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在高中数学的学习过程中,每个知识点的学习都会出现不同的问题.重要的是能够从这些错误中去查找出错的原因,避免犯同样的错误.下面利用高中数学里函数与方程之间的联系,通过解题错例来对零点存在定理以及函数的零点和相关方程根之间的联系进行相关的分析,进而分析高中教学中的难点.例1已知mx2+x+1=0有且只有一根在区间(0,1)内,求m的取值范围.解:可以设f(x)=mx2+x+1
In high school mathematics learning process, each knowledge point will appear different problems.It is important to be able to find out the cause of the error from these mistakes, to avoid making the same mistake.Using high school mathematics in the function and equation between , We analyze the relationship between the zero existence theorem, the zero point of the function and the root of the correlation equation by analyzing the error cases and then analyze the difficulties in high school teaching.Example 1 It is known that mx2 + x + 1 = 0 And only one in the interval (0,1), find the range of m. Solution: It can be set f (x) = mx2 + x +1