2010年高考湖北卷理科第(9)题为:若直线y=x+b与曲线y=3-(4x-x~2)~(1/2)有公共点,则实数b的取值范围是()(A)[-1,1 +22~(1/2)].(B)[1-22~(1/2),1 +22~(1/2).(C)[1-22~(1/2),3].(D)[1-2~(1/2),3].分析本题是一道以直线与曲线有公共点为背景的参数取值问题,可以从多个解题视角(比如函数与方程思想、数形结合思想以及换元法等)进 2010 Hubei college entrance examination Curriculum Section (9) entitled: If the line y = x + b and the curve y = 3- (4x-x ~ 2) ~ (1/2) have a common point, the real b range (C) [1 (1)] - [1, 1 + 22 ~ (1/2)] -22 ~ (1/2), 3]. (D) [1-2 ~ (1/2), 3] Analysis of the problem is a common point with a straight line and the curve as the background of the parameter value problem can be Multiple problem-solving perspectives (such as the function and the idea of ​​equations, the idea of ​​number and form combination, etc.)