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笔者今示例应用导数求含参变量的取值范围,以便同过去应用初等方法求含参变量的式子进行对比,显示导数在解题中思路清晰,学生易懂的优点。例1:设集合A=狖(x、y)|y=x2+ax+2狚B=狖(x、y)|y=x+10≤x≤2狚且A∩B≠,求实数a的取值范围。分析:一般求两曲线
In this example, the author uses the derivative to find the range of the value of the parameter variable, so as to compare with the previous method of applying the primary method to the expression of the parameter variable, and to show the advantages of the derivative in the solving problem and the clear understanding of the student. Example 1: Let the set A = 狖(x, y) | y = x2 + ax + 2 狚 B = 狖 (x, y) | y = x + 10 ≤ x ≤ 2 狚 and A ∩ B ≠ , find the range of real numbers a. Analysis: Generally seeking two curves