P (m, n) is a moving point on the image of the linear function y_1 = kx + b. Let m = 1-a, and if two real numbers m and n (Excluding m and n) and only one integer, find the real a range of values.This question was selected from the 2012 Jiangsu province Taizhou city entrance exam questions, the author mentioned in this article caused controversy, It is generally believed that hypergraph 1